id sid tid token lemma pos 10_1101-2021_01_06_425544 1 1 Complex Complex NNP 10_1101-2021_01_06_425544 1 2 Systems Systems NNP 10_1101-2021_01_06_425544 1 3 Analysis Analysis NNP 10_1101-2021_01_06_425544 1 4 Informs Informs NNPS 10_1101-2021_01_06_425544 1 5 on on IN 10_1101-2021_01_06_425544 1 6 the the DT 10_1101-2021_01_06_425544 1 7 Spread spread NN 10_1101-2021_01_06_425544 1 8 of of IN 10_1101-2021_01_06_425544 1 9 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 1 10 Complex Complex NNP 10_1101-2021_01_06_425544 1 11 Systems Systems NNP 10_1101-2021_01_06_425544 1 12 Analysis Analysis NNP 10_1101-2021_01_06_425544 1 13 Informs Informs NNPS 10_1101-2021_01_06_425544 1 14 on on IN 10_1101-2021_01_06_425544 1 15 the the DT 10_1101-2021_01_06_425544 1 16 Spread spread NN 10_1101-2021_01_06_425544 1 17 of of IN 10_1101-2021_01_06_425544 1 18 COVID-19 COVID-19 NNP 10_1101-2021_01_06_425544 1 19 Xia Xia NNP 10_1101-2021_01_06_425544 1 20 Wang1 wang1 NN 10_1101-2021_01_06_425544 1 21 , , , 10_1101-2021_01_06_425544 1 22 Dorcas Dorcas NNP 10_1101-2021_01_06_425544 1 23 Washington2 Washington2 NNP 10_1101-2021_01_06_425544 1 24 , , , 10_1101-2021_01_06_425544 1 25 Georg Georg NNP 10_1101-2021_01_06_425544 1 26 F. F. NNP 10_1101-2021_01_06_425544 1 27 Weber3 Weber3 NNP 10_1101-2021_01_06_425544 1 28 * * NFP 10_1101-2021_01_06_425544 1 29 1 1 CD 10_1101-2021_01_06_425544 1 30 University University NNP 10_1101-2021_01_06_425544 1 31 of of IN 10_1101-2021_01_06_425544 1 32 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 33 Department Department NNP 10_1101-2021_01_06_425544 1 34 of of IN 10_1101-2021_01_06_425544 1 35 Mathematical Mathematical NNP 10_1101-2021_01_06_425544 1 36 Sciences Sciences NNPS 10_1101-2021_01_06_425544 1 37 , , , 10_1101-2021_01_06_425544 1 38 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 39 , , , 10_1101-2021_01_06_425544 1 40 OH oh UH 10_1101-2021_01_06_425544 1 41 , , , 10_1101-2021_01_06_425544 1 42 USA USA NNP 10_1101-2021_01_06_425544 1 43 2 2 CD 10_1101-2021_01_06_425544 1 44 University University NNP 10_1101-2021_01_06_425544 1 45 of of IN 10_1101-2021_01_06_425544 1 46 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 47 Health Health NNP 10_1101-2021_01_06_425544 1 48 Science Science NNP 10_1101-2021_01_06_425544 1 49 Library Library NNP 10_1101-2021_01_06_425544 1 50 , , , 10_1101-2021_01_06_425544 1 51 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 52 , , , 10_1101-2021_01_06_425544 1 53 OH oh UH 10_1101-2021_01_06_425544 1 54 , , , 10_1101-2021_01_06_425544 1 55 USA USA NNP 10_1101-2021_01_06_425544 1 56 3 3 CD 10_1101-2021_01_06_425544 1 57 University University NNP 10_1101-2021_01_06_425544 1 58 of of IN 10_1101-2021_01_06_425544 1 59 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 60 Academic Academic NNP 10_1101-2021_01_06_425544 1 61 Health Health NNP 10_1101-2021_01_06_425544 1 62 Center Center NNP 10_1101-2021_01_06_425544 1 63 , , , 10_1101-2021_01_06_425544 1 64 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 65 , , , 10_1101-2021_01_06_425544 1 66 OH oh UH 10_1101-2021_01_06_425544 1 67 , , , 10_1101-2021_01_06_425544 1 68 USA USA NNP 10_1101-2021_01_06_425544 1 69 * * NFP 10_1101-2021_01_06_425544 1 70 send send VBP 10_1101-2021_01_06_425544 1 71 correspondence correspondence NN 10_1101-2021_01_06_425544 1 72 to to IN 10_1101-2021_01_06_425544 1 73 : : : 10_1101-2021_01_06_425544 1 74 Georg Georg NNP 10_1101-2021_01_06_425544 1 75 F. F. NNP 10_1101-2021_01_06_425544 1 76 Weber Weber NNP 10_1101-2021_01_06_425544 1 77 , , , 10_1101-2021_01_06_425544 1 78 James James NNP 10_1101-2021_01_06_425544 1 79 L. L. NNP 10_1101-2021_01_06_425544 1 80 Winkle Winkle NNP 10_1101-2021_01_06_425544 1 81 College College NNP 10_1101-2021_01_06_425544 1 82 of of IN 10_1101-2021_01_06_425544 1 83 Pharmacy Pharmacy NNP 10_1101-2021_01_06_425544 1 84 , , , 10_1101-2021_01_06_425544 1 85 University University NNP 10_1101-2021_01_06_425544 1 86 of of IN 10_1101-2021_01_06_425544 1 87 Cincinnati Cincinnati NNP 10_1101-2021_01_06_425544 1 88 , , , 10_1101-2021_01_06_425544 1 89 231 231 CD 10_1101-2021_01_06_425544 1 90 Albert Albert NNP 10_1101-2021_01_06_425544 1 91 Sabin Sabin NNP 10_1101-2021_01_06_425544 1 92 Way Way NNP 10_1101-2021_01_06_425544 1 93 , , , 10_1101-2021_01_06_425544 1 94 OH oh NN 10_1101-2021_01_06_425544 1 95 45267 45267 CD 10_1101-2021_01_06_425544 1 96 - - SYM 10_1101-2021_01_06_425544 1 97 0514 0514 CD 10_1101-2021_01_06_425544 1 98 . . . 10_1101-2021_01_06_425544 2 1 E e NN 10_1101-2021_01_06_425544 2 2 - - NN 10_1101-2021_01_06_425544 2 3 mail mail NN 10_1101-2021_01_06_425544 2 4 : : : 10_1101-2021_01_06_425544 2 5 georg.weber@uc.edu georg.weber@uc.edu NNS 10_1101-2021_01_06_425544 2 6 , , , 10_1101-2021_01_06_425544 2 7 phone phone NN 10_1101-2021_01_06_425544 2 8 513- 513- CD 10_1101-2021_01_06_425544 2 9 558 558 CD 10_1101-2021_01_06_425544 2 10 - - HYPH 10_1101-2021_01_06_425544 2 11 0947 0947 CD 10_1101-2021_01_06_425544 2 12 . . . 10_1101-2021_01_06_425544 3 1 .CC .CC NFP 10_1101-2021_01_06_425544 3 2 - - : 10_1101-2021_01_06_425544 3 3 BY by IN 10_1101-2021_01_06_425544 3 4 4.0 4.0 CD 10_1101-2021_01_06_425544 3 5 International International NNP 10_1101-2021_01_06_425544 3 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 3 7 under under IN 10_1101-2021_01_06_425544 3 8 a a DT 10_1101-2021_01_06_425544 3 9 ( ( -LRB- 10_1101-2021_01_06_425544 3 10 which which WDT 10_1101-2021_01_06_425544 3 11 was be VBD 10_1101-2021_01_06_425544 3 12 not not RB 10_1101-2021_01_06_425544 3 13 certified certify VBN 10_1101-2021_01_06_425544 3 14 by by IN 10_1101-2021_01_06_425544 3 15 peer peer NN 10_1101-2021_01_06_425544 3 16 review review NN 10_1101-2021_01_06_425544 3 17 ) ) -RRB- 10_1101-2021_01_06_425544 3 18 is be VBZ 10_1101-2021_01_06_425544 3 19 the the DT 10_1101-2021_01_06_425544 3 20 author author NN 10_1101-2021_01_06_425544 3 21 / / SYM 10_1101-2021_01_06_425544 3 22 funder funder NN 10_1101-2021_01_06_425544 3 23 , , , 10_1101-2021_01_06_425544 3 24 who who WP 10_1101-2021_01_06_425544 3 25 has have VBZ 10_1101-2021_01_06_425544 3 26 granted grant VBN 10_1101-2021_01_06_425544 3 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 3 28 a a DT 10_1101-2021_01_06_425544 3 29 license license NN 10_1101-2021_01_06_425544 3 30 to to TO 10_1101-2021_01_06_425544 3 31 display display VB 10_1101-2021_01_06_425544 3 32 the the DT 10_1101-2021_01_06_425544 3 33 preprint preprint NN 10_1101-2021_01_06_425544 3 34 in in IN 10_1101-2021_01_06_425544 3 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 3 36 . . . 10_1101-2021_01_06_425544 4 1 It -PRON- PRP 10_1101-2021_01_06_425544 4 2 is be VBZ 10_1101-2021_01_06_425544 4 3 made make VBN 10_1101-2021_01_06_425544 4 4 The the DT 10_1101-2021_01_06_425544 4 5 copyright copyright NN 10_1101-2021_01_06_425544 4 6 holder holder NN 10_1101-2021_01_06_425544 4 7 for for IN 10_1101-2021_01_06_425544 4 8 this this DT 10_1101-2021_01_06_425544 4 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 4 10 version version NN 10_1101-2021_01_06_425544 4 11 posted post VBD 10_1101-2021_01_06_425544 4 12 January January NNP 10_1101-2021_01_06_425544 4 13 6 6 CD 10_1101-2021_01_06_425544 4 14 , , , 10_1101-2021_01_06_425544 4 15 2021 2021 CD 10_1101-2021_01_06_425544 4 16 . . . 10_1101-2021_01_06_425544 4 17 ; ; : 10_1101-2021_01_06_425544 4 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 4 19 : : : 10_1101-2021_01_06_425544 4 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 4 21 preprint preprint NN 10_1101-2021_01_06_425544 4 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 4 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 4 24 Abstract Abstract NNP 10_1101-2021_01_06_425544 4 25 The the DT 10_1101-2021_01_06_425544 4 26 non non JJ 10_1101-2021_01_06_425544 4 27 - - JJ 10_1101-2021_01_06_425544 4 28 linear linear JJ 10_1101-2021_01_06_425544 4 29 progression progression NN 10_1101-2021_01_06_425544 4 30 of of IN 10_1101-2021_01_06_425544 4 31 new new JJ 10_1101-2021_01_06_425544 4 32 infection infection NN 10_1101-2021_01_06_425544 4 33 numbers number NNS 10_1101-2021_01_06_425544 4 34 in in IN 10_1101-2021_01_06_425544 4 35 a a DT 10_1101-2021_01_06_425544 4 36 pandemic pandemic JJ 10_1101-2021_01_06_425544 4 37 poses pose VBZ 10_1101-2021_01_06_425544 4 38 challenges challenge NNS 10_1101-2021_01_06_425544 4 39 to to IN 10_1101-2021_01_06_425544 4 40 the the DT 10_1101-2021_01_06_425544 4 41 evaluation evaluation NN 10_1101-2021_01_06_425544 4 42 of of IN 10_1101-2021_01_06_425544 4 43 its -PRON- PRP$ 10_1101-2021_01_06_425544 4 44 management management NN 10_1101-2021_01_06_425544 4 45 . . . 10_1101-2021_01_06_425544 5 1 The the DT 10_1101-2021_01_06_425544 5 2 tools tool NNS 10_1101-2021_01_06_425544 5 3 of of IN 10_1101-2021_01_06_425544 5 4 complex complex JJ 10_1101-2021_01_06_425544 5 5 systems system NNS 10_1101-2021_01_06_425544 5 6 research research NN 10_1101-2021_01_06_425544 5 7 may may MD 10_1101-2021_01_06_425544 5 8 aid aid VB 10_1101-2021_01_06_425544 5 9 in in IN 10_1101-2021_01_06_425544 5 10 attaining attain VBG 10_1101-2021_01_06_425544 5 11 information information NN 10_1101-2021_01_06_425544 5 12 that that WDT 10_1101-2021_01_06_425544 5 13 would would MD 10_1101-2021_01_06_425544 5 14 be be VB 10_1101-2021_01_06_425544 5 15 difficult difficult JJ 10_1101-2021_01_06_425544 5 16 to to TO 10_1101-2021_01_06_425544 5 17 extract extract VB 10_1101-2021_01_06_425544 5 18 with with IN 10_1101-2021_01_06_425544 5 19 other other JJ 10_1101-2021_01_06_425544 5 20 means mean NNS 10_1101-2021_01_06_425544 5 21 . . . 10_1101-2021_01_06_425544 6 1 To to TO 10_1101-2021_01_06_425544 6 2 study study VB 10_1101-2021_01_06_425544 6 3 the the DT 10_1101-2021_01_06_425544 6 4 COVID-19 covid-19 JJ 10_1101-2021_01_06_425544 6 5 pandemic pandemic NN 10_1101-2021_01_06_425544 6 6 , , , 10_1101-2021_01_06_425544 6 7 we -PRON- PRP 10_1101-2021_01_06_425544 6 8 utilize utilize VBP 10_1101-2021_01_06_425544 6 9 the the DT 10_1101-2021_01_06_425544 6 10 reported report VBN 10_1101-2021_01_06_425544 6 11 new new JJ 10_1101-2021_01_06_425544 6 12 cases case NNS 10_1101-2021_01_06_425544 6 13 per per IN 10_1101-2021_01_06_425544 6 14 day day NN 10_1101-2021_01_06_425544 6 15 for for IN 10_1101-2021_01_06_425544 6 16 the the DT 10_1101-2021_01_06_425544 6 17 globe globe NN 10_1101-2021_01_06_425544 6 18 , , , 10_1101-2021_01_06_425544 6 19 nine nine CD 10_1101-2021_01_06_425544 6 20 countries country NNS 10_1101-2021_01_06_425544 6 21 and and CC 10_1101-2021_01_06_425544 6 22 six six CD 10_1101-2021_01_06_425544 6 23 US US NNP 10_1101-2021_01_06_425544 6 24 states state NNS 10_1101-2021_01_06_425544 6 25 through through IN 10_1101-2021_01_06_425544 6 26 October October NNP 10_1101-2021_01_06_425544 6 27 2020 2020 CD 10_1101-2021_01_06_425544 6 28 . . . 10_1101-2021_01_06_425544 7 1 Fourier fourier RBR 10_1101-2021_01_06_425544 7 2 and and CC 10_1101-2021_01_06_425544 7 3 univariate univariate JJ 10_1101-2021_01_06_425544 7 4 wavelet wavelet NN 10_1101-2021_01_06_425544 7 5 analyses analysis NNS 10_1101-2021_01_06_425544 7 6 inform inform VBP 10_1101-2021_01_06_425544 7 7 on on IN 10_1101-2021_01_06_425544 7 8 periodicity periodicity NN 10_1101-2021_01_06_425544 7 9 and and CC 10_1101-2021_01_06_425544 7 10 extent extent NN 10_1101-2021_01_06_425544 7 11 of of IN 10_1101-2021_01_06_425544 7 12 change change NN 10_1101-2021_01_06_425544 7 13 . . . 10_1101-2021_01_06_425544 8 1 Evaluating evaluate VBG 10_1101-2021_01_06_425544 8 2 time time NN 10_1101-2021_01_06_425544 8 3 - - HYPH 10_1101-2021_01_06_425544 8 4 lagged lag VBN 10_1101-2021_01_06_425544 8 5 data data NN 10_1101-2021_01_06_425544 8 6 sets set NNS 10_1101-2021_01_06_425544 8 7 of of IN 10_1101-2021_01_06_425544 8 8 various various JJ 10_1101-2021_01_06_425544 8 9 lag lag NN 10_1101-2021_01_06_425544 8 10 lengths length NNS 10_1101-2021_01_06_425544 8 11 , , , 10_1101-2021_01_06_425544 8 12 we -PRON- PRP 10_1101-2021_01_06_425544 8 13 find find VBP 10_1101-2021_01_06_425544 8 14 that that IN 10_1101-2021_01_06_425544 8 15 the the DT 10_1101-2021_01_06_425544 8 16 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 8 17 function function NN 10_1101-2021_01_06_425544 8 18 , , , 10_1101-2021_01_06_425544 8 19 average average JJ 10_1101-2021_01_06_425544 8 20 mutual mutual JJ 10_1101-2021_01_06_425544 8 21 information information NN 10_1101-2021_01_06_425544 8 22 and and CC 10_1101-2021_01_06_425544 8 23 box box NN 10_1101-2021_01_06_425544 8 24 counting count VBG 10_1101-2021_01_06_425544 8 25 dimension dimension NN 10_1101-2021_01_06_425544 8 26 represent represent VBP 10_1101-2021_01_06_425544 8 27 good good JJ 10_1101-2021_01_06_425544 8 28 quantitative quantitative JJ 10_1101-2021_01_06_425544 8 29 readouts readout NNS 10_1101-2021_01_06_425544 8 30 for for IN 10_1101-2021_01_06_425544 8 31 the the DT 10_1101-2021_01_06_425544 8 32 progression progression NN 10_1101-2021_01_06_425544 8 33 of of IN 10_1101-2021_01_06_425544 8 34 new new JJ 10_1101-2021_01_06_425544 8 35 infections infection NNS 10_1101-2021_01_06_425544 8 36 . . . 10_1101-2021_01_06_425544 9 1 Bivariate bivariate JJ 10_1101-2021_01_06_425544 9 2 wavelet wavelet NN 10_1101-2021_01_06_425544 9 3 analysis analysis NN 10_1101-2021_01_06_425544 9 4 and and CC 10_1101-2021_01_06_425544 9 5 return return NN 10_1101-2021_01_06_425544 9 6 plots plot NNS 10_1101-2021_01_06_425544 9 7 give give VBP 10_1101-2021_01_06_425544 9 8 indications indication NNS 10_1101-2021_01_06_425544 9 9 of of IN 10_1101-2021_01_06_425544 9 10 containment containment NN 10_1101-2021_01_06_425544 9 11 versus versus IN 10_1101-2021_01_06_425544 9 12 exacerbation exacerbation NN 10_1101-2021_01_06_425544 9 13 . . . 10_1101-2021_01_06_425544 10 1 Homogeneity homogeneity NN 10_1101-2021_01_06_425544 10 2 or or CC 10_1101-2021_01_06_425544 10 3 heterogeneity heterogeneity NN 10_1101-2021_01_06_425544 10 4 in in IN 10_1101-2021_01_06_425544 10 5 the the DT 10_1101-2021_01_06_425544 10 6 population population NN 10_1101-2021_01_06_425544 10 7 response response NN 10_1101-2021_01_06_425544 10 8 , , , 10_1101-2021_01_06_425544 10 9 uptick uptick NN 10_1101-2021_01_06_425544 10 10 versus versus IN 10_1101-2021_01_06_425544 10 11 suppression suppression NN 10_1101-2021_01_06_425544 10 12 , , , 10_1101-2021_01_06_425544 10 13 and and CC 10_1101-2021_01_06_425544 10 14 worsening worsen VBG 10_1101-2021_01_06_425544 10 15 or or CC 10_1101-2021_01_06_425544 10 16 improving improve VBG 10_1101-2021_01_06_425544 10 17 trends trend NNS 10_1101-2021_01_06_425544 10 18 are be VBP 10_1101-2021_01_06_425544 10 19 discernible discernible JJ 10_1101-2021_01_06_425544 10 20 , , , 10_1101-2021_01_06_425544 10 21 in in IN 10_1101-2021_01_06_425544 10 22 part part NN 10_1101-2021_01_06_425544 10 23 by by IN 10_1101-2021_01_06_425544 10 24 plotting plot VBG 10_1101-2021_01_06_425544 10 25 various various JJ 10_1101-2021_01_06_425544 10 26 time time NN 10_1101-2021_01_06_425544 10 27 lags lag NNS 10_1101-2021_01_06_425544 10 28 in in IN 10_1101-2021_01_06_425544 10 29 three three CD 10_1101-2021_01_06_425544 10 30 dimensions dimension NNS 10_1101-2021_01_06_425544 10 31 . . . 10_1101-2021_01_06_425544 11 1 The the DT 10_1101-2021_01_06_425544 11 2 analysis analysis NN 10_1101-2021_01_06_425544 11 3 of of IN 10_1101-2021_01_06_425544 11 4 epidemic epidemic NN 10_1101-2021_01_06_425544 11 5 or or CC 10_1101-2021_01_06_425544 11 6 pandemic pandemic JJ 10_1101-2021_01_06_425544 11 7 progression progression NN 10_1101-2021_01_06_425544 11 8 with with IN 10_1101-2021_01_06_425544 11 9 the the DT 10_1101-2021_01_06_425544 11 10 techniques technique NNS 10_1101-2021_01_06_425544 11 11 available available JJ 10_1101-2021_01_06_425544 11 12 for for IN 10_1101-2021_01_06_425544 11 13 observed observed JJ 10_1101-2021_01_06_425544 11 14 ( ( -LRB- 10_1101-2021_01_06_425544 11 15 noisy noisy NNP 10_1101-2021_01_06_425544 11 16 ) ) -RRB- 10_1101-2021_01_06_425544 11 17 complex complex JJ 10_1101-2021_01_06_425544 11 18 data datum NNS 10_1101-2021_01_06_425544 11 19 can can MD 10_1101-2021_01_06_425544 11 20 aid aid VB 10_1101-2021_01_06_425544 11 21 decision decision NN 10_1101-2021_01_06_425544 11 22 making make VBG 10_1101-2021_01_06_425544 11 23 in in IN 10_1101-2021_01_06_425544 11 24 the the DT 10_1101-2021_01_06_425544 11 25 public public JJ 10_1101-2021_01_06_425544 11 26 health health NN 10_1101-2021_01_06_425544 11 27 response response NN 10_1101-2021_01_06_425544 11 28 . . . 10_1101-2021_01_06_425544 12 1 Keywords keyword NNS 10_1101-2021_01_06_425544 12 2 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 12 3 , , , 10_1101-2021_01_06_425544 12 4 epidemiology epidemiology NN 10_1101-2021_01_06_425544 12 5 , , , 10_1101-2021_01_06_425544 12 6 new new JJ 10_1101-2021_01_06_425544 12 7 infections infection NNS 10_1101-2021_01_06_425544 12 8 , , , 10_1101-2021_01_06_425544 12 9 complex complex JJ 10_1101-2021_01_06_425544 12 10 systems system NNS 10_1101-2021_01_06_425544 12 11 , , , 10_1101-2021_01_06_425544 12 12 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 12 13 , , , 10_1101-2021_01_06_425544 12 14 fractal fractal JJ 10_1101-2021_01_06_425544 12 15 dimension dimension NN 10_1101-2021_01_06_425544 12 16 , , , 10_1101-2021_01_06_425544 12 17 average average JJ 10_1101-2021_01_06_425544 12 18 mutual mutual JJ 10_1101-2021_01_06_425544 12 19 information information NN 10_1101-2021_01_06_425544 12 20 , , , 10_1101-2021_01_06_425544 12 21 wavelet wavelet NN 10_1101-2021_01_06_425544 12 22 analysis analysis NN 10_1101-2021_01_06_425544 12 23 .CC .CC NFP 10_1101-2021_01_06_425544 12 24 - - : 10_1101-2021_01_06_425544 12 25 BY by IN 10_1101-2021_01_06_425544 12 26 4.0 4.0 CD 10_1101-2021_01_06_425544 12 27 International International NNP 10_1101-2021_01_06_425544 12 28 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 12 29 under under IN 10_1101-2021_01_06_425544 12 30 a a DT 10_1101-2021_01_06_425544 12 31 ( ( -LRB- 10_1101-2021_01_06_425544 12 32 which which WDT 10_1101-2021_01_06_425544 12 33 was be VBD 10_1101-2021_01_06_425544 12 34 not not RB 10_1101-2021_01_06_425544 12 35 certified certify VBN 10_1101-2021_01_06_425544 12 36 by by IN 10_1101-2021_01_06_425544 12 37 peer peer NN 10_1101-2021_01_06_425544 12 38 review review NN 10_1101-2021_01_06_425544 12 39 ) ) -RRB- 10_1101-2021_01_06_425544 12 40 is be VBZ 10_1101-2021_01_06_425544 12 41 the the DT 10_1101-2021_01_06_425544 12 42 author author NN 10_1101-2021_01_06_425544 12 43 / / SYM 10_1101-2021_01_06_425544 12 44 funder funder NN 10_1101-2021_01_06_425544 12 45 , , , 10_1101-2021_01_06_425544 12 46 who who WP 10_1101-2021_01_06_425544 12 47 has have VBZ 10_1101-2021_01_06_425544 12 48 granted grant VBN 10_1101-2021_01_06_425544 12 49 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 12 50 a a DT 10_1101-2021_01_06_425544 12 51 license license NN 10_1101-2021_01_06_425544 12 52 to to TO 10_1101-2021_01_06_425544 12 53 display display VB 10_1101-2021_01_06_425544 12 54 the the DT 10_1101-2021_01_06_425544 12 55 preprint preprint NN 10_1101-2021_01_06_425544 12 56 in in IN 10_1101-2021_01_06_425544 12 57 perpetuity perpetuity NN 10_1101-2021_01_06_425544 12 58 . . . 10_1101-2021_01_06_425544 13 1 It -PRON- PRP 10_1101-2021_01_06_425544 13 2 is be VBZ 10_1101-2021_01_06_425544 13 3 made make VBN 10_1101-2021_01_06_425544 13 4 The the DT 10_1101-2021_01_06_425544 13 5 copyright copyright NN 10_1101-2021_01_06_425544 13 6 holder holder NN 10_1101-2021_01_06_425544 13 7 for for IN 10_1101-2021_01_06_425544 13 8 this this DT 10_1101-2021_01_06_425544 13 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 13 10 version version NN 10_1101-2021_01_06_425544 13 11 posted post VBD 10_1101-2021_01_06_425544 13 12 January January NNP 10_1101-2021_01_06_425544 13 13 6 6 CD 10_1101-2021_01_06_425544 13 14 , , , 10_1101-2021_01_06_425544 13 15 2021 2021 CD 10_1101-2021_01_06_425544 13 16 . . . 10_1101-2021_01_06_425544 13 17 ; ; : 10_1101-2021_01_06_425544 13 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 13 19 : : : 10_1101-2021_01_06_425544 13 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 13 21 preprint preprint NN 10_1101-2021_01_06_425544 13 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 13 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 13 24 Introduction introduction NN 10_1101-2021_01_06_425544 13 25 The the DT 10_1101-2021_01_06_425544 13 26 spread spread NN 10_1101-2021_01_06_425544 13 27 of of IN 10_1101-2021_01_06_425544 13 28 infectious infectious JJ 10_1101-2021_01_06_425544 13 29 diseases disease NNS 10_1101-2021_01_06_425544 13 30 depends depend VBZ 10_1101-2021_01_06_425544 13 31 on on IN 10_1101-2021_01_06_425544 13 32 pathogen pathogen NN 10_1101-2021_01_06_425544 13 33 factors factor NNS 10_1101-2021_01_06_425544 13 34 ( ( -LRB- 10_1101-2021_01_06_425544 13 35 virulence virulence NN 10_1101-2021_01_06_425544 13 36 ) ) -RRB- 10_1101-2021_01_06_425544 13 37 , , , 10_1101-2021_01_06_425544 13 38 host host NN 10_1101-2021_01_06_425544 13 39 factors factor NNS 10_1101-2021_01_06_425544 13 40 ( ( -LRB- 10_1101-2021_01_06_425544 13 41 immunity immunity NN 10_1101-2021_01_06_425544 13 42 ) ) -RRB- 10_1101-2021_01_06_425544 13 43 , , , 10_1101-2021_01_06_425544 13 44 and and CC 10_1101-2021_01_06_425544 13 45 – – : 10_1101-2021_01_06_425544 13 46 on on IN 10_1101-2021_01_06_425544 13 47 the the DT 10_1101-2021_01_06_425544 13 48 population population NN 10_1101-2021_01_06_425544 13 49 level level NN 10_1101-2021_01_06_425544 13 50 – – : 10_1101-2021_01_06_425544 13 51 on on IN 10_1101-2021_01_06_425544 13 52 countermeasures countermeasure NNS 10_1101-2021_01_06_425544 13 53 taken take VBN 10_1101-2021_01_06_425544 13 54 by by IN 10_1101-2021_01_06_425544 13 55 the the DT 10_1101-2021_01_06_425544 13 56 community community NN 10_1101-2021_01_06_425544 13 57 . . . 10_1101-2021_01_06_425544 14 1 Such such JJ 10_1101-2021_01_06_425544 14 2 measures measure NNS 10_1101-2021_01_06_425544 14 3 cover cover VBP 10_1101-2021_01_06_425544 14 4 a a DT 10_1101-2021_01_06_425544 14 5 broad broad JJ 10_1101-2021_01_06_425544 14 6 spectrum spectrum NN 10_1101-2021_01_06_425544 14 7 of of IN 10_1101-2021_01_06_425544 14 8 possible possible JJ 10_1101-2021_01_06_425544 14 9 engagements engagement NNS 10_1101-2021_01_06_425544 14 10 , , , 10_1101-2021_01_06_425544 14 11 and and CC 10_1101-2021_01_06_425544 14 12 they -PRON- PRP 10_1101-2021_01_06_425544 14 13 may may MD 10_1101-2021_01_06_425544 14 14 be be VB 10_1101-2021_01_06_425544 14 15 highly highly RB 10_1101-2021_01_06_425544 14 16 consequential consequential JJ 10_1101-2021_01_06_425544 14 17 for for IN 10_1101-2021_01_06_425544 14 18 the the DT 10_1101-2021_01_06_425544 14 19 course course NN 10_1101-2021_01_06_425544 14 20 of of IN 10_1101-2021_01_06_425544 14 21 an an DT 10_1101-2021_01_06_425544 14 22 epidemic epidemic NN 10_1101-2021_01_06_425544 14 23 or or CC 10_1101-2021_01_06_425544 14 24 a a DT 10_1101-2021_01_06_425544 14 25 pandemic pandemic NN 10_1101-2021_01_06_425544 14 26 [ [ -LRB- 10_1101-2021_01_06_425544 14 27 1 1 CD 10_1101-2021_01_06_425544 14 28 ] ] -RRB- 10_1101-2021_01_06_425544 14 29 . . . 10_1101-2021_01_06_425544 15 1 The the DT 10_1101-2021_01_06_425544 15 2 analysis analysis NN 10_1101-2021_01_06_425544 15 3 of of IN 10_1101-2021_01_06_425544 15 4 acute acute JJ 10_1101-2021_01_06_425544 15 5 infectious infectious JJ 10_1101-2021_01_06_425544 15 6 progression progression NN 10_1101-2021_01_06_425544 15 7 in in IN 10_1101-2021_01_06_425544 15 8 a a DT 10_1101-2021_01_06_425544 15 9 society society NN 10_1101-2021_01_06_425544 15 10 is be VBZ 10_1101-2021_01_06_425544 15 11 critical critical JJ 10_1101-2021_01_06_425544 15 12 for for IN 10_1101-2021_01_06_425544 15 13 gauging gauge VBG 10_1101-2021_01_06_425544 15 14 the the DT 10_1101-2021_01_06_425544 15 15 effectiveness effectiveness NN 10_1101-2021_01_06_425544 15 16 of of IN 10_1101-2021_01_06_425544 15 17 public public JJ 10_1101-2021_01_06_425544 15 18 health health NN 10_1101-2021_01_06_425544 15 19 responses response NNS 10_1101-2021_01_06_425544 15 20 , , , 10_1101-2021_01_06_425544 15 21 but but CC 10_1101-2021_01_06_425544 15 22 it -PRON- PRP 10_1101-2021_01_06_425544 15 23 is be VBZ 10_1101-2021_01_06_425544 15 24 made make VBN 10_1101-2021_01_06_425544 15 25 difficult difficult JJ 10_1101-2021_01_06_425544 15 26 through through IN 10_1101-2021_01_06_425544 15 27 the the DT 10_1101-2021_01_06_425544 15 28 non non JJ 10_1101-2021_01_06_425544 15 29 - - JJ 10_1101-2021_01_06_425544 15 30 linear linear JJ 10_1101-2021_01_06_425544 15 31 nature nature NN 10_1101-2021_01_06_425544 15 32 of of IN 10_1101-2021_01_06_425544 15 33 the the DT 10_1101-2021_01_06_425544 15 34 underlying underlying JJ 10_1101-2021_01_06_425544 15 35 process process NN 10_1101-2021_01_06_425544 15 36 . . . 10_1101-2021_01_06_425544 16 1 Conventional conventional JJ 10_1101-2021_01_06_425544 16 2 approaches approach NNS 10_1101-2021_01_06_425544 16 3 of of IN 10_1101-2021_01_06_425544 16 4 reductionist reductionist JJ 10_1101-2021_01_06_425544 16 5 research research NN 10_1101-2021_01_06_425544 16 6 or or CC 10_1101-2021_01_06_425544 16 7 common common JJ 10_1101-2021_01_06_425544 16 8 linearization linearization NN 10_1101-2021_01_06_425544 16 9 techniques technique NNS 10_1101-2021_01_06_425544 16 10 are be VBP 10_1101-2021_01_06_425544 16 11 not not RB 10_1101-2021_01_06_425544 16 12 meaningfully meaningfully RB 10_1101-2021_01_06_425544 16 13 applicable applicable JJ 10_1101-2021_01_06_425544 16 14 . . . 10_1101-2021_01_06_425544 17 1 Various various JJ 10_1101-2021_01_06_425544 17 2 strategies strategy NNS 10_1101-2021_01_06_425544 17 3 have have VBP 10_1101-2021_01_06_425544 17 4 been be VBN 10_1101-2021_01_06_425544 17 5 employed employ VBN 10_1101-2021_01_06_425544 17 6 to to TO 10_1101-2021_01_06_425544 17 7 account account VB 10_1101-2021_01_06_425544 17 8 for for IN 10_1101-2021_01_06_425544 17 9 the the DT 10_1101-2021_01_06_425544 17 10 complexity complexity NN 10_1101-2021_01_06_425544 17 11 of of IN 10_1101-2021_01_06_425544 17 12 infectious infectious JJ 10_1101-2021_01_06_425544 17 13 propagation propagation NN 10_1101-2021_01_06_425544 17 14 . . . 10_1101-2021_01_06_425544 18 1 The the DT 10_1101-2021_01_06_425544 18 2 spread spread NN 10_1101-2021_01_06_425544 18 3 of of IN 10_1101-2021_01_06_425544 18 4 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 18 5 has have VBZ 10_1101-2021_01_06_425544 18 6 been be VBN 10_1101-2021_01_06_425544 18 7 modeled model VBN 10_1101-2021_01_06_425544 18 8 with with IN 10_1101-2021_01_06_425544 18 9 machine machine NN 10_1101-2021_01_06_425544 18 10 learning learn VBG 10_1101-2021_01_06_425544 18 11 [ [ -LRB- 10_1101-2021_01_06_425544 18 12 2 2 CD 10_1101-2021_01_06_425544 18 13 ] ] -RRB- 10_1101-2021_01_06_425544 18 14 , , , 10_1101-2021_01_06_425544 18 15 networks network NNS 10_1101-2021_01_06_425544 18 16 of of IN 10_1101-2021_01_06_425544 18 17 compartments compartment NNS 10_1101-2021_01_06_425544 18 18 [ [ -LRB- 10_1101-2021_01_06_425544 18 19 3 3 CD 10_1101-2021_01_06_425544 18 20 ] ] -RRB- 10_1101-2021_01_06_425544 18 21 and and CC 10_1101-2021_01_06_425544 18 22 cellular cellular JJ 10_1101-2021_01_06_425544 18 23 automata automata NN 10_1101-2021_01_06_425544 18 24 [ [ -LRB- 10_1101-2021_01_06_425544 18 25 4 4 CD 10_1101-2021_01_06_425544 18 26 ] ] -RRB- 10_1101-2021_01_06_425544 18 27 . . . 10_1101-2021_01_06_425544 19 1 Power power NN 10_1101-2021_01_06_425544 19 2 laws law NNS 10_1101-2021_01_06_425544 19 3 have have VBP 10_1101-2021_01_06_425544 19 4 been be VBN 10_1101-2021_01_06_425544 19 5 inferred infer VBN 10_1101-2021_01_06_425544 19 6 [ [ -LRB- 10_1101-2021_01_06_425544 19 7 5 5 CD 10_1101-2021_01_06_425544 19 8 ] ] -RRB- 10_1101-2021_01_06_425544 19 9 . . . 10_1101-2021_01_06_425544 20 1 Such such JJ 10_1101-2021_01_06_425544 20 2 investigations investigation NNS 10_1101-2021_01_06_425544 20 3 are be VBP 10_1101-2021_01_06_425544 20 4 of of IN 10_1101-2021_01_06_425544 20 5 value value NN 10_1101-2021_01_06_425544 20 6 , , , 10_1101-2021_01_06_425544 20 7 even even RB 10_1101-2021_01_06_425544 20 8 though though IN 10_1101-2021_01_06_425544 20 9 they -PRON- PRP 10_1101-2021_01_06_425544 20 10 are be VBP 10_1101-2021_01_06_425544 20 11 inevitably inevitably RB 10_1101-2021_01_06_425544 20 12 based base VBN 10_1101-2021_01_06_425544 20 13 on on IN 10_1101-2021_01_06_425544 20 14 idealizing idealize VBG 10_1101-2021_01_06_425544 20 15 assumptions assumption NNS 10_1101-2021_01_06_425544 20 16 . . . 10_1101-2021_01_06_425544 21 1 In in IN 10_1101-2021_01_06_425544 21 2 addition addition NN 10_1101-2021_01_06_425544 21 3 to to IN 10_1101-2021_01_06_425544 21 4 modeling model VBG 10_1101-2021_01_06_425544 21 5 approaches approach NNS 10_1101-2021_01_06_425544 21 6 , , , 10_1101-2021_01_06_425544 21 7 the the DT 10_1101-2021_01_06_425544 21 8 analysis analysis NN 10_1101-2021_01_06_425544 21 9 of of IN 10_1101-2021_01_06_425544 21 10 actually actually RB 10_1101-2021_01_06_425544 21 11 observed observe VBN 10_1101-2021_01_06_425544 21 12 data datum NNS 10_1101-2021_01_06_425544 21 13 is be VBZ 10_1101-2021_01_06_425544 21 14 of of IN 10_1101-2021_01_06_425544 21 15 critical critical JJ 10_1101-2021_01_06_425544 21 16 importance importance NN 10_1101-2021_01_06_425544 21 17 . . . 10_1101-2021_01_06_425544 22 1 The the DT 10_1101-2021_01_06_425544 22 2 numbers number NNS 10_1101-2021_01_06_425544 22 3 in in IN 10_1101-2021_01_06_425544 22 4 such such JJ 10_1101-2021_01_06_425544 22 5 data data NN 10_1101-2021_01_06_425544 22 6 sets set NNS 10_1101-2021_01_06_425544 22 7 are be VBP 10_1101-2021_01_06_425544 22 8 noisy noisy JJ 10_1101-2021_01_06_425544 22 9 , , , 10_1101-2021_01_06_425544 22 10 and and CC 10_1101-2021_01_06_425544 22 11 they -PRON- PRP 10_1101-2021_01_06_425544 22 12 are be VBP 10_1101-2021_01_06_425544 22 13 eminently eminently RB 10_1101-2021_01_06_425544 22 14 non non JJ 10_1101-2021_01_06_425544 22 15 - - JJ 10_1101-2021_01_06_425544 22 16 linear linear JJ 10_1101-2021_01_06_425544 22 17 ( ( -LRB- 10_1101-2021_01_06_425544 22 18 also also RB 10_1101-2021_01_06_425544 22 19 described describe VBN 10_1101-2021_01_06_425544 22 20 as as IN 10_1101-2021_01_06_425544 22 21 “ " `` 10_1101-2021_01_06_425544 22 22 complex complex JJ 10_1101-2021_01_06_425544 22 23 data datum NNS 10_1101-2021_01_06_425544 22 24 ” " '' 10_1101-2021_01_06_425544 22 25 or or CC 10_1101-2021_01_06_425544 22 26 “ " `` 10_1101-2021_01_06_425544 22 27 observed observe VBN 10_1101-2021_01_06_425544 22 28 chaotic chaotic JJ 10_1101-2021_01_06_425544 22 29 data datum NNS 10_1101-2021_01_06_425544 22 30 ” " '' 10_1101-2021_01_06_425544 22 31 [ [ -LRB- 10_1101-2021_01_06_425544 22 32 6 6 CD 10_1101-2021_01_06_425544 22 33 ] ] -RRB- 10_1101-2021_01_06_425544 22 34 ) ) -RRB- 10_1101-2021_01_06_425544 22 35 . . . 10_1101-2021_01_06_425544 23 1 Complex complex JJ 10_1101-2021_01_06_425544 23 2 systems system NNS 10_1101-2021_01_06_425544 23 3 research research NN 10_1101-2021_01_06_425544 23 4 has have VBZ 10_1101-2021_01_06_425544 23 5 made make VBN 10_1101-2021_01_06_425544 23 6 techniques technique NNS 10_1101-2021_01_06_425544 23 7 and and CC 10_1101-2021_01_06_425544 23 8 algorithms algorithm NNS 10_1101-2021_01_06_425544 23 9 available available JJ 10_1101-2021_01_06_425544 23 10 to to TO 10_1101-2021_01_06_425544 23 11 extract extract VB 10_1101-2021_01_06_425544 23 12 information information NN 10_1101-2021_01_06_425544 23 13 from from IN 10_1101-2021_01_06_425544 23 14 observed observe VBN 10_1101-2021_01_06_425544 23 15 non non JJ 10_1101-2021_01_06_425544 23 16 - - JJ 10_1101-2021_01_06_425544 23 17 linear linear JJ 10_1101-2021_01_06_425544 23 18 data datum NNS 10_1101-2021_01_06_425544 23 19 series series NN 10_1101-2021_01_06_425544 23 20 . . . 10_1101-2021_01_06_425544 24 1 The the DT 10_1101-2021_01_06_425544 24 2 manifestations manifestation NNS 10_1101-2021_01_06_425544 24 3 of of IN 10_1101-2021_01_06_425544 24 4 the the DT 10_1101-2021_01_06_425544 24 5 COVID-19 covid-19 JJ 10_1101-2021_01_06_425544 24 6 pandemic pandemic NN 10_1101-2021_01_06_425544 24 7 have have VBP 10_1101-2021_01_06_425544 24 8 varied vary VBN 10_1101-2021_01_06_425544 24 9 widely widely RB 10_1101-2021_01_06_425544 24 10 among among IN 10_1101-2021_01_06_425544 24 11 geographic geographic JJ 10_1101-2021_01_06_425544 24 12 areas area NNS 10_1101-2021_01_06_425544 24 13 , , , 10_1101-2021_01_06_425544 24 14 when when WRB 10_1101-2021_01_06_425544 24 15 compared compare VBN 10_1101-2021_01_06_425544 24 16 across across IN 10_1101-2021_01_06_425544 24 17 countries country NNS 10_1101-2021_01_06_425544 24 18 [ [ -LRB- 10_1101-2021_01_06_425544 24 19 3,7,8 3,7,8 CD 10_1101-2021_01_06_425544 24 20 ] ] -RRB- 10_1101-2021_01_06_425544 24 21 as as RB 10_1101-2021_01_06_425544 24 22 well well RB 10_1101-2021_01_06_425544 24 23 as as IN 10_1101-2021_01_06_425544 24 24 across across IN 10_1101-2021_01_06_425544 24 25 US US NNP 10_1101-2021_01_06_425544 24 26 states state NNS 10_1101-2021_01_06_425544 24 27 [ [ -LRB- 10_1101-2021_01_06_425544 24 28 9 9 CD 10_1101-2021_01_06_425544 24 29 ] ] -RRB- 10_1101-2021_01_06_425544 24 30 , , , 10_1101-2021_01_06_425544 24 31 depending depend VBG 10_1101-2021_01_06_425544 24 32 on on IN 10_1101-2021_01_06_425544 24 33 when when WRB 10_1101-2021_01_06_425544 24 34 the the DT 10_1101-2021_01_06_425544 24 35 virus virus NN 10_1101-2021_01_06_425544 24 36 reached reach VBD 10_1101-2021_01_06_425544 24 37 them -PRON- PRP 10_1101-2021_01_06_425544 24 38 , , , 10_1101-2021_01_06_425544 24 39 what what WP 10_1101-2021_01_06_425544 24 40 the the DT 10_1101-2021_01_06_425544 24 41 population population NN 10_1101-2021_01_06_425544 24 42 characteristics characteristic NNS 10_1101-2021_01_06_425544 24 43 were be VBD 10_1101-2021_01_06_425544 24 44 at at IN 10_1101-2021_01_06_425544 24 45 the the DT 10_1101-2021_01_06_425544 24 46 time time NN 10_1101-2021_01_06_425544 24 47 of of IN 10_1101-2021_01_06_425544 24 48 onset onset NN 10_1101-2021_01_06_425544 24 49 , , , 10_1101-2021_01_06_425544 24 50 and and CC 10_1101-2021_01_06_425544 24 51 what what WP 10_1101-2021_01_06_425544 24 52 actions action NNS 10_1101-2021_01_06_425544 24 53 were be VBD 10_1101-2021_01_06_425544 24 54 taken take VBN 10_1101-2021_01_06_425544 24 55 in in IN 10_1101-2021_01_06_425544 24 56 response response NN 10_1101-2021_01_06_425544 24 57 to to IN 10_1101-2021_01_06_425544 24 58 the the DT 10_1101-2021_01_06_425544 24 59 infectious infectious JJ 10_1101-2021_01_06_425544 24 60 spread spread NN 10_1101-2021_01_06_425544 24 61 . . . 10_1101-2021_01_06_425544 25 1 Here here RB 10_1101-2021_01_06_425544 25 2 , , , 10_1101-2021_01_06_425544 25 3 we -PRON- PRP 10_1101-2021_01_06_425544 25 4 set set VBD 10_1101-2021_01_06_425544 25 5 out out RP 10_1101-2021_01_06_425544 25 6 to to TO 10_1101-2021_01_06_425544 25 7 investigate investigate VB 10_1101-2021_01_06_425544 25 8 underlying underlying JJ 10_1101-2021_01_06_425544 25 9 patterns pattern NNS 10_1101-2021_01_06_425544 25 10 . . . 10_1101-2021_01_06_425544 26 1 We -PRON- PRP 10_1101-2021_01_06_425544 26 2 apply apply VBP 10_1101-2021_01_06_425544 26 3 basic basic JJ 10_1101-2021_01_06_425544 26 4 tools tool NNS 10_1101-2021_01_06_425544 26 5 of of IN 10_1101-2021_01_06_425544 26 6 complex complex JJ 10_1101-2021_01_06_425544 26 7 systems system NNS 10_1101-2021_01_06_425544 26 8 research research NN 10_1101-2021_01_06_425544 26 9 to to TO 10_1101-2021_01_06_425544 26 10 compare compare VB 10_1101-2021_01_06_425544 26 11 the the DT 10_1101-2021_01_06_425544 26 12 spread spread NN 10_1101-2021_01_06_425544 26 13 of of IN 10_1101-2021_01_06_425544 26 14 COVID-19 COVID-19 NNP 10_1101-2021_01_06_425544 26 15 in in IN 10_1101-2021_01_06_425544 26 16 distinct distinct JJ 10_1101-2021_01_06_425544 26 17 countries country NNS 10_1101-2021_01_06_425544 26 18 , , , 10_1101-2021_01_06_425544 26 19 characterized characterize VBN 10_1101-2021_01_06_425544 26 20 by by IN 10_1101-2021_01_06_425544 26 21 their -PRON- PRP$ 10_1101-2021_01_06_425544 26 22 varying varying NN 10_1101-2021_01_06_425544 26 23 approaches approach NNS 10_1101-2021_01_06_425544 26 24 to to IN 10_1101-2021_01_06_425544 26 25 the the DT 10_1101-2021_01_06_425544 26 26 pandemic pandemic NN 10_1101-2021_01_06_425544 26 27 , , , 10_1101-2021_01_06_425544 26 28 from from IN 10_1101-2021_01_06_425544 26 29 its -PRON- PRP$ 10_1101-2021_01_06_425544 26 30 beginning beginning NN 10_1101-2021_01_06_425544 26 31 stages stage NNS 10_1101-2021_01_06_425544 26 32 through through IN 10_1101-2021_01_06_425544 26 33 early early JJ 10_1101-2021_01_06_425544 26 34 or or CC 10_1101-2021_01_06_425544 26 35 late late JJ 10_1101-2021_01_06_425544 26 36 October October NNP 10_1101-2021_01_06_425544 26 37 2020 2020 CD 10_1101-2021_01_06_425544 26 38 . . . 10_1101-2021_01_06_425544 27 1 Further further RB 10_1101-2021_01_06_425544 27 2 , , , 10_1101-2021_01_06_425544 27 3 we -PRON- PRP 10_1101-2021_01_06_425544 27 4 compare compare VBP 10_1101-2021_01_06_425544 27 5 various various JJ 10_1101-2021_01_06_425544 27 6 regions region NNS 10_1101-2021_01_06_425544 27 7 within within IN 10_1101-2021_01_06_425544 27 8 the the DT 10_1101-2021_01_06_425544 27 9 USA USA NNP 10_1101-2021_01_06_425544 27 10 , , , 10_1101-2021_01_06_425544 27 11 which which WDT 10_1101-2021_01_06_425544 27 12 has have VBZ 10_1101-2021_01_06_425544 27 13 left leave VBN 10_1101-2021_01_06_425544 27 14 major major JJ 10_1101-2021_01_06_425544 27 15 decisions decision NNS 10_1101-2021_01_06_425544 27 16 to to IN 10_1101-2021_01_06_425544 27 17 the the DT 10_1101-2021_01_06_425544 27 18 individual individual JJ 10_1101-2021_01_06_425544 27 19 states state NNS 10_1101-2021_01_06_425544 27 20 . . . 10_1101-2021_01_06_425544 28 1 Patterns pattern NNS 10_1101-2021_01_06_425544 28 2 are be VBP 10_1101-2021_01_06_425544 28 3 discernible discernible JJ 10_1101-2021_01_06_425544 28 4 in in IN 10_1101-2021_01_06_425544 28 5 Fourier Fourier NNP 10_1101-2021_01_06_425544 28 6 and and CC 10_1101-2021_01_06_425544 28 7 wavelet wavelet VB 10_1101-2021_01_06_425544 28 8 analyses analysis NNS 10_1101-2021_01_06_425544 28 9 . . . 10_1101-2021_01_06_425544 29 1 Order order NN 10_1101-2021_01_06_425544 29 2 can can MD 10_1101-2021_01_06_425544 29 3 be be VB 10_1101-2021_01_06_425544 29 4 detected detect VBN 10_1101-2021_01_06_425544 29 5 in in IN 10_1101-2021_01_06_425544 29 6 time time NN 10_1101-2021_01_06_425544 29 7 - - HYPH 10_1101-2021_01_06_425544 29 8 lagged lag VBN 10_1101-2021_01_06_425544 29 9 plots plot NNS 10_1101-2021_01_06_425544 29 10 . . . 10_1101-2021_01_06_425544 30 1 Therefrom Therefrom NNP 10_1101-2021_01_06_425544 30 2 , , , 10_1101-2021_01_06_425544 30 3 quantitative quantitative JJ 10_1101-2021_01_06_425544 30 4 measurements measurement NNS 10_1101-2021_01_06_425544 30 5 are be VBP 10_1101-2021_01_06_425544 30 6 obtainable obtainable JJ 10_1101-2021_01_06_425544 30 7 , , , 10_1101-2021_01_06_425544 30 8 including include VBG 10_1101-2021_01_06_425544 30 9 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 30 10 , , , 10_1101-2021_01_06_425544 30 11 average average JJ 10_1101-2021_01_06_425544 30 12 mutual mutual JJ 10_1101-2021_01_06_425544 30 13 information information NN 10_1101-2021_01_06_425544 30 14 , , , 10_1101-2021_01_06_425544 30 15 fractal fractal JJ 10_1101-2021_01_06_425544 30 16 dimension dimension NN 10_1101-2021_01_06_425544 30 17 , , , 10_1101-2021_01_06_425544 30 18 and and CC 10_1101-2021_01_06_425544 30 19 embedding embed VBG 10_1101-2021_01_06_425544 30 20 dimension dimension NN 10_1101-2021_01_06_425544 30 21 , , , 10_1101-2021_01_06_425544 30 22 which which WDT 10_1101-2021_01_06_425544 30 23 inform inform VBP 10_1101-2021_01_06_425544 30 24 on on IN 10_1101-2021_01_06_425544 30 25 the the DT 10_1101-2021_01_06_425544 30 26 pandemic pandemic JJ 10_1101-2021_01_06_425544 30 27 progression progression NN 10_1101-2021_01_06_425544 30 28 . . . 10_1101-2021_01_06_425544 31 1 .CC .CC NFP 10_1101-2021_01_06_425544 31 2 - - : 10_1101-2021_01_06_425544 31 3 BY by IN 10_1101-2021_01_06_425544 31 4 4.0 4.0 CD 10_1101-2021_01_06_425544 31 5 International International NNP 10_1101-2021_01_06_425544 31 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 31 7 under under IN 10_1101-2021_01_06_425544 31 8 a a DT 10_1101-2021_01_06_425544 31 9 ( ( -LRB- 10_1101-2021_01_06_425544 31 10 which which WDT 10_1101-2021_01_06_425544 31 11 was be VBD 10_1101-2021_01_06_425544 31 12 not not RB 10_1101-2021_01_06_425544 31 13 certified certify VBN 10_1101-2021_01_06_425544 31 14 by by IN 10_1101-2021_01_06_425544 31 15 peer peer NN 10_1101-2021_01_06_425544 31 16 review review NN 10_1101-2021_01_06_425544 31 17 ) ) -RRB- 10_1101-2021_01_06_425544 31 18 is be VBZ 10_1101-2021_01_06_425544 31 19 the the DT 10_1101-2021_01_06_425544 31 20 author author NN 10_1101-2021_01_06_425544 31 21 / / SYM 10_1101-2021_01_06_425544 31 22 funder funder NN 10_1101-2021_01_06_425544 31 23 , , , 10_1101-2021_01_06_425544 31 24 who who WP 10_1101-2021_01_06_425544 31 25 has have VBZ 10_1101-2021_01_06_425544 31 26 granted grant VBN 10_1101-2021_01_06_425544 31 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 31 28 a a DT 10_1101-2021_01_06_425544 31 29 license license NN 10_1101-2021_01_06_425544 31 30 to to TO 10_1101-2021_01_06_425544 31 31 display display VB 10_1101-2021_01_06_425544 31 32 the the DT 10_1101-2021_01_06_425544 31 33 preprint preprint NN 10_1101-2021_01_06_425544 31 34 in in IN 10_1101-2021_01_06_425544 31 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 31 36 . . . 10_1101-2021_01_06_425544 32 1 It -PRON- PRP 10_1101-2021_01_06_425544 32 2 is be VBZ 10_1101-2021_01_06_425544 32 3 made make VBN 10_1101-2021_01_06_425544 32 4 The the DT 10_1101-2021_01_06_425544 32 5 copyright copyright NN 10_1101-2021_01_06_425544 32 6 holder holder NN 10_1101-2021_01_06_425544 32 7 for for IN 10_1101-2021_01_06_425544 32 8 this this DT 10_1101-2021_01_06_425544 32 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 32 10 version version NN 10_1101-2021_01_06_425544 32 11 posted post VBD 10_1101-2021_01_06_425544 32 12 January January NNP 10_1101-2021_01_06_425544 32 13 6 6 CD 10_1101-2021_01_06_425544 32 14 , , , 10_1101-2021_01_06_425544 32 15 2021 2021 CD 10_1101-2021_01_06_425544 32 16 . . . 10_1101-2021_01_06_425544 32 17 ; ; : 10_1101-2021_01_06_425544 32 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 32 19 : : : 10_1101-2021_01_06_425544 32 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 32 21 preprint preprint NN 10_1101-2021_01_06_425544 32 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 32 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 32 24 Methods Methods NNP 10_1101-2021_01_06_425544 32 25 Source Source NNP 10_1101-2021_01_06_425544 32 26 data datum NNS 10_1101-2021_01_06_425544 32 27 : : : 10_1101-2021_01_06_425544 32 28 Here here RB 10_1101-2021_01_06_425544 32 29 we -PRON- PRP 10_1101-2021_01_06_425544 32 30 analyze analyze VBP 10_1101-2021_01_06_425544 32 31 the the DT 10_1101-2021_01_06_425544 32 32 new new JJ 10_1101-2021_01_06_425544 32 33 infections infection NNS 10_1101-2021_01_06_425544 32 34 per per IN 10_1101-2021_01_06_425544 32 35 day day NN 10_1101-2021_01_06_425544 32 36 , , , 10_1101-2021_01_06_425544 32 37 either either CC 10_1101-2021_01_06_425544 32 38 as as IN 10_1101-2021_01_06_425544 32 39 absolute absolute JJ 10_1101-2021_01_06_425544 32 40 numbers number NNS 10_1101-2021_01_06_425544 32 41 or or CC 10_1101-2021_01_06_425544 32 42 as as IN 10_1101-2021_01_06_425544 32 43 rates rate NNS 10_1101-2021_01_06_425544 32 44 per per IN 10_1101-2021_01_06_425544 32 45 10,000 10,000 CD 10_1101-2021_01_06_425544 32 46 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 32 47 . . . 10_1101-2021_01_06_425544 33 1 The the DT 10_1101-2021_01_06_425544 33 2 source source NN 10_1101-2021_01_06_425544 33 3 data datum NNS 10_1101-2021_01_06_425544 33 4 utilized utilize VBN 10_1101-2021_01_06_425544 33 5 for for IN 10_1101-2021_01_06_425544 33 6 the the DT 10_1101-2021_01_06_425544 33 7 present present JJ 10_1101-2021_01_06_425544 33 8 analysis analysis NN 10_1101-2021_01_06_425544 33 9 came come VBD 10_1101-2021_01_06_425544 33 10 from from IN 10_1101-2021_01_06_425544 33 11 Bing Bing NNP 10_1101-2021_01_06_425544 33 12 COVID- COVID- NNP 10_1101-2021_01_06_425544 33 13 19 19 CD 10_1101-2021_01_06_425544 33 14 Tracker Tracker NNP 10_1101-2021_01_06_425544 33 15 ( ( -LRB- 10_1101-2021_01_06_425544 33 16 www.bing.com/covid www.bing.com/covid NNP 10_1101-2021_01_06_425544 33 17 ) ) -RRB- 10_1101-2021_01_06_425544 33 18 . . . 10_1101-2021_01_06_425544 34 1 Fourier fouri JJR 10_1101-2021_01_06_425544 34 2 spectrum spectrum NN 10_1101-2021_01_06_425544 34 3 and and CC 10_1101-2021_01_06_425544 34 4 univariate univariate JJ 10_1101-2021_01_06_425544 34 5 wavelet wavelet NN 10_1101-2021_01_06_425544 34 6 analysis analysis NN 10_1101-2021_01_06_425544 34 7 : : : 10_1101-2021_01_06_425544 34 8 Fourier fouri JJR 10_1101-2021_01_06_425544 34 9 analysis analysis NN 10_1101-2021_01_06_425544 34 10 evaluates evaluate VBZ 10_1101-2021_01_06_425544 34 11 the the DT 10_1101-2021_01_06_425544 34 12 spectral spectral JJ 10_1101-2021_01_06_425544 34 13 density density NN 10_1101-2021_01_06_425544 34 14 by by IN 10_1101-2021_01_06_425544 34 15 relative relative JJ 10_1101-2021_01_06_425544 34 16 numbers number NNS 10_1101-2021_01_06_425544 34 17 of of IN 10_1101-2021_01_06_425544 34 18 new new JJ 10_1101-2021_01_06_425544 34 19 infections infection NNS 10_1101-2021_01_06_425544 34 20 ( ( -LRB- 10_1101-2021_01_06_425544 34 21 case case NN 10_1101-2021_01_06_425544 34 22 rates rate NNS 10_1101-2021_01_06_425544 34 23 per per IN 10_1101-2021_01_06_425544 34 24 10,000 10,000 CD 10_1101-2021_01_06_425544 34 25 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 34 26 ) ) -RRB- 10_1101-2021_01_06_425544 34 27 versus versus IN 10_1101-2021_01_06_425544 34 28 frequency frequency NN 10_1101-2021_01_06_425544 34 29 or or CC 10_1101-2021_01_06_425544 34 30 versus versus IN 10_1101-2021_01_06_425544 34 31 period period NN 10_1101-2021_01_06_425544 34 32 . . . 10_1101-2021_01_06_425544 35 1 Wavelet wavelet JJ 10_1101-2021_01_06_425544 35 2 analysis analysis NN 10_1101-2021_01_06_425544 35 3 does do VBZ 10_1101-2021_01_06_425544 35 4 not not RB 10_1101-2021_01_06_425544 35 5 assume assume VB 10_1101-2021_01_06_425544 35 6 stationarity stationarity NN 10_1101-2021_01_06_425544 35 7 in in IN 10_1101-2021_01_06_425544 35 8 the the DT 10_1101-2021_01_06_425544 35 9 time time NN 10_1101-2021_01_06_425544 35 10 - - HYPH 10_1101-2021_01_06_425544 35 11 series series NN 10_1101-2021_01_06_425544 35 12 . . . 10_1101-2021_01_06_425544 36 1 Thus thus RB 10_1101-2021_01_06_425544 36 2 , , , 10_1101-2021_01_06_425544 36 3 it -PRON- PRP 10_1101-2021_01_06_425544 36 4 allows allow VBZ 10_1101-2021_01_06_425544 36 5 the the DT 10_1101-2021_01_06_425544 36 6 study study NN 10_1101-2021_01_06_425544 36 7 of of IN 10_1101-2021_01_06_425544 36 8 localized localized JJ 10_1101-2021_01_06_425544 36 9 periodic periodic JJ 10_1101-2021_01_06_425544 36 10 behavior behavior NN 10_1101-2021_01_06_425544 36 11 . . . 10_1101-2021_01_06_425544 37 1 In in IN 10_1101-2021_01_06_425544 37 2 particular particular JJ 10_1101-2021_01_06_425544 37 3 , , , 10_1101-2021_01_06_425544 37 4 we -PRON- PRP 10_1101-2021_01_06_425544 37 5 look look VBP 10_1101-2021_01_06_425544 37 6 for for IN 10_1101-2021_01_06_425544 37 7 regions region NNS 10_1101-2021_01_06_425544 37 8 of of IN 10_1101-2021_01_06_425544 37 9 high high JJ 10_1101-2021_01_06_425544 37 10 - - HYPH 10_1101-2021_01_06_425544 37 11 power power NN 10_1101-2021_01_06_425544 37 12 in in IN 10_1101-2021_01_06_425544 37 13 the the DT 10_1101-2021_01_06_425544 37 14 frequency frequency JJ 10_1101-2021_01_06_425544 37 15 - - HYPH 10_1101-2021_01_06_425544 37 16 time time NN 10_1101-2021_01_06_425544 37 17 plot plot NN 10_1101-2021_01_06_425544 37 18 . . . 10_1101-2021_01_06_425544 38 1 The the DT 10_1101-2021_01_06_425544 38 2 calculations calculation NNS 10_1101-2021_01_06_425544 38 3 for for IN 10_1101-2021_01_06_425544 38 4 wavelet wavelet NN 10_1101-2021_01_06_425544 38 5 analyses analysis NNS 10_1101-2021_01_06_425544 38 6 of of IN 10_1101-2021_01_06_425544 38 7 new new JJ 10_1101-2021_01_06_425544 38 8 infections infection NNS 10_1101-2021_01_06_425544 38 9 were be VBD 10_1101-2021_01_06_425544 38 10 done do VBN 10_1101-2021_01_06_425544 38 11 in in IN 10_1101-2021_01_06_425544 38 12 R. R. NNP 10_1101-2021_01_06_425544 38 13 In In NNP 10_1101-2021_01_06_425544 38 14 WaveletComp WaveletComp NNP 10_1101-2021_01_06_425544 38 15 , , , 10_1101-2021_01_06_425544 38 16 the the DT 10_1101-2021_01_06_425544 38 17 null null NN 10_1101-2021_01_06_425544 38 18 hypothesis hypothesis NN 10_1101-2021_01_06_425544 38 19 , , , 10_1101-2021_01_06_425544 38 20 that that IN 10_1101-2021_01_06_425544 38 21 there there EX 10_1101-2021_01_06_425544 38 22 is be VBZ 10_1101-2021_01_06_425544 38 23 no no DT 10_1101-2021_01_06_425544 38 24 periodicity periodicity NN 10_1101-2021_01_06_425544 38 25 in in IN 10_1101-2021_01_06_425544 38 26 the the DT 10_1101-2021_01_06_425544 38 27 series series NN 10_1101-2021_01_06_425544 38 28 , , , 10_1101-2021_01_06_425544 38 29 is be VBZ 10_1101-2021_01_06_425544 38 30 tested test VBN 10_1101-2021_01_06_425544 38 31 via via IN 10_1101-2021_01_06_425544 38 32 p p NN 10_1101-2021_01_06_425544 38 33 - - HYPH 10_1101-2021_01_06_425544 38 34 values value NNS 10_1101-2021_01_06_425544 38 35 obtained obtain VBN 10_1101-2021_01_06_425544 38 36 from from IN 10_1101-2021_01_06_425544 38 37 simulation simulation NN 10_1101-2021_01_06_425544 38 38 , , , 10_1101-2021_01_06_425544 38 39 where where WRB 10_1101-2021_01_06_425544 38 40 the the DT 10_1101-2021_01_06_425544 38 41 model model NN 10_1101-2021_01_06_425544 38 42 to to TO 10_1101-2021_01_06_425544 38 43 be be VB 10_1101-2021_01_06_425544 38 44 simulated simulate VBN 10_1101-2021_01_06_425544 38 45 can can MD 10_1101-2021_01_06_425544 38 46 be be VB 10_1101-2021_01_06_425544 38 47 chosen choose VBN 10_1101-2021_01_06_425544 38 48 from from IN 10_1101-2021_01_06_425544 38 49 a a DT 10_1101-2021_01_06_425544 38 50 range range NN 10_1101-2021_01_06_425544 38 51 of of IN 10_1101-2021_01_06_425544 38 52 options option NNS 10_1101-2021_01_06_425544 38 53 [ [ -LRB- 10_1101-2021_01_06_425544 38 54 10 10 CD 10_1101-2021_01_06_425544 38 55 ] ] -RRB- 10_1101-2021_01_06_425544 38 56 . . . 10_1101-2021_01_06_425544 39 1 The the DT 10_1101-2021_01_06_425544 39 2 algorithm algorithm NN 10_1101-2021_01_06_425544 39 3 analyzes analyze VBZ 10_1101-2021_01_06_425544 39 4 the the DT 10_1101-2021_01_06_425544 39 5 frequency frequency NN 10_1101-2021_01_06_425544 39 6 structure structure NN 10_1101-2021_01_06_425544 39 7 of of IN 10_1101-2021_01_06_425544 39 8 uni- uni- JJ 10_1101-2021_01_06_425544 39 9 or or CC 10_1101-2021_01_06_425544 39 10 bivariate bivariate JJ 10_1101-2021_01_06_425544 39 11 time time NN 10_1101-2021_01_06_425544 39 12 series series NN 10_1101-2021_01_06_425544 39 13 using use VBG 10_1101-2021_01_06_425544 39 14 the the DT 10_1101-2021_01_06_425544 39 15 Morlet Morlet NNP 10_1101-2021_01_06_425544 39 16 wavelet wavelet NN 10_1101-2021_01_06_425544 39 17 . . . 10_1101-2021_01_06_425544 40 1 The the DT 10_1101-2021_01_06_425544 40 2 time time NN 10_1101-2021_01_06_425544 40 3 series series NN 10_1101-2021_01_06_425544 40 4 to to TO 10_1101-2021_01_06_425544 40 5 be be VB 10_1101-2021_01_06_425544 40 6 analyzed analyze VBN 10_1101-2021_01_06_425544 40 7 was be VBD 10_1101-2021_01_06_425544 40 8 standardized standardize VBN 10_1101-2021_01_06_425544 40 9 , , , 10_1101-2021_01_06_425544 40 10 after after IN 10_1101-2021_01_06_425544 40 11 detrending detrende VBG 10_1101-2021_01_06_425544 40 12 , , , 10_1101-2021_01_06_425544 40 13 in in IN 10_1101-2021_01_06_425544 40 14 order order NN 10_1101-2021_01_06_425544 40 15 to to TO 10_1101-2021_01_06_425544 40 16 obtain obtain VB 10_1101-2021_01_06_425544 40 17 a a DT 10_1101-2021_01_06_425544 40 18 measure measure NN 10_1101-2021_01_06_425544 40 19 of of IN 10_1101-2021_01_06_425544 40 20 the the DT 10_1101-2021_01_06_425544 40 21 wavelet wavelet NN 10_1101-2021_01_06_425544 40 22 power power NN 10_1101-2021_01_06_425544 40 23 , , , 10_1101-2021_01_06_425544 40 24 which which WDT 10_1101-2021_01_06_425544 40 25 is be VBZ 10_1101-2021_01_06_425544 40 26 relative relative JJ 10_1101-2021_01_06_425544 40 27 to to IN 10_1101-2021_01_06_425544 40 28 unit unit NN 10_1101-2021_01_06_425544 40 29 - - HYPH 10_1101-2021_01_06_425544 40 30 variance variance NN 10_1101-2021_01_06_425544 40 31 white white NNP 10_1101-2021_01_06_425544 40 32 noise noise NN 10_1101-2021_01_06_425544 40 33 and and CC 10_1101-2021_01_06_425544 40 34 directly directly RB 10_1101-2021_01_06_425544 40 35 comparable comparable JJ 10_1101-2021_01_06_425544 40 36 to to IN 10_1101-2021_01_06_425544 40 37 results result NNS 10_1101-2021_01_06_425544 40 38 of of IN 10_1101-2021_01_06_425544 40 39 other other JJ 10_1101-2021_01_06_425544 40 40 time time NN 10_1101-2021_01_06_425544 40 41 series series NN 10_1101-2021_01_06_425544 40 42 . . . 10_1101-2021_01_06_425544 41 1 Detrending detrending NN 10_1101-2021_01_06_425544 41 2 is be VBZ 10_1101-2021_01_06_425544 41 3 accomplished accomplish VBN 10_1101-2021_01_06_425544 41 4 using use VBG 10_1101-2021_01_06_425544 41 5 polynomial polynomial JJ 10_1101-2021_01_06_425544 41 6 regression regression NN 10_1101-2021_01_06_425544 41 7 . . . 10_1101-2021_01_06_425544 42 1 Where where WRB 10_1101-2021_01_06_425544 42 2 indicated indicate VBN 10_1101-2021_01_06_425544 42 3 , , , 10_1101-2021_01_06_425544 42 4 all all DT 10_1101-2021_01_06_425544 42 5 graphs graphs NNPS 10_1101-2021_01_06_425544 42 6 are be VBP 10_1101-2021_01_06_425544 42 7 normalized normalized JJ 10_1101-2021_01_06_425544 42 8 to to IN 10_1101-2021_01_06_425544 42 9 the the DT 10_1101-2021_01_06_425544 42 10 same same JJ 10_1101-2021_01_06_425544 42 11 y y NN 10_1101-2021_01_06_425544 42 12 - - HYPH 10_1101-2021_01_06_425544 42 13 axis axis NN 10_1101-2021_01_06_425544 42 14 scale scale NN 10_1101-2021_01_06_425544 42 15 . . . 10_1101-2021_01_06_425544 43 1 Bivariate bivariate JJ 10_1101-2021_01_06_425544 43 2 wavelet wavelet NN 10_1101-2021_01_06_425544 43 3 analysis analysis NN 10_1101-2021_01_06_425544 43 4 : : : 10_1101-2021_01_06_425544 43 5 We -PRON- PRP 10_1101-2021_01_06_425544 43 6 conducted conduct VBD 10_1101-2021_01_06_425544 43 7 bivariate bivariate JJ 10_1101-2021_01_06_425544 43 8 analysis analysis NN 10_1101-2021_01_06_425544 43 9 of of IN 10_1101-2021_01_06_425544 43 10 lagged lag VBN 10_1101-2021_01_06_425544 43 11 data datum NNS 10_1101-2021_01_06_425544 43 12 ( ( -LRB- 10_1101-2021_01_06_425544 43 13 t t NN 10_1101-2021_01_06_425544 43 14 versus versus IN 10_1101-2021_01_06_425544 43 15 t+7 t+7 NN 10_1101-2021_01_06_425544 43 16 or or CC 10_1101-2021_01_06_425544 43 17 t+14 t+14 CD 10_1101-2021_01_06_425544 43 18 or or CC 10_1101-2021_01_06_425544 43 19 t+21 t+21 VBN 10_1101-2021_01_06_425544 43 20 ) ) -RRB- 10_1101-2021_01_06_425544 43 21 for for IN 10_1101-2021_01_06_425544 43 22 joint joint JJ 10_1101-2021_01_06_425544 43 23 periodicity periodicity NN 10_1101-2021_01_06_425544 43 24 . . . 10_1101-2021_01_06_425544 44 1 The the DT 10_1101-2021_01_06_425544 44 2 concepts concept NNS 10_1101-2021_01_06_425544 44 3 of of IN 10_1101-2021_01_06_425544 44 4 cross cross JJ 10_1101-2021_01_06_425544 44 5 - - JJ 10_1101-2021_01_06_425544 44 6 wavelet wavelet JJ 10_1101-2021_01_06_425544 44 7 analysis analysis NN 10_1101-2021_01_06_425544 44 8 provide provide VBP 10_1101-2021_01_06_425544 44 9 tools tool NNS 10_1101-2021_01_06_425544 44 10 for for IN 10_1101-2021_01_06_425544 44 11 comparing compare VBG 10_1101-2021_01_06_425544 44 12 the the DT 10_1101-2021_01_06_425544 44 13 frequency frequency NN 10_1101-2021_01_06_425544 44 14 contents content NNS 10_1101-2021_01_06_425544 44 15 by by IN 10_1101-2021_01_06_425544 44 16 two two CD 10_1101-2021_01_06_425544 44 17 time time NN 10_1101-2021_01_06_425544 44 18 series series NN 10_1101-2021_01_06_425544 44 19 as as RB 10_1101-2021_01_06_425544 44 20 well well RB 10_1101-2021_01_06_425544 44 21 as as IN 10_1101-2021_01_06_425544 44 22 for for IN 10_1101-2021_01_06_425544 44 23 drawing draw VBG 10_1101-2021_01_06_425544 44 24 conclusions conclusion NNS 10_1101-2021_01_06_425544 44 25 about about IN 10_1101-2021_01_06_425544 44 26 their -PRON- PRP$ 10_1101-2021_01_06_425544 44 27 synchronicity synchronicity NN 10_1101-2021_01_06_425544 44 28 at at IN 10_1101-2021_01_06_425544 44 29 certain certain JJ 10_1101-2021_01_06_425544 44 30 periods period NNS 10_1101-2021_01_06_425544 44 31 and and CC 10_1101-2021_01_06_425544 44 32 across across IN 10_1101-2021_01_06_425544 44 33 certain certain JJ 10_1101-2021_01_06_425544 44 34 ranges range NNS 10_1101-2021_01_06_425544 44 35 of of IN 10_1101-2021_01_06_425544 44 36 time time NN 10_1101-2021_01_06_425544 44 37 . . . 10_1101-2021_01_06_425544 45 1 While while IN 10_1101-2021_01_06_425544 45 2 cross cross JJ 10_1101-2021_01_06_425544 45 3 - - JJ 10_1101-2021_01_06_425544 45 4 wavelet wavelet JJ 10_1101-2021_01_06_425544 45 5 power power NN 10_1101-2021_01_06_425544 45 6 corresponds correspond NNS 10_1101-2021_01_06_425544 45 7 to to TO 10_1101-2021_01_06_425544 45 8 covariance covariance VB 10_1101-2021_01_06_425544 45 9 in in IN 10_1101-2021_01_06_425544 45 10 the the DT 10_1101-2021_01_06_425544 45 11 time time NN 10_1101-2021_01_06_425544 45 12 domain domain NN 10_1101-2021_01_06_425544 45 13 , , , 10_1101-2021_01_06_425544 45 14 wavelet wavelet NN 10_1101-2021_01_06_425544 45 15 coherence coherence NN 10_1101-2021_01_06_425544 45 16 is be VBZ 10_1101-2021_01_06_425544 45 17 a a DT 10_1101-2021_01_06_425544 45 18 time time NN 10_1101-2021_01_06_425544 45 19 - - HYPH 10_1101-2021_01_06_425544 45 20 series series NN 10_1101-2021_01_06_425544 45 21 measure measure NN 10_1101-2021_01_06_425544 45 22 similar similar JJ 10_1101-2021_01_06_425544 45 23 to to IN 10_1101-2021_01_06_425544 45 24 correlation correlation NN 10_1101-2021_01_06_425544 45 25 . . . 10_1101-2021_01_06_425544 46 1 Two two CD 10_1101-2021_01_06_425544 46 2 waves wave NNS 10_1101-2021_01_06_425544 46 3 are be VBP 10_1101-2021_01_06_425544 46 4 coherent coherent JJ 10_1101-2021_01_06_425544 46 5 if if IN 10_1101-2021_01_06_425544 46 6 they -PRON- PRP 10_1101-2021_01_06_425544 46 7 have have VBP 10_1101-2021_01_06_425544 46 8 a a DT 10_1101-2021_01_06_425544 46 9 constant constant JJ 10_1101-2021_01_06_425544 46 10 relative relative JJ 10_1101-2021_01_06_425544 46 11 phase phase NN 10_1101-2021_01_06_425544 46 12 . . . 10_1101-2021_01_06_425544 47 1 The the DT 10_1101-2021_01_06_425544 47 2 bivariate bivariate JJ 10_1101-2021_01_06_425544 47 3 analysis analysis NN 10_1101-2021_01_06_425544 47 4 results result NNS 10_1101-2021_01_06_425544 47 5 include include VBP 10_1101-2021_01_06_425544 47 6 the the DT 10_1101-2021_01_06_425544 47 7 cross cross JJ 10_1101-2021_01_06_425544 47 8 - - JJ 10_1101-2021_01_06_425544 47 9 wavelet wavelet JJ 10_1101-2021_01_06_425544 47 10 power power NN 10_1101-2021_01_06_425544 47 11 plot plot NN 10_1101-2021_01_06_425544 47 12 , , , 10_1101-2021_01_06_425544 47 13 the the DT 10_1101-2021_01_06_425544 47 14 wavelet wavelet NN 10_1101-2021_01_06_425544 47 15 coherence coherence NN 10_1101-2021_01_06_425544 47 16 plot plot NN 10_1101-2021_01_06_425544 47 17 , , , 10_1101-2021_01_06_425544 47 18 the the DT 10_1101-2021_01_06_425544 47 19 average average JJ 10_1101-2021_01_06_425544 47 20 power power NN 10_1101-2021_01_06_425544 47 21 plot plot NN 10_1101-2021_01_06_425544 47 22 and and CC 10_1101-2021_01_06_425544 47 23 the the DT 10_1101-2021_01_06_425544 47 24 phase phase NN 10_1101-2021_01_06_425544 47 25 difference difference NN 10_1101-2021_01_06_425544 47 26 image image NN 10_1101-2021_01_06_425544 47 27 . . . 10_1101-2021_01_06_425544 48 1 The the DT 10_1101-2021_01_06_425544 48 2 cross cross JJ 10_1101-2021_01_06_425544 48 3 - - JJ 10_1101-2021_01_06_425544 48 4 wavelet wavelet JJ 10_1101-2021_01_06_425544 48 5 power power NN 10_1101-2021_01_06_425544 48 6 and and CC 10_1101-2021_01_06_425544 48 7 coherence coherence NN 10_1101-2021_01_06_425544 48 8 plot plot NN 10_1101-2021_01_06_425544 48 9 contain contain NN 10_1101-2021_01_06_425544 48 10 arrows arrow NNS 10_1101-2021_01_06_425544 48 11 showing show VBG 10_1101-2021_01_06_425544 48 12 the the DT 10_1101-2021_01_06_425544 48 13 area area NN 10_1101-2021_01_06_425544 48 14 of of IN 10_1101-2021_01_06_425544 48 15 significant significant JJ 10_1101-2021_01_06_425544 48 16 joint joint JJ 10_1101-2021_01_06_425544 48 17 periods period NNS 10_1101-2021_01_06_425544 48 18 ( ( -LRB- 10_1101-2021_01_06_425544 48 19 significance significance NN 10_1101-2021_01_06_425544 48 20 level level NN 10_1101-2021_01_06_425544 48 21 = = SYM 10_1101-2021_01_06_425544 48 22 0.05 0.05 CD 10_1101-2021_01_06_425544 48 23 ) ) -RRB- 10_1101-2021_01_06_425544 48 24 . . . 10_1101-2021_01_06_425544 49 1 The the DT 10_1101-2021_01_06_425544 49 2 direction direction NN 10_1101-2021_01_06_425544 49 3 of of IN 10_1101-2021_01_06_425544 49 4 these these DT 10_1101-2021_01_06_425544 49 5 arrows arrow NNS 10_1101-2021_01_06_425544 49 6 indicating indicate VBG 10_1101-2021_01_06_425544 49 7 the the DT 10_1101-2021_01_06_425544 49 8 direction direction NN 10_1101-2021_01_06_425544 49 9 of of IN 10_1101-2021_01_06_425544 49 10 phase phase NN 10_1101-2021_01_06_425544 49 11 differences difference NNS 10_1101-2021_01_06_425544 49 12 . . . 10_1101-2021_01_06_425544 50 1 Up up IN 10_1101-2021_01_06_425544 50 2 - - HYPH 10_1101-2021_01_06_425544 50 3 right right JJ 10_1101-2021_01_06_425544 50 4 pointing pointing NN 10_1101-2021_01_06_425544 50 5 arrows arrow NNS 10_1101-2021_01_06_425544 50 6 indicate indicate VBP 10_1101-2021_01_06_425544 50 7 that that IN 10_1101-2021_01_06_425544 50 8 the the DT 10_1101-2021_01_06_425544 50 9 two two CD 10_1101-2021_01_06_425544 50 10 series series NN 10_1101-2021_01_06_425544 50 11 are be VBP 10_1101-2021_01_06_425544 50 12 in in IN 10_1101-2021_01_06_425544 50 13 phase phase NN 10_1101-2021_01_06_425544 50 14 and and CC 10_1101-2021_01_06_425544 50 15 x(t x(t NNP 10_1101-2021_01_06_425544 50 16 ) ) -RRB- 10_1101-2021_01_06_425544 50 17 series series NNP 10_1101-2021_01_06_425544 50 18 leads lead VBZ 10_1101-2021_01_06_425544 50 19 , , , 10_1101-2021_01_06_425544 50 20 while while IN 10_1101-2021_01_06_425544 50 21 down down RB 10_1101-2021_01_06_425544 50 22 - - HYPH 10_1101-2021_01_06_425544 50 23 right right JJ 10_1101-2021_01_06_425544 50 24 pointing pointing NN 10_1101-2021_01_06_425544 50 25 arrows arrow NNS 10_1101-2021_01_06_425544 50 26 indicate indicate VBP 10_1101-2021_01_06_425544 50 27 the the DT 10_1101-2021_01_06_425544 50 28 two two CD 10_1101-2021_01_06_425544 50 29 series serie NNS 10_1101-2021_01_06_425544 50 30 are be VBP 10_1101-2021_01_06_425544 50 31 in in IN 10_1101-2021_01_06_425544 50 32 - - HYPH 10_1101-2021_01_06_425544 50 33 phase phase NN 10_1101-2021_01_06_425544 50 34 and and CC 10_1101-2021_01_06_425544 50 35 x(t+n x(t+n NNP 10_1101-2021_01_06_425544 50 36 ) ) -RRB- 10_1101-2021_01_06_425544 50 37 series series NN 10_1101-2021_01_06_425544 50 38 leads lead VBZ 10_1101-2021_01_06_425544 50 39 . . . 10_1101-2021_01_06_425544 51 1 Similarly similarly RB 10_1101-2021_01_06_425544 51 2 , , , 10_1101-2021_01_06_425544 51 3 up up RB 10_1101-2021_01_06_425544 51 4 - - HYPH 10_1101-2021_01_06_425544 51 5 left left JJ 10_1101-2021_01_06_425544 51 6 pointing pointing NN 10_1101-2021_01_06_425544 51 7 arrows arrow NNS 10_1101-2021_01_06_425544 51 8 express express VBP 10_1101-2021_01_06_425544 51 9 that that IN 10_1101-2021_01_06_425544 51 10 the the DT 10_1101-2021_01_06_425544 51 11 two two CD 10_1101-2021_01_06_425544 51 12 series serie NNS 10_1101-2021_01_06_425544 51 13 are be VBP 10_1101-2021_01_06_425544 51 14 out out IN 10_1101-2021_01_06_425544 51 15 of of IN 10_1101-2021_01_06_425544 51 16 phase phase NN 10_1101-2021_01_06_425544 51 17 and and CC 10_1101-2021_01_06_425544 51 18 x(t+n x(t+n NNP 10_1101-2021_01_06_425544 51 19 ) ) -RRB- 10_1101-2021_01_06_425544 51 20 series series NN 10_1101-2021_01_06_425544 51 21 leads lead VBZ 10_1101-2021_01_06_425544 51 22 , , , 10_1101-2021_01_06_425544 51 23 while while IN 10_1101-2021_01_06_425544 51 24 down down RB 10_1101-2021_01_06_425544 51 25 - - HYPH 10_1101-2021_01_06_425544 51 26 left left JJ 10_1101-2021_01_06_425544 51 27 pointing pointing NN 10_1101-2021_01_06_425544 51 28 arrows arrow NNS 10_1101-2021_01_06_425544 51 29 express express VBP 10_1101-2021_01_06_425544 51 30 that that IN 10_1101-2021_01_06_425544 51 31 the the DT 10_1101-2021_01_06_425544 51 32 two two CD 10_1101-2021_01_06_425544 51 33 series serie NNS 10_1101-2021_01_06_425544 51 34 are be VBP 10_1101-2021_01_06_425544 51 35 out out IN 10_1101-2021_01_06_425544 51 36 of of IN 10_1101-2021_01_06_425544 51 37 phase phase NN 10_1101-2021_01_06_425544 51 38 and and CC 10_1101-2021_01_06_425544 51 39 x(t x(t NNP 10_1101-2021_01_06_425544 51 40 ) ) -RRB- 10_1101-2021_01_06_425544 51 41 series series NNP 10_1101-2021_01_06_425544 51 42 leads lead VBZ 10_1101-2021_01_06_425544 51 43 . . . 10_1101-2021_01_06_425544 52 1 The the DT 10_1101-2021_01_06_425544 52 2 arrows arrow NNS 10_1101-2021_01_06_425544 52 3 are be VBP 10_1101-2021_01_06_425544 52 4 only only RB 10_1101-2021_01_06_425544 52 5 plotted plot VBN 10_1101-2021_01_06_425544 52 6 within within IN 10_1101-2021_01_06_425544 52 7 white white JJ 10_1101-2021_01_06_425544 52 8 contour contour NN 10_1101-2021_01_06_425544 52 9 lines line NNS 10_1101-2021_01_06_425544 52 10 indicating indicate VBG 10_1101-2021_01_06_425544 52 11 significance significance NN 10_1101-2021_01_06_425544 52 12 at at IN 10_1101-2021_01_06_425544 52 13 the the DT 10_1101-2021_01_06_425544 52 14 10 10 CD 10_1101-2021_01_06_425544 52 15 % % NN 10_1101-2021_01_06_425544 52 16 level level NN 10_1101-2021_01_06_425544 52 17 . . . 10_1101-2021_01_06_425544 53 1 A a DT 10_1101-2021_01_06_425544 53 2 more more RBR 10_1101-2021_01_06_425544 53 3 explicit explicit JJ 10_1101-2021_01_06_425544 53 4 global global JJ 10_1101-2021_01_06_425544 53 5 view view NN 10_1101-2021_01_06_425544 53 6 of of IN 10_1101-2021_01_06_425544 53 7 the the DT 10_1101-2021_01_06_425544 53 8 phase phase NN 10_1101-2021_01_06_425544 53 9 difference difference NN 10_1101-2021_01_06_425544 53 10 can can MD 10_1101-2021_01_06_425544 53 11 be be VB 10_1101-2021_01_06_425544 53 12 produced produce VBN 10_1101-2021_01_06_425544 53 13 with with IN 10_1101-2021_01_06_425544 53 14 ( ( -LRB- 10_1101-2021_01_06_425544 53 15 π/2 π/2 NNS 10_1101-2021_01_06_425544 53 16 , , , 10_1101-2021_01_06_425544 53 17 π π LS 10_1101-2021_01_06_425544 53 18 ) ) -RRB- 10_1101-2021_01_06_425544 53 19 and and CC 10_1101-2021_01_06_425544 53 20 ( ( -LRB- 10_1101-2021_01_06_425544 53 21 -π -π HYPH 10_1101-2021_01_06_425544 53 22 , , , 10_1101-2021_01_06_425544 53 23 - - HYPH 10_1101-2021_01_06_425544 53 24 π π NN 10_1101-2021_01_06_425544 53 25 /2 /2 . 10_1101-2021_01_06_425544 53 26 ) ) -RRB- 10_1101-2021_01_06_425544 53 27 for for IN 10_1101-2021_01_06_425544 53 28 out out IN 10_1101-2021_01_06_425544 53 29 of of IN 10_1101-2021_01_06_425544 53 30 phase phase NN 10_1101-2021_01_06_425544 53 31 and and CC 10_1101-2021_01_06_425544 53 32 ( ( -LRB- 10_1101-2021_01_06_425544 53 33 -π -π : 10_1101-2021_01_06_425544 53 34 /2 /2 NNP 10_1101-2021_01_06_425544 53 35 , , , 10_1101-2021_01_06_425544 53 36 π π LS 10_1101-2021_01_06_425544 53 37 /2 /2 . 10_1101-2021_01_06_425544 53 38 ) ) -RRB- 10_1101-2021_01_06_425544 53 39 for for IN 10_1101-2021_01_06_425544 53 40 in- in- XX 10_1101-2021_01_06_425544 53 41 .CC .CC NFP 10_1101-2021_01_06_425544 53 42 - - : 10_1101-2021_01_06_425544 53 43 BY by IN 10_1101-2021_01_06_425544 53 44 4.0 4.0 CD 10_1101-2021_01_06_425544 53 45 International International NNP 10_1101-2021_01_06_425544 53 46 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 53 47 under under IN 10_1101-2021_01_06_425544 53 48 a a DT 10_1101-2021_01_06_425544 53 49 ( ( -LRB- 10_1101-2021_01_06_425544 53 50 which which WDT 10_1101-2021_01_06_425544 53 51 was be VBD 10_1101-2021_01_06_425544 53 52 not not RB 10_1101-2021_01_06_425544 53 53 certified certify VBN 10_1101-2021_01_06_425544 53 54 by by IN 10_1101-2021_01_06_425544 53 55 peer peer NN 10_1101-2021_01_06_425544 53 56 review review NN 10_1101-2021_01_06_425544 53 57 ) ) -RRB- 10_1101-2021_01_06_425544 53 58 is be VBZ 10_1101-2021_01_06_425544 53 59 the the DT 10_1101-2021_01_06_425544 53 60 author author NN 10_1101-2021_01_06_425544 53 61 / / SYM 10_1101-2021_01_06_425544 53 62 funder funder NN 10_1101-2021_01_06_425544 53 63 , , , 10_1101-2021_01_06_425544 53 64 who who WP 10_1101-2021_01_06_425544 53 65 has have VBZ 10_1101-2021_01_06_425544 53 66 granted grant VBN 10_1101-2021_01_06_425544 53 67 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 53 68 a a DT 10_1101-2021_01_06_425544 53 69 license license NN 10_1101-2021_01_06_425544 53 70 to to TO 10_1101-2021_01_06_425544 53 71 display display VB 10_1101-2021_01_06_425544 53 72 the the DT 10_1101-2021_01_06_425544 53 73 preprint preprint NN 10_1101-2021_01_06_425544 53 74 in in IN 10_1101-2021_01_06_425544 53 75 perpetuity perpetuity NN 10_1101-2021_01_06_425544 53 76 . . . 10_1101-2021_01_06_425544 54 1 It -PRON- PRP 10_1101-2021_01_06_425544 54 2 is be VBZ 10_1101-2021_01_06_425544 54 3 made make VBN 10_1101-2021_01_06_425544 54 4 The the DT 10_1101-2021_01_06_425544 54 5 copyright copyright NN 10_1101-2021_01_06_425544 54 6 holder holder NN 10_1101-2021_01_06_425544 54 7 for for IN 10_1101-2021_01_06_425544 54 8 this this DT 10_1101-2021_01_06_425544 54 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 54 10 version version NN 10_1101-2021_01_06_425544 54 11 posted post VBD 10_1101-2021_01_06_425544 54 12 January January NNP 10_1101-2021_01_06_425544 54 13 6 6 CD 10_1101-2021_01_06_425544 54 14 , , , 10_1101-2021_01_06_425544 54 15 2021 2021 CD 10_1101-2021_01_06_425544 54 16 . . . 10_1101-2021_01_06_425544 54 17 ; ; : 10_1101-2021_01_06_425544 54 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 54 19 : : : 10_1101-2021_01_06_425544 54 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 54 21 preprint preprint NN 10_1101-2021_01_06_425544 54 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 54 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ -LRB- 10_1101-2021_01_06_425544 54 24 phase phase NNP 10_1101-2021_01_06_425544 54 25 . . . 10_1101-2021_01_06_425544 55 1 The the DT 10_1101-2021_01_06_425544 55 2 time time NN 10_1101-2021_01_06_425544 55 3 - - HYPH 10_1101-2021_01_06_425544 55 4 averaged average VBN 10_1101-2021_01_06_425544 55 5 cross cross JJ 10_1101-2021_01_06_425544 55 6 - - JJ 10_1101-2021_01_06_425544 55 7 wavelet wavelet JJ 10_1101-2021_01_06_425544 55 8 power power NN 10_1101-2021_01_06_425544 55 9 provides provide VBZ 10_1101-2021_01_06_425544 55 10 a a DT 10_1101-2021_01_06_425544 55 11 summarized summarized JJ 10_1101-2021_01_06_425544 55 12 view view NN 10_1101-2021_01_06_425544 55 13 on on IN 10_1101-2021_01_06_425544 55 14 the the DT 10_1101-2021_01_06_425544 55 15 shared share VBN 10_1101-2021_01_06_425544 55 16 periods period NNS 10_1101-2021_01_06_425544 55 17 , , , 10_1101-2021_01_06_425544 55 18 the the DT 10_1101-2021_01_06_425544 55 19 corresponding correspond VBG 10_1101-2021_01_06_425544 55 20 power power NN 10_1101-2021_01_06_425544 55 21 and and CC 10_1101-2021_01_06_425544 55 22 the the DT 10_1101-2021_01_06_425544 55 23 statistical statistical JJ 10_1101-2021_01_06_425544 55 24 significance significance NN 10_1101-2021_01_06_425544 55 25 . . . 10_1101-2021_01_06_425544 56 1 Cross cross JJ 10_1101-2021_01_06_425544 56 2 - - JJ 10_1101-2021_01_06_425544 56 3 wavelet wavelet JJ 10_1101-2021_01_06_425544 56 4 plots plot NNS 10_1101-2021_01_06_425544 56 5 may may MD 10_1101-2021_01_06_425544 56 6 mark mark VB 10_1101-2021_01_06_425544 56 7 areas area NNS 10_1101-2021_01_06_425544 56 8 significant significant JJ 10_1101-2021_01_06_425544 56 9 due due IN 10_1101-2021_01_06_425544 56 10 to to IN 10_1101-2021_01_06_425544 56 11 one one CD 10_1101-2021_01_06_425544 56 12 series series NN 10_1101-2021_01_06_425544 56 13 swinging swinge VBG 10_1101-2021_01_06_425544 56 14 widely widely RB 10_1101-2021_01_06_425544 56 15 , , , 10_1101-2021_01_06_425544 56 16 rather rather RB 10_1101-2021_01_06_425544 56 17 than than IN 10_1101-2021_01_06_425544 56 18 two two CD 10_1101-2021_01_06_425544 56 19 series series NN 10_1101-2021_01_06_425544 56 20 sharing share VBG 10_1101-2021_01_06_425544 56 21 a a DT 10_1101-2021_01_06_425544 56 22 joint joint JJ 10_1101-2021_01_06_425544 56 23 period period NN 10_1101-2021_01_06_425544 56 24 . . . 10_1101-2021_01_06_425544 57 1 To to TO 10_1101-2021_01_06_425544 57 2 avoid avoid VB 10_1101-2021_01_06_425544 57 3 this this DT 10_1101-2021_01_06_425544 57 4 false false JJ 10_1101-2021_01_06_425544 57 5 positive positive JJ 10_1101-2021_01_06_425544 57 6 readout readout NN 10_1101-2021_01_06_425544 57 7 , , , 10_1101-2021_01_06_425544 57 8 it -PRON- PRP 10_1101-2021_01_06_425544 57 9 is be VBZ 10_1101-2021_01_06_425544 57 10 more more RBR 10_1101-2021_01_06_425544 57 11 appropriate appropriate JJ 10_1101-2021_01_06_425544 57 12 to to TO 10_1101-2021_01_06_425544 57 13 examine examine VB 10_1101-2021_01_06_425544 57 14 wavelet wavelet NN 10_1101-2021_01_06_425544 57 15 coherence coherence NN 10_1101-2021_01_06_425544 57 16 plots plot NNS 10_1101-2021_01_06_425544 57 17 , , , 10_1101-2021_01_06_425544 57 18 like like IN 10_1101-2021_01_06_425544 57 19 the the DT 10_1101-2021_01_06_425544 57 20 coefficient coefficient NN 10_1101-2021_01_06_425544 57 21 of of IN 10_1101-2021_01_06_425544 57 22 correlation correlation NN 10_1101-2021_01_06_425544 57 23 . . . 10_1101-2021_01_06_425544 58 1 It -PRON- PRP 10_1101-2021_01_06_425544 58 2 has have VBZ 10_1101-2021_01_06_425544 58 3 a a DT 10_1101-2021_01_06_425544 58 4 value value NN 10_1101-2021_01_06_425544 58 5 range range NN 10_1101-2021_01_06_425544 58 6 between between IN 10_1101-2021_01_06_425544 58 7 0 0 CD 10_1101-2021_01_06_425544 58 8 and and CC 10_1101-2021_01_06_425544 58 9 1 1 CD 10_1101-2021_01_06_425544 58 10 and and CC 10_1101-2021_01_06_425544 58 11 it -PRON- PRP 10_1101-2021_01_06_425544 58 12 shows show VBZ 10_1101-2021_01_06_425544 58 13 statistical statistical JJ 10_1101-2021_01_06_425544 58 14 significance significance NN 10_1101-2021_01_06_425544 58 15 only only RB 10_1101-2021_01_06_425544 58 16 in in IN 10_1101-2021_01_06_425544 58 17 areas area NNS 10_1101-2021_01_06_425544 58 18 where where WRB 10_1101-2021_01_06_425544 58 19 the the DT 10_1101-2021_01_06_425544 58 20 two two CD 10_1101-2021_01_06_425544 58 21 series series NN 10_1101-2021_01_06_425544 58 22 actually actually RB 10_1101-2021_01_06_425544 58 23 share share VBP 10_1101-2021_01_06_425544 58 24 jointly jointly RB 10_1101-2021_01_06_425544 58 25 significant significant JJ 10_1101-2021_01_06_425544 58 26 periods period NNS 10_1101-2021_01_06_425544 58 27 . . . 10_1101-2021_01_06_425544 59 1 Return return NN 10_1101-2021_01_06_425544 59 2 plots plot NNS 10_1101-2021_01_06_425544 59 3 : : : 10_1101-2021_01_06_425544 59 4 From from IN 10_1101-2021_01_06_425544 59 5 the the DT 10_1101-2021_01_06_425544 59 6 total total JJ 10_1101-2021_01_06_425544 59 7 numbers number NNS 10_1101-2021_01_06_425544 59 8 of of IN 10_1101-2021_01_06_425544 59 9 new new JJ 10_1101-2021_01_06_425544 59 10 infections infection NNS 10_1101-2021_01_06_425544 59 11 , , , 10_1101-2021_01_06_425544 59 12 we -PRON- PRP 10_1101-2021_01_06_425544 59 13 generated generate VBD 10_1101-2021_01_06_425544 59 14 return return NN 10_1101-2021_01_06_425544 59 15 plots plot NNS 10_1101-2021_01_06_425544 59 16 with with IN 10_1101-2021_01_06_425544 59 17 increasing increase VBG 10_1101-2021_01_06_425544 59 18 lags lag NNS 10_1101-2021_01_06_425544 59 19 , , , 10_1101-2021_01_06_425544 59 20 plotting plot VBG 10_1101-2021_01_06_425544 59 21 daily daily JJ 10_1101-2021_01_06_425544 59 22 changes change NNS 10_1101-2021_01_06_425544 59 23 x(t+1 x(t+1 NNP 10_1101-2021_01_06_425544 59 24 ) ) -RRB- 10_1101-2021_01_06_425544 59 25 , , , 10_1101-2021_01_06_425544 59 26 … … NFP 10_1101-2021_01_06_425544 59 27 , , , 10_1101-2021_01_06_425544 59 28 x(t+7 x(t+7 NNP 10_1101-2021_01_06_425544 59 29 ) ) -RRB- 10_1101-2021_01_06_425544 59 30 versus versus IN 10_1101-2021_01_06_425544 59 31 x(t x(t NNP 10_1101-2021_01_06_425544 59 32 ) ) -RRB- 10_1101-2021_01_06_425544 59 33 and and CC 10_1101-2021_01_06_425544 59 34 weekly weekly JJ 10_1101-2021_01_06_425544 59 35 changes change NNS 10_1101-2021_01_06_425544 59 36 x(t+14 x(t+14 ADD 10_1101-2021_01_06_425544 59 37 ) ) -RRB- 10_1101-2021_01_06_425544 59 38 , , , 10_1101-2021_01_06_425544 59 39 … … NFP 10_1101-2021_01_06_425544 59 40 , , , 10_1101-2021_01_06_425544 59 41 x(t+49 x(t+49 FW 10_1101-2021_01_06_425544 59 42 ) ) -RRB- 10_1101-2021_01_06_425544 59 43 versus versus IN 10_1101-2021_01_06_425544 59 44 x(t x(t NNP 10_1101-2021_01_06_425544 59 45 ) ) -RRB- 10_1101-2021_01_06_425544 59 46 . . . 10_1101-2021_01_06_425544 60 1 Short short JJ 10_1101-2021_01_06_425544 60 2 time time NN 10_1101-2021_01_06_425544 60 3 lags lag NNS 10_1101-2021_01_06_425544 60 4 tend tend VBP 10_1101-2021_01_06_425544 60 5 to to TO 10_1101-2021_01_06_425544 60 6 cluster cluster VB 10_1101-2021_01_06_425544 60 7 around around IN 10_1101-2021_01_06_425544 60 8 the the DT 10_1101-2021_01_06_425544 60 9 45o 45o NNS 10_1101-2021_01_06_425544 60 10 angle angle NN 10_1101-2021_01_06_425544 60 11 , , , 10_1101-2021_01_06_425544 60 12 whereas whereas IN 10_1101-2021_01_06_425544 60 13 increasing increase VBG 10_1101-2021_01_06_425544 60 14 time time NN 10_1101-2021_01_06_425544 60 15 delays delay NNS 10_1101-2021_01_06_425544 60 16 reveal reveal VBP 10_1101-2021_01_06_425544 60 17 the the DT 10_1101-2021_01_06_425544 60 18 structure structure NN 10_1101-2021_01_06_425544 60 19 of of IN 10_1101-2021_01_06_425544 60 20 the the DT 10_1101-2021_01_06_425544 60 21 oscillations oscillation NNS 10_1101-2021_01_06_425544 60 22 . . . 10_1101-2021_01_06_425544 61 1 When when WRB 10_1101-2021_01_06_425544 61 2 graphed graph VBN 10_1101-2021_01_06_425544 61 3 in in IN 10_1101-2021_01_06_425544 61 4 3 3 CD 10_1101-2021_01_06_425544 61 5 dimensions dimension NNS 10_1101-2021_01_06_425544 61 6 , , , 10_1101-2021_01_06_425544 61 7 these these DT 10_1101-2021_01_06_425544 61 8 diagrams diagram NNS 10_1101-2021_01_06_425544 61 9 can can MD 10_1101-2021_01_06_425544 61 10 aid aid VB 10_1101-2021_01_06_425544 61 11 in in IN 10_1101-2021_01_06_425544 61 12 reconstructing reconstruct VBG 10_1101-2021_01_06_425544 61 13 the the DT 10_1101-2021_01_06_425544 61 14 underlying underlie VBG 10_1101-2021_01_06_425544 61 15 attractor attractor NN 10_1101-2021_01_06_425544 61 16 . . . 10_1101-2021_01_06_425544 62 1 Autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 62 2 : : : 10_1101-2021_01_06_425544 62 3 A a DT 10_1101-2021_01_06_425544 62 4 time time NN 10_1101-2021_01_06_425544 62 5 series series NN 10_1101-2021_01_06_425544 62 6 sometimes sometimes RB 10_1101-2021_01_06_425544 62 7 repeats repeat VBZ 10_1101-2021_01_06_425544 62 8 patterns pattern NNS 10_1101-2021_01_06_425544 62 9 or or CC 10_1101-2021_01_06_425544 62 10 has have VBZ 10_1101-2021_01_06_425544 62 11 other other JJ 10_1101-2021_01_06_425544 62 12 properties property NNS 10_1101-2021_01_06_425544 62 13 , , , 10_1101-2021_01_06_425544 62 14 whereby whereby WRB 10_1101-2021_01_06_425544 62 15 earlier early JJR 10_1101-2021_01_06_425544 62 16 values value NNS 10_1101-2021_01_06_425544 62 17 display display VBP 10_1101-2021_01_06_425544 62 18 some some DT 10_1101-2021_01_06_425544 62 19 relation relation NN 10_1101-2021_01_06_425544 62 20 to to IN 10_1101-2021_01_06_425544 62 21 later later JJ 10_1101-2021_01_06_425544 62 22 values value NNS 10_1101-2021_01_06_425544 62 23 . . . 10_1101-2021_01_06_425544 63 1 The the DT 10_1101-2021_01_06_425544 63 2 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 63 3 statistic statistic NN 10_1101-2021_01_06_425544 63 4 ( ( -LRB- 10_1101-2021_01_06_425544 63 5 serial serial JJ 10_1101-2021_01_06_425544 63 6 correlation correlation NN 10_1101-2021_01_06_425544 63 7 statistic statistic NN 10_1101-2021_01_06_425544 63 8 ) ) -RRB- 10_1101-2021_01_06_425544 63 9 measures measure VBZ 10_1101-2021_01_06_425544 63 10 the the DT 10_1101-2021_01_06_425544 63 11 degree degree NN 10_1101-2021_01_06_425544 63 12 of of IN 10_1101-2021_01_06_425544 63 13 that that DT 10_1101-2021_01_06_425544 63 14 affiliation affiliation NN 10_1101-2021_01_06_425544 63 15 as as IN 10_1101-2021_01_06_425544 63 16 it -PRON- PRP 10_1101-2021_01_06_425544 63 17 refers refer VBZ 10_1101-2021_01_06_425544 63 18 to to TO 10_1101-2021_01_06_425544 63 19 linear linear VB 10_1101-2021_01_06_425544 63 20 dependence dependence NN 10_1101-2021_01_06_425544 63 21 . . . 10_1101-2021_01_06_425544 64 1 The the DT 10_1101-2021_01_06_425544 64 2 magnitude magnitude NN 10_1101-2021_01_06_425544 64 3 of of IN 10_1101-2021_01_06_425544 64 4 its -PRON- PRP$ 10_1101-2021_01_06_425544 64 5 dimensionless dimensionless JJ 10_1101-2021_01_06_425544 64 6 number number NN 10_1101-2021_01_06_425544 64 7 reflects reflect VBZ 10_1101-2021_01_06_425544 64 8 the the DT 10_1101-2021_01_06_425544 64 9 extent extent NN 10_1101-2021_01_06_425544 64 10 of of IN 10_1101-2021_01_06_425544 64 11 similarity similarity NN 10_1101-2021_01_06_425544 64 12 . . . 10_1101-2021_01_06_425544 65 1 The the DT 10_1101-2021_01_06_425544 65 2 formula formula NN 10_1101-2021_01_06_425544 65 3 for for IN 10_1101-2021_01_06_425544 65 4 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 65 5 Rm Rm NNP 10_1101-2021_01_06_425544 65 6 is be VBZ 10_1101-2021_01_06_425544 65 7 comprised comprise VBN 10_1101-2021_01_06_425544 65 8 of of IN 10_1101-2021_01_06_425544 65 9 terms term NNS 10_1101-2021_01_06_425544 65 10 for for IN 10_1101-2021_01_06_425544 65 11 autocovariance autocovariance NN 10_1101-2021_01_06_425544 65 12 and and CC 10_1101-2021_01_06_425544 65 13 variance variance NN 10_1101-2021_01_06_425544 65 14 𝑎𝑢𝑡𝑜𝑐𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝑎𝑢𝑡𝑜𝑐𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 NN 10_1101-2021_01_06_425544 65 15 = = SYM 10_1101-2021_01_06_425544 65 16 𝑎𝑢𝑡𝑜𝑐𝑜𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 𝑎𝑢𝑡𝑜𝑐𝑜𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 NN 10_1101-2021_01_06_425544 65 17 𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 𝑣𝑎𝑟𝑖𝑎𝑛𝑐𝑒 NN 10_1101-2021_01_06_425544 65 18 𝑅𝑚 𝑅𝑚 NNP 10_1101-2021_01_06_425544 65 19 = = SYM 10_1101-2021_01_06_425544 65 20 1 1 CD 10_1101-2021_01_06_425544 65 21 𝑁 𝑁 NN 10_1101-2021_01_06_425544 65 22 ∑N―m ∑N―m NNP 10_1101-2021_01_06_425544 65 23 t=1 t=1 NNS 10_1101-2021_01_06_425544 65 24 ( ( -LRB- 10_1101-2021_01_06_425544 65 25 𝑥𝑡 𝑥𝑡 XX 10_1101-2021_01_06_425544 65 26 ― ― XX 10_1101-2021_01_06_425544 65 27 𝑥)(𝑥𝑡+𝑚 𝑥)(𝑥𝑡+𝑚 . 10_1101-2021_01_06_425544 65 28 ― ― NNP 10_1101-2021_01_06_425544 65 29 𝑥 𝑥 NN 10_1101-2021_01_06_425544 65 30 ) ) -RRB- 10_1101-2021_01_06_425544 65 31 1 1 CD 10_1101-2021_01_06_425544 65 32 𝑁 𝑁 NN 10_1101-2021_01_06_425544 65 33 ∑N ∑N NNP 10_1101-2021_01_06_425544 65 34 t=1 t=1 NNS 10_1101-2021_01_06_425544 65 35 ( ( -LRB- 10_1101-2021_01_06_425544 65 36 𝑥𝑡 𝑥𝑡 UH 10_1101-2021_01_06_425544 65 37 ― ― NNP 10_1101-2021_01_06_425544 65 38 𝑥 𝑥 NN 10_1101-2021_01_06_425544 65 39 ) ) -RRB- 10_1101-2021_01_06_425544 65 40 2 2 CD 10_1101-2021_01_06_425544 65 41 Autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 65 42 coefficients coefficient NNS 10_1101-2021_01_06_425544 65 43 range range VBP 10_1101-2021_01_06_425544 65 44 from from IN 10_1101-2021_01_06_425544 65 45 -1 -1 . 10_1101-2021_01_06_425544 65 46 to to IN 10_1101-2021_01_06_425544 65 47 +1 +1 NNS 10_1101-2021_01_06_425544 65 48 , , , 10_1101-2021_01_06_425544 65 49 with with IN 10_1101-2021_01_06_425544 65 50 +1 +1 NNS 10_1101-2021_01_06_425544 65 51 indicating indicate VBG 10_1101-2021_01_06_425544 65 52 perfect perfect JJ 10_1101-2021_01_06_425544 65 53 synchrony synchrony NN 10_1101-2021_01_06_425544 65 54 and and CC 10_1101-2021_01_06_425544 65 55 -1 -1 . 10_1101-2021_01_06_425544 65 56 reflecting reflect VBG 10_1101-2021_01_06_425544 65 57 exact exact JJ 10_1101-2021_01_06_425544 65 58 mirror mirror NN 10_1101-2021_01_06_425544 65 59 images image NNS 10_1101-2021_01_06_425544 65 60 . . . 10_1101-2021_01_06_425544 66 1 An an DT 10_1101-2021_01_06_425544 66 2 absence absence NN 10_1101-2021_01_06_425544 66 3 of of IN 10_1101-2021_01_06_425544 66 4 any any DT 10_1101-2021_01_06_425544 66 5 correlation correlation NN 10_1101-2021_01_06_425544 66 6 yields yield NNS 10_1101-2021_01_06_425544 66 7 Rm Rm NNP 10_1101-2021_01_06_425544 66 8 = = SYM 10_1101-2021_01_06_425544 66 9 0 0 NFP 10_1101-2021_01_06_425544 66 10 . . . 10_1101-2021_01_06_425544 67 1 Box Box NNP 10_1101-2021_01_06_425544 67 2 counting count VBG 10_1101-2021_01_06_425544 67 3 dimension dimension NN 10_1101-2021_01_06_425544 67 4 : : : 10_1101-2021_01_06_425544 67 5 The the DT 10_1101-2021_01_06_425544 67 6 dimension dimension NN 10_1101-2021_01_06_425544 67 7 of of IN 10_1101-2021_01_06_425544 67 8 a a DT 10_1101-2021_01_06_425544 67 9 fractal fractal NN 10_1101-2021_01_06_425544 67 10 is be VBZ 10_1101-2021_01_06_425544 67 11 best well RBS 10_1101-2021_01_06_425544 67 12 described describe VBN 10_1101-2021_01_06_425544 67 13 as as IN 10_1101-2021_01_06_425544 67 14 a a DT 10_1101-2021_01_06_425544 67 15 non non JJ 10_1101-2021_01_06_425544 67 16 - - NN 10_1101-2021_01_06_425544 67 17 integer integer JJ 10_1101-2021_01_06_425544 67 18 . . . 10_1101-2021_01_06_425544 68 1 The the DT 10_1101-2021_01_06_425544 68 2 dimension dimension NN 10_1101-2021_01_06_425544 68 3 is be VBZ 10_1101-2021_01_06_425544 68 4 a a DT 10_1101-2021_01_06_425544 68 5 quantitative quantitative JJ 10_1101-2021_01_06_425544 68 6 measure measure NN 10_1101-2021_01_06_425544 68 7 for for IN 10_1101-2021_01_06_425544 68 8 the the DT 10_1101-2021_01_06_425544 68 9 evaluation evaluation NN 10_1101-2021_01_06_425544 68 10 of of IN 10_1101-2021_01_06_425544 68 11 geometric geometric JJ 10_1101-2021_01_06_425544 68 12 complexity complexity NN 10_1101-2021_01_06_425544 68 13 by by IN 10_1101-2021_01_06_425544 68 14 objects object NNS 10_1101-2021_01_06_425544 68 15 . . . 10_1101-2021_01_06_425544 69 1 A a DT 10_1101-2021_01_06_425544 69 2 general general JJ 10_1101-2021_01_06_425544 69 3 relationship relationship NN 10_1101-2021_01_06_425544 69 4 assumes assume VBZ 10_1101-2021_01_06_425544 69 5 𝑑𝑖𝑚𝑒𝑛𝑠𝑖𝑜𝑛 𝑑𝑖𝑚𝑒𝑛𝑠𝑖𝑜𝑛 NNP 10_1101-2021_01_06_425544 69 6 ∝ ∝ NNP 10_1101-2021_01_06_425544 69 7 log log NNP 10_1101-2021_01_06_425544 69 8 ( ( -LRB- 10_1101-2021_01_06_425544 69 9 𝑛𝑢𝑚𝑏𝑒𝑟 𝑛𝑢𝑚𝑏𝑒𝑟 NNP 10_1101-2021_01_06_425544 69 10 𝑜𝑓 𝑜𝑓 NNP 10_1101-2021_01_06_425544 69 11 𝑖𝑛𝑐𝑟𝑒𝑚𝑒𝑛𝑡𝑠 𝑖𝑛𝑐𝑟𝑒𝑚𝑒𝑛𝑡𝑠 NNP 10_1101-2021_01_06_425544 69 12 ) ) -RRB- 10_1101-2021_01_06_425544 69 13 log log NNP 10_1101-2021_01_06_425544 69 14 ( ( -LRB- 10_1101-2021_01_06_425544 69 15 1𝑠𝑐𝑎𝑙𝑒 1𝑠𝑐𝑎𝑙𝑒 CD 10_1101-2021_01_06_425544 69 16 𝑠𝑖𝑧𝑒 𝑠𝑖𝑧𝑒 NN 10_1101-2021_01_06_425544 69 17 ) ) -RRB- 10_1101-2021_01_06_425544 69 18 Here here RB 10_1101-2021_01_06_425544 69 19 , , , 10_1101-2021_01_06_425544 69 20 the the DT 10_1101-2021_01_06_425544 69 21 characteristic characteristic NN 10_1101-2021_01_06_425544 69 22 of of IN 10_1101-2021_01_06_425544 69 23 dimension dimension NN 10_1101-2021_01_06_425544 69 24 is be VBZ 10_1101-2021_01_06_425544 69 25 that that IN 10_1101-2021_01_06_425544 69 26 it -PRON- PRP 10_1101-2021_01_06_425544 69 27 specifies specify VBZ 10_1101-2021_01_06_425544 69 28 the the DT 10_1101-2021_01_06_425544 69 29 rate rate NN 10_1101-2021_01_06_425544 69 30 , , , 10_1101-2021_01_06_425544 69 31 at at IN 10_1101-2021_01_06_425544 69 32 which which WDT 10_1101-2021_01_06_425544 69 33 the the DT 10_1101-2021_01_06_425544 69 34 number number NN 10_1101-2021_01_06_425544 69 35 of of IN 10_1101-2021_01_06_425544 69 36 increments increment NNS 10_1101-2021_01_06_425544 69 37 varies vary VBZ 10_1101-2021_01_06_425544 69 38 with with IN 10_1101-2021_01_06_425544 69 39 scale scale NN 10_1101-2021_01_06_425544 69 40 size size NN 10_1101-2021_01_06_425544 69 41 . . . 10_1101-2021_01_06_425544 70 1 We -PRON- PRP 10_1101-2021_01_06_425544 70 2 calculated calculate VBD 10_1101-2021_01_06_425544 70 3 the the DT 10_1101-2021_01_06_425544 70 4 box box NN 10_1101-2021_01_06_425544 70 5 counting count VBG 10_1101-2021_01_06_425544 70 6 dimension dimension NN 10_1101-2021_01_06_425544 70 7 after after IN 10_1101-2021_01_06_425544 70 8 binning bin VBG 10_1101-2021_01_06_425544 70 9 into into IN 10_1101-2021_01_06_425544 70 10 16 16 CD 10_1101-2021_01_06_425544 70 11 x x SYM 10_1101-2021_01_06_425544 70 12 16 16 CD 10_1101-2021_01_06_425544 70 13 squares square NNS 10_1101-2021_01_06_425544 70 14 of of IN 10_1101-2021_01_06_425544 70 15 2-dimensional 2-dimensional CD 10_1101-2021_01_06_425544 70 16 return return NN 10_1101-2021_01_06_425544 70 17 plots plot NNS 10_1101-2021_01_06_425544 70 18 with with IN 10_1101-2021_01_06_425544 70 19 various various JJ 10_1101-2021_01_06_425544 70 20 lags lag NNS 10_1101-2021_01_06_425544 70 21 . . . 10_1101-2021_01_06_425544 71 1 .CC .CC NFP 10_1101-2021_01_06_425544 71 2 - - : 10_1101-2021_01_06_425544 71 3 BY by IN 10_1101-2021_01_06_425544 71 4 4.0 4.0 CD 10_1101-2021_01_06_425544 71 5 International International NNP 10_1101-2021_01_06_425544 71 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 71 7 under under IN 10_1101-2021_01_06_425544 71 8 a a DT 10_1101-2021_01_06_425544 71 9 ( ( -LRB- 10_1101-2021_01_06_425544 71 10 which which WDT 10_1101-2021_01_06_425544 71 11 was be VBD 10_1101-2021_01_06_425544 71 12 not not RB 10_1101-2021_01_06_425544 71 13 certified certify VBN 10_1101-2021_01_06_425544 71 14 by by IN 10_1101-2021_01_06_425544 71 15 peer peer NN 10_1101-2021_01_06_425544 71 16 review review NN 10_1101-2021_01_06_425544 71 17 ) ) -RRB- 10_1101-2021_01_06_425544 71 18 is be VBZ 10_1101-2021_01_06_425544 71 19 the the DT 10_1101-2021_01_06_425544 71 20 author author NN 10_1101-2021_01_06_425544 71 21 / / SYM 10_1101-2021_01_06_425544 71 22 funder funder NN 10_1101-2021_01_06_425544 71 23 , , , 10_1101-2021_01_06_425544 71 24 who who WP 10_1101-2021_01_06_425544 71 25 has have VBZ 10_1101-2021_01_06_425544 71 26 granted grant VBN 10_1101-2021_01_06_425544 71 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 71 28 a a DT 10_1101-2021_01_06_425544 71 29 license license NN 10_1101-2021_01_06_425544 71 30 to to TO 10_1101-2021_01_06_425544 71 31 display display VB 10_1101-2021_01_06_425544 71 32 the the DT 10_1101-2021_01_06_425544 71 33 preprint preprint NN 10_1101-2021_01_06_425544 71 34 in in IN 10_1101-2021_01_06_425544 71 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 71 36 . . . 10_1101-2021_01_06_425544 72 1 It -PRON- PRP 10_1101-2021_01_06_425544 72 2 is be VBZ 10_1101-2021_01_06_425544 72 3 made make VBN 10_1101-2021_01_06_425544 72 4 The the DT 10_1101-2021_01_06_425544 72 5 copyright copyright NN 10_1101-2021_01_06_425544 72 6 holder holder NN 10_1101-2021_01_06_425544 72 7 for for IN 10_1101-2021_01_06_425544 72 8 this this DT 10_1101-2021_01_06_425544 72 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 72 10 version version NN 10_1101-2021_01_06_425544 72 11 posted post VBD 10_1101-2021_01_06_425544 72 12 January January NNP 10_1101-2021_01_06_425544 72 13 6 6 CD 10_1101-2021_01_06_425544 72 14 , , , 10_1101-2021_01_06_425544 72 15 2021 2021 CD 10_1101-2021_01_06_425544 72 16 . . . 10_1101-2021_01_06_425544 72 17 ; ; : 10_1101-2021_01_06_425544 72 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 72 19 : : : 10_1101-2021_01_06_425544 72 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 72 21 preprint preprint NN 10_1101-2021_01_06_425544 72 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 72 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 72 24 Average average JJ 10_1101-2021_01_06_425544 72 25 mutual mutual JJ 10_1101-2021_01_06_425544 72 26 information information NN 10_1101-2021_01_06_425544 72 27 : : : 10_1101-2021_01_06_425544 72 28 The the DT 10_1101-2021_01_06_425544 72 29 average average JJ 10_1101-2021_01_06_425544 72 30 mutual mutual JJ 10_1101-2021_01_06_425544 72 31 information information NN 10_1101-2021_01_06_425544 72 32 ( ( -LRB- 10_1101-2021_01_06_425544 72 33 ami ami NNP 10_1101-2021_01_06_425544 72 34 ) ) -RRB- 10_1101-2021_01_06_425544 72 35 represents represent VBZ 10_1101-2021_01_06_425544 72 36 a a DT 10_1101-2021_01_06_425544 72 37 non non JJ 10_1101-2021_01_06_425544 72 38 - - JJ 10_1101-2021_01_06_425544 72 39 linear linear JJ 10_1101-2021_01_06_425544 72 40 correlation correlation NN 10_1101-2021_01_06_425544 72 41 function function NN 10_1101-2021_01_06_425544 72 42 , , , 10_1101-2021_01_06_425544 72 43 which which WDT 10_1101-2021_01_06_425544 72 44 indicates indicate VBZ 10_1101-2021_01_06_425544 72 45 how how WRB 10_1101-2021_01_06_425544 72 46 much much JJ 10_1101-2021_01_06_425544 72 47 common common JJ 10_1101-2021_01_06_425544 72 48 information information NN 10_1101-2021_01_06_425544 72 49 is be VBZ 10_1101-2021_01_06_425544 72 50 shared share VBN 10_1101-2021_01_06_425544 72 51 by by IN 10_1101-2021_01_06_425544 72 52 the the DT 10_1101-2021_01_06_425544 72 53 measurements measurement NNS 10_1101-2021_01_06_425544 72 54 of of IN 10_1101-2021_01_06_425544 72 55 x(t x(t NNP 10_1101-2021_01_06_425544 72 56 ) ) -RRB- 10_1101-2021_01_06_425544 72 57 and and CC 10_1101-2021_01_06_425544 72 58 x(t+n x(t+n NNP 10_1101-2021_01_06_425544 72 59 ) ) -RRB- 10_1101-2021_01_06_425544 72 60 . . . 10_1101-2021_01_06_425544 73 1 The the DT 10_1101-2021_01_06_425544 73 2 average average JJ 10_1101-2021_01_06_425544 73 3 mutual mutual JJ 10_1101-2021_01_06_425544 73 4 information information NN 10_1101-2021_01_06_425544 73 5 was be VBD 10_1101-2021_01_06_425544 73 6 calculated calculate VBN 10_1101-2021_01_06_425544 73 7 with with IN 10_1101-2021_01_06_425544 73 8 the the DT 10_1101-2021_01_06_425544 73 9 mutual mutual JJ 10_1101-2021_01_06_425544 73 10 function function NN 10_1101-2021_01_06_425544 73 11 R r NN 10_1101-2021_01_06_425544 73 12 package package NN 10_1101-2021_01_06_425544 73 13 tseriesChaos tserieschaos NN 10_1101-2021_01_06_425544 73 14 . . . 10_1101-2021_01_06_425544 74 1 It -PRON- PRP 10_1101-2021_01_06_425544 74 2 estimates estimate VBZ 10_1101-2021_01_06_425544 74 3 the the DT 10_1101-2021_01_06_425544 74 4 mutual mutual JJ 10_1101-2021_01_06_425544 74 5 information information NN 10_1101-2021_01_06_425544 74 6 index index NN 10_1101-2021_01_06_425544 74 7 for for IN 10_1101-2021_01_06_425544 74 8 a a DT 10_1101-2021_01_06_425544 74 9 specified specified JJ 10_1101-2021_01_06_425544 74 10 number number NN 10_1101-2021_01_06_425544 74 11 of of IN 10_1101-2021_01_06_425544 74 12 lags lag NNS 10_1101-2021_01_06_425544 74 13 . . . 10_1101-2021_01_06_425544 75 1 The the DT 10_1101-2021_01_06_425544 75 2 joint joint JJ 10_1101-2021_01_06_425544 75 3 probability probability NN 10_1101-2021_01_06_425544 75 4 distribution distribution NN 10_1101-2021_01_06_425544 75 5 function function NN 10_1101-2021_01_06_425544 75 6 is be VBZ 10_1101-2021_01_06_425544 75 7 estimated estimate VBN 10_1101-2021_01_06_425544 75 8 with with IN 10_1101-2021_01_06_425544 75 9 a a DT 10_1101-2021_01_06_425544 75 10 simple simple JJ 10_1101-2021_01_06_425544 75 11 bi bi JJ 10_1101-2021_01_06_425544 75 12 - - JJ 10_1101-2021_01_06_425544 75 13 dimensional dimensional JJ 10_1101-2021_01_06_425544 75 14 density density NN 10_1101-2021_01_06_425544 75 15 histogram histogram NNP 10_1101-2021_01_06_425544 75 16 . . . 10_1101-2021_01_06_425544 76 1 Embedding embed VBG 10_1101-2021_01_06_425544 76 2 dimension dimension NN 10_1101-2021_01_06_425544 76 3 : : : 10_1101-2021_01_06_425544 76 4 Here here RB 10_1101-2021_01_06_425544 76 5 by by IN 10_1101-2021_01_06_425544 76 6 R r NN 10_1101-2021_01_06_425544 76 7 package package NN 10_1101-2021_01_06_425544 76 8 nonlinearTseries nonlineartserie NNS 10_1101-2021_01_06_425544 76 9 , , , 10_1101-2021_01_06_425544 76 10 we -PRON- PRP 10_1101-2021_01_06_425544 76 11 first first RB 10_1101-2021_01_06_425544 76 12 use use VBP 10_1101-2021_01_06_425544 76 13 the the DT 10_1101-2021_01_06_425544 76 14 timeLag timeLag NNP 10_1101-2021_01_06_425544 76 15 function function NN 10_1101-2021_01_06_425544 76 16 to to TO 10_1101-2021_01_06_425544 76 17 decide decide VB 10_1101-2021_01_06_425544 76 18 the the DT 10_1101-2021_01_06_425544 76 19 optimal optimal JJ 10_1101-2021_01_06_425544 76 20 time time NN 10_1101-2021_01_06_425544 76 21 lag lag NN 10_1101-2021_01_06_425544 76 22 𝜏 𝜏 NN 10_1101-2021_01_06_425544 76 23 based base VBN 10_1101-2021_01_06_425544 76 24 on on IN 10_1101-2021_01_06_425544 76 25 the the DT 10_1101-2021_01_06_425544 76 26 average average JJ 10_1101-2021_01_06_425544 76 27 mutual mutual JJ 10_1101-2021_01_06_425544 76 28 information information NN 10_1101-2021_01_06_425544 76 29 and and CC 10_1101-2021_01_06_425544 76 30 then then RB 10_1101-2021_01_06_425544 76 31 by by IN 10_1101-2021_01_06_425544 76 32 the the DT 10_1101-2021_01_06_425544 76 33 estimateEmbeddingDim estimateEmbeddingDim NNS 10_1101-2021_01_06_425544 76 34 function function NN 10_1101-2021_01_06_425544 76 35 to to TO 10_1101-2021_01_06_425544 76 36 assess assess VB 10_1101-2021_01_06_425544 76 37 the the DT 10_1101-2021_01_06_425544 76 38 optimal optimal JJ 10_1101-2021_01_06_425544 76 39 embedding embed VBG 10_1101-2021_01_06_425544 76 40 dimension dimension NN 10_1101-2021_01_06_425544 76 41 m. m. NN 10_1101-2021_01_06_425544 76 42 Then then RB 10_1101-2021_01_06_425544 76 43 the the DT 10_1101-2021_01_06_425544 76 44 optimal optimal JJ 10_1101-2021_01_06_425544 76 45 set set NN 10_1101-2021_01_06_425544 76 46 of of IN 10_1101-2021_01_06_425544 76 47 regressors regressor NNS 10_1101-2021_01_06_425544 76 48 related relate VBN 10_1101-2021_01_06_425544 76 49 to to IN 10_1101-2021_01_06_425544 76 50 x(t x(t NNP 10_1101-2021_01_06_425544 76 51 ) ) -RRB- 10_1101-2021_01_06_425544 76 52 is be VBZ 10_1101-2021_01_06_425544 76 53 x(t- x(t- NNP 10_1101-2021_01_06_425544 76 54 𝜏 𝜏 NNP 10_1101-2021_01_06_425544 76 55 ) ) -RRB- 10_1101-2021_01_06_425544 76 56 , , , 10_1101-2021_01_06_425544 76 57 … … NFP 10_1101-2021_01_06_425544 76 58 , , , 10_1101-2021_01_06_425544 76 59 x(t-(m-1 x(t-(m-1 NNP 10_1101-2021_01_06_425544 76 60 ) ) -RRB- 10_1101-2021_01_06_425544 76 61 𝜏 𝜏 NNP 10_1101-2021_01_06_425544 76 62 ) ) -RRB- 10_1101-2021_01_06_425544 76 63 , , , 10_1101-2021_01_06_425544 76 64 x(t- x(t- NNP 10_1101-2021_01_06_425544 76 65 m m NNP 10_1101-2021_01_06_425544 76 66 𝜏 𝜏 NN 10_1101-2021_01_06_425544 76 67 ) ) -RRB- 10_1101-2021_01_06_425544 76 68 . . . 10_1101-2021_01_06_425544 77 1 .CC .CC NFP 10_1101-2021_01_06_425544 77 2 - - : 10_1101-2021_01_06_425544 77 3 BY by IN 10_1101-2021_01_06_425544 77 4 4.0 4.0 CD 10_1101-2021_01_06_425544 77 5 International International NNP 10_1101-2021_01_06_425544 77 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 77 7 under under IN 10_1101-2021_01_06_425544 77 8 a a DT 10_1101-2021_01_06_425544 77 9 ( ( -LRB- 10_1101-2021_01_06_425544 77 10 which which WDT 10_1101-2021_01_06_425544 77 11 was be VBD 10_1101-2021_01_06_425544 77 12 not not RB 10_1101-2021_01_06_425544 77 13 certified certify VBN 10_1101-2021_01_06_425544 77 14 by by IN 10_1101-2021_01_06_425544 77 15 peer peer NN 10_1101-2021_01_06_425544 77 16 review review NN 10_1101-2021_01_06_425544 77 17 ) ) -RRB- 10_1101-2021_01_06_425544 77 18 is be VBZ 10_1101-2021_01_06_425544 77 19 the the DT 10_1101-2021_01_06_425544 77 20 author author NN 10_1101-2021_01_06_425544 77 21 / / SYM 10_1101-2021_01_06_425544 77 22 funder funder NN 10_1101-2021_01_06_425544 77 23 , , , 10_1101-2021_01_06_425544 77 24 who who WP 10_1101-2021_01_06_425544 77 25 has have VBZ 10_1101-2021_01_06_425544 77 26 granted grant VBN 10_1101-2021_01_06_425544 77 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 77 28 a a DT 10_1101-2021_01_06_425544 77 29 license license NN 10_1101-2021_01_06_425544 77 30 to to TO 10_1101-2021_01_06_425544 77 31 display display VB 10_1101-2021_01_06_425544 77 32 the the DT 10_1101-2021_01_06_425544 77 33 preprint preprint NN 10_1101-2021_01_06_425544 77 34 in in IN 10_1101-2021_01_06_425544 77 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 77 36 . . . 10_1101-2021_01_06_425544 78 1 It -PRON- PRP 10_1101-2021_01_06_425544 78 2 is be VBZ 10_1101-2021_01_06_425544 78 3 made make VBN 10_1101-2021_01_06_425544 78 4 The the DT 10_1101-2021_01_06_425544 78 5 copyright copyright NN 10_1101-2021_01_06_425544 78 6 holder holder NN 10_1101-2021_01_06_425544 78 7 for for IN 10_1101-2021_01_06_425544 78 8 this this DT 10_1101-2021_01_06_425544 78 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 78 10 version version NN 10_1101-2021_01_06_425544 78 11 posted post VBD 10_1101-2021_01_06_425544 78 12 January January NNP 10_1101-2021_01_06_425544 78 13 6 6 CD 10_1101-2021_01_06_425544 78 14 , , , 10_1101-2021_01_06_425544 78 15 2021 2021 CD 10_1101-2021_01_06_425544 78 16 . . . 10_1101-2021_01_06_425544 78 17 ; ; : 10_1101-2021_01_06_425544 78 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 78 19 : : : 10_1101-2021_01_06_425544 78 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 78 21 preprint preprint NN 10_1101-2021_01_06_425544 78 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 78 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ -LRB- 10_1101-2021_01_06_425544 78 24 Results Results NNP 10_1101-2021_01_06_425544 78 25 1 1 CD 10_1101-2021_01_06_425544 78 26 . . . 10_1101-2021_01_06_425544 79 1 Comparison comparison NN 10_1101-2021_01_06_425544 79 2 across across IN 10_1101-2021_01_06_425544 79 3 Countries Countries NNPS 10_1101-2021_01_06_425544 79 4 Across Across NNP 10_1101-2021_01_06_425544 79 5 countries country NNS 10_1101-2021_01_06_425544 79 6 , , , 10_1101-2021_01_06_425544 79 7 a a DT 10_1101-2021_01_06_425544 79 8 wide wide JJ 10_1101-2021_01_06_425544 79 9 spectrum spectrum NN 10_1101-2021_01_06_425544 79 10 of of IN 10_1101-2021_01_06_425544 79 11 measures measure NNS 10_1101-2021_01_06_425544 79 12 was be VBD 10_1101-2021_01_06_425544 79 13 taken take VBN 10_1101-2021_01_06_425544 79 14 to to TO 10_1101-2021_01_06_425544 79 15 curb curb VB 10_1101-2021_01_06_425544 79 16 the the DT 10_1101-2021_01_06_425544 79 17 spread spread NN 10_1101-2021_01_06_425544 79 18 of of IN 10_1101-2021_01_06_425544 79 19 SARS- SARS- NNP 10_1101-2021_01_06_425544 79 20 CoV2 CoV2 NNP 10_1101-2021_01_06_425544 79 21 . . . 10_1101-2021_01_06_425544 80 1 This this DT 10_1101-2021_01_06_425544 80 2 resulted result VBD 10_1101-2021_01_06_425544 80 3 in in IN 10_1101-2021_01_06_425544 80 4 a a DT 10_1101-2021_01_06_425544 80 5 range range NN 10_1101-2021_01_06_425544 80 6 of of IN 10_1101-2021_01_06_425544 80 7 very very RB 10_1101-2021_01_06_425544 80 8 different different JJ 10_1101-2021_01_06_425544 80 9 progression progression NN 10_1101-2021_01_06_425544 80 10 curves curve NNS 10_1101-2021_01_06_425544 80 11 when when WRB 10_1101-2021_01_06_425544 80 12 graphing graph VBG 10_1101-2021_01_06_425544 80 13 the the DT 10_1101-2021_01_06_425544 80 14 numbers number NNS 10_1101-2021_01_06_425544 80 15 of of IN 10_1101-2021_01_06_425544 80 16 new new JJ 10_1101-2021_01_06_425544 80 17 infections infection NNS 10_1101-2021_01_06_425544 80 18 over over IN 10_1101-2021_01_06_425544 80 19 time time NN 10_1101-2021_01_06_425544 80 20 ( ( -LRB- 10_1101-2021_01_06_425544 80 21 Figure figure NN 10_1101-2021_01_06_425544 80 22 1 1 CD 10_1101-2021_01_06_425544 80 23 ) ) -RRB- 10_1101-2021_01_06_425544 80 24 . . . 10_1101-2021_01_06_425544 81 1 India India NNP 10_1101-2021_01_06_425544 81 2 , , , 10_1101-2021_01_06_425544 81 3 Brazil Brazil NNP 10_1101-2021_01_06_425544 81 4 , , , 10_1101-2021_01_06_425544 81 5 Sweden Sweden NNP 10_1101-2021_01_06_425544 81 6 , , , 10_1101-2021_01_06_425544 81 7 Italy Italy NNP 10_1101-2021_01_06_425544 81 8 and and CC 10_1101-2021_01_06_425544 81 9 the the DT 10_1101-2021_01_06_425544 81 10 United United NNP 10_1101-2021_01_06_425544 81 11 States States NNP 10_1101-2021_01_06_425544 81 12 have have VBP 10_1101-2021_01_06_425544 81 13 been be VBN 10_1101-2021_01_06_425544 81 14 considered consider VBN 10_1101-2021_01_06_425544 81 15 as as RB 10_1101-2021_01_06_425544 81 16 hard hard RB 10_1101-2021_01_06_425544 81 17 - - HYPH 10_1101-2021_01_06_425544 81 18 hit hit VBN 10_1101-2021_01_06_425544 81 19 for for IN 10_1101-2021_01_06_425544 81 20 their -PRON- PRP$ 10_1101-2021_01_06_425544 81 21 own own JJ 10_1101-2021_01_06_425544 81 22 internal internal JJ 10_1101-2021_01_06_425544 81 23 reasons reason NNS 10_1101-2021_01_06_425544 81 24 . . . 10_1101-2021_01_06_425544 82 1 France France NNP 10_1101-2021_01_06_425544 82 2 , , , 10_1101-2021_01_06_425544 82 3 Germany Germany NNP 10_1101-2021_01_06_425544 82 4 , , , 10_1101-2021_01_06_425544 82 5 over over IN 10_1101-2021_01_06_425544 82 6 a a DT 10_1101-2021_01_06_425544 82 7 long long JJ 10_1101-2021_01_06_425544 82 8 period period NN 10_1101-2021_01_06_425544 82 9 Poland Poland NNP 10_1101-2021_01_06_425544 82 10 , , , 10_1101-2021_01_06_425544 82 11 and and CC 10_1101-2021_01_06_425544 82 12 South South NNP 10_1101-2021_01_06_425544 82 13 Korea Korea NNP 10_1101-2021_01_06_425544 82 14 had have VBD 10_1101-2021_01_06_425544 82 15 tighter tight JJR 10_1101-2021_01_06_425544 82 16 control control NN 10_1101-2021_01_06_425544 82 17 and and CC 10_1101-2021_01_06_425544 82 18 a a DT 10_1101-2021_01_06_425544 82 19 less less RBR 10_1101-2021_01_06_425544 82 20 aggressive aggressive JJ 10_1101-2021_01_06_425544 82 21 spread spread NN 10_1101-2021_01_06_425544 82 22 . . . 10_1101-2021_01_06_425544 83 1 All all DT 10_1101-2021_01_06_425544 83 2 curves curve NNS 10_1101-2021_01_06_425544 83 3 display display VBP 10_1101-2021_01_06_425544 83 4 close close RB 10_1101-2021_01_06_425544 83 5 to to TO 10_1101-2021_01_06_425544 83 6 linear linear VB 10_1101-2021_01_06_425544 83 7 ramp ramp NN 10_1101-2021_01_06_425544 83 8 - - HYPH 10_1101-2021_01_06_425544 83 9 up up RP 10_1101-2021_01_06_425544 83 10 phases phase NNS 10_1101-2021_01_06_425544 83 11 , , , 10_1101-2021_01_06_425544 83 12 followed follow VBN 10_1101-2021_01_06_425544 83 13 by by IN 10_1101-2021_01_06_425544 83 14 more more JJR 10_1101-2021_01_06_425544 83 15 or or CC 10_1101-2021_01_06_425544 83 16 less less RBR 10_1101-2021_01_06_425544 83 17 irregular irregular JJ 10_1101-2021_01_06_425544 83 18 oscillations oscillation NNS 10_1101-2021_01_06_425544 83 19 . . . 10_1101-2021_01_06_425544 84 1 The the DT 10_1101-2021_01_06_425544 84 2 levels level NNS 10_1101-2021_01_06_425544 84 3 of of IN 10_1101-2021_01_06_425544 84 4 success success NN 10_1101-2021_01_06_425544 84 5 at at IN 10_1101-2021_01_06_425544 84 6 suppressing suppress VBG 10_1101-2021_01_06_425544 84 7 the the DT 10_1101-2021_01_06_425544 84 8 new new JJ 10_1101-2021_01_06_425544 84 9 infection infection NN 10_1101-2021_01_06_425544 84 10 rates rate NNS 10_1101-2021_01_06_425544 84 11 diverged diverge VBD 10_1101-2021_01_06_425544 84 12 among among IN 10_1101-2021_01_06_425544 84 13 countries country NNS 10_1101-2021_01_06_425544 84 14 , , , 10_1101-2021_01_06_425544 84 15 and and CC 10_1101-2021_01_06_425544 84 16 several several JJ 10_1101-2021_01_06_425544 84 17 are be VBP 10_1101-2021_01_06_425544 84 18 experiencing experience VBG 10_1101-2021_01_06_425544 84 19 a a DT 10_1101-2021_01_06_425544 84 20 second second JJ 10_1101-2021_01_06_425544 84 21 peak peak NN 10_1101-2021_01_06_425544 84 22 . . . 10_1101-2021_01_06_425544 85 1 Wavelet wavelet VB 10_1101-2021_01_06_425544 85 2 methodology methodology NN 10_1101-2021_01_06_425544 85 3 aids aid NNS 10_1101-2021_01_06_425544 85 4 in in IN 10_1101-2021_01_06_425544 85 5 studying study VBG 10_1101-2021_01_06_425544 85 6 periodic periodic JJ 10_1101-2021_01_06_425544 85 7 phenomena phenomenon NNS 10_1101-2021_01_06_425544 85 8 in in IN 10_1101-2021_01_06_425544 85 9 time time NN 10_1101-2021_01_06_425544 85 10 series series NNP 10_1101-2021_01_06_425544 85 11 , , , 10_1101-2021_01_06_425544 85 12 particularly particularly RB 10_1101-2021_01_06_425544 85 13 in in IN 10_1101-2021_01_06_425544 85 14 the the DT 10_1101-2021_01_06_425544 85 15 presence presence NN 10_1101-2021_01_06_425544 85 16 of of IN 10_1101-2021_01_06_425544 85 17 potential potential JJ 10_1101-2021_01_06_425544 85 18 frequency frequency NN 10_1101-2021_01_06_425544 85 19 changes change NNS 10_1101-2021_01_06_425544 85 20 over over IN 10_1101-2021_01_06_425544 85 21 time time NN 10_1101-2021_01_06_425544 85 22 . . . 10_1101-2021_01_06_425544 86 1 For for IN 10_1101-2021_01_06_425544 86 2 cross cross JJ 10_1101-2021_01_06_425544 86 3 - - JJ 10_1101-2021_01_06_425544 86 4 country country JJ 10_1101-2021_01_06_425544 86 5 evaluations evaluation NNS 10_1101-2021_01_06_425544 86 6 , , , 10_1101-2021_01_06_425544 86 7 all all DT 10_1101-2021_01_06_425544 86 8 graphs graphs NNPS 10_1101-2021_01_06_425544 86 9 were be VBD 10_1101-2021_01_06_425544 86 10 plotted plot VBN 10_1101-2021_01_06_425544 86 11 on on IN 10_1101-2021_01_06_425544 86 12 the the DT 10_1101-2021_01_06_425544 86 13 same same JJ 10_1101-2021_01_06_425544 86 14 scale scale NN 10_1101-2021_01_06_425544 86 15 ( ( -LRB- 10_1101-2021_01_06_425544 86 16 Figure Figure NNP 10_1101-2021_01_06_425544 86 17 2A 2a NN 10_1101-2021_01_06_425544 86 18 ) ) -RRB- 10_1101-2021_01_06_425544 86 19 . . . 10_1101-2021_01_06_425544 87 1 Each each DT 10_1101-2021_01_06_425544 87 2 country country NN 10_1101-2021_01_06_425544 87 3 was be VBD 10_1101-2021_01_06_425544 87 4 also also RB 10_1101-2021_01_06_425544 87 5 plotted plot VBN 10_1101-2021_01_06_425544 87 6 on on IN 10_1101-2021_01_06_425544 87 7 its -PRON- PRP$ 10_1101-2021_01_06_425544 87 8 own own JJ 10_1101-2021_01_06_425544 87 9 scale scale NN 10_1101-2021_01_06_425544 87 10 ( ( -LRB- 10_1101-2021_01_06_425544 87 11 Figure figure NN 10_1101-2021_01_06_425544 87 12 2B 2B NNS 10_1101-2021_01_06_425544 87 13 ) ) -RRB- 10_1101-2021_01_06_425544 87 14 . . . 10_1101-2021_01_06_425544 88 1 The the DT 10_1101-2021_01_06_425544 88 2 univariate univariate JJ 10_1101-2021_01_06_425544 88 3 analysis analysis NN 10_1101-2021_01_06_425544 88 4 of of IN 10_1101-2021_01_06_425544 88 5 the the DT 10_1101-2021_01_06_425544 88 6 time time NN 10_1101-2021_01_06_425544 88 7 course course NN 10_1101-2021_01_06_425544 88 8 for for IN 10_1101-2021_01_06_425544 88 9 the the DT 10_1101-2021_01_06_425544 88 10 countries country NNS 10_1101-2021_01_06_425544 88 11 under under IN 10_1101-2021_01_06_425544 88 12 study study NN 10_1101-2021_01_06_425544 88 13 shows show VBZ 10_1101-2021_01_06_425544 88 14 prominence prominence NN 10_1101-2021_01_06_425544 88 15 of of IN 10_1101-2021_01_06_425544 88 16 the the DT 10_1101-2021_01_06_425544 88 17 recent recent JJ 10_1101-2021_01_06_425544 88 18 upswing upswing NN 10_1101-2021_01_06_425544 88 19 in in IN 10_1101-2021_01_06_425544 88 20 France France NNP 10_1101-2021_01_06_425544 88 21 ( ( -LRB- 10_1101-2021_01_06_425544 88 22 heat heat NN 10_1101-2021_01_06_425544 88 23 intensity intensity NN 10_1101-2021_01_06_425544 88 24 on on IN 10_1101-2021_01_06_425544 88 25 the the DT 10_1101-2021_01_06_425544 88 26 right right JJ 10_1101-2021_01_06_425544 88 27 margin margin NN 10_1101-2021_01_06_425544 88 28 of of IN 10_1101-2021_01_06_425544 88 29 the the DT 10_1101-2021_01_06_425544 88 30 graph graph NN 10_1101-2021_01_06_425544 88 31 ) ) -RRB- 10_1101-2021_01_06_425544 88 32 . . . 10_1101-2021_01_06_425544 89 1 By by IN 10_1101-2021_01_06_425544 89 2 contrast contrast NN 10_1101-2021_01_06_425544 89 3 , , , 10_1101-2021_01_06_425544 89 4 there there EX 10_1101-2021_01_06_425544 89 5 is be VBZ 10_1101-2021_01_06_425544 89 6 comparatively comparatively RB 10_1101-2021_01_06_425544 89 7 more more RBR 10_1101-2021_01_06_425544 89 8 successful successful JJ 10_1101-2021_01_06_425544 89 9 management management NN 10_1101-2021_01_06_425544 89 10 by by IN 10_1101-2021_01_06_425544 89 11 Italy Italy NNP 10_1101-2021_01_06_425544 89 12 , , , 10_1101-2021_01_06_425544 89 13 Germany Germany NNP 10_1101-2021_01_06_425544 89 14 , , , 10_1101-2021_01_06_425544 89 15 Poland Poland NNP 10_1101-2021_01_06_425544 89 16 and and CC 10_1101-2021_01_06_425544 89 17 South South NNP 10_1101-2021_01_06_425544 89 18 Korea Korea NNP 10_1101-2021_01_06_425544 89 19 through through IN 10_1101-2021_01_06_425544 89 20 October October NNP 10_1101-2021_01_06_425544 89 21 2020 2020 CD 10_1101-2021_01_06_425544 89 22 . . . 10_1101-2021_01_06_425544 90 1 India India NNP 10_1101-2021_01_06_425544 90 2 , , , 10_1101-2021_01_06_425544 90 3 Brazil Brazil NNP 10_1101-2021_01_06_425544 90 4 , , , 10_1101-2021_01_06_425544 90 5 Sweden Sweden NNP 10_1101-2021_01_06_425544 90 6 , , , 10_1101-2021_01_06_425544 90 7 and and CC 10_1101-2021_01_06_425544 90 8 the the DT 10_1101-2021_01_06_425544 90 9 United United NNP 10_1101-2021_01_06_425544 90 10 States States NNP 10_1101-2021_01_06_425544 90 11 display display VBP 10_1101-2021_01_06_425544 90 12 cyclical cyclical JJ 10_1101-2021_01_06_425544 90 13 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 90 14 of of IN 10_1101-2021_01_06_425544 90 15 various various JJ 10_1101-2021_01_06_425544 90 16 durations duration NNS 10_1101-2021_01_06_425544 90 17 , , , 10_1101-2021_01_06_425544 90 18 none none NN 10_1101-2021_01_06_425544 90 19 of of IN 10_1101-2021_01_06_425544 90 20 which which WDT 10_1101-2021_01_06_425544 90 21 have have VBP 10_1101-2021_01_06_425544 90 22 been be VBN 10_1101-2021_01_06_425544 90 23 contained contain VBN 10_1101-2021_01_06_425544 90 24 . . . 10_1101-2021_01_06_425544 91 1 A a DT 10_1101-2021_01_06_425544 91 2 period period NN 10_1101-2021_01_06_425544 91 3 of of IN 10_1101-2021_01_06_425544 91 4 7 7 CD 10_1101-2021_01_06_425544 91 5 days day NNS 10_1101-2021_01_06_425544 91 6 is be VBZ 10_1101-2021_01_06_425544 91 7 prominent prominent JJ 10_1101-2021_01_06_425544 91 8 in in IN 10_1101-2021_01_06_425544 91 9 the the DT 10_1101-2021_01_06_425544 91 10 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 91 11 of of IN 10_1101-2021_01_06_425544 91 12 most most JJS 10_1101-2021_01_06_425544 91 13 countries country NNS 10_1101-2021_01_06_425544 91 14 , , , 10_1101-2021_01_06_425544 91 15 which which WDT 10_1101-2021_01_06_425544 91 16 may may MD 10_1101-2021_01_06_425544 91 17 reflect reflect VB 10_1101-2021_01_06_425544 91 18 real real JJ 10_1101-2021_01_06_425544 91 19 cyclicity cyclicity NN 10_1101-2021_01_06_425544 91 20 or or CC 10_1101-2021_01_06_425544 91 21 weekly weekly JJ 10_1101-2021_01_06_425544 91 22 reporting reporting NN 10_1101-2021_01_06_425544 91 23 habits habit NNS 10_1101-2021_01_06_425544 91 24 . . . 10_1101-2021_01_06_425544 92 1 The the DT 10_1101-2021_01_06_425544 92 2 worldwide worldwide JJ 10_1101-2021_01_06_425544 92 3 data datum NNS 10_1101-2021_01_06_425544 92 4 are be VBP 10_1101-2021_01_06_425544 92 5 displayed display VBN 10_1101-2021_01_06_425544 92 6 in in IN 10_1101-2021_01_06_425544 92 7 Figure Figure NNP 10_1101-2021_01_06_425544 92 8 S1 S1 NNS 10_1101-2021_01_06_425544 92 9 . . . 10_1101-2021_01_06_425544 93 1 For for IN 10_1101-2021_01_06_425544 93 2 cross cross JJ 10_1101-2021_01_06_425544 93 3 - - JJ 10_1101-2021_01_06_425544 93 4 country country JJ 10_1101-2021_01_06_425544 93 5 comparisons comparison NNS 10_1101-2021_01_06_425544 93 6 , , , 10_1101-2021_01_06_425544 93 7 we -PRON- PRP 10_1101-2021_01_06_425544 93 8 converted convert VBD 10_1101-2021_01_06_425544 93 9 the the DT 10_1101-2021_01_06_425544 93 10 new new JJ 10_1101-2021_01_06_425544 93 11 infection infection NN 10_1101-2021_01_06_425544 93 12 total total JJ 10_1101-2021_01_06_425544 93 13 numbers number NNS 10_1101-2021_01_06_425544 93 14 to to IN 10_1101-2021_01_06_425544 93 15 new new JJ 10_1101-2021_01_06_425544 93 16 infection infection NN 10_1101-2021_01_06_425544 93 17 rates rate NNS 10_1101-2021_01_06_425544 93 18 by by IN 10_1101-2021_01_06_425544 93 19 relating relate VBG 10_1101-2021_01_06_425544 93 20 them -PRON- PRP 10_1101-2021_01_06_425544 93 21 to to IN 10_1101-2021_01_06_425544 93 22 10,000 10,000 CD 10_1101-2021_01_06_425544 93 23 members member NNS 10_1101-2021_01_06_425544 93 24 of of IN 10_1101-2021_01_06_425544 93 25 the the DT 10_1101-2021_01_06_425544 93 26 population population NN 10_1101-2021_01_06_425544 93 27 ( ( -LRB- 10_1101-2021_01_06_425544 93 28 Figure Figure NNP 10_1101-2021_01_06_425544 93 29 3A 3A NNP 10_1101-2021_01_06_425544 93 30 ) ) -RRB- 10_1101-2021_01_06_425544 93 31 . . . 10_1101-2021_01_06_425544 94 1 Similarly similarly RB 10_1101-2021_01_06_425544 94 2 , , , 10_1101-2021_01_06_425544 94 3 complex complex JJ 10_1101-2021_01_06_425544 94 4 systems system NNS 10_1101-2021_01_06_425544 94 5 can can MD 10_1101-2021_01_06_425544 94 6 be be VB 10_1101-2021_01_06_425544 94 7 analyzed analyze VBN 10_1101-2021_01_06_425544 94 8 with with IN 10_1101-2021_01_06_425544 94 9 Fourier Fourier NNP 10_1101-2021_01_06_425544 94 10 analysis analysis NN 10_1101-2021_01_06_425544 94 11 . . . 10_1101-2021_01_06_425544 95 1 We -PRON- PRP 10_1101-2021_01_06_425544 95 2 first first RB 10_1101-2021_01_06_425544 95 3 plotted plot VBD 10_1101-2021_01_06_425544 95 4 Fourier Fourier NNP 10_1101-2021_01_06_425544 95 5 power power NN 10_1101-2021_01_06_425544 95 6 spectra spectra NN 10_1101-2021_01_06_425544 95 7 versus versus IN 10_1101-2021_01_06_425544 95 8 frequency frequency NN 10_1101-2021_01_06_425544 95 9 for for IN 10_1101-2021_01_06_425544 95 10 the the DT 10_1101-2021_01_06_425544 95 11 rates rate NNS 10_1101-2021_01_06_425544 95 12 of of IN 10_1101-2021_01_06_425544 95 13 new new JJ 10_1101-2021_01_06_425544 95 14 infections infection NNS 10_1101-2021_01_06_425544 95 15 ( ( -LRB- 10_1101-2021_01_06_425544 95 16 Figure Figure NNP 10_1101-2021_01_06_425544 95 17 3B 3b NN 10_1101-2021_01_06_425544 95 18 ) ) -RRB- 10_1101-2021_01_06_425544 95 19 . . . 10_1101-2021_01_06_425544 96 1 Spectral spectral JJ 10_1101-2021_01_06_425544 96 2 density density NN 10_1101-2021_01_06_425544 96 3 range range NN 10_1101-2021_01_06_425544 96 4 ( ( -LRB- 10_1101-2021_01_06_425544 96 5 high high RB 10_1101-2021_01_06_425544 96 6 in in IN 10_1101-2021_01_06_425544 96 7 Brazil Brazil NNP 10_1101-2021_01_06_425544 96 8 , , , 10_1101-2021_01_06_425544 96 9 low low JJ 10_1101-2021_01_06_425544 96 10 in in IN 10_1101-2021_01_06_425544 96 11 South South NNP 10_1101-2021_01_06_425544 96 12 Korea Korea NNP 10_1101-2021_01_06_425544 96 13 ) ) -RRB- 10_1101-2021_01_06_425544 96 14 and and CC 10_1101-2021_01_06_425544 96 15 frequency frequency NN 10_1101-2021_01_06_425544 96 16 distribution distribution NN 10_1101-2021_01_06_425544 96 17 provide provide VBP 10_1101-2021_01_06_425544 96 18 a a DT 10_1101-2021_01_06_425544 96 19 readout readout NN 10_1101-2021_01_06_425544 96 20 for for IN 10_1101-2021_01_06_425544 96 21 infectious infectious JJ 10_1101-2021_01_06_425544 96 22 spread spread NN 10_1101-2021_01_06_425544 96 23 . . . 10_1101-2021_01_06_425544 97 1 The the DT 10_1101-2021_01_06_425544 97 2 spectral spectral JJ 10_1101-2021_01_06_425544 97 3 density density NN 10_1101-2021_01_06_425544 97 4 of of IN 10_1101-2021_01_06_425544 97 5 the the DT 10_1101-2021_01_06_425544 97 6 normalized normalized JJ 10_1101-2021_01_06_425544 97 7 rates rate NNS 10_1101-2021_01_06_425544 97 8 ( ( -LRB- 10_1101-2021_01_06_425544 97 9 identically identically RB 10_1101-2021_01_06_425544 97 10 scaled scale VBN 10_1101-2021_01_06_425544 97 11 y y NNP 10_1101-2021_01_06_425544 97 12 - - HYPH 10_1101-2021_01_06_425544 97 13 axes axes NNP 10_1101-2021_01_06_425544 97 14 ) ) -RRB- 10_1101-2021_01_06_425544 97 15 ( ( -LRB- 10_1101-2021_01_06_425544 97 16 Figure figure NN 10_1101-2021_01_06_425544 97 17 3C 3c NN 10_1101-2021_01_06_425544 97 18 ) ) -RRB- 10_1101-2021_01_06_425544 97 19 confirmed confirm VBD 10_1101-2021_01_06_425544 97 20 good good JJ 10_1101-2021_01_06_425544 97 21 management management NN 10_1101-2021_01_06_425544 97 22 of of IN 10_1101-2021_01_06_425544 97 23 the the DT 10_1101-2021_01_06_425544 97 24 pandemic pandemic JJ 10_1101-2021_01_06_425544 97 25 spread spread NN 10_1101-2021_01_06_425544 97 26 in in IN 10_1101-2021_01_06_425544 97 27 Germany Germany NNP 10_1101-2021_01_06_425544 97 28 , , , 10_1101-2021_01_06_425544 97 29 Poland Poland NNP 10_1101-2021_01_06_425544 97 30 , , , 10_1101-2021_01_06_425544 97 31 and and CC 10_1101-2021_01_06_425544 97 32 South South NNP 10_1101-2021_01_06_425544 97 33 Korea Korea NNP 10_1101-2021_01_06_425544 97 34 ( ( -LRB- 10_1101-2021_01_06_425544 97 35 and and CC 10_1101-2021_01_06_425544 97 36 to to IN 10_1101-2021_01_06_425544 97 37 some some DT 10_1101-2021_01_06_425544 97 38 degree degree NN 10_1101-2021_01_06_425544 97 39 in in IN 10_1101-2021_01_06_425544 97 40 Italy Italy NNP 10_1101-2021_01_06_425544 97 41 ) ) -RRB- 10_1101-2021_01_06_425544 97 42 . . . 10_1101-2021_01_06_425544 98 1 Despite despite IN 10_1101-2021_01_06_425544 98 2 the the DT 10_1101-2021_01_06_425544 98 3 progressive progressive JJ 10_1101-2021_01_06_425544 98 4 increase increase NN 10_1101-2021_01_06_425544 98 5 in in IN 10_1101-2021_01_06_425544 98 6 the the DT 10_1101-2021_01_06_425544 98 7 numbers number NNS 10_1101-2021_01_06_425544 98 8 of of IN 10_1101-2021_01_06_425544 98 9 infections infection NNS 10_1101-2021_01_06_425544 98 10 in in IN 10_1101-2021_01_06_425544 98 11 India India NNP 10_1101-2021_01_06_425544 98 12 , , , 10_1101-2021_01_06_425544 98 13 on on IN 10_1101-2021_01_06_425544 98 14 a a DT 10_1101-2021_01_06_425544 98 15 population population NN 10_1101-2021_01_06_425544 98 16 basis basis NN 10_1101-2021_01_06_425544 98 17 , , , 10_1101-2021_01_06_425544 98 18 control control NN 10_1101-2021_01_06_425544 98 19 has have VBZ 10_1101-2021_01_06_425544 98 20 apparently apparently RB 10_1101-2021_01_06_425544 98 21 not not RB 10_1101-2021_01_06_425544 98 22 been be VBN 10_1101-2021_01_06_425544 98 23 lost lose VBN 10_1101-2021_01_06_425544 98 24 through through IN 10_1101-2021_01_06_425544 98 25 October October NNP 10_1101-2021_01_06_425544 98 26 2020 2020 CD 10_1101-2021_01_06_425544 98 27 . . . 10_1101-2021_01_06_425544 99 1 By by IN 10_1101-2021_01_06_425544 99 2 contrast contrast NN 10_1101-2021_01_06_425544 99 3 , , , 10_1101-2021_01_06_425544 99 4 the the DT 10_1101-2021_01_06_425544 99 5 power power NN 10_1101-2021_01_06_425544 99 6 spectra spectra NN 10_1101-2021_01_06_425544 99 7 for for IN 10_1101-2021_01_06_425544 99 8 Brazil Brazil NNP 10_1101-2021_01_06_425544 99 9 , , , 10_1101-2021_01_06_425544 99 10 Sweden Sweden NNP 10_1101-2021_01_06_425544 99 11 , , , 10_1101-2021_01_06_425544 99 12 and and CC 10_1101-2021_01_06_425544 99 13 France France NNP 10_1101-2021_01_06_425544 99 14 are be VBP 10_1101-2021_01_06_425544 99 15 reflective reflective JJ 10_1101-2021_01_06_425544 99 16 of of IN 10_1101-2021_01_06_425544 99 17 potentially potentially RB 10_1101-2021_01_06_425544 99 18 adverse adverse JJ 10_1101-2021_01_06_425544 99 19 developments development NNS 10_1101-2021_01_06_425544 99 20 . . . 10_1101-2021_01_06_425544 100 1 The the DT 10_1101-2021_01_06_425544 100 2 United United NNP 10_1101-2021_01_06_425544 100 3 States States NNP 10_1101-2021_01_06_425544 100 4 display display VBP 10_1101-2021_01_06_425544 100 5 an an DT 10_1101-2021_01_06_425544 100 6 anomaly anomaly NN 10_1101-2021_01_06_425544 100 7 with with IN 10_1101-2021_01_06_425544 100 8 a a DT 10_1101-2021_01_06_425544 100 9 periodic periodic JJ 10_1101-2021_01_06_425544 100 10 behavior behavior NN 10_1101-2021_01_06_425544 100 11 that that WDT 10_1101-2021_01_06_425544 100 12 has have VBZ 10_1101-2021_01_06_425544 100 13 a a DT 10_1101-2021_01_06_425544 100 14 prominent prominent JJ 10_1101-2021_01_06_425544 100 15 cycle cycle NN 10_1101-2021_01_06_425544 100 16 around around IN 10_1101-2021_01_06_425544 100 17 100 100 CD 10_1101-2021_01_06_425544 100 18 days day NNS 10_1101-2021_01_06_425544 100 19 . . . 10_1101-2021_01_06_425544 101 1 .CC .CC NFP 10_1101-2021_01_06_425544 101 2 - - : 10_1101-2021_01_06_425544 101 3 BY by IN 10_1101-2021_01_06_425544 101 4 4.0 4.0 CD 10_1101-2021_01_06_425544 101 5 International International NNP 10_1101-2021_01_06_425544 101 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 101 7 under under IN 10_1101-2021_01_06_425544 101 8 a a DT 10_1101-2021_01_06_425544 101 9 ( ( -LRB- 10_1101-2021_01_06_425544 101 10 which which WDT 10_1101-2021_01_06_425544 101 11 was be VBD 10_1101-2021_01_06_425544 101 12 not not RB 10_1101-2021_01_06_425544 101 13 certified certify VBN 10_1101-2021_01_06_425544 101 14 by by IN 10_1101-2021_01_06_425544 101 15 peer peer NN 10_1101-2021_01_06_425544 101 16 review review NN 10_1101-2021_01_06_425544 101 17 ) ) -RRB- 10_1101-2021_01_06_425544 101 18 is be VBZ 10_1101-2021_01_06_425544 101 19 the the DT 10_1101-2021_01_06_425544 101 20 author author NN 10_1101-2021_01_06_425544 101 21 / / SYM 10_1101-2021_01_06_425544 101 22 funder funder NN 10_1101-2021_01_06_425544 101 23 , , , 10_1101-2021_01_06_425544 101 24 who who WP 10_1101-2021_01_06_425544 101 25 has have VBZ 10_1101-2021_01_06_425544 101 26 granted grant VBN 10_1101-2021_01_06_425544 101 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 101 28 a a DT 10_1101-2021_01_06_425544 101 29 license license NN 10_1101-2021_01_06_425544 101 30 to to TO 10_1101-2021_01_06_425544 101 31 display display VB 10_1101-2021_01_06_425544 101 32 the the DT 10_1101-2021_01_06_425544 101 33 preprint preprint NN 10_1101-2021_01_06_425544 101 34 in in IN 10_1101-2021_01_06_425544 101 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 101 36 . . . 10_1101-2021_01_06_425544 102 1 It -PRON- PRP 10_1101-2021_01_06_425544 102 2 is be VBZ 10_1101-2021_01_06_425544 102 3 made make VBN 10_1101-2021_01_06_425544 102 4 The the DT 10_1101-2021_01_06_425544 102 5 copyright copyright NN 10_1101-2021_01_06_425544 102 6 holder holder NN 10_1101-2021_01_06_425544 102 7 for for IN 10_1101-2021_01_06_425544 102 8 this this DT 10_1101-2021_01_06_425544 102 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 102 10 version version NN 10_1101-2021_01_06_425544 102 11 posted post VBD 10_1101-2021_01_06_425544 102 12 January January NNP 10_1101-2021_01_06_425544 102 13 6 6 CD 10_1101-2021_01_06_425544 102 14 , , , 10_1101-2021_01_06_425544 102 15 2021 2021 CD 10_1101-2021_01_06_425544 102 16 . . . 10_1101-2021_01_06_425544 102 17 ; ; : 10_1101-2021_01_06_425544 102 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 102 19 : : : 10_1101-2021_01_06_425544 102 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 102 21 preprint preprint NN 10_1101-2021_01_06_425544 102 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 102 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 102 24 To to TO 10_1101-2021_01_06_425544 102 25 gain gain VB 10_1101-2021_01_06_425544 102 26 a a DT 10_1101-2021_01_06_425544 102 27 better well JJR 10_1101-2021_01_06_425544 102 28 understanding understanding NN 10_1101-2021_01_06_425544 102 29 of of IN 10_1101-2021_01_06_425544 102 30 the the DT 10_1101-2021_01_06_425544 102 31 dynamics dynamic NNS 10_1101-2021_01_06_425544 102 32 , , , 10_1101-2021_01_06_425544 102 33 with with IN 10_1101-2021_01_06_425544 102 34 which which WDT 10_1101-2021_01_06_425544 102 35 disease disease NN 10_1101-2021_01_06_425544 102 36 spread spread NN 10_1101-2021_01_06_425544 102 37 occurs occur VBZ 10_1101-2021_01_06_425544 102 38 , , , 10_1101-2021_01_06_425544 102 39 we -PRON- PRP 10_1101-2021_01_06_425544 102 40 investigated investigate VBD 10_1101-2021_01_06_425544 102 41 progressive progressive JJ 10_1101-2021_01_06_425544 102 42 numbers number NNS 10_1101-2021_01_06_425544 102 43 of of IN 10_1101-2021_01_06_425544 102 44 new new JJ 10_1101-2021_01_06_425544 102 45 infections infection NNS 10_1101-2021_01_06_425544 102 46 in in IN 10_1101-2021_01_06_425544 102 47 comparison comparison NN 10_1101-2021_01_06_425544 102 48 to to IN 10_1101-2021_01_06_425544 102 49 their -PRON- PRP$ 10_1101-2021_01_06_425544 102 50 increasing increase VBG 10_1101-2021_01_06_425544 102 51 time time NN 10_1101-2021_01_06_425544 102 52 lags lag NNS 10_1101-2021_01_06_425544 102 53 . . . 10_1101-2021_01_06_425544 103 1 This this DT 10_1101-2021_01_06_425544 103 2 approach approach NN 10_1101-2021_01_06_425544 103 3 may may MD 10_1101-2021_01_06_425544 103 4 reveal reveal VB 10_1101-2021_01_06_425544 103 5 periodicities periodicity NNS 10_1101-2021_01_06_425544 103 6 or or CC 10_1101-2021_01_06_425544 103 7 aid aid NN 10_1101-2021_01_06_425544 103 8 in in IN 10_1101-2021_01_06_425544 103 9 the the DT 10_1101-2021_01_06_425544 103 10 visualization visualization NN 10_1101-2021_01_06_425544 103 11 of of IN 10_1101-2021_01_06_425544 103 12 attractors attractor NNS 10_1101-2021_01_06_425544 103 13 . . . 10_1101-2021_01_06_425544 104 1 Expectedly expectedly RB 10_1101-2021_01_06_425544 104 2 , , , 10_1101-2021_01_06_425544 104 3 short short JJ 10_1101-2021_01_06_425544 104 4 time time NN 10_1101-2021_01_06_425544 104 5 delays delay NNS 10_1101-2021_01_06_425544 104 6 were be VBD 10_1101-2021_01_06_425544 104 7 associated associate VBN 10_1101-2021_01_06_425544 104 8 with with IN 10_1101-2021_01_06_425544 104 9 little little JJ 10_1101-2021_01_06_425544 104 10 change change NN 10_1101-2021_01_06_425544 104 11 . . . 10_1101-2021_01_06_425544 105 1 With with IN 10_1101-2021_01_06_425544 105 2 a a DT 10_1101-2021_01_06_425544 105 3 lag lag NN 10_1101-2021_01_06_425544 105 4 time time NN 10_1101-2021_01_06_425544 105 5 of of IN 10_1101-2021_01_06_425544 105 6 about about RB 10_1101-2021_01_06_425544 105 7 7 7 CD 10_1101-2021_01_06_425544 105 8 days day NNS 10_1101-2021_01_06_425544 105 9 onward onward RB 10_1101-2021_01_06_425544 105 10 , , , 10_1101-2021_01_06_425544 105 11 distinct distinct JJ 10_1101-2021_01_06_425544 105 12 patterns pattern NNS 10_1101-2021_01_06_425544 105 13 emerged emerge VBD 10_1101-2021_01_06_425544 105 14 among among IN 10_1101-2021_01_06_425544 105 15 countries country NNS 10_1101-2021_01_06_425544 105 16 . . . 10_1101-2021_01_06_425544 106 1 According accord VBG 10_1101-2021_01_06_425544 106 2 to to IN 10_1101-2021_01_06_425544 106 3 bivariate bivariate JJ 10_1101-2021_01_06_425544 106 4 wavelet wavelet NN 10_1101-2021_01_06_425544 106 5 analysis analysis NN 10_1101-2021_01_06_425544 106 6 for for IN 10_1101-2021_01_06_425544 106 7 time time NN 10_1101-2021_01_06_425544 106 8 - - HYPH 10_1101-2021_01_06_425544 106 9 delayed delay VBN 10_1101-2021_01_06_425544 106 10 data data NNP 10_1101-2021_01_06_425544 106 11 series series NN 10_1101-2021_01_06_425544 106 12 ( ( -LRB- 10_1101-2021_01_06_425544 106 13 including include VBG 10_1101-2021_01_06_425544 106 14 the the DT 10_1101-2021_01_06_425544 106 15 cross cross JJ 10_1101-2021_01_06_425544 106 16 - - JJ 10_1101-2021_01_06_425544 106 17 wavelet wavelet JJ 10_1101-2021_01_06_425544 106 18 power power NN 10_1101-2021_01_06_425544 106 19 plot plot NN 10_1101-2021_01_06_425544 106 20 , , , 10_1101-2021_01_06_425544 106 21 wavelet wavelet NN 10_1101-2021_01_06_425544 106 22 coherence coherence NN 10_1101-2021_01_06_425544 106 23 plot plot NN 10_1101-2021_01_06_425544 106 24 , , , 10_1101-2021_01_06_425544 106 25 average average JJ 10_1101-2021_01_06_425544 106 26 power power NN 10_1101-2021_01_06_425544 106 27 plot plot NN 10_1101-2021_01_06_425544 106 28 and and CC 10_1101-2021_01_06_425544 106 29 phase phase NN 10_1101-2021_01_06_425544 106 30 difference difference NN 10_1101-2021_01_06_425544 106 31 image image NN 10_1101-2021_01_06_425544 106 32 ) ) -RRB- 10_1101-2021_01_06_425544 106 33 , , , 10_1101-2021_01_06_425544 106 34 Italy Italy NNP 10_1101-2021_01_06_425544 106 35 , , , 10_1101-2021_01_06_425544 106 36 Germany Germany NNP 10_1101-2021_01_06_425544 106 37 and and CC 10_1101-2021_01_06_425544 106 38 South South NNP 10_1101-2021_01_06_425544 106 39 Korea Korea NNP 10_1101-2021_01_06_425544 106 40 shared share VBD 10_1101-2021_01_06_425544 106 41 significantly significantly RB 10_1101-2021_01_06_425544 106 42 joint joint JJ 10_1101-2021_01_06_425544 106 43 periods period NNS 10_1101-2021_01_06_425544 106 44 of of IN 10_1101-2021_01_06_425544 106 45 1- 1- NNP 10_1101-2021_01_06_425544 106 46 2 2 CD 10_1101-2021_01_06_425544 106 47 months month NNS 10_1101-2021_01_06_425544 106 48 in in IN 10_1101-2021_01_06_425544 106 49 the the DT 10_1101-2021_01_06_425544 106 50 comparison comparison NN 10_1101-2021_01_06_425544 106 51 x(t x(t NNP 10_1101-2021_01_06_425544 106 52 ) ) -RRB- 10_1101-2021_01_06_425544 106 53 versus versus IN 10_1101-2021_01_06_425544 106 54 x(t+7 x(t+7 NNP 10_1101-2021_01_06_425544 106 55 ) ) -RRB- 10_1101-2021_01_06_425544 106 56 . . . 10_1101-2021_01_06_425544 107 1 South South NNP 10_1101-2021_01_06_425544 107 2 Korea Korea NNP 10_1101-2021_01_06_425544 107 3 has have VBZ 10_1101-2021_01_06_425544 107 4 comparatively comparatively RB 10_1101-2021_01_06_425544 107 5 high high JJ 10_1101-2021_01_06_425544 107 6 power power NN 10_1101-2021_01_06_425544 107 7 and and CC 10_1101-2021_01_06_425544 107 8 significant significant JJ 10_1101-2021_01_06_425544 107 9 shared share VBN 10_1101-2021_01_06_425544 107 10 periods period NNS 10_1101-2021_01_06_425544 107 11 around around IN 10_1101-2021_01_06_425544 107 12 3 3 CD 10_1101-2021_01_06_425544 107 13 weeks week NNS 10_1101-2021_01_06_425544 107 14 at at IN 10_1101-2021_01_06_425544 107 15 the the DT 10_1101-2021_01_06_425544 107 16 early early JJ 10_1101-2021_01_06_425544 107 17 stage stage NN 10_1101-2021_01_06_425544 107 18 and and CC 10_1101-2021_01_06_425544 107 19 later later RB 10_1101-2021_01_06_425544 107 20 the the DT 10_1101-2021_01_06_425544 107 21 significant significant JJ 10_1101-2021_01_06_425544 107 22 shared share VBN 10_1101-2021_01_06_425544 107 23 periods period NNS 10_1101-2021_01_06_425544 107 24 are be VBP 10_1101-2021_01_06_425544 107 25 also also RB 10_1101-2021_01_06_425544 107 26 1 1 CD 10_1101-2021_01_06_425544 107 27 - - SYM 10_1101-2021_01_06_425544 107 28 2 2 CD 10_1101-2021_01_06_425544 107 29 months month NNS 10_1101-2021_01_06_425544 107 30 . . . 10_1101-2021_01_06_425544 108 1 The the DT 10_1101-2021_01_06_425544 108 2 remaining remain VBG 10_1101-2021_01_06_425544 108 3 countries country NNS 10_1101-2021_01_06_425544 108 4 all all DT 10_1101-2021_01_06_425544 108 5 have have VBP 10_1101-2021_01_06_425544 108 6 segments segment NNS 10_1101-2021_01_06_425544 108 7 of of IN 10_1101-2021_01_06_425544 108 8 shorter short JJR 10_1101-2021_01_06_425544 108 9 periods period NNS 10_1101-2021_01_06_425544 108 10 ( ( -LRB- 10_1101-2021_01_06_425544 108 11 around around RB 10_1101-2021_01_06_425544 108 12 7 7 CD 10_1101-2021_01_06_425544 108 13 days day NNS 10_1101-2021_01_06_425544 108 14 ) ) -RRB- 10_1101-2021_01_06_425544 108 15 and and CC 10_1101-2021_01_06_425544 108 16 longer long JJR 10_1101-2021_01_06_425544 108 17 periods period NNS 10_1101-2021_01_06_425544 108 18 shared share VBN 10_1101-2021_01_06_425544 108 19 . . . 10_1101-2021_01_06_425544 109 1 For for IN 10_1101-2021_01_06_425544 109 2 India India NNP 10_1101-2021_01_06_425544 109 3 , , , 10_1101-2021_01_06_425544 109 4 Brazil Brazil NNP 10_1101-2021_01_06_425544 109 5 , , , 10_1101-2021_01_06_425544 109 6 France France NNP 10_1101-2021_01_06_425544 109 7 , , , 10_1101-2021_01_06_425544 109 8 USA USA NNP 10_1101-2021_01_06_425544 109 9 and and CC 10_1101-2021_01_06_425544 109 10 Poland Poland NNP 10_1101-2021_01_06_425544 109 11 , , , 10_1101-2021_01_06_425544 109 12 the the DT 10_1101-2021_01_06_425544 109 13 shared share VBN 10_1101-2021_01_06_425544 109 14 7-day 7-day NNP 10_1101-2021_01_06_425544 109 15 period period NN 10_1101-2021_01_06_425544 109 16 only only RB 10_1101-2021_01_06_425544 109 17 appear appear VBP 10_1101-2021_01_06_425544 109 18 significant significant JJ 10_1101-2021_01_06_425544 109 19 in in IN 10_1101-2021_01_06_425544 109 20 the the DT 10_1101-2021_01_06_425544 109 21 later later JJ 10_1101-2021_01_06_425544 109 22 part part NN 10_1101-2021_01_06_425544 109 23 of of IN 10_1101-2021_01_06_425544 109 24 the the DT 10_1101-2021_01_06_425544 109 25 series series NN 10_1101-2021_01_06_425544 109 26 . . . 10_1101-2021_01_06_425544 110 1 Similar similar JJ 10_1101-2021_01_06_425544 110 2 results result NNS 10_1101-2021_01_06_425544 110 3 are be VBP 10_1101-2021_01_06_425544 110 4 observed observe VBN 10_1101-2021_01_06_425544 110 5 in in IN 10_1101-2021_01_06_425544 110 6 the the DT 10_1101-2021_01_06_425544 110 7 analyses analysis NNS 10_1101-2021_01_06_425544 110 8 for for IN 10_1101-2021_01_06_425544 110 9 x(t x(t NNP 10_1101-2021_01_06_425544 110 10 ) ) -RRB- 10_1101-2021_01_06_425544 110 11 versus versus IN 10_1101-2021_01_06_425544 110 12 x(t+14 x(t+14 ADD 10_1101-2021_01_06_425544 110 13 ) ) -RRB- 10_1101-2021_01_06_425544 110 14 and and CC 10_1101-2021_01_06_425544 110 15 x(t x(t NNP 10_1101-2021_01_06_425544 110 16 ) ) -RRB- 10_1101-2021_01_06_425544 110 17 versus versus IN 10_1101-2021_01_06_425544 110 18 x(t+21 x(t+21 NNP 10_1101-2021_01_06_425544 110 19 ) ) -RRB- 10_1101-2021_01_06_425544 110 20 . . . 10_1101-2021_01_06_425544 111 1 The the DT 10_1101-2021_01_06_425544 111 2 phase phase NN 10_1101-2021_01_06_425544 111 3 difference difference NN 10_1101-2021_01_06_425544 111 4 plots plot NNS 10_1101-2021_01_06_425544 111 5 show show VBP 10_1101-2021_01_06_425544 111 6 that that IN 10_1101-2021_01_06_425544 111 7 in in IN 10_1101-2021_01_06_425544 111 8 the the DT 10_1101-2021_01_06_425544 111 9 shared shared JJ 10_1101-2021_01_06_425544 111 10 longer long JJR 10_1101-2021_01_06_425544 111 11 periods period NNS 10_1101-2021_01_06_425544 111 12 , , , 10_1101-2021_01_06_425544 111 13 x(t x(t NNP 10_1101-2021_01_06_425544 111 14 ) ) -RRB- 10_1101-2021_01_06_425544 111 15 are be VBP 10_1101-2021_01_06_425544 111 16 mostly mostly RB 10_1101-2021_01_06_425544 111 17 in in IN 10_1101-2021_01_06_425544 111 18 phase phase NN 10_1101-2021_01_06_425544 111 19 with with IN 10_1101-2021_01_06_425544 111 20 x(t+7 x(t+7 NNP 10_1101-2021_01_06_425544 111 21 ) ) -RRB- 10_1101-2021_01_06_425544 111 22 , , , 10_1101-2021_01_06_425544 111 23 while while IN 10_1101-2021_01_06_425544 111 24 they -PRON- PRP 10_1101-2021_01_06_425544 111 25 gradually gradually RB 10_1101-2021_01_06_425544 111 26 become become VBP 10_1101-2021_01_06_425544 111 27 out out IN 10_1101-2021_01_06_425544 111 28 of of IN 10_1101-2021_01_06_425544 111 29 phase phase NN 10_1101-2021_01_06_425544 111 30 in in IN 10_1101-2021_01_06_425544 111 31 x(t x(t NNP 10_1101-2021_01_06_425544 111 32 ) ) -RRB- 10_1101-2021_01_06_425544 111 33 versus versus IN 10_1101-2021_01_06_425544 111 34 x(t+14 x(t+14 ADD 10_1101-2021_01_06_425544 111 35 ) ) -RRB- 10_1101-2021_01_06_425544 111 36 and and CC 10_1101-2021_01_06_425544 111 37 x(t x(t NNP 10_1101-2021_01_06_425544 111 38 ) ) -RRB- 10_1101-2021_01_06_425544 111 39 versus versus IN 10_1101-2021_01_06_425544 111 40 x(t+21 x(t+21 NNP 10_1101-2021_01_06_425544 111 41 ) ) -RRB- 10_1101-2021_01_06_425544 111 42 , , , 10_1101-2021_01_06_425544 111 43 thus thus RB 10_1101-2021_01_06_425544 111 44 making make VBG 10_1101-2021_01_06_425544 111 45 longer long JJR 10_1101-2021_01_06_425544 111 46 lags lag NNS 10_1101-2021_01_06_425544 111 47 more more RBR 10_1101-2021_01_06_425544 111 48 discriminating discriminate VBG 10_1101-2021_01_06_425544 111 49 and and CC 10_1101-2021_01_06_425544 111 50 informative informative JJ 10_1101-2021_01_06_425544 111 51 ( ( -LRB- 10_1101-2021_01_06_425544 111 52 Figure figure NN 10_1101-2021_01_06_425544 111 53 4A 4A NNS 10_1101-2021_01_06_425544 111 54 and and CC 10_1101-2021_01_06_425544 111 55 Figure figure NN 10_1101-2021_01_06_425544 111 56 S2A s2a NN 10_1101-2021_01_06_425544 111 57 , , , 10_1101-2021_01_06_425544 111 58 B b NN 10_1101-2021_01_06_425544 111 59 ) ) -RRB- 10_1101-2021_01_06_425544 111 60 . . . 10_1101-2021_01_06_425544 112 1 A a DT 10_1101-2021_01_06_425544 112 2 reduction reduction NN 10_1101-2021_01_06_425544 112 3 in in IN 10_1101-2021_01_06_425544 112 4 cross cross JJ 10_1101-2021_01_06_425544 112 5 - - JJ 10_1101-2021_01_06_425544 112 6 wavelet wavelet JJ 10_1101-2021_01_06_425544 112 7 power power NN 10_1101-2021_01_06_425544 112 8 levels level NNS 10_1101-2021_01_06_425544 112 9 is be VBZ 10_1101-2021_01_06_425544 112 10 apparent apparent JJ 10_1101-2021_01_06_425544 112 11 in in IN 10_1101-2021_01_06_425544 112 12 Italy Italy NNP 10_1101-2021_01_06_425544 112 13 , , , 10_1101-2021_01_06_425544 112 14 Germany Germany NNP 10_1101-2021_01_06_425544 112 15 and and CC 10_1101-2021_01_06_425544 112 16 South South NNP 10_1101-2021_01_06_425544 112 17 Korea Korea NNP 10_1101-2021_01_06_425544 112 18 . . . 10_1101-2021_01_06_425544 113 1 Poland Poland NNP 10_1101-2021_01_06_425544 113 2 and and CC 10_1101-2021_01_06_425544 113 3 France France NNP 10_1101-2021_01_06_425544 113 4 are be VBP 10_1101-2021_01_06_425544 113 5 experiencing experience VBG 10_1101-2021_01_06_425544 113 6 recent recent JJ 10_1101-2021_01_06_425544 113 7 increases increase NNS 10_1101-2021_01_06_425544 113 8 . . . 10_1101-2021_01_06_425544 114 1 India India NNP 10_1101-2021_01_06_425544 114 2 , , , 10_1101-2021_01_06_425544 114 3 Brazil Brazil NNP 10_1101-2021_01_06_425544 114 4 and and CC 10_1101-2021_01_06_425544 114 5 the the DT 10_1101-2021_01_06_425544 114 6 USA USA NNP 10_1101-2021_01_06_425544 114 7 have have VBP 10_1101-2021_01_06_425544 114 8 had have VBN 10_1101-2021_01_06_425544 114 9 protracted protract VBN 10_1101-2021_01_06_425544 114 10 periods period NNS 10_1101-2021_01_06_425544 114 11 of of IN 10_1101-2021_01_06_425544 114 12 high high JJ 10_1101-2021_01_06_425544 114 13 cross cross JJ 10_1101-2021_01_06_425544 114 14 - - JJ 10_1101-2021_01_06_425544 114 15 wavelet wavelet JJ 10_1101-2021_01_06_425544 114 16 power power NN 10_1101-2021_01_06_425544 114 17 levels level NNS 10_1101-2021_01_06_425544 114 18 . . . 10_1101-2021_01_06_425544 115 1 Containment containment NN 10_1101-2021_01_06_425544 115 2 is be VBZ 10_1101-2021_01_06_425544 115 3 associated associate VBN 10_1101-2021_01_06_425544 115 4 with with IN 10_1101-2021_01_06_425544 115 5 longer long JJR 10_1101-2021_01_06_425544 115 6 periodicity periodicity NN 10_1101-2021_01_06_425544 115 7 in in IN 10_1101-2021_01_06_425544 115 8 the the DT 10_1101-2021_01_06_425544 115 9 distribution distribution NN 10_1101-2021_01_06_425544 115 10 of of IN 10_1101-2021_01_06_425544 115 11 cross cross JJ 10_1101-2021_01_06_425544 115 12 - - JJ 10_1101-2021_01_06_425544 115 13 wavelet wavelet JJ 10_1101-2021_01_06_425544 115 14 power power NN 10_1101-2021_01_06_425544 115 15 . . . 10_1101-2021_01_06_425544 116 1 This this DT 10_1101-2021_01_06_425544 116 2 is be VBZ 10_1101-2021_01_06_425544 116 3 the the DT 10_1101-2021_01_06_425544 116 4 case case NN 10_1101-2021_01_06_425544 116 5 for for IN 10_1101-2021_01_06_425544 116 6 South South NNP 10_1101-2021_01_06_425544 116 7 Korea Korea NNP 10_1101-2021_01_06_425544 116 8 , , , 10_1101-2021_01_06_425544 116 9 Germany Germany NNP 10_1101-2021_01_06_425544 116 10 and and CC 10_1101-2021_01_06_425544 116 11 Italy Italy NNP 10_1101-2021_01_06_425544 116 12 . . . 10_1101-2021_01_06_425544 117 1 High high JJ 10_1101-2021_01_06_425544 117 2 cross cross JJ 10_1101-2021_01_06_425544 117 3 - - JJ 10_1101-2021_01_06_425544 117 4 wavelet wavelet JJ 10_1101-2021_01_06_425544 117 5 power power NN 10_1101-2021_01_06_425544 117 6 around around IN 10_1101-2021_01_06_425544 117 7 a a DT 10_1101-2021_01_06_425544 117 8 periodicity periodicity NN 10_1101-2021_01_06_425544 117 9 of of IN 10_1101-2021_01_06_425544 117 10 7 7 CD 10_1101-2021_01_06_425544 117 11 days day NNS 10_1101-2021_01_06_425544 117 12 is be VBZ 10_1101-2021_01_06_425544 117 13 reflective reflective JJ 10_1101-2021_01_06_425544 117 14 of of IN 10_1101-2021_01_06_425544 117 15 poor poor JJ 10_1101-2021_01_06_425544 117 16 control control NN 10_1101-2021_01_06_425544 117 17 . . . 10_1101-2021_01_06_425544 118 1 To to TO 10_1101-2021_01_06_425544 118 2 generate generate VB 10_1101-2021_01_06_425544 118 3 informative informative JJ 10_1101-2021_01_06_425544 118 4 return return NN 10_1101-2021_01_06_425544 118 5 plots plot NNS 10_1101-2021_01_06_425544 118 6 , , , 10_1101-2021_01_06_425544 118 7 we -PRON- PRP 10_1101-2021_01_06_425544 118 8 utilized utilize VBD 10_1101-2021_01_06_425544 118 9 3 3 CD 10_1101-2021_01_06_425544 118 10 dimensions dimension NNS 10_1101-2021_01_06_425544 118 11 , , , 10_1101-2021_01_06_425544 118 12 which which WDT 10_1101-2021_01_06_425544 118 13 allows allow VBZ 10_1101-2021_01_06_425544 118 14 for for IN 10_1101-2021_01_06_425544 118 15 the the DT 10_1101-2021_01_06_425544 118 16 visualization visualization NN 10_1101-2021_01_06_425544 118 17 of of IN 10_1101-2021_01_06_425544 118 18 two two CD 10_1101-2021_01_06_425544 118 19 lags lag NNS 10_1101-2021_01_06_425544 118 20 from from IN 10_1101-2021_01_06_425544 118 21 x(t x(t NNP 10_1101-2021_01_06_425544 118 22 ) ) -RRB- 10_1101-2021_01_06_425544 118 23 ( ( -LRB- 10_1101-2021_01_06_425544 118 24 or or CC 10_1101-2021_01_06_425544 118 25 a a DT 10_1101-2021_01_06_425544 118 26 from from IN 10_1101-2021_01_06_425544 118 27 a a DT 10_1101-2021_01_06_425544 118 28 later later JJ 10_1101-2021_01_06_425544 118 29 start start NN 10_1101-2021_01_06_425544 118 30 point point NN 10_1101-2021_01_06_425544 118 31 ) ) -RRB- 10_1101-2021_01_06_425544 118 32 and and CC 10_1101-2021_01_06_425544 118 33 may may MD 10_1101-2021_01_06_425544 118 34 reveal reveal VB 10_1101-2021_01_06_425544 118 35 the the DT 10_1101-2021_01_06_425544 118 36 pattern pattern NN 10_1101-2021_01_06_425544 118 37 of of IN 10_1101-2021_01_06_425544 118 38 an an DT 10_1101-2021_01_06_425544 118 39 attractor attractor NN 10_1101-2021_01_06_425544 118 40 . . . 10_1101-2021_01_06_425544 119 1 In in IN 10_1101-2021_01_06_425544 119 2 this this DT 10_1101-2021_01_06_425544 119 3 depiction depiction NN 10_1101-2021_01_06_425544 119 4 , , , 10_1101-2021_01_06_425544 119 5 a a DT 10_1101-2021_01_06_425544 119 6 rapid rapid JJ 10_1101-2021_01_06_425544 119 7 increase increase NN 10_1101-2021_01_06_425544 119 8 or or CC 10_1101-2021_01_06_425544 119 9 decrease decrease NN 10_1101-2021_01_06_425544 119 10 in in IN 10_1101-2021_01_06_425544 119 11 new new JJ 10_1101-2021_01_06_425544 119 12 infections infection NNS 10_1101-2021_01_06_425544 119 13 is be VBZ 10_1101-2021_01_06_425544 119 14 reflected reflect VBN 10_1101-2021_01_06_425544 119 15 in in IN 10_1101-2021_01_06_425544 119 16 a a DT 10_1101-2021_01_06_425544 119 17 close- close- NN 10_1101-2021_01_06_425544 119 18 to to IN 10_1101-2021_01_06_425544 119 19 straight straight JJ 10_1101-2021_01_06_425544 119 20 line line NN 10_1101-2021_01_06_425544 119 21 , , , 10_1101-2021_01_06_425544 119 22 oscillations oscillation NNS 10_1101-2021_01_06_425544 119 23 generate generate VBP 10_1101-2021_01_06_425544 119 24 a a DT 10_1101-2021_01_06_425544 119 25 near near JJ 10_1101-2021_01_06_425544 119 26 - - HYPH 10_1101-2021_01_06_425544 119 27 toroid toroid NN 10_1101-2021_01_06_425544 119 28 attractor attractor NN 10_1101-2021_01_06_425544 119 29 , , , 10_1101-2021_01_06_425544 119 30 while while IN 10_1101-2021_01_06_425544 119 31 successful successful JJ 10_1101-2021_01_06_425544 119 32 management management NN 10_1101-2021_01_06_425544 119 33 shrinks shrink NNS 10_1101-2021_01_06_425544 119 34 the the DT 10_1101-2021_01_06_425544 119 35 torus torus NNP 10_1101-2021_01_06_425544 119 36 and and CC 10_1101-2021_01_06_425544 119 37 moves move VBZ 10_1101-2021_01_06_425544 119 38 it -PRON- PRP 10_1101-2021_01_06_425544 119 39 closer close RBR 10_1101-2021_01_06_425544 119 40 to to IN 10_1101-2021_01_06_425544 119 41 the the DT 10_1101-2021_01_06_425544 119 42 origin origin NN 10_1101-2021_01_06_425544 119 43 . . . 10_1101-2021_01_06_425544 120 1 Initially initially RB 10_1101-2021_01_06_425544 120 2 , , , 10_1101-2021_01_06_425544 120 3 we -PRON- PRP 10_1101-2021_01_06_425544 120 4 evaluated evaluate VBD 10_1101-2021_01_06_425544 120 5 multiple multiple JJ 10_1101-2021_01_06_425544 120 6 time time NN 10_1101-2021_01_06_425544 120 7 delays delay NNS 10_1101-2021_01_06_425544 120 8 . . . 10_1101-2021_01_06_425544 121 1 Most most RBS 10_1101-2021_01_06_425544 121 2 discriminating discriminate VBG 10_1101-2021_01_06_425544 121 3 were be VBD 10_1101-2021_01_06_425544 121 4 x(t)/x(t+7)/x(t+14 x(t)/x(t+7)/x(t+14 NNP 10_1101-2021_01_06_425544 121 5 ) ) -RRB- 10_1101-2021_01_06_425544 121 6 , , , 10_1101-2021_01_06_425544 121 7 x(t+3)/x(t+7)/x(t+14 x(t+3)/x(t+7)/x(t+14 NNP 10_1101-2021_01_06_425544 121 8 ) ) -RRB- 10_1101-2021_01_06_425544 121 9 , , , 10_1101-2021_01_06_425544 121 10 and and CC 10_1101-2021_01_06_425544 121 11 x(t+5)/x(t+14)/x(t+28 x(t+5)/x(t+14)/x(t+28 NNP 10_1101-2021_01_06_425544 121 12 ) ) -RRB- 10_1101-2021_01_06_425544 121 13 ( ( -LRB- 10_1101-2021_01_06_425544 121 14 Figure figure NN 10_1101-2021_01_06_425544 121 15 4B 4b NN 10_1101-2021_01_06_425544 121 16 ) ) -RRB- 10_1101-2021_01_06_425544 121 17 . . . 10_1101-2021_01_06_425544 122 1 The the DT 10_1101-2021_01_06_425544 122 2 progressive progressive JJ 10_1101-2021_01_06_425544 122 3 increase increase NN 10_1101-2021_01_06_425544 122 4 in in IN 10_1101-2021_01_06_425544 122 5 new new JJ 10_1101-2021_01_06_425544 122 6 cases case NNS 10_1101-2021_01_06_425544 122 7 over over IN 10_1101-2021_01_06_425544 122 8 the the DT 10_1101-2021_01_06_425544 122 9 time time NN 10_1101-2021_01_06_425544 122 10 period period NN 10_1101-2021_01_06_425544 122 11 in in IN 10_1101-2021_01_06_425544 122 12 India India NNP 10_1101-2021_01_06_425544 122 13 is be VBZ 10_1101-2021_01_06_425544 122 14 reflected reflect VBN 10_1101-2021_01_06_425544 122 15 in in IN 10_1101-2021_01_06_425544 122 16 a a DT 10_1101-2021_01_06_425544 122 17 predominantly predominantly RB 10_1101-2021_01_06_425544 122 18 linear linear JJ 10_1101-2021_01_06_425544 122 19 curve curve NN 10_1101-2021_01_06_425544 122 20 on on IN 10_1101-2021_01_06_425544 122 21 each each DT 10_1101-2021_01_06_425544 122 22 scale scale NN 10_1101-2021_01_06_425544 122 23 . . . 10_1101-2021_01_06_425544 123 1 The the DT 10_1101-2021_01_06_425544 123 2 wide wide JJ 10_1101-2021_01_06_425544 123 3 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 123 4 in in IN 10_1101-2021_01_06_425544 123 5 Brazil Brazil NNP 10_1101-2021_01_06_425544 123 6 generate generate VB 10_1101-2021_01_06_425544 123 7 a a DT 10_1101-2021_01_06_425544 123 8 largely largely RB 10_1101-2021_01_06_425544 123 9 disordered disorder VBN 10_1101-2021_01_06_425544 123 10 appearance appearance NN 10_1101-2021_01_06_425544 123 11 . . . 10_1101-2021_01_06_425544 124 1 Disorder disorder NN 10_1101-2021_01_06_425544 124 2 is be VBZ 10_1101-2021_01_06_425544 124 3 also also RB 10_1101-2021_01_06_425544 124 4 apparent apparent JJ 10_1101-2021_01_06_425544 124 5 in in IN 10_1101-2021_01_06_425544 124 6 Sweden Sweden NNP 10_1101-2021_01_06_425544 124 7 . . . 10_1101-2021_01_06_425544 125 1 France France NNP 10_1101-2021_01_06_425544 125 2 initially initially RB 10_1101-2021_01_06_425544 125 3 managed manage VBD 10_1101-2021_01_06_425544 125 4 the the DT 10_1101-2021_01_06_425544 125 5 pandemic pandemic NN 10_1101-2021_01_06_425544 125 6 well well RB 10_1101-2021_01_06_425544 125 7 , , , 10_1101-2021_01_06_425544 125 8 but but CC 10_1101-2021_01_06_425544 125 9 is be VBZ 10_1101-2021_01_06_425544 125 10 experiencing experience VBG 10_1101-2021_01_06_425544 125 11 a a DT 10_1101-2021_01_06_425544 125 12 dramatic dramatic JJ 10_1101-2021_01_06_425544 125 13 upswing upswing NN 10_1101-2021_01_06_425544 125 14 , , , 10_1101-2021_01_06_425544 125 15 which which WDT 10_1101-2021_01_06_425544 125 16 obscures obscure VBZ 10_1101-2021_01_06_425544 125 17 order order NN 10_1101-2021_01_06_425544 125 18 . . . 10_1101-2021_01_06_425544 126 1 Cyclical cyclical JJ 10_1101-2021_01_06_425544 126 2 patterns pattern NNS 10_1101-2021_01_06_425544 126 3 , , , 10_1101-2021_01_06_425544 126 4 suggesting suggest VBG 10_1101-2021_01_06_425544 126 5 the the DT 10_1101-2021_01_06_425544 126 6 outlines outline NNS 10_1101-2021_01_06_425544 126 7 of of IN 10_1101-2021_01_06_425544 126 8 attractors attractor NNS 10_1101-2021_01_06_425544 126 9 , , , 10_1101-2021_01_06_425544 126 10 are be VBP 10_1101-2021_01_06_425544 126 11 apparent apparent JJ 10_1101-2021_01_06_425544 126 12 in in IN 10_1101-2021_01_06_425544 126 13 USA USA NNP 10_1101-2021_01_06_425544 126 14 , , , 10_1101-2021_01_06_425544 126 15 Italy Italy NNP 10_1101-2021_01_06_425544 126 16 , , , 10_1101-2021_01_06_425544 126 17 Germany Germany NNP 10_1101-2021_01_06_425544 126 18 , , , 10_1101-2021_01_06_425544 126 19 and and CC 10_1101-2021_01_06_425544 126 20 South South NNP 10_1101-2021_01_06_425544 126 21 Korea Korea NNP 10_1101-2021_01_06_425544 126 22 ( ( -LRB- 10_1101-2021_01_06_425544 126 23 where where WRB 10_1101-2021_01_06_425544 126 24 most most JJS 10_1101-2021_01_06_425544 126 25 data data NN 10_1101-2021_01_06_425544 126 26 points point NNS 10_1101-2021_01_06_425544 126 27 are be VBP 10_1101-2021_01_06_425544 126 28 concentrated concentrate VBN 10_1101-2021_01_06_425544 126 29 near near IN 10_1101-2021_01_06_425544 126 30 the the DT 10_1101-2021_01_06_425544 126 31 origin origin NN 10_1101-2021_01_06_425544 126 32 ) ) -RRB- 10_1101-2021_01_06_425544 126 33 . . . 10_1101-2021_01_06_425544 127 1 Poland Poland NNP 10_1101-2021_01_06_425544 127 2 initially initially RB 10_1101-2021_01_06_425544 127 3 displayed display VBD 10_1101-2021_01_06_425544 127 4 a a DT 10_1101-2021_01_06_425544 127 5 well- well- XX 10_1101-2021_01_06_425544 127 6 .CC .CC NFP 10_1101-2021_01_06_425544 127 7 - - : 10_1101-2021_01_06_425544 127 8 BY by IN 10_1101-2021_01_06_425544 127 9 4.0 4.0 CD 10_1101-2021_01_06_425544 127 10 International International NNP 10_1101-2021_01_06_425544 127 11 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 127 12 under under IN 10_1101-2021_01_06_425544 127 13 a a DT 10_1101-2021_01_06_425544 127 14 ( ( -LRB- 10_1101-2021_01_06_425544 127 15 which which WDT 10_1101-2021_01_06_425544 127 16 was be VBD 10_1101-2021_01_06_425544 127 17 not not RB 10_1101-2021_01_06_425544 127 18 certified certify VBN 10_1101-2021_01_06_425544 127 19 by by IN 10_1101-2021_01_06_425544 127 20 peer peer NN 10_1101-2021_01_06_425544 127 21 review review NN 10_1101-2021_01_06_425544 127 22 ) ) -RRB- 10_1101-2021_01_06_425544 127 23 is be VBZ 10_1101-2021_01_06_425544 127 24 the the DT 10_1101-2021_01_06_425544 127 25 author author NN 10_1101-2021_01_06_425544 127 26 / / SYM 10_1101-2021_01_06_425544 127 27 funder funder NN 10_1101-2021_01_06_425544 127 28 , , , 10_1101-2021_01_06_425544 127 29 who who WP 10_1101-2021_01_06_425544 127 30 has have VBZ 10_1101-2021_01_06_425544 127 31 granted grant VBN 10_1101-2021_01_06_425544 127 32 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 127 33 a a DT 10_1101-2021_01_06_425544 127 34 license license NN 10_1101-2021_01_06_425544 127 35 to to TO 10_1101-2021_01_06_425544 127 36 display display VB 10_1101-2021_01_06_425544 127 37 the the DT 10_1101-2021_01_06_425544 127 38 preprint preprint NN 10_1101-2021_01_06_425544 127 39 in in IN 10_1101-2021_01_06_425544 127 40 perpetuity perpetuity NN 10_1101-2021_01_06_425544 127 41 . . . 10_1101-2021_01_06_425544 128 1 It -PRON- PRP 10_1101-2021_01_06_425544 128 2 is be VBZ 10_1101-2021_01_06_425544 128 3 made make VBN 10_1101-2021_01_06_425544 128 4 The the DT 10_1101-2021_01_06_425544 128 5 copyright copyright NN 10_1101-2021_01_06_425544 128 6 holder holder NN 10_1101-2021_01_06_425544 128 7 for for IN 10_1101-2021_01_06_425544 128 8 this this DT 10_1101-2021_01_06_425544 128 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 128 10 version version NN 10_1101-2021_01_06_425544 128 11 posted post VBD 10_1101-2021_01_06_425544 128 12 January January NNP 10_1101-2021_01_06_425544 128 13 6 6 CD 10_1101-2021_01_06_425544 128 14 , , , 10_1101-2021_01_06_425544 128 15 2021 2021 CD 10_1101-2021_01_06_425544 128 16 . . . 10_1101-2021_01_06_425544 128 17 ; ; : 10_1101-2021_01_06_425544 128 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 128 19 : : : 10_1101-2021_01_06_425544 128 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 128 21 preprint preprint NN 10_1101-2021_01_06_425544 128 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 128 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 128 24 contained contain VBN 10_1101-2021_01_06_425544 128 25 attractor attractor NN 10_1101-2021_01_06_425544 128 26 , , , 10_1101-2021_01_06_425544 128 27 but but CC 10_1101-2021_01_06_425544 128 28 the the DT 10_1101-2021_01_06_425544 128 29 recent recent JJ 10_1101-2021_01_06_425544 128 30 substantial substantial JJ 10_1101-2021_01_06_425544 128 31 upswing upswing NN 10_1101-2021_01_06_425544 128 32 in in IN 10_1101-2021_01_06_425544 128 33 new new JJ 10_1101-2021_01_06_425544 128 34 infections infection NNS 10_1101-2021_01_06_425544 128 35 is be VBZ 10_1101-2021_01_06_425544 128 36 reflected reflect VBN 10_1101-2021_01_06_425544 128 37 in in IN 10_1101-2021_01_06_425544 128 38 a a DT 10_1101-2021_01_06_425544 128 39 linear linear JJ 10_1101-2021_01_06_425544 128 40 progression progression NN 10_1101-2021_01_06_425544 128 41 from from IN 10_1101-2021_01_06_425544 128 42 there there RB 10_1101-2021_01_06_425544 128 43 ( ( -LRB- 10_1101-2021_01_06_425544 128 44 for for IN 10_1101-2021_01_06_425544 128 45 separate separate JJ 10_1101-2021_01_06_425544 128 46 analyses analysis NNS 10_1101-2021_01_06_425544 128 47 of of IN 10_1101-2021_01_06_425544 128 48 the the DT 10_1101-2021_01_06_425544 128 49 two two CD 10_1101-2021_01_06_425544 128 50 phases phase NNS 10_1101-2021_01_06_425544 128 51 , , , 10_1101-2021_01_06_425544 128 52 see see VB 10_1101-2021_01_06_425544 128 53 Figure Figure NNP 10_1101-2021_01_06_425544 128 54 S3 S3 NNP 10_1101-2021_01_06_425544 128 55 ) ) -RRB- 10_1101-2021_01_06_425544 128 56 . . . 10_1101-2021_01_06_425544 129 1 We -PRON- PRP 10_1101-2021_01_06_425544 129 2 also also RB 10_1101-2021_01_06_425544 129 3 calculated calculate VBD 10_1101-2021_01_06_425544 129 4 the the DT 10_1101-2021_01_06_425544 129 5 embedding embedding NN 10_1101-2021_01_06_425544 129 6 dimensions dimension NNS 10_1101-2021_01_06_425544 129 7 for for IN 10_1101-2021_01_06_425544 129 8 the the DT 10_1101-2021_01_06_425544 129 9 lagged lag VBN 10_1101-2021_01_06_425544 129 10 data datum NNS 10_1101-2021_01_06_425544 129 11 ( ( -LRB- 10_1101-2021_01_06_425544 129 12 Figure figure NN 10_1101-2021_01_06_425544 129 13 4C 4c NN 10_1101-2021_01_06_425544 129 14 ) ) -RRB- 10_1101-2021_01_06_425544 129 15 . . . 10_1101-2021_01_06_425544 130 1 Germany Germany NNP 10_1101-2021_01_06_425544 130 2 has have VBZ 10_1101-2021_01_06_425544 130 3 the the DT 10_1101-2021_01_06_425544 130 4 highest high JJS 10_1101-2021_01_06_425544 130 5 embedding embedding NN 10_1101-2021_01_06_425544 130 6 dimension dimension NN 10_1101-2021_01_06_425544 130 7 of of IN 10_1101-2021_01_06_425544 130 8 10 10 CD 10_1101-2021_01_06_425544 130 9 , , , 10_1101-2021_01_06_425544 130 10 followed follow VBN 10_1101-2021_01_06_425544 130 11 by by IN 10_1101-2021_01_06_425544 130 12 Poland Poland NNP 10_1101-2021_01_06_425544 130 13 with with IN 10_1101-2021_01_06_425544 130 14 9 9 CD 10_1101-2021_01_06_425544 130 15 . . . 10_1101-2021_01_06_425544 131 1 Several several JJ 10_1101-2021_01_06_425544 131 2 countries country NNS 10_1101-2021_01_06_425544 131 3 have have VBP 10_1101-2021_01_06_425544 131 4 an an DT 10_1101-2021_01_06_425544 131 5 embedding embedding NN 10_1101-2021_01_06_425544 131 6 dimension dimension NN 10_1101-2021_01_06_425544 131 7 of of IN 10_1101-2021_01_06_425544 131 8 7 7 CD 10_1101-2021_01_06_425544 131 9 , , , 10_1101-2021_01_06_425544 131 10 including include VBG 10_1101-2021_01_06_425544 131 11 Brazil Brazil NNP 10_1101-2021_01_06_425544 131 12 , , , 10_1101-2021_01_06_425544 131 13 Sweden Sweden NNP 10_1101-2021_01_06_425544 131 14 , , , 10_1101-2021_01_06_425544 131 15 USA USA NNP 10_1101-2021_01_06_425544 131 16 and and CC 10_1101-2021_01_06_425544 131 17 South South NNP 10_1101-2021_01_06_425544 131 18 Korea Korea NNP 10_1101-2021_01_06_425544 131 19 . . . 10_1101-2021_01_06_425544 132 1 Italy Italy NNP 10_1101-2021_01_06_425544 132 2 and and CC 10_1101-2021_01_06_425544 132 3 France France NNP 10_1101-2021_01_06_425544 132 4 have have VBP 10_1101-2021_01_06_425544 132 5 the the DT 10_1101-2021_01_06_425544 132 6 embedding embedding NN 10_1101-2021_01_06_425544 132 7 dimension dimension NN 10_1101-2021_01_06_425544 132 8 equal equal JJ 10_1101-2021_01_06_425544 132 9 to to IN 10_1101-2021_01_06_425544 132 10 5 5 CD 10_1101-2021_01_06_425544 132 11 . . . 10_1101-2021_01_06_425544 133 1 India India NNP 10_1101-2021_01_06_425544 133 2 is be VBZ 10_1101-2021_01_06_425544 133 3 unusual unusual JJ 10_1101-2021_01_06_425544 133 4 due due IN 10_1101-2021_01_06_425544 133 5 to to IN 10_1101-2021_01_06_425544 133 6 its -PRON- PRP$ 10_1101-2021_01_06_425544 133 7 longer long JJR 10_1101-2021_01_06_425544 133 8 lag lag NN 10_1101-2021_01_06_425544 133 9 period period NN 10_1101-2021_01_06_425544 133 10 of of IN 10_1101-2021_01_06_425544 133 11 24 24 CD 10_1101-2021_01_06_425544 133 12 days day NNS 10_1101-2021_01_06_425544 133 13 . . . 10_1101-2021_01_06_425544 134 1 When when WRB 10_1101-2021_01_06_425544 134 2 the the DT 10_1101-2021_01_06_425544 134 3 lag lag NN 10_1101-2021_01_06_425544 134 4 period period NN 10_1101-2021_01_06_425544 134 5 is be VBZ 10_1101-2021_01_06_425544 134 6 set set VBN 10_1101-2021_01_06_425544 134 7 at at IN 10_1101-2021_01_06_425544 134 8 7 7 CD 10_1101-2021_01_06_425544 134 9 days day NNS 10_1101-2021_01_06_425544 134 10 , , , 10_1101-2021_01_06_425544 134 11 the the DT 10_1101-2021_01_06_425544 134 12 embedding embedding NN 10_1101-2021_01_06_425544 134 13 dimension dimension NN 10_1101-2021_01_06_425544 134 14 of of IN 10_1101-2021_01_06_425544 134 15 India India NNP 10_1101-2021_01_06_425544 134 16 is be VBZ 10_1101-2021_01_06_425544 134 17 also also RB 10_1101-2021_01_06_425544 134 18 equal equal JJ 10_1101-2021_01_06_425544 134 19 to to IN 10_1101-2021_01_06_425544 134 20 7 7 CD 10_1101-2021_01_06_425544 134 21 . . . 10_1101-2021_01_06_425544 135 1 For for IN 10_1101-2021_01_06_425544 135 2 the the DT 10_1101-2021_01_06_425544 135 3 worldwide worldwide JJ 10_1101-2021_01_06_425544 135 4 data datum NNS 10_1101-2021_01_06_425544 135 5 , , , 10_1101-2021_01_06_425544 135 6 the the DT 10_1101-2021_01_06_425544 135 7 calculated calculate VBN 10_1101-2021_01_06_425544 135 8 embedding embed VBG 10_1101-2021_01_06_425544 135 9 dimension dimension NN 10_1101-2021_01_06_425544 135 10 is be VBZ 10_1101-2021_01_06_425544 135 11 7 7 CD 10_1101-2021_01_06_425544 135 12 with with IN 10_1101-2021_01_06_425544 135 13 a a DT 10_1101-2021_01_06_425544 135 14 time time NN 10_1101-2021_01_06_425544 135 15 lag lag NN 10_1101-2021_01_06_425544 135 16 of of IN 10_1101-2021_01_06_425544 135 17 1 1 CD 10_1101-2021_01_06_425544 135 18 ( ( -LRB- 10_1101-2021_01_06_425544 135 19 not not RB 10_1101-2021_01_06_425544 135 20 shown show VBN 10_1101-2021_01_06_425544 135 21 ) ) -RRB- 10_1101-2021_01_06_425544 135 22 . . . 10_1101-2021_01_06_425544 136 1 The the DT 10_1101-2021_01_06_425544 136 2 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 136 3 of of IN 10_1101-2021_01_06_425544 136 4 two two CD 10_1101-2021_01_06_425544 136 5 data datum NNS 10_1101-2021_01_06_425544 136 6 strings string NNS 10_1101-2021_01_06_425544 136 7 with with IN 10_1101-2021_01_06_425544 136 8 short short JJ 10_1101-2021_01_06_425544 136 9 time time NN 10_1101-2021_01_06_425544 136 10 lags lag NNS 10_1101-2021_01_06_425544 136 11 is be VBZ 10_1101-2021_01_06_425544 136 12 expected expect VBN 10_1101-2021_01_06_425544 136 13 to to TO 10_1101-2021_01_06_425544 136 14 be be VB 10_1101-2021_01_06_425544 136 15 high high JJ 10_1101-2021_01_06_425544 136 16 ( ( -LRB- 10_1101-2021_01_06_425544 136 17 approaching approach VBG 10_1101-2021_01_06_425544 136 18 1.0 1.0 CD 10_1101-2021_01_06_425544 136 19 ) ) -RRB- 10_1101-2021_01_06_425544 136 20 because because IN 10_1101-2021_01_06_425544 136 21 there there EX 10_1101-2021_01_06_425544 136 22 is be VBZ 10_1101-2021_01_06_425544 136 23 little little JJ 10_1101-2021_01_06_425544 136 24 opportunity opportunity NN 10_1101-2021_01_06_425544 136 25 for for IN 10_1101-2021_01_06_425544 136 26 dramatic dramatic JJ 10_1101-2021_01_06_425544 136 27 change change NN 10_1101-2021_01_06_425544 136 28 ( ( -LRB- 10_1101-2021_01_06_425544 136 29 high high JJ 10_1101-2021_01_06_425544 136 30 infection infection NN 10_1101-2021_01_06_425544 136 31 rates rate NNS 10_1101-2021_01_06_425544 136 32 on on IN 10_1101-2021_01_06_425544 136 33 day day NN 10_1101-2021_01_06_425544 136 34 t t NN 10_1101-2021_01_06_425544 136 35 likely likely JJ 10_1101-2021_01_06_425544 136 36 produce produce VBP 10_1101-2021_01_06_425544 136 37 similarly similarly RB 10_1101-2021_01_06_425544 136 38 high high JJ 10_1101-2021_01_06_425544 136 39 numbers number NNS 10_1101-2021_01_06_425544 136 40 on on IN 10_1101-2021_01_06_425544 136 41 the the DT 10_1101-2021_01_06_425544 136 42 consecutive consecutive JJ 10_1101-2021_01_06_425544 136 43 day day NN 10_1101-2021_01_06_425544 136 44 t+1 t+1 NN 10_1101-2021_01_06_425544 136 45 , , , 10_1101-2021_01_06_425544 136 46 while while IN 10_1101-2021_01_06_425544 136 47 low low JJ 10_1101-2021_01_06_425544 136 48 numbers number NNS 10_1101-2021_01_06_425544 136 49 are be VBP 10_1101-2021_01_06_425544 136 50 followed follow VBN 10_1101-2021_01_06_425544 136 51 by by IN 10_1101-2021_01_06_425544 136 52 few few JJ 10_1101-2021_01_06_425544 136 53 new new JJ 10_1101-2021_01_06_425544 136 54 infections infection NNS 10_1101-2021_01_06_425544 136 55 on on IN 10_1101-2021_01_06_425544 136 56 the the DT 10_1101-2021_01_06_425544 136 57 next next JJ 10_1101-2021_01_06_425544 136 58 day day NN 10_1101-2021_01_06_425544 136 59 ) ) -RRB- 10_1101-2021_01_06_425544 136 60 . . . 10_1101-2021_01_06_425544 137 1 Autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 137 2 may may MD 10_1101-2021_01_06_425544 137 3 remain remain VB 10_1101-2021_01_06_425544 137 4 high high JJ 10_1101-2021_01_06_425544 137 5 for for IN 10_1101-2021_01_06_425544 137 6 extended extended JJ 10_1101-2021_01_06_425544 137 7 lags lag NNS 10_1101-2021_01_06_425544 137 8 in in IN 10_1101-2021_01_06_425544 137 9 the the DT 10_1101-2021_01_06_425544 137 10 initial initial JJ 10_1101-2021_01_06_425544 137 11 ramp ramp NN 10_1101-2021_01_06_425544 137 12 - - HYPH 10_1101-2021_01_06_425544 137 13 up up NN 10_1101-2021_01_06_425544 137 14 and and CC 10_1101-2021_01_06_425544 137 15 at at IN 10_1101-2021_01_06_425544 137 16 the the DT 10_1101-2021_01_06_425544 137 17 oscillatory oscillatory JJ 10_1101-2021_01_06_425544 137 18 stage stage NN 10_1101-2021_01_06_425544 137 19 , , , 10_1101-2021_01_06_425544 137 20 depending depend VBG 10_1101-2021_01_06_425544 137 21 on on IN 10_1101-2021_01_06_425544 137 22 the the DT 10_1101-2021_01_06_425544 137 23 regularity regularity NN 10_1101-2021_01_06_425544 137 24 of of IN 10_1101-2021_01_06_425544 137 25 the the DT 10_1101-2021_01_06_425544 137 26 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 137 27 . . . 10_1101-2021_01_06_425544 138 1 A a DT 10_1101-2021_01_06_425544 138 2 society society NN 10_1101-2021_01_06_425544 138 3 that that WDT 10_1101-2021_01_06_425544 138 4 succeeds succeed VBZ 10_1101-2021_01_06_425544 138 5 in in IN 10_1101-2021_01_06_425544 138 6 curbing curb VBG 10_1101-2021_01_06_425544 138 7 the the DT 10_1101-2021_01_06_425544 138 8 disease disease NN 10_1101-2021_01_06_425544 138 9 spread spread NN 10_1101-2021_01_06_425544 138 10 will will MD 10_1101-2021_01_06_425544 138 11 leave leave VB 10_1101-2021_01_06_425544 138 12 the the DT 10_1101-2021_01_06_425544 138 13 highly highly RB 10_1101-2021_01_06_425544 138 14 correlated correlate VBN 10_1101-2021_01_06_425544 138 15 initial initial JJ 10_1101-2021_01_06_425544 138 16 ramp ramp NN 10_1101-2021_01_06_425544 138 17 - - HYPH 10_1101-2021_01_06_425544 138 18 up up RP 10_1101-2021_01_06_425544 138 19 and and CC 10_1101-2021_01_06_425544 138 20 consecutive consecutive JJ 10_1101-2021_01_06_425544 138 21 oscillatory oscillatory JJ 10_1101-2021_01_06_425544 138 22 phases phase NNS 10_1101-2021_01_06_425544 138 23 , , , 10_1101-2021_01_06_425544 138 24 thus thus RB 10_1101-2021_01_06_425544 138 25 displaying display VBG 10_1101-2021_01_06_425544 138 26 a a DT 10_1101-2021_01_06_425544 138 27 gradual gradual JJ 10_1101-2021_01_06_425544 138 28 decrease decrease NN 10_1101-2021_01_06_425544 138 29 in in IN 10_1101-2021_01_06_425544 138 30 values value NNS 10_1101-2021_01_06_425544 138 31 at at IN 10_1101-2021_01_06_425544 138 32 the the DT 10_1101-2021_01_06_425544 138 33 longer long JJR 10_1101-2021_01_06_425544 138 34 lags lag NNS 10_1101-2021_01_06_425544 138 35 . . . 10_1101-2021_01_06_425544 139 1 The the DT 10_1101-2021_01_06_425544 139 2 decline decline NN 10_1101-2021_01_06_425544 139 3 in in IN 10_1101-2021_01_06_425544 139 4 the the DT 10_1101-2021_01_06_425544 139 5 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 139 6 numbers number NNS 10_1101-2021_01_06_425544 139 7 of of IN 10_1101-2021_01_06_425544 139 8 progressively progressively RB 10_1101-2021_01_06_425544 139 9 lagged lag VBN 10_1101-2021_01_06_425544 139 10 data datum NNS 10_1101-2021_01_06_425544 139 11 by by IN 10_1101-2021_01_06_425544 139 12 country country NN 10_1101-2021_01_06_425544 139 13 appeared appear VBD 10_1101-2021_01_06_425544 139 14 to to TO 10_1101-2021_01_06_425544 139 15 be be VB 10_1101-2021_01_06_425544 139 16 reflective reflective JJ 10_1101-2021_01_06_425544 139 17 of of IN 10_1101-2021_01_06_425544 139 18 the the DT 10_1101-2021_01_06_425544 139 19 stringency stringency NN 10_1101-2021_01_06_425544 139 20 , , , 10_1101-2021_01_06_425544 139 21 with with IN 10_1101-2021_01_06_425544 139 22 which which WDT 10_1101-2021_01_06_425544 139 23 the the DT 10_1101-2021_01_06_425544 139 24 pandemic pandemic NN 10_1101-2021_01_06_425544 139 25 was be VBD 10_1101-2021_01_06_425544 139 26 addressed address VBN 10_1101-2021_01_06_425544 139 27 ( ( -LRB- 10_1101-2021_01_06_425544 139 28 Figure figure NN 10_1101-2021_01_06_425544 139 29 5A 5a RB 10_1101-2021_01_06_425544 139 30 ) ) -RRB- 10_1101-2021_01_06_425544 139 31 . . . 10_1101-2021_01_06_425544 140 1 From from IN 10_1101-2021_01_06_425544 140 2 a a DT 10_1101-2021_01_06_425544 140 3 lag lag NN 10_1101-2021_01_06_425544 140 4 of of IN 10_1101-2021_01_06_425544 140 5 6 6 CD 10_1101-2021_01_06_425544 140 6 onward onward RB 10_1101-2021_01_06_425544 140 7 , , , 10_1101-2021_01_06_425544 140 8 Poland Poland NNP 10_1101-2021_01_06_425544 140 9 and and CC 10_1101-2021_01_06_425544 140 10 South South NNP 10_1101-2021_01_06_425544 140 11 Korea Korea NNP 10_1101-2021_01_06_425544 140 12 have have VBP 10_1101-2021_01_06_425544 140 13 substantially substantially RB 10_1101-2021_01_06_425544 140 14 declining decline VBG 10_1101-2021_01_06_425544 140 15 values value NNS 10_1101-2021_01_06_425544 140 16 ( ( -LRB- 10_1101-2021_01_06_425544 140 17 although although IN 10_1101-2021_01_06_425544 140 18 due due IN 10_1101-2021_01_06_425544 140 19 to to IN 10_1101-2021_01_06_425544 140 20 the the DT 10_1101-2021_01_06_425544 140 21 recent recent JJ 10_1101-2021_01_06_425544 140 22 steep steep JJ 10_1101-2021_01_06_425544 140 23 upswing upswing NN 10_1101-2021_01_06_425544 140 24 in in IN 10_1101-2021_01_06_425544 140 25 new new JJ 10_1101-2021_01_06_425544 140 26 infections infection NNS 10_1101-2021_01_06_425544 140 27 , , , 10_1101-2021_01_06_425544 140 28 Poland Poland NNP 10_1101-2021_01_06_425544 140 29 deviates deviate VBZ 10_1101-2021_01_06_425544 140 30 from from IN 10_1101-2021_01_06_425544 140 31 the the DT 10_1101-2021_01_06_425544 140 32 trend trend NN 10_1101-2021_01_06_425544 140 33 at at IN 10_1101-2021_01_06_425544 140 34 very very RB 10_1101-2021_01_06_425544 140 35 long long JJ 10_1101-2021_01_06_425544 140 36 lags lag NNS 10_1101-2021_01_06_425544 140 37 ) ) -RRB- 10_1101-2021_01_06_425544 140 38 , , , 10_1101-2021_01_06_425544 140 39 Germany Germany NNP 10_1101-2021_01_06_425544 140 40 shows show VBZ 10_1101-2021_01_06_425544 140 41 a a DT 10_1101-2021_01_06_425544 140 42 dramatic dramatic JJ 10_1101-2021_01_06_425544 140 43 lowering lowering NN 10_1101-2021_01_06_425544 140 44 at at IN 10_1101-2021_01_06_425544 140 45 a a DT 10_1101-2021_01_06_425544 140 46 lag lag NN 10_1101-2021_01_06_425544 140 47 of of IN 10_1101-2021_01_06_425544 140 48 21 21 CD 10_1101-2021_01_06_425544 140 49 and and CC 10_1101-2021_01_06_425544 140 50 above above RB 10_1101-2021_01_06_425544 140 51 . . . 10_1101-2021_01_06_425544 141 1 By by IN 10_1101-2021_01_06_425544 141 2 contrast contrast NN 10_1101-2021_01_06_425544 141 3 , , , 10_1101-2021_01_06_425544 141 4 India India NNP 10_1101-2021_01_06_425544 141 5 and and CC 10_1101-2021_01_06_425544 141 6 Brazil Brazil NNP 10_1101-2021_01_06_425544 141 7 stay stay VBP 10_1101-2021_01_06_425544 141 8 uniformly uniformly RB 10_1101-2021_01_06_425544 141 9 high high JJ 10_1101-2021_01_06_425544 141 10 . . . 10_1101-2021_01_06_425544 142 1 So so RB 10_1101-2021_01_06_425544 142 2 do do VB 10_1101-2021_01_06_425544 142 3 the the DT 10_1101-2021_01_06_425544 142 4 global global JJ 10_1101-2021_01_06_425544 142 5 numbers number NNS 10_1101-2021_01_06_425544 142 6 , , , 10_1101-2021_01_06_425544 142 7 which which WDT 10_1101-2021_01_06_425544 142 8 are be VBP 10_1101-2021_01_06_425544 142 9 inherently inherently RB 10_1101-2021_01_06_425544 142 10 heterogeneous heterogeneous JJ 10_1101-2021_01_06_425544 142 11 . . . 10_1101-2021_01_06_425544 143 1 The the DT 10_1101-2021_01_06_425544 143 2 average average JJ 10_1101-2021_01_06_425544 143 3 mutual mutual JJ 10_1101-2021_01_06_425544 143 4 information information NN 10_1101-2021_01_06_425544 143 5 reflects reflect VBZ 10_1101-2021_01_06_425544 143 6 information information NN 10_1101-2021_01_06_425544 143 7 shared share VBN 10_1101-2021_01_06_425544 143 8 by by IN 10_1101-2021_01_06_425544 143 9 the the DT 10_1101-2021_01_06_425544 143 10 measurements measurement NNS 10_1101-2021_01_06_425544 143 11 of of IN 10_1101-2021_01_06_425544 143 12 x(t x(t NNP 10_1101-2021_01_06_425544 143 13 ) ) -RRB- 10_1101-2021_01_06_425544 143 14 and and CC 10_1101-2021_01_06_425544 143 15 x(t+n x(t+n NNP 10_1101-2021_01_06_425544 143 16 ) ) -RRB- 10_1101-2021_01_06_425544 143 17 . . . 10_1101-2021_01_06_425544 144 1 Expectedly expectedly RB 10_1101-2021_01_06_425544 144 2 , , , 10_1101-2021_01_06_425544 144 3 it -PRON- PRP 10_1101-2021_01_06_425544 144 4 declines decline VBZ 10_1101-2021_01_06_425544 144 5 with with IN 10_1101-2021_01_06_425544 144 6 increasing increase VBG 10_1101-2021_01_06_425544 144 7 lag lag NN 10_1101-2021_01_06_425544 144 8 . . . 10_1101-2021_01_06_425544 145 1 Poland Poland NNP 10_1101-2021_01_06_425544 145 2 starts start VBZ 10_1101-2021_01_06_425544 145 3 with with IN 10_1101-2021_01_06_425544 145 4 a a DT 10_1101-2021_01_06_425544 145 5 relatively relatively RB 10_1101-2021_01_06_425544 145 6 low low JJ 10_1101-2021_01_06_425544 145 7 value value NN 10_1101-2021_01_06_425544 145 8 ( ( -LRB- 10_1101-2021_01_06_425544 145 9 1.15 1.15 CD 10_1101-2021_01_06_425544 145 10 at at IN 10_1101-2021_01_06_425544 145 11 t t NN 10_1101-2021_01_06_425544 145 12 versus versus IN 10_1101-2021_01_06_425544 145 13 t+1 t+1 NN 10_1101-2021_01_06_425544 145 14 ) ) -RRB- 10_1101-2021_01_06_425544 145 15 and and CC 10_1101-2021_01_06_425544 145 16 shows show VBZ 10_1101-2021_01_06_425544 145 17 a a DT 10_1101-2021_01_06_425544 145 18 rapid rapid JJ 10_1101-2021_01_06_425544 145 19 decrease decrease NN 10_1101-2021_01_06_425544 145 20 with with IN 10_1101-2021_01_06_425544 145 21 longer long JJR 10_1101-2021_01_06_425544 145 22 lag lag NN 10_1101-2021_01_06_425544 145 23 . . . 10_1101-2021_01_06_425544 146 1 It -PRON- PRP 10_1101-2021_01_06_425544 146 2 then then RB 10_1101-2021_01_06_425544 146 3 stays stay VBZ 10_1101-2021_01_06_425544 146 4 around around RB 10_1101-2021_01_06_425544 146 5 at at IN 10_1101-2021_01_06_425544 146 6 a a DT 10_1101-2021_01_06_425544 146 7 low low JJ 10_1101-2021_01_06_425544 146 8 level level NN 10_1101-2021_01_06_425544 146 9 of of IN 10_1101-2021_01_06_425544 146 10 0.15 0.15 CD 10_1101-2021_01_06_425544 146 11 from from IN 10_1101-2021_01_06_425544 146 12 lags lag NNS 10_1101-2021_01_06_425544 146 13 of of IN 10_1101-2021_01_06_425544 146 14 21 21 CD 10_1101-2021_01_06_425544 146 15 to to TO 10_1101-2021_01_06_425544 146 16 49 49 CD 10_1101-2021_01_06_425544 146 17 days day NNS 10_1101-2021_01_06_425544 146 18 . . . 10_1101-2021_01_06_425544 147 1 France France NNP 10_1101-2021_01_06_425544 147 2 displays display VBZ 10_1101-2021_01_06_425544 147 3 a a DT 10_1101-2021_01_06_425544 147 4 gradually gradually RB 10_1101-2021_01_06_425544 147 5 decreasing decrease VBG 10_1101-2021_01_06_425544 147 6 trend trend NN 10_1101-2021_01_06_425544 147 7 with with IN 10_1101-2021_01_06_425544 147 8 the the DT 10_1101-2021_01_06_425544 147 9 average average JJ 10_1101-2021_01_06_425544 147 10 mutual mutual JJ 10_1101-2021_01_06_425544 147 11 information information NN 10_1101-2021_01_06_425544 147 12 starting start VBG 10_1101-2021_01_06_425544 147 13 at at IN 10_1101-2021_01_06_425544 147 14 1.60 1.60 CD 10_1101-2021_01_06_425544 147 15 and and CC 10_1101-2021_01_06_425544 147 16 ending end VBG 10_1101-2021_01_06_425544 147 17 at at IN 10_1101-2021_01_06_425544 147 18 0.34 0.34 CD 10_1101-2021_01_06_425544 147 19 at at IN 10_1101-2021_01_06_425544 147 20 the the DT 10_1101-2021_01_06_425544 147 21 lag lag NN 10_1101-2021_01_06_425544 147 22 of of IN 10_1101-2021_01_06_425544 147 23 49 49 CD 10_1101-2021_01_06_425544 147 24 days day NNS 10_1101-2021_01_06_425544 147 25 . . . 10_1101-2021_01_06_425544 148 1 India India NNP 10_1101-2021_01_06_425544 148 2 shows show VBZ 10_1101-2021_01_06_425544 148 3 a a DT 10_1101-2021_01_06_425544 148 4 similar similar JJ 10_1101-2021_01_06_425544 148 5 pattern pattern NN 10_1101-2021_01_06_425544 148 6 as as IN 10_1101-2021_01_06_425544 148 7 France France NNP 10_1101-2021_01_06_425544 148 8 but but CC 10_1101-2021_01_06_425544 148 9 with with IN 10_1101-2021_01_06_425544 148 10 much much RB 10_1101-2021_01_06_425544 148 11 higher high JJR 10_1101-2021_01_06_425544 148 12 average average JJ 10_1101-2021_01_06_425544 148 13 mutual mutual JJ 10_1101-2021_01_06_425544 148 14 information information NN 10_1101-2021_01_06_425544 148 15 ( ( -LRB- 10_1101-2021_01_06_425544 148 16 due due IN 10_1101-2021_01_06_425544 148 17 to to IN 10_1101-2021_01_06_425544 148 18 the the DT 10_1101-2021_01_06_425544 148 19 constant constant JJ 10_1101-2021_01_06_425544 148 20 uptick uptick NN 10_1101-2021_01_06_425544 148 21 in in IN 10_1101-2021_01_06_425544 148 22 numbers number NNS 10_1101-2021_01_06_425544 148 23 ) ) -RRB- 10_1101-2021_01_06_425544 148 24 , , , 10_1101-2021_01_06_425544 148 25 ranging range VBG 10_1101-2021_01_06_425544 148 26 between between IN 10_1101-2021_01_06_425544 148 27 2.61 2.61 CD 10_1101-2021_01_06_425544 148 28 and and CC 10_1101-2021_01_06_425544 148 29 1.37 1.37 CD 10_1101-2021_01_06_425544 148 30 . . . 10_1101-2021_01_06_425544 149 1 Four four CD 10_1101-2021_01_06_425544 149 2 other other JJ 10_1101-2021_01_06_425544 149 3 countries country NNS 10_1101-2021_01_06_425544 149 4 , , , 10_1101-2021_01_06_425544 149 5 including include VBG 10_1101-2021_01_06_425544 149 6 Germany Germany NNP 10_1101-2021_01_06_425544 149 7 , , , 10_1101-2021_01_06_425544 149 8 USA USA NNP 10_1101-2021_01_06_425544 149 9 , , , 10_1101-2021_01_06_425544 149 10 Sweden Sweden NNP 10_1101-2021_01_06_425544 149 11 and and CC 10_1101-2021_01_06_425544 149 12 Brazil Brazil NNP 10_1101-2021_01_06_425544 149 13 , , , 10_1101-2021_01_06_425544 149 14 all all DT 10_1101-2021_01_06_425544 149 15 express express VBP 10_1101-2021_01_06_425544 149 16 relatively relatively RB 10_1101-2021_01_06_425544 149 17 flat flat JJ 10_1101-2021_01_06_425544 149 18 average average JJ 10_1101-2021_01_06_425544 149 19 mutual mutual JJ 10_1101-2021_01_06_425544 149 20 information information NN 10_1101-2021_01_06_425544 149 21 values value NNS 10_1101-2021_01_06_425544 149 22 , , , 10_1101-2021_01_06_425544 149 23 staying stay VBG 10_1101-2021_01_06_425544 149 24 around around IN 10_1101-2021_01_06_425544 149 25 levels level NNS 10_1101-2021_01_06_425544 149 26 of of IN 10_1101-2021_01_06_425544 149 27 2.20 2.20 CD 10_1101-2021_01_06_425544 149 28 for for IN 10_1101-2021_01_06_425544 149 29 the the DT 10_1101-2021_01_06_425544 149 30 USA USA NNP 10_1101-2021_01_06_425544 149 31 and and CC 10_1101-2021_01_06_425544 149 32 Brazil Brazil NNP 10_1101-2021_01_06_425544 149 33 , , , 10_1101-2021_01_06_425544 149 34 1.5 1.5 CD 10_1101-2021_01_06_425544 149 35 for for IN 10_1101-2021_01_06_425544 149 36 Germany Germany NNP 10_1101-2021_01_06_425544 149 37 , , , 10_1101-2021_01_06_425544 149 38 and and CC 10_1101-2021_01_06_425544 149 39 1.3 1.3 CD 10_1101-2021_01_06_425544 149 40 for for IN 10_1101-2021_01_06_425544 149 41 Sweden Sweden NNP 10_1101-2021_01_06_425544 149 42 . . . 10_1101-2021_01_06_425544 150 1 Reflecting reflect VBG 10_1101-2021_01_06_425544 150 2 progressively progressively RB 10_1101-2021_01_06_425544 150 3 improved improve VBN 10_1101-2021_01_06_425544 150 4 control control NN 10_1101-2021_01_06_425544 150 5 , , , 10_1101-2021_01_06_425544 150 6 Italy Italy NNP 10_1101-2021_01_06_425544 150 7 and and CC 10_1101-2021_01_06_425544 150 8 South South NNP 10_1101-2021_01_06_425544 150 9 Korea Korea NNP 10_1101-2021_01_06_425544 150 10 also also RB 10_1101-2021_01_06_425544 150 11 have have VBP 10_1101-2021_01_06_425544 150 12 decreasing decrease VBG 10_1101-2021_01_06_425544 150 13 trends trend NNS 10_1101-2021_01_06_425544 150 14 , , , 10_1101-2021_01_06_425544 150 15 but but CC 10_1101-2021_01_06_425544 150 16 much much RB 10_1101-2021_01_06_425544 150 17 flatter flat JJR 10_1101-2021_01_06_425544 150 18 at at IN 10_1101-2021_01_06_425544 150 19 1.96 1.96 CD 10_1101-2021_01_06_425544 150 20 - - SYM 10_1101-2021_01_06_425544 150 21 1.36 1.36 CD 10_1101-2021_01_06_425544 150 22 for for IN 10_1101-2021_01_06_425544 150 23 Italy Italy NNP 10_1101-2021_01_06_425544 150 24 and and CC 10_1101-2021_01_06_425544 150 25 1.26 1.26 CD 10_1101-2021_01_06_425544 150 26 to to IN 10_1101-2021_01_06_425544 150 27 0.66 0.66 CD 10_1101-2021_01_06_425544 150 28 for for IN 10_1101-2021_01_06_425544 150 29 South South NNP 10_1101-2021_01_06_425544 150 30 Korea Korea NNP 10_1101-2021_01_06_425544 150 31 , , , 10_1101-2021_01_06_425544 150 32 respectively respectively RB 10_1101-2021_01_06_425544 150 33 ( ( -LRB- 10_1101-2021_01_06_425544 150 34 Figure figure NN 10_1101-2021_01_06_425544 150 35 5B 5b NN 10_1101-2021_01_06_425544 150 36 ) ) -RRB- 10_1101-2021_01_06_425544 150 37 . . . 10_1101-2021_01_06_425544 151 1 .CC .CC NFP 10_1101-2021_01_06_425544 151 2 - - : 10_1101-2021_01_06_425544 151 3 BY by IN 10_1101-2021_01_06_425544 151 4 4.0 4.0 CD 10_1101-2021_01_06_425544 151 5 International International NNP 10_1101-2021_01_06_425544 151 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 151 7 under under IN 10_1101-2021_01_06_425544 151 8 a a DT 10_1101-2021_01_06_425544 151 9 ( ( -LRB- 10_1101-2021_01_06_425544 151 10 which which WDT 10_1101-2021_01_06_425544 151 11 was be VBD 10_1101-2021_01_06_425544 151 12 not not RB 10_1101-2021_01_06_425544 151 13 certified certify VBN 10_1101-2021_01_06_425544 151 14 by by IN 10_1101-2021_01_06_425544 151 15 peer peer NN 10_1101-2021_01_06_425544 151 16 review review NN 10_1101-2021_01_06_425544 151 17 ) ) -RRB- 10_1101-2021_01_06_425544 151 18 is be VBZ 10_1101-2021_01_06_425544 151 19 the the DT 10_1101-2021_01_06_425544 151 20 author author NN 10_1101-2021_01_06_425544 151 21 / / SYM 10_1101-2021_01_06_425544 151 22 funder funder NN 10_1101-2021_01_06_425544 151 23 , , , 10_1101-2021_01_06_425544 151 24 who who WP 10_1101-2021_01_06_425544 151 25 has have VBZ 10_1101-2021_01_06_425544 151 26 granted grant VBN 10_1101-2021_01_06_425544 151 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 151 28 a a DT 10_1101-2021_01_06_425544 151 29 license license NN 10_1101-2021_01_06_425544 151 30 to to TO 10_1101-2021_01_06_425544 151 31 display display VB 10_1101-2021_01_06_425544 151 32 the the DT 10_1101-2021_01_06_425544 151 33 preprint preprint NN 10_1101-2021_01_06_425544 151 34 in in IN 10_1101-2021_01_06_425544 151 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 151 36 . . . 10_1101-2021_01_06_425544 152 1 It -PRON- PRP 10_1101-2021_01_06_425544 152 2 is be VBZ 10_1101-2021_01_06_425544 152 3 made make VBN 10_1101-2021_01_06_425544 152 4 The the DT 10_1101-2021_01_06_425544 152 5 copyright copyright NN 10_1101-2021_01_06_425544 152 6 holder holder NN 10_1101-2021_01_06_425544 152 7 for for IN 10_1101-2021_01_06_425544 152 8 this this DT 10_1101-2021_01_06_425544 152 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 152 10 version version NN 10_1101-2021_01_06_425544 152 11 posted post VBD 10_1101-2021_01_06_425544 152 12 January January NNP 10_1101-2021_01_06_425544 152 13 6 6 CD 10_1101-2021_01_06_425544 152 14 , , , 10_1101-2021_01_06_425544 152 15 2021 2021 CD 10_1101-2021_01_06_425544 152 16 . . . 10_1101-2021_01_06_425544 152 17 ; ; : 10_1101-2021_01_06_425544 152 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 152 19 : : : 10_1101-2021_01_06_425544 152 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 152 21 preprint preprint NN 10_1101-2021_01_06_425544 152 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 152 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 152 24 A a DT 10_1101-2021_01_06_425544 152 25 rapid rapid JJ 10_1101-2021_01_06_425544 152 26 increase increase NN 10_1101-2021_01_06_425544 152 27 in in IN 10_1101-2021_01_06_425544 152 28 new new JJ 10_1101-2021_01_06_425544 152 29 infections infection NNS 10_1101-2021_01_06_425544 152 30 is be VBZ 10_1101-2021_01_06_425544 152 31 reflected reflect VBN 10_1101-2021_01_06_425544 152 32 in in IN 10_1101-2021_01_06_425544 152 33 a a DT 10_1101-2021_01_06_425544 152 34 small small JJ 10_1101-2021_01_06_425544 152 35 fractal fractal JJ 10_1101-2021_01_06_425544 152 36 dimension dimension NN 10_1101-2021_01_06_425544 152 37 ( ( -LRB- 10_1101-2021_01_06_425544 152 38 practically practically RB 10_1101-2021_01_06_425544 152 39 approximated approximate VBN 10_1101-2021_01_06_425544 152 40 by by IN 10_1101-2021_01_06_425544 152 41 the the DT 10_1101-2021_01_06_425544 152 42 box box NN 10_1101-2021_01_06_425544 152 43 counting count VBG 10_1101-2021_01_06_425544 152 44 dimension dimension NN 10_1101-2021_01_06_425544 152 45 with with IN 10_1101-2021_01_06_425544 152 46 values value NNS 10_1101-2021_01_06_425544 152 47 between between IN 10_1101-2021_01_06_425544 152 48 1 1 CD 10_1101-2021_01_06_425544 152 49 and and CC 10_1101-2021_01_06_425544 152 50 2 2 CD 10_1101-2021_01_06_425544 152 51 ) ) -RRB- 10_1101-2021_01_06_425544 152 52 of of IN 10_1101-2021_01_06_425544 152 53 the the DT 10_1101-2021_01_06_425544 152 54 2-dimensional 2-dimensional CD 10_1101-2021_01_06_425544 152 55 return return NN 10_1101-2021_01_06_425544 152 56 plots plot NNS 10_1101-2021_01_06_425544 152 57 with with IN 10_1101-2021_01_06_425544 152 58 progressive progressive JJ 10_1101-2021_01_06_425544 152 59 lags lag NNS 10_1101-2021_01_06_425544 152 60 . . . 10_1101-2021_01_06_425544 153 1 Intermediate intermediate JJ 10_1101-2021_01_06_425544 153 2 phases phase NNS 10_1101-2021_01_06_425544 153 3 are be VBP 10_1101-2021_01_06_425544 153 4 characterized characterize VBN 10_1101-2021_01_06_425544 153 5 by by IN 10_1101-2021_01_06_425544 153 6 higher high JJR 10_1101-2021_01_06_425544 153 7 fractal fractal JJ 10_1101-2021_01_06_425544 153 8 dimensions dimension NNS 10_1101-2021_01_06_425544 153 9 ( ( -LRB- 10_1101-2021_01_06_425544 153 10 approaching approach VBG 10_1101-2021_01_06_425544 153 11 2 2 CD 10_1101-2021_01_06_425544 153 12 ) ) -RRB- 10_1101-2021_01_06_425544 153 13 , , , 10_1101-2021_01_06_425544 153 14 depending depend VBG 10_1101-2021_01_06_425544 153 15 on on IN 10_1101-2021_01_06_425544 153 16 the the DT 10_1101-2021_01_06_425544 153 17 nature nature NN 10_1101-2021_01_06_425544 153 18 of of IN 10_1101-2021_01_06_425544 153 19 the the DT 10_1101-2021_01_06_425544 153 20 oscillations oscillation NNS 10_1101-2021_01_06_425544 153 21 . . . 10_1101-2021_01_06_425544 154 1 Conversely conversely RB 10_1101-2021_01_06_425544 154 2 , , , 10_1101-2021_01_06_425544 154 3 successful successful JJ 10_1101-2021_01_06_425544 154 4 management management NN 10_1101-2021_01_06_425544 154 5 through through IN 10_1101-2021_01_06_425544 154 6 the the DT 10_1101-2021_01_06_425544 154 7 reduction reduction NN 10_1101-2021_01_06_425544 154 8 in in IN 10_1101-2021_01_06_425544 154 9 new new JJ 10_1101-2021_01_06_425544 154 10 infections infection NNS 10_1101-2021_01_06_425544 154 11 should should MD 10_1101-2021_01_06_425544 154 12 be be VB 10_1101-2021_01_06_425544 154 13 reflected reflect VBN 10_1101-2021_01_06_425544 154 14 in in IN 10_1101-2021_01_06_425544 154 15 a a DT 10_1101-2021_01_06_425544 154 16 contraction contraction NN 10_1101-2021_01_06_425544 154 17 of of IN 10_1101-2021_01_06_425544 154 18 the the DT 10_1101-2021_01_06_425544 154 19 attractor attractor NN 10_1101-2021_01_06_425544 154 20 on on IN 10_1101-2021_01_06_425544 154 21 the the DT 10_1101-2021_01_06_425544 154 22 return return NN 10_1101-2021_01_06_425544 154 23 plot plot NN 10_1101-2021_01_06_425544 154 24 , , , 10_1101-2021_01_06_425544 154 25 which which WDT 10_1101-2021_01_06_425544 154 26 is be VBZ 10_1101-2021_01_06_425544 154 27 assessable assessable JJ 10_1101-2021_01_06_425544 154 28 through through IN 10_1101-2021_01_06_425544 154 29 the the DT 10_1101-2021_01_06_425544 154 30 box box NN 10_1101-2021_01_06_425544 154 31 counting counting NN 10_1101-2021_01_06_425544 154 32 dimension dimension NN 10_1101-2021_01_06_425544 154 33 . . . 10_1101-2021_01_06_425544 155 1 A a DT 10_1101-2021_01_06_425544 155 2 trend trend NN 10_1101-2021_01_06_425544 155 3 is be VBZ 10_1101-2021_01_06_425544 155 4 displayed display VBN 10_1101-2021_01_06_425544 155 5 in in IN 10_1101-2021_01_06_425544 155 6 the the DT 10_1101-2021_01_06_425544 155 7 comparisons comparison NNS 10_1101-2021_01_06_425544 155 8 from from IN 10_1101-2021_01_06_425544 155 9 shorter short JJR 10_1101-2021_01_06_425544 155 10 to to TO 10_1101-2021_01_06_425544 155 11 longer long RBR 10_1101-2021_01_06_425544 155 12 lag lag VB 10_1101-2021_01_06_425544 155 13 periods period NNS 10_1101-2021_01_06_425544 155 14 . . . 10_1101-2021_01_06_425544 156 1 Distinct distinct JJ 10_1101-2021_01_06_425544 156 2 management management NN 10_1101-2021_01_06_425544 156 3 strategies strategy NNS 10_1101-2021_01_06_425544 156 4 across across IN 10_1101-2021_01_06_425544 156 5 different different JJ 10_1101-2021_01_06_425544 156 6 countries country NNS 10_1101-2021_01_06_425544 156 7 generate generate VBP 10_1101-2021_01_06_425544 156 8 a a DT 10_1101-2021_01_06_425544 156 9 heterogeneous heterogeneous JJ 10_1101-2021_01_06_425544 156 10 pattern pattern NN 10_1101-2021_01_06_425544 156 11 worldwide worldwide RB 10_1101-2021_01_06_425544 156 12 , , , 10_1101-2021_01_06_425544 156 13 rendering render VBG 10_1101-2021_01_06_425544 156 14 the the DT 10_1101-2021_01_06_425544 156 15 fractal fractal JJ 10_1101-2021_01_06_425544 156 16 dimension dimension NN 10_1101-2021_01_06_425544 156 17 high high RB 10_1101-2021_01_06_425544 156 18 regardless regardless RB 10_1101-2021_01_06_425544 156 19 of of IN 10_1101-2021_01_06_425544 156 20 the the DT 10_1101-2021_01_06_425544 156 21 lag lag NN 10_1101-2021_01_06_425544 156 22 in in IN 10_1101-2021_01_06_425544 156 23 x(t+n x(t+n NNP 10_1101-2021_01_06_425544 156 24 ) ) -RRB- 10_1101-2021_01_06_425544 156 25 versus versus IN 10_1101-2021_01_06_425544 156 26 x(t x(t NNP 10_1101-2021_01_06_425544 156 27 ) ) -RRB- 10_1101-2021_01_06_425544 156 28 plots plot NNS 10_1101-2021_01_06_425544 156 29 . . . 10_1101-2021_01_06_425544 157 1 Steep steep JJ 10_1101-2021_01_06_425544 157 2 increases increase NNS 10_1101-2021_01_06_425544 157 3 in in IN 10_1101-2021_01_06_425544 157 4 new new JJ 10_1101-2021_01_06_425544 157 5 infections infection NNS 10_1101-2021_01_06_425544 157 6 ( ( -LRB- 10_1101-2021_01_06_425544 157 7 Poland Poland NNP 10_1101-2021_01_06_425544 157 8 , , , 10_1101-2021_01_06_425544 157 9 India India NNP 10_1101-2021_01_06_425544 157 10 ) ) -RRB- 10_1101-2021_01_06_425544 157 11 have have VBP 10_1101-2021_01_06_425544 157 12 dimensions dimension NNS 10_1101-2021_01_06_425544 157 13 close close JJ 10_1101-2021_01_06_425544 157 14 to to IN 10_1101-2021_01_06_425544 157 15 1 1 CD 10_1101-2021_01_06_425544 157 16 . . . 10_1101-2021_01_06_425544 158 1 Intermediate intermediate JJ 10_1101-2021_01_06_425544 158 2 phases phase NNS 10_1101-2021_01_06_425544 158 3 are be VBP 10_1101-2021_01_06_425544 158 4 characterized characterize VBN 10_1101-2021_01_06_425544 158 5 by by IN 10_1101-2021_01_06_425544 158 6 higher high JJR 10_1101-2021_01_06_425544 158 7 numbers number NNS 10_1101-2021_01_06_425544 158 8 . . . 10_1101-2021_01_06_425544 159 1 Successful successful JJ 10_1101-2021_01_06_425544 159 2 fights fight NNS 10_1101-2021_01_06_425544 159 3 against against IN 10_1101-2021_01_06_425544 159 4 the the DT 10_1101-2021_01_06_425544 159 5 pandemic pandemic NN 10_1101-2021_01_06_425544 159 6 ( ( -LRB- 10_1101-2021_01_06_425544 159 7 South South NNP 10_1101-2021_01_06_425544 159 8 Korea Korea NNP 10_1101-2021_01_06_425544 159 9 ) ) -RRB- 10_1101-2021_01_06_425544 159 10 are be VBP 10_1101-2021_01_06_425544 159 11 causative causative JJ 10_1101-2021_01_06_425544 159 12 for for IN 10_1101-2021_01_06_425544 159 13 declining decline VBG 10_1101-2021_01_06_425544 159 14 size size NN 10_1101-2021_01_06_425544 159 15 dimensions dimension NNS 10_1101-2021_01_06_425544 159 16 with with IN 10_1101-2021_01_06_425544 159 17 increasing increase VBG 10_1101-2021_01_06_425544 159 18 lag lag NN 10_1101-2021_01_06_425544 159 19 ( ( -LRB- 10_1101-2021_01_06_425544 159 20 Figure figure NN 10_1101-2021_01_06_425544 159 21 5C 5c NN 10_1101-2021_01_06_425544 159 22 ) ) -RRB- 10_1101-2021_01_06_425544 159 23 . . . 10_1101-2021_01_06_425544 160 1 2 2 LS 10_1101-2021_01_06_425544 160 2 . . . 10_1101-2021_01_06_425544 161 1 Comparison comparison NN 10_1101-2021_01_06_425544 161 2 across across IN 10_1101-2021_01_06_425544 161 3 US US NNP 10_1101-2021_01_06_425544 161 4 States States NNP 10_1101-2021_01_06_425544 161 5 Within within IN 10_1101-2021_01_06_425544 161 6 the the DT 10_1101-2021_01_06_425544 161 7 USA USA NNP 10_1101-2021_01_06_425544 161 8 , , , 10_1101-2021_01_06_425544 161 9 individual individual JJ 10_1101-2021_01_06_425544 161 10 states state NNS 10_1101-2021_01_06_425544 161 11 have have VBP 10_1101-2021_01_06_425544 161 12 encountered encounter VBN 10_1101-2021_01_06_425544 161 13 a a DT 10_1101-2021_01_06_425544 161 14 rather rather RB 10_1101-2021_01_06_425544 161 15 wide wide JJ 10_1101-2021_01_06_425544 161 16 range range NN 10_1101-2021_01_06_425544 161 17 of of IN 10_1101-2021_01_06_425544 161 18 progression progression NN 10_1101-2021_01_06_425544 161 19 phenotypes phenotype NNS 10_1101-2021_01_06_425544 161 20 in in IN 10_1101-2021_01_06_425544 161 21 the the DT 10_1101-2021_01_06_425544 161 22 spread spread NN 10_1101-2021_01_06_425544 161 23 of of IN 10_1101-2021_01_06_425544 161 24 new new JJ 10_1101-2021_01_06_425544 161 25 COVID-19 covid-19 JJ 10_1101-2021_01_06_425544 161 26 infections infection NNS 10_1101-2021_01_06_425544 161 27 ( ( -LRB- 10_1101-2021_01_06_425544 161 28 Figure Figure NNP 10_1101-2021_01_06_425544 161 29 6 6 CD 10_1101-2021_01_06_425544 161 30 ) ) -RRB- 10_1101-2021_01_06_425544 161 31 . . . 10_1101-2021_01_06_425544 162 1 This this DT 10_1101-2021_01_06_425544 162 2 is be VBZ 10_1101-2021_01_06_425544 162 3 due due JJ 10_1101-2021_01_06_425544 162 4 to to IN 10_1101-2021_01_06_425544 162 5 variations variation NNS 10_1101-2021_01_06_425544 162 6 in in IN 10_1101-2021_01_06_425544 162 7 international international JJ 10_1101-2021_01_06_425544 162 8 connectedness connectedness NN 10_1101-2021_01_06_425544 162 9 and and CC 10_1101-2021_01_06_425544 162 10 population population NN 10_1101-2021_01_06_425544 162 11 density density NN 10_1101-2021_01_06_425544 162 12 ( ( -LRB- 10_1101-2021_01_06_425544 162 13 reflected reflect VBN 10_1101-2021_01_06_425544 162 14 in in IN 10_1101-2021_01_06_425544 162 15 the the DT 10_1101-2021_01_06_425544 162 16 early early JJ 10_1101-2021_01_06_425544 162 17 peaks peak NNS 10_1101-2021_01_06_425544 162 18 in in IN 10_1101-2021_01_06_425544 162 19 the the DT 10_1101-2021_01_06_425544 162 20 Northeastern northeastern JJ 10_1101-2021_01_06_425544 162 21 states state NNS 10_1101-2021_01_06_425544 162 22 New New NNP 10_1101-2021_01_06_425544 162 23 York York NNP 10_1101-2021_01_06_425544 162 24 and and CC 10_1101-2021_01_06_425544 162 25 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 162 26 ) ) -RRB- 10_1101-2021_01_06_425544 162 27 , , , 10_1101-2021_01_06_425544 162 28 holiday holiday NN 10_1101-2021_01_06_425544 162 29 travel travel NN 10_1101-2021_01_06_425544 162 30 ( ( -LRB- 10_1101-2021_01_06_425544 162 31 Florida Florida NNP 10_1101-2021_01_06_425544 162 32 ) ) -RRB- 10_1101-2021_01_06_425544 162 33 , , , 10_1101-2021_01_06_425544 162 34 policy policy NN 10_1101-2021_01_06_425544 162 35 decisions decision NNS 10_1101-2021_01_06_425544 162 36 and and CC 10_1101-2021_01_06_425544 162 37 other other JJ 10_1101-2021_01_06_425544 162 38 factors factor NNS 10_1101-2021_01_06_425544 162 39 . . . 10_1101-2021_01_06_425544 163 1 Wavelet wavelet JJ 10_1101-2021_01_06_425544 163 2 analysis analysis NN 10_1101-2021_01_06_425544 163 3 of of IN 10_1101-2021_01_06_425544 163 4 new new JJ 10_1101-2021_01_06_425544 163 5 infections infection NNS 10_1101-2021_01_06_425544 163 6 ( ( -LRB- 10_1101-2021_01_06_425544 163 7 one one CD 10_1101-2021_01_06_425544 163 8 scale scale NN 10_1101-2021_01_06_425544 163 9 across across IN 10_1101-2021_01_06_425544 163 10 all all DT 10_1101-2021_01_06_425544 163 11 states state NNS 10_1101-2021_01_06_425544 163 12 ) ) -RRB- 10_1101-2021_01_06_425544 163 13 shows show VBZ 10_1101-2021_01_06_425544 163 14 good good JJ 10_1101-2021_01_06_425544 163 15 control control NN 10_1101-2021_01_06_425544 163 16 ( ( -LRB- 10_1101-2021_01_06_425544 163 17 right right JJ 10_1101-2021_01_06_425544 163 18 side side NN 10_1101-2021_01_06_425544 163 19 of of IN 10_1101-2021_01_06_425544 163 20 the the DT 10_1101-2021_01_06_425544 163 21 graph graph NN 10_1101-2021_01_06_425544 163 22 ) ) -RRB- 10_1101-2021_01_06_425544 163 23 after after IN 10_1101-2021_01_06_425544 163 24 initial initial JJ 10_1101-2021_01_06_425544 163 25 affliction affliction NN 10_1101-2021_01_06_425544 163 26 ( ( -LRB- 10_1101-2021_01_06_425544 163 27 left left JJ 10_1101-2021_01_06_425544 163 28 area area NN 10_1101-2021_01_06_425544 163 29 ) ) -RRB- 10_1101-2021_01_06_425544 163 30 for for IN 10_1101-2021_01_06_425544 163 31 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 163 32 and and CC 10_1101-2021_01_06_425544 163 33 New New NNP 10_1101-2021_01_06_425544 163 34 York York NNP 10_1101-2021_01_06_425544 163 35 , , , 10_1101-2021_01_06_425544 163 36 which which WDT 10_1101-2021_01_06_425544 163 37 having have VBG 10_1101-2021_01_06_425544 163 38 had have VBD 10_1101-2021_01_06_425544 163 39 early early JJ 10_1101-2021_01_06_425544 163 40 spikes spike NNS 10_1101-2021_01_06_425544 163 41 in in IN 10_1101-2021_01_06_425544 163 42 new new JJ 10_1101-2021_01_06_425544 163 43 infections infection NNS 10_1101-2021_01_06_425544 163 44 have have VBP 10_1101-2021_01_06_425544 163 45 achieved achieve VBN 10_1101-2021_01_06_425544 163 46 good good JJ 10_1101-2021_01_06_425544 163 47 success success NN 10_1101-2021_01_06_425544 163 48 in in IN 10_1101-2021_01_06_425544 163 49 containment containment NN 10_1101-2021_01_06_425544 163 50 . . . 10_1101-2021_01_06_425544 164 1 Through through IN 10_1101-2021_01_06_425544 164 2 the the DT 10_1101-2021_01_06_425544 164 3 observation observation NN 10_1101-2021_01_06_425544 164 4 period period NN 10_1101-2021_01_06_425544 164 5 , , , 10_1101-2021_01_06_425544 164 6 control control NN 10_1101-2021_01_06_425544 164 7 has have VBZ 10_1101-2021_01_06_425544 164 8 not not RB 10_1101-2021_01_06_425544 164 9 been be VBN 10_1101-2021_01_06_425544 164 10 maintained maintain VBN 10_1101-2021_01_06_425544 164 11 in in IN 10_1101-2021_01_06_425544 164 12 Ohio Ohio NNP 10_1101-2021_01_06_425544 164 13 . . . 10_1101-2021_01_06_425544 165 1 The the DT 10_1101-2021_01_06_425544 165 2 periodicity periodicity NN 10_1101-2021_01_06_425544 165 3 in in IN 10_1101-2021_01_06_425544 165 4 individual individual JJ 10_1101-2021_01_06_425544 165 5 states state NNS 10_1101-2021_01_06_425544 165 6 ( ( -LRB- 10_1101-2021_01_06_425544 165 7 each each DT 10_1101-2021_01_06_425544 165 8 on on IN 10_1101-2021_01_06_425544 165 9 their -PRON- PRP$ 10_1101-2021_01_06_425544 165 10 own own JJ 10_1101-2021_01_06_425544 165 11 scales scale NNS 10_1101-2021_01_06_425544 165 12 ) ) -RRB- 10_1101-2021_01_06_425544 165 13 is be VBZ 10_1101-2021_01_06_425544 165 14 poorly poorly RB 10_1101-2021_01_06_425544 165 15 defined define VBN 10_1101-2021_01_06_425544 165 16 , , , 10_1101-2021_01_06_425544 165 17 except except IN 10_1101-2021_01_06_425544 165 18 for for IN 10_1101-2021_01_06_425544 165 19 Florida Florida NNP 10_1101-2021_01_06_425544 165 20 and and CC 10_1101-2021_01_06_425544 165 21 Ohio Ohio NNP 10_1101-2021_01_06_425544 165 22 , , , 10_1101-2021_01_06_425544 165 23 where where WRB 10_1101-2021_01_06_425544 165 24 7 7 CD 10_1101-2021_01_06_425544 165 25 days day NNS 10_1101-2021_01_06_425544 165 26 yield yield VBP 10_1101-2021_01_06_425544 165 27 a a DT 10_1101-2021_01_06_425544 165 28 prominent prominent JJ 10_1101-2021_01_06_425544 165 29 signal signal NN 10_1101-2021_01_06_425544 165 30 ( ( -LRB- 10_1101-2021_01_06_425544 165 31 Figure figure NN 10_1101-2021_01_06_425544 165 32 7A 7a NN 10_1101-2021_01_06_425544 165 33 , , , 10_1101-2021_01_06_425544 165 34 B b NN 10_1101-2021_01_06_425544 165 35 ) ) -RRB- 10_1101-2021_01_06_425544 165 36 . . . 10_1101-2021_01_06_425544 166 1 We -PRON- PRP 10_1101-2021_01_06_425544 166 2 normalized normalize VBD 10_1101-2021_01_06_425544 166 3 the the DT 10_1101-2021_01_06_425544 166 4 new new JJ 10_1101-2021_01_06_425544 166 5 infection infection NN 10_1101-2021_01_06_425544 166 6 numbers number NNS 10_1101-2021_01_06_425544 166 7 to to IN 10_1101-2021_01_06_425544 166 8 rates rate NNS 10_1101-2021_01_06_425544 166 9 by by IN 10_1101-2021_01_06_425544 166 10 relating relate VBG 10_1101-2021_01_06_425544 166 11 them -PRON- PRP 10_1101-2021_01_06_425544 166 12 per per IN 10_1101-2021_01_06_425544 166 13 10,000 10,000 CD 10_1101-2021_01_06_425544 166 14 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 166 15 ( ( -LRB- 10_1101-2021_01_06_425544 166 16 Figure figure NN 10_1101-2021_01_06_425544 166 17 8A 8a NN 10_1101-2021_01_06_425544 166 18 ) ) -RRB- 10_1101-2021_01_06_425544 166 19 . . . 10_1101-2021_01_06_425544 167 1 Figure figure NN 10_1101-2021_01_06_425544 167 2 8B 8b NN 10_1101-2021_01_06_425544 167 3 shows show VBZ 10_1101-2021_01_06_425544 167 4 the the DT 10_1101-2021_01_06_425544 167 5 periodogram periodogram NN 10_1101-2021_01_06_425544 167 6 for for IN 10_1101-2021_01_06_425544 167 7 the the DT 10_1101-2021_01_06_425544 167 8 6 6 CD 10_1101-2021_01_06_425544 167 9 states state NNS 10_1101-2021_01_06_425544 167 10 under under IN 10_1101-2021_01_06_425544 167 11 investigation investigation NN 10_1101-2021_01_06_425544 167 12 with with IN 10_1101-2021_01_06_425544 167 13 frequencies frequency NNS 10_1101-2021_01_06_425544 167 14 between between IN 10_1101-2021_01_06_425544 167 15 0 0 CD 10_1101-2021_01_06_425544 167 16 and and CC 10_1101-2021_01_06_425544 167 17 0.10 0.10 CD 10_1101-2021_01_06_425544 167 18 ( ( -LRB- 10_1101-2021_01_06_425544 167 19 the the DT 10_1101-2021_01_06_425544 167 20 graph graph NN 10_1101-2021_01_06_425544 167 21 is be VBZ 10_1101-2021_01_06_425544 167 22 almost almost RB 10_1101-2021_01_06_425544 167 23 flat flat JJ 10_1101-2021_01_06_425544 167 24 for for IN 10_1101-2021_01_06_425544 167 25 the the DT 10_1101-2021_01_06_425544 167 26 higher high JJR 10_1101-2021_01_06_425544 167 27 frequencies frequency NNS 10_1101-2021_01_06_425544 167 28 ) ) -RRB- 10_1101-2021_01_06_425544 167 29 . . . 10_1101-2021_01_06_425544 168 1 There there EX 10_1101-2021_01_06_425544 168 2 exist exist VBP 10_1101-2021_01_06_425544 168 3 clear clear JJ 10_1101-2021_01_06_425544 168 4 heterogeneous heterogeneous JJ 10_1101-2021_01_06_425544 168 5 patterns pattern NNS 10_1101-2021_01_06_425544 168 6 in in IN 10_1101-2021_01_06_425544 168 7 the the DT 10_1101-2021_01_06_425544 168 8 comparison comparison NN 10_1101-2021_01_06_425544 168 9 among among IN 10_1101-2021_01_06_425544 168 10 these these DT 10_1101-2021_01_06_425544 168 11 states state NNS 10_1101-2021_01_06_425544 168 12 . . . 10_1101-2021_01_06_425544 169 1 New New NNP 10_1101-2021_01_06_425544 169 2 York York NNP 10_1101-2021_01_06_425544 169 3 and and CC 10_1101-2021_01_06_425544 169 4 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 169 5 display display VBP 10_1101-2021_01_06_425544 169 6 steadily steadily RB 10_1101-2021_01_06_425544 169 7 decreasing decrease VBG 10_1101-2021_01_06_425544 169 8 spectral spectral JJ 10_1101-2021_01_06_425544 169 9 density density NN 10_1101-2021_01_06_425544 169 10 values value NNS 10_1101-2021_01_06_425544 169 11 from from IN 10_1101-2021_01_06_425544 169 12 the the DT 10_1101-2021_01_06_425544 169 13 longest long JJS 10_1101-2021_01_06_425544 169 14 period period NN 10_1101-2021_01_06_425544 169 15 to to IN 10_1101-2021_01_06_425544 169 16 around around IN 10_1101-2021_01_06_425544 169 17 1 1 CD 10_1101-2021_01_06_425544 169 18 - - SYM 10_1101-2021_01_06_425544 169 19 2 2 CD 10_1101-2021_01_06_425544 169 20 weeks week NNS 10_1101-2021_01_06_425544 169 21 ( ( -LRB- 10_1101-2021_01_06_425544 169 22 corresponding correspond VBG 10_1101-2021_01_06_425544 169 23 to to IN 10_1101-2021_01_06_425544 169 24 a a DT 10_1101-2021_01_06_425544 169 25 frequency frequency JJ 10_1101-2021_01_06_425544 169 26 range range NN 10_1101-2021_01_06_425544 169 27 around around RB 10_1101-2021_01_06_425544 169 28 0.07 0.07 CD 10_1101-2021_01_06_425544 169 29 - - SYM 10_1101-2021_01_06_425544 169 30 0.14 0.14 CD 10_1101-2021_01_06_425544 169 31 ) ) -RRB- 10_1101-2021_01_06_425544 169 32 . . . 10_1101-2021_01_06_425544 170 1 Florida Florida NNP 10_1101-2021_01_06_425544 170 2 and and CC 10_1101-2021_01_06_425544 170 3 Texas Texas NNP 10_1101-2021_01_06_425544 170 4 .CC .CC : 10_1101-2021_01_06_425544 170 5 - - : 10_1101-2021_01_06_425544 170 6 BY by IN 10_1101-2021_01_06_425544 170 7 4.0 4.0 CD 10_1101-2021_01_06_425544 170 8 International International NNP 10_1101-2021_01_06_425544 170 9 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 170 10 under under IN 10_1101-2021_01_06_425544 170 11 a a DT 10_1101-2021_01_06_425544 170 12 ( ( -LRB- 10_1101-2021_01_06_425544 170 13 which which WDT 10_1101-2021_01_06_425544 170 14 was be VBD 10_1101-2021_01_06_425544 170 15 not not RB 10_1101-2021_01_06_425544 170 16 certified certify VBN 10_1101-2021_01_06_425544 170 17 by by IN 10_1101-2021_01_06_425544 170 18 peer peer NN 10_1101-2021_01_06_425544 170 19 review review NN 10_1101-2021_01_06_425544 170 20 ) ) -RRB- 10_1101-2021_01_06_425544 170 21 is be VBZ 10_1101-2021_01_06_425544 170 22 the the DT 10_1101-2021_01_06_425544 170 23 author author NN 10_1101-2021_01_06_425544 170 24 / / SYM 10_1101-2021_01_06_425544 170 25 funder funder NN 10_1101-2021_01_06_425544 170 26 , , , 10_1101-2021_01_06_425544 170 27 who who WP 10_1101-2021_01_06_425544 170 28 has have VBZ 10_1101-2021_01_06_425544 170 29 granted grant VBN 10_1101-2021_01_06_425544 170 30 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 170 31 a a DT 10_1101-2021_01_06_425544 170 32 license license NN 10_1101-2021_01_06_425544 170 33 to to TO 10_1101-2021_01_06_425544 170 34 display display VB 10_1101-2021_01_06_425544 170 35 the the DT 10_1101-2021_01_06_425544 170 36 preprint preprint NN 10_1101-2021_01_06_425544 170 37 in in IN 10_1101-2021_01_06_425544 170 38 perpetuity perpetuity NN 10_1101-2021_01_06_425544 170 39 . . . 10_1101-2021_01_06_425544 171 1 It -PRON- PRP 10_1101-2021_01_06_425544 171 2 is be VBZ 10_1101-2021_01_06_425544 171 3 made make VBN 10_1101-2021_01_06_425544 171 4 The the DT 10_1101-2021_01_06_425544 171 5 copyright copyright NN 10_1101-2021_01_06_425544 171 6 holder holder NN 10_1101-2021_01_06_425544 171 7 for for IN 10_1101-2021_01_06_425544 171 8 this this DT 10_1101-2021_01_06_425544 171 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 171 10 version version NN 10_1101-2021_01_06_425544 171 11 posted post VBD 10_1101-2021_01_06_425544 171 12 January January NNP 10_1101-2021_01_06_425544 171 13 6 6 CD 10_1101-2021_01_06_425544 171 14 , , , 10_1101-2021_01_06_425544 171 15 2021 2021 CD 10_1101-2021_01_06_425544 171 16 . . . 10_1101-2021_01_06_425544 171 17 ; ; : 10_1101-2021_01_06_425544 171 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 171 19 : : : 10_1101-2021_01_06_425544 171 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 171 21 preprint preprint NN 10_1101-2021_01_06_425544 171 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 171 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 171 24 share share VB 10_1101-2021_01_06_425544 171 25 similar similar JJ 10_1101-2021_01_06_425544 171 26 patterns pattern NNS 10_1101-2021_01_06_425544 171 27 with with IN 10_1101-2021_01_06_425544 171 28 a a DT 10_1101-2021_01_06_425544 171 29 few few JJ 10_1101-2021_01_06_425544 171 30 low low JJ 10_1101-2021_01_06_425544 171 31 spikes spike NNS 10_1101-2021_01_06_425544 171 32 in in IN 10_1101-2021_01_06_425544 171 33 their -PRON- PRP$ 10_1101-2021_01_06_425544 171 34 periodograms periodogram NNS 10_1101-2021_01_06_425544 171 35 after after IN 10_1101-2021_01_06_425544 171 36 the the DT 10_1101-2021_01_06_425544 171 37 first first JJ 10_1101-2021_01_06_425544 171 38 3 3 CD 10_1101-2021_01_06_425544 171 39 highest high JJS 10_1101-2021_01_06_425544 171 40 ones one NNS 10_1101-2021_01_06_425544 171 41 . . . 10_1101-2021_01_06_425544 172 1 The the DT 10_1101-2021_01_06_425544 172 2 graph graph NN 10_1101-2021_01_06_425544 172 3 for for IN 10_1101-2021_01_06_425544 172 4 California California NNP 10_1101-2021_01_06_425544 172 5 flattens flatten VBZ 10_1101-2021_01_06_425544 172 6 out out RP 10_1101-2021_01_06_425544 172 7 after after IN 10_1101-2021_01_06_425544 172 8 the the DT 10_1101-2021_01_06_425544 172 9 lowest low JJS 10_1101-2021_01_06_425544 172 10 three three CD 10_1101-2021_01_06_425544 172 11 frequencies frequency NNS 10_1101-2021_01_06_425544 172 12 , , , 10_1101-2021_01_06_425544 172 13 with with IN 10_1101-2021_01_06_425544 172 14 the the DT 10_1101-2021_01_06_425544 172 15 longest long JJS 10_1101-2021_01_06_425544 172 16 period period NN 10_1101-2021_01_06_425544 172 17 ( ( -LRB- 10_1101-2021_01_06_425544 172 18 the the DT 10_1101-2021_01_06_425544 172 19 whole whole JJ 10_1101-2021_01_06_425544 172 20 series series NN 10_1101-2021_01_06_425544 172 21 ) ) -RRB- 10_1101-2021_01_06_425544 172 22 having have VBG 10_1101-2021_01_06_425544 172 23 the the DT 10_1101-2021_01_06_425544 172 24 highest high JJS 10_1101-2021_01_06_425544 172 25 value value NN 10_1101-2021_01_06_425544 172 26 . . . 10_1101-2021_01_06_425544 173 1 Ohio Ohio NNP 10_1101-2021_01_06_425544 173 2 ’s ’s POS 10_1101-2021_01_06_425544 173 3 pattern pattern NN 10_1101-2021_01_06_425544 173 4 is be VBZ 10_1101-2021_01_06_425544 173 5 quite quite RB 10_1101-2021_01_06_425544 173 6 unique unique JJ 10_1101-2021_01_06_425544 173 7 with with IN 10_1101-2021_01_06_425544 173 8 fluctuating fluctuate VBG 10_1101-2021_01_06_425544 173 9 values value NNS 10_1101-2021_01_06_425544 173 10 from from IN 10_1101-2021_01_06_425544 173 11 the the DT 10_1101-2021_01_06_425544 173 12 longest long JJS 10_1101-2021_01_06_425544 173 13 periods period NNS 10_1101-2021_01_06_425544 173 14 through through IN 10_1101-2021_01_06_425544 173 15 around around IN 10_1101-2021_01_06_425544 173 16 5 5 CD 10_1101-2021_01_06_425544 173 17 - - SYM 10_1101-2021_01_06_425544 173 18 6 6 CD 10_1101-2021_01_06_425544 173 19 weeks week NNS 10_1101-2021_01_06_425544 173 20 . . . 10_1101-2021_01_06_425544 174 1 The the DT 10_1101-2021_01_06_425544 174 2 Fourier Fourier NNP 10_1101-2021_01_06_425544 174 3 power power NN 10_1101-2021_01_06_425544 174 4 spectrum spectrum NN 10_1101-2021_01_06_425544 174 5 for for IN 10_1101-2021_01_06_425544 174 6 the the DT 10_1101-2021_01_06_425544 174 7 infection infection NN 10_1101-2021_01_06_425544 174 8 rates rate NNS 10_1101-2021_01_06_425544 174 9 ( ( -LRB- 10_1101-2021_01_06_425544 174 10 Figure figure NN 10_1101-2021_01_06_425544 174 11 8C 8c NN 10_1101-2021_01_06_425544 174 12 ) ) -RRB- 10_1101-2021_01_06_425544 174 13 indicates indicate VBZ 10_1101-2021_01_06_425544 174 14 similar similar JJ 10_1101-2021_01_06_425544 174 15 periodic periodic JJ 10_1101-2021_01_06_425544 174 16 patterns pattern NNS 10_1101-2021_01_06_425544 174 17 as as IN 10_1101-2021_01_06_425544 174 18 in in IN 10_1101-2021_01_06_425544 174 19 the the DT 10_1101-2021_01_06_425544 174 20 periodograms periodogram NNS 10_1101-2021_01_06_425544 174 21 of of IN 10_1101-2021_01_06_425544 174 22 Figure figure NN 10_1101-2021_01_06_425544 174 23 8B. 8B. . 10_1101-2021_01_06_425544 175 1 These these DT 10_1101-2021_01_06_425544 175 2 patterns pattern NNS 10_1101-2021_01_06_425544 175 3 are be VBP 10_1101-2021_01_06_425544 175 4 less less RBR 10_1101-2021_01_06_425544 175 5 prominent prominent JJ 10_1101-2021_01_06_425544 175 6 due due IN 10_1101-2021_01_06_425544 175 7 to to IN 10_1101-2021_01_06_425544 175 8 the the DT 10_1101-2021_01_06_425544 175 9 adjustment adjustment NN 10_1101-2021_01_06_425544 175 10 to to IN 10_1101-2021_01_06_425544 175 11 the the DT 10_1101-2021_01_06_425544 175 12 same same JJ 10_1101-2021_01_06_425544 175 13 y y NN 10_1101-2021_01_06_425544 175 14 - - HYPH 10_1101-2021_01_06_425544 175 15 axis axis NNP 10_1101-2021_01_06_425544 175 16 scale scale NN 10_1101-2021_01_06_425544 175 17 ( ( -LRB- 10_1101-2021_01_06_425544 175 18 the the DT 10_1101-2021_01_06_425544 175 19 scale scale NN 10_1101-2021_01_06_425544 175 20 reflects reflect VBZ 10_1101-2021_01_06_425544 175 21 the the DT 10_1101-2021_01_06_425544 175 22 magnitude magnitude NN 10_1101-2021_01_06_425544 175 23 of of IN 10_1101-2021_01_06_425544 175 24 the the DT 10_1101-2021_01_06_425544 175 25 positive positive JJ 10_1101-2021_01_06_425544 175 26 rates rate NNS 10_1101-2021_01_06_425544 175 27 , , , 10_1101-2021_01_06_425544 175 28 the the DT 10_1101-2021_01_06_425544 175 29 shape shape NN 10_1101-2021_01_06_425544 175 30 shows show VBZ 10_1101-2021_01_06_425544 175 31 the the DT 10_1101-2021_01_06_425544 175 32 evolution evolution NN 10_1101-2021_01_06_425544 175 33 of of IN 10_1101-2021_01_06_425544 175 34 the the DT 10_1101-2021_01_06_425544 175 35 disease disease NN 10_1101-2021_01_06_425544 175 36 ) ) -RRB- 10_1101-2021_01_06_425544 175 37 . . . 10_1101-2021_01_06_425544 176 1 We -PRON- PRP 10_1101-2021_01_06_425544 176 2 conducted conduct VBD 10_1101-2021_01_06_425544 176 3 bivariate bivariate JJ 10_1101-2021_01_06_425544 176 4 wavelet wavelet NN 10_1101-2021_01_06_425544 176 5 analysis analysis NN 10_1101-2021_01_06_425544 176 6 on on IN 10_1101-2021_01_06_425544 176 7 the the DT 10_1101-2021_01_06_425544 176 8 time time NN 10_1101-2021_01_06_425544 176 9 - - HYPH 10_1101-2021_01_06_425544 176 10 lagged lag VBN 10_1101-2021_01_06_425544 176 11 data datum NNS 10_1101-2021_01_06_425544 176 12 ( ( -LRB- 10_1101-2021_01_06_425544 176 13 Figure figure NN 10_1101-2021_01_06_425544 176 14 9A 9a NN 10_1101-2021_01_06_425544 176 15 and and CC 10_1101-2021_01_06_425544 176 16 Figure figure NN 10_1101-2021_01_06_425544 176 17 S4 s4 NN 10_1101-2021_01_06_425544 176 18 ) ) -RRB- 10_1101-2021_01_06_425544 176 19 . . . 10_1101-2021_01_06_425544 177 1 The the DT 10_1101-2021_01_06_425544 177 2 shared share VBN 10_1101-2021_01_06_425544 177 3 synchronicity synchronicity NN 10_1101-2021_01_06_425544 177 4 segments segment NNS 10_1101-2021_01_06_425544 177 5 between between IN 10_1101-2021_01_06_425544 177 6 x(t x(t NNP 10_1101-2021_01_06_425544 177 7 ) ) -RRB- 10_1101-2021_01_06_425544 177 8 and and CC 10_1101-2021_01_06_425544 177 9 x(t+n x(t+n NNP 10_1101-2021_01_06_425544 177 10 ) ) -RRB- 10_1101-2021_01_06_425544 177 11 can can MD 10_1101-2021_01_06_425544 177 12 be be VB 10_1101-2021_01_06_425544 177 13 grouped group VBN 10_1101-2021_01_06_425544 177 14 into into IN 10_1101-2021_01_06_425544 177 15 shorter short JJR 10_1101-2021_01_06_425544 177 16 periods period NNS 10_1101-2021_01_06_425544 177 17 ( ( -LRB- 10_1101-2021_01_06_425544 177 18 around around RB 10_1101-2021_01_06_425544 177 19 7 7 CD 10_1101-2021_01_06_425544 177 20 days day NNS 10_1101-2021_01_06_425544 177 21 ) ) -RRB- 10_1101-2021_01_06_425544 177 22 and and CC 10_1101-2021_01_06_425544 177 23 longer long JJR 10_1101-2021_01_06_425544 177 24 periods period NNS 10_1101-2021_01_06_425544 177 25 ( ( -LRB- 10_1101-2021_01_06_425544 177 26 approximately approximately RB 10_1101-2021_01_06_425544 177 27 3 3 CD 10_1101-2021_01_06_425544 177 28 weeks week NNS 10_1101-2021_01_06_425544 177 29 , , , 10_1101-2021_01_06_425544 177 30 1 1 CD 10_1101-2021_01_06_425544 177 31 month month NN 10_1101-2021_01_06_425544 177 32 , , , 10_1101-2021_01_06_425544 177 33 2 2 CD 10_1101-2021_01_06_425544 177 34 months month NNS 10_1101-2021_01_06_425544 177 35 ) ) -RRB- 10_1101-2021_01_06_425544 177 36 . . . 10_1101-2021_01_06_425544 178 1 New New NNP 10_1101-2021_01_06_425544 178 2 York York NNP 10_1101-2021_01_06_425544 178 3 does do VBZ 10_1101-2021_01_06_425544 178 4 not not RB 10_1101-2021_01_06_425544 178 5 display display VB 10_1101-2021_01_06_425544 178 6 substantial substantial JJ 10_1101-2021_01_06_425544 178 7 joint joint JJ 10_1101-2021_01_06_425544 178 8 short short JJ 10_1101-2021_01_06_425544 178 9 periods period NNS 10_1101-2021_01_06_425544 178 10 . . . 10_1101-2021_01_06_425544 179 1 Ohio Ohio NNP 10_1101-2021_01_06_425544 179 2 and and CC 10_1101-2021_01_06_425544 179 3 Texas Texas NNP 10_1101-2021_01_06_425544 179 4 mainly mainly RB 10_1101-2021_01_06_425544 179 5 have have VBP 10_1101-2021_01_06_425544 179 6 correlation correlation NN 10_1101-2021_01_06_425544 179 7 at at IN 10_1101-2021_01_06_425544 179 8 the the DT 10_1101-2021_01_06_425544 179 9 end end NN 10_1101-2021_01_06_425544 179 10 of of IN 10_1101-2021_01_06_425544 179 11 the the DT 10_1101-2021_01_06_425544 179 12 series series NN 10_1101-2021_01_06_425544 179 13 around around IN 10_1101-2021_01_06_425544 179 14 the the DT 10_1101-2021_01_06_425544 179 15 7-day 7-day NNP 10_1101-2021_01_06_425544 179 16 period period NN 10_1101-2021_01_06_425544 179 17 . . . 10_1101-2021_01_06_425544 180 1 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 180 2 experiences experience VBZ 10_1101-2021_01_06_425544 180 3 joint joint JJ 10_1101-2021_01_06_425544 180 4 periodicity periodicity NN 10_1101-2021_01_06_425544 180 5 around around IN 10_1101-2021_01_06_425544 180 6 the the DT 10_1101-2021_01_06_425544 180 7 7-day 7-day NNP 10_1101-2021_01_06_425544 180 8 period period NN 10_1101-2021_01_06_425544 180 9 at at IN 10_1101-2021_01_06_425544 180 10 the the DT 10_1101-2021_01_06_425544 180 11 early early JJ 10_1101-2021_01_06_425544 180 12 stage stage NN 10_1101-2021_01_06_425544 180 13 of of IN 10_1101-2021_01_06_425544 180 14 the the DT 10_1101-2021_01_06_425544 180 15 series series NN 10_1101-2021_01_06_425544 180 16 . . . 10_1101-2021_01_06_425544 181 1 Florida Florida NNP 10_1101-2021_01_06_425544 181 2 and and CC 10_1101-2021_01_06_425544 181 3 California California NNP 10_1101-2021_01_06_425544 181 4 have have VBP 10_1101-2021_01_06_425544 181 5 joint joint JJ 10_1101-2021_01_06_425544 181 6 periods period NNS 10_1101-2021_01_06_425544 181 7 in in IN 10_1101-2021_01_06_425544 181 8 the the DT 10_1101-2021_01_06_425544 181 9 middle middle NN 10_1101-2021_01_06_425544 181 10 of of IN 10_1101-2021_01_06_425544 181 11 the the DT 10_1101-2021_01_06_425544 181 12 observation observation NN 10_1101-2021_01_06_425544 181 13 time time NN 10_1101-2021_01_06_425544 181 14 frame frame NN 10_1101-2021_01_06_425544 181 15 . . . 10_1101-2021_01_06_425544 182 1 The the DT 10_1101-2021_01_06_425544 182 2 levels level NNS 10_1101-2021_01_06_425544 182 3 of of IN 10_1101-2021_01_06_425544 182 4 average average JJ 10_1101-2021_01_06_425544 182 5 cross cross JJ 10_1101-2021_01_06_425544 182 6 - - JJ 10_1101-2021_01_06_425544 182 7 wavelet wavelet JJ 10_1101-2021_01_06_425544 182 8 power power NN 10_1101-2021_01_06_425544 182 9 are be VBP 10_1101-2021_01_06_425544 182 10 higher high JJR 10_1101-2021_01_06_425544 182 11 in in IN 10_1101-2021_01_06_425544 182 12 states state NNS 10_1101-2021_01_06_425544 182 13 with with IN 10_1101-2021_01_06_425544 182 14 poor poor JJ 10_1101-2021_01_06_425544 182 15 control control NN 10_1101-2021_01_06_425544 182 16 ( ( -LRB- 10_1101-2021_01_06_425544 182 17 x x NN 10_1101-2021_01_06_425544 182 18 - - NNS 10_1101-2021_01_06_425544 182 19 axes axis NNS 10_1101-2021_01_06_425544 182 20 scales scale NNS 10_1101-2021_01_06_425544 182 21 for for IN 10_1101-2021_01_06_425544 182 22 Florida Florida NNP 10_1101-2021_01_06_425544 182 23 , , , 10_1101-2021_01_06_425544 182 24 Ohio Ohio NNP 10_1101-2021_01_06_425544 182 25 ) ) -RRB- 10_1101-2021_01_06_425544 182 26 . . . 10_1101-2021_01_06_425544 183 1 The the DT 10_1101-2021_01_06_425544 183 2 peak peak NN 10_1101-2021_01_06_425544 183 3 power power NN 10_1101-2021_01_06_425544 183 4 shifts shift NNS 10_1101-2021_01_06_425544 183 5 toward toward IN 10_1101-2021_01_06_425544 183 6 higher high JJR 10_1101-2021_01_06_425544 183 7 periodicity periodicity NN 10_1101-2021_01_06_425544 183 8 with with IN 10_1101-2021_01_06_425544 183 9 improved improved JJ 10_1101-2021_01_06_425544 183 10 control control NN 10_1101-2021_01_06_425544 183 11 ( ( -LRB- 10_1101-2021_01_06_425544 183 12 y y NNP 10_1101-2021_01_06_425544 183 13 - - HYPH 10_1101-2021_01_06_425544 183 14 axes axes NNP 10_1101-2021_01_06_425544 183 15 scales scale NNS 10_1101-2021_01_06_425544 183 16 for for IN 10_1101-2021_01_06_425544 183 17 New New NNP 10_1101-2021_01_06_425544 183 18 York York NNP 10_1101-2021_01_06_425544 183 19 , , , 10_1101-2021_01_06_425544 183 20 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 183 21 ) ) -RRB- 10_1101-2021_01_06_425544 183 22 . . . 10_1101-2021_01_06_425544 184 1 The the DT 10_1101-2021_01_06_425544 184 2 return return NN 10_1101-2021_01_06_425544 184 3 plots plot NNS 10_1101-2021_01_06_425544 184 4 in in IN 10_1101-2021_01_06_425544 184 5 3 3 CD 10_1101-2021_01_06_425544 184 6 dimensions dimension NNS 10_1101-2021_01_06_425544 184 7 , , , 10_1101-2021_01_06_425544 184 8 utilizing utilize VBG 10_1101-2021_01_06_425544 184 9 the the DT 10_1101-2021_01_06_425544 184 10 same same JJ 10_1101-2021_01_06_425544 184 11 time time NN 10_1101-2021_01_06_425544 184 12 lags lag NNS 10_1101-2021_01_06_425544 184 13 as as IN 10_1101-2021_01_06_425544 184 14 for for IN 10_1101-2021_01_06_425544 184 15 the the DT 10_1101-2021_01_06_425544 184 16 countries country NNS 10_1101-2021_01_06_425544 184 17 , , , 10_1101-2021_01_06_425544 184 18 seemed seem VBD 10_1101-2021_01_06_425544 184 19 to to TO 10_1101-2021_01_06_425544 184 20 reflect reflect VB 10_1101-2021_01_06_425544 184 21 contraction contraction NN 10_1101-2021_01_06_425544 184 22 of of IN 10_1101-2021_01_06_425544 184 23 the the DT 10_1101-2021_01_06_425544 184 24 attractor attractor NN 10_1101-2021_01_06_425544 184 25 in in IN 10_1101-2021_01_06_425544 184 26 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 184 27 , , , 10_1101-2021_01_06_425544 184 28 cyclicity cyclicity NN 10_1101-2021_01_06_425544 184 29 in in IN 10_1101-2021_01_06_425544 184 30 New New NNP 10_1101-2021_01_06_425544 184 31 York York NNP 10_1101-2021_01_06_425544 184 32 , , , 10_1101-2021_01_06_425544 184 33 Florida Florida NNP 10_1101-2021_01_06_425544 184 34 and and CC 10_1101-2021_01_06_425544 184 35 California California NNP 10_1101-2021_01_06_425544 184 36 , , , 10_1101-2021_01_06_425544 184 37 no no DT 10_1101-2021_01_06_425544 184 38 containment containment NN 10_1101-2021_01_06_425544 184 39 in in IN 10_1101-2021_01_06_425544 184 40 Texas Texas NNP 10_1101-2021_01_06_425544 184 41 , , , 10_1101-2021_01_06_425544 184 42 and and CC 10_1101-2021_01_06_425544 184 43 an an DT 10_1101-2021_01_06_425544 184 44 ejecting eject VBG 10_1101-2021_01_06_425544 184 45 diagonal diagonal JJ 10_1101-2021_01_06_425544 184 46 in in IN 10_1101-2021_01_06_425544 184 47 Ohio Ohio NNP 10_1101-2021_01_06_425544 184 48 which which WDT 10_1101-2021_01_06_425544 184 49 may may MD 10_1101-2021_01_06_425544 184 50 reflect reflect VB 10_1101-2021_01_06_425544 184 51 exacerbation exacerbation NN 10_1101-2021_01_06_425544 184 52 ( ( -LRB- 10_1101-2021_01_06_425544 184 53 Figure figure NN 10_1101-2021_01_06_425544 184 54 9B 9b NN 10_1101-2021_01_06_425544 184 55 ) ) -RRB- 10_1101-2021_01_06_425544 184 56 . . . 10_1101-2021_01_06_425544 185 1 The the DT 10_1101-2021_01_06_425544 185 2 embedding embed VBG 10_1101-2021_01_06_425544 185 3 dimensions dimension NNS 10_1101-2021_01_06_425544 185 4 varies vary VBZ 10_1101-2021_01_06_425544 185 5 among among IN 10_1101-2021_01_06_425544 185 6 states state NNS 10_1101-2021_01_06_425544 185 7 , , , 10_1101-2021_01_06_425544 185 8 such such JJ 10_1101-2021_01_06_425544 185 9 that that IN 10_1101-2021_01_06_425544 185 10 the the DT 10_1101-2021_01_06_425544 185 11 most most RBS 10_1101-2021_01_06_425544 185 12 contained contain VBN 10_1101-2021_01_06_425544 185 13 states state NNS 10_1101-2021_01_06_425544 185 14 ( ( -LRB- 10_1101-2021_01_06_425544 185 15 New New NNP 10_1101-2021_01_06_425544 185 16 York York NNP 10_1101-2021_01_06_425544 185 17 , , , 10_1101-2021_01_06_425544 185 18 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 185 19 ) ) -RRB- 10_1101-2021_01_06_425544 185 20 have have VBP 10_1101-2021_01_06_425544 185 21 the the DT 10_1101-2021_01_06_425544 185 22 lowest low JJS 10_1101-2021_01_06_425544 185 23 embedding embedding NN 10_1101-2021_01_06_425544 185 24 dimension dimension NN 10_1101-2021_01_06_425544 185 25 ( ( -LRB- 10_1101-2021_01_06_425544 185 26 Table table NN 10_1101-2021_01_06_425544 185 27 1 1 CD 10_1101-2021_01_06_425544 185 28 ) ) -RRB- 10_1101-2021_01_06_425544 185 29 . . . 10_1101-2021_01_06_425544 186 1 The the DT 10_1101-2021_01_06_425544 186 2 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 186 3 for for IN 10_1101-2021_01_06_425544 186 4 return return NN 10_1101-2021_01_06_425544 186 5 plots plot NNS 10_1101-2021_01_06_425544 186 6 of of IN 10_1101-2021_01_06_425544 186 7 increasing increase VBG 10_1101-2021_01_06_425544 186 8 lags lag NNS 10_1101-2021_01_06_425544 186 9 show show VBP 10_1101-2021_01_06_425544 186 10 a a DT 10_1101-2021_01_06_425544 186 11 progressive progressive JJ 10_1101-2021_01_06_425544 186 12 decline decline NN 10_1101-2021_01_06_425544 186 13 in in IN 10_1101-2021_01_06_425544 186 14 the the DT 10_1101-2021_01_06_425544 186 15 numbers number NNS 10_1101-2021_01_06_425544 186 16 of of IN 10_1101-2021_01_06_425544 186 17 New New NNP 10_1101-2021_01_06_425544 186 18 York York NNP 10_1101-2021_01_06_425544 186 19 and and CC 10_1101-2021_01_06_425544 186 20 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 186 21 , , , 10_1101-2021_01_06_425544 186 22 which which WDT 10_1101-2021_01_06_425544 186 23 implemented implement VBD 10_1101-2021_01_06_425544 186 24 strong strong JJ 10_1101-2021_01_06_425544 186 25 containment containment NN 10_1101-2021_01_06_425544 186 26 measures measure NNS 10_1101-2021_01_06_425544 186 27 after after IN 10_1101-2021_01_06_425544 186 28 having have VBG 10_1101-2021_01_06_425544 186 29 been be VBN 10_1101-2021_01_06_425544 186 30 afflicted afflict VBN 10_1101-2021_01_06_425544 186 31 early early RB 10_1101-2021_01_06_425544 186 32 . . . 10_1101-2021_01_06_425544 187 1 The the DT 10_1101-2021_01_06_425544 187 2 values value NNS 10_1101-2021_01_06_425544 187 3 decline decline VBP 10_1101-2021_01_06_425544 187 4 less less RBR 10_1101-2021_01_06_425544 187 5 steeply steeply RB 10_1101-2021_01_06_425544 187 6 for for IN 10_1101-2021_01_06_425544 187 7 Texas Texas NNP 10_1101-2021_01_06_425544 187 8 and and CC 10_1101-2021_01_06_425544 187 9 California California NNP 10_1101-2021_01_06_425544 187 10 . . . 10_1101-2021_01_06_425544 188 1 Ohio Ohio NNP 10_1101-2021_01_06_425544 188 2 displays display VBZ 10_1101-2021_01_06_425544 188 3 an an DT 10_1101-2021_01_06_425544 188 4 anomaly anomaly NN 10_1101-2021_01_06_425544 188 5 with with IN 10_1101-2021_01_06_425544 188 6 increasing increase VBG 10_1101-2021_01_06_425544 188 7 values value NNS 10_1101-2021_01_06_425544 188 8 for for IN 10_1101-2021_01_06_425544 188 9 very very RB 10_1101-2021_01_06_425544 188 10 long long JJ 10_1101-2021_01_06_425544 188 11 lags lag NNS 10_1101-2021_01_06_425544 188 12 . . . 10_1101-2021_01_06_425544 189 1 The the DT 10_1101-2021_01_06_425544 189 2 state state NN 10_1101-2021_01_06_425544 189 3 , , , 10_1101-2021_01_06_425544 189 4 while while IN 10_1101-2021_01_06_425544 189 5 not not RB 10_1101-2021_01_06_425544 189 6 heavily heavily RB 10_1101-2021_01_06_425544 189 7 afflicted afflict VBN 10_1101-2021_01_06_425544 189 8 on on IN 10_1101-2021_01_06_425544 189 9 a a DT 10_1101-2021_01_06_425544 189 10 per per FW 10_1101-2021_01_06_425544 189 11 capita capita FW 10_1101-2021_01_06_425544 189 12 basis basis NN 10_1101-2021_01_06_425544 189 13 , , , 10_1101-2021_01_06_425544 189 14 never never RB 10_1101-2021_01_06_425544 189 15 achieved achieve VBD 10_1101-2021_01_06_425544 189 16 containment containment NN 10_1101-2021_01_06_425544 189 17 , , , 10_1101-2021_01_06_425544 189 18 only only RB 10_1101-2021_01_06_425544 189 19 a a DT 10_1101-2021_01_06_425544 189 20 stationary stationary JJ 10_1101-2021_01_06_425544 189 21 level level NN 10_1101-2021_01_06_425544 189 22 , , , 10_1101-2021_01_06_425544 189 23 and and CC 10_1101-2021_01_06_425544 189 24 has have VBZ 10_1101-2021_01_06_425544 189 25 since since IN 10_1101-2021_01_06_425544 189 26 experienced experience VBN 10_1101-2021_01_06_425544 189 27 another another DT 10_1101-2021_01_06_425544 189 28 wave wave NN 10_1101-2021_01_06_425544 189 29 ( ( -LRB- 10_1101-2021_01_06_425544 189 30 Figure Figure NNP 10_1101-2021_01_06_425544 189 31 10A 10A NNP 10_1101-2021_01_06_425544 189 32 ) ) -RRB- 10_1101-2021_01_06_425544 189 33 . . . 10_1101-2021_01_06_425544 190 1 Up up IN 10_1101-2021_01_06_425544 190 2 to to IN 10_1101-2021_01_06_425544 190 3 a a DT 10_1101-2021_01_06_425544 190 4 maximum maximum JJ 10_1101-2021_01_06_425544 190 5 lag lag NN 10_1101-2021_01_06_425544 190 6 of of IN 10_1101-2021_01_06_425544 190 7 49 49 CD 10_1101-2021_01_06_425544 190 8 days day NNS 10_1101-2021_01_06_425544 190 9 , , , 10_1101-2021_01_06_425544 190 10 the the DT 10_1101-2021_01_06_425544 190 11 average average JJ 10_1101-2021_01_06_425544 190 12 mutual mutual JJ 10_1101-2021_01_06_425544 190 13 information information NN 10_1101-2021_01_06_425544 190 14 for for IN 10_1101-2021_01_06_425544 190 15 the the DT 10_1101-2021_01_06_425544 190 16 6 6 CD 10_1101-2021_01_06_425544 190 17 US US NNP 10_1101-2021_01_06_425544 190 18 states state NNS 10_1101-2021_01_06_425544 190 19 under under IN 10_1101-2021_01_06_425544 190 20 study study NN 10_1101-2021_01_06_425544 190 21 ranges range NNS 10_1101-2021_01_06_425544 190 22 between between IN 10_1101-2021_01_06_425544 190 23 1.0 1.0 CD 10_1101-2021_01_06_425544 190 24 and and CC 10_1101-2021_01_06_425544 190 25 2.0 2.0 CD 10_1101-2021_01_06_425544 190 26 . . . 10_1101-2021_01_06_425544 191 1 Overall overall RB 10_1101-2021_01_06_425544 191 2 , , , 10_1101-2021_01_06_425544 191 3 all all DT 10_1101-2021_01_06_425544 191 4 states state NNS 10_1101-2021_01_06_425544 191 5 show show VBP 10_1101-2021_01_06_425544 191 6 a a DT 10_1101-2021_01_06_425544 191 7 slightly slightly RB 10_1101-2021_01_06_425544 191 8 decreasing decrease VBG 10_1101-2021_01_06_425544 191 9 pattern pattern NN 10_1101-2021_01_06_425544 191 10 except except IN 10_1101-2021_01_06_425544 191 11 for for IN 10_1101-2021_01_06_425544 191 12 California California NNP 10_1101-2021_01_06_425544 191 13 , , , 10_1101-2021_01_06_425544 191 14 which which WDT 10_1101-2021_01_06_425544 191 15 is be VBZ 10_1101-2021_01_06_425544 191 16 relatively relatively RB 10_1101-2021_01_06_425544 191 17 leveled level VBN 10_1101-2021_01_06_425544 191 18 at at IN 10_1101-2021_01_06_425544 191 19 a a DT 10_1101-2021_01_06_425544 191 20 value value NN 10_1101-2021_01_06_425544 191 21 of of IN 10_1101-2021_01_06_425544 191 22 2.0 2.0 CD 10_1101-2021_01_06_425544 191 23 ( ( -LRB- 10_1101-2021_01_06_425544 191 24 Figure Figure NNP 10_1101-2021_01_06_425544 191 25 10B 10B NNP 10_1101-2021_01_06_425544 191 26 ) ) -RRB- 10_1101-2021_01_06_425544 191 27 . . . 10_1101-2021_01_06_425544 192 1 Unexpectedly unexpectedly RB 10_1101-2021_01_06_425544 192 2 , , , 10_1101-2021_01_06_425544 192 3 the the DT 10_1101-2021_01_06_425544 192 4 box box NN 10_1101-2021_01_06_425544 192 5 counting count VBG 10_1101-2021_01_06_425544 192 6 dimension dimension NN 10_1101-2021_01_06_425544 192 7 ( ( -LRB- 10_1101-2021_01_06_425544 192 8 Figure Figure NNP 10_1101-2021_01_06_425544 192 9 10C 10c CD 10_1101-2021_01_06_425544 192 10 ) ) -RRB- 10_1101-2021_01_06_425544 192 11 is be VBZ 10_1101-2021_01_06_425544 192 12 less less RBR 10_1101-2021_01_06_425544 192 13 discerning discerning JJ 10_1101-2021_01_06_425544 192 14 than than IN 10_1101-2021_01_06_425544 192 15 it -PRON- PRP 10_1101-2021_01_06_425544 192 16 was be VBD 10_1101-2021_01_06_425544 192 17 for for IN 10_1101-2021_01_06_425544 192 18 the the DT 10_1101-2021_01_06_425544 192 19 evaluation evaluation NN 10_1101-2021_01_06_425544 192 20 across across IN 10_1101-2021_01_06_425544 192 21 countries country NNS 10_1101-2021_01_06_425544 192 22 . . . 10_1101-2021_01_06_425544 193 1 This this DT 10_1101-2021_01_06_425544 193 2 may may MD 10_1101-2021_01_06_425544 193 3 be be VB 10_1101-2021_01_06_425544 193 4 due due IN 10_1101-2021_01_06_425544 193 5 to to IN 10_1101-2021_01_06_425544 193 6 the the DT 10_1101-2021_01_06_425544 193 7 much much RB 10_1101-2021_01_06_425544 193 8 lower low JJR 10_1101-2021_01_06_425544 193 9 power power NN 10_1101-2021_01_06_425544 193 10 conveyed convey VBN 10_1101-2021_01_06_425544 193 11 by by IN 10_1101-2021_01_06_425544 193 12 smaller small JJR 10_1101-2021_01_06_425544 193 13 population population NN 10_1101-2021_01_06_425544 193 14 sizes size NNS 10_1101-2021_01_06_425544 193 15 . . . 10_1101-2021_01_06_425544 194 1 .CC .CC NFP 10_1101-2021_01_06_425544 194 2 - - : 10_1101-2021_01_06_425544 194 3 BY by IN 10_1101-2021_01_06_425544 194 4 4.0 4.0 CD 10_1101-2021_01_06_425544 194 5 International International NNP 10_1101-2021_01_06_425544 194 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 194 7 under under IN 10_1101-2021_01_06_425544 194 8 a a DT 10_1101-2021_01_06_425544 194 9 ( ( -LRB- 10_1101-2021_01_06_425544 194 10 which which WDT 10_1101-2021_01_06_425544 194 11 was be VBD 10_1101-2021_01_06_425544 194 12 not not RB 10_1101-2021_01_06_425544 194 13 certified certify VBN 10_1101-2021_01_06_425544 194 14 by by IN 10_1101-2021_01_06_425544 194 15 peer peer NN 10_1101-2021_01_06_425544 194 16 review review NN 10_1101-2021_01_06_425544 194 17 ) ) -RRB- 10_1101-2021_01_06_425544 194 18 is be VBZ 10_1101-2021_01_06_425544 194 19 the the DT 10_1101-2021_01_06_425544 194 20 author author NN 10_1101-2021_01_06_425544 194 21 / / SYM 10_1101-2021_01_06_425544 194 22 funder funder NN 10_1101-2021_01_06_425544 194 23 , , , 10_1101-2021_01_06_425544 194 24 who who WP 10_1101-2021_01_06_425544 194 25 has have VBZ 10_1101-2021_01_06_425544 194 26 granted grant VBN 10_1101-2021_01_06_425544 194 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 194 28 a a DT 10_1101-2021_01_06_425544 194 29 license license NN 10_1101-2021_01_06_425544 194 30 to to TO 10_1101-2021_01_06_425544 194 31 display display VB 10_1101-2021_01_06_425544 194 32 the the DT 10_1101-2021_01_06_425544 194 33 preprint preprint NN 10_1101-2021_01_06_425544 194 34 in in IN 10_1101-2021_01_06_425544 194 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 194 36 . . . 10_1101-2021_01_06_425544 195 1 It -PRON- PRP 10_1101-2021_01_06_425544 195 2 is be VBZ 10_1101-2021_01_06_425544 195 3 made make VBN 10_1101-2021_01_06_425544 195 4 The the DT 10_1101-2021_01_06_425544 195 5 copyright copyright NN 10_1101-2021_01_06_425544 195 6 holder holder NN 10_1101-2021_01_06_425544 195 7 for for IN 10_1101-2021_01_06_425544 195 8 this this DT 10_1101-2021_01_06_425544 195 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 195 10 version version NN 10_1101-2021_01_06_425544 195 11 posted post VBD 10_1101-2021_01_06_425544 195 12 January January NNP 10_1101-2021_01_06_425544 195 13 6 6 CD 10_1101-2021_01_06_425544 195 14 , , , 10_1101-2021_01_06_425544 195 15 2021 2021 CD 10_1101-2021_01_06_425544 195 16 . . . 10_1101-2021_01_06_425544 195 17 ; ; : 10_1101-2021_01_06_425544 195 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 195 19 : : : 10_1101-2021_01_06_425544 195 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 195 21 preprint preprint NN 10_1101-2021_01_06_425544 195 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 195 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 195 24 Discussion discussion NN 10_1101-2021_01_06_425544 195 25 In in IN 10_1101-2021_01_06_425544 195 26 the the DT 10_1101-2021_01_06_425544 195 27 present present JJ 10_1101-2021_01_06_425544 195 28 investigation investigation NN 10_1101-2021_01_06_425544 195 29 we -PRON- PRP 10_1101-2021_01_06_425544 195 30 find find VBP 10_1101-2021_01_06_425544 195 31 that that IN 10_1101-2021_01_06_425544 195 32 the the DT 10_1101-2021_01_06_425544 195 33 analysis analysis NN 10_1101-2021_01_06_425544 195 34 tools tool NNS 10_1101-2021_01_06_425544 195 35 for for IN 10_1101-2021_01_06_425544 195 36 observed observe VBN 10_1101-2021_01_06_425544 195 37 complex complex JJ 10_1101-2021_01_06_425544 195 38 data datum NNS 10_1101-2021_01_06_425544 195 39 can can MD 10_1101-2021_01_06_425544 195 40 aid aid VB 10_1101-2021_01_06_425544 195 41 in in IN 10_1101-2021_01_06_425544 195 42 the the DT 10_1101-2021_01_06_425544 195 43 interpretation interpretation NN 10_1101-2021_01_06_425544 195 44 of of IN 10_1101-2021_01_06_425544 195 45 pandemic pandemic NN 10_1101-2021_01_06_425544 195 46 spread spread NN 10_1101-2021_01_06_425544 195 47 across across IN 10_1101-2021_01_06_425544 195 48 communities community NNS 10_1101-2021_01_06_425544 195 49 . . . 10_1101-2021_01_06_425544 196 1 Difficulties difficulty NNS 10_1101-2021_01_06_425544 196 2 in in IN 10_1101-2021_01_06_425544 196 3 analyzing analyze VBG 10_1101-2021_01_06_425544 196 4 the the DT 10_1101-2021_01_06_425544 196 5 non- non- NN 10_1101-2021_01_06_425544 196 6 linear linear JJ 10_1101-2021_01_06_425544 196 7 patters patter NNS 10_1101-2021_01_06_425544 196 8 of of IN 10_1101-2021_01_06_425544 196 9 infectious infectious JJ 10_1101-2021_01_06_425544 196 10 disease disease NN 10_1101-2021_01_06_425544 196 11 spread spread NN 10_1101-2021_01_06_425544 196 12 may may MD 10_1101-2021_01_06_425544 196 13 be be VB 10_1101-2021_01_06_425544 196 14 tamed tame VBN 10_1101-2021_01_06_425544 196 15 by by IN 10_1101-2021_01_06_425544 196 16 applying apply VBG 10_1101-2021_01_06_425544 196 17 the the DT 10_1101-2021_01_06_425544 196 18 tools tool NNS 10_1101-2021_01_06_425544 196 19 of of IN 10_1101-2021_01_06_425544 196 20 complex complex JJ 10_1101-2021_01_06_425544 196 21 systems system NNS 10_1101-2021_01_06_425544 196 22 research research NN 10_1101-2021_01_06_425544 196 23 . . . 10_1101-2021_01_06_425544 197 1 The the DT 10_1101-2021_01_06_425544 197 2 approach approach NN 10_1101-2021_01_06_425544 197 3 can can MD 10_1101-2021_01_06_425544 197 4 reveal reveal VB 10_1101-2021_01_06_425544 197 5 patterns pattern NNS 10_1101-2021_01_06_425544 197 6 , , , 10_1101-2021_01_06_425544 197 7 where where WRB 10_1101-2021_01_06_425544 197 8 a a DT 10_1101-2021_01_06_425544 197 9 simple simple JJ 10_1101-2021_01_06_425544 197 10 time time NN 10_1101-2021_01_06_425544 197 11 course course NN 10_1101-2021_01_06_425544 197 12 of of IN 10_1101-2021_01_06_425544 197 13 new new JJ 10_1101-2021_01_06_425544 197 14 cases case NNS 10_1101-2021_01_06_425544 197 15 does do VBZ 10_1101-2021_01_06_425544 197 16 not not RB 10_1101-2021_01_06_425544 197 17 . . . 10_1101-2021_01_06_425544 198 1 Further further RB 10_1101-2021_01_06_425544 198 2 , , , 10_1101-2021_01_06_425544 198 3 non non JJ 10_1101-2021_01_06_425544 198 4 - - JJ 10_1101-2021_01_06_425544 198 5 linear linear JJ 10_1101-2021_01_06_425544 198 6 analysis analysis NN 10_1101-2021_01_06_425544 198 7 allows allow VBZ 10_1101-2021_01_06_425544 198 8 the the DT 10_1101-2021_01_06_425544 198 9 study study NN 10_1101-2021_01_06_425544 198 10 into into IN 10_1101-2021_01_06_425544 198 11 various various JJ 10_1101-2021_01_06_425544 198 12 facets facet NNS 10_1101-2021_01_06_425544 198 13 of of IN 10_1101-2021_01_06_425544 198 14 the the DT 10_1101-2021_01_06_425544 198 15 process process NN 10_1101-2021_01_06_425544 198 16 , , , 10_1101-2021_01_06_425544 198 17 depending depend VBG 10_1101-2021_01_06_425544 198 18 on on IN 10_1101-2021_01_06_425544 198 19 whether whether IN 10_1101-2021_01_06_425544 198 20 the the DT 10_1101-2021_01_06_425544 198 21 starting starting NN 10_1101-2021_01_06_425544 198 22 data datum NNS 10_1101-2021_01_06_425544 198 23 are be VBP 10_1101-2021_01_06_425544 198 24 new new JJ 10_1101-2021_01_06_425544 198 25 cases case NNS 10_1101-2021_01_06_425544 198 26 , , , 10_1101-2021_01_06_425544 198 27 hospitalizations hospitalization NNS 10_1101-2021_01_06_425544 198 28 , , , 10_1101-2021_01_06_425544 198 29 deaths death NNS 10_1101-2021_01_06_425544 198 30 or or CC 10_1101-2021_01_06_425544 198 31 other other JJ 10_1101-2021_01_06_425544 198 32 readouts readout NNS 10_1101-2021_01_06_425544 198 33 . . . 10_1101-2021_01_06_425544 199 1 Maps map NNS 10_1101-2021_01_06_425544 199 2 can can MD 10_1101-2021_01_06_425544 199 3 be be VB 10_1101-2021_01_06_425544 199 4 generated generate VBN 10_1101-2021_01_06_425544 199 5 and and CC 10_1101-2021_01_06_425544 199 6 evaluated evaluate VBN 10_1101-2021_01_06_425544 199 7 for for IN 10_1101-2021_01_06_425544 199 8 their -PRON- PRP$ 10_1101-2021_01_06_425544 199 9 fractal fractal JJ 10_1101-2021_01_06_425544 199 10 dimensions dimension NNS 10_1101-2021_01_06_425544 199 11 [ [ -LRB- 10_1101-2021_01_06_425544 199 12 11 11 CD 10_1101-2021_01_06_425544 199 13 ] ] -RRB- 10_1101-2021_01_06_425544 199 14 . . . 10_1101-2021_01_06_425544 200 1 The the DT 10_1101-2021_01_06_425544 200 2 operational operational JJ 10_1101-2021_01_06_425544 200 3 approximation approximation NN 10_1101-2021_01_06_425544 200 4 of of IN 10_1101-2021_01_06_425544 200 5 Lyapunov Lyapunov NNP 10_1101-2021_01_06_425544 200 6 exponents exponent NNS 10_1101-2021_01_06_425544 200 7 may may MD 10_1101-2021_01_06_425544 200 8 be be VB 10_1101-2021_01_06_425544 200 9 meaningful meaningful JJ 10_1101-2021_01_06_425544 200 10 , , , 10_1101-2021_01_06_425544 200 11 although although IN 10_1101-2021_01_06_425544 200 12 they -PRON- PRP 10_1101-2021_01_06_425544 200 13 were be VBD 10_1101-2021_01_06_425544 200 14 largely largely RB 10_1101-2021_01_06_425544 200 15 uninformative uninformative JJ 10_1101-2021_01_06_425544 200 16 for for IN 10_1101-2021_01_06_425544 200 17 the the DT 10_1101-2021_01_06_425544 200 18 present present JJ 10_1101-2021_01_06_425544 200 19 study study NN 10_1101-2021_01_06_425544 200 20 ( ( -LRB- 10_1101-2021_01_06_425544 200 21 Supplemental Supplemental NNP 10_1101-2021_01_06_425544 200 22 Figure Figure NNP 10_1101-2021_01_06_425544 200 23 S5 s5 NN 10_1101-2021_01_06_425544 200 24 ) ) -RRB- 10_1101-2021_01_06_425544 200 25 . . . 10_1101-2021_01_06_425544 201 1 Among among IN 10_1101-2021_01_06_425544 201 2 the the DT 10_1101-2021_01_06_425544 201 3 countries country NNS 10_1101-2021_01_06_425544 201 4 analyzed analyze VBD 10_1101-2021_01_06_425544 201 5 , , , 10_1101-2021_01_06_425544 201 6 South South NNP 10_1101-2021_01_06_425544 201 7 Korea Korea NNP 10_1101-2021_01_06_425544 201 8 has have VBZ 10_1101-2021_01_06_425544 201 9 had have VBN 10_1101-2021_01_06_425544 201 10 the the DT 10_1101-2021_01_06_425544 201 11 most most RBS 10_1101-2021_01_06_425544 201 12 successful successful JJ 10_1101-2021_01_06_425544 201 13 control control NN 10_1101-2021_01_06_425544 201 14 of of IN 10_1101-2021_01_06_425544 201 15 the the DT 10_1101-2021_01_06_425544 201 16 pandemic pandemic NN 10_1101-2021_01_06_425544 201 17 spread spread NN 10_1101-2021_01_06_425544 201 18 according accord VBG 10_1101-2021_01_06_425544 201 19 to to IN 10_1101-2021_01_06_425544 201 20 low low JJ 10_1101-2021_01_06_425544 201 21 intensity intensity NN 10_1101-2021_01_06_425544 201 22 in in IN 10_1101-2021_01_06_425544 201 23 univariate univariate JJ 10_1101-2021_01_06_425544 201 24 wavelet wavelet NN 10_1101-2021_01_06_425544 201 25 analysis analysis NN 10_1101-2021_01_06_425544 201 26 , , , 10_1101-2021_01_06_425544 201 27 low low JJ 10_1101-2021_01_06_425544 201 28 spectral spectral JJ 10_1101-2021_01_06_425544 201 29 density density NN 10_1101-2021_01_06_425544 201 30 range range NN 10_1101-2021_01_06_425544 201 31 in in IN 10_1101-2021_01_06_425544 201 32 Fourier Fourier NNP 10_1101-2021_01_06_425544 201 33 analysis analysis NN 10_1101-2021_01_06_425544 201 34 , , , 10_1101-2021_01_06_425544 201 35 low low JJ 10_1101-2021_01_06_425544 201 36 spectral spectral JJ 10_1101-2021_01_06_425544 201 37 density density NN 10_1101-2021_01_06_425544 201 38 of of IN 10_1101-2021_01_06_425544 201 39 the the DT 10_1101-2021_01_06_425544 201 40 normalized normalized JJ 10_1101-2021_01_06_425544 201 41 rates rate NNS 10_1101-2021_01_06_425544 201 42 , , , 10_1101-2021_01_06_425544 201 43 a a DT 10_1101-2021_01_06_425544 201 44 reduction reduction NN 10_1101-2021_01_06_425544 201 45 in in IN 10_1101-2021_01_06_425544 201 46 cross- cross- JJ 10_1101-2021_01_06_425544 201 47 wavelet wavelet NN 10_1101-2021_01_06_425544 201 48 power power NN 10_1101-2021_01_06_425544 201 49 levels level NNS 10_1101-2021_01_06_425544 201 50 according accord VBG 10_1101-2021_01_06_425544 201 51 to to IN 10_1101-2021_01_06_425544 201 52 bivariate bivariate JJ 10_1101-2021_01_06_425544 201 53 wavelet wavelet NN 10_1101-2021_01_06_425544 201 54 analysis analysis NN 10_1101-2021_01_06_425544 201 55 and and CC 10_1101-2021_01_06_425544 201 56 longer long JJR 10_1101-2021_01_06_425544 201 57 periodicity periodicity NN 10_1101-2021_01_06_425544 201 58 in in IN 10_1101-2021_01_06_425544 201 59 the the DT 10_1101-2021_01_06_425544 201 60 distribution distribution NN 10_1101-2021_01_06_425544 201 61 of of IN 10_1101-2021_01_06_425544 201 62 cross cross JJ 10_1101-2021_01_06_425544 201 63 - - JJ 10_1101-2021_01_06_425544 201 64 wavelet wavelet JJ 10_1101-2021_01_06_425544 201 65 power power NN 10_1101-2021_01_06_425544 201 66 . . . 10_1101-2021_01_06_425544 202 1 Further further RB 10_1101-2021_01_06_425544 202 2 , , , 10_1101-2021_01_06_425544 202 3 declining decline VBG 10_1101-2021_01_06_425544 202 4 box box NN 10_1101-2021_01_06_425544 202 5 counting counting NN 10_1101-2021_01_06_425544 202 6 dimensions dimension NNS 10_1101-2021_01_06_425544 202 7 , , , 10_1101-2021_01_06_425544 202 8 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 202 9 values value NNS 10_1101-2021_01_06_425544 202 10 with with IN 10_1101-2021_01_06_425544 202 11 increasing increase VBG 10_1101-2021_01_06_425544 202 12 time time NN 10_1101-2021_01_06_425544 202 13 lag lag NN 10_1101-2021_01_06_425544 202 14 , , , 10_1101-2021_01_06_425544 202 15 and and CC 10_1101-2021_01_06_425544 202 16 decreasing decrease VBG 10_1101-2021_01_06_425544 202 17 trends trend NNS 10_1101-2021_01_06_425544 202 18 ( ( -LRB- 10_1101-2021_01_06_425544 202 19 at at IN 10_1101-2021_01_06_425544 202 20 a a DT 10_1101-2021_01_06_425544 202 21 low low JJ 10_1101-2021_01_06_425544 202 22 slope slope NN 10_1101-2021_01_06_425544 202 23 ) ) -RRB- 10_1101-2021_01_06_425544 202 24 in in IN 10_1101-2021_01_06_425544 202 25 average average JJ 10_1101-2021_01_06_425544 202 26 mutual mutual JJ 10_1101-2021_01_06_425544 202 27 information information NN 10_1101-2021_01_06_425544 202 28 confirm confirm VBP 10_1101-2021_01_06_425544 202 29 containment containment NN 10_1101-2021_01_06_425544 202 30 . . . 10_1101-2021_01_06_425544 203 1 Cyclical cyclical JJ 10_1101-2021_01_06_425544 203 2 patterns pattern NNS 10_1101-2021_01_06_425544 203 3 in in IN 10_1101-2021_01_06_425544 203 4 return return NN 10_1101-2021_01_06_425544 203 5 plots plot NNS 10_1101-2021_01_06_425544 203 6 , , , 10_1101-2021_01_06_425544 203 7 suggesting suggest VBG 10_1101-2021_01_06_425544 203 8 the the DT 10_1101-2021_01_06_425544 203 9 outlines outline NNS 10_1101-2021_01_06_425544 203 10 of of IN 10_1101-2021_01_06_425544 203 11 attractors attractor NNS 10_1101-2021_01_06_425544 203 12 , , , 10_1101-2021_01_06_425544 203 13 are be VBP 10_1101-2021_01_06_425544 203 14 apparent apparent JJ 10_1101-2021_01_06_425544 203 15 and and CC 10_1101-2021_01_06_425544 203 16 most most JJS 10_1101-2021_01_06_425544 203 17 data data NN 10_1101-2021_01_06_425544 203 18 points point NNS 10_1101-2021_01_06_425544 203 19 are be VBP 10_1101-2021_01_06_425544 203 20 concentrated concentrate VBN 10_1101-2021_01_06_425544 203 21 near near IN 10_1101-2021_01_06_425544 203 22 the the DT 10_1101-2021_01_06_425544 203 23 origin origin NN 10_1101-2021_01_06_425544 203 24 of of IN 10_1101-2021_01_06_425544 203 25 the the DT 10_1101-2021_01_06_425544 203 26 graph graph NN 10_1101-2021_01_06_425544 203 27 . . . 10_1101-2021_01_06_425544 204 1 Germany Germany NNP 10_1101-2021_01_06_425544 204 2 exhibited exhibit VBD 10_1101-2021_01_06_425544 204 3 good good JJ 10_1101-2021_01_06_425544 204 4 management management NN 10_1101-2021_01_06_425544 204 5 through through IN 10_1101-2021_01_06_425544 204 6 October October NNP 10_1101-2021_01_06_425544 204 7 2020 2020 CD 10_1101-2021_01_06_425544 204 8 according accord VBG 10_1101-2021_01_06_425544 204 9 to to IN 10_1101-2021_01_06_425544 204 10 univariate univariate JJ 10_1101-2021_01_06_425544 204 11 wavelet wavelet NN 10_1101-2021_01_06_425544 204 12 analysis analysis NN 10_1101-2021_01_06_425544 204 13 , , , 10_1101-2021_01_06_425544 204 14 spectral spectral JJ 10_1101-2021_01_06_425544 204 15 density density NN 10_1101-2021_01_06_425544 204 16 in in IN 10_1101-2021_01_06_425544 204 17 the the DT 10_1101-2021_01_06_425544 204 18 power power NN 10_1101-2021_01_06_425544 204 19 spectrum spectrum NN 10_1101-2021_01_06_425544 204 20 of of IN 10_1101-2021_01_06_425544 204 21 the the DT 10_1101-2021_01_06_425544 204 22 normalized normalized JJ 10_1101-2021_01_06_425544 204 23 rates rate NNS 10_1101-2021_01_06_425544 204 24 , , , 10_1101-2021_01_06_425544 204 25 a a DT 10_1101-2021_01_06_425544 204 26 reduction reduction NN 10_1101-2021_01_06_425544 204 27 of of IN 10_1101-2021_01_06_425544 204 28 cross- cross- JJ 10_1101-2021_01_06_425544 204 29 wavelet wavelet NN 10_1101-2021_01_06_425544 204 30 power power NN 10_1101-2021_01_06_425544 204 31 levels level NNS 10_1101-2021_01_06_425544 204 32 in in IN 10_1101-2021_01_06_425544 204 33 bivariate bivariate JJ 10_1101-2021_01_06_425544 204 34 wavelet wavelet NN 10_1101-2021_01_06_425544 204 35 analysis analysis NN 10_1101-2021_01_06_425544 204 36 , , , 10_1101-2021_01_06_425544 204 37 longer long JJR 10_1101-2021_01_06_425544 204 38 periodicity periodicity NN 10_1101-2021_01_06_425544 204 39 in in IN 10_1101-2021_01_06_425544 204 40 the the DT 10_1101-2021_01_06_425544 204 41 distribution distribution NN 10_1101-2021_01_06_425544 204 42 of of IN 10_1101-2021_01_06_425544 204 43 cross- cross- JJ 10_1101-2021_01_06_425544 204 44 wavelet wavelet NN 10_1101-2021_01_06_425544 204 45 power power NNP 10_1101-2021_01_06_425544 204 46 , , , 10_1101-2021_01_06_425544 204 47 a a DT 10_1101-2021_01_06_425544 204 48 dramatic dramatic JJ 10_1101-2021_01_06_425544 204 49 lowering lowering NN 10_1101-2021_01_06_425544 204 50 of of IN 10_1101-2021_01_06_425544 204 51 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 204 52 values value NNS 10_1101-2021_01_06_425544 204 53 at at IN 10_1101-2021_01_06_425544 204 54 a a DT 10_1101-2021_01_06_425544 204 55 lag lag NN 10_1101-2021_01_06_425544 204 56 of of IN 10_1101-2021_01_06_425544 204 57 21 21 CD 10_1101-2021_01_06_425544 204 58 and and CC 10_1101-2021_01_06_425544 204 59 above above RB 10_1101-2021_01_06_425544 204 60 , , , 10_1101-2021_01_06_425544 204 61 and and CC 10_1101-2021_01_06_425544 204 62 relatively relatively RB 10_1101-2021_01_06_425544 204 63 flat flat JJ 10_1101-2021_01_06_425544 204 64 average average JJ 10_1101-2021_01_06_425544 204 65 mutual mutual JJ 10_1101-2021_01_06_425544 204 66 information information NN 10_1101-2021_01_06_425544 204 67 values value NNS 10_1101-2021_01_06_425544 204 68 , , , 10_1101-2021_01_06_425544 204 69 staying stay VBG 10_1101-2021_01_06_425544 204 70 around around IN 10_1101-2021_01_06_425544 204 71 levels level NNS 10_1101-2021_01_06_425544 204 72 of of IN 10_1101-2021_01_06_425544 204 73 1.5 1.5 CD 10_1101-2021_01_06_425544 204 74 . . . 10_1101-2021_01_06_425544 205 1 Cyclical cyclical JJ 10_1101-2021_01_06_425544 205 2 patterns pattern NNS 10_1101-2021_01_06_425544 205 3 in in IN 10_1101-2021_01_06_425544 205 4 return return NN 10_1101-2021_01_06_425544 205 5 plots plot NNS 10_1101-2021_01_06_425544 205 6 suggest suggest VBP 10_1101-2021_01_06_425544 205 7 the the DT 10_1101-2021_01_06_425544 205 8 outlines outline NNS 10_1101-2021_01_06_425544 205 9 of of IN 10_1101-2021_01_06_425544 205 10 an an DT 10_1101-2021_01_06_425544 205 11 attractor attractor NN 10_1101-2021_01_06_425544 205 12 . . . 10_1101-2021_01_06_425544 206 1 Good good JJ 10_1101-2021_01_06_425544 206 2 control control NN 10_1101-2021_01_06_425544 206 3 by by IN 10_1101-2021_01_06_425544 206 4 Italy Italy NNP 10_1101-2021_01_06_425544 206 5 consecutive consecutive JJ 10_1101-2021_01_06_425544 206 6 to to IN 10_1101-2021_01_06_425544 206 7 the the DT 10_1101-2021_01_06_425544 206 8 early early JJ 10_1101-2021_01_06_425544 206 9 impact impact NN 10_1101-2021_01_06_425544 206 10 and and CC 10_1101-2021_01_06_425544 206 11 through through IN 10_1101-2021_01_06_425544 206 12 October October NNP 10_1101-2021_01_06_425544 206 13 2020 2020 CD 10_1101-2021_01_06_425544 206 14 is be VBZ 10_1101-2021_01_06_425544 206 15 reflected reflect VBN 10_1101-2021_01_06_425544 206 16 in in IN 10_1101-2021_01_06_425544 206 17 low low JJ 10_1101-2021_01_06_425544 206 18 intensity intensity NN 10_1101-2021_01_06_425544 206 19 and and CC 10_1101-2021_01_06_425544 206 20 fluctuation fluctuation NN 10_1101-2021_01_06_425544 206 21 when when WRB 10_1101-2021_01_06_425544 206 22 applying apply VBG 10_1101-2021_01_06_425544 206 23 univariate univariate JJ 10_1101-2021_01_06_425544 206 24 wavelet wavelet NN 10_1101-2021_01_06_425544 206 25 analysis analysis NN 10_1101-2021_01_06_425544 206 26 , , , 10_1101-2021_01_06_425544 206 27 in in IN 10_1101-2021_01_06_425544 206 28 a a DT 10_1101-2021_01_06_425544 206 29 reduction reduction NN 10_1101-2021_01_06_425544 206 30 of of IN 10_1101-2021_01_06_425544 206 31 cross cross JJ 10_1101-2021_01_06_425544 206 32 - - JJ 10_1101-2021_01_06_425544 206 33 wavelet wavelet JJ 10_1101-2021_01_06_425544 206 34 power power NN 10_1101-2021_01_06_425544 206 35 levels level NNS 10_1101-2021_01_06_425544 206 36 for for IN 10_1101-2021_01_06_425544 206 37 bivariate bivariate JJ 10_1101-2021_01_06_425544 206 38 wavelet wavelet NN 10_1101-2021_01_06_425544 206 39 analysis analysis NN 10_1101-2021_01_06_425544 206 40 of of IN 10_1101-2021_01_06_425544 206 41 time time NN 10_1101-2021_01_06_425544 206 42 - - HYPH 10_1101-2021_01_06_425544 206 43 delayed delay VBN 10_1101-2021_01_06_425544 206 44 data datum NNS 10_1101-2021_01_06_425544 206 45 , , , 10_1101-2021_01_06_425544 206 46 longer long JJR 10_1101-2021_01_06_425544 206 47 periodicity periodicity NN 10_1101-2021_01_06_425544 206 48 in in IN 10_1101-2021_01_06_425544 206 49 the the DT 10_1101-2021_01_06_425544 206 50 distribution distribution NN 10_1101-2021_01_06_425544 206 51 of of IN 10_1101-2021_01_06_425544 206 52 cross cross JJ 10_1101-2021_01_06_425544 206 53 - - JJ 10_1101-2021_01_06_425544 206 54 wavelet wavelet JJ 10_1101-2021_01_06_425544 206 55 power power NN 10_1101-2021_01_06_425544 206 56 , , , 10_1101-2021_01_06_425544 206 57 and and CC 10_1101-2021_01_06_425544 206 58 decreasing decrease VBG 10_1101-2021_01_06_425544 206 59 trends trend NNS 10_1101-2021_01_06_425544 206 60 ( ( -LRB- 10_1101-2021_01_06_425544 206 61 at at IN 10_1101-2021_01_06_425544 206 62 a a DT 10_1101-2021_01_06_425544 206 63 low low JJ 10_1101-2021_01_06_425544 206 64 slope slope NN 10_1101-2021_01_06_425544 206 65 ) ) -RRB- 10_1101-2021_01_06_425544 206 66 in in IN 10_1101-2021_01_06_425544 206 67 average average JJ 10_1101-2021_01_06_425544 206 68 mutual mutual JJ 10_1101-2021_01_06_425544 206 69 information information NN 10_1101-2021_01_06_425544 206 70 . . . 10_1101-2021_01_06_425544 207 1 Cyclical cyclical JJ 10_1101-2021_01_06_425544 207 2 patterns pattern NNS 10_1101-2021_01_06_425544 207 3 in in IN 10_1101-2021_01_06_425544 207 4 return return NN 10_1101-2021_01_06_425544 207 5 plots plot NNS 10_1101-2021_01_06_425544 207 6 , , , 10_1101-2021_01_06_425544 207 7 suggesting suggest VBG 10_1101-2021_01_06_425544 207 8 the the DT 10_1101-2021_01_06_425544 207 9 outlines outline NNS 10_1101-2021_01_06_425544 207 10 of of IN 10_1101-2021_01_06_425544 207 11 an an DT 10_1101-2021_01_06_425544 207 12 attractor attractor NN 10_1101-2021_01_06_425544 207 13 , , , 10_1101-2021_01_06_425544 207 14 are be VBP 10_1101-2021_01_06_425544 207 15 apparent apparent JJ 10_1101-2021_01_06_425544 207 16 . . . 10_1101-2021_01_06_425544 208 1 Poland Poland NNP 10_1101-2021_01_06_425544 208 2 had have VBD 10_1101-2021_01_06_425544 208 3 two two CD 10_1101-2021_01_06_425544 208 4 distinct distinct JJ 10_1101-2021_01_06_425544 208 5 phases phase NNS 10_1101-2021_01_06_425544 208 6 . . . 10_1101-2021_01_06_425544 209 1 By by IN 10_1101-2021_01_06_425544 209 2 univariate univariate JJ 10_1101-2021_01_06_425544 209 3 wavelet wavelet NN 10_1101-2021_01_06_425544 209 4 analysis analysis NN 10_1101-2021_01_06_425544 209 5 and and CC 10_1101-2021_01_06_425544 209 6 density density NN 10_1101-2021_01_06_425544 209 7 in in IN 10_1101-2021_01_06_425544 209 8 the the DT 10_1101-2021_01_06_425544 209 9 power power NN 10_1101-2021_01_06_425544 209 10 spectrum spectrum NN 10_1101-2021_01_06_425544 209 11 of of IN 10_1101-2021_01_06_425544 209 12 normalized normalized JJ 10_1101-2021_01_06_425544 209 13 rates rate NNS 10_1101-2021_01_06_425544 209 14 , , , 10_1101-2021_01_06_425544 209 15 there there EX 10_1101-2021_01_06_425544 209 16 was be VBD 10_1101-2021_01_06_425544 209 17 indication indication NN 10_1101-2021_01_06_425544 209 18 of of IN 10_1101-2021_01_06_425544 209 19 good good JJ 10_1101-2021_01_06_425544 209 20 management management NN 10_1101-2021_01_06_425544 209 21 through through IN 10_1101-2021_01_06_425544 209 22 October October NNP 10_1101-2021_01_06_425544 209 23 2020 2020 CD 10_1101-2021_01_06_425544 209 24 . . . 10_1101-2021_01_06_425544 210 1 According accord VBG 10_1101-2021_01_06_425544 210 2 to to IN 10_1101-2021_01_06_425544 210 3 bivariate bivariate JJ 10_1101-2021_01_06_425544 210 4 wavelet wavelet NN 10_1101-2021_01_06_425544 210 5 analysis analysis NN 10_1101-2021_01_06_425544 210 6 for for IN 10_1101-2021_01_06_425544 210 7 time time NN 10_1101-2021_01_06_425544 210 8 - - HYPH 10_1101-2021_01_06_425544 210 9 delayed delay VBN 10_1101-2021_01_06_425544 210 10 data data NN 10_1101-2021_01_06_425544 210 11 series series NN 10_1101-2021_01_06_425544 210 12 and and CC 10_1101-2021_01_06_425544 210 13 return return NN 10_1101-2021_01_06_425544 210 14 plots plot NNS 10_1101-2021_01_06_425544 210 15 , , , 10_1101-2021_01_06_425544 210 16 the the DT 10_1101-2021_01_06_425544 210 17 recent recent JJ 10_1101-2021_01_06_425544 210 18 substantial substantial JJ 10_1101-2021_01_06_425544 210 19 upswing upswing NN 10_1101-2021_01_06_425544 210 20 in in IN 10_1101-2021_01_06_425544 210 21 new new JJ 10_1101-2021_01_06_425544 210 22 infections infection NNS 10_1101-2021_01_06_425544 210 23 is be VBZ 10_1101-2021_01_06_425544 210 24 reflected reflect VBN 10_1101-2021_01_06_425544 210 25 , , , 10_1101-2021_01_06_425544 210 26 which which WDT 10_1101-2021_01_06_425544 210 27 also also RB 10_1101-2021_01_06_425544 210 28 results result VBZ 10_1101-2021_01_06_425544 210 29 in in IN 10_1101-2021_01_06_425544 210 30 box box NN 10_1101-2021_01_06_425544 210 31 counting counting NN 10_1101-2021_01_06_425544 210 32 dimensions dimension NNS 10_1101-2021_01_06_425544 210 33 close close JJ 10_1101-2021_01_06_425544 210 34 to to IN 10_1101-2021_01_06_425544 210 35 1 1 CD 10_1101-2021_01_06_425544 210 36 . . . 10_1101-2021_01_06_425544 211 1 From from IN 10_1101-2021_01_06_425544 211 2 a a DT 10_1101-2021_01_06_425544 211 3 lag lag NN 10_1101-2021_01_06_425544 211 4 of of IN 10_1101-2021_01_06_425544 211 5 6 6 CD 10_1101-2021_01_06_425544 211 6 onward onward RB 10_1101-2021_01_06_425544 211 7 , , , 10_1101-2021_01_06_425544 211 8 Poland Poland NNP 10_1101-2021_01_06_425544 211 9 .CC .CC : 10_1101-2021_01_06_425544 211 10 - - : 10_1101-2021_01_06_425544 211 11 BY by IN 10_1101-2021_01_06_425544 211 12 4.0 4.0 CD 10_1101-2021_01_06_425544 211 13 International International NNP 10_1101-2021_01_06_425544 211 14 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 211 15 under under IN 10_1101-2021_01_06_425544 211 16 a a DT 10_1101-2021_01_06_425544 211 17 ( ( -LRB- 10_1101-2021_01_06_425544 211 18 which which WDT 10_1101-2021_01_06_425544 211 19 was be VBD 10_1101-2021_01_06_425544 211 20 not not RB 10_1101-2021_01_06_425544 211 21 certified certify VBN 10_1101-2021_01_06_425544 211 22 by by IN 10_1101-2021_01_06_425544 211 23 peer peer NN 10_1101-2021_01_06_425544 211 24 review review NN 10_1101-2021_01_06_425544 211 25 ) ) -RRB- 10_1101-2021_01_06_425544 211 26 is be VBZ 10_1101-2021_01_06_425544 211 27 the the DT 10_1101-2021_01_06_425544 211 28 author author NN 10_1101-2021_01_06_425544 211 29 / / SYM 10_1101-2021_01_06_425544 211 30 funder funder NN 10_1101-2021_01_06_425544 211 31 , , , 10_1101-2021_01_06_425544 211 32 who who WP 10_1101-2021_01_06_425544 211 33 has have VBZ 10_1101-2021_01_06_425544 211 34 granted grant VBN 10_1101-2021_01_06_425544 211 35 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 211 36 a a DT 10_1101-2021_01_06_425544 211 37 license license NN 10_1101-2021_01_06_425544 211 38 to to TO 10_1101-2021_01_06_425544 211 39 display display VB 10_1101-2021_01_06_425544 211 40 the the DT 10_1101-2021_01_06_425544 211 41 preprint preprint NN 10_1101-2021_01_06_425544 211 42 in in IN 10_1101-2021_01_06_425544 211 43 perpetuity perpetuity NN 10_1101-2021_01_06_425544 211 44 . . . 10_1101-2021_01_06_425544 212 1 It -PRON- PRP 10_1101-2021_01_06_425544 212 2 is be VBZ 10_1101-2021_01_06_425544 212 3 made make VBN 10_1101-2021_01_06_425544 212 4 The the DT 10_1101-2021_01_06_425544 212 5 copyright copyright NN 10_1101-2021_01_06_425544 212 6 holder holder NN 10_1101-2021_01_06_425544 212 7 for for IN 10_1101-2021_01_06_425544 212 8 this this DT 10_1101-2021_01_06_425544 212 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 212 10 version version NN 10_1101-2021_01_06_425544 212 11 posted post VBD 10_1101-2021_01_06_425544 212 12 January January NNP 10_1101-2021_01_06_425544 212 13 6 6 CD 10_1101-2021_01_06_425544 212 14 , , , 10_1101-2021_01_06_425544 212 15 2021 2021 CD 10_1101-2021_01_06_425544 212 16 . . . 10_1101-2021_01_06_425544 212 17 ; ; : 10_1101-2021_01_06_425544 212 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 212 19 : : : 10_1101-2021_01_06_425544 212 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 212 21 preprint preprint NN 10_1101-2021_01_06_425544 212 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 212 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 212 24 has have VBZ 10_1101-2021_01_06_425544 212 25 substantially substantially RB 10_1101-2021_01_06_425544 212 26 declining decline VBG 10_1101-2021_01_06_425544 212 27 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 212 28 values value NNS 10_1101-2021_01_06_425544 212 29 , , , 10_1101-2021_01_06_425544 212 30 although although IN 10_1101-2021_01_06_425544 212 31 due due IN 10_1101-2021_01_06_425544 212 32 to to IN 10_1101-2021_01_06_425544 212 33 the the DT 10_1101-2021_01_06_425544 212 34 recent recent JJ 10_1101-2021_01_06_425544 212 35 steep steep JJ 10_1101-2021_01_06_425544 212 36 upswing upswing NN 10_1101-2021_01_06_425544 212 37 in in IN 10_1101-2021_01_06_425544 212 38 new new JJ 10_1101-2021_01_06_425544 212 39 infections infection NNS 10_1101-2021_01_06_425544 212 40 , , , 10_1101-2021_01_06_425544 212 41 the the DT 10_1101-2021_01_06_425544 212 42 trend trend NN 10_1101-2021_01_06_425544 212 43 reverses reverse VBZ 10_1101-2021_01_06_425544 212 44 at at IN 10_1101-2021_01_06_425544 212 45 very very RB 10_1101-2021_01_06_425544 212 46 long long JJ 10_1101-2021_01_06_425544 212 47 lags lag NNS 10_1101-2021_01_06_425544 212 48 . . . 10_1101-2021_01_06_425544 213 1 The the DT 10_1101-2021_01_06_425544 213 2 average average JJ 10_1101-2021_01_06_425544 213 3 mutual mutual JJ 10_1101-2021_01_06_425544 213 4 information information NN 10_1101-2021_01_06_425544 213 5 starts start VBZ 10_1101-2021_01_06_425544 213 6 with with IN 10_1101-2021_01_06_425544 213 7 a a DT 10_1101-2021_01_06_425544 213 8 relatively relatively RB 10_1101-2021_01_06_425544 213 9 low low JJ 10_1101-2021_01_06_425544 213 10 value value NN 10_1101-2021_01_06_425544 213 11 ( ( -LRB- 10_1101-2021_01_06_425544 213 12 1.15 1.15 CD 10_1101-2021_01_06_425544 213 13 at at IN 10_1101-2021_01_06_425544 213 14 t t NN 10_1101-2021_01_06_425544 213 15 versus versus IN 10_1101-2021_01_06_425544 213 16 t+1 t+1 NN 10_1101-2021_01_06_425544 213 17 ) ) -RRB- 10_1101-2021_01_06_425544 213 18 and and CC 10_1101-2021_01_06_425544 213 19 shows show VBZ 10_1101-2021_01_06_425544 213 20 a a DT 10_1101-2021_01_06_425544 213 21 rapid rapid JJ 10_1101-2021_01_06_425544 213 22 decrease decrease NN 10_1101-2021_01_06_425544 213 23 with with IN 10_1101-2021_01_06_425544 213 24 longer long JJR 10_1101-2021_01_06_425544 213 25 lag lag NN 10_1101-2021_01_06_425544 213 26 , , , 10_1101-2021_01_06_425544 213 27 staying stay VBG 10_1101-2021_01_06_425544 213 28 level level NN 10_1101-2021_01_06_425544 213 29 from from IN 10_1101-2021_01_06_425544 213 30 lags lag NNS 10_1101-2021_01_06_425544 213 31 of of IN 10_1101-2021_01_06_425544 213 32 21 21 CD 10_1101-2021_01_06_425544 213 33 to to TO 10_1101-2021_01_06_425544 213 34 49 49 CD 10_1101-2021_01_06_425544 213 35 days day NNS 10_1101-2021_01_06_425544 213 36 . . . 10_1101-2021_01_06_425544 214 1 In in IN 10_1101-2021_01_06_425544 214 2 the the DT 10_1101-2021_01_06_425544 214 3 United United NNP 10_1101-2021_01_06_425544 214 4 States States NNP 10_1101-2021_01_06_425544 214 5 , , , 10_1101-2021_01_06_425544 214 6 univariate univariate JJ 10_1101-2021_01_06_425544 214 7 wavelet wavelet NN 10_1101-2021_01_06_425544 214 8 analysis analysis NN 10_1101-2021_01_06_425544 214 9 displays display NNS 10_1101-2021_01_06_425544 214 10 cyclical cyclical JJ 10_1101-2021_01_06_425544 214 11 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 214 12 of of IN 10_1101-2021_01_06_425544 214 13 various various JJ 10_1101-2021_01_06_425544 214 14 durations duration NNS 10_1101-2021_01_06_425544 214 15 , , , 10_1101-2021_01_06_425544 214 16 none none NN 10_1101-2021_01_06_425544 214 17 of of IN 10_1101-2021_01_06_425544 214 18 which which WDT 10_1101-2021_01_06_425544 214 19 have have VBP 10_1101-2021_01_06_425544 214 20 been be VBN 10_1101-2021_01_06_425544 214 21 contained contain VBN 10_1101-2021_01_06_425544 214 22 . . . 10_1101-2021_01_06_425544 215 1 According accord VBG 10_1101-2021_01_06_425544 215 2 to to IN 10_1101-2021_01_06_425544 215 3 bivariate bivariate JJ 10_1101-2021_01_06_425544 215 4 wavelet wavelet NN 10_1101-2021_01_06_425544 215 5 analysis analysis NN 10_1101-2021_01_06_425544 215 6 for for IN 10_1101-2021_01_06_425544 215 7 time time NN 10_1101-2021_01_06_425544 215 8 - - HYPH 10_1101-2021_01_06_425544 215 9 delayed delay VBN 10_1101-2021_01_06_425544 215 10 data data NN 10_1101-2021_01_06_425544 215 11 series series NN 10_1101-2021_01_06_425544 215 12 , , , 10_1101-2021_01_06_425544 215 13 there there EX 10_1101-2021_01_06_425544 215 14 have have VBP 10_1101-2021_01_06_425544 215 15 been be VBN 10_1101-2021_01_06_425544 215 16 protracted protract VBN 10_1101-2021_01_06_425544 215 17 periods period NNS 10_1101-2021_01_06_425544 215 18 of of IN 10_1101-2021_01_06_425544 215 19 high high JJ 10_1101-2021_01_06_425544 215 20 cross- cross- JJ 10_1101-2021_01_06_425544 215 21 wavelet wavelet NN 10_1101-2021_01_06_425544 215 22 power power NN 10_1101-2021_01_06_425544 215 23 levels level NNS 10_1101-2021_01_06_425544 215 24 . . . 10_1101-2021_01_06_425544 216 1 Cyclical cyclical JJ 10_1101-2021_01_06_425544 216 2 patterns pattern NNS 10_1101-2021_01_06_425544 216 3 in in IN 10_1101-2021_01_06_425544 216 4 return return NN 10_1101-2021_01_06_425544 216 5 plots plot NNS 10_1101-2021_01_06_425544 216 6 , , , 10_1101-2021_01_06_425544 216 7 suggesting suggest VBG 10_1101-2021_01_06_425544 216 8 the the DT 10_1101-2021_01_06_425544 216 9 outlines outline NNS 10_1101-2021_01_06_425544 216 10 of of IN 10_1101-2021_01_06_425544 216 11 attractors attractor NNS 10_1101-2021_01_06_425544 216 12 , , , 10_1101-2021_01_06_425544 216 13 are be VBP 10_1101-2021_01_06_425544 216 14 apparent apparent JJ 10_1101-2021_01_06_425544 216 15 . . . 10_1101-2021_01_06_425544 217 1 The the DT 10_1101-2021_01_06_425544 217 2 USA USA NNP 10_1101-2021_01_06_425544 217 3 expresses express VBZ 10_1101-2021_01_06_425544 217 4 relatively relatively RB 10_1101-2021_01_06_425544 217 5 flat flat JJ 10_1101-2021_01_06_425544 217 6 average average JJ 10_1101-2021_01_06_425544 217 7 mutual mutual JJ 10_1101-2021_01_06_425544 217 8 information information NN 10_1101-2021_01_06_425544 217 9 values value NNS 10_1101-2021_01_06_425544 217 10 , , , 10_1101-2021_01_06_425544 217 11 staying stay VBG 10_1101-2021_01_06_425544 217 12 around around IN 10_1101-2021_01_06_425544 217 13 levels level NNS 10_1101-2021_01_06_425544 217 14 of of IN 10_1101-2021_01_06_425544 217 15 2.20 2.20 CD 10_1101-2021_01_06_425544 217 16 . . . 10_1101-2021_01_06_425544 218 1 In in IN 10_1101-2021_01_06_425544 218 2 France France NNP 10_1101-2021_01_06_425544 218 3 , , , 10_1101-2021_01_06_425544 218 4 univariate univariate JJ 10_1101-2021_01_06_425544 218 5 wavelet wavelet NN 10_1101-2021_01_06_425544 218 6 analysis analysis NN 10_1101-2021_01_06_425544 218 7 of of IN 10_1101-2021_01_06_425544 218 8 the the DT 10_1101-2021_01_06_425544 218 9 time time NN 10_1101-2021_01_06_425544 218 10 course course NN 10_1101-2021_01_06_425544 218 11 shows show VBZ 10_1101-2021_01_06_425544 218 12 prominence prominence NN 10_1101-2021_01_06_425544 218 13 of of IN 10_1101-2021_01_06_425544 218 14 the the DT 10_1101-2021_01_06_425544 218 15 recent recent JJ 10_1101-2021_01_06_425544 218 16 upswing upswing NN 10_1101-2021_01_06_425544 218 17 ( ( -LRB- 10_1101-2021_01_06_425544 218 18 heat heat NN 10_1101-2021_01_06_425544 218 19 intensity intensity NN 10_1101-2021_01_06_425544 218 20 on on IN 10_1101-2021_01_06_425544 218 21 the the DT 10_1101-2021_01_06_425544 218 22 right right JJ 10_1101-2021_01_06_425544 218 23 margin margin NN 10_1101-2021_01_06_425544 218 24 of of IN 10_1101-2021_01_06_425544 218 25 the the DT 10_1101-2021_01_06_425544 218 26 graph graph NN 10_1101-2021_01_06_425544 218 27 ) ) -RRB- 10_1101-2021_01_06_425544 218 28 , , , 10_1101-2021_01_06_425544 218 29 the the DT 10_1101-2021_01_06_425544 218 30 power power NN 10_1101-2021_01_06_425544 218 31 spectrum spectrum NN 10_1101-2021_01_06_425544 218 32 is be VBZ 10_1101-2021_01_06_425544 218 33 reflective reflective JJ 10_1101-2021_01_06_425544 218 34 of of IN 10_1101-2021_01_06_425544 218 35 potentially potentially RB 10_1101-2021_01_06_425544 218 36 adverse adverse JJ 10_1101-2021_01_06_425544 218 37 developments development NNS 10_1101-2021_01_06_425544 218 38 . . . 10_1101-2021_01_06_425544 219 1 The the DT 10_1101-2021_01_06_425544 219 2 second second JJ 10_1101-2021_01_06_425544 219 3 wave wave NN 10_1101-2021_01_06_425544 219 4 of of IN 10_1101-2021_01_06_425544 219 5 infections infection NNS 10_1101-2021_01_06_425544 219 6 is be VBZ 10_1101-2021_01_06_425544 219 7 apparent apparent JJ 10_1101-2021_01_06_425544 219 8 in in IN 10_1101-2021_01_06_425544 219 9 bivariate bivariate JJ 10_1101-2021_01_06_425544 219 10 wavelet wavelet NN 10_1101-2021_01_06_425544 219 11 analysis analysis NN 10_1101-2021_01_06_425544 219 12 and and CC 10_1101-2021_01_06_425544 219 13 in in IN 10_1101-2021_01_06_425544 219 14 the the DT 10_1101-2021_01_06_425544 219 15 obscured obscure VBN 10_1101-2021_01_06_425544 219 16 order order NN 10_1101-2021_01_06_425544 219 17 in in IN 10_1101-2021_01_06_425544 219 18 return return NN 10_1101-2021_01_06_425544 219 19 plots plot NNS 10_1101-2021_01_06_425544 219 20 . . . 10_1101-2021_01_06_425544 220 1 France France NNP 10_1101-2021_01_06_425544 220 2 displays display VBZ 10_1101-2021_01_06_425544 220 3 a a DT 10_1101-2021_01_06_425544 220 4 gradually gradually RB 10_1101-2021_01_06_425544 220 5 decreasing decrease VBG 10_1101-2021_01_06_425544 220 6 trend trend NN 10_1101-2021_01_06_425544 220 7 of of IN 10_1101-2021_01_06_425544 220 8 average average JJ 10_1101-2021_01_06_425544 220 9 mutual mutual JJ 10_1101-2021_01_06_425544 220 10 information information NN 10_1101-2021_01_06_425544 220 11 . . . 10_1101-2021_01_06_425544 221 1 India India NNP 10_1101-2021_01_06_425544 221 2 expresses express VBZ 10_1101-2021_01_06_425544 221 3 cyclical cyclical JJ 10_1101-2021_01_06_425544 221 4 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 221 5 of of IN 10_1101-2021_01_06_425544 221 6 various various JJ 10_1101-2021_01_06_425544 221 7 durations duration NNS 10_1101-2021_01_06_425544 221 8 in in IN 10_1101-2021_01_06_425544 221 9 univariate univariate JJ 10_1101-2021_01_06_425544 221 10 wavelet wavelet NN 10_1101-2021_01_06_425544 221 11 analysis analysis NN 10_1101-2021_01_06_425544 221 12 , , , 10_1101-2021_01_06_425544 221 13 none none NN 10_1101-2021_01_06_425544 221 14 of of IN 10_1101-2021_01_06_425544 221 15 which which WDT 10_1101-2021_01_06_425544 221 16 have have VBP 10_1101-2021_01_06_425544 221 17 been be VBN 10_1101-2021_01_06_425544 221 18 contained contain VBN 10_1101-2021_01_06_425544 221 19 . . . 10_1101-2021_01_06_425544 222 1 On on IN 10_1101-2021_01_06_425544 222 2 a a DT 10_1101-2021_01_06_425544 222 3 population population NN 10_1101-2021_01_06_425544 222 4 bases basis NNS 10_1101-2021_01_06_425544 222 5 , , , 10_1101-2021_01_06_425544 222 6 the the DT 10_1101-2021_01_06_425544 222 7 spectral spectral JJ 10_1101-2021_01_06_425544 222 8 density density NN 10_1101-2021_01_06_425544 222 9 suggests suggest VBZ 10_1101-2021_01_06_425544 222 10 that that IN 10_1101-2021_01_06_425544 222 11 control control NN 10_1101-2021_01_06_425544 222 12 has have VBZ 10_1101-2021_01_06_425544 222 13 not not RB 10_1101-2021_01_06_425544 222 14 been be VBN 10_1101-2021_01_06_425544 222 15 lost lose VBN 10_1101-2021_01_06_425544 222 16 through through IN 10_1101-2021_01_06_425544 222 17 October October NNP 10_1101-2021_01_06_425544 222 18 2020 2020 CD 10_1101-2021_01_06_425544 222 19 . . . 10_1101-2021_01_06_425544 223 1 Bivariate bivariate JJ 10_1101-2021_01_06_425544 223 2 wavelet wavelet NN 10_1101-2021_01_06_425544 223 3 analysis analysis NN 10_1101-2021_01_06_425544 223 4 shows show VBZ 10_1101-2021_01_06_425544 223 5 protracted protract VBN 10_1101-2021_01_06_425544 223 6 periods period NNS 10_1101-2021_01_06_425544 223 7 of of IN 10_1101-2021_01_06_425544 223 8 high high JJ 10_1101-2021_01_06_425544 223 9 cross cross JJ 10_1101-2021_01_06_425544 223 10 - - JJ 10_1101-2021_01_06_425544 223 11 wavelet wavelet JJ 10_1101-2021_01_06_425544 223 12 power power NN 10_1101-2021_01_06_425544 223 13 levels level NNS 10_1101-2021_01_06_425544 223 14 , , , 10_1101-2021_01_06_425544 223 15 return return NN 10_1101-2021_01_06_425544 223 16 plots plot NNS 10_1101-2021_01_06_425544 223 17 reflect reflect VBP 10_1101-2021_01_06_425544 223 18 the the DT 10_1101-2021_01_06_425544 223 19 progressive progressive JJ 10_1101-2021_01_06_425544 223 20 increase increase NN 10_1101-2021_01_06_425544 223 21 in in IN 10_1101-2021_01_06_425544 223 22 new new JJ 10_1101-2021_01_06_425544 223 23 cases case NNS 10_1101-2021_01_06_425544 223 24 over over IN 10_1101-2021_01_06_425544 223 25 the the DT 10_1101-2021_01_06_425544 223 26 time time NN 10_1101-2021_01_06_425544 223 27 period period NN 10_1101-2021_01_06_425544 223 28 in in IN 10_1101-2021_01_06_425544 223 29 a a DT 10_1101-2021_01_06_425544 223 30 predominantly predominantly RB 10_1101-2021_01_06_425544 223 31 linear linear JJ 10_1101-2021_01_06_425544 223 32 curve curve NN 10_1101-2021_01_06_425544 223 33 on on IN 10_1101-2021_01_06_425544 223 34 each each DT 10_1101-2021_01_06_425544 223 35 scale scale NN 10_1101-2021_01_06_425544 223 36 , , , 10_1101-2021_01_06_425544 223 37 box box NN 10_1101-2021_01_06_425544 223 38 counting counting NN 10_1101-2021_01_06_425544 223 39 dimensions dimension NNS 10_1101-2021_01_06_425544 223 40 are be VBP 10_1101-2021_01_06_425544 223 41 close close JJ 10_1101-2021_01_06_425544 223 42 to to IN 10_1101-2021_01_06_425544 223 43 1 1 CD 10_1101-2021_01_06_425544 223 44 , , , 10_1101-2021_01_06_425544 223 45 and and CC 10_1101-2021_01_06_425544 223 46 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 223 47 values value NNS 10_1101-2021_01_06_425544 223 48 stay stay VBP 10_1101-2021_01_06_425544 223 49 uniformly uniformly RB 10_1101-2021_01_06_425544 223 50 high high JJ 10_1101-2021_01_06_425544 223 51 with with IN 10_1101-2021_01_06_425544 223 52 increasing increasing JJ 10_1101-2021_01_06_425544 223 53 time time NN 10_1101-2021_01_06_425544 223 54 lag lag NN 10_1101-2021_01_06_425544 223 55 . . . 10_1101-2021_01_06_425544 224 1 India India NNP 10_1101-2021_01_06_425544 224 2 displays display VBZ 10_1101-2021_01_06_425544 224 3 a a DT 10_1101-2021_01_06_425544 224 4 gradually gradually RB 10_1101-2021_01_06_425544 224 5 decreasing decrease VBG 10_1101-2021_01_06_425544 224 6 trend trend NN 10_1101-2021_01_06_425544 224 7 of of IN 10_1101-2021_01_06_425544 224 8 average average JJ 10_1101-2021_01_06_425544 224 9 mutual mutual JJ 10_1101-2021_01_06_425544 224 10 information information NN 10_1101-2021_01_06_425544 224 11 . . . 10_1101-2021_01_06_425544 225 1 Brazil Brazil NNP 10_1101-2021_01_06_425544 225 2 experiences experience VBZ 10_1101-2021_01_06_425544 225 3 cyclical cyclical JJ 10_1101-2021_01_06_425544 225 4 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 225 5 of of IN 10_1101-2021_01_06_425544 225 6 various various JJ 10_1101-2021_01_06_425544 225 7 durations duration NNS 10_1101-2021_01_06_425544 225 8 in in IN 10_1101-2021_01_06_425544 225 9 univariate univariate JJ 10_1101-2021_01_06_425544 225 10 wavelet wavelet NN 10_1101-2021_01_06_425544 225 11 analysis analysis NN 10_1101-2021_01_06_425544 225 12 , , , 10_1101-2021_01_06_425544 225 13 none none NN 10_1101-2021_01_06_425544 225 14 of of IN 10_1101-2021_01_06_425544 225 15 which which WDT 10_1101-2021_01_06_425544 225 16 have have VBP 10_1101-2021_01_06_425544 225 17 been be VBN 10_1101-2021_01_06_425544 225 18 contained contain VBN 10_1101-2021_01_06_425544 225 19 . . . 10_1101-2021_01_06_425544 226 1 By by IN 10_1101-2021_01_06_425544 226 2 Fourier Fourier NNP 10_1101-2021_01_06_425544 226 3 analysis analysis NN 10_1101-2021_01_06_425544 226 4 , , , 10_1101-2021_01_06_425544 226 5 the the DT 10_1101-2021_01_06_425544 226 6 spectral spectral JJ 10_1101-2021_01_06_425544 226 7 density density NN 10_1101-2021_01_06_425544 226 8 range range NN 10_1101-2021_01_06_425544 226 9 is be VBZ 10_1101-2021_01_06_425544 226 10 high high JJ 10_1101-2021_01_06_425544 226 11 . . . 10_1101-2021_01_06_425544 227 1 The the DT 10_1101-2021_01_06_425544 227 2 power power NN 10_1101-2021_01_06_425544 227 3 spectrum spectrum NN 10_1101-2021_01_06_425544 227 4 is be VBZ 10_1101-2021_01_06_425544 227 5 indicative indicative JJ 10_1101-2021_01_06_425544 227 6 of of IN 10_1101-2021_01_06_425544 227 7 potentially potentially RB 10_1101-2021_01_06_425544 227 8 adverse adverse JJ 10_1101-2021_01_06_425544 227 9 developments development NNS 10_1101-2021_01_06_425544 227 10 . . . 10_1101-2021_01_06_425544 228 1 According accord VBG 10_1101-2021_01_06_425544 228 2 to to IN 10_1101-2021_01_06_425544 228 3 bivariate bivariate JJ 10_1101-2021_01_06_425544 228 4 wavelet wavelet NN 10_1101-2021_01_06_425544 228 5 analysis analysis NN 10_1101-2021_01_06_425544 228 6 , , , 10_1101-2021_01_06_425544 228 7 there there EX 10_1101-2021_01_06_425544 228 8 have have VBP 10_1101-2021_01_06_425544 228 9 been be VBN 10_1101-2021_01_06_425544 228 10 protracted protract VBN 10_1101-2021_01_06_425544 228 11 periods period NNS 10_1101-2021_01_06_425544 228 12 of of IN 10_1101-2021_01_06_425544 228 13 high high JJ 10_1101-2021_01_06_425544 228 14 cross cross JJ 10_1101-2021_01_06_425544 228 15 - - JJ 10_1101-2021_01_06_425544 228 16 wavelet wavelet JJ 10_1101-2021_01_06_425544 228 17 power power NN 10_1101-2021_01_06_425544 228 18 levels level NNS 10_1101-2021_01_06_425544 228 19 . . . 10_1101-2021_01_06_425544 229 1 In in IN 10_1101-2021_01_06_425544 229 2 return return NN 10_1101-2021_01_06_425544 229 3 plots plot NNS 10_1101-2021_01_06_425544 229 4 , , , 10_1101-2021_01_06_425544 229 5 the the DT 10_1101-2021_01_06_425544 229 6 wide wide JJ 10_1101-2021_01_06_425544 229 7 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 229 8 generate generate VBP 10_1101-2021_01_06_425544 229 9 a a DT 10_1101-2021_01_06_425544 229 10 largely largely RB 10_1101-2021_01_06_425544 229 11 disordered disorder VBN 10_1101-2021_01_06_425544 229 12 appearance appearance NN 10_1101-2021_01_06_425544 229 13 . . . 10_1101-2021_01_06_425544 230 1 The the DT 10_1101-2021_01_06_425544 230 2 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 230 3 values value NNS 10_1101-2021_01_06_425544 230 4 stay stay VBP 10_1101-2021_01_06_425544 230 5 uniformly uniformly RB 10_1101-2021_01_06_425544 230 6 high high JJ 10_1101-2021_01_06_425544 230 7 . . . 10_1101-2021_01_06_425544 231 1 Brazil Brazil NNP 10_1101-2021_01_06_425544 231 2 expresses express VBZ 10_1101-2021_01_06_425544 231 3 relatively relatively RB 10_1101-2021_01_06_425544 231 4 flat flat JJ 10_1101-2021_01_06_425544 231 5 average average JJ 10_1101-2021_01_06_425544 231 6 mutual mutual JJ 10_1101-2021_01_06_425544 231 7 information information NN 10_1101-2021_01_06_425544 231 8 values value NNS 10_1101-2021_01_06_425544 231 9 , , , 10_1101-2021_01_06_425544 231 10 staying stay VBG 10_1101-2021_01_06_425544 231 11 around around IN 10_1101-2021_01_06_425544 231 12 levels level NNS 10_1101-2021_01_06_425544 231 13 of of IN 10_1101-2021_01_06_425544 231 14 2.20 2.20 CD 10_1101-2021_01_06_425544 231 15 . . . 10_1101-2021_01_06_425544 232 1 Sweden Sweden NNP 10_1101-2021_01_06_425544 232 2 shows show VBZ 10_1101-2021_01_06_425544 232 3 cyclical cyclical JJ 10_1101-2021_01_06_425544 232 4 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 232 5 of of IN 10_1101-2021_01_06_425544 232 6 various various JJ 10_1101-2021_01_06_425544 232 7 durations duration NNS 10_1101-2021_01_06_425544 232 8 in in IN 10_1101-2021_01_06_425544 232 9 univariate univariate JJ 10_1101-2021_01_06_425544 232 10 wavelet wavelet NN 10_1101-2021_01_06_425544 232 11 analysis analysis NN 10_1101-2021_01_06_425544 232 12 , , , 10_1101-2021_01_06_425544 232 13 none none NN 10_1101-2021_01_06_425544 232 14 of of IN 10_1101-2021_01_06_425544 232 15 which which WDT 10_1101-2021_01_06_425544 232 16 have have VBP 10_1101-2021_01_06_425544 232 17 been be VBN 10_1101-2021_01_06_425544 232 18 contained contain VBN 10_1101-2021_01_06_425544 232 19 . . . 10_1101-2021_01_06_425544 233 1 The the DT 10_1101-2021_01_06_425544 233 2 power power NN 10_1101-2021_01_06_425544 233 3 spectrum spectrum NN 10_1101-2021_01_06_425544 233 4 is be VBZ 10_1101-2021_01_06_425544 233 5 reflective reflective JJ 10_1101-2021_01_06_425544 233 6 of of IN 10_1101-2021_01_06_425544 233 7 potentially potentially RB 10_1101-2021_01_06_425544 233 8 adverse adverse JJ 10_1101-2021_01_06_425544 233 9 developments development NNS 10_1101-2021_01_06_425544 233 10 . . . 10_1101-2021_01_06_425544 234 1 In in IN 10_1101-2021_01_06_425544 234 2 return return NN 10_1101-2021_01_06_425544 234 3 plots plot NNS 10_1101-2021_01_06_425544 234 4 , , , 10_1101-2021_01_06_425544 234 5 disorder disorder NN 10_1101-2021_01_06_425544 234 6 is be VBZ 10_1101-2021_01_06_425544 234 7 apparent apparent JJ 10_1101-2021_01_06_425544 234 8 . . . 10_1101-2021_01_06_425544 235 1 Sweden Sweden NNP 10_1101-2021_01_06_425544 235 2 expresses express VBZ 10_1101-2021_01_06_425544 235 3 relatively relatively RB 10_1101-2021_01_06_425544 235 4 flat flat JJ 10_1101-2021_01_06_425544 235 5 average average JJ 10_1101-2021_01_06_425544 235 6 mutual mutual JJ 10_1101-2021_01_06_425544 235 7 information information NN 10_1101-2021_01_06_425544 235 8 values value NNS 10_1101-2021_01_06_425544 235 9 . . . 10_1101-2021_01_06_425544 236 1 Prima prima VB 10_1101-2021_01_06_425544 236 2 facie facie JJ 10_1101-2021_01_06_425544 236 3 , , , 10_1101-2021_01_06_425544 236 4 the the DT 10_1101-2021_01_06_425544 236 5 curves curve NNS 10_1101-2021_01_06_425544 236 6 of of IN 10_1101-2021_01_06_425544 236 7 new new JJ 10_1101-2021_01_06_425544 236 8 infections infection NNS 10_1101-2021_01_06_425544 236 9 versus versus IN 10_1101-2021_01_06_425544 236 10 time time NN 10_1101-2021_01_06_425544 236 11 for for IN 10_1101-2021_01_06_425544 236 12 three three CD 10_1101-2021_01_06_425544 236 13 Western western JJ 10_1101-2021_01_06_425544 236 14 European european JJ 10_1101-2021_01_06_425544 236 15 countries country NNS 10_1101-2021_01_06_425544 236 16 , , , 10_1101-2021_01_06_425544 236 17 France France NNP 10_1101-2021_01_06_425544 236 18 , , , 10_1101-2021_01_06_425544 236 19 Italy Italy NNP 10_1101-2021_01_06_425544 236 20 , , , 10_1101-2021_01_06_425544 236 21 and and CC 10_1101-2021_01_06_425544 236 22 Germany Germany NNP 10_1101-2021_01_06_425544 236 23 , , , 10_1101-2021_01_06_425544 236 24 appear appear VB 10_1101-2021_01_06_425544 236 25 similar similar JJ 10_1101-2021_01_06_425544 236 26 . . . 10_1101-2021_01_06_425544 237 1 Complex complex JJ 10_1101-2021_01_06_425544 237 2 systems system NNS 10_1101-2021_01_06_425544 237 3 analysis analysis NN 10_1101-2021_01_06_425544 237 4 reveals reveal VBZ 10_1101-2021_01_06_425544 237 5 the the DT 10_1101-2021_01_06_425544 237 6 upswing upswing NN 10_1101-2021_01_06_425544 237 7 in in IN 10_1101-2021_01_06_425544 237 8 France France NNP 10_1101-2021_01_06_425544 237 9 to to TO 10_1101-2021_01_06_425544 237 10 be be VB 10_1101-2021_01_06_425544 237 11 much much RB 10_1101-2021_01_06_425544 237 12 more more RBR 10_1101-2021_01_06_425544 237 13 perilous perilous JJ 10_1101-2021_01_06_425544 237 14 than than IN 10_1101-2021_01_06_425544 237 15 the the DT 10_1101-2021_01_06_425544 237 16 increases increase NNS 10_1101-2021_01_06_425544 237 17 in in IN 10_1101-2021_01_06_425544 237 18 the the DT 10_1101-2021_01_06_425544 237 19 curves curve NNS 10_1101-2021_01_06_425544 237 20 of of IN 10_1101-2021_01_06_425544 237 21 new new JJ 10_1101-2021_01_06_425544 237 22 infections infection NNS 10_1101-2021_01_06_425544 237 23 by by IN 10_1101-2021_01_06_425544 237 24 the the DT 10_1101-2021_01_06_425544 237 25 other other JJ 10_1101-2021_01_06_425544 237 26 two two CD 10_1101-2021_01_06_425544 237 27 countries country NNS 10_1101-2021_01_06_425544 237 28 . . . 10_1101-2021_01_06_425544 238 1 The the DT 10_1101-2021_01_06_425544 238 2 management management NN 10_1101-2021_01_06_425544 238 3 of of IN 10_1101-2021_01_06_425544 238 4 infectious infectious JJ 10_1101-2021_01_06_425544 238 5 spread spread NN 10_1101-2021_01_06_425544 238 6 also also RB 10_1101-2021_01_06_425544 238 7 requires require VBZ 10_1101-2021_01_06_425544 238 8 improvements improvement NNS 10_1101-2021_01_06_425544 238 9 in in IN 10_1101-2021_01_06_425544 238 10 .CC .CC NFP 10_1101-2021_01_06_425544 238 11 - - : 10_1101-2021_01_06_425544 238 12 BY by IN 10_1101-2021_01_06_425544 238 13 4.0 4.0 CD 10_1101-2021_01_06_425544 238 14 International International NNP 10_1101-2021_01_06_425544 238 15 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 238 16 under under IN 10_1101-2021_01_06_425544 238 17 a a DT 10_1101-2021_01_06_425544 238 18 ( ( -LRB- 10_1101-2021_01_06_425544 238 19 which which WDT 10_1101-2021_01_06_425544 238 20 was be VBD 10_1101-2021_01_06_425544 238 21 not not RB 10_1101-2021_01_06_425544 238 22 certified certify VBN 10_1101-2021_01_06_425544 238 23 by by IN 10_1101-2021_01_06_425544 238 24 peer peer NN 10_1101-2021_01_06_425544 238 25 review review NN 10_1101-2021_01_06_425544 238 26 ) ) -RRB- 10_1101-2021_01_06_425544 238 27 is be VBZ 10_1101-2021_01_06_425544 238 28 the the DT 10_1101-2021_01_06_425544 238 29 author author NN 10_1101-2021_01_06_425544 238 30 / / SYM 10_1101-2021_01_06_425544 238 31 funder funder NN 10_1101-2021_01_06_425544 238 32 , , , 10_1101-2021_01_06_425544 238 33 who who WP 10_1101-2021_01_06_425544 238 34 has have VBZ 10_1101-2021_01_06_425544 238 35 granted grant VBN 10_1101-2021_01_06_425544 238 36 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 238 37 a a DT 10_1101-2021_01_06_425544 238 38 license license NN 10_1101-2021_01_06_425544 238 39 to to TO 10_1101-2021_01_06_425544 238 40 display display VB 10_1101-2021_01_06_425544 238 41 the the DT 10_1101-2021_01_06_425544 238 42 preprint preprint NN 10_1101-2021_01_06_425544 238 43 in in IN 10_1101-2021_01_06_425544 238 44 perpetuity perpetuity NN 10_1101-2021_01_06_425544 238 45 . . . 10_1101-2021_01_06_425544 239 1 It -PRON- PRP 10_1101-2021_01_06_425544 239 2 is be VBZ 10_1101-2021_01_06_425544 239 3 made make VBN 10_1101-2021_01_06_425544 239 4 The the DT 10_1101-2021_01_06_425544 239 5 copyright copyright NN 10_1101-2021_01_06_425544 239 6 holder holder NN 10_1101-2021_01_06_425544 239 7 for for IN 10_1101-2021_01_06_425544 239 8 this this DT 10_1101-2021_01_06_425544 239 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 239 10 version version NN 10_1101-2021_01_06_425544 239 11 posted post VBD 10_1101-2021_01_06_425544 239 12 January January NNP 10_1101-2021_01_06_425544 239 13 6 6 CD 10_1101-2021_01_06_425544 239 14 , , , 10_1101-2021_01_06_425544 239 15 2021 2021 CD 10_1101-2021_01_06_425544 239 16 . . . 10_1101-2021_01_06_425544 239 17 ; ; : 10_1101-2021_01_06_425544 239 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 239 19 : : : 10_1101-2021_01_06_425544 239 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 239 21 preprint preprint NN 10_1101-2021_01_06_425544 239 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 239 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 239 24 the the DT 10_1101-2021_01_06_425544 239 25 United United NNP 10_1101-2021_01_06_425544 239 26 States States NNP 10_1101-2021_01_06_425544 239 27 , , , 10_1101-2021_01_06_425544 239 28 Sweden Sweden NNP 10_1101-2021_01_06_425544 239 29 and and CC 10_1101-2021_01_06_425544 239 30 Brazil Brazil NNP 10_1101-2021_01_06_425544 239 31 . . . 10_1101-2021_01_06_425544 240 1 The the DT 10_1101-2021_01_06_425544 240 2 selection selection NN 10_1101-2021_01_06_425544 240 3 of of IN 10_1101-2021_01_06_425544 240 4 the the DT 10_1101-2021_01_06_425544 240 5 observation observation NN 10_1101-2021_01_06_425544 240 6 period period NN 10_1101-2021_01_06_425544 240 7 can can MD 10_1101-2021_01_06_425544 240 8 dramatically dramatically RB 10_1101-2021_01_06_425544 240 9 influence influence VB 10_1101-2021_01_06_425544 240 10 the the DT 10_1101-2021_01_06_425544 240 11 results result NNS 10_1101-2021_01_06_425544 240 12 . . . 10_1101-2021_01_06_425544 241 1 Poland Poland NNP 10_1101-2021_01_06_425544 241 2 was be VBD 10_1101-2021_01_06_425544 241 3 initially initially RB 10_1101-2021_01_06_425544 241 4 very very RB 10_1101-2021_01_06_425544 241 5 successful successful JJ 10_1101-2021_01_06_425544 241 6 in in IN 10_1101-2021_01_06_425544 241 7 containing contain VBG 10_1101-2021_01_06_425544 241 8 the the DT 10_1101-2021_01_06_425544 241 9 pandemic pandemic NN 10_1101-2021_01_06_425544 241 10 , , , 10_1101-2021_01_06_425544 241 11 but but CC 10_1101-2021_01_06_425544 241 12 then then RB 10_1101-2021_01_06_425544 241 13 experienced experience VBD 10_1101-2021_01_06_425544 241 14 a a DT 10_1101-2021_01_06_425544 241 15 substantial substantial JJ 10_1101-2021_01_06_425544 241 16 upswing upswing NN 10_1101-2021_01_06_425544 241 17 . . . 10_1101-2021_01_06_425544 242 1 Analyzing analyze VBG 10_1101-2021_01_06_425544 242 2 these these DT 10_1101-2021_01_06_425544 242 3 two two CD 10_1101-2021_01_06_425544 242 4 phases phase NNS 10_1101-2021_01_06_425544 242 5 individually individually RB 10_1101-2021_01_06_425544 242 6 or or CC 10_1101-2021_01_06_425544 242 7 in in IN 10_1101-2021_01_06_425544 242 8 conjunction conjunction NN 10_1101-2021_01_06_425544 242 9 yields yield NNS 10_1101-2021_01_06_425544 242 10 very very RB 10_1101-2021_01_06_425544 242 11 different different JJ 10_1101-2021_01_06_425544 242 12 data data NN 10_1101-2021_01_06_425544 242 13 sets set NNS 10_1101-2021_01_06_425544 242 14 , , , 10_1101-2021_01_06_425544 242 15 which which WDT 10_1101-2021_01_06_425544 242 16 inform inform VBP 10_1101-2021_01_06_425544 242 17 about about IN 10_1101-2021_01_06_425544 242 18 distinct distinct JJ 10_1101-2021_01_06_425544 242 19 aspects aspect NNS 10_1101-2021_01_06_425544 242 20 of of IN 10_1101-2021_01_06_425544 242 21 the the DT 10_1101-2021_01_06_425544 242 22 infectious infectious JJ 10_1101-2021_01_06_425544 242 23 progression progression NN 10_1101-2021_01_06_425544 242 24 . . . 10_1101-2021_01_06_425544 243 1 The the DT 10_1101-2021_01_06_425544 243 2 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 243 3 of of IN 10_1101-2021_01_06_425544 243 4 new new JJ 10_1101-2021_01_06_425544 243 5 infections infection NNS 10_1101-2021_01_06_425544 243 6 in in IN 10_1101-2021_01_06_425544 243 7 an an DT 10_1101-2021_01_06_425544 243 8 epidemic epidemic NN 10_1101-2021_01_06_425544 243 9 or or CC 10_1101-2021_01_06_425544 243 10 a a DT 10_1101-2021_01_06_425544 243 11 pandemic pandemic JJ 10_1101-2021_01_06_425544 243 12 pose pose NN 10_1101-2021_01_06_425544 243 13 challenges challenge NNS 10_1101-2021_01_06_425544 243 14 to to IN 10_1101-2021_01_06_425544 243 15 the the DT 10_1101-2021_01_06_425544 243 16 evaluation evaluation NN 10_1101-2021_01_06_425544 243 17 whether whether IN 10_1101-2021_01_06_425544 243 18 a a DT 10_1101-2021_01_06_425544 243 19 decline decline NN 10_1101-2021_01_06_425544 243 20 reflects reflect VBZ 10_1101-2021_01_06_425544 243 21 true true JJ 10_1101-2021_01_06_425544 243 22 containment containment NN 10_1101-2021_01_06_425544 243 23 ( ( -LRB- 10_1101-2021_01_06_425544 243 24 “ " `` 10_1101-2021_01_06_425544 243 25 rounding round VBG 10_1101-2021_01_06_425544 243 26 the the DT 10_1101-2021_01_06_425544 243 27 corner corner NN 10_1101-2021_01_06_425544 243 28 ” " '' 10_1101-2021_01_06_425544 243 29 ) ) -RRB- 10_1101-2021_01_06_425544 243 30 or or CC 10_1101-2021_01_06_425544 243 31 just just RB 10_1101-2021_01_06_425544 243 32 the the DT 10_1101-2021_01_06_425544 243 33 calm calm NN 10_1101-2021_01_06_425544 243 34 before before IN 10_1101-2021_01_06_425544 243 35 another another DT 10_1101-2021_01_06_425544 243 36 wave wave NN 10_1101-2021_01_06_425544 243 37 . . . 10_1101-2021_01_06_425544 244 1 The the DT 10_1101-2021_01_06_425544 244 2 readouts readout NNS 10_1101-2021_01_06_425544 244 3 of of IN 10_1101-2021_01_06_425544 244 4 non non JJ 10_1101-2021_01_06_425544 244 5 - - JJ 10_1101-2021_01_06_425544 244 6 linear linear JJ 10_1101-2021_01_06_425544 244 7 systems system NNS 10_1101-2021_01_06_425544 244 8 analysis analysis NN 10_1101-2021_01_06_425544 244 9 can can MD 10_1101-2021_01_06_425544 244 10 aid aid VB 10_1101-2021_01_06_425544 244 11 in in IN 10_1101-2021_01_06_425544 244 12 making make VBG 10_1101-2021_01_06_425544 244 13 such such PDT 10_1101-2021_01_06_425544 244 14 a a DT 10_1101-2021_01_06_425544 244 15 distinction distinction NN 10_1101-2021_01_06_425544 244 16 . . . 10_1101-2021_01_06_425544 245 1 A a DT 10_1101-2021_01_06_425544 245 2 complex complex JJ 10_1101-2021_01_06_425544 245 3 occurrence occurrence NN 10_1101-2021_01_06_425544 245 4 that that WDT 10_1101-2021_01_06_425544 245 5 experiences experience VBZ 10_1101-2021_01_06_425544 245 6 containment containment NN 10_1101-2021_01_06_425544 245 7 will will MD 10_1101-2021_01_06_425544 245 8 strive strive VB 10_1101-2021_01_06_425544 245 9 toward toward IN 10_1101-2021_01_06_425544 245 10 a a DT 10_1101-2021_01_06_425544 245 11 point point NN 10_1101-2021_01_06_425544 245 12 attractor attractor NN 10_1101-2021_01_06_425544 245 13 in in IN 10_1101-2021_01_06_425544 245 14 phase phase NN 10_1101-2021_01_06_425544 245 15 space space NN 10_1101-2021_01_06_425544 245 16 and and CC 10_1101-2021_01_06_425544 245 17 move move VB 10_1101-2021_01_06_425544 245 18 toward toward IN 10_1101-2021_01_06_425544 245 19 the the DT 10_1101-2021_01_06_425544 245 20 origin origin NN 10_1101-2021_01_06_425544 245 21 . . . 10_1101-2021_01_06_425544 246 1 Such such PDT 10_1101-2021_01_06_425544 246 2 a a DT 10_1101-2021_01_06_425544 246 3 progression progression NN 10_1101-2021_01_06_425544 246 4 is be VBZ 10_1101-2021_01_06_425544 246 5 represented represent VBN 10_1101-2021_01_06_425544 246 6 in in IN 10_1101-2021_01_06_425544 246 7 a a DT 10_1101-2021_01_06_425544 246 8 declining decline VBG 10_1101-2021_01_06_425544 246 9 fractal fractal JJ 10_1101-2021_01_06_425544 246 10 dimension dimension NN 10_1101-2021_01_06_425544 246 11 , , , 10_1101-2021_01_06_425544 246 12 and and CC 10_1101-2021_01_06_425544 246 13 the the DT 10_1101-2021_01_06_425544 246 14 transition transition NN 10_1101-2021_01_06_425544 246 15 from from IN 10_1101-2021_01_06_425544 246 16 fluctuations fluctuation NNS 10_1101-2021_01_06_425544 246 17 ( ( -LRB- 10_1101-2021_01_06_425544 246 18 often often RB 10_1101-2021_01_06_425544 246 19 associated associate VBN 10_1101-2021_01_06_425544 246 20 with with IN 10_1101-2021_01_06_425544 246 21 a a DT 10_1101-2021_01_06_425544 246 22 torus torus NNP 10_1101-2021_01_06_425544 246 23 attractor attractor NN 10_1101-2021_01_06_425544 246 24 ) ) -RRB- 10_1101-2021_01_06_425544 246 25 toward toward IN 10_1101-2021_01_06_425544 246 26 limitation limitation NN 10_1101-2021_01_06_425544 246 27 of of IN 10_1101-2021_01_06_425544 246 28 new new JJ 10_1101-2021_01_06_425544 246 29 cases case NNS 10_1101-2021_01_06_425544 246 30 is be VBZ 10_1101-2021_01_06_425544 246 31 expected expect VBN 10_1101-2021_01_06_425544 246 32 to to TO 10_1101-2021_01_06_425544 246 33 reduce reduce VB 10_1101-2021_01_06_425544 246 34 the the DT 10_1101-2021_01_06_425544 246 35 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 246 36 . . . 10_1101-2021_01_06_425544 247 1 One one CD 10_1101-2021_01_06_425544 247 2 constraint constraint NN 10_1101-2021_01_06_425544 247 3 of of IN 10_1101-2021_01_06_425544 247 4 complex complex JJ 10_1101-2021_01_06_425544 247 5 systems system NNS 10_1101-2021_01_06_425544 247 6 analysis analysis NN 10_1101-2021_01_06_425544 247 7 is be VBZ 10_1101-2021_01_06_425544 247 8 the the DT 10_1101-2021_01_06_425544 247 9 need need NN 10_1101-2021_01_06_425544 247 10 for for IN 10_1101-2021_01_06_425544 247 11 large large JJ 10_1101-2021_01_06_425544 247 12 data data NN 10_1101-2021_01_06_425544 247 13 sets set NNS 10_1101-2021_01_06_425544 247 14 . . . 10_1101-2021_01_06_425544 248 1 In in IN 10_1101-2021_01_06_425544 248 2 this this DT 10_1101-2021_01_06_425544 248 3 regard regard NN 10_1101-2021_01_06_425544 248 4 , , , 10_1101-2021_01_06_425544 248 5 the the DT 10_1101-2021_01_06_425544 248 6 availability availability NN 10_1101-2021_01_06_425544 248 7 of of IN 10_1101-2021_01_06_425544 248 8 about about RB 10_1101-2021_01_06_425544 248 9 230 230 CD 10_1101-2021_01_06_425544 248 10 data datum NNS 10_1101-2021_01_06_425544 248 11 points point NNS 10_1101-2021_01_06_425544 248 12 ( ( -LRB- 10_1101-2021_01_06_425544 248 13 daily daily JJ 10_1101-2021_01_06_425544 248 14 new new JJ 10_1101-2021_01_06_425544 248 15 cases case NNS 10_1101-2021_01_06_425544 248 16 March March NNP 10_1101-2021_01_06_425544 248 17 through through IN 10_1101-2021_01_06_425544 248 18 October October NNP 10_1101-2021_01_06_425544 248 19 2020 2020 CD 10_1101-2021_01_06_425544 248 20 ) ) -RRB- 10_1101-2021_01_06_425544 248 21 for for IN 10_1101-2021_01_06_425544 248 22 each each DT 10_1101-2021_01_06_425544 248 23 geographic geographic JJ 10_1101-2021_01_06_425544 248 24 area area NN 10_1101-2021_01_06_425544 248 25 in in IN 10_1101-2021_01_06_425544 248 26 this this DT 10_1101-2021_01_06_425544 248 27 study study NN 10_1101-2021_01_06_425544 248 28 is be VBZ 10_1101-2021_01_06_425544 248 29 somewhat somewhat RB 10_1101-2021_01_06_425544 248 30 low low JJ 10_1101-2021_01_06_425544 248 31 . . . 10_1101-2021_01_06_425544 249 1 The the DT 10_1101-2021_01_06_425544 249 2 robustness robustness NN 10_1101-2021_01_06_425544 249 3 of of IN 10_1101-2021_01_06_425544 249 4 pertinent pertinent JJ 10_1101-2021_01_06_425544 249 5 studies study NNS 10_1101-2021_01_06_425544 249 6 increases increase VBZ 10_1101-2021_01_06_425544 249 7 with with IN 10_1101-2021_01_06_425544 249 8 larger large JJR 10_1101-2021_01_06_425544 249 9 data data NN 10_1101-2021_01_06_425544 249 10 sets set NNS 10_1101-2021_01_06_425544 249 11 over over IN 10_1101-2021_01_06_425544 249 12 time time NN 10_1101-2021_01_06_425544 249 13 . . . 10_1101-2021_01_06_425544 250 1 Reporting report VBG 10_1101-2021_01_06_425544 250 2 errors error NNS 10_1101-2021_01_06_425544 250 3 could could MD 10_1101-2021_01_06_425544 250 4 have have VB 10_1101-2021_01_06_425544 250 5 a a DT 10_1101-2021_01_06_425544 250 6 non non JJ 10_1101-2021_01_06_425544 250 7 - - JJ 10_1101-2021_01_06_425544 250 8 trivial trivial JJ 10_1101-2021_01_06_425544 250 9 impact impact NN 10_1101-2021_01_06_425544 250 10 , , , 10_1101-2021_01_06_425544 250 11 and and CC 10_1101-2021_01_06_425544 250 12 may may MD 10_1101-2021_01_06_425544 250 13 be be VB 10_1101-2021_01_06_425544 250 14 reflected reflect VBN 10_1101-2021_01_06_425544 250 15 in in IN 10_1101-2021_01_06_425544 250 16 the the DT 10_1101-2021_01_06_425544 250 17 frequent frequent JJ 10_1101-2021_01_06_425544 250 18 occurrence occurrence NN 10_1101-2021_01_06_425544 250 19 of of IN 10_1101-2021_01_06_425544 250 20 a a DT 10_1101-2021_01_06_425544 250 21 peak peak NN 10_1101-2021_01_06_425544 250 22 at at IN 10_1101-2021_01_06_425544 250 23 7 7 CD 10_1101-2021_01_06_425544 250 24 days day NNS 10_1101-2021_01_06_425544 250 25 in in IN 10_1101-2021_01_06_425544 250 26 the the DT 10_1101-2021_01_06_425544 250 27 spectral spectral JJ 10_1101-2021_01_06_425544 250 28 analysis analysis NN 10_1101-2021_01_06_425544 250 29 ( ( -LRB- 10_1101-2021_01_06_425544 250 30 possibly possibly RB 10_1101-2021_01_06_425544 250 31 indicating indicate VBG 10_1101-2021_01_06_425544 250 32 weekly weekly JJ 10_1101-2021_01_06_425544 250 33 totals total NNS 10_1101-2021_01_06_425544 250 34 ) ) -RRB- 10_1101-2021_01_06_425544 250 35 . . . 10_1101-2021_01_06_425544 251 1 This this DT 10_1101-2021_01_06_425544 251 2 problem problem NN 10_1101-2021_01_06_425544 251 3 can can MD 10_1101-2021_01_06_425544 251 4 be be VB 10_1101-2021_01_06_425544 251 5 addressed address VBN 10_1101-2021_01_06_425544 251 6 by by IN 10_1101-2021_01_06_425544 251 7 utilizing utilize VBG 10_1101-2021_01_06_425544 251 8 moving move VBG 10_1101-2021_01_06_425544 251 9 averages average NNS 10_1101-2021_01_06_425544 251 10 . . . 10_1101-2021_01_06_425544 252 1 The the DT 10_1101-2021_01_06_425544 252 2 homogeneity homogeneity NN 10_1101-2021_01_06_425544 252 3 or or CC 10_1101-2021_01_06_425544 252 4 heterogeneity heterogeneity NN 10_1101-2021_01_06_425544 252 5 in in IN 10_1101-2021_01_06_425544 252 6 management management NN 10_1101-2021_01_06_425544 252 7 by by IN 10_1101-2021_01_06_425544 252 8 the the DT 10_1101-2021_01_06_425544 252 9 community community NN 10_1101-2021_01_06_425544 252 10 under under IN 10_1101-2021_01_06_425544 252 11 study study NN 10_1101-2021_01_06_425544 252 12 determines determine VBZ 10_1101-2021_01_06_425544 252 13 the the DT 10_1101-2021_01_06_425544 252 14 noise noise NN 10_1101-2021_01_06_425544 252 15 level level NN 10_1101-2021_01_06_425544 252 16 . . . 10_1101-2021_01_06_425544 253 1 The the DT 10_1101-2021_01_06_425544 253 2 worldwide worldwide JJ 10_1101-2021_01_06_425544 253 3 numbers number NNS 10_1101-2021_01_06_425544 253 4 of of IN 10_1101-2021_01_06_425544 253 5 new new JJ 10_1101-2021_01_06_425544 253 6 infections infection NNS 10_1101-2021_01_06_425544 253 7 have have VBP 10_1101-2021_01_06_425544 253 8 a a DT 10_1101-2021_01_06_425544 253 9 lot lot NN 10_1101-2021_01_06_425544 253 10 of of IN 10_1101-2021_01_06_425544 253 11 background background NN 10_1101-2021_01_06_425544 253 12 due due IN 10_1101-2021_01_06_425544 253 13 to to IN 10_1101-2021_01_06_425544 253 14 varying vary VBG 10_1101-2021_01_06_425544 253 15 patterns pattern NNS 10_1101-2021_01_06_425544 253 16 across across IN 10_1101-2021_01_06_425544 253 17 countries country NNS 10_1101-2021_01_06_425544 253 18 . . . 10_1101-2021_01_06_425544 254 1 .CC .CC NFP 10_1101-2021_01_06_425544 254 2 - - : 10_1101-2021_01_06_425544 254 3 BY by IN 10_1101-2021_01_06_425544 254 4 4.0 4.0 CD 10_1101-2021_01_06_425544 254 5 International International NNP 10_1101-2021_01_06_425544 254 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 254 7 under under IN 10_1101-2021_01_06_425544 254 8 a a DT 10_1101-2021_01_06_425544 254 9 ( ( -LRB- 10_1101-2021_01_06_425544 254 10 which which WDT 10_1101-2021_01_06_425544 254 11 was be VBD 10_1101-2021_01_06_425544 254 12 not not RB 10_1101-2021_01_06_425544 254 13 certified certify VBN 10_1101-2021_01_06_425544 254 14 by by IN 10_1101-2021_01_06_425544 254 15 peer peer NN 10_1101-2021_01_06_425544 254 16 review review NN 10_1101-2021_01_06_425544 254 17 ) ) -RRB- 10_1101-2021_01_06_425544 254 18 is be VBZ 10_1101-2021_01_06_425544 254 19 the the DT 10_1101-2021_01_06_425544 254 20 author author NN 10_1101-2021_01_06_425544 254 21 / / SYM 10_1101-2021_01_06_425544 254 22 funder funder NN 10_1101-2021_01_06_425544 254 23 , , , 10_1101-2021_01_06_425544 254 24 who who WP 10_1101-2021_01_06_425544 254 25 has have VBZ 10_1101-2021_01_06_425544 254 26 granted grant VBN 10_1101-2021_01_06_425544 254 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 254 28 a a DT 10_1101-2021_01_06_425544 254 29 license license NN 10_1101-2021_01_06_425544 254 30 to to TO 10_1101-2021_01_06_425544 254 31 display display VB 10_1101-2021_01_06_425544 254 32 the the DT 10_1101-2021_01_06_425544 254 33 preprint preprint NN 10_1101-2021_01_06_425544 254 34 in in IN 10_1101-2021_01_06_425544 254 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 254 36 . . . 10_1101-2021_01_06_425544 255 1 It -PRON- PRP 10_1101-2021_01_06_425544 255 2 is be VBZ 10_1101-2021_01_06_425544 255 3 made make VBN 10_1101-2021_01_06_425544 255 4 The the DT 10_1101-2021_01_06_425544 255 5 copyright copyright NN 10_1101-2021_01_06_425544 255 6 holder holder NN 10_1101-2021_01_06_425544 255 7 for for IN 10_1101-2021_01_06_425544 255 8 this this DT 10_1101-2021_01_06_425544 255 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 255 10 version version NN 10_1101-2021_01_06_425544 255 11 posted post VBD 10_1101-2021_01_06_425544 255 12 January January NNP 10_1101-2021_01_06_425544 255 13 6 6 CD 10_1101-2021_01_06_425544 255 14 , , , 10_1101-2021_01_06_425544 255 15 2021 2021 CD 10_1101-2021_01_06_425544 255 16 . . . 10_1101-2021_01_06_425544 255 17 ; ; : 10_1101-2021_01_06_425544 255 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 255 19 : : : 10_1101-2021_01_06_425544 255 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 255 21 preprint preprint NN 10_1101-2021_01_06_425544 255 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 255 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 255 24 Acknowledgements Acknowledgements NNP 10_1101-2021_01_06_425544 255 25 GFW GFW NNP 10_1101-2021_01_06_425544 255 26 is be VBZ 10_1101-2021_01_06_425544 255 27 supported support VBN 10_1101-2021_01_06_425544 255 28 by by IN 10_1101-2021_01_06_425544 255 29 NIH NIH NNP 10_1101-2021_01_06_425544 255 30 grant grant VBP 10_1101-2021_01_06_425544 255 31 CA224104 ca224104 NN 10_1101-2021_01_06_425544 255 32 . . . 10_1101-2021_01_06_425544 256 1 .CC .CC NFP 10_1101-2021_01_06_425544 256 2 - - : 10_1101-2021_01_06_425544 256 3 BY by IN 10_1101-2021_01_06_425544 256 4 4.0 4.0 CD 10_1101-2021_01_06_425544 256 5 International International NNP 10_1101-2021_01_06_425544 256 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 256 7 under under IN 10_1101-2021_01_06_425544 256 8 a a DT 10_1101-2021_01_06_425544 256 9 ( ( -LRB- 10_1101-2021_01_06_425544 256 10 which which WDT 10_1101-2021_01_06_425544 256 11 was be VBD 10_1101-2021_01_06_425544 256 12 not not RB 10_1101-2021_01_06_425544 256 13 certified certify VBN 10_1101-2021_01_06_425544 256 14 by by IN 10_1101-2021_01_06_425544 256 15 peer peer NN 10_1101-2021_01_06_425544 256 16 review review NN 10_1101-2021_01_06_425544 256 17 ) ) -RRB- 10_1101-2021_01_06_425544 256 18 is be VBZ 10_1101-2021_01_06_425544 256 19 the the DT 10_1101-2021_01_06_425544 256 20 author author NN 10_1101-2021_01_06_425544 256 21 / / SYM 10_1101-2021_01_06_425544 256 22 funder funder NN 10_1101-2021_01_06_425544 256 23 , , , 10_1101-2021_01_06_425544 256 24 who who WP 10_1101-2021_01_06_425544 256 25 has have VBZ 10_1101-2021_01_06_425544 256 26 granted grant VBN 10_1101-2021_01_06_425544 256 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 256 28 a a DT 10_1101-2021_01_06_425544 256 29 license license NN 10_1101-2021_01_06_425544 256 30 to to TO 10_1101-2021_01_06_425544 256 31 display display VB 10_1101-2021_01_06_425544 256 32 the the DT 10_1101-2021_01_06_425544 256 33 preprint preprint NN 10_1101-2021_01_06_425544 256 34 in in IN 10_1101-2021_01_06_425544 256 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 256 36 . . . 10_1101-2021_01_06_425544 257 1 It -PRON- PRP 10_1101-2021_01_06_425544 257 2 is be VBZ 10_1101-2021_01_06_425544 257 3 made make VBN 10_1101-2021_01_06_425544 257 4 The the DT 10_1101-2021_01_06_425544 257 5 copyright copyright NN 10_1101-2021_01_06_425544 257 6 holder holder NN 10_1101-2021_01_06_425544 257 7 for for IN 10_1101-2021_01_06_425544 257 8 this this DT 10_1101-2021_01_06_425544 257 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 257 10 version version NN 10_1101-2021_01_06_425544 257 11 posted post VBD 10_1101-2021_01_06_425544 257 12 January January NNP 10_1101-2021_01_06_425544 257 13 6 6 CD 10_1101-2021_01_06_425544 257 14 , , , 10_1101-2021_01_06_425544 257 15 2021 2021 CD 10_1101-2021_01_06_425544 257 16 . . . 10_1101-2021_01_06_425544 257 17 ; ; : 10_1101-2021_01_06_425544 257 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 257 19 : : : 10_1101-2021_01_06_425544 257 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 257 21 preprint preprint NN 10_1101-2021_01_06_425544 257 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 257 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ -LRB- 10_1101-2021_01_06_425544 257 24 References reference NNS 10_1101-2021_01_06_425544 257 25 [ [ -LRB- 10_1101-2021_01_06_425544 257 26 1 1 CD 10_1101-2021_01_06_425544 257 27 ] ] -RRB- 10_1101-2021_01_06_425544 257 28 Christakis Christakis NNP 10_1101-2021_01_06_425544 257 29 NA NA NNP 10_1101-2021_01_06_425544 257 30 . . . 10_1101-2021_01_06_425544 258 1 Apollo Apollo NNP 10_1101-2021_01_06_425544 258 2 ’s ’s NNP 10_1101-2021_01_06_425544 258 3 Arrow Arrow NNP 10_1101-2021_01_06_425544 258 4 : : : 10_1101-2021_01_06_425544 258 5 The The NNP 10_1101-2021_01_06_425544 258 6 Profound Profound NNP 10_1101-2021_01_06_425544 258 7 and and CC 10_1101-2021_01_06_425544 258 8 Enduring Enduring NNP 10_1101-2021_01_06_425544 258 9 Impact Impact NNP 10_1101-2021_01_06_425544 258 10 of of IN 10_1101-2021_01_06_425544 258 11 Coronavirus Coronavirus NNP 10_1101-2021_01_06_425544 258 12 on on IN 10_1101-2021_01_06_425544 258 13 the the DT 10_1101-2021_01_06_425544 258 14 Way way NN 10_1101-2021_01_06_425544 258 15 We -PRON- PRP 10_1101-2021_01_06_425544 258 16 Live live VBP 10_1101-2021_01_06_425544 258 17 . . . 10_1101-2021_01_06_425544 259 1 New New NNP 10_1101-2021_01_06_425544 259 2 York York NNP 10_1101-2021_01_06_425544 259 3 ( ( -LRB- 10_1101-2021_01_06_425544 259 4 Hachette Hachette NNP 10_1101-2021_01_06_425544 259 5 Book Book NNP 10_1101-2021_01_06_425544 259 6 Group Group NNP 10_1101-2021_01_06_425544 259 7 ) ) -RRB- 10_1101-2021_01_06_425544 259 8 2020 2020 CD 10_1101-2021_01_06_425544 259 9 . . . 10_1101-2021_01_06_425544 260 1 [ [ -LRB- 10_1101-2021_01_06_425544 260 2 2 2 LS 10_1101-2021_01_06_425544 260 3 ] ] -RRB- 10_1101-2021_01_06_425544 260 4 Mehta Mehta NNP 10_1101-2021_01_06_425544 260 5 M M NNP 10_1101-2021_01_06_425544 260 6 , , , 10_1101-2021_01_06_425544 260 7 Julaiti Julaiti NNP 10_1101-2021_01_06_425544 260 8 J J NNP 10_1101-2021_01_06_425544 260 9 , , , 10_1101-2021_01_06_425544 260 10 Griffin Griffin NNP 10_1101-2021_01_06_425544 260 11 P P NNP 10_1101-2021_01_06_425544 260 12 , , , 10_1101-2021_01_06_425544 260 13 Kumara Kumara NNP 10_1101-2021_01_06_425544 260 14 S. S. NNP 10_1101-2021_01_06_425544 260 15 Early Early NNP 10_1101-2021_01_06_425544 260 16 Stage Stage NNP 10_1101-2021_01_06_425544 260 17 Machine Machine NNP 10_1101-2021_01_06_425544 260 18 Learning Learning NNP 10_1101-2021_01_06_425544 260 19 – – : 10_1101-2021_01_06_425544 260 20 Based Based NNP 10_1101-2021_01_06_425544 260 21 Prediction Prediction NNP 10_1101-2021_01_06_425544 260 22 of of IN 10_1101-2021_01_06_425544 260 23 US US NNP 10_1101-2021_01_06_425544 260 24 County County NNP 10_1101-2021_01_06_425544 260 25 Vulnerability Vulnerability NNP 10_1101-2021_01_06_425544 260 26 to to IN 10_1101-2021_01_06_425544 260 27 the the DT 10_1101-2021_01_06_425544 260 28 COVID-19 covid-19 JJ 10_1101-2021_01_06_425544 260 29 Pandemic pandemic NN 10_1101-2021_01_06_425544 260 30 : : : 10_1101-2021_01_06_425544 260 31 A a DT 10_1101-2021_01_06_425544 260 32 Machine Machine NNP 10_1101-2021_01_06_425544 260 33 Learning Learning NNP 10_1101-2021_01_06_425544 260 34 Approach Approach NNP 10_1101-2021_01_06_425544 260 35 . . . 10_1101-2021_01_06_425544 261 1 JMIR JMIR NNP 10_1101-2021_01_06_425544 261 2 Public Public NNP 10_1101-2021_01_06_425544 261 3 Health Health NNP 10_1101-2021_01_06_425544 261 4 and and CC 10_1101-2021_01_06_425544 261 5 Surveillance Surveillance NNP 10_1101-2021_01_06_425544 261 6 2020;6 2020;6 , 10_1101-2021_01_06_425544 261 7 : : : 10_1101-2021_01_06_425544 261 8 e19446 e19446 NNS 10_1101-2021_01_06_425544 261 9 . . . 10_1101-2021_01_06_425544 262 1 [ [ -LRB- 10_1101-2021_01_06_425544 262 2 3 3 LS 10_1101-2021_01_06_425544 262 3 ] ] -RRB- 10_1101-2021_01_06_425544 262 4 Wang Wang NNP 10_1101-2021_01_06_425544 262 5 K K NNP 10_1101-2021_01_06_425544 262 6 , , , 10_1101-2021_01_06_425544 262 7 Ding Ding NNP 10_1101-2021_01_06_425544 262 8 L L NNP 10_1101-2021_01_06_425544 262 9 , , , 10_1101-2021_01_06_425544 262 10 Yan Yan NNP 10_1101-2021_01_06_425544 262 11 Y Y NNP 10_1101-2021_01_06_425544 262 12 , , , 10_1101-2021_01_06_425544 262 13 Dai Dai NNP 10_1101-2021_01_06_425544 262 14 C C NNP 10_1101-2021_01_06_425544 262 15 , , , 10_1101-2021_01_06_425544 262 16 Qu Qu NNP 10_1101-2021_01_06_425544 262 17 M M NNP 10_1101-2021_01_06_425544 262 18 , , , 10_1101-2021_01_06_425544 262 19 Jiayi Jiayi NNP 10_1101-2021_01_06_425544 262 20 D D NNP 10_1101-2021_01_06_425544 262 21 , , , 10_1101-2021_01_06_425544 262 22 Hao Hao NNP 10_1101-2021_01_06_425544 262 23 X. X. NNP 10_1101-2021_01_06_425544 262 24 Modelling model VBG 10_1101-2021_01_06_425544 262 25 the the DT 10_1101-2021_01_06_425544 262 26 initial initial JJ 10_1101-2021_01_06_425544 262 27 epidemic epidemic NN 10_1101-2021_01_06_425544 262 28 trends trend NNS 10_1101-2021_01_06_425544 262 29 of of IN 10_1101-2021_01_06_425544 262 30 COVID-19 covid-19 NN 10_1101-2021_01_06_425544 262 31 in in IN 10_1101-2021_01_06_425544 262 32 Italy Italy NNP 10_1101-2021_01_06_425544 262 33 , , , 10_1101-2021_01_06_425544 262 34 Spain Spain NNP 10_1101-2021_01_06_425544 262 35 , , , 10_1101-2021_01_06_425544 262 36 Germany Germany NNP 10_1101-2021_01_06_425544 262 37 , , , 10_1101-2021_01_06_425544 262 38 and and CC 10_1101-2021_01_06_425544 262 39 France France NNP 10_1101-2021_01_06_425544 262 40 . . . 10_1101-2021_01_06_425544 263 1 PLoS PLoS NNP 10_1101-2021_01_06_425544 263 2 ONE one CD 10_1101-2021_01_06_425544 263 3 2020;15 2020;15 CD 10_1101-2021_01_06_425544 263 4 : : : 10_1101-2021_01_06_425544 263 5 e0241743 e0241743 NNP 10_1101-2021_01_06_425544 263 6 . . . 10_1101-2021_01_06_425544 264 1 [ [ -LRB- 10_1101-2021_01_06_425544 264 2 4 4 LS 10_1101-2021_01_06_425544 264 3 ] ] -RRB- 10_1101-2021_01_06_425544 264 4 Bin Bin NNP 10_1101-2021_01_06_425544 264 5 S S NNP 10_1101-2021_01_06_425544 264 6 , , , 10_1101-2021_01_06_425544 264 7 Sun Sun NNP 10_1101-2021_01_06_425544 264 8 G G NNP 10_1101-2021_01_06_425544 264 9 , , , 10_1101-2021_01_06_425544 264 10 Chen Chen NNP 10_1101-2021_01_06_425544 264 11 C C NNP 10_1101-2021_01_06_425544 264 12 - - HYPH 10_1101-2021_01_06_425544 264 13 C. C. NNP 10_1101-2021_01_06_425544 265 1 Spread Spread NNP 10_1101-2021_01_06_425544 265 2 of of IN 10_1101-2021_01_06_425544 265 3 Infectious Infectious NNP 10_1101-2021_01_06_425544 265 4 Disease Disease NNP 10_1101-2021_01_06_425544 265 5 Modeling Modeling NNP 10_1101-2021_01_06_425544 265 6 and and CC 10_1101-2021_01_06_425544 265 7 Analysis Analysis NNP 10_1101-2021_01_06_425544 265 8 of of IN 10_1101-2021_01_06_425544 265 9 Different Different NNP 10_1101-2021_01_06_425544 265 10 Factors Factors NNPS 10_1101-2021_01_06_425544 265 11 on on IN 10_1101-2021_01_06_425544 265 12 Spread Spread NNP 10_1101-2021_01_06_425544 265 13 of of IN 10_1101-2021_01_06_425544 265 14 Infectious infectious JJ 10_1101-2021_01_06_425544 265 15 Disease Disease NNP 10_1101-2021_01_06_425544 265 16 Based base VBN 10_1101-2021_01_06_425544 265 17 on on IN 10_1101-2021_01_06_425544 265 18 Cellular Cellular NNP 10_1101-2021_01_06_425544 265 19 Automata Automata NNP 10_1101-2021_01_06_425544 265 20 . . . 10_1101-2021_01_06_425544 266 1 Int Int NNP 10_1101-2021_01_06_425544 266 2 J J NNP 10_1101-2021_01_06_425544 266 3 Environ Environ NNP 10_1101-2021_01_06_425544 266 4 Res Res NNP 10_1101-2021_01_06_425544 266 5 Public Public NNP 10_1101-2021_01_06_425544 266 6 Health Health NNP 10_1101-2021_01_06_425544 266 7 2019;16:4683 2019;16:4683 CD 10_1101-2021_01_06_425544 266 8 . . . 10_1101-2021_01_06_425544 267 1 [ [ -LRB- 10_1101-2021_01_06_425544 267 2 5 5 CD 10_1101-2021_01_06_425544 267 3 ] ] -RRB- 10_1101-2021_01_06_425544 267 4 Blasius Blasius NNP 10_1101-2021_01_06_425544 267 5 , , , 10_1101-2021_01_06_425544 267 6 B. B. NNP 10_1101-2021_01_06_425544 267 7 Power Power NNP 10_1101-2021_01_06_425544 267 8 - - HYPH 10_1101-2021_01_06_425544 267 9 law law NN 10_1101-2021_01_06_425544 267 10 distribution distribution NN 10_1101-2021_01_06_425544 267 11 in in IN 10_1101-2021_01_06_425544 267 12 the the DT 10_1101-2021_01_06_425544 267 13 number number NN 10_1101-2021_01_06_425544 267 14 of of IN 10_1101-2021_01_06_425544 267 15 confirmed confirm VBN 10_1101-2021_01_06_425544 267 16 COVID-19 covid-19 NN 10_1101-2021_01_06_425544 267 17 cases case NNS 10_1101-2021_01_06_425544 267 18 . . . 10_1101-2021_01_06_425544 268 1 Chaos Chaos NNP 10_1101-2021_01_06_425544 268 2 2020;30:093123 2020;30:093123 CD 10_1101-2021_01_06_425544 268 3 . . . 10_1101-2021_01_06_425544 269 1 [ [ -LRB- 10_1101-2021_01_06_425544 269 2 6 6 CD 10_1101-2021_01_06_425544 269 3 ] ] -RRB- 10_1101-2021_01_06_425544 269 4 Abarbanel Abarbanel NNP 10_1101-2021_01_06_425544 269 5 HDI HDI NNP 10_1101-2021_01_06_425544 269 6 . . . 10_1101-2021_01_06_425544 270 1 Analysis analysis NN 10_1101-2021_01_06_425544 270 2 of of IN 10_1101-2021_01_06_425544 270 3 Observed Observed NNP 10_1101-2021_01_06_425544 270 4 Chaotic Chaotic NNP 10_1101-2021_01_06_425544 270 5 Data Data NNPS 10_1101-2021_01_06_425544 270 6 . . . 10_1101-2021_01_06_425544 271 1 Switzerland Switzerland NNP 10_1101-2021_01_06_425544 271 2 ( ( -LRB- 10_1101-2021_01_06_425544 271 3 Springer Springer NNP 10_1101-2021_01_06_425544 271 4 Nature Nature NNP 10_1101-2021_01_06_425544 271 5 ) ) -RRB- 10_1101-2021_01_06_425544 271 6 1995 1995 CD 10_1101-2021_01_06_425544 271 7 . . . 10_1101-2021_01_06_425544 272 1 [ [ -LRB- 10_1101-2021_01_06_425544 272 2 7 7 CD 10_1101-2021_01_06_425544 272 3 ] ] -RRB- 10_1101-2021_01_06_425544 272 4 Chakraborty Chakraborty NNP 10_1101-2021_01_06_425544 272 5 I I NNP 10_1101-2021_01_06_425544 272 6 , , , 10_1101-2021_01_06_425544 272 7 Maity Maity NNP 10_1101-2021_01_06_425544 272 8 P. P. NNP 10_1101-2021_01_06_425544 272 9 COVID-19 COVID-19 NNP 10_1101-2021_01_06_425544 272 10 outbreak outbreak NN 10_1101-2021_01_06_425544 272 11 : : : 10_1101-2021_01_06_425544 272 12 Migration migration NN 10_1101-2021_01_06_425544 272 13 , , , 10_1101-2021_01_06_425544 272 14 effects effect NNS 10_1101-2021_01_06_425544 272 15 on on IN 10_1101-2021_01_06_425544 272 16 society society NN 10_1101-2021_01_06_425544 272 17 , , , 10_1101-2021_01_06_425544 272 18 global global JJ 10_1101-2021_01_06_425544 272 19 environment environment NN 10_1101-2021_01_06_425544 272 20 and and CC 10_1101-2021_01_06_425544 272 21 prevention prevention NN 10_1101-2021_01_06_425544 272 22 . . . 10_1101-2021_01_06_425544 273 1 Science science NN 10_1101-2021_01_06_425544 273 2 of of IN 10_1101-2021_01_06_425544 273 3 the the DT 10_1101-2021_01_06_425544 273 4 Total Total NNP 10_1101-2021_01_06_425544 273 5 Environment Environment NNP 10_1101-2021_01_06_425544 273 6 2020;728:138882 2020;728:138882 CD 10_1101-2021_01_06_425544 273 7 . . . 10_1101-2021_01_06_425544 274 1 [ [ -LRB- 10_1101-2021_01_06_425544 274 2 8 8 CD 10_1101-2021_01_06_425544 274 3 ] ] -RRB- 10_1101-2021_01_06_425544 274 4 Bertacchini Bertacchini NNP 10_1101-2021_01_06_425544 274 5 F F NNP 10_1101-2021_01_06_425544 274 6 , , , 10_1101-2021_01_06_425544 274 7 Bilotta Bilotta NNP 10_1101-2021_01_06_425544 274 8 E E NNP 10_1101-2021_01_06_425544 274 9 , , , 10_1101-2021_01_06_425544 274 10 Pantano Pantano NNP 10_1101-2021_01_06_425544 274 11 PS PS NNP 10_1101-2021_01_06_425544 274 12 . . . 10_1101-2021_01_06_425544 275 1 On on IN 10_1101-2021_01_06_425544 275 2 the the DT 10_1101-2021_01_06_425544 275 3 temporal temporal JJ 10_1101-2021_01_06_425544 275 4 spreading spreading NN 10_1101-2021_01_06_425544 275 5 of of IN 10_1101-2021_01_06_425544 275 6 the the DT 10_1101-2021_01_06_425544 275 7 SARSCoV-2 sarscov-2 NN 10_1101-2021_01_06_425544 275 8 . . . 10_1101-2021_01_06_425544 276 1 PLoS PLoS NNP 10_1101-2021_01_06_425544 276 2 ONE one CD 10_1101-2021_01_06_425544 276 3 2020;15 2020;15 CD 10_1101-2021_01_06_425544 276 4 : : : 10_1101-2021_01_06_425544 276 5 e0240777 e0240777 CD 10_1101-2021_01_06_425544 276 6 . . . 10_1101-2021_01_06_425544 277 1 [ [ -LRB- 10_1101-2021_01_06_425544 277 2 9 9 CD 10_1101-2021_01_06_425544 277 3 ] ] -RRB- 10_1101-2021_01_06_425544 277 4 White White NNP 10_1101-2021_01_06_425544 277 5 ER ER NNP 10_1101-2021_01_06_425544 277 6 , , , 10_1101-2021_01_06_425544 277 7 Hébert Hébert NNP 10_1101-2021_01_06_425544 277 8 - - HYPH 10_1101-2021_01_06_425544 277 9 Dufresne Dufresne NNP 10_1101-2021_01_06_425544 277 10 L. L. NNP 10_1101-2021_01_06_425544 277 11 State State NNP 10_1101-2021_01_06_425544 277 12 - - HYPH 10_1101-2021_01_06_425544 277 13 level level NN 10_1101-2021_01_06_425544 277 14 variation variation NN 10_1101-2021_01_06_425544 277 15 of of IN 10_1101-2021_01_06_425544 277 16 initial initial JJ 10_1101-2021_01_06_425544 277 17 COVID-19 COVID-19 : 10_1101-2021_01_06_425544 277 18 dynamics dynamic NNS 10_1101-2021_01_06_425544 277 19 in in IN 10_1101-2021_01_06_425544 277 20 the the DT 10_1101-2021_01_06_425544 277 21 United United NNP 10_1101-2021_01_06_425544 277 22 States States NNP 10_1101-2021_01_06_425544 277 23 . . . 10_1101-2021_01_06_425544 278 1 PLoS PLoS NNP 10_1101-2021_01_06_425544 278 2 ONE one CD 10_1101-2021_01_06_425544 278 3 2020;15 2020;15 CD 10_1101-2021_01_06_425544 278 4 : : : 10_1101-2021_01_06_425544 278 5 e0240648 e0240648 NN 10_1101-2021_01_06_425544 278 6 . . . 10_1101-2021_01_06_425544 279 1 [ [ -LRB- 10_1101-2021_01_06_425544 279 2 10 10 CD 10_1101-2021_01_06_425544 279 3 ] ] -RRB- 10_1101-2021_01_06_425544 279 4 Roesch Roesch NNP 10_1101-2021_01_06_425544 279 5 A A NNP 10_1101-2021_01_06_425544 279 6 , , , 10_1101-2021_01_06_425544 279 7 Schmidbauer Schmidbauer NNP 10_1101-2021_01_06_425544 279 8 H. H. NNP 10_1101-2021_01_06_425544 279 9 WaveletComp WaveletComp NNP 10_1101-2021_01_06_425544 279 10 : : : 10_1101-2021_01_06_425544 279 11 Computational computational JJ 10_1101-2021_01_06_425544 279 12 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 279 13 Analysis Analysis NNP 10_1101-2021_01_06_425544 279 14 . . . 10_1101-2021_01_06_425544 280 1 R r NN 10_1101-2021_01_06_425544 280 2 package package NN 10_1101-2021_01_06_425544 280 3 version version NN 10_1101-2021_01_06_425544 280 4 1.1 1.1 CD 10_1101-2021_01_06_425544 280 5 . . . 10_1101-2021_01_06_425544 281 1 2018 2018 CD 10_1101-2021_01_06_425544 281 2 . . . 10_1101-2021_01_06_425544 281 3 https://CRAN.R-project.org/package=WaveletComp https://cran.r-project.org/package=waveletcomp NN 10_1101-2021_01_06_425544 281 4 [ [ -LRB- 10_1101-2021_01_06_425544 281 5 11 11 CD 10_1101-2021_01_06_425544 281 6 ] ] -RRB- 10_1101-2021_01_06_425544 281 7 Păcurar Păcurar NNP 10_1101-2021_01_06_425544 281 8 C C NNP 10_1101-2021_01_06_425544 281 9 - - HYPH 10_1101-2021_01_06_425544 281 10 M M NNP 10_1101-2021_01_06_425544 281 11 , , , 10_1101-2021_01_06_425544 281 12 Necula Necula NNP 10_1101-2021_01_06_425544 281 13 B B NNP 10_1101-2021_01_06_425544 281 14 - - HYPH 10_1101-2021_01_06_425544 281 15 R. R. NNP 10_1101-2021_01_06_425544 281 16 An an DT 10_1101-2021_01_06_425544 281 17 analysis analysis NN 10_1101-2021_01_06_425544 281 18 of of IN 10_1101-2021_01_06_425544 281 19 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 281 20 spread spread NN 10_1101-2021_01_06_425544 281 21 based base VBN 10_1101-2021_01_06_425544 281 22 on on IN 10_1101-2021_01_06_425544 281 23 fractal fractal JJ 10_1101-2021_01_06_425544 281 24 interpolation interpolation NN 10_1101-2021_01_06_425544 281 25 and and CC 10_1101-2021_01_06_425544 281 26 fractal fractal JJ 10_1101-2021_01_06_425544 281 27 dimension dimension NN 10_1101-2021_01_06_425544 281 28 . . . 10_1101-2021_01_06_425544 282 1 Chaos Chaos NNP 10_1101-2021_01_06_425544 282 2 , , , 10_1101-2021_01_06_425544 282 3 Solitons Solitons NNPS 10_1101-2021_01_06_425544 282 4 & & CC 10_1101-2021_01_06_425544 282 5 Fractals Fractals NNP 10_1101-2021_01_06_425544 282 6 2020;139,110073 2020;139,110073 CD 10_1101-2021_01_06_425544 282 7 . . . 10_1101-2021_01_06_425544 283 1 .CC .CC NFP 10_1101-2021_01_06_425544 283 2 - - : 10_1101-2021_01_06_425544 283 3 BY by IN 10_1101-2021_01_06_425544 283 4 4.0 4.0 CD 10_1101-2021_01_06_425544 283 5 International International NNP 10_1101-2021_01_06_425544 283 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 283 7 under under IN 10_1101-2021_01_06_425544 283 8 a a DT 10_1101-2021_01_06_425544 283 9 ( ( -LRB- 10_1101-2021_01_06_425544 283 10 which which WDT 10_1101-2021_01_06_425544 283 11 was be VBD 10_1101-2021_01_06_425544 283 12 not not RB 10_1101-2021_01_06_425544 283 13 certified certify VBN 10_1101-2021_01_06_425544 283 14 by by IN 10_1101-2021_01_06_425544 283 15 peer peer NN 10_1101-2021_01_06_425544 283 16 review review NN 10_1101-2021_01_06_425544 283 17 ) ) -RRB- 10_1101-2021_01_06_425544 283 18 is be VBZ 10_1101-2021_01_06_425544 283 19 the the DT 10_1101-2021_01_06_425544 283 20 author author NN 10_1101-2021_01_06_425544 283 21 / / SYM 10_1101-2021_01_06_425544 283 22 funder funder NN 10_1101-2021_01_06_425544 283 23 , , , 10_1101-2021_01_06_425544 283 24 who who WP 10_1101-2021_01_06_425544 283 25 has have VBZ 10_1101-2021_01_06_425544 283 26 granted grant VBN 10_1101-2021_01_06_425544 283 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 283 28 a a DT 10_1101-2021_01_06_425544 283 29 license license NN 10_1101-2021_01_06_425544 283 30 to to TO 10_1101-2021_01_06_425544 283 31 display display VB 10_1101-2021_01_06_425544 283 32 the the DT 10_1101-2021_01_06_425544 283 33 preprint preprint NN 10_1101-2021_01_06_425544 283 34 in in IN 10_1101-2021_01_06_425544 283 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 283 36 . . . 10_1101-2021_01_06_425544 284 1 It -PRON- PRP 10_1101-2021_01_06_425544 284 2 is be VBZ 10_1101-2021_01_06_425544 284 3 made make VBN 10_1101-2021_01_06_425544 284 4 The the DT 10_1101-2021_01_06_425544 284 5 copyright copyright NN 10_1101-2021_01_06_425544 284 6 holder holder NN 10_1101-2021_01_06_425544 284 7 for for IN 10_1101-2021_01_06_425544 284 8 this this DT 10_1101-2021_01_06_425544 284 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 284 10 version version NN 10_1101-2021_01_06_425544 284 11 posted post VBD 10_1101-2021_01_06_425544 284 12 January January NNP 10_1101-2021_01_06_425544 284 13 6 6 CD 10_1101-2021_01_06_425544 284 14 , , , 10_1101-2021_01_06_425544 284 15 2021 2021 CD 10_1101-2021_01_06_425544 284 16 . . . 10_1101-2021_01_06_425544 284 17 ; ; : 10_1101-2021_01_06_425544 284 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 284 19 : : : 10_1101-2021_01_06_425544 284 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 284 21 preprint preprint NN 10_1101-2021_01_06_425544 284 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 284 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 284 24 Tables Tables NNPS 10_1101-2021_01_06_425544 284 25 and and CC 10_1101-2021_01_06_425544 284 26 Figures Figures NNPS 10_1101-2021_01_06_425544 284 27 Figure Figure NNP 10_1101-2021_01_06_425544 284 28 1 1 CD 10_1101-2021_01_06_425544 284 29 : : : 10_1101-2021_01_06_425544 284 30 Time time NN 10_1101-2021_01_06_425544 284 31 - - HYPH 10_1101-2021_01_06_425544 284 32 Course course NN 10_1101-2021_01_06_425544 284 33 of of IN 10_1101-2021_01_06_425544 284 34 Disease Disease NNP 10_1101-2021_01_06_425544 284 35 Spread Spread VBN 10_1101-2021_01_06_425544 284 36 by by IN 10_1101-2021_01_06_425544 284 37 Country country NN 10_1101-2021_01_06_425544 284 38 . . . 10_1101-2021_01_06_425544 285 1 Numbers number NNS 10_1101-2021_01_06_425544 285 2 of of IN 10_1101-2021_01_06_425544 285 3 new new JJ 10_1101-2021_01_06_425544 285 4 cases case NNS 10_1101-2021_01_06_425544 285 5 , , , 10_1101-2021_01_06_425544 285 6 x(t x(t NNP 10_1101-2021_01_06_425544 285 7 ) ) -RRB- 10_1101-2021_01_06_425544 285 8 , , , 10_1101-2021_01_06_425544 285 9 per per IN 10_1101-2021_01_06_425544 285 10 day day NN 10_1101-2021_01_06_425544 285 11 versus versus IN 10_1101-2021_01_06_425544 285 12 time time NN 10_1101-2021_01_06_425544 285 13 ( ( -LRB- 10_1101-2021_01_06_425544 285 14 t t NNP 10_1101-2021_01_06_425544 285 15 , , , 10_1101-2021_01_06_425544 285 16 indicating indicate VBG 10_1101-2021_01_06_425544 285 17 the the DT 10_1101-2021_01_06_425544 285 18 date date NN 10_1101-2021_01_06_425544 285 19 ) ) -RRB- 10_1101-2021_01_06_425544 285 20 . . . 10_1101-2021_01_06_425544 286 1 Shown show VBN 10_1101-2021_01_06_425544 286 2 are be VBP 10_1101-2021_01_06_425544 286 3 the the DT 10_1101-2021_01_06_425544 286 4 curves curve NNS 10_1101-2021_01_06_425544 286 5 for for IN 10_1101-2021_01_06_425544 286 6 ( ( -LRB- 10_1101-2021_01_06_425544 286 7 top top NN 10_1101-2021_01_06_425544 286 8 to to IN 10_1101-2021_01_06_425544 286 9 bottom bottom NN 10_1101-2021_01_06_425544 286 10 , , , 10_1101-2021_01_06_425544 286 11 left leave VBN 10_1101-2021_01_06_425544 286 12 to to IN 10_1101-2021_01_06_425544 286 13 right right NN 10_1101-2021_01_06_425544 286 14 ) ) -RRB- 10_1101-2021_01_06_425544 286 15 the the DT 10_1101-2021_01_06_425544 286 16 globe globe NN 10_1101-2021_01_06_425544 286 17 , , , 10_1101-2021_01_06_425544 286 18 India India NNP 10_1101-2021_01_06_425544 286 19 , , , 10_1101-2021_01_06_425544 286 20 Brazil Brazil NNP 10_1101-2021_01_06_425544 286 21 , , , 10_1101-2021_01_06_425544 286 22 Sweden Sweden NNP 10_1101-2021_01_06_425544 286 23 , , , 10_1101-2021_01_06_425544 286 24 Italy Italy NNP 10_1101-2021_01_06_425544 286 25 , , , 10_1101-2021_01_06_425544 286 26 USA USA NNP 10_1101-2021_01_06_425544 286 27 , , , 10_1101-2021_01_06_425544 286 28 France France NNP 10_1101-2021_01_06_425544 286 29 , , , 10_1101-2021_01_06_425544 286 30 Germany Germany NNP 10_1101-2021_01_06_425544 286 31 , , , 10_1101-2021_01_06_425544 286 32 Poland Poland NNP 10_1101-2021_01_06_425544 286 33 , , , 10_1101-2021_01_06_425544 286 34 and and CC 10_1101-2021_01_06_425544 286 35 South South NNP 10_1101-2021_01_06_425544 286 36 Korea Korea NNP 10_1101-2021_01_06_425544 286 37 . . . 10_1101-2021_01_06_425544 287 1 Note note VB 10_1101-2021_01_06_425544 287 2 the the DT 10_1101-2021_01_06_425544 287 3 different different JJ 10_1101-2021_01_06_425544 287 4 scales scale NNS 10_1101-2021_01_06_425544 287 5 of of IN 10_1101-2021_01_06_425544 287 6 the the DT 10_1101-2021_01_06_425544 287 7 y y NNP 10_1101-2021_01_06_425544 287 8 - - HYPH 10_1101-2021_01_06_425544 287 9 axes axis NNS 10_1101-2021_01_06_425544 287 10 . . . 10_1101-2021_01_06_425544 288 1 Figure figure NN 10_1101-2021_01_06_425544 288 2 2 2 CD 10_1101-2021_01_06_425544 288 3 : : : 10_1101-2021_01_06_425544 288 4 Univariate Univariate NNP 10_1101-2021_01_06_425544 288 5 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 288 6 Analysis analysis NN 10_1101-2021_01_06_425544 288 7 . . . 10_1101-2021_01_06_425544 289 1 Cross Cross NNP 10_1101-2021_01_06_425544 289 2 - - NNP 10_1101-2021_01_06_425544 289 3 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 289 4 Power Power NNP 10_1101-2021_01_06_425544 289 5 Spectrum Spectrum NNP 10_1101-2021_01_06_425544 289 6 in in IN 10_1101-2021_01_06_425544 289 7 the the DT 10_1101-2021_01_06_425544 289 8 Time Time NNP 10_1101-2021_01_06_425544 289 9 - - HYPH 10_1101-2021_01_06_425544 289 10 Period Period NNP 10_1101-2021_01_06_425544 289 11 Domain Domain NNP 10_1101-2021_01_06_425544 289 12 . . . 10_1101-2021_01_06_425544 290 1 The the DT 10_1101-2021_01_06_425544 290 2 x x NN 10_1101-2021_01_06_425544 290 3 - - : 10_1101-2021_01_06_425544 290 4 axis axis NNP 10_1101-2021_01_06_425544 290 5 ( ( -LRB- 10_1101-2021_01_06_425544 290 6 index index NN 10_1101-2021_01_06_425544 290 7 ) ) -RRB- 10_1101-2021_01_06_425544 290 8 displays display VBZ 10_1101-2021_01_06_425544 290 9 the the DT 10_1101-2021_01_06_425544 290 10 time time NN 10_1101-2021_01_06_425544 290 11 progression progression NN 10_1101-2021_01_06_425544 290 12 , , , 10_1101-2021_01_06_425544 290 13 whereas whereas IN 10_1101-2021_01_06_425544 290 14 the the DT 10_1101-2021_01_06_425544 290 15 y y NN 10_1101-2021_01_06_425544 290 16 - - HYPH 10_1101-2021_01_06_425544 290 17 axis axis NNP 10_1101-2021_01_06_425544 290 18 depicts depict VBZ 10_1101-2021_01_06_425544 290 19 the the DT 10_1101-2021_01_06_425544 290 20 length length NN 10_1101-2021_01_06_425544 290 21 of of IN 10_1101-2021_01_06_425544 290 22 the the DT 10_1101-2021_01_06_425544 290 23 period period NN 10_1101-2021_01_06_425544 290 24 . . . 10_1101-2021_01_06_425544 291 1 White white JJ 10_1101-2021_01_06_425544 291 2 contour contour NN 10_1101-2021_01_06_425544 291 3 lines line NNS 10_1101-2021_01_06_425544 291 4 indicate indicate VBP 10_1101-2021_01_06_425544 291 5 significance significance NN 10_1101-2021_01_06_425544 291 6 of of IN 10_1101-2021_01_06_425544 291 7 periodicity periodicity NN 10_1101-2021_01_06_425544 291 8 on on IN 10_1101-2021_01_06_425544 291 9 the the DT 10_1101-2021_01_06_425544 291 10 0.1 0.1 CD 10_1101-2021_01_06_425544 291 11 level level NN 10_1101-2021_01_06_425544 291 12 for for IN 10_1101-2021_01_06_425544 291 13 probability probability NN 10_1101-2021_01_06_425544 291 14 of of IN 10_1101-2021_01_06_425544 291 15 error error NN 10_1101-2021_01_06_425544 291 16 . . . 10_1101-2021_01_06_425544 292 1 Lines line NNS 10_1101-2021_01_06_425544 292 2 represent represent VBP 10_1101-2021_01_06_425544 292 3 the the DT 10_1101-2021_01_06_425544 292 4 ridge ridge NN 10_1101-2021_01_06_425544 292 5 of of IN 10_1101-2021_01_06_425544 292 6 cross cross JJ 10_1101-2021_01_06_425544 292 7 - - JJ 10_1101-2021_01_06_425544 292 8 wavelet wavelet JJ 10_1101-2021_01_06_425544 292 9 power power NN 10_1101-2021_01_06_425544 292 10 . . . 10_1101-2021_01_06_425544 293 1 The the DT 10_1101-2021_01_06_425544 293 2 color color NN 10_1101-2021_01_06_425544 293 3 bar bar NN 10_1101-2021_01_06_425544 293 4 reveals reveal VBZ 10_1101-2021_01_06_425544 293 5 the the DT 10_1101-2021_01_06_425544 293 6 power power NN 10_1101-2021_01_06_425544 293 7 gradient gradient NN 10_1101-2021_01_06_425544 293 8 . . . 10_1101-2021_01_06_425544 294 1 A a LS 10_1101-2021_01_06_425544 294 2 ) ) -RRB- 10_1101-2021_01_06_425544 294 3 All all DT 10_1101-2021_01_06_425544 294 4 countries country NNS 10_1101-2021_01_06_425544 294 5 on on IN 10_1101-2021_01_06_425544 294 6 the the DT 10_1101-2021_01_06_425544 294 7 same same JJ 10_1101-2021_01_06_425544 294 8 scale scale NN 10_1101-2021_01_06_425544 294 9 . . . 10_1101-2021_01_06_425544 295 1 B b NN 10_1101-2021_01_06_425544 295 2 ) ) -RRB- 10_1101-2021_01_06_425544 295 3 Each each DT 10_1101-2021_01_06_425544 295 4 country country NN 10_1101-2021_01_06_425544 295 5 on on IN 10_1101-2021_01_06_425544 295 6 its -PRON- PRP$ 10_1101-2021_01_06_425544 295 7 own own JJ 10_1101-2021_01_06_425544 295 8 scale scale NN 10_1101-2021_01_06_425544 295 9 . . . 10_1101-2021_01_06_425544 296 1 Figure figure NN 10_1101-2021_01_06_425544 296 2 3 3 CD 10_1101-2021_01_06_425544 296 3 : : : 10_1101-2021_01_06_425544 296 4 Fourier Fourier NNP 10_1101-2021_01_06_425544 296 5 Analysis Analysis NNP 10_1101-2021_01_06_425544 296 6 . . . 10_1101-2021_01_06_425544 297 1 A a LS 10_1101-2021_01_06_425544 297 2 ) ) -RRB- 10_1101-2021_01_06_425544 297 3 New New NNP 10_1101-2021_01_06_425544 297 4 Infection infection NN 10_1101-2021_01_06_425544 297 5 Rates rate NNS 10_1101-2021_01_06_425544 297 6 . . . 10_1101-2021_01_06_425544 298 1 Daily Daily NNP 10_1101-2021_01_06_425544 298 2 reported report VBD 10_1101-2021_01_06_425544 298 3 new new JJ 10_1101-2021_01_06_425544 298 4 numbers number NNS 10_1101-2021_01_06_425544 298 5 of of IN 10_1101-2021_01_06_425544 298 6 infections infection NNS 10_1101-2021_01_06_425544 298 7 divided divide VBN 10_1101-2021_01_06_425544 298 8 by by IN 10_1101-2021_01_06_425544 298 9 10,000 10,000 CD 10_1101-2021_01_06_425544 298 10 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 298 11 . . . 10_1101-2021_01_06_425544 299 1 The the DT 10_1101-2021_01_06_425544 299 2 x x NN 10_1101-2021_01_06_425544 299 3 - - : 10_1101-2021_01_06_425544 299 4 axis axis RB 10_1101-2021_01_06_425544 299 5 shows show VBZ 10_1101-2021_01_06_425544 299 6 the the DT 10_1101-2021_01_06_425544 299 7 calendar calendar NN 10_1101-2021_01_06_425544 299 8 date date NN 10_1101-2021_01_06_425544 299 9 . . . 10_1101-2021_01_06_425544 300 1 B B NNP 10_1101-2021_01_06_425544 300 2 ) ) -RRB- 10_1101-2021_01_06_425544 300 3 Power Power NNP 10_1101-2021_01_06_425544 300 4 Spectrum Spectrum NNP 10_1101-2021_01_06_425544 300 5 . . . 10_1101-2021_01_06_425544 301 1 Fourier fouri JJR 10_1101-2021_01_06_425544 301 2 power power NN 10_1101-2021_01_06_425544 301 3 spectra spectra NN 10_1101-2021_01_06_425544 301 4 versus versus IN 10_1101-2021_01_06_425544 301 5 frequency frequency NN 10_1101-2021_01_06_425544 301 6 for for IN 10_1101-2021_01_06_425544 301 7 . . . 10_1101-2021_01_06_425544 302 1 new new JJ 10_1101-2021_01_06_425544 302 2 infections infection NNS 10_1101-2021_01_06_425544 302 3 per per IN 10_1101-2021_01_06_425544 302 4 10,000 10,000 CD 10_1101-2021_01_06_425544 302 5 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 302 6 per per IN 10_1101-2021_01_06_425544 302 7 day day NN 10_1101-2021_01_06_425544 302 8 in in IN 10_1101-2021_01_06_425544 302 9 each each DT 10_1101-2021_01_06_425544 302 10 of of IN 10_1101-2021_01_06_425544 302 11 9 9 CD 10_1101-2021_01_06_425544 302 12 countries country NNS 10_1101-2021_01_06_425544 302 13 . . . 10_1101-2021_01_06_425544 303 1 C C NNP 10_1101-2021_01_06_425544 303 2 ) ) -RRB- 10_1101-2021_01_06_425544 303 3 Normalized Normalized NNP 10_1101-2021_01_06_425544 303 4 Power Power NNP 10_1101-2021_01_06_425544 303 5 Spectrum Spectrum NNP 10_1101-2021_01_06_425544 303 6 . . . 10_1101-2021_01_06_425544 304 1 Spectral spectral JJ 10_1101-2021_01_06_425544 304 2 density density NN 10_1101-2021_01_06_425544 304 3 ( ( -LRB- 10_1101-2021_01_06_425544 304 4 y y NNP 10_1101-2021_01_06_425544 304 5 - - HYPH 10_1101-2021_01_06_425544 304 6 axis axis NNP 10_1101-2021_01_06_425544 304 7 ) ) -RRB- 10_1101-2021_01_06_425544 304 8 versus versus IN 10_1101-2021_01_06_425544 304 9 period period NN 10_1101-2021_01_06_425544 304 10 ( ( -LRB- 10_1101-2021_01_06_425544 304 11 in in IN 10_1101-2021_01_06_425544 304 12 days day NNS 10_1101-2021_01_06_425544 304 13 ) ) -RRB- 10_1101-2021_01_06_425544 304 14 for for IN 10_1101-2021_01_06_425544 304 15 infection infection NN 10_1101-2021_01_06_425544 304 16 rates rate NNS 10_1101-2021_01_06_425544 304 17 per per IN 10_1101-2021_01_06_425544 304 18 10,000 10,000 CD 10_1101-2021_01_06_425544 304 19 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 304 20 ( ( -LRB- 10_1101-2021_01_06_425544 304 21 x x NN 10_1101-2021_01_06_425544 304 22 - - : 10_1101-2021_01_06_425544 304 23 axis axis NNP 10_1101-2021_01_06_425544 304 24 ) ) -RRB- 10_1101-2021_01_06_425544 304 25 . . . 10_1101-2021_01_06_425544 305 1 The the DT 10_1101-2021_01_06_425544 305 2 curve curve NN 10_1101-2021_01_06_425544 305 3 shows show VBZ 10_1101-2021_01_06_425544 305 4 the the DT 10_1101-2021_01_06_425544 305 5 smoothed smoothed JJ 10_1101-2021_01_06_425544 305 6 spectral spectral JJ 10_1101-2021_01_06_425544 305 7 density density NN 10_1101-2021_01_06_425544 305 8 estimates estimate NNS 10_1101-2021_01_06_425544 305 9 . . . 10_1101-2021_01_06_425544 306 1 All all DT 10_1101-2021_01_06_425544 306 2 y y NNS 10_1101-2021_01_06_425544 306 3 - - HYPH 10_1101-2021_01_06_425544 306 4 axes axis NNS 10_1101-2021_01_06_425544 306 5 have have VBP 10_1101-2021_01_06_425544 306 6 the the DT 10_1101-2021_01_06_425544 306 7 same same JJ 10_1101-2021_01_06_425544 306 8 scale scale NN 10_1101-2021_01_06_425544 306 9 . . . 10_1101-2021_01_06_425544 307 1 Figure figure NN 10_1101-2021_01_06_425544 307 2 4 4 CD 10_1101-2021_01_06_425544 307 3 : : : 10_1101-2021_01_06_425544 307 4 Time time NN 10_1101-2021_01_06_425544 307 5 - - HYPH 10_1101-2021_01_06_425544 307 6 Lagged Lagged NNP 10_1101-2021_01_06_425544 307 7 Data Data NNP 10_1101-2021_01_06_425544 307 8 Analysis Analysis NNP 10_1101-2021_01_06_425544 307 9 . . . 10_1101-2021_01_06_425544 308 1 A a LS 10_1101-2021_01_06_425544 308 2 ) ) -RRB- 10_1101-2021_01_06_425544 308 3 Bivariate Bivariate NNP 10_1101-2021_01_06_425544 308 4 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 308 5 Analysis analysis NN 10_1101-2021_01_06_425544 308 6 . . . 10_1101-2021_01_06_425544 309 1 Shown show VBN 10_1101-2021_01_06_425544 309 2 are be VBP 10_1101-2021_01_06_425544 309 3 cross- cross- JJ 10_1101-2021_01_06_425544 309 4 wavelet wavelet NN 10_1101-2021_01_06_425544 309 5 power power NN 10_1101-2021_01_06_425544 309 6 plot plot NN 10_1101-2021_01_06_425544 309 7 , , , 10_1101-2021_01_06_425544 309 8 wavelet wavelet NN 10_1101-2021_01_06_425544 309 9 coherence coherence NN 10_1101-2021_01_06_425544 309 10 plot plot NN 10_1101-2021_01_06_425544 309 11 , , , 10_1101-2021_01_06_425544 309 12 average average JJ 10_1101-2021_01_06_425544 309 13 power power NN 10_1101-2021_01_06_425544 309 14 plot plot NN 10_1101-2021_01_06_425544 309 15 and and CC 10_1101-2021_01_06_425544 309 16 phase phase NN 10_1101-2021_01_06_425544 309 17 difference difference NN 10_1101-2021_01_06_425544 309 18 image image NN 10_1101-2021_01_06_425544 309 19 ( ( -LRB- 10_1101-2021_01_06_425544 309 20 from from IN 10_1101-2021_01_06_425544 309 21 left leave VBN 10_1101-2021_01_06_425544 309 22 to to IN 10_1101-2021_01_06_425544 309 23 right right NN 10_1101-2021_01_06_425544 309 24 in in IN 10_1101-2021_01_06_425544 309 25 each each DT 10_1101-2021_01_06_425544 309 26 row row NN 10_1101-2021_01_06_425544 309 27 ) ) -RRB- 10_1101-2021_01_06_425544 309 28 Time time NN 10_1101-2021_01_06_425544 309 29 - - HYPH 10_1101-2021_01_06_425544 309 30 lagged lag VBN 10_1101-2021_01_06_425544 309 31 data datum NNS 10_1101-2021_01_06_425544 309 32 were be VBD 10_1101-2021_01_06_425544 309 33 used use VBN 10_1101-2021_01_06_425544 309 34 for for IN 10_1101-2021_01_06_425544 309 35 x(t)/x(t+14 x(t)/x(t+14 NNP 10_1101-2021_01_06_425544 309 36 ) ) -RRB- 10_1101-2021_01_06_425544 309 37 ( ( -LRB- 10_1101-2021_01_06_425544 309 38 for for IN 10_1101-2021_01_06_425544 309 39 the the DT 10_1101-2021_01_06_425544 309 40 lags lag NNS 10_1101-2021_01_06_425544 309 41 x(t)/x(t+7 x(t)/x(t+7 NNP 10_1101-2021_01_06_425544 309 42 ) ) -RRB- 10_1101-2021_01_06_425544 309 43 and and CC 10_1101-2021_01_06_425544 309 44 x(t)/x(t21 x(t)/x(t21 . 10_1101-2021_01_06_425544 309 45 ) ) -RRB- 10_1101-2021_01_06_425544 309 46 see see VBP 10_1101-2021_01_06_425544 309 47 Figure Figure NNP 10_1101-2021_01_06_425544 309 48 S2 S2 NNP 10_1101-2021_01_06_425544 309 49 ) ) -RRB- 10_1101-2021_01_06_425544 309 50 . . . 10_1101-2021_01_06_425544 310 1 White white JJ 10_1101-2021_01_06_425544 310 2 contour contour NN 10_1101-2021_01_06_425544 310 3 lines line NNS 10_1101-2021_01_06_425544 310 4 indicate indicate VBP 10_1101-2021_01_06_425544 310 5 significance significance NN 10_1101-2021_01_06_425544 310 6 for for IN 10_1101-2021_01_06_425544 310 7 joint joint JJ 10_1101-2021_01_06_425544 310 8 periodicity periodicity NN 10_1101-2021_01_06_425544 310 9 , , , 10_1101-2021_01_06_425544 310 10 black black JJ 10_1101-2021_01_06_425544 310 11 arrows arrow NNS 10_1101-2021_01_06_425544 310 12 depict depict VBP 10_1101-2021_01_06_425544 310 13 the the DT 10_1101-2021_01_06_425544 310 14 phase phase NN 10_1101-2021_01_06_425544 310 15 difference difference NN 10_1101-2021_01_06_425544 310 16 in in IN 10_1101-2021_01_06_425544 310 17 the the DT 10_1101-2021_01_06_425544 310 18 areas area NNS 10_1101-2021_01_06_425544 310 19 with with IN 10_1101-2021_01_06_425544 310 20 significant significant JJ 10_1101-2021_01_06_425544 310 21 joint joint JJ 10_1101-2021_01_06_425544 310 22 periods period NNS 10_1101-2021_01_06_425544 310 23 . . . 10_1101-2021_01_06_425544 311 1 The the DT 10_1101-2021_01_06_425544 311 2 solid solid JJ 10_1101-2021_01_06_425544 311 3 red red JJ 10_1101-2021_01_06_425544 311 4 dots dot NNS 10_1101-2021_01_06_425544 311 5 on on IN 10_1101-2021_01_06_425544 311 6 the the DT 10_1101-2021_01_06_425544 311 7 average average JJ 10_1101-2021_01_06_425544 311 8 power power NN 10_1101-2021_01_06_425544 311 9 plot plot NN 10_1101-2021_01_06_425544 311 10 ( ( -LRB- 10_1101-2021_01_06_425544 311 11 the the DT 10_1101-2021_01_06_425544 311 12 third third JJ 10_1101-2021_01_06_425544 311 13 from from IN 10_1101-2021_01_06_425544 311 14 the the DT 10_1101-2021_01_06_425544 311 15 left left NN 10_1101-2021_01_06_425544 311 16 ) ) -RRB- 10_1101-2021_01_06_425544 311 17 depict depict VB 10_1101-2021_01_06_425544 311 18 significant significant JJ 10_1101-2021_01_06_425544 311 19 joint joint JJ 10_1101-2021_01_06_425544 311 20 periods period NNS 10_1101-2021_01_06_425544 311 21 at at IN 10_1101-2021_01_06_425544 311 22 a a DT 10_1101-2021_01_06_425544 311 23 probability probability NN 10_1101-2021_01_06_425544 311 24 of of IN 10_1101-2021_01_06_425544 311 25 error error NN 10_1101-2021_01_06_425544 311 26 of of IN 10_1101-2021_01_06_425544 311 27 0.1 0.1 CD 10_1101-2021_01_06_425544 311 28 . . . 10_1101-2021_01_06_425544 312 1 Where where WRB 10_1101-2021_01_06_425544 312 2 shown show VBN 10_1101-2021_01_06_425544 312 3 , , , 10_1101-2021_01_06_425544 312 4 the the DT 10_1101-2021_01_06_425544 312 5 color color NN 10_1101-2021_01_06_425544 312 6 bars bar NNS 10_1101-2021_01_06_425544 312 7 reveal reveal VBP 10_1101-2021_01_06_425544 312 8 the the DT 10_1101-2021_01_06_425544 312 9 ranges range NNS 10_1101-2021_01_06_425544 312 10 of of IN 10_1101-2021_01_06_425544 312 11 cross cross JJ 10_1101-2021_01_06_425544 312 12 - - JJ 10_1101-2021_01_06_425544 312 13 wavelet wavelet JJ 10_1101-2021_01_06_425544 312 14 power power NN 10_1101-2021_01_06_425544 312 15 levels level NNS 10_1101-2021_01_06_425544 312 16 . . . 10_1101-2021_01_06_425544 313 1 B b NN 10_1101-2021_01_06_425544 313 2 ) ) -RRB- 10_1101-2021_01_06_425544 313 3 Return Return NNP 10_1101-2021_01_06_425544 313 4 Plots plot NNS 10_1101-2021_01_06_425544 313 5 in in IN 10_1101-2021_01_06_425544 313 6 3 3 CD 10_1101-2021_01_06_425544 313 7 Dimensions dimension NNS 10_1101-2021_01_06_425544 313 8 . . . 10_1101-2021_01_06_425544 314 1 Time time NN 10_1101-2021_01_06_425544 314 2 - - HYPH 10_1101-2021_01_06_425544 314 3 lagged lag VBN 10_1101-2021_01_06_425544 314 4 return return NN 10_1101-2021_01_06_425544 314 5 plots plot NNS 10_1101-2021_01_06_425544 314 6 in in IN 10_1101-2021_01_06_425544 314 7 3 3 CD 10_1101-2021_01_06_425544 314 8 dimensions dimension NNS 10_1101-2021_01_06_425544 314 9 are be VBP 10_1101-2021_01_06_425544 314 10 shown show VBN 10_1101-2021_01_06_425544 314 11 , , , 10_1101-2021_01_06_425544 314 12 from from IN 10_1101-2021_01_06_425544 314 13 left leave VBN 10_1101-2021_01_06_425544 314 14 to to IN 10_1101-2021_01_06_425544 314 15 right right NN 10_1101-2021_01_06_425544 314 16 , , , 10_1101-2021_01_06_425544 314 17 for for IN 10_1101-2021_01_06_425544 314 18 x(t)/x(t+7)/x(t+14 x(t)/x(t+7)/x(t+14 NNP 10_1101-2021_01_06_425544 314 19 ) ) -RRB- 10_1101-2021_01_06_425544 314 20 , , , 10_1101-2021_01_06_425544 314 21 x(t+3)/x(t+7)/x(t+14 x(t+3)/x(t+7)/x(t+14 NNP 10_1101-2021_01_06_425544 314 22 ) ) -RRB- 10_1101-2021_01_06_425544 314 23 , , , 10_1101-2021_01_06_425544 314 24 and and CC 10_1101-2021_01_06_425544 314 25 x(t+5)/x(t+14)/x(t+28 x(t+5)/x(t+14)/x(t+28 NNP 10_1101-2021_01_06_425544 314 26 ) ) -RRB- 10_1101-2021_01_06_425544 314 27 . . . 10_1101-2021_01_06_425544 315 1 Each each DT 10_1101-2021_01_06_425544 315 2 country country NN 10_1101-2021_01_06_425544 315 3 of of IN 10_1101-2021_01_06_425544 315 4 interest interest NN 10_1101-2021_01_06_425544 315 5 has have VBZ 10_1101-2021_01_06_425544 315 6 its -PRON- PRP$ 10_1101-2021_01_06_425544 315 7 own own JJ 10_1101-2021_01_06_425544 315 8 row row NN 10_1101-2021_01_06_425544 315 9 . . . 10_1101-2021_01_06_425544 316 1 C C NNP 10_1101-2021_01_06_425544 316 2 ) ) -RRB- 10_1101-2021_01_06_425544 316 3 Embedding Embedding NNP 10_1101-2021_01_06_425544 316 4 Dimension Dimension NNP 10_1101-2021_01_06_425544 316 5 . . . 10_1101-2021_01_06_425544 317 1 The the DT 10_1101-2021_01_06_425544 317 2 plots plot NNS 10_1101-2021_01_06_425544 317 3 show show VBP 10_1101-2021_01_06_425544 317 4 how how WRB 10_1101-2021_01_06_425544 317 5 Cao Cao NNP 10_1101-2021_01_06_425544 317 6 ’s ’ VBZ 10_1101-2021_01_06_425544 317 7 algorithm algorithm NNP 10_1101-2021_01_06_425544 317 8 uses use VBZ 10_1101-2021_01_06_425544 317 9 2 2 CD 10_1101-2021_01_06_425544 317 10 functions function NNS 10_1101-2021_01_06_425544 317 11 in in IN 10_1101-2021_01_06_425544 317 12 order order NN 10_1101-2021_01_06_425544 317 13 to to TO 10_1101-2021_01_06_425544 317 14 estimate estimate VB 10_1101-2021_01_06_425544 317 15 the the DT 10_1101-2021_01_06_425544 317 16 embedding embedding NN 10_1101-2021_01_06_425544 317 17 dimension dimension NN 10_1101-2021_01_06_425544 317 18 from from IN 10_1101-2021_01_06_425544 317 19 the the DT 10_1101-2021_01_06_425544 317 20 time time NN 10_1101-2021_01_06_425544 317 21 series series NNP 10_1101-2021_01_06_425544 317 22 ( ( -LRB- 10_1101-2021_01_06_425544 317 23 the the DT 10_1101-2021_01_06_425544 317 24 E1(d E1(d NNP 10_1101-2021_01_06_425544 317 25 ) ) -RRB- 10_1101-2021_01_06_425544 317 26 and and CC 10_1101-2021_01_06_425544 317 27 E2(d E2(d NNP 10_1101-2021_01_06_425544 317 28 ) ) -RRB- 10_1101-2021_01_06_425544 317 29 functions function NNS 10_1101-2021_01_06_425544 317 30 ) ) -RRB- 10_1101-2021_01_06_425544 317 31 , , , 10_1101-2021_01_06_425544 317 32 where where WRB 10_1101-2021_01_06_425544 317 33 d d NNP 10_1101-2021_01_06_425544 317 34 denotes denote VBZ 10_1101-2021_01_06_425544 317 35 the the DT 10_1101-2021_01_06_425544 317 36 dimension dimension NN 10_1101-2021_01_06_425544 317 37 . . . 10_1101-2021_01_06_425544 318 1 Figure figure NN 10_1101-2021_01_06_425544 318 2 5 5 CD 10_1101-2021_01_06_425544 318 3 : : : 10_1101-2021_01_06_425544 318 4 Readouts readout NNS 10_1101-2021_01_06_425544 318 5 of of IN 10_1101-2021_01_06_425544 318 6 Complexity complexity NN 10_1101-2021_01_06_425544 318 7 for for IN 10_1101-2021_01_06_425544 318 8 Lagged Lagged NNP 10_1101-2021_01_06_425544 318 9 Data Data NNP 10_1101-2021_01_06_425544 318 10 on on IN 10_1101-2021_01_06_425544 318 11 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 318 12 Spread Spread VBN 10_1101-2021_01_06_425544 318 13 by by IN 10_1101-2021_01_06_425544 318 14 Country country NN 10_1101-2021_01_06_425544 318 15 . . . 10_1101-2021_01_06_425544 319 1 A a LS 10_1101-2021_01_06_425544 319 2 ) ) -RRB- 10_1101-2021_01_06_425544 319 3 Autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 319 4 . . . 10_1101-2021_01_06_425544 320 1 Bar bar VB 10_1101-2021_01_06_425544 320 2 graph graph NN 10_1101-2021_01_06_425544 320 3 of of IN 10_1101-2021_01_06_425544 320 4 the the DT 10_1101-2021_01_06_425544 320 5 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 320 6 in in IN 10_1101-2021_01_06_425544 320 7 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 320 8 spread spread NN 10_1101-2021_01_06_425544 320 9 with with IN 10_1101-2021_01_06_425544 320 10 each each DT 10_1101-2021_01_06_425544 320 11 bar bar NN 10_1101-2021_01_06_425544 320 12 color color NN 10_1101-2021_01_06_425544 320 13 .CC .CC NFP 10_1101-2021_01_06_425544 320 14 - - : 10_1101-2021_01_06_425544 320 15 BY by IN 10_1101-2021_01_06_425544 320 16 4.0 4.0 CD 10_1101-2021_01_06_425544 320 17 International International NNP 10_1101-2021_01_06_425544 320 18 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 320 19 under under IN 10_1101-2021_01_06_425544 320 20 a a DT 10_1101-2021_01_06_425544 320 21 ( ( -LRB- 10_1101-2021_01_06_425544 320 22 which which WDT 10_1101-2021_01_06_425544 320 23 was be VBD 10_1101-2021_01_06_425544 320 24 not not RB 10_1101-2021_01_06_425544 320 25 certified certify VBN 10_1101-2021_01_06_425544 320 26 by by IN 10_1101-2021_01_06_425544 320 27 peer peer NN 10_1101-2021_01_06_425544 320 28 review review NN 10_1101-2021_01_06_425544 320 29 ) ) -RRB- 10_1101-2021_01_06_425544 320 30 is be VBZ 10_1101-2021_01_06_425544 320 31 the the DT 10_1101-2021_01_06_425544 320 32 author author NN 10_1101-2021_01_06_425544 320 33 / / SYM 10_1101-2021_01_06_425544 320 34 funder funder NN 10_1101-2021_01_06_425544 320 35 , , , 10_1101-2021_01_06_425544 320 36 who who WP 10_1101-2021_01_06_425544 320 37 has have VBZ 10_1101-2021_01_06_425544 320 38 granted grant VBN 10_1101-2021_01_06_425544 320 39 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 320 40 a a DT 10_1101-2021_01_06_425544 320 41 license license NN 10_1101-2021_01_06_425544 320 42 to to TO 10_1101-2021_01_06_425544 320 43 display display VB 10_1101-2021_01_06_425544 320 44 the the DT 10_1101-2021_01_06_425544 320 45 preprint preprint NN 10_1101-2021_01_06_425544 320 46 in in IN 10_1101-2021_01_06_425544 320 47 perpetuity perpetuity NN 10_1101-2021_01_06_425544 320 48 . . . 10_1101-2021_01_06_425544 321 1 It -PRON- PRP 10_1101-2021_01_06_425544 321 2 is be VBZ 10_1101-2021_01_06_425544 321 3 made make VBN 10_1101-2021_01_06_425544 321 4 The the DT 10_1101-2021_01_06_425544 321 5 copyright copyright NN 10_1101-2021_01_06_425544 321 6 holder holder NN 10_1101-2021_01_06_425544 321 7 for for IN 10_1101-2021_01_06_425544 321 8 this this DT 10_1101-2021_01_06_425544 321 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 321 10 version version NN 10_1101-2021_01_06_425544 321 11 posted post VBD 10_1101-2021_01_06_425544 321 12 January January NNP 10_1101-2021_01_06_425544 321 13 6 6 CD 10_1101-2021_01_06_425544 321 14 , , , 10_1101-2021_01_06_425544 321 15 2021 2021 CD 10_1101-2021_01_06_425544 321 16 . . . 10_1101-2021_01_06_425544 321 17 ; ; : 10_1101-2021_01_06_425544 321 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 321 19 : : : 10_1101-2021_01_06_425544 321 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 321 21 preprint preprint NN 10_1101-2021_01_06_425544 321 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 321 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ -LRB- 10_1101-2021_01_06_425544 321 24 representing represent VBG 10_1101-2021_01_06_425544 321 25 a a DT 10_1101-2021_01_06_425544 321 26 different different JJ 10_1101-2021_01_06_425544 321 27 country country NN 10_1101-2021_01_06_425544 321 28 . . . 10_1101-2021_01_06_425544 322 1 The the DT 10_1101-2021_01_06_425544 322 2 selected select VBN 10_1101-2021_01_06_425544 322 3 time time NN 10_1101-2021_01_06_425544 322 4 lags lag NNS 10_1101-2021_01_06_425544 322 5 are be VBP 10_1101-2021_01_06_425544 322 6 indicated indicate VBN 10_1101-2021_01_06_425544 322 7 on on IN 10_1101-2021_01_06_425544 322 8 the the DT 10_1101-2021_01_06_425544 322 9 x x NN 10_1101-2021_01_06_425544 322 10 - - : 10_1101-2021_01_06_425544 322 11 axis axis NN 10_1101-2021_01_06_425544 322 12 , , , 10_1101-2021_01_06_425544 322 13 all all DT 10_1101-2021_01_06_425544 322 14 are be VBP 10_1101-2021_01_06_425544 322 15 calculated calculate VBN 10_1101-2021_01_06_425544 322 16 versus versus IN 10_1101-2021_01_06_425544 322 17 x(t x(t NNP 10_1101-2021_01_06_425544 322 18 ) ) -RRB- 10_1101-2021_01_06_425544 322 19 . . . 10_1101-2021_01_06_425544 323 1 B b NN 10_1101-2021_01_06_425544 323 2 ) ) -RRB- 10_1101-2021_01_06_425544 323 3 Average average JJ 10_1101-2021_01_06_425544 323 4 Mutual mutual JJ 10_1101-2021_01_06_425544 323 5 Information information NN 10_1101-2021_01_06_425544 323 6 . . . 10_1101-2021_01_06_425544 324 1 Bar bar VB 10_1101-2021_01_06_425544 324 2 graph graph NN 10_1101-2021_01_06_425544 324 3 of of IN 10_1101-2021_01_06_425544 324 4 average average JJ 10_1101-2021_01_06_425544 324 5 mutual mutual JJ 10_1101-2021_01_06_425544 324 6 information information NN 10_1101-2021_01_06_425544 324 7 in in IN 10_1101-2021_01_06_425544 324 8 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 324 9 spread spread NN 10_1101-2021_01_06_425544 324 10 with with IN 10_1101-2021_01_06_425544 324 11 each each DT 10_1101-2021_01_06_425544 324 12 bar bar NN 10_1101-2021_01_06_425544 324 13 color color NN 10_1101-2021_01_06_425544 324 14 representing represent VBG 10_1101-2021_01_06_425544 324 15 a a DT 10_1101-2021_01_06_425544 324 16 different different JJ 10_1101-2021_01_06_425544 324 17 country country NN 10_1101-2021_01_06_425544 324 18 . . . 10_1101-2021_01_06_425544 325 1 The the DT 10_1101-2021_01_06_425544 325 2 selected select VBN 10_1101-2021_01_06_425544 325 3 time time NN 10_1101-2021_01_06_425544 325 4 lags lag NNS 10_1101-2021_01_06_425544 325 5 as as IN 10_1101-2021_01_06_425544 325 6 indicated indicate VBN 10_1101-2021_01_06_425544 325 7 on on IN 10_1101-2021_01_06_425544 325 8 the the DT 10_1101-2021_01_06_425544 325 9 x x NN 10_1101-2021_01_06_425544 325 10 - - : 10_1101-2021_01_06_425544 325 11 axis axi NNS 10_1101-2021_01_06_425544 325 12 are be VBP 10_1101-2021_01_06_425544 325 13 all all DT 10_1101-2021_01_06_425544 325 14 calculated calculate VBN 10_1101-2021_01_06_425544 325 15 versus versus IN 10_1101-2021_01_06_425544 325 16 x(t x(t NNP 10_1101-2021_01_06_425544 325 17 ) ) -RRB- 10_1101-2021_01_06_425544 325 18 . . . 10_1101-2021_01_06_425544 326 1 C C NNP 10_1101-2021_01_06_425544 326 2 ) ) -RRB- 10_1101-2021_01_06_425544 326 3 Fractal Fractal NNP 10_1101-2021_01_06_425544 326 4 Dimensions Dimensions NNPS 10_1101-2021_01_06_425544 326 5 . . . 10_1101-2021_01_06_425544 327 1 Box Box NNP 10_1101-2021_01_06_425544 327 2 counting count VBG 10_1101-2021_01_06_425544 327 3 dimensions dimension NNS 10_1101-2021_01_06_425544 327 4 are be VBP 10_1101-2021_01_06_425544 327 5 calculated calculate VBN 10_1101-2021_01_06_425544 327 6 for for IN 10_1101-2021_01_06_425544 327 7 2-dimensional 2-dimensional CD 10_1101-2021_01_06_425544 327 8 return return NN 10_1101-2021_01_06_425544 327 9 plots plot NNS 10_1101-2021_01_06_425544 327 10 of of IN 10_1101-2021_01_06_425544 327 11 increasing increase VBG 10_1101-2021_01_06_425544 327 12 lags lag NNS 10_1101-2021_01_06_425544 327 13 , , , 10_1101-2021_01_06_425544 327 14 x(t+7 x(t+7 NNP 10_1101-2021_01_06_425544 327 15 ) ) -RRB- 10_1101-2021_01_06_425544 327 16 versus versus IN 10_1101-2021_01_06_425544 327 17 x(t x(t NNP 10_1101-2021_01_06_425544 327 18 ) ) -RRB- 10_1101-2021_01_06_425544 327 19 through through IN 10_1101-2021_01_06_425544 327 20 x(t+35 x(t+35 NNP 10_1101-2021_01_06_425544 327 21 ) ) -RRB- 10_1101-2021_01_06_425544 327 22 versus versus IN 10_1101-2021_01_06_425544 327 23 x(t x(t NNP 10_1101-2021_01_06_425544 327 24 ) ) -RRB- 10_1101-2021_01_06_425544 327 25 . . . 10_1101-2021_01_06_425544 328 1 9 9 CD 10_1101-2021_01_06_425544 328 2 countries country NNS 10_1101-2021_01_06_425544 328 3 are be VBP 10_1101-2021_01_06_425544 328 4 evaluated evaluate VBN 10_1101-2021_01_06_425544 328 5 , , , 10_1101-2021_01_06_425544 328 6 and and CC 10_1101-2021_01_06_425544 328 7 the the DT 10_1101-2021_01_06_425544 328 8 worldwide worldwide JJ 10_1101-2021_01_06_425544 328 9 numbers number NNS 10_1101-2021_01_06_425544 328 10 are be VBP 10_1101-2021_01_06_425544 328 11 shown show VBN 10_1101-2021_01_06_425544 328 12 on on IN 10_1101-2021_01_06_425544 328 13 the the DT 10_1101-2021_01_06_425544 328 14 left left NN 10_1101-2021_01_06_425544 328 15 . . . 10_1101-2021_01_06_425544 329 1 Poland Poland NNP 10_1101-2021_01_06_425544 329 2 is be VBZ 10_1101-2021_01_06_425544 329 3 represented represent VBN 10_1101-2021_01_06_425544 329 4 twice twice RB 10_1101-2021_01_06_425544 329 5 , , , 10_1101-2021_01_06_425544 329 6 over over IN 10_1101-2021_01_06_425544 329 7 the the DT 10_1101-2021_01_06_425544 329 8 entire entire JJ 10_1101-2021_01_06_425544 329 9 evaluation evaluation NN 10_1101-2021_01_06_425544 329 10 period period NN 10_1101-2021_01_06_425544 329 11 through through IN 10_1101-2021_01_06_425544 329 12 12 12 CD 10_1101-2021_01_06_425544 329 13 October October NNP 10_1101-2021_01_06_425544 329 14 2020 2020 CD 10_1101-2021_01_06_425544 329 15 ( ( -LRB- 10_1101-2021_01_06_425544 329 16 which which WDT 10_1101-2021_01_06_425544 329 17 contains contain VBZ 10_1101-2021_01_06_425544 329 18 a a DT 10_1101-2021_01_06_425544 329 19 steep steep JJ 10_1101-2021_01_06_425544 329 20 incline incline NN 10_1101-2021_01_06_425544 329 21 ) ) -RRB- 10_1101-2021_01_06_425544 329 22 and and CC 10_1101-2021_01_06_425544 329 23 over over IN 10_1101-2021_01_06_425544 329 24 the the DT 10_1101-2021_01_06_425544 329 25 shorter short JJR 10_1101-2021_01_06_425544 329 26 phase phase NN 10_1101-2021_01_06_425544 329 27 of of IN 10_1101-2021_01_06_425544 329 28 containment containment NN 10_1101-2021_01_06_425544 329 29 through through IN 10_1101-2021_01_06_425544 329 30 18 18 CD 10_1101-2021_01_06_425544 329 31 September September NNP 10_1101-2021_01_06_425544 329 32 2020 2020 CD 10_1101-2021_01_06_425544 329 33 ( ( -LRB- 10_1101-2021_01_06_425544 329 34 cont cont NN 10_1101-2021_01_06_425544 329 35 . . . 10_1101-2021_01_06_425544 330 1 = = NFP 10_1101-2021_01_06_425544 330 2 contained contain VBN 10_1101-2021_01_06_425544 330 3 period period NN 10_1101-2021_01_06_425544 330 4 ) ) -RRB- 10_1101-2021_01_06_425544 330 5 . . . 10_1101-2021_01_06_425544 331 1 Figure figure NN 10_1101-2021_01_06_425544 331 2 6 6 CD 10_1101-2021_01_06_425544 331 3 : : : 10_1101-2021_01_06_425544 331 4 Time time NN 10_1101-2021_01_06_425544 331 5 - - HYPH 10_1101-2021_01_06_425544 331 6 Course course NN 10_1101-2021_01_06_425544 331 7 of of IN 10_1101-2021_01_06_425544 331 8 Disease Disease NNP 10_1101-2021_01_06_425544 331 9 Spread Spread NNP 10_1101-2021_01_06_425544 331 10 for for IN 10_1101-2021_01_06_425544 331 11 Individual Individual NNP 10_1101-2021_01_06_425544 331 12 US US NNP 10_1101-2021_01_06_425544 331 13 States States NNP 10_1101-2021_01_06_425544 331 14 . . . 10_1101-2021_01_06_425544 332 1 Numbers number NNS 10_1101-2021_01_06_425544 332 2 of of IN 10_1101-2021_01_06_425544 332 3 new new JJ 10_1101-2021_01_06_425544 332 4 cases case NNS 10_1101-2021_01_06_425544 332 5 , , , 10_1101-2021_01_06_425544 332 6 x(t x(t NNP 10_1101-2021_01_06_425544 332 7 ) ) -RRB- 10_1101-2021_01_06_425544 332 8 , , , 10_1101-2021_01_06_425544 332 9 per per IN 10_1101-2021_01_06_425544 332 10 day day NN 10_1101-2021_01_06_425544 332 11 versus versus IN 10_1101-2021_01_06_425544 332 12 time time NN 10_1101-2021_01_06_425544 332 13 ( ( -LRB- 10_1101-2021_01_06_425544 332 14 t t NNP 10_1101-2021_01_06_425544 332 15 , , , 10_1101-2021_01_06_425544 332 16 indicating indicate VBG 10_1101-2021_01_06_425544 332 17 the the DT 10_1101-2021_01_06_425544 332 18 date date NN 10_1101-2021_01_06_425544 332 19 ) ) -RRB- 10_1101-2021_01_06_425544 332 20 . . . 10_1101-2021_01_06_425544 333 1 Shown show VBN 10_1101-2021_01_06_425544 333 2 are be VBP 10_1101-2021_01_06_425544 333 3 the the DT 10_1101-2021_01_06_425544 333 4 curves curve NNS 10_1101-2021_01_06_425544 333 5 for for IN 10_1101-2021_01_06_425544 333 6 ( ( -LRB- 10_1101-2021_01_06_425544 333 7 top top NN 10_1101-2021_01_06_425544 333 8 to to IN 10_1101-2021_01_06_425544 333 9 bottom bottom NN 10_1101-2021_01_06_425544 333 10 , , , 10_1101-2021_01_06_425544 333 11 left leave VBN 10_1101-2021_01_06_425544 333 12 to to IN 10_1101-2021_01_06_425544 333 13 right right JJ 10_1101-2021_01_06_425544 333 14 ) ) -RRB- 10_1101-2021_01_06_425544 333 15 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 333 16 , , , 10_1101-2021_01_06_425544 333 17 New New NNP 10_1101-2021_01_06_425544 333 18 York York NNP 10_1101-2021_01_06_425544 333 19 , , , 10_1101-2021_01_06_425544 333 20 Florida Florida NNP 10_1101-2021_01_06_425544 333 21 , , , 10_1101-2021_01_06_425544 333 22 Texas Texas NNP 10_1101-2021_01_06_425544 333 23 , , , 10_1101-2021_01_06_425544 333 24 California California NNP 10_1101-2021_01_06_425544 333 25 , , , 10_1101-2021_01_06_425544 333 26 and and CC 10_1101-2021_01_06_425544 333 27 Ohio Ohio NNP 10_1101-2021_01_06_425544 333 28 . . . 10_1101-2021_01_06_425544 334 1 Figure figure NN 10_1101-2021_01_06_425544 334 2 7 7 CD 10_1101-2021_01_06_425544 334 3 : : : 10_1101-2021_01_06_425544 334 4 Univariate Univariate NNP 10_1101-2021_01_06_425544 334 5 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 334 6 Analysis Analysis NNP 10_1101-2021_01_06_425544 334 7 . . . 10_1101-2021_01_06_425544 335 1 Wavelet wavelet JJ 10_1101-2021_01_06_425544 335 2 power power NN 10_1101-2021_01_06_425544 335 3 spectrum spectrum NN 10_1101-2021_01_06_425544 335 4 in in IN 10_1101-2021_01_06_425544 335 5 the the DT 10_1101-2021_01_06_425544 335 6 time time NN 10_1101-2021_01_06_425544 335 7 - - HYPH 10_1101-2021_01_06_425544 335 8 period period NN 10_1101-2021_01_06_425544 335 9 domain domain NN 10_1101-2021_01_06_425544 335 10 . . . 10_1101-2021_01_06_425544 336 1 Contour contour NN 10_1101-2021_01_06_425544 336 2 lines line NNS 10_1101-2021_01_06_425544 336 3 indicate indicate VBP 10_1101-2021_01_06_425544 336 4 significance significance NN 10_1101-2021_01_06_425544 336 5 of of IN 10_1101-2021_01_06_425544 336 6 periodicity periodicity NN 10_1101-2021_01_06_425544 336 7 with with IN 10_1101-2021_01_06_425544 336 8 0.1 0.1 CD 10_1101-2021_01_06_425544 336 9 significance significance NN 10_1101-2021_01_06_425544 336 10 level level NN 10_1101-2021_01_06_425544 336 11 . . . 10_1101-2021_01_06_425544 337 1 Black black JJ 10_1101-2021_01_06_425544 337 2 lines line NNS 10_1101-2021_01_06_425544 337 3 indicate indicate VBP 10_1101-2021_01_06_425544 337 4 the the DT 10_1101-2021_01_06_425544 337 5 ridge ridge NN 10_1101-2021_01_06_425544 337 6 of of IN 10_1101-2021_01_06_425544 337 7 wavelet wavelet NN 10_1101-2021_01_06_425544 337 8 power power NN 10_1101-2021_01_06_425544 337 9 . . . 10_1101-2021_01_06_425544 338 1 The the DT 10_1101-2021_01_06_425544 338 2 color color NN 10_1101-2021_01_06_425544 338 3 bar bar NN 10_1101-2021_01_06_425544 338 4 reveals reveal VBZ 10_1101-2021_01_06_425544 338 5 the the DT 10_1101-2021_01_06_425544 338 6 power power NN 10_1101-2021_01_06_425544 338 7 gradient gradient NN 10_1101-2021_01_06_425544 338 8 . . . 10_1101-2021_01_06_425544 339 1 A a LS 10_1101-2021_01_06_425544 339 2 ) ) -RRB- 10_1101-2021_01_06_425544 339 3 All all DT 10_1101-2021_01_06_425544 339 4 states state NNS 10_1101-2021_01_06_425544 339 5 on on IN 10_1101-2021_01_06_425544 339 6 the the DT 10_1101-2021_01_06_425544 339 7 same same JJ 10_1101-2021_01_06_425544 339 8 scale scale NN 10_1101-2021_01_06_425544 339 9 . . . 10_1101-2021_01_06_425544 340 1 B b NN 10_1101-2021_01_06_425544 340 2 ) ) -RRB- 10_1101-2021_01_06_425544 340 3 Each each DT 10_1101-2021_01_06_425544 340 4 state state NN 10_1101-2021_01_06_425544 340 5 on on IN 10_1101-2021_01_06_425544 340 6 its -PRON- PRP$ 10_1101-2021_01_06_425544 340 7 own own JJ 10_1101-2021_01_06_425544 340 8 scale scale NN 10_1101-2021_01_06_425544 340 9 . . . 10_1101-2021_01_06_425544 341 1 Figure figure NN 10_1101-2021_01_06_425544 341 2 8 8 CD 10_1101-2021_01_06_425544 341 3 : : : 10_1101-2021_01_06_425544 341 4 Fourier Fourier NNP 10_1101-2021_01_06_425544 341 5 Analysis Analysis NNP 10_1101-2021_01_06_425544 341 6 . . . 10_1101-2021_01_06_425544 342 1 A a LS 10_1101-2021_01_06_425544 342 2 ) ) -RRB- 10_1101-2021_01_06_425544 342 3 New new JJ 10_1101-2021_01_06_425544 342 4 infection infection NN 10_1101-2021_01_06_425544 342 5 Rates rate NNS 10_1101-2021_01_06_425544 342 6 . . . 10_1101-2021_01_06_425544 343 1 Daily Daily NNP 10_1101-2021_01_06_425544 343 2 reported report VBD 10_1101-2021_01_06_425544 343 3 new new JJ 10_1101-2021_01_06_425544 343 4 numbers number NNS 10_1101-2021_01_06_425544 343 5 of of IN 10_1101-2021_01_06_425544 343 6 infections infection NNS 10_1101-2021_01_06_425544 343 7 divided divide VBN 10_1101-2021_01_06_425544 343 8 by by IN 10_1101-2021_01_06_425544 343 9 10,000 10,000 CD 10_1101-2021_01_06_425544 343 10 inhabitants inhabitant NNS 10_1101-2021_01_06_425544 343 11 ( ( -LRB- 10_1101-2021_01_06_425544 343 12 infection infection NN 10_1101-2021_01_06_425544 343 13 rates rate NNS 10_1101-2021_01_06_425544 343 14 ) ) -RRB- 10_1101-2021_01_06_425544 343 15 . . . 10_1101-2021_01_06_425544 344 1 The the DT 10_1101-2021_01_06_425544 344 2 x x NN 10_1101-2021_01_06_425544 344 3 - - : 10_1101-2021_01_06_425544 344 4 axis axis RB 10_1101-2021_01_06_425544 344 5 shows show VBZ 10_1101-2021_01_06_425544 344 6 the the DT 10_1101-2021_01_06_425544 344 7 calendar calendar NN 10_1101-2021_01_06_425544 344 8 date date NN 10_1101-2021_01_06_425544 344 9 . . . 10_1101-2021_01_06_425544 345 1 B B NNP 10_1101-2021_01_06_425544 345 2 ) ) -RRB- 10_1101-2021_01_06_425544 345 3 Power Power NNP 10_1101-2021_01_06_425544 345 4 Spectrum Spectrum NNP 10_1101-2021_01_06_425544 345 5 . . . 10_1101-2021_01_06_425544 346 1 Periodogram Periodogram NNP 10_1101-2021_01_06_425544 346 2 plot plot NN 10_1101-2021_01_06_425544 346 3 on on IN 10_1101-2021_01_06_425544 346 4 the the DT 10_1101-2021_01_06_425544 346 5 series series NN 10_1101-2021_01_06_425544 346 6 of of IN 10_1101-2021_01_06_425544 346 7 the the DT 10_1101-2021_01_06_425544 346 8 new new JJ 10_1101-2021_01_06_425544 346 9 infection infection NN 10_1101-2021_01_06_425544 346 10 rates rate NNS 10_1101-2021_01_06_425544 346 11 . . . 10_1101-2021_01_06_425544 347 1 The the DT 10_1101-2021_01_06_425544 347 2 x x NN 10_1101-2021_01_06_425544 347 3 - - : 10_1101-2021_01_06_425544 347 4 axis axis RB 10_1101-2021_01_06_425544 347 5 is be VBZ 10_1101-2021_01_06_425544 347 6 the the DT 10_1101-2021_01_06_425544 347 7 frequency frequency NN 10_1101-2021_01_06_425544 347 8 ( ( -LRB- 10_1101-2021_01_06_425544 347 9 per per IN 10_1101-2021_01_06_425544 347 10 day day NN 10_1101-2021_01_06_425544 347 11 ) ) -RRB- 10_1101-2021_01_06_425544 347 12 and and CC 10_1101-2021_01_06_425544 347 13 the the DT 10_1101-2021_01_06_425544 347 14 y y NN 10_1101-2021_01_06_425544 347 15 - - HYPH 10_1101-2021_01_06_425544 347 16 axis axis NNP 10_1101-2021_01_06_425544 347 17 represents represent VBZ 10_1101-2021_01_06_425544 347 18 the the DT 10_1101-2021_01_06_425544 347 19 spectral spectral JJ 10_1101-2021_01_06_425544 347 20 density density NN 10_1101-2021_01_06_425544 347 21 . . . 10_1101-2021_01_06_425544 348 1 The the DT 10_1101-2021_01_06_425544 348 2 y y NN 10_1101-2021_01_06_425544 348 3 - - HYPH 10_1101-2021_01_06_425544 348 4 axis axis NNP 10_1101-2021_01_06_425544 348 5 ranges range VBZ 10_1101-2021_01_06_425544 348 6 vary vary VBP 10_1101-2021_01_06_425544 348 7 among among IN 10_1101-2021_01_06_425544 348 8 graphs graphs NN 10_1101-2021_01_06_425544 348 9 . . . 10_1101-2021_01_06_425544 349 1 C C NNP 10_1101-2021_01_06_425544 349 2 ) ) -RRB- 10_1101-2021_01_06_425544 349 3 Normalized Normalized NNP 10_1101-2021_01_06_425544 349 4 Power Power NNP 10_1101-2021_01_06_425544 349 5 Spectrum Spectrum NNP 10_1101-2021_01_06_425544 349 6 . . . 10_1101-2021_01_06_425544 350 1 Spectral spectral JJ 10_1101-2021_01_06_425544 350 2 density density NN 10_1101-2021_01_06_425544 350 3 versus versus IN 10_1101-2021_01_06_425544 350 4 period period NN 10_1101-2021_01_06_425544 350 5 ( ( -LRB- 10_1101-2021_01_06_425544 350 6 in in IN 10_1101-2021_01_06_425544 350 7 days day NNS 10_1101-2021_01_06_425544 350 8 ) ) -RRB- 10_1101-2021_01_06_425544 350 9 for for IN 10_1101-2021_01_06_425544 350 10 infection infection NN 10_1101-2021_01_06_425544 350 11 rates rate NNS 10_1101-2021_01_06_425544 350 12 . . . 10_1101-2021_01_06_425544 351 1 All all DT 10_1101-2021_01_06_425544 351 2 y y NNS 10_1101-2021_01_06_425544 351 3 - - HYPH 10_1101-2021_01_06_425544 351 4 axes axis NNS 10_1101-2021_01_06_425544 351 5 have have VBP 10_1101-2021_01_06_425544 351 6 the the DT 10_1101-2021_01_06_425544 351 7 same same JJ 10_1101-2021_01_06_425544 351 8 scale scale NN 10_1101-2021_01_06_425544 351 9 . . . 10_1101-2021_01_06_425544 352 1 Figure figure NN 10_1101-2021_01_06_425544 352 2 9 9 CD 10_1101-2021_01_06_425544 352 3 : : : 10_1101-2021_01_06_425544 352 4 Time time NN 10_1101-2021_01_06_425544 352 5 - - HYPH 10_1101-2021_01_06_425544 352 6 Lagged Lagged NNP 10_1101-2021_01_06_425544 352 7 Data Data NNP 10_1101-2021_01_06_425544 352 8 Analysis Analysis NNP 10_1101-2021_01_06_425544 352 9 by by IN 10_1101-2021_01_06_425544 352 10 US US NNP 10_1101-2021_01_06_425544 352 11 State State NNP 10_1101-2021_01_06_425544 352 12 . . . 10_1101-2021_01_06_425544 353 1 A a LS 10_1101-2021_01_06_425544 353 2 ) ) -RRB- 10_1101-2021_01_06_425544 353 3 Bivariate Bivariate NNP 10_1101-2021_01_06_425544 353 4 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 353 5 Analysis analysis NN 10_1101-2021_01_06_425544 353 6 . . . 10_1101-2021_01_06_425544 354 1 Shown Shown NNP 10_1101-2021_01_06_425544 354 2 are be VBP 10_1101-2021_01_06_425544 354 3 cross cross JJ 10_1101-2021_01_06_425544 354 4 - - JJ 10_1101-2021_01_06_425544 354 5 wavelet wavelet JJ 10_1101-2021_01_06_425544 354 6 power power NN 10_1101-2021_01_06_425544 354 7 plot plot NN 10_1101-2021_01_06_425544 354 8 , , , 10_1101-2021_01_06_425544 354 9 wavelet wavelet NN 10_1101-2021_01_06_425544 354 10 coherence coherence NN 10_1101-2021_01_06_425544 354 11 plot plot NN 10_1101-2021_01_06_425544 354 12 , , , 10_1101-2021_01_06_425544 354 13 average average JJ 10_1101-2021_01_06_425544 354 14 power power NN 10_1101-2021_01_06_425544 354 15 plot plot NN 10_1101-2021_01_06_425544 354 16 and and CC 10_1101-2021_01_06_425544 354 17 phase phase NN 10_1101-2021_01_06_425544 354 18 difference difference NN 10_1101-2021_01_06_425544 354 19 image image NN 10_1101-2021_01_06_425544 354 20 ( ( -LRB- 10_1101-2021_01_06_425544 354 21 from from IN 10_1101-2021_01_06_425544 354 22 left leave VBN 10_1101-2021_01_06_425544 354 23 to to IN 10_1101-2021_01_06_425544 354 24 right right NN 10_1101-2021_01_06_425544 354 25 on on IN 10_1101-2021_01_06_425544 354 26 each each DT 10_1101-2021_01_06_425544 354 27 row row NN 10_1101-2021_01_06_425544 354 28 ) ) -RRB- 10_1101-2021_01_06_425544 354 29 Time time NN 10_1101-2021_01_06_425544 354 30 - - HYPH 10_1101-2021_01_06_425544 354 31 lagged lag VBN 10_1101-2021_01_06_425544 354 32 data datum NNS 10_1101-2021_01_06_425544 354 33 were be VBD 10_1101-2021_01_06_425544 354 34 used use VBN 10_1101-2021_01_06_425544 354 35 for for IN 10_1101-2021_01_06_425544 354 36 x(t)/x(t+14 x(t)/x(t+14 NNP 10_1101-2021_01_06_425544 354 37 ) ) -RRB- 10_1101-2021_01_06_425544 354 38 ( ( -LRB- 10_1101-2021_01_06_425544 354 39 for for IN 10_1101-2021_01_06_425544 354 40 the the DT 10_1101-2021_01_06_425544 354 41 lags lag NNS 10_1101-2021_01_06_425544 354 42 x(t)/x(t+7 x(t)/x(t+7 NNP 10_1101-2021_01_06_425544 354 43 ) ) -RRB- 10_1101-2021_01_06_425544 354 44 and and CC 10_1101-2021_01_06_425544 354 45 x(t)/x(t21 x(t)/x(t21 . 10_1101-2021_01_06_425544 354 46 ) ) -RRB- 10_1101-2021_01_06_425544 354 47 see see VBP 10_1101-2021_01_06_425544 354 48 Figure Figure NNP 10_1101-2021_01_06_425544 354 49 S4 S4 NNP 10_1101-2021_01_06_425544 354 50 ) ) -RRB- 10_1101-2021_01_06_425544 354 51 . . . 10_1101-2021_01_06_425544 355 1 White White NNP 10_1101-2021_01_06_425544 355 2 the the DT 10_1101-2021_01_06_425544 355 3 contour contour NN 10_1101-2021_01_06_425544 355 4 lines line NNS 10_1101-2021_01_06_425544 355 5 indicate indicate VBP 10_1101-2021_01_06_425544 355 6 significance significance NN 10_1101-2021_01_06_425544 355 7 of of IN 10_1101-2021_01_06_425544 355 8 joint joint JJ 10_1101-2021_01_06_425544 355 9 periodicity periodicity NN 10_1101-2021_01_06_425544 355 10 , , , 10_1101-2021_01_06_425544 355 11 black black JJ 10_1101-2021_01_06_425544 355 12 arrows arrow NNS 10_1101-2021_01_06_425544 355 13 indicate indicate VBP 10_1101-2021_01_06_425544 355 14 the the DT 10_1101-2021_01_06_425544 355 15 phase phase NN 10_1101-2021_01_06_425544 355 16 difference difference NN 10_1101-2021_01_06_425544 355 17 in in IN 10_1101-2021_01_06_425544 355 18 the the DT 10_1101-2021_01_06_425544 355 19 areas area NNS 10_1101-2021_01_06_425544 355 20 with with IN 10_1101-2021_01_06_425544 355 21 significant significant JJ 10_1101-2021_01_06_425544 355 22 joint joint JJ 10_1101-2021_01_06_425544 355 23 periods period NNS 10_1101-2021_01_06_425544 355 24 . . . 10_1101-2021_01_06_425544 356 1 The the DT 10_1101-2021_01_06_425544 356 2 solid solid JJ 10_1101-2021_01_06_425544 356 3 red red JJ 10_1101-2021_01_06_425544 356 4 dots dot NNS 10_1101-2021_01_06_425544 356 5 on on IN 10_1101-2021_01_06_425544 356 6 the the DT 10_1101-2021_01_06_425544 356 7 average average JJ 10_1101-2021_01_06_425544 356 8 power power NN 10_1101-2021_01_06_425544 356 9 plot plot NN 10_1101-2021_01_06_425544 356 10 ( ( -LRB- 10_1101-2021_01_06_425544 356 11 the the DT 10_1101-2021_01_06_425544 356 12 third third JJ 10_1101-2021_01_06_425544 356 13 from from IN 10_1101-2021_01_06_425544 356 14 the the DT 10_1101-2021_01_06_425544 356 15 left left NN 10_1101-2021_01_06_425544 356 16 ) ) -RRB- 10_1101-2021_01_06_425544 356 17 reflect reflect VBP 10_1101-2021_01_06_425544 356 18 significant significant JJ 10_1101-2021_01_06_425544 356 19 joint joint JJ 10_1101-2021_01_06_425544 356 20 periods period NNS 10_1101-2021_01_06_425544 356 21 at at IN 10_1101-2021_01_06_425544 356 22 a a DT 10_1101-2021_01_06_425544 356 23 significance significance NN 10_1101-2021_01_06_425544 356 24 level level NN 10_1101-2021_01_06_425544 356 25 of of IN 10_1101-2021_01_06_425544 356 26 0.1 0.1 CD 10_1101-2021_01_06_425544 356 27 . . . 10_1101-2021_01_06_425544 357 1 B b NN 10_1101-2021_01_06_425544 357 2 ) ) -RRB- 10_1101-2021_01_06_425544 357 3 Return Return NNP 10_1101-2021_01_06_425544 357 4 Plots plot NNS 10_1101-2021_01_06_425544 357 5 in in IN 10_1101-2021_01_06_425544 357 6 3 3 CD 10_1101-2021_01_06_425544 357 7 Dimensions dimension NNS 10_1101-2021_01_06_425544 357 8 . . . 10_1101-2021_01_06_425544 358 1 Time time NN 10_1101-2021_01_06_425544 358 2 - - HYPH 10_1101-2021_01_06_425544 358 3 lagged lag VBN 10_1101-2021_01_06_425544 358 4 return return NN 10_1101-2021_01_06_425544 358 5 plots plot NNS 10_1101-2021_01_06_425544 358 6 in in IN 10_1101-2021_01_06_425544 358 7 3 3 CD 10_1101-2021_01_06_425544 358 8 .CC .CC NFP 10_1101-2021_01_06_425544 358 9 - - : 10_1101-2021_01_06_425544 358 10 BY by IN 10_1101-2021_01_06_425544 358 11 4.0 4.0 CD 10_1101-2021_01_06_425544 358 12 International International NNP 10_1101-2021_01_06_425544 358 13 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 358 14 under under IN 10_1101-2021_01_06_425544 358 15 a a DT 10_1101-2021_01_06_425544 358 16 ( ( -LRB- 10_1101-2021_01_06_425544 358 17 which which WDT 10_1101-2021_01_06_425544 358 18 was be VBD 10_1101-2021_01_06_425544 358 19 not not RB 10_1101-2021_01_06_425544 358 20 certified certify VBN 10_1101-2021_01_06_425544 358 21 by by IN 10_1101-2021_01_06_425544 358 22 peer peer NN 10_1101-2021_01_06_425544 358 23 review review NN 10_1101-2021_01_06_425544 358 24 ) ) -RRB- 10_1101-2021_01_06_425544 358 25 is be VBZ 10_1101-2021_01_06_425544 358 26 the the DT 10_1101-2021_01_06_425544 358 27 author author NN 10_1101-2021_01_06_425544 358 28 / / SYM 10_1101-2021_01_06_425544 358 29 funder funder NN 10_1101-2021_01_06_425544 358 30 , , , 10_1101-2021_01_06_425544 358 31 who who WP 10_1101-2021_01_06_425544 358 32 has have VBZ 10_1101-2021_01_06_425544 358 33 granted grant VBN 10_1101-2021_01_06_425544 358 34 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 358 35 a a DT 10_1101-2021_01_06_425544 358 36 license license NN 10_1101-2021_01_06_425544 358 37 to to TO 10_1101-2021_01_06_425544 358 38 display display VB 10_1101-2021_01_06_425544 358 39 the the DT 10_1101-2021_01_06_425544 358 40 preprint preprint NN 10_1101-2021_01_06_425544 358 41 in in IN 10_1101-2021_01_06_425544 358 42 perpetuity perpetuity NN 10_1101-2021_01_06_425544 358 43 . . . 10_1101-2021_01_06_425544 359 1 It -PRON- PRP 10_1101-2021_01_06_425544 359 2 is be VBZ 10_1101-2021_01_06_425544 359 3 made make VBN 10_1101-2021_01_06_425544 359 4 The the DT 10_1101-2021_01_06_425544 359 5 copyright copyright NN 10_1101-2021_01_06_425544 359 6 holder holder NN 10_1101-2021_01_06_425544 359 7 for for IN 10_1101-2021_01_06_425544 359 8 this this DT 10_1101-2021_01_06_425544 359 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 359 10 version version NN 10_1101-2021_01_06_425544 359 11 posted post VBD 10_1101-2021_01_06_425544 359 12 January January NNP 10_1101-2021_01_06_425544 359 13 6 6 CD 10_1101-2021_01_06_425544 359 14 , , , 10_1101-2021_01_06_425544 359 15 2021 2021 CD 10_1101-2021_01_06_425544 359 16 . . . 10_1101-2021_01_06_425544 359 17 ; ; : 10_1101-2021_01_06_425544 359 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 359 19 : : : 10_1101-2021_01_06_425544 359 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 359 21 preprint preprint NN 10_1101-2021_01_06_425544 359 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 359 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ -LRB- 10_1101-2021_01_06_425544 359 24 dimensions dimension NNS 10_1101-2021_01_06_425544 359 25 are be VBP 10_1101-2021_01_06_425544 359 26 shown show VBN 10_1101-2021_01_06_425544 359 27 , , , 10_1101-2021_01_06_425544 359 28 from from IN 10_1101-2021_01_06_425544 359 29 left leave VBN 10_1101-2021_01_06_425544 359 30 to to IN 10_1101-2021_01_06_425544 359 31 right right NN 10_1101-2021_01_06_425544 359 32 , , , 10_1101-2021_01_06_425544 359 33 for for IN 10_1101-2021_01_06_425544 359 34 x(t)/x(t+7)/x(t+14 x(t)/x(t+7)/x(t+14 NNP 10_1101-2021_01_06_425544 359 35 ) ) -RRB- 10_1101-2021_01_06_425544 359 36 , , , 10_1101-2021_01_06_425544 359 37 x(t+3)/x(t+7)/x(t+14 x(t+3)/x(t+7)/x(t+14 NNP 10_1101-2021_01_06_425544 359 38 ) ) -RRB- 10_1101-2021_01_06_425544 359 39 , , , 10_1101-2021_01_06_425544 359 40 and and CC 10_1101-2021_01_06_425544 359 41 x(t+5)/x(t+14)/x(t+28 x(t+5)/x(t+14)/x(t+28 NNP 10_1101-2021_01_06_425544 359 42 ) ) -RRB- 10_1101-2021_01_06_425544 359 43 . . . 10_1101-2021_01_06_425544 360 1 Each each DT 10_1101-2021_01_06_425544 360 2 state state NN 10_1101-2021_01_06_425544 360 3 under under IN 10_1101-2021_01_06_425544 360 4 investigation investigation NN 10_1101-2021_01_06_425544 360 5 has have VBZ 10_1101-2021_01_06_425544 360 6 its -PRON- PRP$ 10_1101-2021_01_06_425544 360 7 own own JJ 10_1101-2021_01_06_425544 360 8 row row NN 10_1101-2021_01_06_425544 360 9 . . . 10_1101-2021_01_06_425544 361 1 Figure figure NN 10_1101-2021_01_06_425544 361 2 10 10 CD 10_1101-2021_01_06_425544 361 3 : : : 10_1101-2021_01_06_425544 361 4 Readouts readout NNS 10_1101-2021_01_06_425544 361 5 of of IN 10_1101-2021_01_06_425544 361 6 Complexity complexity NN 10_1101-2021_01_06_425544 361 7 for for IN 10_1101-2021_01_06_425544 361 8 Time Time NNP 10_1101-2021_01_06_425544 361 9 - - HYPH 10_1101-2021_01_06_425544 361 10 Lagged lag VBN 10_1101-2021_01_06_425544 361 11 Data Data NNP 10_1101-2021_01_06_425544 361 12 by by IN 10_1101-2021_01_06_425544 361 13 U.S. U.S. NNP 10_1101-2021_01_06_425544 361 14 State State NNP 10_1101-2021_01_06_425544 361 15 . . . 10_1101-2021_01_06_425544 362 1 6 6 CD 10_1101-2021_01_06_425544 362 2 US US NNP 10_1101-2021_01_06_425544 362 3 states state NNS 10_1101-2021_01_06_425544 362 4 have have VBP 10_1101-2021_01_06_425544 362 5 been be VBN 10_1101-2021_01_06_425544 362 6 evaluated evaluate VBN 10_1101-2021_01_06_425544 362 7 . . . 10_1101-2021_01_06_425544 363 1 A a LS 10_1101-2021_01_06_425544 363 2 ) ) -RRB- 10_1101-2021_01_06_425544 363 3 Autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 363 4 . . . 10_1101-2021_01_06_425544 364 1 Bar bar VB 10_1101-2021_01_06_425544 364 2 graph graph NN 10_1101-2021_01_06_425544 364 3 of of IN 10_1101-2021_01_06_425544 364 4 the the DT 10_1101-2021_01_06_425544 364 5 autocorrelation autocorrelation NN 10_1101-2021_01_06_425544 364 6 in in IN 10_1101-2021_01_06_425544 364 7 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 364 8 spread spread NN 10_1101-2021_01_06_425544 364 9 with with IN 10_1101-2021_01_06_425544 364 10 each each DT 10_1101-2021_01_06_425544 364 11 bar bar NN 10_1101-2021_01_06_425544 364 12 color color NN 10_1101-2021_01_06_425544 364 13 representing represent VBG 10_1101-2021_01_06_425544 364 14 a a DT 10_1101-2021_01_06_425544 364 15 different different JJ 10_1101-2021_01_06_425544 364 16 US US NNP 10_1101-2021_01_06_425544 364 17 state state NN 10_1101-2021_01_06_425544 364 18 . . . 10_1101-2021_01_06_425544 365 1 The the DT 10_1101-2021_01_06_425544 365 2 selected select VBN 10_1101-2021_01_06_425544 365 3 time time NN 10_1101-2021_01_06_425544 365 4 lags lag NNS 10_1101-2021_01_06_425544 365 5 are be VBP 10_1101-2021_01_06_425544 365 6 indicated indicate VBN 10_1101-2021_01_06_425544 365 7 on on IN 10_1101-2021_01_06_425544 365 8 the the DT 10_1101-2021_01_06_425544 365 9 x- x- XX 10_1101-2021_01_06_425544 365 10 axis axis NNP 10_1101-2021_01_06_425544 365 11 , , , 10_1101-2021_01_06_425544 365 12 all all DT 10_1101-2021_01_06_425544 365 13 are be VBP 10_1101-2021_01_06_425544 365 14 calculated calculate VBN 10_1101-2021_01_06_425544 365 15 versus versus IN 10_1101-2021_01_06_425544 365 16 x(t x(t NNP 10_1101-2021_01_06_425544 365 17 ) ) -RRB- 10_1101-2021_01_06_425544 365 18 . . . 10_1101-2021_01_06_425544 366 1 B b NN 10_1101-2021_01_06_425544 366 2 ) ) -RRB- 10_1101-2021_01_06_425544 366 3 Average average JJ 10_1101-2021_01_06_425544 366 4 Mutual mutual JJ 10_1101-2021_01_06_425544 366 5 Information information NN 10_1101-2021_01_06_425544 366 6 . . . 10_1101-2021_01_06_425544 367 1 Bar bar VB 10_1101-2021_01_06_425544 367 2 graph graph NN 10_1101-2021_01_06_425544 367 3 of of IN 10_1101-2021_01_06_425544 367 4 average average JJ 10_1101-2021_01_06_425544 367 5 mutual mutual JJ 10_1101-2021_01_06_425544 367 6 information information NN 10_1101-2021_01_06_425544 367 7 in in IN 10_1101-2021_01_06_425544 367 8 COVID-19 COVID-19 , 10_1101-2021_01_06_425544 367 9 spread spread NN 10_1101-2021_01_06_425544 367 10 with with IN 10_1101-2021_01_06_425544 367 11 each each DT 10_1101-2021_01_06_425544 367 12 bar bar NN 10_1101-2021_01_06_425544 367 13 color color NN 10_1101-2021_01_06_425544 367 14 representing represent VBG 10_1101-2021_01_06_425544 367 15 a a DT 10_1101-2021_01_06_425544 367 16 different different JJ 10_1101-2021_01_06_425544 367 17 state state NN 10_1101-2021_01_06_425544 367 18 . . . 10_1101-2021_01_06_425544 368 1 The the DT 10_1101-2021_01_06_425544 368 2 selected select VBN 10_1101-2021_01_06_425544 368 3 time time NN 10_1101-2021_01_06_425544 368 4 lags lag NNS 10_1101-2021_01_06_425544 368 5 are be VBP 10_1101-2021_01_06_425544 368 6 indicated indicate VBN 10_1101-2021_01_06_425544 368 7 on on IN 10_1101-2021_01_06_425544 368 8 the the DT 10_1101-2021_01_06_425544 368 9 x x NN 10_1101-2021_01_06_425544 368 10 - - : 10_1101-2021_01_06_425544 368 11 axis axis NN 10_1101-2021_01_06_425544 368 12 , , , 10_1101-2021_01_06_425544 368 13 all all DT 10_1101-2021_01_06_425544 368 14 are be VBP 10_1101-2021_01_06_425544 368 15 calculated calculate VBN 10_1101-2021_01_06_425544 368 16 versus versus IN 10_1101-2021_01_06_425544 368 17 x(t x(t NNP 10_1101-2021_01_06_425544 368 18 ) ) -RRB- 10_1101-2021_01_06_425544 368 19 . . . 10_1101-2021_01_06_425544 369 1 C C NNP 10_1101-2021_01_06_425544 369 2 ) ) -RRB- 10_1101-2021_01_06_425544 369 3 Fractal Fractal NNP 10_1101-2021_01_06_425544 369 4 Dimensions Dimensions NNPS 10_1101-2021_01_06_425544 369 5 . . . 10_1101-2021_01_06_425544 370 1 Box Box NNP 10_1101-2021_01_06_425544 370 2 counting count VBG 10_1101-2021_01_06_425544 370 3 dimensions dimension NNS 10_1101-2021_01_06_425544 370 4 are be VBP 10_1101-2021_01_06_425544 370 5 calculated calculate VBN 10_1101-2021_01_06_425544 370 6 for for IN 10_1101-2021_01_06_425544 370 7 2-dimensional 2-dimensional CD 10_1101-2021_01_06_425544 370 8 return return NN 10_1101-2021_01_06_425544 370 9 plots plot NNS 10_1101-2021_01_06_425544 370 10 of of IN 10_1101-2021_01_06_425544 370 11 increasing increase VBG 10_1101-2021_01_06_425544 370 12 lags lag NNS 10_1101-2021_01_06_425544 370 13 , , , 10_1101-2021_01_06_425544 370 14 x(t+7 x(t+7 NNP 10_1101-2021_01_06_425544 370 15 ) ) -RRB- 10_1101-2021_01_06_425544 370 16 versus versus IN 10_1101-2021_01_06_425544 370 17 x(t x(t NNP 10_1101-2021_01_06_425544 370 18 ) ) -RRB- 10_1101-2021_01_06_425544 370 19 through through IN 10_1101-2021_01_06_425544 370 20 x(t+35 x(t+35 NNP 10_1101-2021_01_06_425544 370 21 ) ) -RRB- 10_1101-2021_01_06_425544 370 22 versus versus IN 10_1101-2021_01_06_425544 370 23 x(t x(t NNP 10_1101-2021_01_06_425544 370 24 ) ) -RRB- 10_1101-2021_01_06_425544 370 25 . . . 10_1101-2021_01_06_425544 371 1 Table table NN 10_1101-2021_01_06_425544 371 2 1 1 CD 10_1101-2021_01_06_425544 371 3 : : : 10_1101-2021_01_06_425544 371 4 Embedding embed VBG 10_1101-2021_01_06_425544 371 5 Dimension Dimension NNP 10_1101-2021_01_06_425544 371 6 for for IN 10_1101-2021_01_06_425544 371 7 Time Time NNP 10_1101-2021_01_06_425544 371 8 - - HYPH 10_1101-2021_01_06_425544 371 9 Lagged lag VBN 10_1101-2021_01_06_425544 371 10 Data Data NNP 10_1101-2021_01_06_425544 371 11 by by IN 10_1101-2021_01_06_425544 371 12 U.S. U.S. NNP 10_1101-2021_01_06_425544 371 13 State State NNP 10_1101-2021_01_06_425544 371 14 . . . 10_1101-2021_01_06_425544 372 1 Embedding embed VBG 10_1101-2021_01_06_425544 372 2 dimensions dimension NNS 10_1101-2021_01_06_425544 372 3 were be VBD 10_1101-2021_01_06_425544 372 4 calculated calculate VBN 10_1101-2021_01_06_425544 372 5 according accord VBG 10_1101-2021_01_06_425544 372 6 to to IN 10_1101-2021_01_06_425544 372 7 Cao Cao NNP 10_1101-2021_01_06_425544 372 8 ’s ’s POS 10_1101-2021_01_06_425544 372 9 algorithm algorithm NNP 10_1101-2021_01_06_425544 372 10 , , , 10_1101-2021_01_06_425544 372 11 which which WDT 10_1101-2021_01_06_425544 372 12 uses use VBZ 10_1101-2021_01_06_425544 372 13 2 2 CD 10_1101-2021_01_06_425544 372 14 functions function NNS 10_1101-2021_01_06_425544 372 15 in in IN 10_1101-2021_01_06_425544 372 16 order order NN 10_1101-2021_01_06_425544 372 17 to to TO 10_1101-2021_01_06_425544 372 18 estimate estimate VB 10_1101-2021_01_06_425544 372 19 the the DT 10_1101-2021_01_06_425544 372 20 embedding embedding NN 10_1101-2021_01_06_425544 372 21 dimension dimension NN 10_1101-2021_01_06_425544 372 22 from from IN 10_1101-2021_01_06_425544 372 23 the the DT 10_1101-2021_01_06_425544 372 24 time time NN 10_1101-2021_01_06_425544 372 25 series series NN 10_1101-2021_01_06_425544 372 26 . . . 10_1101-2021_01_06_425544 373 1 The the DT 10_1101-2021_01_06_425544 373 2 table table NN 10_1101-2021_01_06_425544 373 3 shows show VBZ 10_1101-2021_01_06_425544 373 4 the the DT 10_1101-2021_01_06_425544 373 5 calculated calculated JJ 10_1101-2021_01_06_425544 373 6 time time NN 10_1101-2021_01_06_425544 373 7 lags lag NNS 10_1101-2021_01_06_425544 373 8 and and CC 10_1101-2021_01_06_425544 373 9 embedding embed VBG 10_1101-2021_01_06_425544 373 10 dimensions dimension NNS 10_1101-2021_01_06_425544 373 11 for for IN 10_1101-2021_01_06_425544 373 12 each each DT 10_1101-2021_01_06_425544 373 13 U.S. U.S. NNP 10_1101-2021_01_06_425544 373 14 state state NN 10_1101-2021_01_06_425544 373 15 under under IN 10_1101-2021_01_06_425544 373 16 study study NN 10_1101-2021_01_06_425544 373 17 . . . 10_1101-2021_01_06_425544 374 1 .CC .CC NFP 10_1101-2021_01_06_425544 374 2 - - : 10_1101-2021_01_06_425544 374 3 BY by IN 10_1101-2021_01_06_425544 374 4 4.0 4.0 CD 10_1101-2021_01_06_425544 374 5 International International NNP 10_1101-2021_01_06_425544 374 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 374 7 under under IN 10_1101-2021_01_06_425544 374 8 a a DT 10_1101-2021_01_06_425544 374 9 ( ( -LRB- 10_1101-2021_01_06_425544 374 10 which which WDT 10_1101-2021_01_06_425544 374 11 was be VBD 10_1101-2021_01_06_425544 374 12 not not RB 10_1101-2021_01_06_425544 374 13 certified certify VBN 10_1101-2021_01_06_425544 374 14 by by IN 10_1101-2021_01_06_425544 374 15 peer peer NN 10_1101-2021_01_06_425544 374 16 review review NN 10_1101-2021_01_06_425544 374 17 ) ) -RRB- 10_1101-2021_01_06_425544 374 18 is be VBZ 10_1101-2021_01_06_425544 374 19 the the DT 10_1101-2021_01_06_425544 374 20 author author NN 10_1101-2021_01_06_425544 374 21 / / SYM 10_1101-2021_01_06_425544 374 22 funder funder NN 10_1101-2021_01_06_425544 374 23 , , , 10_1101-2021_01_06_425544 374 24 who who WP 10_1101-2021_01_06_425544 374 25 has have VBZ 10_1101-2021_01_06_425544 374 26 granted grant VBN 10_1101-2021_01_06_425544 374 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 374 28 a a DT 10_1101-2021_01_06_425544 374 29 license license NN 10_1101-2021_01_06_425544 374 30 to to TO 10_1101-2021_01_06_425544 374 31 display display VB 10_1101-2021_01_06_425544 374 32 the the DT 10_1101-2021_01_06_425544 374 33 preprint preprint NN 10_1101-2021_01_06_425544 374 34 in in IN 10_1101-2021_01_06_425544 374 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 374 36 . . . 10_1101-2021_01_06_425544 375 1 It -PRON- PRP 10_1101-2021_01_06_425544 375 2 is be VBZ 10_1101-2021_01_06_425544 375 3 made make VBN 10_1101-2021_01_06_425544 375 4 The the DT 10_1101-2021_01_06_425544 375 5 copyright copyright NN 10_1101-2021_01_06_425544 375 6 holder holder NN 10_1101-2021_01_06_425544 375 7 for for IN 10_1101-2021_01_06_425544 375 8 this this DT 10_1101-2021_01_06_425544 375 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 375 10 version version NN 10_1101-2021_01_06_425544 375 11 posted post VBD 10_1101-2021_01_06_425544 375 12 January January NNP 10_1101-2021_01_06_425544 375 13 6 6 CD 10_1101-2021_01_06_425544 375 14 , , , 10_1101-2021_01_06_425544 375 15 2021 2021 CD 10_1101-2021_01_06_425544 375 16 . . . 10_1101-2021_01_06_425544 375 17 ; ; : 10_1101-2021_01_06_425544 375 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 375 19 : : : 10_1101-2021_01_06_425544 375 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 375 21 preprint preprint NN 10_1101-2021_01_06_425544 375 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 375 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ -LRB- 10_1101-2021_01_06_425544 375 24 Supplement Supplement NNP 10_1101-2021_01_06_425544 375 25 Figure figure NN 10_1101-2021_01_06_425544 375 26 S1 s1 NN 10_1101-2021_01_06_425544 375 27 : : : 10_1101-2021_01_06_425544 375 28 Power Power NNP 10_1101-2021_01_06_425544 375 29 Spectrum Spectrum NNP 10_1101-2021_01_06_425544 375 30 and and CC 10_1101-2021_01_06_425544 375 31 Univariate Univariate NNP 10_1101-2021_01_06_425544 375 32 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 375 33 Analysis Analysis NNP 10_1101-2021_01_06_425544 375 34 for for IN 10_1101-2021_01_06_425544 375 35 Worldwide Worldwide NNP 10_1101-2021_01_06_425544 375 36 New New NNP 10_1101-2021_01_06_425544 375 37 Cases Cases NNPS 10_1101-2021_01_06_425544 375 38 . . . 10_1101-2021_01_06_425544 376 1 A a LS 10_1101-2021_01_06_425544 376 2 ) ) -RRB- 10_1101-2021_01_06_425544 376 3 Wavelet wavelet NN 10_1101-2021_01_06_425544 376 4 analysis analysis NN 10_1101-2021_01_06_425544 376 5 and and CC 10_1101-2021_01_06_425544 376 6 model model NN 10_1101-2021_01_06_425544 376 7 fit fit NNP 10_1101-2021_01_06_425544 376 8 ( ( -LRB- 10_1101-2021_01_06_425544 376 9 minimum minimum JJ 10_1101-2021_01_06_425544 376 10 power power NN 10_1101-2021_01_06_425544 376 11 level level NN 10_1101-2021_01_06_425544 376 12 : : : 10_1101-2021_01_06_425544 376 13 0 0 NFP 10_1101-2021_01_06_425544 376 14 , , , 10_1101-2021_01_06_425544 376 15 significance significance NN 10_1101-2021_01_06_425544 376 16 level level NN 10_1101-2021_01_06_425544 376 17 : : : 10_1101-2021_01_06_425544 376 18 0.05 0.05 CD 10_1101-2021_01_06_425544 376 19 , , , 10_1101-2021_01_06_425544 376 20 only only RB 10_1101-2021_01_06_425544 376 21 coi coi NN 10_1101-2021_01_06_425544 376 22 : : : 10_1101-2021_01_06_425544 376 23 false false JJ 10_1101-2021_01_06_425544 376 24 , , , 10_1101-2021_01_06_425544 376 25 only only RB 10_1101-2021_01_06_425544 376 26 ridge ridge NN 10_1101-2021_01_06_425544 376 27 : : : 10_1101-2021_01_06_425544 376 28 false false JJ 10_1101-2021_01_06_425544 376 29 ) ) -RRB- 10_1101-2021_01_06_425544 376 30 . . . 10_1101-2021_01_06_425544 377 1 B B NNP 10_1101-2021_01_06_425544 377 2 ) ) -RRB- 10_1101-2021_01_06_425544 377 3 Fourier Fourier NNP 10_1101-2021_01_06_425544 377 4 analysis analysis NN 10_1101-2021_01_06_425544 377 5 . . . 10_1101-2021_01_06_425544 378 1 Figure figure NN 10_1101-2021_01_06_425544 378 2 S2 s2 NN 10_1101-2021_01_06_425544 378 3 : : : 10_1101-2021_01_06_425544 378 4 Bivariate bivariate JJ 10_1101-2021_01_06_425544 378 5 Wavelet Wavelet NNP 10_1101-2021_01_06_425544 378 6 Analysis analysis NN 10_1101-2021_01_06_425544 378 7 by by IN 10_1101-2021_01_06_425544 378 8 Country country NN 10_1101-2021_01_06_425544 378 9 . . . 10_1101-2021_01_06_425544 379 1 The the DT 10_1101-2021_01_06_425544 379 2 graphs graphs JJ 10_1101-2021_01_06_425544 379 3 represent represent VBP 10_1101-2021_01_06_425544 379 4 cross cross JJ 10_1101-2021_01_06_425544 379 5 - - JJ 10_1101-2021_01_06_425544 379 6 wavelet wavelet JJ 10_1101-2021_01_06_425544 379 7 power power NN 10_1101-2021_01_06_425544 379 8 plot plot NN 10_1101-2021_01_06_425544 379 9 , , , 10_1101-2021_01_06_425544 379 10 wavelet wavelet NN 10_1101-2021_01_06_425544 379 11 coherence coherence NN 10_1101-2021_01_06_425544 379 12 plot plot NN 10_1101-2021_01_06_425544 379 13 , , , 10_1101-2021_01_06_425544 379 14 average average JJ 10_1101-2021_01_06_425544 379 15 power power NN 10_1101-2021_01_06_425544 379 16 plot plot NN 10_1101-2021_01_06_425544 379 17 and and CC 10_1101-2021_01_06_425544 379 18 phase phase NN 10_1101-2021_01_06_425544 379 19 difference difference NN 10_1101-2021_01_06_425544 379 20 image image NN 10_1101-2021_01_06_425544 379 21 ( ( -LRB- 10_1101-2021_01_06_425544 379 22 from from IN 10_1101-2021_01_06_425544 379 23 left leave VBN 10_1101-2021_01_06_425544 379 24 to to IN 10_1101-2021_01_06_425544 379 25 right right NN 10_1101-2021_01_06_425544 379 26 on on IN 10_1101-2021_01_06_425544 379 27 each each DT 10_1101-2021_01_06_425544 379 28 row row NN 10_1101-2021_01_06_425544 379 29 ) ) -RRB- 10_1101-2021_01_06_425544 379 30 Time time NN 10_1101-2021_01_06_425544 379 31 - - HYPH 10_1101-2021_01_06_425544 379 32 lagged lag VBN 10_1101-2021_01_06_425544 379 33 data datum NNS 10_1101-2021_01_06_425544 379 34 were be VBD 10_1101-2021_01_06_425544 379 35 used use VBN 10_1101-2021_01_06_425544 379 36 for for IN 10_1101-2021_01_06_425544 379 37 x(t)/x(t+7 x(t)/x(t+7 NNP 10_1101-2021_01_06_425544 379 38 ) ) -RRB- 10_1101-2021_01_06_425544 379 39 ( ( -LRB- 10_1101-2021_01_06_425544 379 40 A a NN 10_1101-2021_01_06_425544 379 41 ) ) -RRB- 10_1101-2021_01_06_425544 379 42 and and CC 10_1101-2021_01_06_425544 379 43 x(t)/x(t21 x(t)/x(t21 . 10_1101-2021_01_06_425544 379 44 ) ) -RRB- 10_1101-2021_01_06_425544 379 45 ( ( -LRB- 10_1101-2021_01_06_425544 379 46 B b NN 10_1101-2021_01_06_425544 379 47 ) ) -RRB- 10_1101-2021_01_06_425544 379 48 . . . 10_1101-2021_01_06_425544 380 1 White white JJ 10_1101-2021_01_06_425544 380 2 contour contour NN 10_1101-2021_01_06_425544 380 3 lines line NNS 10_1101-2021_01_06_425544 380 4 depict depict VBP 10_1101-2021_01_06_425544 380 5 joint joint JJ 10_1101-2021_01_06_425544 380 6 significance significance NN 10_1101-2021_01_06_425544 380 7 of of IN 10_1101-2021_01_06_425544 380 8 periodicity periodicity NN 10_1101-2021_01_06_425544 380 9 . . . 10_1101-2021_01_06_425544 381 1 Black black JJ 10_1101-2021_01_06_425544 381 2 arrows arrow NNS 10_1101-2021_01_06_425544 381 3 reflect reflect VBP 10_1101-2021_01_06_425544 381 4 the the DT 10_1101-2021_01_06_425544 381 5 phase phase NN 10_1101-2021_01_06_425544 381 6 difference difference NN 10_1101-2021_01_06_425544 381 7 in in IN 10_1101-2021_01_06_425544 381 8 the the DT 10_1101-2021_01_06_425544 381 9 areas area NNS 10_1101-2021_01_06_425544 381 10 with with IN 10_1101-2021_01_06_425544 381 11 significantly significantly RB 10_1101-2021_01_06_425544 381 12 joint joint JJ 10_1101-2021_01_06_425544 381 13 periods period NNS 10_1101-2021_01_06_425544 381 14 . . . 10_1101-2021_01_06_425544 382 1 The the DT 10_1101-2021_01_06_425544 382 2 solid solid JJ 10_1101-2021_01_06_425544 382 3 red red JJ 10_1101-2021_01_06_425544 382 4 dots dot NNS 10_1101-2021_01_06_425544 382 5 on on IN 10_1101-2021_01_06_425544 382 6 the the DT 10_1101-2021_01_06_425544 382 7 average average JJ 10_1101-2021_01_06_425544 382 8 power power NN 10_1101-2021_01_06_425544 382 9 plot plot NN 10_1101-2021_01_06_425544 382 10 ( ( -LRB- 10_1101-2021_01_06_425544 382 11 the the DT 10_1101-2021_01_06_425544 382 12 third third JJ 10_1101-2021_01_06_425544 382 13 from from IN 10_1101-2021_01_06_425544 382 14 the the DT 10_1101-2021_01_06_425544 382 15 left left NN 10_1101-2021_01_06_425544 382 16 ) ) -RRB- 10_1101-2021_01_06_425544 382 17 indicate indicate VBP 10_1101-2021_01_06_425544 382 18 significantly significantly RB 10_1101-2021_01_06_425544 382 19 joint joint JJ 10_1101-2021_01_06_425544 382 20 periods period NNS 10_1101-2021_01_06_425544 382 21 at at IN 10_1101-2021_01_06_425544 382 22 a a DT 10_1101-2021_01_06_425544 382 23 probability probability NN 10_1101-2021_01_06_425544 382 24 of of IN 10_1101-2021_01_06_425544 382 25 error error NN 10_1101-2021_01_06_425544 382 26 0.1 0.1 CD 10_1101-2021_01_06_425544 382 27 . . . 10_1101-2021_01_06_425544 383 1 The the DT 10_1101-2021_01_06_425544 383 2 color color NN 10_1101-2021_01_06_425544 383 3 bars bar NNS 10_1101-2021_01_06_425544 383 4 reveal reveal VBP 10_1101-2021_01_06_425544 383 5 the the DT 10_1101-2021_01_06_425544 383 6 cross- cross- JJ 10_1101-2021_01_06_425544 383 7 wavelet wavelet NN 10_1101-2021_01_06_425544 383 8 power power NN 10_1101-2021_01_06_425544 383 9 levels level NNS 10_1101-2021_01_06_425544 383 10 . . . 10_1101-2021_01_06_425544 384 1 Figure figure NN 10_1101-2021_01_06_425544 384 2 S3 s3 NN 10_1101-2021_01_06_425544 384 3 : : : 10_1101-2021_01_06_425544 384 4 Return Return NNP 10_1101-2021_01_06_425544 384 5 Plots Plots NNPS 10_1101-2021_01_06_425544 384 6 in in IN 10_1101-2021_01_06_425544 384 7 3 3 CD 10_1101-2021_01_06_425544 384 8 Dimensions Dimensions NNPS 10_1101-2021_01_06_425544 384 9 for for IN 10_1101-2021_01_06_425544 384 10 Poland Poland NNP 10_1101-2021_01_06_425544 384 11 . . . 10_1101-2021_01_06_425544 385 1 New new JJ 10_1101-2021_01_06_425544 385 2 infections infection NNS 10_1101-2021_01_06_425544 385 3 per per IN 10_1101-2021_01_06_425544 385 4 day day NN 10_1101-2021_01_06_425544 385 5 . . . 10_1101-2021_01_06_425544 386 1 Top Top NNP 10_1101-2021_01_06_425544 386 2 ) ) -RRB- 10_1101-2021_01_06_425544 386 3 Entire Entire NNP 10_1101-2021_01_06_425544 386 4 Observation Observation NNP 10_1101-2021_01_06_425544 386 5 Period Period NNP 10_1101-2021_01_06_425544 386 6 . . . 10_1101-2021_01_06_425544 387 1 10th 10th NNP 10_1101-2021_01_06_425544 387 2 March March NNP 10_1101-2021_01_06_425544 387 3 2020 2020 CD 10_1101-2021_01_06_425544 387 4 through through IN 10_1101-2021_01_06_425544 387 5 7th 7th JJ 10_1101-2021_01_06_425544 387 6 November November NNP 10_1101-2021_01_06_425544 387 7 2020 2020 CD 10_1101-2021_01_06_425544 387 8 . . . 10_1101-2021_01_06_425544 388 1 Middle Middle NNP 10_1101-2021_01_06_425544 388 2 ) ) -RRB- 10_1101-2021_01_06_425544 388 3 Contained Contained NNP 10_1101-2021_01_06_425544 388 4 Phase Phase NNP 10_1101-2021_01_06_425544 388 5 . . . 10_1101-2021_01_06_425544 389 1 Partial partial JJ 10_1101-2021_01_06_425544 389 2 time time NN 10_1101-2021_01_06_425544 389 3 frame frame NN 10_1101-2021_01_06_425544 389 4 through through IN 10_1101-2021_01_06_425544 389 5 18th 18th JJ 10_1101-2021_01_06_425544 389 6 September September NNP 10_1101-2021_01_06_425544 389 7 2020 2020 CD 10_1101-2021_01_06_425544 389 8 . . . 10_1101-2021_01_06_425544 390 1 Bottom bottom NN 10_1101-2021_01_06_425544 390 2 ) ) -RRB- 10_1101-2021_01_06_425544 390 3 Exacerbating Exacerbating NNP 10_1101-2021_01_06_425544 390 4 Phase Phase NNP 10_1101-2021_01_06_425544 390 5 . . . 10_1101-2021_01_06_425544 391 1 Partial partial JJ 10_1101-2021_01_06_425544 391 2 time time NN 10_1101-2021_01_06_425544 391 3 frame frame NN 10_1101-2021_01_06_425544 391 4 from from IN 10_1101-2021_01_06_425544 391 5 1st 1st JJ 10_1101-2021_01_06_425544 391 6 September September NNP 10_1101-2021_01_06_425544 391 7 2020 2020 CD 10_1101-2021_01_06_425544 391 8 . . . 10_1101-2021_01_06_425544 392 1 Figure figure NN 10_1101-2021_01_06_425544 392 2 S4 s4 NN 10_1101-2021_01_06_425544 392 3 : : : 10_1101-2021_01_06_425544 392 4 Bivariate bivariate JJ 10_1101-2021_01_06_425544 392 5 wavelet wavelet NN 10_1101-2021_01_06_425544 392 6 analysis analysis NN 10_1101-2021_01_06_425544 392 7 by by IN 10_1101-2021_01_06_425544 392 8 US US NNP 10_1101-2021_01_06_425544 392 9 state state NN 10_1101-2021_01_06_425544 392 10 . . . 10_1101-2021_01_06_425544 393 1 The the DT 10_1101-2021_01_06_425544 393 2 graphs graphs JJ 10_1101-2021_01_06_425544 393 3 display display NN 10_1101-2021_01_06_425544 393 4 cross cross JJ 10_1101-2021_01_06_425544 393 5 - - JJ 10_1101-2021_01_06_425544 393 6 wavelet wavelet JJ 10_1101-2021_01_06_425544 393 7 power power NN 10_1101-2021_01_06_425544 393 8 plot plot NN 10_1101-2021_01_06_425544 393 9 , , , 10_1101-2021_01_06_425544 393 10 wavelet wavelet NN 10_1101-2021_01_06_425544 393 11 coherence coherence NN 10_1101-2021_01_06_425544 393 12 plot plot NN 10_1101-2021_01_06_425544 393 13 , , , 10_1101-2021_01_06_425544 393 14 average average JJ 10_1101-2021_01_06_425544 393 15 power power NN 10_1101-2021_01_06_425544 393 16 plot plot NN 10_1101-2021_01_06_425544 393 17 and and CC 10_1101-2021_01_06_425544 393 18 phase phase NN 10_1101-2021_01_06_425544 393 19 difference difference NN 10_1101-2021_01_06_425544 393 20 image image NN 10_1101-2021_01_06_425544 393 21 ( ( -LRB- 10_1101-2021_01_06_425544 393 22 from from IN 10_1101-2021_01_06_425544 393 23 left leave VBN 10_1101-2021_01_06_425544 393 24 to to IN 10_1101-2021_01_06_425544 393 25 right right NN 10_1101-2021_01_06_425544 393 26 on on IN 10_1101-2021_01_06_425544 393 27 each each DT 10_1101-2021_01_06_425544 393 28 row row NN 10_1101-2021_01_06_425544 393 29 ) ) -RRB- 10_1101-2021_01_06_425544 393 30 Time time NN 10_1101-2021_01_06_425544 393 31 - - HYPH 10_1101-2021_01_06_425544 393 32 lagged lag VBN 10_1101-2021_01_06_425544 393 33 data datum NNS 10_1101-2021_01_06_425544 393 34 were be VBD 10_1101-2021_01_06_425544 393 35 used use VBN 10_1101-2021_01_06_425544 393 36 for for IN 10_1101-2021_01_06_425544 393 37 x(t)/x(t+7 x(t)/x(t+7 NNP 10_1101-2021_01_06_425544 393 38 ) ) -RRB- 10_1101-2021_01_06_425544 393 39 ( ( -LRB- 10_1101-2021_01_06_425544 393 40 A a NN 10_1101-2021_01_06_425544 393 41 ) ) -RRB- 10_1101-2021_01_06_425544 393 42 and and CC 10_1101-2021_01_06_425544 393 43 x(t)/x(t21 x(t)/x(t21 . 10_1101-2021_01_06_425544 393 44 ) ) -RRB- 10_1101-2021_01_06_425544 393 45 ( ( -LRB- 10_1101-2021_01_06_425544 393 46 B b NN 10_1101-2021_01_06_425544 393 47 ) ) -RRB- 10_1101-2021_01_06_425544 393 48 . . . 10_1101-2021_01_06_425544 394 1 White white JJ 10_1101-2021_01_06_425544 394 2 contour contour NN 10_1101-2021_01_06_425544 394 3 lines line NNS 10_1101-2021_01_06_425544 394 4 indicate indicate VBP 10_1101-2021_01_06_425544 394 5 significance significance NN 10_1101-2021_01_06_425544 394 6 of of IN 10_1101-2021_01_06_425544 394 7 joint joint JJ 10_1101-2021_01_06_425544 394 8 periodicity periodicity NN 10_1101-2021_01_06_425544 394 9 . . . 10_1101-2021_01_06_425544 395 1 Black black JJ 10_1101-2021_01_06_425544 395 2 arrows arrow NNS 10_1101-2021_01_06_425544 395 3 indicate indicate VBP 10_1101-2021_01_06_425544 395 4 the the DT 10_1101-2021_01_06_425544 395 5 phase phase NN 10_1101-2021_01_06_425544 395 6 difference difference NN 10_1101-2021_01_06_425544 395 7 in in IN 10_1101-2021_01_06_425544 395 8 the the DT 10_1101-2021_01_06_425544 395 9 areas area NNS 10_1101-2021_01_06_425544 395 10 with with IN 10_1101-2021_01_06_425544 395 11 significantly significantly RB 10_1101-2021_01_06_425544 395 12 joint joint JJ 10_1101-2021_01_06_425544 395 13 periods period NNS 10_1101-2021_01_06_425544 395 14 . . . 10_1101-2021_01_06_425544 396 1 The the DT 10_1101-2021_01_06_425544 396 2 solid solid JJ 10_1101-2021_01_06_425544 396 3 red red JJ 10_1101-2021_01_06_425544 396 4 dots dot NNS 10_1101-2021_01_06_425544 396 5 on on IN 10_1101-2021_01_06_425544 396 6 the the DT 10_1101-2021_01_06_425544 396 7 average average JJ 10_1101-2021_01_06_425544 396 8 power power NN 10_1101-2021_01_06_425544 396 9 plot plot NN 10_1101-2021_01_06_425544 396 10 ( ( -LRB- 10_1101-2021_01_06_425544 396 11 the the DT 10_1101-2021_01_06_425544 396 12 third third JJ 10_1101-2021_01_06_425544 396 13 from from IN 10_1101-2021_01_06_425544 396 14 the the DT 10_1101-2021_01_06_425544 396 15 left left NN 10_1101-2021_01_06_425544 396 16 ) ) -RRB- 10_1101-2021_01_06_425544 396 17 indicate indicate VBP 10_1101-2021_01_06_425544 396 18 significance significance NN 10_1101-2021_01_06_425544 396 19 at at IN 10_1101-2021_01_06_425544 396 20 a a DT 10_1101-2021_01_06_425544 396 21 level level NN 10_1101-2021_01_06_425544 396 22 of of IN 10_1101-2021_01_06_425544 396 23 0.1 0.1 CD 10_1101-2021_01_06_425544 396 24 . . . 10_1101-2021_01_06_425544 397 1 Figure figure NN 10_1101-2021_01_06_425544 397 2 S5 s5 NN 10_1101-2021_01_06_425544 397 3 : : : 10_1101-2021_01_06_425544 397 4 Evolution Evolution NNP 10_1101-2021_01_06_425544 397 5 of of IN 10_1101-2021_01_06_425544 397 6 Lyapunov Lyapunov NNP 10_1101-2021_01_06_425544 397 7 exponents exponent NNS 10_1101-2021_01_06_425544 397 8 over over IN 10_1101-2021_01_06_425544 397 9 time time NN 10_1101-2021_01_06_425544 397 10 . . . 10_1101-2021_01_06_425544 398 1 For for IN 10_1101-2021_01_06_425544 398 2 a a DT 10_1101-2021_01_06_425544 398 3 discrete discrete JJ 10_1101-2021_01_06_425544 398 4 mapping mapping NN 10_1101-2021_01_06_425544 398 5 x(t+1 x(t+1 NNP 10_1101-2021_01_06_425544 398 6 ) ) -RRB- 10_1101-2021_01_06_425544 398 7 = = NFP 10_1101-2021_01_06_425544 398 8 F(x(t F(x(t NNP 10_1101-2021_01_06_425544 398 9 ) ) -RRB- 10_1101-2021_01_06_425544 398 10 ) ) -RRB- 10_1101-2021_01_06_425544 398 11 we -PRON- PRP 10_1101-2021_01_06_425544 398 12 calculate calculate VBP 10_1101-2021_01_06_425544 398 13 the the DT 10_1101-2021_01_06_425544 398 14 local local JJ 10_1101-2021_01_06_425544 398 15 expansion expansion NN 10_1101-2021_01_06_425544 398 16 of of IN 10_1101-2021_01_06_425544 398 17 the the DT 10_1101-2021_01_06_425544 398 18 flow flow NN 10_1101-2021_01_06_425544 398 19 by by IN 10_1101-2021_01_06_425544 398 20 considering consider VBG 10_1101-2021_01_06_425544 398 21 the the DT 10_1101-2021_01_06_425544 398 22 difference difference NN 10_1101-2021_01_06_425544 398 23 of of IN 10_1101-2021_01_06_425544 398 24 2 2 CD 10_1101-2021_01_06_425544 398 25 trajectories trajectory NNS 10_1101-2021_01_06_425544 398 26 . . . 10_1101-2021_01_06_425544 399 1 The the DT 10_1101-2021_01_06_425544 399 2 Lyapunov Lyapunov NNP 10_1101-2021_01_06_425544 399 3 characteristic characteristic JJ 10_1101-2021_01_06_425544 399 4 exponent exponent NN 10_1101-2021_01_06_425544 399 5 can can MD 10_1101-2021_01_06_425544 399 6 be be VB 10_1101-2021_01_06_425544 399 7 approximated approximate VBN 10_1101-2021_01_06_425544 399 8 as as IN 10_1101-2021_01_06_425544 399 9 𝜆 𝜆 FW 10_1101-2021_01_06_425544 399 10 ≈ ≈ NNP 10_1101-2021_01_06_425544 399 11 ln ln NNP 10_1101-2021_01_06_425544 399 12 ( ( -LRB- 10_1101-2021_01_06_425544 399 13 |𝑥𝑛+1 |𝑥𝑛+1 NNP 10_1101-2021_01_06_425544 399 14 ― ― PRP$ 10_1101-2021_01_06_425544 399 15 𝑦𝑛+1|/|𝑥𝑛 𝑦𝑛+1|/|𝑥𝑛 ADD 10_1101-2021_01_06_425544 399 16 ― ― NNP 10_1101-2021_01_06_425544 399 17 𝑦𝑛| 𝑦𝑛| NNP 10_1101-2021_01_06_425544 399 18 ) ) -RRB- 10_1101-2021_01_06_425544 399 19 for for IN 10_1101-2021_01_06_425544 399 20 2 2 CD 10_1101-2021_01_06_425544 399 21 points point NNS 10_1101-2021_01_06_425544 399 22 xn xn NNP 10_1101-2021_01_06_425544 399 23 , , , 10_1101-2021_01_06_425544 399 24 yn yn NNP 10_1101-2021_01_06_425544 399 25 close close RB 10_1101-2021_01_06_425544 399 26 to to IN 10_1101-2021_01_06_425544 399 27 each each DT 10_1101-2021_01_06_425544 399 28 other other JJ 10_1101-2021_01_06_425544 399 29 on on IN 10_1101-2021_01_06_425544 399 30 the the DT 10_1101-2021_01_06_425544 399 31 trajectory trajectory CD 10_1101-2021_01_06_425544 399 32 [ [ -LRB- 10_1101-2021_01_06_425544 399 33 https://www.math.tamu.edu/~mpilant/math614/Matlab/Lyapunov/LorenzSpectrum.pdf https://www.math.tamu.edu/~mpilant/math614/Matlab/Lyapunov/LorenzSpectrum.pdf NNP 10_1101-2021_01_06_425544 399 34 ] ] -RRB- 10_1101-2021_01_06_425544 399 35 . . . 10_1101-2021_01_06_425544 400 1 The the DT 10_1101-2021_01_06_425544 400 2 changes change NNS 10_1101-2021_01_06_425544 400 3 of of IN 10_1101-2021_01_06_425544 400 4 Lyapunov Lyapunov NNP 10_1101-2021_01_06_425544 400 5 exponents exponent NNS 10_1101-2021_01_06_425544 400 6 are be VBP 10_1101-2021_01_06_425544 400 7 presented present VBN 10_1101-2021_01_06_425544 400 8 for for IN 10_1101-2021_01_06_425544 400 9 the the DT 10_1101-2021_01_06_425544 400 10 return return NN 10_1101-2021_01_06_425544 400 11 plots plot NNS 10_1101-2021_01_06_425544 400 12 of of IN 10_1101-2021_01_06_425544 400 13 lags lag NNS 10_1101-2021_01_06_425544 400 14 x(t+6 x(t+6 NNP 10_1101-2021_01_06_425544 400 15 ) ) -RRB- 10_1101-2021_01_06_425544 400 16 versus versus IN 10_1101-2021_01_06_425544 400 17 x(t x(t NNP 10_1101-2021_01_06_425544 400 18 ) ) -RRB- 10_1101-2021_01_06_425544 400 19 , , , 10_1101-2021_01_06_425544 400 20 x(t+14 x(t+14 ADD 10_1101-2021_01_06_425544 400 21 ) ) -RRB- 10_1101-2021_01_06_425544 400 22 versus versus IN 10_1101-2021_01_06_425544 400 23 x(t x(t NNP 10_1101-2021_01_06_425544 400 24 ) ) -RRB- 10_1101-2021_01_06_425544 400 25 , , , 10_1101-2021_01_06_425544 400 26 x(t+21 x(t+21 ADD 10_1101-2021_01_06_425544 400 27 ) ) -RRB- 10_1101-2021_01_06_425544 400 28 versus versus IN 10_1101-2021_01_06_425544 400 29 x(t x(t NNP 10_1101-2021_01_06_425544 400 30 ) ) -RRB- 10_1101-2021_01_06_425544 400 31 , , , 10_1101-2021_01_06_425544 400 32 and and CC 10_1101-2021_01_06_425544 400 33 x(t+35 x(t+35 ADD 10_1101-2021_01_06_425544 400 34 ) ) -RRB- 10_1101-2021_01_06_425544 400 35 versus versus IN 10_1101-2021_01_06_425544 400 36 x(t x(t NNP 10_1101-2021_01_06_425544 400 37 ) ) -RRB- 10_1101-2021_01_06_425544 400 38 . . . 10_1101-2021_01_06_425544 401 1 A a LS 10_1101-2021_01_06_425544 401 2 ) ) -RRB- 10_1101-2021_01_06_425544 401 3 Countries country NNS 10_1101-2021_01_06_425544 401 4 . . . 10_1101-2021_01_06_425544 402 1 Shown Shown NNP 10_1101-2021_01_06_425544 402 2 are be VBP 10_1101-2021_01_06_425544 402 3 ranges range NNS 10_1101-2021_01_06_425544 402 4 over over IN 10_1101-2021_01_06_425544 402 5 250 250 CD 10_1101-2021_01_06_425544 402 6 days day NNS 10_1101-2021_01_06_425544 402 7 . . . 10_1101-2021_01_06_425544 403 1 B b NN 10_1101-2021_01_06_425544 403 2 ) ) -RRB- 10_1101-2021_01_06_425544 403 3 US US NNP 10_1101-2021_01_06_425544 403 4 States States NNP 10_1101-2021_01_06_425544 403 5 . . . 10_1101-2021_01_06_425544 404 1 Shown Shown NNP 10_1101-2021_01_06_425544 404 2 are be VBP 10_1101-2021_01_06_425544 404 3 ranges range NNS 10_1101-2021_01_06_425544 404 4 over over IN 10_1101-2021_01_06_425544 404 5 200 200 CD 10_1101-2021_01_06_425544 404 6 days day NNS 10_1101-2021_01_06_425544 404 7 . . . 10_1101-2021_01_06_425544 405 1 Mass. Massachusetts NNP 10_1101-2021_01_06_425544 406 1 = = NFP 10_1101-2021_01_06_425544 406 2 Massachusetts Massachusetts NNP 10_1101-2021_01_06_425544 406 3 . . . 10_1101-2021_01_06_425544 407 1 .CC .CC NFP 10_1101-2021_01_06_425544 407 2 - - : 10_1101-2021_01_06_425544 407 3 BY by IN 10_1101-2021_01_06_425544 407 4 4.0 4.0 CD 10_1101-2021_01_06_425544 407 5 International International NNP 10_1101-2021_01_06_425544 407 6 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 407 7 under under IN 10_1101-2021_01_06_425544 407 8 a a DT 10_1101-2021_01_06_425544 407 9 ( ( -LRB- 10_1101-2021_01_06_425544 407 10 which which WDT 10_1101-2021_01_06_425544 407 11 was be VBD 10_1101-2021_01_06_425544 407 12 not not RB 10_1101-2021_01_06_425544 407 13 certified certify VBN 10_1101-2021_01_06_425544 407 14 by by IN 10_1101-2021_01_06_425544 407 15 peer peer NN 10_1101-2021_01_06_425544 407 16 review review NN 10_1101-2021_01_06_425544 407 17 ) ) -RRB- 10_1101-2021_01_06_425544 407 18 is be VBZ 10_1101-2021_01_06_425544 407 19 the the DT 10_1101-2021_01_06_425544 407 20 author author NN 10_1101-2021_01_06_425544 407 21 / / SYM 10_1101-2021_01_06_425544 407 22 funder funder NN 10_1101-2021_01_06_425544 407 23 , , , 10_1101-2021_01_06_425544 407 24 who who WP 10_1101-2021_01_06_425544 407 25 has have VBZ 10_1101-2021_01_06_425544 407 26 granted grant VBN 10_1101-2021_01_06_425544 407 27 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 407 28 a a DT 10_1101-2021_01_06_425544 407 29 license license NN 10_1101-2021_01_06_425544 407 30 to to TO 10_1101-2021_01_06_425544 407 31 display display VB 10_1101-2021_01_06_425544 407 32 the the DT 10_1101-2021_01_06_425544 407 33 preprint preprint NN 10_1101-2021_01_06_425544 407 34 in in IN 10_1101-2021_01_06_425544 407 35 perpetuity perpetuity NN 10_1101-2021_01_06_425544 407 36 . . . 10_1101-2021_01_06_425544 408 1 It -PRON- PRP 10_1101-2021_01_06_425544 408 2 is be VBZ 10_1101-2021_01_06_425544 408 3 made make VBN 10_1101-2021_01_06_425544 408 4 The the DT 10_1101-2021_01_06_425544 408 5 copyright copyright NN 10_1101-2021_01_06_425544 408 6 holder holder NN 10_1101-2021_01_06_425544 408 7 for for IN 10_1101-2021_01_06_425544 408 8 this this DT 10_1101-2021_01_06_425544 408 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 408 10 version version NN 10_1101-2021_01_06_425544 408 11 posted post VBD 10_1101-2021_01_06_425544 408 12 January January NNP 10_1101-2021_01_06_425544 408 13 6 6 CD 10_1101-2021_01_06_425544 408 14 , , , 10_1101-2021_01_06_425544 408 15 2021 2021 CD 10_1101-2021_01_06_425544 408 16 . . . 10_1101-2021_01_06_425544 408 17 ; ; : 10_1101-2021_01_06_425544 408 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 408 19 : : : 10_1101-2021_01_06_425544 408 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 408 21 preprint preprint NN 10_1101-2021_01_06_425544 408 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 408 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 408 24 .CC .CC NFP 10_1101-2021_01_06_425544 408 25 - - : 10_1101-2021_01_06_425544 408 26 BY by IN 10_1101-2021_01_06_425544 408 27 4.0 4.0 CD 10_1101-2021_01_06_425544 408 28 International International NNP 10_1101-2021_01_06_425544 408 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 408 30 under under IN 10_1101-2021_01_06_425544 408 31 a a DT 10_1101-2021_01_06_425544 408 32 ( ( -LRB- 10_1101-2021_01_06_425544 408 33 which which WDT 10_1101-2021_01_06_425544 408 34 was be VBD 10_1101-2021_01_06_425544 408 35 not not RB 10_1101-2021_01_06_425544 408 36 certified certify VBN 10_1101-2021_01_06_425544 408 37 by by IN 10_1101-2021_01_06_425544 408 38 peer peer NN 10_1101-2021_01_06_425544 408 39 review review NN 10_1101-2021_01_06_425544 408 40 ) ) -RRB- 10_1101-2021_01_06_425544 408 41 is be VBZ 10_1101-2021_01_06_425544 408 42 the the DT 10_1101-2021_01_06_425544 408 43 author author NN 10_1101-2021_01_06_425544 408 44 / / SYM 10_1101-2021_01_06_425544 408 45 funder funder NN 10_1101-2021_01_06_425544 408 46 , , , 10_1101-2021_01_06_425544 408 47 who who WP 10_1101-2021_01_06_425544 408 48 has have VBZ 10_1101-2021_01_06_425544 408 49 granted grant VBN 10_1101-2021_01_06_425544 408 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 408 51 a a DT 10_1101-2021_01_06_425544 408 52 license license NN 10_1101-2021_01_06_425544 408 53 to to TO 10_1101-2021_01_06_425544 408 54 display display VB 10_1101-2021_01_06_425544 408 55 the the DT 10_1101-2021_01_06_425544 408 56 preprint preprint NN 10_1101-2021_01_06_425544 408 57 in in IN 10_1101-2021_01_06_425544 408 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 408 59 . . . 10_1101-2021_01_06_425544 409 1 It -PRON- PRP 10_1101-2021_01_06_425544 409 2 is be VBZ 10_1101-2021_01_06_425544 409 3 made make VBN 10_1101-2021_01_06_425544 409 4 The the DT 10_1101-2021_01_06_425544 409 5 copyright copyright NN 10_1101-2021_01_06_425544 409 6 holder holder NN 10_1101-2021_01_06_425544 409 7 for for IN 10_1101-2021_01_06_425544 409 8 this this DT 10_1101-2021_01_06_425544 409 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 409 10 version version NN 10_1101-2021_01_06_425544 409 11 posted post VBD 10_1101-2021_01_06_425544 409 12 January January NNP 10_1101-2021_01_06_425544 409 13 6 6 CD 10_1101-2021_01_06_425544 409 14 , , , 10_1101-2021_01_06_425544 409 15 2021 2021 CD 10_1101-2021_01_06_425544 409 16 . . . 10_1101-2021_01_06_425544 409 17 ; ; : 10_1101-2021_01_06_425544 409 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 409 19 : : : 10_1101-2021_01_06_425544 409 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 409 21 preprint preprint NN 10_1101-2021_01_06_425544 409 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 409 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 409 24 .CC .CC NFP 10_1101-2021_01_06_425544 409 25 - - : 10_1101-2021_01_06_425544 409 26 BY by IN 10_1101-2021_01_06_425544 409 27 4.0 4.0 CD 10_1101-2021_01_06_425544 409 28 International International NNP 10_1101-2021_01_06_425544 409 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 409 30 under under IN 10_1101-2021_01_06_425544 409 31 a a DT 10_1101-2021_01_06_425544 409 32 ( ( -LRB- 10_1101-2021_01_06_425544 409 33 which which WDT 10_1101-2021_01_06_425544 409 34 was be VBD 10_1101-2021_01_06_425544 409 35 not not RB 10_1101-2021_01_06_425544 409 36 certified certify VBN 10_1101-2021_01_06_425544 409 37 by by IN 10_1101-2021_01_06_425544 409 38 peer peer NN 10_1101-2021_01_06_425544 409 39 review review NN 10_1101-2021_01_06_425544 409 40 ) ) -RRB- 10_1101-2021_01_06_425544 409 41 is be VBZ 10_1101-2021_01_06_425544 409 42 the the DT 10_1101-2021_01_06_425544 409 43 author author NN 10_1101-2021_01_06_425544 409 44 / / SYM 10_1101-2021_01_06_425544 409 45 funder funder NN 10_1101-2021_01_06_425544 409 46 , , , 10_1101-2021_01_06_425544 409 47 who who WP 10_1101-2021_01_06_425544 409 48 has have VBZ 10_1101-2021_01_06_425544 409 49 granted grant VBN 10_1101-2021_01_06_425544 409 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 409 51 a a DT 10_1101-2021_01_06_425544 409 52 license license NN 10_1101-2021_01_06_425544 409 53 to to TO 10_1101-2021_01_06_425544 409 54 display display VB 10_1101-2021_01_06_425544 409 55 the the DT 10_1101-2021_01_06_425544 409 56 preprint preprint NN 10_1101-2021_01_06_425544 409 57 in in IN 10_1101-2021_01_06_425544 409 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 409 59 . . . 10_1101-2021_01_06_425544 410 1 It -PRON- PRP 10_1101-2021_01_06_425544 410 2 is be VBZ 10_1101-2021_01_06_425544 410 3 made make VBN 10_1101-2021_01_06_425544 410 4 The the DT 10_1101-2021_01_06_425544 410 5 copyright copyright NN 10_1101-2021_01_06_425544 410 6 holder holder NN 10_1101-2021_01_06_425544 410 7 for for IN 10_1101-2021_01_06_425544 410 8 this this DT 10_1101-2021_01_06_425544 410 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 410 10 version version NN 10_1101-2021_01_06_425544 410 11 posted post VBD 10_1101-2021_01_06_425544 410 12 January January NNP 10_1101-2021_01_06_425544 410 13 6 6 CD 10_1101-2021_01_06_425544 410 14 , , , 10_1101-2021_01_06_425544 410 15 2021 2021 CD 10_1101-2021_01_06_425544 410 16 . . . 10_1101-2021_01_06_425544 410 17 ; ; : 10_1101-2021_01_06_425544 410 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 410 19 : : : 10_1101-2021_01_06_425544 410 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 410 21 preprint preprint NN 10_1101-2021_01_06_425544 410 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 410 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 410 24 .CC .CC NFP 10_1101-2021_01_06_425544 410 25 - - : 10_1101-2021_01_06_425544 410 26 BY by IN 10_1101-2021_01_06_425544 410 27 4.0 4.0 CD 10_1101-2021_01_06_425544 410 28 International International NNP 10_1101-2021_01_06_425544 410 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 410 30 under under IN 10_1101-2021_01_06_425544 410 31 a a DT 10_1101-2021_01_06_425544 410 32 ( ( -LRB- 10_1101-2021_01_06_425544 410 33 which which WDT 10_1101-2021_01_06_425544 410 34 was be VBD 10_1101-2021_01_06_425544 410 35 not not RB 10_1101-2021_01_06_425544 410 36 certified certify VBN 10_1101-2021_01_06_425544 410 37 by by IN 10_1101-2021_01_06_425544 410 38 peer peer NN 10_1101-2021_01_06_425544 410 39 review review NN 10_1101-2021_01_06_425544 410 40 ) ) -RRB- 10_1101-2021_01_06_425544 410 41 is be VBZ 10_1101-2021_01_06_425544 410 42 the the DT 10_1101-2021_01_06_425544 410 43 author author NN 10_1101-2021_01_06_425544 410 44 / / SYM 10_1101-2021_01_06_425544 410 45 funder funder NN 10_1101-2021_01_06_425544 410 46 , , , 10_1101-2021_01_06_425544 410 47 who who WP 10_1101-2021_01_06_425544 410 48 has have VBZ 10_1101-2021_01_06_425544 410 49 granted grant VBN 10_1101-2021_01_06_425544 410 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 410 51 a a DT 10_1101-2021_01_06_425544 410 52 license license NN 10_1101-2021_01_06_425544 410 53 to to TO 10_1101-2021_01_06_425544 410 54 display display VB 10_1101-2021_01_06_425544 410 55 the the DT 10_1101-2021_01_06_425544 410 56 preprint preprint NN 10_1101-2021_01_06_425544 410 57 in in IN 10_1101-2021_01_06_425544 410 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 410 59 . . . 10_1101-2021_01_06_425544 411 1 It -PRON- PRP 10_1101-2021_01_06_425544 411 2 is be VBZ 10_1101-2021_01_06_425544 411 3 made make VBN 10_1101-2021_01_06_425544 411 4 The the DT 10_1101-2021_01_06_425544 411 5 copyright copyright NN 10_1101-2021_01_06_425544 411 6 holder holder NN 10_1101-2021_01_06_425544 411 7 for for IN 10_1101-2021_01_06_425544 411 8 this this DT 10_1101-2021_01_06_425544 411 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 411 10 version version NN 10_1101-2021_01_06_425544 411 11 posted post VBD 10_1101-2021_01_06_425544 411 12 January January NNP 10_1101-2021_01_06_425544 411 13 6 6 CD 10_1101-2021_01_06_425544 411 14 , , , 10_1101-2021_01_06_425544 411 15 2021 2021 CD 10_1101-2021_01_06_425544 411 16 . . . 10_1101-2021_01_06_425544 411 17 ; ; : 10_1101-2021_01_06_425544 411 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 411 19 : : : 10_1101-2021_01_06_425544 411 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 411 21 preprint preprint NN 10_1101-2021_01_06_425544 411 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 411 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 411 24 .CC .CC NFP 10_1101-2021_01_06_425544 411 25 - - : 10_1101-2021_01_06_425544 411 26 BY by IN 10_1101-2021_01_06_425544 411 27 4.0 4.0 CD 10_1101-2021_01_06_425544 411 28 International International NNP 10_1101-2021_01_06_425544 411 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 411 30 under under IN 10_1101-2021_01_06_425544 411 31 a a DT 10_1101-2021_01_06_425544 411 32 ( ( -LRB- 10_1101-2021_01_06_425544 411 33 which which WDT 10_1101-2021_01_06_425544 411 34 was be VBD 10_1101-2021_01_06_425544 411 35 not not RB 10_1101-2021_01_06_425544 411 36 certified certify VBN 10_1101-2021_01_06_425544 411 37 by by IN 10_1101-2021_01_06_425544 411 38 peer peer NN 10_1101-2021_01_06_425544 411 39 review review NN 10_1101-2021_01_06_425544 411 40 ) ) -RRB- 10_1101-2021_01_06_425544 411 41 is be VBZ 10_1101-2021_01_06_425544 411 42 the the DT 10_1101-2021_01_06_425544 411 43 author author NN 10_1101-2021_01_06_425544 411 44 / / SYM 10_1101-2021_01_06_425544 411 45 funder funder NN 10_1101-2021_01_06_425544 411 46 , , , 10_1101-2021_01_06_425544 411 47 who who WP 10_1101-2021_01_06_425544 411 48 has have VBZ 10_1101-2021_01_06_425544 411 49 granted grant VBN 10_1101-2021_01_06_425544 411 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 411 51 a a DT 10_1101-2021_01_06_425544 411 52 license license NN 10_1101-2021_01_06_425544 411 53 to to TO 10_1101-2021_01_06_425544 411 54 display display VB 10_1101-2021_01_06_425544 411 55 the the DT 10_1101-2021_01_06_425544 411 56 preprint preprint NN 10_1101-2021_01_06_425544 411 57 in in IN 10_1101-2021_01_06_425544 411 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 411 59 . . . 10_1101-2021_01_06_425544 412 1 It -PRON- PRP 10_1101-2021_01_06_425544 412 2 is be VBZ 10_1101-2021_01_06_425544 412 3 made make VBN 10_1101-2021_01_06_425544 412 4 The the DT 10_1101-2021_01_06_425544 412 5 copyright copyright NN 10_1101-2021_01_06_425544 412 6 holder holder NN 10_1101-2021_01_06_425544 412 7 for for IN 10_1101-2021_01_06_425544 412 8 this this DT 10_1101-2021_01_06_425544 412 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 412 10 version version NN 10_1101-2021_01_06_425544 412 11 posted post VBD 10_1101-2021_01_06_425544 412 12 January January NNP 10_1101-2021_01_06_425544 412 13 6 6 CD 10_1101-2021_01_06_425544 412 14 , , , 10_1101-2021_01_06_425544 412 15 2021 2021 CD 10_1101-2021_01_06_425544 412 16 . . . 10_1101-2021_01_06_425544 412 17 ; ; : 10_1101-2021_01_06_425544 412 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 412 19 : : : 10_1101-2021_01_06_425544 412 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 412 21 preprint preprint NN 10_1101-2021_01_06_425544 412 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 412 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 412 24 .CC .CC NFP 10_1101-2021_01_06_425544 412 25 - - : 10_1101-2021_01_06_425544 412 26 BY by IN 10_1101-2021_01_06_425544 412 27 4.0 4.0 CD 10_1101-2021_01_06_425544 412 28 International International NNP 10_1101-2021_01_06_425544 412 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 412 30 under under IN 10_1101-2021_01_06_425544 412 31 a a DT 10_1101-2021_01_06_425544 412 32 ( ( -LRB- 10_1101-2021_01_06_425544 412 33 which which WDT 10_1101-2021_01_06_425544 412 34 was be VBD 10_1101-2021_01_06_425544 412 35 not not RB 10_1101-2021_01_06_425544 412 36 certified certify VBN 10_1101-2021_01_06_425544 412 37 by by IN 10_1101-2021_01_06_425544 412 38 peer peer NN 10_1101-2021_01_06_425544 412 39 review review NN 10_1101-2021_01_06_425544 412 40 ) ) -RRB- 10_1101-2021_01_06_425544 412 41 is be VBZ 10_1101-2021_01_06_425544 412 42 the the DT 10_1101-2021_01_06_425544 412 43 author author NN 10_1101-2021_01_06_425544 412 44 / / SYM 10_1101-2021_01_06_425544 412 45 funder funder NN 10_1101-2021_01_06_425544 412 46 , , , 10_1101-2021_01_06_425544 412 47 who who WP 10_1101-2021_01_06_425544 412 48 has have VBZ 10_1101-2021_01_06_425544 412 49 granted grant VBN 10_1101-2021_01_06_425544 412 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 412 51 a a DT 10_1101-2021_01_06_425544 412 52 license license NN 10_1101-2021_01_06_425544 412 53 to to TO 10_1101-2021_01_06_425544 412 54 display display VB 10_1101-2021_01_06_425544 412 55 the the DT 10_1101-2021_01_06_425544 412 56 preprint preprint NN 10_1101-2021_01_06_425544 412 57 in in IN 10_1101-2021_01_06_425544 412 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 412 59 . . . 10_1101-2021_01_06_425544 413 1 It -PRON- PRP 10_1101-2021_01_06_425544 413 2 is be VBZ 10_1101-2021_01_06_425544 413 3 made make VBN 10_1101-2021_01_06_425544 413 4 The the DT 10_1101-2021_01_06_425544 413 5 copyright copyright NN 10_1101-2021_01_06_425544 413 6 holder holder NN 10_1101-2021_01_06_425544 413 7 for for IN 10_1101-2021_01_06_425544 413 8 this this DT 10_1101-2021_01_06_425544 413 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 413 10 version version NN 10_1101-2021_01_06_425544 413 11 posted post VBD 10_1101-2021_01_06_425544 413 12 January January NNP 10_1101-2021_01_06_425544 413 13 6 6 CD 10_1101-2021_01_06_425544 413 14 , , , 10_1101-2021_01_06_425544 413 15 2021 2021 CD 10_1101-2021_01_06_425544 413 16 . . . 10_1101-2021_01_06_425544 413 17 ; ; : 10_1101-2021_01_06_425544 413 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 413 19 : : : 10_1101-2021_01_06_425544 413 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 413 21 preprint preprint NN 10_1101-2021_01_06_425544 413 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 413 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 413 24 .CC .CC NFP 10_1101-2021_01_06_425544 413 25 - - : 10_1101-2021_01_06_425544 413 26 BY by IN 10_1101-2021_01_06_425544 413 27 4.0 4.0 CD 10_1101-2021_01_06_425544 413 28 International International NNP 10_1101-2021_01_06_425544 413 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 413 30 under under IN 10_1101-2021_01_06_425544 413 31 a a DT 10_1101-2021_01_06_425544 413 32 ( ( -LRB- 10_1101-2021_01_06_425544 413 33 which which WDT 10_1101-2021_01_06_425544 413 34 was be VBD 10_1101-2021_01_06_425544 413 35 not not RB 10_1101-2021_01_06_425544 413 36 certified certify VBN 10_1101-2021_01_06_425544 413 37 by by IN 10_1101-2021_01_06_425544 413 38 peer peer NN 10_1101-2021_01_06_425544 413 39 review review NN 10_1101-2021_01_06_425544 413 40 ) ) -RRB- 10_1101-2021_01_06_425544 413 41 is be VBZ 10_1101-2021_01_06_425544 413 42 the the DT 10_1101-2021_01_06_425544 413 43 author author NN 10_1101-2021_01_06_425544 413 44 / / SYM 10_1101-2021_01_06_425544 413 45 funder funder NN 10_1101-2021_01_06_425544 413 46 , , , 10_1101-2021_01_06_425544 413 47 who who WP 10_1101-2021_01_06_425544 413 48 has have VBZ 10_1101-2021_01_06_425544 413 49 granted grant VBN 10_1101-2021_01_06_425544 413 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 413 51 a a DT 10_1101-2021_01_06_425544 413 52 license license NN 10_1101-2021_01_06_425544 413 53 to to TO 10_1101-2021_01_06_425544 413 54 display display VB 10_1101-2021_01_06_425544 413 55 the the DT 10_1101-2021_01_06_425544 413 56 preprint preprint NN 10_1101-2021_01_06_425544 413 57 in in IN 10_1101-2021_01_06_425544 413 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 413 59 . . . 10_1101-2021_01_06_425544 414 1 It -PRON- PRP 10_1101-2021_01_06_425544 414 2 is be VBZ 10_1101-2021_01_06_425544 414 3 made make VBN 10_1101-2021_01_06_425544 414 4 The the DT 10_1101-2021_01_06_425544 414 5 copyright copyright NN 10_1101-2021_01_06_425544 414 6 holder holder NN 10_1101-2021_01_06_425544 414 7 for for IN 10_1101-2021_01_06_425544 414 8 this this DT 10_1101-2021_01_06_425544 414 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 414 10 version version NN 10_1101-2021_01_06_425544 414 11 posted post VBD 10_1101-2021_01_06_425544 414 12 January January NNP 10_1101-2021_01_06_425544 414 13 6 6 CD 10_1101-2021_01_06_425544 414 14 , , , 10_1101-2021_01_06_425544 414 15 2021 2021 CD 10_1101-2021_01_06_425544 414 16 . . . 10_1101-2021_01_06_425544 414 17 ; ; : 10_1101-2021_01_06_425544 414 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 414 19 : : : 10_1101-2021_01_06_425544 414 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 414 21 preprint preprint NN 10_1101-2021_01_06_425544 414 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 414 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 414 24 .CC .CC NFP 10_1101-2021_01_06_425544 414 25 - - : 10_1101-2021_01_06_425544 414 26 BY by IN 10_1101-2021_01_06_425544 414 27 4.0 4.0 CD 10_1101-2021_01_06_425544 414 28 International International NNP 10_1101-2021_01_06_425544 414 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 414 30 under under IN 10_1101-2021_01_06_425544 414 31 a a DT 10_1101-2021_01_06_425544 414 32 ( ( -LRB- 10_1101-2021_01_06_425544 414 33 which which WDT 10_1101-2021_01_06_425544 414 34 was be VBD 10_1101-2021_01_06_425544 414 35 not not RB 10_1101-2021_01_06_425544 414 36 certified certify VBN 10_1101-2021_01_06_425544 414 37 by by IN 10_1101-2021_01_06_425544 414 38 peer peer NN 10_1101-2021_01_06_425544 414 39 review review NN 10_1101-2021_01_06_425544 414 40 ) ) -RRB- 10_1101-2021_01_06_425544 414 41 is be VBZ 10_1101-2021_01_06_425544 414 42 the the DT 10_1101-2021_01_06_425544 414 43 author author NN 10_1101-2021_01_06_425544 414 44 / / SYM 10_1101-2021_01_06_425544 414 45 funder funder NN 10_1101-2021_01_06_425544 414 46 , , , 10_1101-2021_01_06_425544 414 47 who who WP 10_1101-2021_01_06_425544 414 48 has have VBZ 10_1101-2021_01_06_425544 414 49 granted grant VBN 10_1101-2021_01_06_425544 414 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 414 51 a a DT 10_1101-2021_01_06_425544 414 52 license license NN 10_1101-2021_01_06_425544 414 53 to to TO 10_1101-2021_01_06_425544 414 54 display display VB 10_1101-2021_01_06_425544 414 55 the the DT 10_1101-2021_01_06_425544 414 56 preprint preprint NN 10_1101-2021_01_06_425544 414 57 in in IN 10_1101-2021_01_06_425544 414 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 414 59 . . . 10_1101-2021_01_06_425544 415 1 It -PRON- PRP 10_1101-2021_01_06_425544 415 2 is be VBZ 10_1101-2021_01_06_425544 415 3 made make VBN 10_1101-2021_01_06_425544 415 4 The the DT 10_1101-2021_01_06_425544 415 5 copyright copyright NN 10_1101-2021_01_06_425544 415 6 holder holder NN 10_1101-2021_01_06_425544 415 7 for for IN 10_1101-2021_01_06_425544 415 8 this this DT 10_1101-2021_01_06_425544 415 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 415 10 version version NN 10_1101-2021_01_06_425544 415 11 posted post VBD 10_1101-2021_01_06_425544 415 12 January January NNP 10_1101-2021_01_06_425544 415 13 6 6 CD 10_1101-2021_01_06_425544 415 14 , , , 10_1101-2021_01_06_425544 415 15 2021 2021 CD 10_1101-2021_01_06_425544 415 16 . . . 10_1101-2021_01_06_425544 415 17 ; ; : 10_1101-2021_01_06_425544 415 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 415 19 : : : 10_1101-2021_01_06_425544 415 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 415 21 preprint preprint NN 10_1101-2021_01_06_425544 415 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 415 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 415 24 .CC .CC NFP 10_1101-2021_01_06_425544 415 25 - - : 10_1101-2021_01_06_425544 415 26 BY by IN 10_1101-2021_01_06_425544 415 27 4.0 4.0 CD 10_1101-2021_01_06_425544 415 28 International International NNP 10_1101-2021_01_06_425544 415 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 415 30 under under IN 10_1101-2021_01_06_425544 415 31 a a DT 10_1101-2021_01_06_425544 415 32 ( ( -LRB- 10_1101-2021_01_06_425544 415 33 which which WDT 10_1101-2021_01_06_425544 415 34 was be VBD 10_1101-2021_01_06_425544 415 35 not not RB 10_1101-2021_01_06_425544 415 36 certified certify VBN 10_1101-2021_01_06_425544 415 37 by by IN 10_1101-2021_01_06_425544 415 38 peer peer NN 10_1101-2021_01_06_425544 415 39 review review NN 10_1101-2021_01_06_425544 415 40 ) ) -RRB- 10_1101-2021_01_06_425544 415 41 is be VBZ 10_1101-2021_01_06_425544 415 42 the the DT 10_1101-2021_01_06_425544 415 43 author author NN 10_1101-2021_01_06_425544 415 44 / / SYM 10_1101-2021_01_06_425544 415 45 funder funder NN 10_1101-2021_01_06_425544 415 46 , , , 10_1101-2021_01_06_425544 415 47 who who WP 10_1101-2021_01_06_425544 415 48 has have VBZ 10_1101-2021_01_06_425544 415 49 granted grant VBN 10_1101-2021_01_06_425544 415 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 415 51 a a DT 10_1101-2021_01_06_425544 415 52 license license NN 10_1101-2021_01_06_425544 415 53 to to TO 10_1101-2021_01_06_425544 415 54 display display VB 10_1101-2021_01_06_425544 415 55 the the DT 10_1101-2021_01_06_425544 415 56 preprint preprint NN 10_1101-2021_01_06_425544 415 57 in in IN 10_1101-2021_01_06_425544 415 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 415 59 . . . 10_1101-2021_01_06_425544 416 1 It -PRON- PRP 10_1101-2021_01_06_425544 416 2 is be VBZ 10_1101-2021_01_06_425544 416 3 made make VBN 10_1101-2021_01_06_425544 416 4 The the DT 10_1101-2021_01_06_425544 416 5 copyright copyright NN 10_1101-2021_01_06_425544 416 6 holder holder NN 10_1101-2021_01_06_425544 416 7 for for IN 10_1101-2021_01_06_425544 416 8 this this DT 10_1101-2021_01_06_425544 416 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 416 10 version version NN 10_1101-2021_01_06_425544 416 11 posted post VBD 10_1101-2021_01_06_425544 416 12 January January NNP 10_1101-2021_01_06_425544 416 13 6 6 CD 10_1101-2021_01_06_425544 416 14 , , , 10_1101-2021_01_06_425544 416 15 2021 2021 CD 10_1101-2021_01_06_425544 416 16 . . . 10_1101-2021_01_06_425544 416 17 ; ; : 10_1101-2021_01_06_425544 416 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 416 19 : : : 10_1101-2021_01_06_425544 416 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 416 21 preprint preprint NN 10_1101-2021_01_06_425544 416 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 416 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 416 24 .CC .CC NFP 10_1101-2021_01_06_425544 416 25 - - : 10_1101-2021_01_06_425544 416 26 BY by IN 10_1101-2021_01_06_425544 416 27 4.0 4.0 CD 10_1101-2021_01_06_425544 416 28 International International NNP 10_1101-2021_01_06_425544 416 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 416 30 under under IN 10_1101-2021_01_06_425544 416 31 a a DT 10_1101-2021_01_06_425544 416 32 ( ( -LRB- 10_1101-2021_01_06_425544 416 33 which which WDT 10_1101-2021_01_06_425544 416 34 was be VBD 10_1101-2021_01_06_425544 416 35 not not RB 10_1101-2021_01_06_425544 416 36 certified certify VBN 10_1101-2021_01_06_425544 416 37 by by IN 10_1101-2021_01_06_425544 416 38 peer peer NN 10_1101-2021_01_06_425544 416 39 review review NN 10_1101-2021_01_06_425544 416 40 ) ) -RRB- 10_1101-2021_01_06_425544 416 41 is be VBZ 10_1101-2021_01_06_425544 416 42 the the DT 10_1101-2021_01_06_425544 416 43 author author NN 10_1101-2021_01_06_425544 416 44 / / SYM 10_1101-2021_01_06_425544 416 45 funder funder NN 10_1101-2021_01_06_425544 416 46 , , , 10_1101-2021_01_06_425544 416 47 who who WP 10_1101-2021_01_06_425544 416 48 has have VBZ 10_1101-2021_01_06_425544 416 49 granted grant VBN 10_1101-2021_01_06_425544 416 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 416 51 a a DT 10_1101-2021_01_06_425544 416 52 license license NN 10_1101-2021_01_06_425544 416 53 to to TO 10_1101-2021_01_06_425544 416 54 display display VB 10_1101-2021_01_06_425544 416 55 the the DT 10_1101-2021_01_06_425544 416 56 preprint preprint NN 10_1101-2021_01_06_425544 416 57 in in IN 10_1101-2021_01_06_425544 416 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 416 59 . . . 10_1101-2021_01_06_425544 417 1 It -PRON- PRP 10_1101-2021_01_06_425544 417 2 is be VBZ 10_1101-2021_01_06_425544 417 3 made make VBN 10_1101-2021_01_06_425544 417 4 The the DT 10_1101-2021_01_06_425544 417 5 copyright copyright NN 10_1101-2021_01_06_425544 417 6 holder holder NN 10_1101-2021_01_06_425544 417 7 for for IN 10_1101-2021_01_06_425544 417 8 this this DT 10_1101-2021_01_06_425544 417 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 417 10 version version NN 10_1101-2021_01_06_425544 417 11 posted post VBD 10_1101-2021_01_06_425544 417 12 January January NNP 10_1101-2021_01_06_425544 417 13 6 6 CD 10_1101-2021_01_06_425544 417 14 , , , 10_1101-2021_01_06_425544 417 15 2021 2021 CD 10_1101-2021_01_06_425544 417 16 . . . 10_1101-2021_01_06_425544 417 17 ; ; : 10_1101-2021_01_06_425544 417 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 417 19 : : : 10_1101-2021_01_06_425544 417 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 417 21 preprint preprint NN 10_1101-2021_01_06_425544 417 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 417 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 417 24 .CC .CC NFP 10_1101-2021_01_06_425544 417 25 - - : 10_1101-2021_01_06_425544 417 26 BY by IN 10_1101-2021_01_06_425544 417 27 4.0 4.0 CD 10_1101-2021_01_06_425544 417 28 International International NNP 10_1101-2021_01_06_425544 417 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 417 30 under under IN 10_1101-2021_01_06_425544 417 31 a a DT 10_1101-2021_01_06_425544 417 32 ( ( -LRB- 10_1101-2021_01_06_425544 417 33 which which WDT 10_1101-2021_01_06_425544 417 34 was be VBD 10_1101-2021_01_06_425544 417 35 not not RB 10_1101-2021_01_06_425544 417 36 certified certify VBN 10_1101-2021_01_06_425544 417 37 by by IN 10_1101-2021_01_06_425544 417 38 peer peer NN 10_1101-2021_01_06_425544 417 39 review review NN 10_1101-2021_01_06_425544 417 40 ) ) -RRB- 10_1101-2021_01_06_425544 417 41 is be VBZ 10_1101-2021_01_06_425544 417 42 the the DT 10_1101-2021_01_06_425544 417 43 author author NN 10_1101-2021_01_06_425544 417 44 / / SYM 10_1101-2021_01_06_425544 417 45 funder funder NN 10_1101-2021_01_06_425544 417 46 , , , 10_1101-2021_01_06_425544 417 47 who who WP 10_1101-2021_01_06_425544 417 48 has have VBZ 10_1101-2021_01_06_425544 417 49 granted grant VBN 10_1101-2021_01_06_425544 417 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 417 51 a a DT 10_1101-2021_01_06_425544 417 52 license license NN 10_1101-2021_01_06_425544 417 53 to to TO 10_1101-2021_01_06_425544 417 54 display display VB 10_1101-2021_01_06_425544 417 55 the the DT 10_1101-2021_01_06_425544 417 56 preprint preprint NN 10_1101-2021_01_06_425544 417 57 in in IN 10_1101-2021_01_06_425544 417 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 417 59 . . . 10_1101-2021_01_06_425544 418 1 It -PRON- PRP 10_1101-2021_01_06_425544 418 2 is be VBZ 10_1101-2021_01_06_425544 418 3 made make VBN 10_1101-2021_01_06_425544 418 4 The the DT 10_1101-2021_01_06_425544 418 5 copyright copyright NN 10_1101-2021_01_06_425544 418 6 holder holder NN 10_1101-2021_01_06_425544 418 7 for for IN 10_1101-2021_01_06_425544 418 8 this this DT 10_1101-2021_01_06_425544 418 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 418 10 version version NN 10_1101-2021_01_06_425544 418 11 posted post VBD 10_1101-2021_01_06_425544 418 12 January January NNP 10_1101-2021_01_06_425544 418 13 6 6 CD 10_1101-2021_01_06_425544 418 14 , , , 10_1101-2021_01_06_425544 418 15 2021 2021 CD 10_1101-2021_01_06_425544 418 16 . . . 10_1101-2021_01_06_425544 418 17 ; ; : 10_1101-2021_01_06_425544 418 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 418 19 : : : 10_1101-2021_01_06_425544 418 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 418 21 preprint preprint NN 10_1101-2021_01_06_425544 418 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 418 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 418 24 .CC .CC NFP 10_1101-2021_01_06_425544 418 25 - - : 10_1101-2021_01_06_425544 418 26 BY by IN 10_1101-2021_01_06_425544 418 27 4.0 4.0 CD 10_1101-2021_01_06_425544 418 28 International International NNP 10_1101-2021_01_06_425544 418 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 418 30 under under IN 10_1101-2021_01_06_425544 418 31 a a DT 10_1101-2021_01_06_425544 418 32 ( ( -LRB- 10_1101-2021_01_06_425544 418 33 which which WDT 10_1101-2021_01_06_425544 418 34 was be VBD 10_1101-2021_01_06_425544 418 35 not not RB 10_1101-2021_01_06_425544 418 36 certified certify VBN 10_1101-2021_01_06_425544 418 37 by by IN 10_1101-2021_01_06_425544 418 38 peer peer NN 10_1101-2021_01_06_425544 418 39 review review NN 10_1101-2021_01_06_425544 418 40 ) ) -RRB- 10_1101-2021_01_06_425544 418 41 is be VBZ 10_1101-2021_01_06_425544 418 42 the the DT 10_1101-2021_01_06_425544 418 43 author author NN 10_1101-2021_01_06_425544 418 44 / / SYM 10_1101-2021_01_06_425544 418 45 funder funder NN 10_1101-2021_01_06_425544 418 46 , , , 10_1101-2021_01_06_425544 418 47 who who WP 10_1101-2021_01_06_425544 418 48 has have VBZ 10_1101-2021_01_06_425544 418 49 granted grant VBN 10_1101-2021_01_06_425544 418 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 418 51 a a DT 10_1101-2021_01_06_425544 418 52 license license NN 10_1101-2021_01_06_425544 418 53 to to TO 10_1101-2021_01_06_425544 418 54 display display VB 10_1101-2021_01_06_425544 418 55 the the DT 10_1101-2021_01_06_425544 418 56 preprint preprint NN 10_1101-2021_01_06_425544 418 57 in in IN 10_1101-2021_01_06_425544 418 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 418 59 . . . 10_1101-2021_01_06_425544 419 1 It -PRON- PRP 10_1101-2021_01_06_425544 419 2 is be VBZ 10_1101-2021_01_06_425544 419 3 made make VBN 10_1101-2021_01_06_425544 419 4 The the DT 10_1101-2021_01_06_425544 419 5 copyright copyright NN 10_1101-2021_01_06_425544 419 6 holder holder NN 10_1101-2021_01_06_425544 419 7 for for IN 10_1101-2021_01_06_425544 419 8 this this DT 10_1101-2021_01_06_425544 419 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 419 10 version version NN 10_1101-2021_01_06_425544 419 11 posted post VBD 10_1101-2021_01_06_425544 419 12 January January NNP 10_1101-2021_01_06_425544 419 13 6 6 CD 10_1101-2021_01_06_425544 419 14 , , , 10_1101-2021_01_06_425544 419 15 2021 2021 CD 10_1101-2021_01_06_425544 419 16 . . . 10_1101-2021_01_06_425544 419 17 ; ; : 10_1101-2021_01_06_425544 419 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 419 19 : : : 10_1101-2021_01_06_425544 419 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 419 21 preprint preprint NN 10_1101-2021_01_06_425544 419 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 419 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 419 24 .CC .CC NFP 10_1101-2021_01_06_425544 419 25 - - : 10_1101-2021_01_06_425544 419 26 BY by IN 10_1101-2021_01_06_425544 419 27 4.0 4.0 CD 10_1101-2021_01_06_425544 419 28 International International NNP 10_1101-2021_01_06_425544 419 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 419 30 under under IN 10_1101-2021_01_06_425544 419 31 a a DT 10_1101-2021_01_06_425544 419 32 ( ( -LRB- 10_1101-2021_01_06_425544 419 33 which which WDT 10_1101-2021_01_06_425544 419 34 was be VBD 10_1101-2021_01_06_425544 419 35 not not RB 10_1101-2021_01_06_425544 419 36 certified certify VBN 10_1101-2021_01_06_425544 419 37 by by IN 10_1101-2021_01_06_425544 419 38 peer peer NN 10_1101-2021_01_06_425544 419 39 review review NN 10_1101-2021_01_06_425544 419 40 ) ) -RRB- 10_1101-2021_01_06_425544 419 41 is be VBZ 10_1101-2021_01_06_425544 419 42 the the DT 10_1101-2021_01_06_425544 419 43 author author NN 10_1101-2021_01_06_425544 419 44 / / SYM 10_1101-2021_01_06_425544 419 45 funder funder NN 10_1101-2021_01_06_425544 419 46 , , , 10_1101-2021_01_06_425544 419 47 who who WP 10_1101-2021_01_06_425544 419 48 has have VBZ 10_1101-2021_01_06_425544 419 49 granted grant VBN 10_1101-2021_01_06_425544 419 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 419 51 a a DT 10_1101-2021_01_06_425544 419 52 license license NN 10_1101-2021_01_06_425544 419 53 to to TO 10_1101-2021_01_06_425544 419 54 display display VB 10_1101-2021_01_06_425544 419 55 the the DT 10_1101-2021_01_06_425544 419 56 preprint preprint NN 10_1101-2021_01_06_425544 419 57 in in IN 10_1101-2021_01_06_425544 419 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 419 59 . . . 10_1101-2021_01_06_425544 420 1 It -PRON- PRP 10_1101-2021_01_06_425544 420 2 is be VBZ 10_1101-2021_01_06_425544 420 3 made make VBN 10_1101-2021_01_06_425544 420 4 The the DT 10_1101-2021_01_06_425544 420 5 copyright copyright NN 10_1101-2021_01_06_425544 420 6 holder holder NN 10_1101-2021_01_06_425544 420 7 for for IN 10_1101-2021_01_06_425544 420 8 this this DT 10_1101-2021_01_06_425544 420 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 420 10 version version NN 10_1101-2021_01_06_425544 420 11 posted post VBD 10_1101-2021_01_06_425544 420 12 January January NNP 10_1101-2021_01_06_425544 420 13 6 6 CD 10_1101-2021_01_06_425544 420 14 , , , 10_1101-2021_01_06_425544 420 15 2021 2021 CD 10_1101-2021_01_06_425544 420 16 . . . 10_1101-2021_01_06_425544 420 17 ; ; : 10_1101-2021_01_06_425544 420 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 420 19 : : : 10_1101-2021_01_06_425544 420 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 420 21 preprint preprint NN 10_1101-2021_01_06_425544 420 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 420 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 420 24 .CC .CC NFP 10_1101-2021_01_06_425544 420 25 - - : 10_1101-2021_01_06_425544 420 26 BY by IN 10_1101-2021_01_06_425544 420 27 4.0 4.0 CD 10_1101-2021_01_06_425544 420 28 International International NNP 10_1101-2021_01_06_425544 420 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 420 30 under under IN 10_1101-2021_01_06_425544 420 31 a a DT 10_1101-2021_01_06_425544 420 32 ( ( -LRB- 10_1101-2021_01_06_425544 420 33 which which WDT 10_1101-2021_01_06_425544 420 34 was be VBD 10_1101-2021_01_06_425544 420 35 not not RB 10_1101-2021_01_06_425544 420 36 certified certify VBN 10_1101-2021_01_06_425544 420 37 by by IN 10_1101-2021_01_06_425544 420 38 peer peer NN 10_1101-2021_01_06_425544 420 39 review review NN 10_1101-2021_01_06_425544 420 40 ) ) -RRB- 10_1101-2021_01_06_425544 420 41 is be VBZ 10_1101-2021_01_06_425544 420 42 the the DT 10_1101-2021_01_06_425544 420 43 author author NN 10_1101-2021_01_06_425544 420 44 / / SYM 10_1101-2021_01_06_425544 420 45 funder funder NN 10_1101-2021_01_06_425544 420 46 , , , 10_1101-2021_01_06_425544 420 47 who who WP 10_1101-2021_01_06_425544 420 48 has have VBZ 10_1101-2021_01_06_425544 420 49 granted grant VBN 10_1101-2021_01_06_425544 420 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 420 51 a a DT 10_1101-2021_01_06_425544 420 52 license license NN 10_1101-2021_01_06_425544 420 53 to to TO 10_1101-2021_01_06_425544 420 54 display display VB 10_1101-2021_01_06_425544 420 55 the the DT 10_1101-2021_01_06_425544 420 56 preprint preprint NN 10_1101-2021_01_06_425544 420 57 in in IN 10_1101-2021_01_06_425544 420 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 420 59 . . . 10_1101-2021_01_06_425544 421 1 It -PRON- PRP 10_1101-2021_01_06_425544 421 2 is be VBZ 10_1101-2021_01_06_425544 421 3 made make VBN 10_1101-2021_01_06_425544 421 4 The the DT 10_1101-2021_01_06_425544 421 5 copyright copyright NN 10_1101-2021_01_06_425544 421 6 holder holder NN 10_1101-2021_01_06_425544 421 7 for for IN 10_1101-2021_01_06_425544 421 8 this this DT 10_1101-2021_01_06_425544 421 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 421 10 version version NN 10_1101-2021_01_06_425544 421 11 posted post VBD 10_1101-2021_01_06_425544 421 12 January January NNP 10_1101-2021_01_06_425544 421 13 6 6 CD 10_1101-2021_01_06_425544 421 14 , , , 10_1101-2021_01_06_425544 421 15 2021 2021 CD 10_1101-2021_01_06_425544 421 16 . . . 10_1101-2021_01_06_425544 421 17 ; ; : 10_1101-2021_01_06_425544 421 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 421 19 : : : 10_1101-2021_01_06_425544 421 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 421 21 preprint preprint NN 10_1101-2021_01_06_425544 421 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 421 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD 10_1101-2021_01_06_425544 421 24 .CC .CC NFP 10_1101-2021_01_06_425544 421 25 - - : 10_1101-2021_01_06_425544 421 26 BY by IN 10_1101-2021_01_06_425544 421 27 4.0 4.0 CD 10_1101-2021_01_06_425544 421 28 International International NNP 10_1101-2021_01_06_425544 421 29 licenseavailable licenseavailable NN 10_1101-2021_01_06_425544 421 30 under under IN 10_1101-2021_01_06_425544 421 31 a a DT 10_1101-2021_01_06_425544 421 32 ( ( -LRB- 10_1101-2021_01_06_425544 421 33 which which WDT 10_1101-2021_01_06_425544 421 34 was be VBD 10_1101-2021_01_06_425544 421 35 not not RB 10_1101-2021_01_06_425544 421 36 certified certify VBN 10_1101-2021_01_06_425544 421 37 by by IN 10_1101-2021_01_06_425544 421 38 peer peer NN 10_1101-2021_01_06_425544 421 39 review review NN 10_1101-2021_01_06_425544 421 40 ) ) -RRB- 10_1101-2021_01_06_425544 421 41 is be VBZ 10_1101-2021_01_06_425544 421 42 the the DT 10_1101-2021_01_06_425544 421 43 author author NN 10_1101-2021_01_06_425544 421 44 / / SYM 10_1101-2021_01_06_425544 421 45 funder funder NN 10_1101-2021_01_06_425544 421 46 , , , 10_1101-2021_01_06_425544 421 47 who who WP 10_1101-2021_01_06_425544 421 48 has have VBZ 10_1101-2021_01_06_425544 421 49 granted grant VBN 10_1101-2021_01_06_425544 421 50 bioRxiv biorxiv IN 10_1101-2021_01_06_425544 421 51 a a DT 10_1101-2021_01_06_425544 421 52 license license NN 10_1101-2021_01_06_425544 421 53 to to TO 10_1101-2021_01_06_425544 421 54 display display VB 10_1101-2021_01_06_425544 421 55 the the DT 10_1101-2021_01_06_425544 421 56 preprint preprint NN 10_1101-2021_01_06_425544 421 57 in in IN 10_1101-2021_01_06_425544 421 58 perpetuity perpetuity NN 10_1101-2021_01_06_425544 421 59 . . . 10_1101-2021_01_06_425544 422 1 It -PRON- PRP 10_1101-2021_01_06_425544 422 2 is be VBZ 10_1101-2021_01_06_425544 422 3 made make VBN 10_1101-2021_01_06_425544 422 4 The the DT 10_1101-2021_01_06_425544 422 5 copyright copyright NN 10_1101-2021_01_06_425544 422 6 holder holder NN 10_1101-2021_01_06_425544 422 7 for for IN 10_1101-2021_01_06_425544 422 8 this this DT 10_1101-2021_01_06_425544 422 9 preprintthis preprintthis NN 10_1101-2021_01_06_425544 422 10 version version NN 10_1101-2021_01_06_425544 422 11 posted post VBD 10_1101-2021_01_06_425544 422 12 January January NNP 10_1101-2021_01_06_425544 422 13 6 6 CD 10_1101-2021_01_06_425544 422 14 , , , 10_1101-2021_01_06_425544 422 15 2021 2021 CD 10_1101-2021_01_06_425544 422 16 . . . 10_1101-2021_01_06_425544 422 17 ; ; : 10_1101-2021_01_06_425544 422 18 https://doi.org/10.1101/2021.01.06.425544doi https://doi.org/10.1101/2021.01.06.425544doi ADD 10_1101-2021_01_06_425544 422 19 : : : 10_1101-2021_01_06_425544 422 20 bioRxiv biorxiv VB 10_1101-2021_01_06_425544 422 21 preprint preprint NN 10_1101-2021_01_06_425544 422 22 https://doi.org/10.1101/2021.01.06.425544 https://doi.org/10.1101/2021.01.06.425544 NN 10_1101-2021_01_06_425544 422 23 http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/ ADD