id sid tid token lemma pos cord-267644-guzn0peq 1 1 key key JJ cord-267644-guzn0peq 2 1 : : : cord-267644-guzn0peq 2 2 cord-267644-guzn0peq cord-267644-guzn0peq `` cord-267644-guzn0peq 2 3 authors author NNS cord-267644-guzn0peq 2 4 : : : cord-267644-guzn0peq 2 5 Livadiotis Livadiotis NNP cord-267644-guzn0peq 2 6 , , , cord-267644-guzn0peq 2 7 George George NNP cord-267644-guzn0peq 2 8 title title NN cord-267644-guzn0peq 2 9 : : : cord-267644-guzn0peq 2 10 Statistical statistical JJ cord-267644-guzn0peq 2 11 analysis analysis NN cord-267644-guzn0peq 2 12 of of IN cord-267644-guzn0peq 2 13 the the DT cord-267644-guzn0peq 2 14 impact impact NN cord-267644-guzn0peq 2 15 of of IN cord-267644-guzn0peq 2 16 environmental environmental JJ cord-267644-guzn0peq 2 17 temperature temperature NN cord-267644-guzn0peq 2 18 on on IN cord-267644-guzn0peq 2 19 the the DT cord-267644-guzn0peq 2 20 exponential exponential JJ cord-267644-guzn0peq 2 21 growth growth NN cord-267644-guzn0peq 2 22 rate rate NN cord-267644-guzn0peq 2 23 of of IN cord-267644-guzn0peq 2 24 cases case NNS cord-267644-guzn0peq 2 25 infected infect VBN cord-267644-guzn0peq 2 26 by by IN cord-267644-guzn0peq 2 27 COVID-19 covid-19 CD cord-267644-guzn0peq 2 28 date date NN cord-267644-guzn0peq 2 29 : : : cord-267644-guzn0peq 2 30 2020 2020 CD cord-267644-guzn0peq 2 31 - - HYPH cord-267644-guzn0peq 2 32 05 05 CD cord-267644-guzn0peq 2 33 - - HYPH cord-267644-guzn0peq 2 34 29 29 CD cord-267644-guzn0peq 2 35 journal journal NN cord-267644-guzn0peq 2 36 : : : cord-267644-guzn0peq 3 1 PLoS PLoS NNP cord-267644-guzn0peq 3 2 One one CD cord-267644-guzn0peq 3 3 DOI DOI NNP cord-267644-guzn0peq 3 4 : : : cord-267644-guzn0peq 3 5 10.1371 10.1371 CD cord-267644-guzn0peq 3 6 / / SYM cord-267644-guzn0peq 3 7 journal.pone.0233875 journal.pone.0233875 NNP cord-267644-guzn0peq 3 8 sha sha NNP cord-267644-guzn0peq 3 9 : : : cord-267644-guzn0peq 4 1 c143360263203fe1a39b4de88ee701345992f028 c143360263203fe1a39b4de88ee701345992f028 NNP cord-267644-guzn0peq 4 2 doc_id doc_id CD cord-267644-guzn0peq 4 3 : : : cord-267644-guzn0peq 4 4 267644 267644 CD cord-267644-guzn0peq 4 5 cord_uid cord_uid NNS cord-267644-guzn0peq 4 6 : : : cord-267644-guzn0peq 5 1 guzn0peq guzn0peq NNP cord-267644-guzn0peq 6 1 We -PRON- PRP cord-267644-guzn0peq 6 2 perform perform VBP cord-267644-guzn0peq 6 3 a a DT cord-267644-guzn0peq 6 4 statistical statistical JJ cord-267644-guzn0peq 6 5 analysis analysis NN cord-267644-guzn0peq 6 6 for for IN cord-267644-guzn0peq 6 7 understanding understand VBG cord-267644-guzn0peq 6 8 the the DT cord-267644-guzn0peq 6 9 effect effect NN cord-267644-guzn0peq 6 10 of of IN cord-267644-guzn0peq 6 11 the the DT cord-267644-guzn0peq 6 12 environmental environmental JJ cord-267644-guzn0peq 6 13 temperature temperature NN cord-267644-guzn0peq 6 14 on on IN cord-267644-guzn0peq 6 15 the the DT cord-267644-guzn0peq 6 16 exponential exponential JJ cord-267644-guzn0peq 6 17 growth growth NN cord-267644-guzn0peq 6 18 rate rate NN cord-267644-guzn0peq 6 19 of of IN cord-267644-guzn0peq 6 20 the the DT cord-267644-guzn0peq 6 21 cases case NNS cord-267644-guzn0peq 6 22 infected infect VBN cord-267644-guzn0peq 6 23 by by IN cord-267644-guzn0peq 6 24 COVID-19 COVID-19 NNP cord-267644-guzn0peq 6 25 for for IN cord-267644-guzn0peq 6 26 US US NNP cord-267644-guzn0peq 6 27 and and CC cord-267644-guzn0peq 6 28 Italian italian JJ cord-267644-guzn0peq 6 29 regions region NNS cord-267644-guzn0peq 6 30 . . . cord-267644-guzn0peq 7 1 In in IN cord-267644-guzn0peq 7 2 particular particular JJ cord-267644-guzn0peq 7 3 , , , cord-267644-guzn0peq 7 4 we -PRON- PRP cord-267644-guzn0peq 7 5 analyze analyze VBP cord-267644-guzn0peq 7 6 the the DT cord-267644-guzn0peq 7 7 datasets dataset NNS cord-267644-guzn0peq 7 8 of of IN cord-267644-guzn0peq 7 9 regional regional JJ cord-267644-guzn0peq 7 10 infected infected JJ cord-267644-guzn0peq 7 11 cases case NNS cord-267644-guzn0peq 7 12 , , , cord-267644-guzn0peq 7 13 derive derive VB cord-267644-guzn0peq 7 14 the the DT cord-267644-guzn0peq 7 15 growth growth NN cord-267644-guzn0peq 7 16 rates rate NNS cord-267644-guzn0peq 7 17 for for IN cord-267644-guzn0peq 7 18 regions region NNS cord-267644-guzn0peq 7 19 characterized characterize VBN cord-267644-guzn0peq 7 20 by by IN cord-267644-guzn0peq 7 21 a a DT cord-267644-guzn0peq 7 22 readable readable JJ cord-267644-guzn0peq 7 23 exponential exponential JJ cord-267644-guzn0peq 7 24 growth growth NN cord-267644-guzn0peq 7 25 phase phase NN cord-267644-guzn0peq 7 26 in in IN cord-267644-guzn0peq 7 27 their -PRON- PRP$ cord-267644-guzn0peq 7 28 evolution evolution NN cord-267644-guzn0peq 7 29 spread spread NN cord-267644-guzn0peq 7 30 curve curve NN cord-267644-guzn0peq 7 31 and and CC cord-267644-guzn0peq 7 32 plot plot VB cord-267644-guzn0peq 7 33 them -PRON- PRP cord-267644-guzn0peq 7 34 against against IN cord-267644-guzn0peq 7 35 the the DT cord-267644-guzn0peq 7 36 environmental environmental JJ cord-267644-guzn0peq 7 37 temperatures temperature NNS cord-267644-guzn0peq 7 38 averaged average VBD cord-267644-guzn0peq 7 39 within within IN cord-267644-guzn0peq 7 40 the the DT cord-267644-guzn0peq 7 41 same same JJ cord-267644-guzn0peq 7 42 regions region NNS cord-267644-guzn0peq 7 43 , , , cord-267644-guzn0peq 7 44 derive derive VB cord-267644-guzn0peq 7 45 the the DT cord-267644-guzn0peq 7 46 relationship relationship NN cord-267644-guzn0peq 7 47 between between IN cord-267644-guzn0peq 7 48 temperature temperature NN cord-267644-guzn0peq 7 49 and and CC cord-267644-guzn0peq 7 50 growth growth NN cord-267644-guzn0peq 7 51 rate rate NN cord-267644-guzn0peq 7 52 , , , cord-267644-guzn0peq 7 53 and and CC cord-267644-guzn0peq 7 54 evaluate evaluate VB cord-267644-guzn0peq 7 55 its -PRON- PRP$ cord-267644-guzn0peq 7 56 statistical statistical JJ cord-267644-guzn0peq 7 57 confidence confidence NN cord-267644-guzn0peq 7 58 . . . cord-267644-guzn0peq 8 1 The the DT cord-267644-guzn0peq 8 2 results result NNS cord-267644-guzn0peq 8 3 clearly clearly RB cord-267644-guzn0peq 8 4 support support VBP cord-267644-guzn0peq 8 5 the the DT cord-267644-guzn0peq 8 6 first first JJ cord-267644-guzn0peq 8 7 reported report VBN cord-267644-guzn0peq 8 8 statistically statistically RB cord-267644-guzn0peq 8 9 significant significant JJ cord-267644-guzn0peq 8 10 relationship relationship NN cord-267644-guzn0peq 8 11 of of IN cord-267644-guzn0peq 8 12 negative negative JJ cord-267644-guzn0peq 8 13 correlation correlation NN cord-267644-guzn0peq 8 14 between between IN cord-267644-guzn0peq 8 15 the the DT cord-267644-guzn0peq 8 16 average average JJ cord-267644-guzn0peq 8 17 environmental environmental JJ cord-267644-guzn0peq 8 18 temperature temperature NN cord-267644-guzn0peq 8 19 and and CC cord-267644-guzn0peq 8 20 exponential exponential JJ cord-267644-guzn0peq 8 21 growth growth NN cord-267644-guzn0peq 8 22 rates rate NNS cord-267644-guzn0peq 8 23 of of IN cord-267644-guzn0peq 8 24 the the DT cord-267644-guzn0peq 8 25 infected infected JJ cord-267644-guzn0peq 8 26 cases case NNS cord-267644-guzn0peq 8 27 . . . cord-267644-guzn0peq 9 1 The the DT cord-267644-guzn0peq 9 2 critical critical JJ cord-267644-guzn0peq 9 3 temperature temperature NN cord-267644-guzn0peq 9 4 , , , cord-267644-guzn0peq 9 5 which which WDT cord-267644-guzn0peq 9 6 eliminates eliminate VBZ cord-267644-guzn0peq 9 7 the the DT cord-267644-guzn0peq 9 8 exponential exponential JJ cord-267644-guzn0peq 9 9 growth growth NN cord-267644-guzn0peq 9 10 , , , cord-267644-guzn0peq 9 11 and and CC cord-267644-guzn0peq 9 12 thus thus RB cord-267644-guzn0peq 9 13 the the DT cord-267644-guzn0peq 9 14 COVID-19 COVID-19 NNP cord-267644-guzn0peq 9 15 spread spread NN cord-267644-guzn0peq 9 16 in in IN cord-267644-guzn0peq 9 17 US US NNP cord-267644-guzn0peq 9 18 regions region NNS cord-267644-guzn0peq 9 19 , , , cord-267644-guzn0peq 9 20 is be VBZ cord-267644-guzn0peq 9 21 estimated estimate VBN cord-267644-guzn0peq 9 22 to to TO cord-267644-guzn0peq 9 23 be be VB cord-267644-guzn0peq 9 24 T(C T(C NNP cord-267644-guzn0peq 9 25 ) ) -RRB- cord-267644-guzn0peq 9 26 = = NFP cord-267644-guzn0peq 10 1 86.1 86.1 CD cord-267644-guzn0peq 10 2 ± ± CD cord-267644-guzn0peq 10 3 4.3 4.3 CD cord-267644-guzn0peq 10 4 F(0 F(0 NNP cord-267644-guzn0peq 10 5 ) ) -RRB- cord-267644-guzn0peq 10 6 . . . cord-267644-guzn0peq 11 1 The the DT cord-267644-guzn0peq 11 2 daily daily JJ cord-267644-guzn0peq 11 3 number number NN cord-267644-guzn0peq 11 4 of of IN cord-267644-guzn0peq 11 5 new new JJ cord-267644-guzn0peq 11 6 cases case NNS cord-267644-guzn0peq 11 7 infected infect VBN cord-267644-guzn0peq 11 8 by by IN cord-267644-guzn0peq 11 9 COVID-19 COVID-19 NNP cord-267644-guzn0peq 11 10 is be VBZ cord-267644-guzn0peq 11 11 currently currently RB cord-267644-guzn0peq 11 12 exponentially exponentially RB cord-267644-guzn0peq 11 13 growing grow VBG cord-267644-guzn0peq 11 14 for for IN cord-267644-guzn0peq 11 15 most most JJS cord-267644-guzn0peq 11 16 countries country NNS cord-267644-guzn0peq 11 17 affected affect VBN cord-267644-guzn0peq 11 18 by by IN cord-267644-guzn0peq 11 19 the the DT cord-267644-guzn0peq 11 20 virus virus NN cord-267644-guzn0peq 11 21 . . . cord-267644-guzn0peq 12 1 However however RB cord-267644-guzn0peq 12 2 , , , cord-267644-guzn0peq 12 3 this this DT cord-267644-guzn0peq 12 4 exponential exponential JJ cord-267644-guzn0peq 12 5 growth growth NN cord-267644-guzn0peq 12 6 rate rate NN cord-267644-guzn0peq 12 7 varies vary VBZ cord-267644-guzn0peq 12 8 significantly significantly RB cord-267644-guzn0peq 12 9 for for IN cord-267644-guzn0peq 12 10 different different JJ cord-267644-guzn0peq 12 11 regions region NNS cord-267644-guzn0peq 12 12 over over IN cord-267644-guzn0peq 12 13 the the DT cord-267644-guzn0peq 12 14 globe globe NN cord-267644-guzn0peq 12 15 . . . cord-267644-guzn0peq 13 1 It -PRON- PRP cord-267644-guzn0peq 13 2 is be VBZ cord-267644-guzn0peq 13 3 urgent urgent JJ cord-267644-guzn0peq 13 4 and and CC cord-267644-guzn0peq 13 5 timely timely JJ cord-267644-guzn0peq 13 6 to to TO cord-267644-guzn0peq 13 7 understand understand VB cord-267644-guzn0peq 13 8 the the DT cord-267644-guzn0peq 13 9 reasons reason NNS cord-267644-guzn0peq 13 10 behind behind IN cord-267644-guzn0peq 13 11 this this DT cord-267644-guzn0peq 13 12 regional regional JJ cord-267644-guzn0peq 13 13 variation variation NN cord-267644-guzn0peq 13 14 of of IN cord-267644-guzn0peq 13 15 the the DT cord-267644-guzn0peq 13 16 exponential exponential JJ cord-267644-guzn0peq 13 17 growth growth NN cord-267644-guzn0peq 13 18 rates rate NNS cord-267644-guzn0peq 13 19 . . . cord-267644-guzn0peq 14 1 Little little JJ cord-267644-guzn0peq 14 2 information information NN cord-267644-guzn0peq 14 3 is be VBZ cord-267644-guzn0peq 14 4 known know VBN cord-267644-guzn0peq 14 5 about about IN cord-267644-guzn0peq 14 6 this this DT cord-267644-guzn0peq 14 7 matter matter NN cord-267644-guzn0peq 14 8 , , , cord-267644-guzn0peq 14 9 while while IN cord-267644-guzn0peq 14 10 there there EX cord-267644-guzn0peq 14 11 are be VBP cord-267644-guzn0peq 14 12 indications indication NNS cord-267644-guzn0peq 14 13 that that IN cord-267644-guzn0peq 14 14 the the DT cord-267644-guzn0peq 14 15 environmental environmental JJ cord-267644-guzn0peq 14 16 temperature temperature NN cord-267644-guzn0peq 14 17 may may MD cord-267644-guzn0peq 14 18 be be VB cord-267644-guzn0peq 14 19 a a DT cord-267644-guzn0peq 14 20 factor factor NN cord-267644-guzn0peq 14 21 ; ; : cord-267644-guzn0peq 14 22 for for IN cord-267644-guzn0peq 14 23 instance instance NN cord-267644-guzn0peq 14 24 , , , cord-267644-guzn0peq 14 25 northern northern JJ cord-267644-guzn0peq 14 26 and and CC cord-267644-guzn0peq 14 27 colder cold JJR cord-267644-guzn0peq 14 28 US US NNP cord-267644-guzn0peq 14 29 and and CC cord-267644-guzn0peq 14 30 Italian italian JJ cord-267644-guzn0peq 14 31 regions region NNS cord-267644-guzn0peq 14 32 experienced experience VBD cord-267644-guzn0peq 14 33 much much RB cord-267644-guzn0peq 14 34 more more JJR cord-267644-guzn0peq 14 35 incidents incident NNS cord-267644-guzn0peq 14 36 than than IN cord-267644-guzn0peq 14 37 others other NNS cord-267644-guzn0peq 14 38 . . . cord-267644-guzn0peq 15 1 Typically typically RB cord-267644-guzn0peq 15 2 , , , cord-267644-guzn0peq 15 3 the the DT cord-267644-guzn0peq 15 4 evolution evolution NN cord-267644-guzn0peq 15 5 curve curve NN cord-267644-guzn0peq 15 6 of of IN cord-267644-guzn0peq 15 7 the the DT cord-267644-guzn0peq 15 8 spread spread NN cord-267644-guzn0peq 15 9 of of IN cord-267644-guzn0peq 15 10 the the DT cord-267644-guzn0peq 15 11 coronavirus coronavirus NN cord-267644-guzn0peq 15 12 initiates initiate VBZ cord-267644-guzn0peq 15 13 with with IN cord-267644-guzn0peq 15 14 a a DT cord-267644-guzn0peq 15 15 pre pre JJ cord-267644-guzn0peq 15 16 - - JJ cord-267644-guzn0peq 15 17 exponential exponential JJ cord-267644-guzn0peq 15 18 phase phase NN cord-267644-guzn0peq 15 19 , , , cord-267644-guzn0peq 15 20 which which WDT cord-267644-guzn0peq 15 21 is be VBZ cord-267644-guzn0peq 15 22 characterized characterize VBN cord-267644-guzn0peq 15 23 by by IN cord-267644-guzn0peq 15 24 a a DT cord-267644-guzn0peq 15 25 mild mild JJ cord-267644-guzn0peq 15 26 logarithmic logarithmic JJ cord-267644-guzn0peq 15 27 growth growth NN cord-267644-guzn0peq 15 28 , , , cord-267644-guzn0peq 15 29 followed follow VBN cord-267644-guzn0peq 15 30 by by IN cord-267644-guzn0peq 15 31 the the DT cord-267644-guzn0peq 15 32 outbreak outbreak NN cord-267644-guzn0peq 15 33 , , , cord-267644-guzn0peq 15 34 that that RB cord-267644-guzn0peq 15 35 is is RB cord-267644-guzn0peq 15 36 , , , cord-267644-guzn0peq 15 37 the the DT cord-267644-guzn0peq 15 38 phase phase NN cord-267644-guzn0peq 15 39 of of IN cord-267644-guzn0peq 15 40 the the DT cord-267644-guzn0peq 15 41 exponential exponential JJ cord-267644-guzn0peq 15 42 growth growth NN cord-267644-guzn0peq 15 43 . . . cord-267644-guzn0peq 16 1 Social Social NNP cord-267644-guzn0peq 16 2 - - HYPH cord-267644-guzn0peq 16 3 distancing distance VBG cord-267644-guzn0peq 16 4 measures measure NNS cord-267644-guzn0peq 16 5 against against IN cord-267644-guzn0peq 16 6 the the DT cord-267644-guzn0peq 16 7 spread spread NN cord-267644-guzn0peq 16 8 may may MD cord-267644-guzn0peq 16 9 affect affect VB cord-267644-guzn0peq 16 10 the the DT cord-267644-guzn0peq 16 11 evolution evolution NN cord-267644-guzn0peq 16 12 curve curve NN cord-267644-guzn0peq 16 13 in in IN cord-267644-guzn0peq 16 14 a a DT cord-267644-guzn0peq 16 15 way way NN cord-267644-guzn0peq 16 16 that that IN cord-267644-guzn0peq 16 17 the the DT cord-267644-guzn0peq 16 18 exponential exponential JJ cord-267644-guzn0peq 16 19 growth growth NN cord-267644-guzn0peq 16 20 slows slow VBZ cord-267644-guzn0peq 16 21 down down RP cord-267644-guzn0peq 16 22 ( ( -LRB- cord-267644-guzn0peq 16 23 decelerated decelerated JJ cord-267644-guzn0peq 16 24 phase phase NN cord-267644-guzn0peq 16 25 ) ) -RRB- cord-267644-guzn0peq 16 26 and and CC cord-267644-guzn0peq 16 27 starts start VBZ cord-267644-guzn0peq 16 28 to to TO cord-267644-guzn0peq 16 29 decline decline VB cord-267644-guzn0peq 16 30 ( ( -LRB- cord-267644-guzn0peq 16 31 decline decline VB cord-267644-guzn0peq 16 32 or or CC cord-267644-guzn0peq 16 33 decay decay VB cord-267644-guzn0peq 16 34 phase phase NN cord-267644-guzn0peq 16 35 [ [ -LRB- cord-267644-guzn0peq 16 36 1 1 CD cord-267644-guzn0peq 16 37 ] ] -RRB- cord-267644-guzn0peq 16 38 ) ) -RRB- cord-267644-guzn0peq 16 39 , , , cord-267644-guzn0peq 16 40 depending depend VBG cord-267644-guzn0peq 16 41 though though RB cord-267644-guzn0peq 16 42 on on IN cord-267644-guzn0peq 16 43 the the DT cord-267644-guzn0peq 16 44 effectiveness effectiveness NN cord-267644-guzn0peq 16 45 and and CC cord-267644-guzn0peq 16 46 applicability applicability NN cord-267644-guzn0peq 16 47 of of IN cord-267644-guzn0peq 16 48 these these DT cord-267644-guzn0peq 16 49 measures measure NNS cord-267644-guzn0peq 16 50 . . . cord-267644-guzn0peq 17 1 However however RB cord-267644-guzn0peq 17 2 , , , cord-267644-guzn0peq 17 3 after after IN cord-267644-guzn0peq 17 4 the the DT cord-267644-guzn0peq 17 5 decline decline NN cord-267644-guzn0peq 17 6 of of IN cord-267644-guzn0peq 17 7 the the DT cord-267644-guzn0peq 17 8 spread spread NN cord-267644-guzn0peq 17 9 at at IN cord-267644-guzn0peq 17 10 some some DT cord-267644-guzn0peq 17 11 place place NN cord-267644-guzn0peq 17 12 , , , cord-267644-guzn0peq 17 13 new new JJ cord-267644-guzn0peq 17 14 infected infected JJ cord-267644-guzn0peq 17 15 cases case NNS cord-267644-guzn0peq 17 16 may may MD cord-267644-guzn0peq 17 17 outbreak outbreak VB cord-267644-guzn0peq 17 18 in in IN cord-267644-guzn0peq 17 19 other other JJ cord-267644-guzn0peq 17 20 places place NNS cord-267644-guzn0peq 17 21 , , , cord-267644-guzn0peq 17 22 marked mark VBN cord-267644-guzn0peq 17 23 with with IN cord-267644-guzn0peq 17 24 insignificant insignificant JJ cord-267644-guzn0peq 17 25 number number NN cord-267644-guzn0peq 17 26 of of IN cord-267644-guzn0peq 17 27 cases case NNS cord-267644-guzn0peq 17 28 until until IN cord-267644-guzn0peq 17 29 that that DT cord-267644-guzn0peq 17 30 moment moment NN cord-267644-guzn0peq 17 31 . . . cord-267644-guzn0peq 18 1 Then then RB cord-267644-guzn0peq 18 2 , , , cord-267644-guzn0peq 18 3 a a DT cord-267644-guzn0peq 18 4 newly newly RB cord-267644-guzn0peq 18 5 growth growth NN cord-267644-guzn0peq 18 6 phase phase NN cord-267644-guzn0peq 18 7 may may MD cord-267644-guzn0peq 18 8 appear appear VB cord-267644-guzn0peq 18 9 . . . cord-267644-guzn0peq 19 1 For for IN cord-267644-guzn0peq 19 2 example example NN cord-267644-guzn0peq 19 3 , , , cord-267644-guzn0peq 19 4 Fig Fig NNP cord-267644-guzn0peq 19 5 1 1 CD cord-267644-guzn0peq 19 6 ( ( -LRB- cord-267644-guzn0peq 19 7 left left NN cord-267644-guzn0peq 19 8 ) ) -RRB- cord-267644-guzn0peq 19 9 shows show VBZ cord-267644-guzn0peq 19 10 the the DT cord-267644-guzn0peq 19 11 evolution evolution NN cord-267644-guzn0peq 19 12 curve curve NN cord-267644-guzn0peq 19 13 of of IN cord-267644-guzn0peq 19 14 the the DT cord-267644-guzn0peq 19 15 spread spread NN cord-267644-guzn0peq 19 16 for for IN cord-267644-guzn0peq 19 17 the the DT cord-267644-guzn0peq 19 18 infected infected JJ cord-267644-guzn0peq 19 19 cases case NNS cord-267644-guzn0peq 19 20 in in IN cord-267644-guzn0peq 19 21 mainland mainland NN cord-267644-guzn0peq 19 22 China China NNP cord-267644-guzn0peq 19 23 ; ; : cord-267644-guzn0peq 19 24 clearly clearly RB cord-267644-guzn0peq 19 25 , , , cord-267644-guzn0peq 19 26 we -PRON- PRP cord-267644-guzn0peq 19 27 observe observe VBP cord-267644-guzn0peq 19 28 the the DT cord-267644-guzn0peq 19 29 whole whole JJ cord-267644-guzn0peq 19 30 growth−decay growth−decay CD cord-267644-guzn0peq 19 31 cycle cycle NN cord-267644-guzn0peq 19 32 , , , cord-267644-guzn0peq 19 33 as as RB cord-267644-guzn0peq 19 34 well well RB cord-267644-guzn0peq 19 35 as as IN cord-267644-guzn0peq 19 36 , , , cord-267644-guzn0peq 19 37 a a DT cord-267644-guzn0peq 19 38 new new JJ cord-267644-guzn0peq 19 39 re re NN cord-267644-guzn0peq 19 40 - - NN cord-267644-guzn0peq 19 41 growth growth NN cord-267644-guzn0peq 19 42 phase phase NN cord-267644-guzn0peq 19 43 . . . cord-267644-guzn0peq 20 1 Super super JJ cord-267644-guzn0peq 20 2 - - JJ cord-267644-guzn0peq 20 3 strict strict JJ cord-267644-guzn0peq 20 4 measures measure NNS cord-267644-guzn0peq 20 5 , , , cord-267644-guzn0peq 20 6 such such JJ cord-267644-guzn0peq 20 7 as as IN cord-267644-guzn0peq 20 8 complete complete JJ cord-267644-guzn0peq 20 9 shut shut NN cord-267644-guzn0peq 20 10 down down RP cord-267644-guzn0peq 20 11 and and CC cord-267644-guzn0peq 20 12 quarantines quarantine NNS cord-267644-guzn0peq 20 13 , , , cord-267644-guzn0peq 20 14 can can MD cord-267644-guzn0peq 20 15 successfully successfully RB cord-267644-guzn0peq 20 16 lead lead VB cord-267644-guzn0peq 20 17 to to IN cord-267644-guzn0peq 20 18 the the DT cord-267644-guzn0peq 20 19 deceleration deceleration NN cord-267644-guzn0peq 20 20 of of IN cord-267644-guzn0peq 20 21 the the DT cord-267644-guzn0peq 20 22 exponential exponential JJ cord-267644-guzn0peq 20 23 growth growth NN cord-267644-guzn0peq 20 24 of of IN cord-267644-guzn0peq 20 25 infected infected JJ cord-267644-guzn0peq 20 26 cases case NNS cord-267644-guzn0peq 20 27 [ [ -LRB- cord-267644-guzn0peq 20 28 2 2 CD cord-267644-guzn0peq 20 29 ] ] -RRB- cord-267644-guzn0peq 20 30 . . . cord-267644-guzn0peq 21 1 Unfortunately unfortunately RB cord-267644-guzn0peq 21 2 , , , cord-267644-guzn0peq 21 3 they -PRON- PRP cord-267644-guzn0peq 21 4 can can MD cord-267644-guzn0peq 21 5 not not RB cord-267644-guzn0peq 21 6 be be VB cord-267644-guzn0peq 21 7 successfully successfully RB cord-267644-guzn0peq 21 8 applied apply VBN cord-267644-guzn0peq 21 9 and and CC cord-267644-guzn0peq 21 10 followed follow VBN cord-267644-guzn0peq 21 11 within within IN cord-267644-guzn0peq 21 12 vast vast JJ cord-267644-guzn0peq 21 13 regions region NNS cord-267644-guzn0peq 21 14 , , , cord-267644-guzn0peq 21 15 and and CC cord-267644-guzn0peq 21 16 especially especially RB cord-267644-guzn0peq 21 17 , , , cord-267644-guzn0peq 21 18 for for IN cord-267644-guzn0peq 21 19 a a DT cord-267644-guzn0peq 21 20 long long JJ cord-267644-guzn0peq 21 21 and and CC cord-267644-guzn0peq 21 22 indefinite indefinite JJ cord-267644-guzn0peq 21 23 period period NN cord-267644-guzn0peq 21 24 of of IN cord-267644-guzn0peq 21 25 time time NN cord-267644-guzn0peq 21 26 . . . cord-267644-guzn0peq 22 1 Inevitably inevitably RB cord-267644-guzn0peq 22 2 , , , cord-267644-guzn0peq 22 3 measures measure NNS cord-267644-guzn0peq 22 4 may may MD cord-267644-guzn0peq 22 5 be be VB cord-267644-guzn0peq 22 6 loosened loosen VBN cord-267644-guzn0peq 22 7 during during IN cord-267644-guzn0peq 22 8 the the DT cord-267644-guzn0peq 22 9 decay decay NN cord-267644-guzn0peq 22 10 phase phase NN cord-267644-guzn0peq 22 11 − − CD cord-267644-guzn0peq 23 1 if if IN cord-267644-guzn0peq 23 2 not not RB cord-267644-guzn0peq 23 3 earlier early RBR cord-267644-guzn0peq 23 4 , , , cord-267644-guzn0peq 23 5 leading lead VBG cord-267644-guzn0peq 23 6 to to IN cord-267644-guzn0peq 23 7 the the DT cord-267644-guzn0peq 23 8 birth birth NN cord-267644-guzn0peq 23 9 of of IN cord-267644-guzn0peq 23 10 an an DT cord-267644-guzn0peq 23 11 equally equally RB cord-267644-guzn0peq 23 12 disastrous disastrous JJ cord-267644-guzn0peq 23 13 re re NN cord-267644-guzn0peq 23 14 - - NN cord-267644-guzn0peq 23 15 growth growth NN cord-267644-guzn0peq 23 16 phase phase NN cord-267644-guzn0peq 23 17 . . . cord-267644-guzn0peq 24 1 The the DT cord-267644-guzn0peq 24 2 exponential exponential JJ cord-267644-guzn0peq 24 3 growth growth NN cord-267644-guzn0peq 24 4 is be VBZ cord-267644-guzn0peq 24 5 the the DT cord-267644-guzn0peq 24 6 most most RBS cord-267644-guzn0peq 24 7 effective effective JJ cord-267644-guzn0peq 24 8 phase phase NN cord-267644-guzn0peq 24 9 for for IN cord-267644-guzn0peq 24 10 the the DT cord-267644-guzn0peq 24 11 evolution evolution NN cord-267644-guzn0peq 24 12 curve curve NN cord-267644-guzn0peq 24 13 of of IN cord-267644-guzn0peq 24 14 infected infected JJ cord-267644-guzn0peq 24 15 cases case NNS cord-267644-guzn0peq 24 16 ; ; : cord-267644-guzn0peq 24 17 and and CC cord-267644-guzn0peq 24 18 the the DT cord-267644-guzn0peq 24 19 most most RBS cord-267644-guzn0peq 24 20 important important JJ cord-267644-guzn0peq 24 21 question question NN cord-267644-guzn0peq 24 22 regarding regard VBG cord-267644-guzn0peq 24 23 this this DT cord-267644-guzn0peq 24 24 evolution evolution NN cord-267644-guzn0peq 24 25 is be VBZ cord-267644-guzn0peq 24 26 still still RB cord-267644-guzn0peq 24 27 open open JJ cord-267644-guzn0peq 24 28 [ [ -LRB- cord-267644-guzn0peq 24 29 3 3 CD cord-267644-guzn0peq 24 30 ] ] -RRB- cord-267644-guzn0peq 24 31 : : : cord-267644-guzn0peq 24 32 What what WP cord-267644-guzn0peq 24 33 can can MD cord-267644-guzn0peq 24 34 influence influence VB cord-267644-guzn0peq 24 35 the the DT cord-267644-guzn0peq 24 36 exponential exponential JJ cord-267644-guzn0peq 24 37 growth growth NN cord-267644-guzn0peq 24 38 rate rate NN cord-267644-guzn0peq 24 39 , , , cord-267644-guzn0peq 24 40 and and CC cord-267644-guzn0peq 24 41 thus thus RB cord-267644-guzn0peq 24 42 , , , cord-267644-guzn0peq 24 43 " " `` cord-267644-guzn0peq 24 44 flatten flatten VB cord-267644-guzn0peq 24 45 the the DT cord-267644-guzn0peq 24 46 curve curve NN cord-267644-guzn0peq 24 47 " " '' cord-267644-guzn0peq 24 48 ? ? . cord-267644-guzn0peq 25 1 Measures measure NNS cord-267644-guzn0peq 25 2 , , , cord-267644-guzn0peq 25 3 strict strict JJ cord-267644-guzn0peq 25 4 or or CC cord-267644-guzn0peq 25 5 not not RB cord-267644-guzn0peq 25 6 , , , cord-267644-guzn0peq 25 7 may may MD cord-267644-guzn0peq 25 8 affect affect VB cord-267644-guzn0peq 25 9 the the DT cord-267644-guzn0peq 25 10 evolution evolution NN cord-267644-guzn0peq 25 11 of of IN cord-267644-guzn0peq 25 12 new new JJ cord-267644-guzn0peq 25 13 infected infected JJ cord-267644-guzn0peq 25 14 cases case NNS cord-267644-guzn0peq 25 15 , , , cord-267644-guzn0peq 25 16 by by IN cord-267644-guzn0peq 25 17 shifting shift VBG cord-267644-guzn0peq 25 18 the the DT cord-267644-guzn0peq 25 19 spread spread NN cord-267644-guzn0peq 25 20 curve curve NN cord-267644-guzn0peq 25 21 from from IN cord-267644-guzn0peq 25 22 the the DT cord-267644-guzn0peq 25 23 exponential exponential NN cord-267644-guzn0peq 25 24 to to IN cord-267644-guzn0peq 25 25 the the DT cord-267644-guzn0peq 25 26 decelerated decelerated JJ cord-267644-guzn0peq 25 27 growth growth NN cord-267644-guzn0peq 25 28 . . . cord-267644-guzn0peq 26 1 It -PRON- PRP cord-267644-guzn0peq 26 2 should should MD cord-267644-guzn0peq 26 3 be be VB cord-267644-guzn0peq 26 4 noted note VBN cord-267644-guzn0peq 26 5 though though IN cord-267644-guzn0peq 26 6 that that IN cord-267644-guzn0peq 26 7 measures measure NNS cord-267644-guzn0peq 26 8 do do VBP cord-267644-guzn0peq 26 9 not not RB cord-267644-guzn0peq 26 10 affect affect VB cord-267644-guzn0peq 26 11 the the DT cord-267644-guzn0peq 26 12 exponential exponential JJ cord-267644-guzn0peq 26 13 growth growth NN cord-267644-guzn0peq 26 14 rate rate NN cord-267644-guzn0peq 26 15 itself -PRON- PRP cord-267644-guzn0peq 26 16 , , , cord-267644-guzn0peq 26 17 but but CC cord-267644-guzn0peq 26 18 only only RB cord-267644-guzn0peq 26 19 the the DT cord-267644-guzn0peq 26 20 period period NN cord-267644-guzn0peq 26 21 of of IN cord-267644-guzn0peq 26 22 time time NN cord-267644-guzn0peq 26 23 that that IN cord-267644-guzn0peq 26 24 this this DT cord-267644-guzn0peq 26 25 exponential exponential JJ cord-267644-guzn0peq 26 26 phase phase NN cord-267644-guzn0peq 26 27 applies apply VBZ cord-267644-guzn0peq 26 28 . . . cord-267644-guzn0peq 27 1 Then then RB cord-267644-guzn0peq 27 2 , , , cord-267644-guzn0peq 27 3 what what WDT cord-267644-guzn0peq 27 4 factors factor NNS cord-267644-guzn0peq 27 5 do do VBP cord-267644-guzn0peq 27 6 affect affect VB cord-267644-guzn0peq 27 7 the the DT cord-267644-guzn0peq 27 8 exponential exponential JJ cord-267644-guzn0peq 27 9 growth growth NN cord-267644-guzn0peq 27 10 rate rate NN cord-267644-guzn0peq 27 11 ? ? . cord-267644-guzn0peq 28 1 The the DT cord-267644-guzn0peq 28 2 age age NN cord-267644-guzn0peq 28 3 distribution distribution NN cord-267644-guzn0peq 28 4 in in IN cord-267644-guzn0peq 28 5 the the DT cord-267644-guzn0peq 28 6 place place NN cord-267644-guzn0peq 28 7 where where WRB cord-267644-guzn0peq 28 8 the the DT cord-267644-guzn0peq 28 9 outbreak outbreak NN cord-267644-guzn0peq 28 10 occurs occur VBZ cord-267644-guzn0peq 28 11 is be VBZ cord-267644-guzn0peq 28 12 unlikely unlikely JJ cord-267644-guzn0peq 28 13 to to TO cord-267644-guzn0peq 28 14 be be VB cord-267644-guzn0peq 28 15 a a DT cord-267644-guzn0peq 28 16 factor factor NN cord-267644-guzn0peq 28 17 ; ; : cord-267644-guzn0peq 28 18 indeed indeed RB cord-267644-guzn0peq 28 19 , , , cord-267644-guzn0peq 28 20 the the DT cord-267644-guzn0peq 28 21 number number NN cord-267644-guzn0peq 28 22 of of IN cord-267644-guzn0peq 28 23 new new JJ cord-267644-guzn0peq 28 24 cases case NNS cord-267644-guzn0peq 28 25 is be VBZ cord-267644-guzn0peq 28 26 known know VBN cord-267644-guzn0peq 28 27 to to TO cord-267644-guzn0peq 28 28 be be VB cord-267644-guzn0peq 28 29 positively positively RB cord-267644-guzn0peq 28 30 correlated correlate VBN cord-267644-guzn0peq 28 31 with with IN cord-267644-guzn0peq 28 32 age age NN cord-267644-guzn0peq 29 1 , , , cord-267644-guzn0peq 29 2 however however RB cord-267644-guzn0peq 29 3 , , , cord-267644-guzn0peq 29 4 the the DT cord-267644-guzn0peq 29 5 exponential exponential JJ cord-267644-guzn0peq 29 6 growth growth NN cord-267644-guzn0peq 29 7 rate rate NN cord-267644-guzn0peq 29 8 ( ( -LRB- cord-267644-guzn0peq 29 9 China China NNP cord-267644-guzn0peq 29 10 : : : cord-267644-guzn0peq 29 11 0.169 0.169 CD cord-267644-guzn0peq 29 12 ; ; : cord-267644-guzn0peq 29 13 US US NNP cord-267644-guzn0peq 29 14 : : : cord-267644-guzn0peq 29 15 0.121 0.121 CD cord-267644-guzn0peq 29 16 ; ; : cord-267644-guzn0peq 29 17 Italy Italy NNP cord-267644-guzn0peq 29 18 : : : cord-267644-guzn0peq 29 19 0.090 0.090 CD cord-267644-guzn0peq 29 20 -decreasing -decreasing NN cord-267644-guzn0peq 29 21 rate rate NN cord-267644-guzn0peq 29 22 ) ) -RRB- cord-267644-guzn0peq 29 23 appears appear VBZ cord-267644-guzn0peq 29 24 to to TO cord-267644-guzn0peq 29 25 be be VB cord-267644-guzn0peq 29 26 negatively negatively RB cord-267644-guzn0peq 29 27 correlated correlate VBN cord-267644-guzn0peq 29 28 to to IN cord-267644-guzn0peq 29 29 the the DT cord-267644-guzn0peq 29 30 age age NN cord-267644-guzn0peq 29 31 median median NN cord-267644-guzn0peq 29 32 of of IN cord-267644-guzn0peq 29 33 these these DT cord-267644-guzn0peq 29 34 countries country NNS cord-267644-guzn0peq 29 35 ( ( -LRB- cord-267644-guzn0peq 29 36 China China NNP cord-267644-guzn0peq 29 37 : : : cord-267644-guzn0peq 29 38 37.4 37.4 CD cord-267644-guzn0peq 29 39 ; ; : cord-267644-guzn0peq 29 40 US US NNP cord-267644-guzn0peq 29 41 : : : cord-267644-guzn0peq 29 42 38.1 38.1 CD cord-267644-guzn0peq 29 43 ; ; : cord-267644-guzn0peq 29 44 Italy Italy NNP cord-267644-guzn0peq 29 45 : : : cord-267644-guzn0peq 29 46 45.5increasing 45.5increasing CD cord-267644-guzn0peq 29 47 age age NN cord-267644-guzn0peq 29 48 ) ) -RRB- cord-267644-guzn0peq 29 49 ; ; : cord-267644-guzn0peq 29 50 hence hence RB cord-267644-guzn0peq 29 51 , , , cord-267644-guzn0peq 29 52 the the DT cord-267644-guzn0peq 29 53 age age NN cord-267644-guzn0peq 29 54 is be VBZ cord-267644-guzn0peq 29 55 likely likely RB cord-267644-guzn0peq 29 56 irrelevant irrelevant JJ cord-267644-guzn0peq 29 57 to to IN cord-267644-guzn0peq 29 58 the the DT cord-267644-guzn0peq 29 59 rate rate NN cord-267644-guzn0peq 29 60 variations variation NNS cord-267644-guzn0peq 29 61 . . . cord-267644-guzn0peq 30 1 In in IN cord-267644-guzn0peq 30 2 addition addition NN cord-267644-guzn0peq 30 3 , , , cord-267644-guzn0peq 30 4 culture culture NN cord-267644-guzn0peq 30 5 in in IN cord-267644-guzn0peq 30 6 social social JJ cord-267644-guzn0peq 30 7 activities activity NNS cord-267644-guzn0peq 30 8 may may MD cord-267644-guzn0peq 30 9 be be VB cord-267644-guzn0peq 30 10 a a DT cord-267644-guzn0peq 30 11 factor factor NN cord-267644-guzn0peq 30 12 ; ; : cord-267644-guzn0peq 30 13 for for IN cord-267644-guzn0peq 30 14 example example NN cord-267644-guzn0peq 30 15 , , , cord-267644-guzn0peq 30 16 this this DT cord-267644-guzn0peq 30 17 might may MD cord-267644-guzn0peq 30 18 be be VB cord-267644-guzn0peq 30 19 contributing contribute VBG cord-267644-guzn0peq 30 20 in in IN cord-267644-guzn0peq 30 21 the the DT cord-267644-guzn0peq 30 22 observed observed JJ cord-267644-guzn0peq 30 23 differences difference NNS cord-267644-guzn0peq 30 24 among among IN cord-267644-guzn0peq 30 25 the the DT cord-267644-guzn0peq 30 26 exponential exponential JJ cord-267644-guzn0peq 30 27 rates rate NNS cord-267644-guzn0peq 30 28 in in IN cord-267644-guzn0peq 30 29 the the DT cord-267644-guzn0peq 30 30 cases case NNS cord-267644-guzn0peq 30 31 of of IN cord-267644-guzn0peq 30 32 China China NNP cord-267644-guzn0peq 30 33 , , , cord-267644-guzn0peq 30 34 Italy Italy NNP cord-267644-guzn0peq 30 35 , , , cord-267644-guzn0peq 30 36 and and CC cord-267644-guzn0peq 30 37 US US NNP cord-267644-guzn0peq 30 38 ( ( -LRB- cord-267644-guzn0peq 30 39 Fig Fig NNP cord-267644-guzn0peq 30 40 1 1 CD cord-267644-guzn0peq 30 41 ) ) -RRB- cord-267644-guzn0peq 30 42 . . . cord-267644-guzn0peq 31 1 However however RB cord-267644-guzn0peq 31 2 , , , cord-267644-guzn0peq 31 3 what what WP cord-267644-guzn0peq 31 4 is be VBZ cord-267644-guzn0peq 31 5 causing cause VBG cord-267644-guzn0peq 31 6 the the DT cord-267644-guzn0peq 31 7 major major JJ cord-267644-guzn0peq 31 8 variation variation NN cord-267644-guzn0peq 31 9 of of IN cord-267644-guzn0peq 31 10 exponential exponential JJ cord-267644-guzn0peq 31 11 rates rate NNS cord-267644-guzn0peq 31 12 among among IN cord-267644-guzn0peq 31 13 different different JJ cord-267644-guzn0peq 31 14 regions region NNS cord-267644-guzn0peq 31 15 of of IN cord-267644-guzn0peq 31 16 the the DT cord-267644-guzn0peq 31 17 same same JJ cord-267644-guzn0peq 31 18 culture culture NN cord-267644-guzn0peq 31 19 ? ? . cord-267644-guzn0peq 32 1 It -PRON- PRP cord-267644-guzn0peq 32 2 is be VBZ cord-267644-guzn0peq 32 3 apparent apparent JJ cord-267644-guzn0peq 32 4 that that IN cord-267644-guzn0peq 32 5 culture culture NN cord-267644-guzn0peq 32 6 does do VBZ cord-267644-guzn0peq 32 7 not not RB cord-267644-guzn0peq 32 8 constitute constitute VB cord-267644-guzn0peq 32 9 the the DT cord-267644-guzn0peq 32 10 main main JJ cord-267644-guzn0peq 32 11 factor factor NN cord-267644-guzn0peq 32 12 influencing influence VBG cord-267644-guzn0peq 32 13 the the DT cord-267644-guzn0peq 32 14 exponential exponential JJ cord-267644-guzn0peq 32 15 rate rate NN cord-267644-guzn0peq 32 16 . . . cord-267644-guzn0peq 33 1 Fig fig NN cord-267644-guzn0peq 33 2 2 2 CD cord-267644-guzn0peq 33 3 shows show VBZ cord-267644-guzn0peq 33 4 the the DT cord-267644-guzn0peq 33 5 regional regional JJ cord-267644-guzn0peq 33 6 variation variation NN cord-267644-guzn0peq 33 7 of of IN cord-267644-guzn0peq 33 8 infected infected JJ cord-267644-guzn0peq 33 9 cases case NNS cord-267644-guzn0peq 33 10 ( ( -LRB- cord-267644-guzn0peq 33 11 left leave VBN cord-267644-guzn0peq 33 12 ) ) -RRB- cord-267644-guzn0peq 33 13 during during IN cord-267644-guzn0peq 33 14 the the DT cord-267644-guzn0peq 33 15 exponential exponential JJ cord-267644-guzn0peq 33 16 growth growth NN cord-267644-guzn0peq 33 17 phase phase NN cord-267644-guzn0peq 33 18 and and CC cord-267644-guzn0peq 33 19 the the DT cord-267644-guzn0peq 33 20 average average JJ cord-267644-guzn0peq 33 21 winter winter NN cord-267644-guzn0peq 33 22 temperature temperature NN cord-267644-guzn0peq 33 23 ( ( -LRB- cord-267644-guzn0peq 33 24 right right RB cord-267644-guzn0peq 33 25 ) ) -RRB- cord-267644-guzn0peq 33 26 in in IN cord-267644-guzn0peq 33 27 Italy Italy NNP cord-267644-guzn0peq 33 28 . . . cord-267644-guzn0peq 34 1 The the DT cord-267644-guzn0peq 34 2 possible possible JJ cord-267644-guzn0peq 34 3 negative negative JJ cord-267644-guzn0peq 34 4 correlation correlation NN cord-267644-guzn0peq 34 5 , , , cord-267644-guzn0peq 34 6 observed observe VBN cord-267644-guzn0peq 34 7 between between IN cord-267644-guzn0peq 34 8 regional regional JJ cord-267644-guzn0peq 34 9 number number NN cord-267644-guzn0peq 34 10 of of IN cord-267644-guzn0peq 34 11 infected infected JJ cord-267644-guzn0peq 34 12 cases case NNS cord-267644-guzn0peq 34 13 and and CC cord-267644-guzn0peq 34 14 winter winter NN cord-267644-guzn0peq 34 15 temperature temperature NN cord-267644-guzn0peq 34 16 in in IN cord-267644-guzn0peq 34 17 Italy Italy NNP cord-267644-guzn0peq 34 18 , , , cord-267644-guzn0peq 34 19 is be VBZ cord-267644-guzn0peq 34 20 an an DT cord-267644-guzn0peq 34 21 indication indication NN cord-267644-guzn0peq 34 22 of of IN cord-267644-guzn0peq 34 23 the the DT cord-267644-guzn0peq 34 24 influence influence NN cord-267644-guzn0peq 34 25 of of IN cord-267644-guzn0peq 34 26 temperature temperature NN cord-267644-guzn0peq 34 27 on on IN cord-267644-guzn0peq 34 28 the the DT cord-267644-guzn0peq 34 29 exponential exponential JJ cord-267644-guzn0peq 34 30 growth growth NN cord-267644-guzn0peq 34 31 , , , cord-267644-guzn0peq 34 32 but but CC cord-267644-guzn0peq 34 33 it -PRON- PRP cord-267644-guzn0peq 34 34 certainly certainly RB cord-267644-guzn0peq 34 35 does do VBZ cord-267644-guzn0peq 34 36 not not RB cord-267644-guzn0peq 34 37 constitute constitute VB cord-267644-guzn0peq 34 38 a a DT cord-267644-guzn0peq 34 39 necessary necessary JJ cord-267644-guzn0peq 34 40 condition condition NN cord-267644-guzn0peq 34 41 . . . cord-267644-guzn0peq 35 1 The the DT cord-267644-guzn0peq 35 2 reason reason NN cord-267644-guzn0peq 35 3 is be VBZ cord-267644-guzn0peq 35 4 that that IN cord-267644-guzn0peq 35 5 the the DT cord-267644-guzn0peq 35 6 map map NN cord-267644-guzn0peq 35 7 plots plot VBZ cord-267644-guzn0peq 35 8 the the DT cord-267644-guzn0peq 35 9 total total JJ cord-267644-guzn0peq 35 10 number number NN cord-267644-guzn0peq 35 11 of of IN cord-267644-guzn0peq 35 12 the the DT cord-267644-guzn0peq 35 13 infected infected JJ cord-267644-guzn0peq 35 14 cases case NNS cord-267644-guzn0peq 35 15 N n CD cord-267644-guzn0peq 35 16 t t NN cord-267644-guzn0peq 35 17 , , , cord-267644-guzn0peq 35 18 which which WDT cord-267644-guzn0peq 35 19 is be VBZ cord-267644-guzn0peq 35 20 not not RB cord-267644-guzn0peq 35 21 dependent dependent JJ cord-267644-guzn0peq 35 22 only only RB cord-267644-guzn0peq 35 23 on on IN cord-267644-guzn0peq 35 24 the the DT cord-267644-guzn0peq 35 25 exponential exponential JJ cord-267644-guzn0peq 35 26 growth growth NN cord-267644-guzn0peq 35 27 rate rate NN cord-267644-guzn0peq 35 28 λ λ NN cord-267644-guzn0peq 35 29 , , , cord-267644-guzn0peq 35 30 but but CC cord-267644-guzn0peq 35 31 also also RB cord-267644-guzn0peq 35 32 on on IN cord-267644-guzn0peq 35 33 the the DT cord-267644-guzn0peq 35 34 initial initial JJ cord-267644-guzn0peq 35 35 number number NN cord-267644-guzn0peq 35 36 of of IN cord-267644-guzn0peq 35 37 cases case NNS cord-267644-guzn0peq 35 38 N n CD cord-267644-guzn0peq 35 39 0 0 CD cord-267644-guzn0peq 35 40 . . . cord-267644-guzn0peq 36 1 It -PRON- PRP cord-267644-guzn0peq 36 2 is be VBZ cord-267644-guzn0peq 36 3 generally generally RB cord-267644-guzn0peq 36 4 accepted accept VBN cord-267644-guzn0peq 36 5 that that IN cord-267644-guzn0peq 36 6 the the DT cord-267644-guzn0peq 36 7 initial initial JJ cord-267644-guzn0peq 36 8 infected infected JJ cord-267644-guzn0peq 36 9 cases case NNS cord-267644-guzn0peq 36 10 in in IN cord-267644-guzn0peq 36 11 Italy Italy NNP cord-267644-guzn0peq 36 12 were be VBD cord-267644-guzn0peq 36 13 travelled travel VBN cord-267644-guzn0peq 36 14 directly directly RB cord-267644-guzn0peq 36 15 from from IN cord-267644-guzn0peq 36 16 China China NNP cord-267644-guzn0peq 36 17 ; ; : cord-267644-guzn0peq 36 18 since since IN cord-267644-guzn0peq 36 19 some some DT cord-267644-guzn0peq 36 20 destinations destination NNS cord-267644-guzn0peq 36 21 are be VBP cord-267644-guzn0peq 36 22 more more RBR cord-267644-guzn0peq 36 23 favorable favorable JJ cord-267644-guzn0peq 36 24 than than IN cord-267644-guzn0peq 36 25 others other NNS cord-267644-guzn0peq 36 26 , , , cord-267644-guzn0peq 36 27 then then RB cord-267644-guzn0peq 36 28 , , , cord-267644-guzn0peq 36 29 the the DT cord-267644-guzn0peq 36 30 initial initial JJ cord-267644-guzn0peq 36 31 number number NN cord-267644-guzn0peq 36 32 of of IN cord-267644-guzn0peq 36 33 cases case NNS cord-267644-guzn0peq 36 34 N n CD cord-267644-guzn0peq 36 35 0 0 CD cord-267644-guzn0peq 36 36 , , , cord-267644-guzn0peq 36 37 as as RB cord-267644-guzn0peq 36 38 well well RB cord-267644-guzn0peq 36 39 as as IN cord-267644-guzn0peq 36 40 the the DT cord-267644-guzn0peq 36 41 current current JJ cord-267644-guzn0peq 36 42 number number NN cord-267644-guzn0peq 36 43 of of IN cord-267644-guzn0peq 36 44 cases case NNS cord-267644-guzn0peq 36 45 N N NNP cord-267644-guzn0peq 36 46 t t NN cord-267644-guzn0peq 36 47 ( ( -LRB- cord-267644-guzn0peq 36 48 which which WDT cord-267644-guzn0peq 36 49 is be VBZ cord-267644-guzn0peq 36 50 proportional proportional JJ cord-267644-guzn0peq 36 51 to to IN cord-267644-guzn0peq 36 52 N n CD cord-267644-guzn0peq 36 53 0 0 CD cord-267644-guzn0peq 36 54 ) ) -RRB- cord-267644-guzn0peq 36 55 , , , cord-267644-guzn0peq 36 56 should should MD cord-267644-guzn0peq 36 57 be be VB cord-267644-guzn0peq 36 58 subject subject JJ cord-267644-guzn0peq 36 59 of of IN cord-267644-guzn0peq 36 60 regional regional JJ cord-267644-guzn0peq 36 61 variation variation NN cord-267644-guzn0peq 36 62 . . . cord-267644-guzn0peq 37 1 Therefore therefore RB cord-267644-guzn0peq 37 2 , , , cord-267644-guzn0peq 37 3 there there EX cord-267644-guzn0peq 37 4 is be VBZ cord-267644-guzn0peq 37 5 a a DT cord-267644-guzn0peq 37 6 non non JJ cord-267644-guzn0peq 37 7 - - JJ cord-267644-guzn0peq 37 8 negligible negligible JJ cord-267644-guzn0peq 37 9 possibility possibility NN cord-267644-guzn0peq 37 10 , , , cord-267644-guzn0peq 37 11 the the DT cord-267644-guzn0peq 37 12 observed observed JJ cord-267644-guzn0peq 37 13 regional regional JJ cord-267644-guzn0peq 37 14 variation variation NN cord-267644-guzn0peq 37 15 of of IN cord-267644-guzn0peq 37 16 the the DT cord-267644-guzn0peq 37 17 number number NN cord-267644-guzn0peq 37 18 of of IN cord-267644-guzn0peq 37 19 infected infected JJ cord-267644-guzn0peq 37 20 cases case NNS cord-267644-guzn0peq 37 21 N n CD cord-267644-guzn0peq 37 22 t t NN cord-267644-guzn0peq 37 23 to to TO cord-267644-guzn0peq 37 24 be be VB cord-267644-guzn0peq 37 25 caused cause VBN cord-267644-guzn0peq 37 26 by by IN cord-267644-guzn0peq 37 27 the the DT cord-267644-guzn0peq 37 28 regional regional JJ cord-267644-guzn0peq 37 29 distribution distribution NN cord-267644-guzn0peq 37 30 of of IN cord-267644-guzn0peq 37 31 the the DT cord-267644-guzn0peq 37 32 initial initial JJ cord-267644-guzn0peq 37 33 cases case NNS cord-267644-guzn0peq 37 34 N n CD cord-267644-guzn0peq 37 35 0 0 CD cord-267644-guzn0peq 37 36 . . . cord-267644-guzn0peq 38 1 In in IN cord-267644-guzn0peq 38 2 such such PDT cord-267644-guzn0peq 38 3 a a DT cord-267644-guzn0peq 38 4 case case NN cord-267644-guzn0peq 38 5 , , , cord-267644-guzn0peq 38 6 main main JJ cord-267644-guzn0peq 38 7 airport airport NN cord-267644-guzn0peq 38 8 cities city NNS cord-267644-guzn0peq 38 9 would would MD cord-267644-guzn0peq 38 10 have have VB cord-267644-guzn0peq 38 11 incredibly incredibly RB cord-267644-guzn0peq 38 12 high high JJ cord-267644-guzn0peq 38 13 number number NN cord-267644-guzn0peq 38 14 of of IN cord-267644-guzn0peq 38 15 infected infected JJ cord-267644-guzn0peq 38 16 cases case NNS cord-267644-guzn0peq 38 17 outplaying outplay VBG cord-267644-guzn0peq 38 18 a a DT cord-267644-guzn0peq 38 19 possible possible JJ cord-267644-guzn0peq 38 20 negative negative JJ cord-267644-guzn0peq 38 21 correlation correlation NN cord-267644-guzn0peq 38 22 of of IN cord-267644-guzn0peq 38 23 daily daily JJ cord-267644-guzn0peq 38 24 infected infected JJ cord-267644-guzn0peq 38 25 cases case NNS cord-267644-guzn0peq 38 26 with with IN cord-267644-guzn0peq 38 27 regional regional JJ cord-267644-guzn0peq 38 28 average average JJ cord-267644-guzn0peq 38 29 temperature temperature NN cord-267644-guzn0peq 38 30 T t NN cord-267644-guzn0peq 38 31 ; ; : cord-267644-guzn0peq 38 32 the the DT cord-267644-guzn0peq 38 33 latter latter JJ cord-267644-guzn0peq 38 34 may may MD cord-267644-guzn0peq 38 35 be be VB cord-267644-guzn0peq 38 36 one one CD cord-267644-guzn0peq 38 37 of of IN cord-267644-guzn0peq 38 38 the the DT cord-267644-guzn0peq 38 39 reasons reason NNS cord-267644-guzn0peq 38 40 of of IN cord-267644-guzn0peq 38 41 the the DT cord-267644-guzn0peq 38 42 high high JJ cord-267644-guzn0peq 38 43 numbers number NNS cord-267644-guzn0peq 38 44 of of IN cord-267644-guzn0peq 38 45 cases case NNS cord-267644-guzn0peq 38 46 observed observe VBN cord-267644-guzn0peq 38 47 in in IN cord-267644-guzn0peq 38 48 New New NNP cord-267644-guzn0peq 38 49 York York NNP cord-267644-guzn0peq 38 50 City City NNP cord-267644-guzn0peq 38 51 and and CC cord-267644-guzn0peq 38 52 Rome Rome NNP cord-267644-guzn0peq 38 53 . . . cord-267644-guzn0peq 39 1 On on IN cord-267644-guzn0peq 39 2 the the DT cord-267644-guzn0peq 39 3 other other JJ cord-267644-guzn0peq 39 4 hand hand NN cord-267644-guzn0peq 39 5 , , , cord-267644-guzn0peq 39 6 in in IN cord-267644-guzn0peq 39 7 their -PRON- PRP$ cord-267644-guzn0peq 39 8 letter letter NN cord-267644-guzn0peq 39 9 to to IN cord-267644-guzn0peq 39 10 the the DT cord-267644-guzn0peq 39 11 White White NNP cord-267644-guzn0peq 39 12 House House NNP cord-267644-guzn0peq 39 13 , , , cord-267644-guzn0peq 39 14 members member NNS cord-267644-guzn0peq 39 15 of of IN cord-267644-guzn0peq 39 16 a a DT cord-267644-guzn0peq 39 17 National National NNP cord-267644-guzn0peq 39 18 Academy Academy NNP cord-267644-guzn0peq 39 19 of of IN cord-267644-guzn0peq 39 20 Sciences Sciences NNP cord-267644-guzn0peq 39 21 committee committee NN cord-267644-guzn0peq 39 22 said say VBD cord-267644-guzn0peq 39 23 that that IN cord-267644-guzn0peq 39 24 " " `` cord-267644-guzn0peq 39 25 There there EX cord-267644-guzn0peq 39 26 is be VBZ cord-267644-guzn0peq 39 27 some some DT cord-267644-guzn0peq 39 28 evidence evidence NN cord-267644-guzn0peq 39 29 to to TO cord-267644-guzn0peq 39 30 suggest suggest VB cord-267644-guzn0peq 39 31 that that IN cord-267644-guzn0peq 39 32 [ [ -LRB- cord-267644-guzn0peq 39 33 coronavirus coronavirus NN cord-267644-guzn0peq 39 34 ] ] -RRB- cord-267644-guzn0peq 39 35 may may MD cord-267644-guzn0peq 39 36 transmit transmit VB cord-267644-guzn0peq 39 37 less less RBR cord-267644-guzn0peq 39 38 efficiently efficiently RB cord-267644-guzn0peq 39 39 in in IN cord-267644-guzn0peq 39 40 environments environment NNS cord-267644-guzn0peq 39 41 with with IN cord-267644-guzn0peq 39 42 higher high JJR cord-267644-guzn0peq 39 43 ambient ambient JJ cord-267644-guzn0peq 39 44 temperature temperature NN cord-267644-guzn0peq 39 45 and and CC cord-267644-guzn0peq 39 46 humidity humidity NN cord-267644-guzn0peq 39 47 ; ; : cord-267644-guzn0peq 39 48 however however RB cord-267644-guzn0peq 39 49 , , , cord-267644-guzn0peq 39 50 given give VBN cord-267644-guzn0peq 39 51 the the DT cord-267644-guzn0peq 39 52 lack lack NN cord-267644-guzn0peq 39 53 of of IN cord-267644-guzn0peq 39 54 host host NN cord-267644-guzn0peq 39 55 immunity immunity NN cord-267644-guzn0peq 39 56 globally globally RB cord-267644-guzn0peq 39 57 , , , cord-267644-guzn0peq 39 58 this this DT cord-267644-guzn0peq 39 59 reduction reduction NN cord-267644-guzn0peq 39 60 in in IN cord-267644-guzn0peq 39 61 transmission transmission NN cord-267644-guzn0peq 39 62 efficiency efficiency NN cord-267644-guzn0peq 39 63 may may MD cord-267644-guzn0peq 39 64 not not RB cord-267644-guzn0peq 39 65 lead lead VB cord-267644-guzn0peq 39 66 to to IN cord-267644-guzn0peq 39 67 a a DT cord-267644-guzn0peq 39 68 significant significant JJ cord-267644-guzn0peq 39 69 reduction reduction NN cord-267644-guzn0peq 39 70 in in IN cord-267644-guzn0peq 39 71 disease disease NN cord-267644-guzn0peq 39 72 spread spread VBD cord-267644-guzn0peq 39 73 without without IN cord-267644-guzn0peq 39 74 the the DT cord-267644-guzn0peq 39 75 concomitant concomitant JJ cord-267644-guzn0peq 39 76 adoption adoption NN cord-267644-guzn0peq 39 77 of of IN cord-267644-guzn0peq 39 78 major major JJ cord-267644-guzn0peq 39 79 public public JJ cord-267644-guzn0peq 39 80 health health NN cord-267644-guzn0peq 39 81 interventions intervention NNS cord-267644-guzn0peq 39 82 " " '' cord-267644-guzn0peq 39 83 [ [ -LRB- cord-267644-guzn0peq 39 84 4 4 CD cord-267644-guzn0peq 39 85 ] ] -RRB- cord-267644-guzn0peq 39 86 . . . cord-267644-guzn0peq 40 1 Nevertheless nevertheless RB cord-267644-guzn0peq 40 2 , , , cord-267644-guzn0peq 40 3 it -PRON- PRP cord-267644-guzn0peq 40 4 has have VBZ cord-267644-guzn0peq 40 5 to to TO cord-267644-guzn0peq 40 6 be be VB cord-267644-guzn0peq 40 7 stressed stress VBN cord-267644-guzn0peq 40 8 out out RP cord-267644-guzn0peq 40 9 that that IN cord-267644-guzn0peq 40 10 there there EX cord-267644-guzn0peq 40 11 were be VBD cord-267644-guzn0peq 40 12 no no DT cord-267644-guzn0peq 40 13 statistical statistical JJ cord-267644-guzn0peq 40 14 analyses analysis NNS cord-267644-guzn0peq 40 15 focused focus VBN cord-267644-guzn0peq 40 16 on on IN cord-267644-guzn0peq 40 17 the the DT cord-267644-guzn0peq 40 18 exponential exponential JJ cord-267644-guzn0peq 40 19 growth growth NN cord-267644-guzn0peq 40 20 rates rate NNS cord-267644-guzn0peq 40 21 of of IN cord-267644-guzn0peq 40 22 the the DT cord-267644-guzn0peq 40 23 infected infected JJ cord-267644-guzn0peq 40 24 cases case NNS cord-267644-guzn0peq 40 25 in in IN cord-267644-guzn0peq 40 26 regions region NNS cord-267644-guzn0peq 40 27 with with IN cord-267644-guzn0peq 40 28 different different JJ cord-267644-guzn0peq 40 29 temperatures temperature NNS cord-267644-guzn0peq 40 30 . . . cord-267644-guzn0peq 41 1 For for IN cord-267644-guzn0peq 41 2 instance instance NN cord-267644-guzn0peq 41 3 , , , cord-267644-guzn0peq 41 4 several several JJ cord-267644-guzn0peq 41 5 authors author NNS cord-267644-guzn0peq 41 6 ( ( -LRB- cord-267644-guzn0peq 41 7 e.g. e.g. RB cord-267644-guzn0peq 41 8 , , , cord-267644-guzn0peq 41 9 [ [ -LRB- cord-267644-guzn0peq 41 10 5 5 CD cord-267644-guzn0peq 41 11 , , , cord-267644-guzn0peq 41 12 6 6 CD cord-267644-guzn0peq 41 13 ] ] -RRB- cord-267644-guzn0peq 41 14 ) ) -RRB- cord-267644-guzn0peq 41 15 found find VBD cord-267644-guzn0peq 41 16 insignificant insignificant JJ cord-267644-guzn0peq 41 17 correlations correlation NNS cord-267644-guzn0peq 41 18 between between IN cord-267644-guzn0peq 41 19 temperatures temperature NNS cord-267644-guzn0peq 41 20 and and CC cord-267644-guzn0peq 41 21 confirmed confirm VBN cord-267644-guzn0peq 41 22 cases case NNS cord-267644-guzn0peq 41 23 . . . cord-267644-guzn0peq 42 1 However however RB cord-267644-guzn0peq 42 2 , , , cord-267644-guzn0peq 42 3 their -PRON- PRP$ cord-267644-guzn0peq 42 4 analysis analysis NN cord-267644-guzn0peq 42 5 was be VBD cord-267644-guzn0peq 42 6 performed perform VBN cord-267644-guzn0peq 42 7 on on IN cord-267644-guzn0peq 42 8 the the DT cord-267644-guzn0peq 42 9 number number NN cord-267644-guzn0peq 42 10 of of IN cord-267644-guzn0peq 42 11 the the DT cord-267644-guzn0peq 42 12 infected infected JJ cord-267644-guzn0peq 42 13 cases case NNS cord-267644-guzn0peq 42 14 N n CD cord-267644-guzn0peq 42 15 t t NN cord-267644-guzn0peq 42 16 , , , cord-267644-guzn0peq 42 17 which which WDT cord-267644-guzn0peq 42 18 is be VBZ cord-267644-guzn0peq 42 19 subject subject JJ cord-267644-guzn0peq 42 20 to to IN cord-267644-guzn0peq 42 21 the the DT cord-267644-guzn0peq 42 22 randomness randomness NN cord-267644-guzn0peq 42 23 of of IN cord-267644-guzn0peq 42 24 the the DT cord-267644-guzn0peq 42 25 initial initial JJ cord-267644-guzn0peq 42 26 cases case NNS cord-267644-guzn0peq 43 1 N n LS cord-267644-guzn0peq 43 2 0 0 NFP cord-267644-guzn0peq 43 3 as as IN cord-267644-guzn0peq 43 4 explained explain VBN cord-267644-guzn0peq 43 5 above above RB cord-267644-guzn0peq 43 6 , , , cord-267644-guzn0peq 43 7 and and CC cord-267644-guzn0peq 43 8 not not RB cord-267644-guzn0peq 43 9 Pre pre JJ cord-267644-guzn0peq 43 10 - - JJ cord-267644-guzn0peq 43 11 exponential exponential JJ cord-267644-guzn0peq 43 12 ( ( -LRB- cord-267644-guzn0peq 43 13 pre pre JJ cord-267644-guzn0peq 43 14 - - JJ cord-267644-guzn0peq 43 15 exp exp JJ cord-267644-guzn0peq 43 16 ) ) -RRB- cord-267644-guzn0peq 43 17 , , , cord-267644-guzn0peq 43 18 exponential exponential JJ cord-267644-guzn0peq 43 19 ( ( -LRB- cord-267644-guzn0peq 43 20 exp exp NN cord-267644-guzn0peq 43 21 ) ) -RRB- cord-267644-guzn0peq 43 22 growth growth NN cord-267644-guzn0peq 43 23 , , , cord-267644-guzn0peq 43 24 decelerated decelerate VBN cord-267644-guzn0peq 43 25 growth growth NN cord-267644-guzn0peq 43 26 , , , cord-267644-guzn0peq 43 27 decay decay NN cord-267644-guzn0peq 43 28 ( ( -LRB- cord-267644-guzn0peq 43 29 or or CC cord-267644-guzn0peq 43 30 decline decline NN cord-267644-guzn0peq 43 31 ) ) -RRB- cord-267644-guzn0peq 43 32 , , , cord-267644-guzn0peq 43 33 and and CC cord-267644-guzn0peq 43 34 possibly possibly RB cord-267644-guzn0peq 43 35 , , , cord-267644-guzn0peq 43 36 a a DT cord-267644-guzn0peq 43 37 re re NN cord-267644-guzn0peq 43 38 - - NN cord-267644-guzn0peq 43 39 growth growth NN cord-267644-guzn0peq 43 40 . . . cord-267644-guzn0peq 44 1 Day day NN cord-267644-guzn0peq 44 2 t t NN cord-267644-guzn0peq 44 3 = = SYM cord-267644-guzn0peq 44 4 1 1 CD cord-267644-guzn0peq 44 5 corresponds correspond VBZ cord-267644-guzn0peq 44 6 to to IN cord-267644-guzn0peq 44 7 1/15/2020 1/15/2020 CD cord-267644-guzn0peq 44 8 for for IN cord-267644-guzn0peq 44 9 China China NNP cord-267644-guzn0peq 44 10 , , , cord-267644-guzn0peq 44 11 2/20/2020 2/20/2020 CD cord-267644-guzn0peq 44 12 for for IN cord-267644-guzn0peq 44 13 Italy Italy NNP cord-267644-guzn0peq 44 14 , , , cord-267644-guzn0peq 44 15 2/27/2020 2/27/2020 CD cord-267644-guzn0peq 44 16 for for IN cord-267644-guzn0peq 44 17 US US NNP cord-267644-guzn0peq 44 18 . . . cord-267644-guzn0peq 45 1 Evolution evolution NN cord-267644-guzn0peq 45 2 in in IN cord-267644-guzn0peq 45 3 China China NNP cord-267644-guzn0peq 45 4 cases case NNS cord-267644-guzn0peq 45 5 follows follow VBZ cord-267644-guzn0peq 45 6 the the DT cord-267644-guzn0peq 45 7 whole whole JJ cord-267644-guzn0peq 45 8 growth growth NN cord-267644-guzn0peq 45 9 - - HYPH cord-267644-guzn0peq 45 10 decay decay NN cord-267644-guzn0peq 45 11 cycle cycle NN cord-267644-guzn0peq 45 12 , , , cord-267644-guzn0peq 45 13 and and CC cord-267644-guzn0peq 45 14 a a DT cord-267644-guzn0peq 45 15 new new JJ cord-267644-guzn0peq 45 16 re re NN cord-267644-guzn0peq 45 17 - - NN cord-267644-guzn0peq 45 18 growth growth NN cord-267644-guzn0peq 45 19 phase phase NN cord-267644-guzn0peq 45 20 . . . cord-267644-guzn0peq 46 1 Italian italian JJ cord-267644-guzn0peq 46 2 cases case NNS cord-267644-guzn0peq 46 3 are be VBP cord-267644-guzn0peq 46 4 characterized characterize VBN cord-267644-guzn0peq 46 5 by by IN cord-267644-guzn0peq 46 6 a a DT cord-267644-guzn0peq 46 7 milder mild JJR cord-267644-guzn0peq 46 8 exponential exponential JJ cord-267644-guzn0peq 46 9 rate rate NN cord-267644-guzn0peq 46 10 , , , cord-267644-guzn0peq 46 11 entered enter VBD cord-267644-guzn0peq 46 12 the the DT cord-267644-guzn0peq 46 13 phase phase NN cord-267644-guzn0peq 46 14 of of IN cord-267644-guzn0peq 46 15 decelerated decelerated JJ cord-267644-guzn0peq 46 16 growth growth NN cord-267644-guzn0peq 46 17 on on IN cord-267644-guzn0peq 46 18 March March NNP cord-267644-guzn0peq 46 19 12 12 CD cord-267644-guzn0peq 46 20 . . . cord-267644-guzn0peq 47 1 US US NNP cord-267644-guzn0peq 47 2 suffers suffer VBZ cord-267644-guzn0peq 47 3 with with IN cord-267644-guzn0peq 47 4 a a DT cord-267644-guzn0peq 47 5 larger large JJR cord-267644-guzn0peq 47 6 exponential exponential JJ cord-267644-guzn0peq 47 7 rate rate NN cord-267644-guzn0peq 47 8 , , , cord-267644-guzn0peq 47 9 and and CC cord-267644-guzn0peq 47 10 it -PRON- PRP cord-267644-guzn0peq 47 11 is be VBZ cord-267644-guzn0peq 47 12 not not RB cord-267644-guzn0peq 47 13 clear clear JJ cord-267644-guzn0peq 47 14 whether whether IN cord-267644-guzn0peq 47 15 has have VBZ cord-267644-guzn0peq 47 16 entered enter VBN cord-267644-guzn0peq 47 17 the the DT cord-267644-guzn0peq 47 18 decelerated decelerate VBN cord-267644-guzn0peq 47 19 growth growth NN cord-267644-guzn0peq 47 20 phase phase NN cord-267644-guzn0peq 47 21 . . . cord-267644-guzn0peq 48 1 The the DT cord-267644-guzn0peq 48 2 exponential exponential JJ cord-267644-guzn0peq 48 3 growth growth NN cord-267644-guzn0peq 48 4 rate rate NN cord-267644-guzn0peq 48 5 for for IN cord-267644-guzn0peq 48 6 China China NNP cord-267644-guzn0peq 48 7 rose rise VBD cord-267644-guzn0peq 48 8 as as RB cord-267644-guzn0peq 48 9 high high RB cord-267644-guzn0peq 48 10 as as IN cord-267644-guzn0peq 48 11 λ λ NN cord-267644-guzn0peq 48 12 = = NFP cord-267644-guzn0peq 49 1 0.169±0.017 0.169±0.017 NFP cord-267644-guzn0peq 49 2 , , , cord-267644-guzn0peq 49 3 while while IN cord-267644-guzn0peq 49 4 for for IN cord-267644-guzn0peq 49 5 Italy Italy NNP cord-267644-guzn0peq 49 6 and and CC cord-267644-guzn0peq 49 7 US US NNP cord-267644-guzn0peq 49 8 the the DT cord-267644-guzn0peq 49 9 rates rate NNS cord-267644-guzn0peq 49 10 were be VBD cord-267644-guzn0peq 49 11 λ λ NN cord-267644-guzn0peq 49 12 = = XX cord-267644-guzn0peq 50 1 0.090±0.004 0.090±0.004 CD cord-267644-guzn0peq 50 2 and and CC cord-267644-guzn0peq 50 3 0.121±0.003 0.121±0.003 CD cord-267644-guzn0peq 50 4 , , , cord-267644-guzn0peq 50 5 respectively respectively RB cord-267644-guzn0peq 51 1 ( ( -LRB- cord-267644-guzn0peq 51 2 with with IN cord-267644-guzn0peq 51 3 correlation correlation NN cord-267644-guzn0peq 51 4 coefficient coefficient NN cord-267644-guzn0peq 51 5 > > XX cord-267644-guzn0peq 51 6 0.99 0.99 CD cord-267644-guzn0peq 51 7 ) ) -RRB- cord-267644-guzn0peq 51 8 . . . cord-267644-guzn0peq 52 1 https://doi.org/10.1371/journal.pone.0233875.g001 https://doi.org/10.1371/journal.pone.0233875.g001 NNP cord-267644-guzn0peq 52 2 _SP cord-267644-guzn0peq 53 1 Impact impact NN cord-267644-guzn0peq 53 2 of of IN cord-267644-guzn0peq 53 3 environmental environmental JJ cord-267644-guzn0peq 53 4 temperature temperature NN cord-267644-guzn0peq 53 5 on on IN cord-267644-guzn0peq 53 6 growth growth NN cord-267644-guzn0peq 53 7 rate rate NN cord-267644-guzn0peq 53 8 of of IN cord-267644-guzn0peq 53 9 COVID-19 covid-19 JJ cord-267644-guzn0peq 53 10 cases case NNS cord-267644-guzn0peq 53 11 on on IN cord-267644-guzn0peq 53 12 the the DT cord-267644-guzn0peq 53 13 exponential exponential JJ cord-267644-guzn0peq 53 14 growth growth NN cord-267644-guzn0peq 53 15 rate rate NN cord-267644-guzn0peq 53 16 λ λ NN cord-267644-guzn0peq 53 17 , , , cord-267644-guzn0peq 53 18 which which WDT cord-267644-guzn0peq 53 19 is be VBZ cord-267644-guzn0peq 53 20 clearly clearly RB cord-267644-guzn0peq 53 21 dependent dependent JJ cord-267644-guzn0peq 53 22 on on IN cord-267644-guzn0peq 53 23 physical physical JJ cord-267644-guzn0peq 53 24 characteristics characteristic NNS cord-267644-guzn0peq 53 25 of of IN cord-267644-guzn0peq 53 26 the the DT cord-267644-guzn0peq 53 27 coronavirus coronavirus NN cord-267644-guzn0peq 53 28 , , , cord-267644-guzn0peq 53 29 binding bind VBG cord-267644-guzn0peq 53 30 protein protein NN cord-267644-guzn0peq 53 31 , , , cord-267644-guzn0peq 53 32 and and CC cord-267644-guzn0peq 53 33 environment environment NN cord-267644-guzn0peq 53 34 . . . cord-267644-guzn0peq 54 1 Analysis analysis NN cord-267644-guzn0peq 54 2 of of IN cord-267644-guzn0peq 54 3 regional regional JJ cord-267644-guzn0peq 54 4 cases case NNS cord-267644-guzn0peq 54 5 can can MD cord-267644-guzn0peq 54 6 show show VB cord-267644-guzn0peq 54 7 whether whether IN cord-267644-guzn0peq 54 8 the the DT cord-267644-guzn0peq 54 9 speculated speculate VBN cord-267644-guzn0peq 54 10 negative negative JJ cord-267644-guzn0peq 54 11 correlation correlation NN cord-267644-guzn0peq 54 12 between between IN cord-267644-guzn0peq 54 13 temperature temperature NN cord-267644-guzn0peq 54 14 and and CC cord-267644-guzn0peq 54 15 number number NN cord-267644-guzn0peq 54 16 of of IN cord-267644-guzn0peq 54 17 infected infected JJ cord-267644-guzn0peq 54 18 cases case NNS cord-267644-guzn0peq 54 19 is be VBZ cord-267644-guzn0peq 54 20 true true JJ cord-267644-guzn0peq 54 21 , , , cord-267644-guzn0peq 54 22 meaning mean VBG cord-267644-guzn0peq 54 23 a a DT cord-267644-guzn0peq 54 24 negative negative JJ cord-267644-guzn0peq 54 25 correlation correlation NN cord-267644-guzn0peq 54 26 between between IN cord-267644-guzn0peq 54 27 temperature temperature NN cord-267644-guzn0peq 54 28 and and CC cord-267644-guzn0peq 54 29 exponential exponential JJ cord-267644-guzn0peq 54 30 growth growth NN cord-267644-guzn0peq 54 31 rate rate NN cord-267644-guzn0peq 54 32 . . . cord-267644-guzn0peq 55 1 If if IN cord-267644-guzn0peq 55 2 the the DT cord-267644-guzn0peq 55 3 environmental environmental JJ cord-267644-guzn0peq 55 4 temperature temperature NN cord-267644-guzn0peq 55 5 plays play VBZ cord-267644-guzn0peq 55 6 indeed indeed RB cord-267644-guzn0peq 55 7 a a DT cord-267644-guzn0peq 55 8 substantial substantial JJ cord-267644-guzn0peq 55 9 role role NN cord-267644-guzn0peq 55 10 on on IN cord-267644-guzn0peq 55 11 the the DT cord-267644-guzn0peq 55 12 virus virus NN cord-267644-guzn0peq 55 13 spread spread NN cord-267644-guzn0peq 55 14 , , , cord-267644-guzn0peq 55 15 then then RB cord-267644-guzn0peq 55 16 , , , cord-267644-guzn0peq 55 17 this this DT cord-267644-guzn0peq 55 18 can can MD cord-267644-guzn0peq 55 19 provide provide VB cord-267644-guzn0peq 55 20 promising promising JJ cord-267644-guzn0peq 55 21 results result NNS cord-267644-guzn0peq 55 22 , , , cord-267644-guzn0peq 55 23 such such JJ cord-267644-guzn0peq 55 24 as as IN cord-267644-guzn0peq 55 25 , , , cord-267644-guzn0peq 55 26 the the DT cord-267644-guzn0peq 55 27 estimation estimation NN cord-267644-guzn0peq 55 28 of of IN cord-267644-guzn0peq 55 29 the the DT cord-267644-guzn0peq 55 30 critical critical JJ cord-267644-guzn0peq 55 31 temperature temperature NN cord-267644-guzn0peq 55 32 that that WDT cord-267644-guzn0peq 55 33 may may MD cord-267644-guzn0peq 55 34 eliminate eliminate VB cord-267644-guzn0peq 55 35 the the DT cord-267644-guzn0peq 55 36 number number NN cord-267644-guzn0peq 55 37 of of IN cord-267644-guzn0peq 55 38 daily daily JJ cord-267644-guzn0peq 55 39 new new JJ cord-267644-guzn0peq 55 40 cases case NNS cord-267644-guzn0peq 55 41 in in IN cord-267644-guzn0peq 55 42 heavily heavily RB cord-267644-guzn0peq 55 43 infected infect VBN cord-267644-guzn0peq 55 44 regions region NNS cord-267644-guzn0peq 55 45 . . . cord-267644-guzn0peq 56 1 The the DT cord-267644-guzn0peq 56 2 purpose purpose NN cord-267644-guzn0peq 56 3 of of IN cord-267644-guzn0peq 56 4 this this DT cord-267644-guzn0peq 56 5 paper paper NN cord-267644-guzn0peq 56 6 is be VBZ cord-267644-guzn0peq 56 7 to to TO cord-267644-guzn0peq 56 8 improve improve VB cord-267644-guzn0peq 56 9 our -PRON- PRP$ cord-267644-guzn0peq 56 10 understanding understanding NN cord-267644-guzn0peq 56 11 of of IN cord-267644-guzn0peq 56 12 the the DT cord-267644-guzn0peq 56 13 effect effect NN cord-267644-guzn0peq 56 14 of of IN cord-267644-guzn0peq 56 15 environmental environmental JJ cord-267644-guzn0peq 56 16 temperature temperature NN cord-267644-guzn0peq 56 17 on on IN cord-267644-guzn0peq 56 18 the the DT cord-267644-guzn0peq 56 19 spread spread NN cord-267644-guzn0peq 56 20 of of IN cord-267644-guzn0peq 56 21 COVID-19 covid-19 NN cord-267644-guzn0peq 56 22 and and CC cord-267644-guzn0peq 56 23 its -PRON- PRP$ cord-267644-guzn0peq 56 24 exponential exponential JJ cord-267644-guzn0peq 56 25 growth growth NN cord-267644-guzn0peq 56 26 rate rate NN cord-267644-guzn0peq 56 27 . . . cord-267644-guzn0peq 57 1 In in IN cord-267644-guzn0peq 57 2 particular particular JJ cord-267644-guzn0peq 57 3 , , , cord-267644-guzn0peq 57 4 we -PRON- PRP cord-267644-guzn0peq 57 5 calculate calculate VBP cord-267644-guzn0peq 57 6 the the DT cord-267644-guzn0peq 57 7 exponential exponential JJ cord-267644-guzn0peq 57 8 growth growth NN cord-267644-guzn0peq 57 9 rates rate NNS cord-267644-guzn0peq 57 10 of of IN cord-267644-guzn0peq 57 11 infected infected JJ cord-267644-guzn0peq 57 12 cases case NNS cord-267644-guzn0peq 57 13 for for IN cord-267644-guzn0peq 57 14 US US NNP cord-267644-guzn0peq 57 15 and and CC cord-267644-guzn0peq 57 16 Italian italian JJ cord-267644-guzn0peq 57 17 regions region NNS cord-267644-guzn0peq 57 18 , , , cord-267644-guzn0peq 57 19 derive derive VB cord-267644-guzn0peq 57 20 the the DT cord-267644-guzn0peq 57 21 relationship relationship NN cord-267644-guzn0peq 57 22 of of IN cord-267644-guzn0peq 57 23 these these DT cord-267644-guzn0peq 57 24 rates rate NNS cord-267644-guzn0peq 57 25 with with IN cord-267644-guzn0peq 57 26 the the DT cord-267644-guzn0peq 57 27 environmental environmental JJ cord-267644-guzn0peq 57 28 temperature temperature NN cord-267644-guzn0peq 57 29 , , , cord-267644-guzn0peq 57 30 evaluate evaluate VB cord-267644-guzn0peq 57 31 its -PRON- PRP$ cord-267644-guzn0peq 57 32 statistical statistical JJ cord-267644-guzn0peq 57 33 confidence confidence NN cord-267644-guzn0peq 57 34 , , , cord-267644-guzn0peq 57 35 and and CC cord-267644-guzn0peq 57 36 determine determine VB cord-267644-guzn0peq 57 37 the the DT cord-267644-guzn0peq 57 38 critical critical JJ cord-267644-guzn0peq 57 39 temperature temperature NN cord-267644-guzn0peq 57 40 that that WDT cord-267644-guzn0peq 57 41 eliminates eliminate VBZ cord-267644-guzn0peq 57 42 this this DT cord-267644-guzn0peq 57 43 rate rate NN cord-267644-guzn0peq 57 44 . . . cord-267644-guzn0peq 58 1 A a DT cord-267644-guzn0peq 58 2 standard standard JJ cord-267644-guzn0peq 58 3 model model NN cord-267644-guzn0peq 58 4 for for IN cord-267644-guzn0peq 58 5 describing describe VBG cord-267644-guzn0peq 58 6 the the DT cord-267644-guzn0peq 58 7 evolution evolution NN cord-267644-guzn0peq 58 8 of of IN cord-267644-guzn0peq 58 9 the the DT cord-267644-guzn0peq 58 10 infected infected JJ cord-267644-guzn0peq 58 11 cases case NNS cord-267644-guzn0peq 58 12 by by IN cord-267644-guzn0peq 58 13 viruses virus NNS cord-267644-guzn0peq 58 14 can can MD cord-267644-guzn0peq 58 15 be be VB cord-267644-guzn0peq 58 16 constructed construct VBN cord-267644-guzn0peq 58 17 as as IN cord-267644-guzn0peq 58 18 follows follow VBZ cord-267644-guzn0peq 58 19 where where WRB cord-267644-guzn0peq 58 20 is be VBZ cord-267644-guzn0peq 58 21 the the DT cord-267644-guzn0peq 58 22 number number NN cord-267644-guzn0peq 58 23 of of IN cord-267644-guzn0peq 58 24 total total JJ cord-267644-guzn0peq 58 25 infected infected JJ cord-267644-guzn0peq 58 26 cases case NNS cord-267644-guzn0peq 58 27 evolved evolve VBN cord-267644-guzn0peq 58 28 from from IN cord-267644-guzn0peq 58 29 the the DT cord-267644-guzn0peq 58 30 initial initial JJ cord-267644-guzn0peq 58 31 N n CD cord-267644-guzn0peq 58 32 0 0 CD cord-267644-guzn0peq 58 33 � � CD cord-267644-guzn0peq 58 34 N(0 N(0 NNP cord-267644-guzn0peq 58 35 ) ) -RRB- cord-267644-guzn0peq 58 36 cases case NNS cord-267644-guzn0peq 59 1 , , , cord-267644-guzn0peq 59 2 N N NNP cord-267644-guzn0peq 59 3 max max NNP cord-267644-guzn0peq 59 4 is be VBZ cord-267644-guzn0peq 59 5 the the DT cord-267644-guzn0peq 59 6 maximum maximum JJ cord-267644-guzn0peq 59 7 possible possible JJ cord-267644-guzn0peq 59 8 number number NN cord-267644-guzn0peq 59 9 of of IN cord-267644-guzn0peq 59 10 infected infect VBN cord-267644-guzn0peq 59 11 cass cass NNP cord-267644-guzn0peq 59 12 ; ; : cord-267644-guzn0peq 59 13 λ λ NNP cord-267644-guzn0peq 59 14 is be VBZ cord-267644-guzn0peq 59 15 the the DT cord-267644-guzn0peq 59 16 exponential exponential JJ cord-267644-guzn0peq 59 17 growth growth NN cord-267644-guzn0peq 59 18 rate rate NN cord-267644-guzn0peq 59 19 , , , cord-267644-guzn0peq 59 20 and and CC cord-267644-guzn0peq 59 21 becomes become VBZ cord-267644-guzn0peq 59 22 clear clear JJ cord-267644-guzn0peq 59 23 for for IN cord-267644-guzn0peq 59 24 x(t x(t NNP cord-267644-guzn0peq 59 25 ) ) -RRB- cord-267644-guzn0peq 59 26 < < XX cord-267644-guzn0peq 60 1 < < XX cord-267644-guzn0peq 60 2 1 1 CD cord-267644-guzn0peq 60 3 where where WRB cord-267644-guzn0peq 60 4 I -PRON- PRP cord-267644-guzn0peq 60 5 is be VBZ cord-267644-guzn0peq 60 6 negligible negligible JJ cord-267644-guzn0peq 60 7 , , , cord-267644-guzn0peq 60 8 leading lead VBG cord-267644-guzn0peq 60 9 to to IN cord-267644-guzn0peq 60 10 : : : cord-267644-guzn0peq 60 11 Typically typically RB cord-267644-guzn0peq 60 12 , , , cord-267644-guzn0peq 60 13 data datum NNS cord-267644-guzn0peq 60 14 of of IN cord-267644-guzn0peq 60 15 infected infected JJ cord-267644-guzn0peq 60 16 cases case NNS cord-267644-guzn0peq 60 17 are be VBP cord-267644-guzn0peq 60 18 daily daily RB cord-267644-guzn0peq 60 19 provided provide VBN cord-267644-guzn0peq 60 20 and and CC cord-267644-guzn0peq 60 21 updated update VBN cord-267644-guzn0peq 60 22 . . . cord-267644-guzn0peq 61 1 Thus thus RB cord-267644-guzn0peq 61 2 we -PRON- PRP cord-267644-guzn0peq 61 3 set set VBP cord-267644-guzn0peq 61 4 the the DT cord-267644-guzn0peq 61 5 readout readout NN cord-267644-guzn0peq 61 6 of of IN cord-267644-guzn0peq 61 7 N(t N(t NNP cord-267644-guzn0peq 61 8 ) ) -RRB- cord-267644-guzn0peq 61 9 on on IN cord-267644-guzn0peq 61 10 a a DT cord-267644-guzn0peq 61 11 daily daily JJ cord-267644-guzn0peq 61 12 basis basis NN cord-267644-guzn0peq 61 13 , , , cord-267644-guzn0peq 61 14 such such JJ cord-267644-guzn0peq 61 15 as as IN cord-267644-guzn0peq 61 16 : : : cord-267644-guzn0peq 61 17 N N NNP cord-267644-guzn0peq 61 18 t t NNP cord-267644-guzn0peq 61 19 � � NNP cord-267644-guzn0peq 61 20 N(t/[d N(t/[d NNP cord-267644-guzn0peq 61 21 ] ] -RRB- cord-267644-guzn0peq 61 22 ) ) -RRB- cord-267644-guzn0peq 61 23 . . . cord-267644-guzn0peq 62 1 Hence hence RB cord-267644-guzn0peq 62 2 , , , cord-267644-guzn0peq 62 3 we -PRON- PRP cord-267644-guzn0peq 62 4 may may MD cord-267644-guzn0peq 62 5 write write VB cord-267644-guzn0peq 62 6 with with IN cord-267644-guzn0peq 62 7 where where WRB cord-267644-guzn0peq 62 8 x x NN cord-267644-guzn0peq 63 1 t t NNP cord-267644-guzn0peq 63 2 � � NNP cord-267644-guzn0peq 64 1 N N NNP cord-267644-guzn0peq 64 2 t t NNP cord-267644-guzn0peq 64 3 /N /N NNP cord-267644-guzn0peq 64 4 max max NNP cord-267644-guzn0peq 64 5 with with IN cord-267644-guzn0peq 64 6 t t NN cord-267644-guzn0peq 64 7 indicating indicate VBG cord-267644-guzn0peq 64 8 the the DT cord-267644-guzn0peq 64 9 time time NN cord-267644-guzn0peq 64 10 on on IN cord-267644-guzn0peq 64 11 a a DT cord-267644-guzn0peq 64 12 daily daily JJ cord-267644-guzn0peq 64 13 basis basis NN cord-267644-guzn0peq 64 14 , , . cord-267644-guzn0peq 65 1 ( ( -LRB- cord-267644-guzn0peq 65 2 t t NNP cord-267644-guzn0peq 65 3 = = SYM cord-267644-guzn0peq 65 4 1d 1d NNP cord-267644-guzn0peq 65 5 , , , cord-267644-guzn0peq 65 6 2d 2d NNP cord-267644-guzn0peq 65 7 , , , cord-267644-guzn0peq 65 8 . . . cord-267644-guzn0peq 65 9 . . . cord-267644-guzn0peq 65 10 . . . cord-267644-guzn0peq 65 11 ) ) -RRB- cord-267644-guzn0peq 65 12 . . . cord-267644-guzn0peq 66 1 The the DT cord-267644-guzn0peq 66 2 function function NN cord-267644-guzn0peq 66 3 of of IN cord-267644-guzn0peq 66 4 negative negative JJ cord-267644-guzn0peq 66 5 feedback feedback NN cord-267644-guzn0peq 67 1 I -PRON- PRP cord-267644-guzn0peq 67 2 models model VBZ cord-267644-guzn0peq 67 3 the the DT cord-267644-guzn0peq 67 4 factors factor NNS cord-267644-guzn0peq 67 5 that that WDT cord-267644-guzn0peq 67 6 flattens flatten VBZ cord-267644-guzn0peq 67 7 the the DT cord-267644-guzn0peq 67 8 curve curve NN cord-267644-guzn0peq 67 9 , , , cord-267644-guzn0peq 67 10 such such JJ cord-267644-guzn0peq 67 11 as as IN cord-267644-guzn0peq 67 12 , , , cord-267644-guzn0peq 67 13 the the DT cord-267644-guzn0peq 67 14 measures measure NNS cord-267644-guzn0peq 67 15 taken take VBN cord-267644-guzn0peq 67 16 against against IN cord-267644-guzn0peq 67 17 spreading spread VBG cord-267644-guzn0peq 67 18 . . . cord-267644-guzn0peq 68 1 While while IN cord-267644-guzn0peq 68 2 these these DT cord-267644-guzn0peq 68 3 factors factor NNS cord-267644-guzn0peq 68 4 are be VBP cord-267644-guzn0peq 68 5 not not RB cord-267644-guzn0peq 68 6 affecting affect VBG cord-267644-guzn0peq 68 7 the the DT cord-267644-guzn0peq 68 8 exponential exponential JJ cord-267644-guzn0peq 68 9 growth growth NN cord-267644-guzn0peq 68 10 rate rate NN cord-267644-guzn0peq 68 11 λ λ NN cord-267644-guzn0peq 68 12 , , , cord-267644-guzn0peq 68 13 they -PRON- PRP cord-267644-guzn0peq 68 14 become become VBP cord-267644-guzn0peq 68 15 more more RBR cord-267644-guzn0peq 68 16 effective effective JJ cord-267644-guzn0peq 68 17 as as IN cord-267644-guzn0peq 68 18 the the DT cord-267644-guzn0peq 68 19 number number NN cord-267644-guzn0peq 68 20 of of IN cord-267644-guzn0peq 68 21 cases case NNS cord-267644-guzn0peq 68 22 increases increase NNS cord-267644-guzn0peq 68 23 , , , cord-267644-guzn0peq 68 24 getting get VBG cord-267644-guzn0peq 68 25 closer close RBR cord-267644-guzn0peq 68 26 to to IN cord-267644-guzn0peq 68 27 N n CD cord-267644-guzn0peq 68 28 max max NN cord-267644-guzn0peq 68 29 ; ; : cord-267644-guzn0peq 68 30 exponent exponent NN cord-267644-guzn0peq 68 31 b b NNP cord-267644-guzn0peq 68 32 controls control VBZ cord-267644-guzn0peq 68 33 the the DT cord-267644-guzn0peq 68 34 effectiveness effectiveness NN cord-267644-guzn0peq 68 35 of of IN cord-267644-guzn0peq 68 36 these these DT cord-267644-guzn0peq 68 37 factors factor NNS cord-267644-guzn0peq 68 38 ; ; : cord-267644-guzn0peq 68 39 strict strict JJ cord-267644-guzn0peq 68 40 { { -LRB- cord-267644-guzn0peq 68 41 loose loose JJ cord-267644-guzn0peq 68 42 } } -RRB- cord-267644-guzn0peq 68 43 measures measure NNS cord-267644-guzn0peq 68 44 correspond correspond VBP cord-267644-guzn0peq 68 45 to to IN cord-267644-guzn0peq 68 46 smaller small JJR cord-267644-guzn0peq 68 47 { { -LRB- cord-267644-guzn0peq 68 48 larger large JJR cord-267644-guzn0peq 68 49 } } -RRB- cord-267644-guzn0peq 68 50 values value NNS cord-267644-guzn0peq 68 51 of of IN cord-267644-guzn0peq 68 52 b. b. NN cord-267644-guzn0peq 68 53 As as IN cord-267644-guzn0peq 68 54 observed observe VBN cord-267644-guzn0peq 68 55 in in IN cord-267644-guzn0peq 68 56 Fig Fig NNP cord-267644-guzn0peq 68 57 3(A 3(a CD cord-267644-guzn0peq 68 58 ) ) -RRB- cord-267644-guzn0peq 68 59 , , . cord-267644-guzn0peq 69 1 stricter strict JJR cord-267644-guzn0peq 69 2 measures measure NNS cord-267644-guzn0peq 69 3 , , , cord-267644-guzn0peq 69 4 nicely nicely RB cord-267644-guzn0peq 69 5 modeled model VBN cord-267644-guzn0peq 69 6 by by IN cord-267644-guzn0peq 69 7 decreasing decrease VBG cord-267644-guzn0peq 69 8 b b NN cord-267644-guzn0peq 69 9 , , , cord-267644-guzn0peq 69 10 do do VBP cord-267644-guzn0peq 69 11 not not RB cord-267644-guzn0peq 69 12 affect affect VB cord-267644-guzn0peq 69 13 the the DT cord-267644-guzn0peq 69 14 exponential exponential JJ cord-267644-guzn0peq 69 15 rate rate NN cord-267644-guzn0peq 69 16 λ λ NN cord-267644-guzn0peq 69 17 but but CC cord-267644-guzn0peq 69 18 they -PRON- PRP cord-267644-guzn0peq 69 19 successfully successfully RB cord-267644-guzn0peq 69 20 flatten flatten VBP cord-267644-guzn0peq 69 21 the the DT cord-267644-guzn0peq 69 22 curve curve NN cord-267644-guzn0peq 69 23 . . . cord-267644-guzn0peq 70 1 However however RB cord-267644-guzn0peq 70 2 , , , cord-267644-guzn0peq 70 3 the the DT cord-267644-guzn0peq 70 4 same same JJ cord-267644-guzn0peq 70 5 can can MD cord-267644-guzn0peq 70 6 be be VB cord-267644-guzn0peq 70 7 achieved achieve VBN cord-267644-guzn0peq 70 8 by by IN cord-267644-guzn0peq 70 9 downgrading downgrade VBG cord-267644-guzn0peq 70 10 the the DT cord-267644-guzn0peq 70 11 exponential exponential JJ cord-267644-guzn0peq 70 12 growth growth NN cord-267644-guzn0peq 70 13 rate rate NN cord-267644-guzn0peq 70 14 , , , cord-267644-guzn0peq 70 15 as as IN cord-267644-guzn0peq 70 16 shown show VBN cord-267644-guzn0peq 70 17 in in IN cord-267644-guzn0peq 70 18 Fig Fig NNP cord-267644-guzn0peq 70 19 3(B 3(b CD cord-267644-guzn0peq 70 20 ) ) -RRB- cord-267644-guzn0peq 70 21 . . . cord-267644-guzn0peq 71 1 It -PRON- PRP cord-267644-guzn0peq 71 2 is be VBZ cord-267644-guzn0peq 71 3 apparent apparent JJ cord-267644-guzn0peq 71 4 , , , cord-267644-guzn0peq 71 5 then then RB cord-267644-guzn0peq 71 6 , , , cord-267644-guzn0peq 71 7 how how WRB cord-267644-guzn0peq 71 8 much much JJ cord-267644-guzn0peq 71 9 useful useful JJ cord-267644-guzn0peq 71 10 would would MD cord-267644-guzn0peq 71 11 it -PRON- PRP cord-267644-guzn0peq 71 12 be be VB cord-267644-guzn0peq 71 13 to to TO cord-267644-guzn0peq 71 14 know know VB cord-267644-guzn0peq 71 15 the the DT cord-267644-guzn0peq 71 16 factors factor NNS cord-267644-guzn0peq 71 17 that that WDT cord-267644-guzn0peq 71 18 can can MD cord-267644-guzn0peq 71 19 flatten flatten VB cord-267644-guzn0peq 71 20 the the DT cord-267644-guzn0peq 71 21 curve curve NN cord-267644-guzn0peq 71 22 by by IN cord-267644-guzn0peq 71 23 decreasing decrease VBG cord-267644-guzn0peq 71 24 directly directly RB cord-267644-guzn0peq 71 25 the the DT cord-267644-guzn0peq 71 26 exponential exponential JJ cord-267644-guzn0peq 71 27 growth growth NN cord-267644-guzn0peq 71 28 rate rate NN cord-267644-guzn0peq 71 29 , , , cord-267644-guzn0peq 71 30 instead instead RB cord-267644-guzn0peq 71 31 of of IN cord-267644-guzn0peq 71 32 applying apply VBG cord-267644-guzn0peq 71 33 stricter strict JJR cord-267644-guzn0peq 71 34 measures measure NNS cord-267644-guzn0peq 71 35 . . . cord-267644-guzn0peq 72 1 Applied apply VBN cord-267644-guzn0peq 72 2 measures measure NNS cord-267644-guzn0peq 72 3 could could MD cord-267644-guzn0peq 72 4 be be VB cord-267644-guzn0peq 72 5 loosen loosen VB cord-267644-guzn0peq 72 6 and and CC cord-267644-guzn0peq 72 7 shorter short JJR cord-267644-guzn0peq 72 8 ! ! . cord-267644-guzn0peq 73 1 Model Model NNP cord-267644-guzn0peq 73 2 ( ( -LRB- cord-267644-guzn0peq 73 3 1 1 CD cord-267644-guzn0peq 73 4 ) ) -RRB- cord-267644-guzn0peq 73 5 originates originate VBZ cord-267644-guzn0peq 73 6 from from IN cord-267644-guzn0peq 73 7 the the DT cord-267644-guzn0peq 73 8 logistic logistic NNP cord-267644-guzn0peq 73 9 map map NNP cord-267644-guzn0peq 73 10 family family NN cord-267644-guzn0peq 73 11 ( ( -LRB- cord-267644-guzn0peq 73 12 e.g. e.g. RB cord-267644-guzn0peq 73 13 , , , cord-267644-guzn0peq 73 14 [ [ -LRB- cord-267644-guzn0peq 73 15 7 7 CD cord-267644-guzn0peq 73 16 ] ] -RRB- cord-267644-guzn0peq 73 17 , , , cord-267644-guzn0peq 73 18 and and CC cord-267644-guzn0peq 73 19 references reference NNS cord-267644-guzn0peq 73 20 therein therein RB cord-267644-guzn0peq 73 21 ; ; : cord-267644-guzn0peq 73 22 [ [ -LRB- cord-267644-guzn0peq 73 23 8 8 CD cord-267644-guzn0peq 73 24 ] ] -RRB- cord-267644-guzn0peq 73 25 ) ) -RRB- cord-267644-guzn0peq 73 26 ; ; : cord-267644-guzn0peq 73 27 other other JJ cord-267644-guzn0peq 73 28 complicate complicate VB cord-267644-guzn0peq 73 29 versions version NNS cord-267644-guzn0peq 73 30 , , , cord-267644-guzn0peq 73 31 such such JJ cord-267644-guzn0peq 73 32 as as IN cord-267644-guzn0peq 73 33 , , , cord-267644-guzn0peq 73 34 the the DT cord-267644-guzn0peq 73 35 Susceptible susceptible JJ cord-267644-guzn0peq 73 36 - - HYPH cord-267644-guzn0peq 73 37 Infectious Infectious NNP cord-267644-guzn0peq 73 38 - - HYPH cord-267644-guzn0peq 73 39 Recovered recover VBN cord-267644-guzn0peq 73 40 models model NNS cord-267644-guzn0peq 73 41 ( ( -LRB- cord-267644-guzn0peq 73 42 e.g. e.g. RB cord-267644-guzn0peq 73 43 , , , cord-267644-guzn0peq 73 44 [ [ -LRB- cord-267644-guzn0peq 73 45 9 9 CD cord-267644-guzn0peq 73 46 ] ] -RRB- cord-267644-guzn0peq 73 47 ) ) -RRB- cord-267644-guzn0peq 73 48 may may MD cord-267644-guzn0peq 73 49 be be VB cord-267644-guzn0peq 73 50 expressed express VBN cord-267644-guzn0peq 73 51 by by IN cord-267644-guzn0peq 73 52 multi multi JJ cord-267644-guzn0peq 73 53 - - JJ cord-267644-guzn0peq 73 54 dimensional dimensional JJ cord-267644-guzn0peq 73 55 differential differential NN cord-267644-guzn0peq 73 56 or or CC cord-267644-guzn0peq 73 57 difference difference NN cord-267644-guzn0peq 73 58 equations equation NNS cord-267644-guzn0peq 73 59 ( ( -LRB- cord-267644-guzn0peq 73 60 e.g. e.g. RB cord-267644-guzn0peq 73 61 , , , cord-267644-guzn0peq 73 62 [ [ -LRB- cord-267644-guzn0peq 73 63 10 10 CD cord-267644-guzn0peq 73 64 ] ] -RRB- cord-267644-guzn0peq 73 65 , , , cord-267644-guzn0peq 73 66 and and CC cord-267644-guzn0peq 73 67 references reference NNS cord-267644-guzn0peq 73 68 therein therein RB cord-267644-guzn0peq 73 69 ; ; : cord-267644-guzn0peq 73 70 [ [ -LRB- cord-267644-guzn0peq 73 71 11 11 CD cord-267644-guzn0peq 73 72 ] ] -RRB- cord-267644-guzn0peq 73 73 ) ) -RRB- cord-267644-guzn0peq 73 74 , , , cord-267644-guzn0peq 73 75 but but CC cord-267644-guzn0peq 73 76 still still RB cord-267644-guzn0peq 73 77 , , , cord-267644-guzn0peq 73 78 the the DT cord-267644-guzn0peq 73 79 curve curve NN cord-267644-guzn0peq 73 80 flattening flattening NN cord-267644-guzn0peq 73 81 is be VBZ cord-267644-guzn0peq 73 82 governed govern VBN cord-267644-guzn0peq 73 83 by by IN cord-267644-guzn0peq 73 84 the the DT cord-267644-guzn0peq 73 85 same same JJ cord-267644-guzn0peq 73 86 features feature NNS cord-267644-guzn0peq 73 87 . . . cord-267644-guzn0peq 74 1 The the DT cord-267644-guzn0peq 74 2 two two CD cord-267644-guzn0peq 74 3 composites composite NNS cord-267644-guzn0peq 74 4 , , , cord-267644-guzn0peq 74 5 the the DT cord-267644-guzn0peq 74 6 exponential exponential JJ cord-267644-guzn0peq 74 7 growth growth NN cord-267644-guzn0peq 74 8 E E NNS cord-267644-guzn0peq 74 9 and and CC cord-267644-guzn0peq 74 10 the the DT cord-267644-guzn0peq 74 11 negative negative JJ cord-267644-guzn0peq 74 12 feedback feedback NN cord-267644-guzn0peq 75 1 I -PRON- PRP cord-267644-guzn0peq 75 2 , , , cord-267644-guzn0peq 75 3 are be VBP cord-267644-guzn0peq 75 4 just just RB cord-267644-guzn0peq 75 5 the the DT cord-267644-guzn0peq 75 6 main main JJ cord-267644-guzn0peq 75 7 and and CC cord-267644-guzn0peq 75 8 necessary necessary JJ cord-267644-guzn0peq 75 9 conditions condition NNS cord-267644-guzn0peq 75 10 for for IN cord-267644-guzn0peq 75 11 reproducing reproduce VBG cord-267644-guzn0peq 75 12 the the DT cord-267644-guzn0peq 75 13 growth growth NN cord-267644-guzn0peq 75 14 - - HYPH cord-267644-guzn0peq 75 15 decay decay NN cord-267644-guzn0peq 75 16 phases phase NNS cord-267644-guzn0peq 75 17 of of IN cord-267644-guzn0peq 75 18 the the DT cord-267644-guzn0peq 75 19 spread spread NN cord-267644-guzn0peq 75 20 curve curve NN cord-267644-guzn0peq 75 21 . . . cord-267644-guzn0peq 76 1 Their -PRON- PRP$ cord-267644-guzn0peq 76 2 interplay interplay NN cord-267644-guzn0peq 76 3 shows show VBZ cord-267644-guzn0peq 76 4 how how WRB cord-267644-guzn0peq 76 5 the the DT cord-267644-guzn0peq 76 6 spread spread NN cord-267644-guzn0peq 76 7 curve curve NN cord-267644-guzn0peq 76 8 can can MD cord-267644-guzn0peq 76 9 be be VB cord-267644-guzn0peq 76 10 flattened flatten VBN cord-267644-guzn0peq 76 11 as as IN cord-267644-guzn0peq 76 12 a a DT cord-267644-guzn0peq 76 13 result result NN cord-267644-guzn0peq 76 14 of of IN cord-267644-guzn0peq 76 15 stricter strict JJR cord-267644-guzn0peq 76 16 measures measure NNS cord-267644-guzn0peq 76 17 , , , cord-267644-guzn0peq 76 18 independently independently RB cord-267644-guzn0peq 76 19 of of IN cord-267644-guzn0peq 76 20 the the DT cord-267644-guzn0peq 76 21 existent existent JJ cord-267644-guzn0peq 76 22 exponential exponential JJ cord-267644-guzn0peq 76 23 rate rate NN cord-267644-guzn0peq 76 24 . . . cord-267644-guzn0peq 77 1 What what WP cord-267644-guzn0peq 77 2 are be VBP cord-267644-guzn0peq 77 3 the the DT cord-267644-guzn0peq 77 4 main main JJ cord-267644-guzn0peq 77 5 factors factor NNS cord-267644-guzn0peq 77 6 that that WDT cord-267644-guzn0peq 77 7 can can MD cord-267644-guzn0peq 77 8 affect affect VB cord-267644-guzn0peq 77 9 the the DT cord-267644-guzn0peq 77 10 exponential exponential JJ cord-267644-guzn0peq 77 11 growth growth NN cord-267644-guzn0peq 77 12 rate rate NN cord-267644-guzn0peq 77 13 λ λ NN cord-267644-guzn0peq 77 14 of of IN cord-267644-guzn0peq 77 15 COVID-19 COVID-19 NNP cord-267644-guzn0peq 77 16 spread spread NN cord-267644-guzn0peq 77 17 ? ? . cord-267644-guzn0peq 78 1 The the DT cord-267644-guzn0peq 78 2 rate rate NN cord-267644-guzn0peq 78 3 λ λ NN cord-267644-guzn0peq 78 4 is be VBZ cord-267644-guzn0peq 78 5 expected expect VBN cord-267644-guzn0peq 78 6 to to TO cord-267644-guzn0peq 78 7 have have VB cord-267644-guzn0peq 78 8 positive positive JJ cord-267644-guzn0peq 78 9 correlation correlation NN cord-267644-guzn0peq 78 10 with with IN cord-267644-guzn0peq 78 11 the the DT cord-267644-guzn0peq 78 12 reproduction reproduction NN cord-267644-guzn0peq 78 13 number number NN cord-267644-guzn0peq 78 14 R r NN cord-267644-guzn0peq 78 15 0 0 CD cord-267644-guzn0peq 78 16 ( ( -LRB- cord-267644-guzn0peq 78 17 e.g. e.g. RB cord-267644-guzn0peq 78 18 , , , cord-267644-guzn0peq 78 19 proportional proportional JJ cord-267644-guzn0peq 78 20 to to IN cord-267644-guzn0peq 78 21 its -PRON- PRP$ cord-267644-guzn0peq 78 22 logarithm logarithm NN cord-267644-guzn0peq 78 23 ) ) -RRB- cord-267644-guzn0peq 78 24 , , , cord-267644-guzn0peq 78 25 and and CC cord-267644-guzn0peq 78 26 negative negative JJ cord-267644-guzn0peq 78 27 correlation correlation NN cord-267644-guzn0peq 78 28 with with IN cord-267644-guzn0peq 78 29 the the DT cord-267644-guzn0peq 78 30 incubation incubation NN cord-267644-guzn0peq 78 31 period period NN cord-267644-guzn0peq 78 32 τ τ NN cord-267644-guzn0peq 78 33 ( ( -LRB- cord-267644-guzn0peq 78 34 e.g. e.g. RB cord-267644-guzn0peq 78 35 , , , cord-267644-guzn0peq 78 36 inverse inverse JJ cord-267644-guzn0peq 78 37 proportional proportional NN cord-267644-guzn0peq 78 38 ) ) -RRB- cord-267644-guzn0peq 78 39 [ [ -LRB- cord-267644-guzn0peq 78 40 12 12 CD cord-267644-guzn0peq 78 41 ] ] -RRB- cord-267644-guzn0peq 78 42 . . . cord-267644-guzn0peq 79 1 The the DT cord-267644-guzn0peq 79 2 number number NN cord-267644-guzn0peq 79 3 R r NN cord-267644-guzn0peq 79 4 0 0 CD cord-267644-guzn0peq 79 5 is be VBZ cord-267644-guzn0peq 79 6 a a DT cord-267644-guzn0peq 79 7 measure measure NN cord-267644-guzn0peq 79 8 of of IN cord-267644-guzn0peq 79 9 how how WRB cord-267644-guzn0peq 79 10 contagious contagious JJ cord-267644-guzn0peq 79 11 a a DT cord-267644-guzn0peq 79 12 disease disease NN cord-267644-guzn0peq 79 13 is be VBZ cord-267644-guzn0peq 79 14 ; ; : cord-267644-guzn0peq 79 15 it -PRON- PRP cord-267644-guzn0peq 79 16 provides provide VBZ cord-267644-guzn0peq 79 17 the the DT cord-267644-guzn0peq 79 18 average average JJ cord-267644-guzn0peq 79 19 number number NN cord-267644-guzn0peq 79 20 of of IN cord-267644-guzn0peq 79 21 people people NNS cord-267644-guzn0peq 79 22 in in IN cord-267644-guzn0peq 79 23 a a DT cord-267644-guzn0peq 79 24 susceptible susceptible JJ cord-267644-guzn0peq 79 25 population population NN cord-267644-guzn0peq 79 26 that that WDT cord-267644-guzn0peq 79 27 a a DT cord-267644-guzn0peq 79 28 single single JJ cord-267644-guzn0peq 79 29 infected infected JJ cord-267644-guzn0peq 79 30 person person NN cord-267644-guzn0peq 79 31 will will MD cord-267644-guzn0peq 79 32 spread spread VB cord-267644-guzn0peq 79 33 the the DT cord-267644-guzn0peq 79 34 disease disease NN cord-267644-guzn0peq 79 35 over over IN cord-267644-guzn0peq 79 36 the the DT cord-267644-guzn0peq 79 37 course course NN cord-267644-guzn0peq 79 38 of of IN cord-267644-guzn0peq 79 39 their -PRON- PRP$ cord-267644-guzn0peq 79 40 infection infection NN cord-267644-guzn0peq 79 41 [ [ -LRB- cord-267644-guzn0peq 79 42 9 9 CD cord-267644-guzn0peq 79 43 ] ] -RRB- cord-267644-guzn0peq 79 44 , , , cord-267644-guzn0peq 79 45 and and CC cord-267644-guzn0peq 79 46 depends depend VBZ cord-267644-guzn0peq 79 47 on on IN cord-267644-guzn0peq 79 48 the the DT cord-267644-guzn0peq 79 49 physical physical JJ cord-267644-guzn0peq 79 50 characteristics characteristic NNS cord-267644-guzn0peq 79 51 of of IN cord-267644-guzn0peq 79 52 coronavirus coronavirus NN cord-267644-guzn0peq 79 53 [ [ -LRB- cord-267644-guzn0peq 79 54 13 13 CD cord-267644-guzn0peq 79 55 ] ] -RRB- cord-267644-guzn0peq 79 56 . . . cord-267644-guzn0peq 80 1 The the DT cord-267644-guzn0peq 80 2 incubation incubation NN cord-267644-guzn0peq 80 3 period period NN cord-267644-guzn0peq 80 4 τ τ NN cord-267644-guzn0peq 80 5 is be VBZ cord-267644-guzn0peq 80 6 the the DT cord-267644-guzn0peq 80 7 time time NN cord-267644-guzn0peq 80 8 elapsed elapse VBN cord-267644-guzn0peq 80 9 between between IN cord-267644-guzn0peq 80 10 exposure exposure NN cord-267644-guzn0peq 80 11 to to IN cord-267644-guzn0peq 80 12 coronavirus coronavirus NN cord-267644-guzn0peq 80 13 and and CC cord-267644-guzn0peq 80 14 first first JJ cord-267644-guzn0peq 80 15 symptoms symptom NNS cord-267644-guzn0peq 80 16 ; ; : cord-267644-guzn0peq 80 17 during during IN cord-267644-guzn0peq 80 18 this this DT cord-267644-guzn0peq 80 19 period period NN cord-267644-guzn0peq 80 20 , , , cord-267644-guzn0peq 80 21 an an DT cord-267644-guzn0peq 80 22 infected infected JJ cord-267644-guzn0peq 80 23 individual individual NN cord-267644-guzn0peq 80 24 can can MD cord-267644-guzn0peq 80 25 not not RB cord-267644-guzn0peq 80 26 infect infect VB cord-267644-guzn0peq 80 27 others other NNS cord-267644-guzn0peq 80 28 ; ; : cord-267644-guzn0peq 80 29 other other JJ cord-267644-guzn0peq 80 30 characteristic characteristic JJ cord-267644-guzn0peq 80 31 periods period NNS cord-267644-guzn0peq 80 32 and and CC cord-267644-guzn0peq 80 33 time time NN cord-267644-guzn0peq 80 34 intervals interval NNS cord-267644-guzn0peq 80 35 are be VBP cord-267644-guzn0peq 80 36 the the DT cord-267644-guzn0peq 80 37 latent latent JJ cord-267644-guzn0peq 80 38 period period NN cord-267644-guzn0peq 80 39 between between IN cord-267644-guzn0peq 80 40 exposure exposure NN cord-267644-guzn0peq 80 41 and and CC cord-267644-guzn0peq 80 42 infection infection NN cord-267644-guzn0peq 80 43 , , , cord-267644-guzn0peq 80 44 and and CC cord-267644-guzn0peq 80 45 the the DT cord-267644-guzn0peq 80 46 generation generation NN cord-267644-guzn0peq 80 47 time time NN cord-267644-guzn0peq 80 48 , , , cord-267644-guzn0peq 80 49 mostly mostly RB cord-267644-guzn0peq 80 50 concerned concern VBN cord-267644-guzn0peq 80 51 with with IN cord-267644-guzn0peq 80 52 transmission transmission NN cord-267644-guzn0peq 80 53 process process NN cord-267644-guzn0peq 80 54 [ [ -LRB- cord-267644-guzn0peq 80 55 14 14 CD cord-267644-guzn0peq 80 56 ] ] -RRB- cord-267644-guzn0peq 80 57 . . . cord-267644-guzn0peq 81 1 Characteristic characteristic JJ cord-267644-guzn0peq 81 2 values value NNS cord-267644-guzn0peq 81 3 for for IN cord-267644-guzn0peq 81 4 COVID-19 COVID-19 NNP cord-267644-guzn0peq 81 5 are be VBP cord-267644-guzn0peq 81 6 τ~5 τ~5 NNP cord-267644-guzn0peq 81 7 - - SYM cord-267644-guzn0peq 81 8 6 6 CD cord-267644-guzn0peq 81 9 days day NNS cord-267644-guzn0peq 81 10 and and CC cord-267644-guzn0peq 81 11 R r NN cord-267644-guzn0peq 81 12 0~2 0~2 CD cord-267644-guzn0peq 81 13 -4 -4 . cord-267644-guzn0peq 82 1 [ [ -LRB- cord-267644-guzn0peq 82 2 15 15 CD cord-267644-guzn0peq 82 3 ] ] -RRB- cord-267644-guzn0peq 82 4 . . . cord-267644-guzn0peq 83 1 The the DT cord-267644-guzn0peq 83 2 rate rate NN cord-267644-guzn0peq 83 3 expression expression NN cord-267644-guzn0peq 83 4 can can MD cord-267644-guzn0peq 83 5 be be VB cord-267644-guzn0peq 83 6 written write VBN cord-267644-guzn0peq 83 7 as as IN cord-267644-guzn0peq 83 8 λ λ NN cord-267644-guzn0peq 83 9 / / SYM cord-267644-guzn0peq 83 10 lnR lnr CD cord-267644-guzn0peq 83 11 0 0 NFP cord-267644-guzn0peq 83 12 /τ /τ NNP cord-267644-guzn0peq 83 13 , , , cord-267644-guzn0peq 83 14 and and CC cord-267644-guzn0peq 83 15 involves involve VBZ cord-267644-guzn0peq 83 16 all all PDT cord-267644-guzn0peq 83 17 the the DT cord-267644-guzn0peq 83 18 physical physical JJ cord-267644-guzn0peq 83 19 characteristics characteristic NNS cord-267644-guzn0peq 83 20 of of IN cord-267644-guzn0peq 83 21 the the DT cord-267644-guzn0peq 83 22 mechanisms mechanism NNS cord-267644-guzn0peq 83 23 of of IN cord-267644-guzn0peq 83 24 infection infection NN cord-267644-guzn0peq 83 25 and and CC cord-267644-guzn0peq 83 26 the the DT cord-267644-guzn0peq 83 27 environmental environmental JJ cord-267644-guzn0peq 83 28 interactions interaction NNS cord-267644-guzn0peq 83 29 ; ; : cord-267644-guzn0peq 83 30 this this DT cord-267644-guzn0peq 83 31 can can MD cord-267644-guzn0peq 83 32 be be VB cord-267644-guzn0peq 83 33 easily easily RB cord-267644-guzn0peq 83 34 derived derive VBN cord-267644-guzn0peq 83 35 , , , cord-267644-guzn0peq 83 36 considering consider VBG cord-267644-guzn0peq 83 37 difference difference NN cord-267644-guzn0peq 83 38 equations equation NNS cord-267644-guzn0peq 83 39 ( ( -LRB- cord-267644-guzn0peq 83 40 that that RB cord-267644-guzn0peq 83 41 is is RB cord-267644-guzn0peq 83 42 , , , cord-267644-guzn0peq 83 43 iterated iterate VBN cord-267644-guzn0peq 83 44 discrete discrete JJ cord-267644-guzn0peq 83 45 maps map NNS cord-267644-guzn0peq 83 46 ) ) -RRB- cord-267644-guzn0peq 83 47 ( ( -LRB- cord-267644-guzn0peq 83 48 e.g. e.g. RB cord-267644-guzn0peq 83 49 , , , cord-267644-guzn0peq 83 50 see see VB cord-267644-guzn0peq 83 51 : : : cord-267644-guzn0peq 83 52 [ [ -LRB- cord-267644-guzn0peq 83 53 16 16 CD cord-267644-guzn0peq 83 54 ] ] -RRB- cord-267644-guzn0peq 83 55 [ [ -LRB- cord-267644-guzn0peq 83 56 17 17 CD cord-267644-guzn0peq 83 57 ] ] -RRB- cord-267644-guzn0peq 83 58 [ [ -LRB- cord-267644-guzn0peq 83 59 18 18 CD cord-267644-guzn0peq 83 60 ] ] -RRB- cord-267644-guzn0peq 83 61 ) ) -RRB- cord-267644-guzn0peq 83 62 . . . cord-267644-guzn0peq 84 1 Setting set VBG cord-267644-guzn0peq 84 2 the the DT cord-267644-guzn0peq 84 3 time time NN cord-267644-guzn0peq 84 4 to to TO cord-267644-guzn0peq 84 5 be be VB cord-267644-guzn0peq 84 6 given give VBN cord-267644-guzn0peq 84 7 in in IN cord-267644-guzn0peq 84 8 discrete discrete JJ cord-267644-guzn0peq 84 9 τ τ NN cord-267644-guzn0peq 84 10 - - HYPH cord-267644-guzn0peq 84 11 steps step NNS cord-267644-guzn0peq 84 12 ( ( -LRB- cord-267644-guzn0peq 84 13 t t NNP cord-267644-guzn0peq 84 14 = = SYM cord-267644-guzn0peq 84 15 1τ 1τ NNP cord-267644-guzn0peq 84 16 , , , cord-267644-guzn0peq 84 17 2τ 2τ CD cord-267644-guzn0peq 84 18 , , , cord-267644-guzn0peq 84 19 . . . cord-267644-guzn0peq 84 20 . . . cord-267644-guzn0peq 84 21 . . . cord-267644-guzn0peq 84 22 ) ) -RRB- cord-267644-guzn0peq 84 23 , , , cord-267644-guzn0peq 84 24 then then RB cord-267644-guzn0peq 84 25 , , , cord-267644-guzn0peq 84 26 by by IN cord-267644-guzn0peq 84 27 definition definition NN cord-267644-guzn0peq 84 28 of of IN cord-267644-guzn0peq 84 29 R r NN cord-267644-guzn0peq 84 30 0 0 CD cord-267644-guzn0peq 84 31 ( ( -LRB- cord-267644-guzn0peq 84 32 average average JJ cord-267644-guzn0peq 84 33 number number NN cord-267644-guzn0peq 84 34 of of IN cord-267644-guzn0peq 84 35 people people NNS cord-267644-guzn0peq 84 36 that that WDT cord-267644-guzn0peq 84 37 a a DT cord-267644-guzn0peq 84 38 single single JJ cord-267644-guzn0peq 84 39 infected infected JJ cord-267644-guzn0peq 84 40 person person NN cord-267644-guzn0peq 84 41 will will MD cord-267644-guzn0peq 84 42 spread spread VB cord-267644-guzn0peq 84 43 the the DT cord-267644-guzn0peq 84 44 disease disease NN cord-267644-guzn0peq 84 45 ) ) -RRB- cord-267644-guzn0peq 84 46 , , , cord-267644-guzn0peq 84 47 we -PRON- PRP cord-267644-guzn0peq 84 48 have have VBP cord-267644-guzn0peq 84 49 N n CD cord-267644-guzn0peq 84 50 t t NN cord-267644-guzn0peq 84 51 = = SYM cord-267644-guzn0peq 84 52 R r NN cord-267644-guzn0peq 84 53 0 0 CD cord-267644-guzn0peq 84 54 N N NNP cord-267644-guzn0peq 84 55 t−τ t−τ NNP cord-267644-guzn0peq 84 56 , , , cord-267644-guzn0peq 84 57 that that RB cord-267644-guzn0peq 84 58 is is RB cord-267644-guzn0peq 84 59 , , , cord-267644-guzn0peq 84 60 We -PRON- PRP cord-267644-guzn0peq 84 61 note note VBP cord-267644-guzn0peq 84 62 that that IN cord-267644-guzn0peq 84 63 the the DT cord-267644-guzn0peq 84 64 number number NN cord-267644-guzn0peq 84 65 of of IN cord-267644-guzn0peq 84 66 the the DT cord-267644-guzn0peq 84 67 infected infected JJ cord-267644-guzn0peq 84 68 cases case NNS cord-267644-guzn0peq 84 69 does do VBZ cord-267644-guzn0peq 84 70 not not RB cord-267644-guzn0peq 84 71 vary vary VB cord-267644-guzn0peq 84 72 for for IN cord-267644-guzn0peq 84 73 times time NNS cord-267644-guzn0peq 84 74 t t NN cord-267644-guzn0peq 84 75 taken take VBN cord-267644-guzn0peq 84 76 in in RB cord-267644-guzn0peq 84 77 - - HYPH cord-267644-guzn0peq 84 78 between between IN cord-267644-guzn0peq 84 79 the the DT cord-267644-guzn0peq 84 80 integer integer NN cord-267644-guzn0peq 84 81 multiples multiple NNS cord-267644-guzn0peq 84 82 of of IN cord-267644-guzn0peq 84 83 τ τ NN cord-267644-guzn0peq 84 84 , , , cord-267644-guzn0peq 84 85 but but CC cord-267644-guzn0peq 84 86 this this DT cord-267644-guzn0peq 84 87 is be VBZ cord-267644-guzn0peq 84 88 not not RB cord-267644-guzn0peq 84 89 expected expect VBN cord-267644-guzn0peq 84 90 in in IN cord-267644-guzn0peq 84 91 mixtures mixture NNS cord-267644-guzn0peq 84 92 of of IN cord-267644-guzn0peq 84 93 populations population NNS cord-267644-guzn0peq 84 94 with with IN cord-267644-guzn0peq 84 95 random random JJ cord-267644-guzn0peq 84 96 characteristics characteristic NNS cord-267644-guzn0peq 84 97 . . . cord-267644-guzn0peq 85 1 Indeed indeed RB cord-267644-guzn0peq 85 2 , , , cord-267644-guzn0peq 85 3 in in IN cord-267644-guzn0peq 85 4 a a DT cord-267644-guzn0peq 85 5 mixture mixture NN cord-267644-guzn0peq 85 6 of of IN cord-267644-guzn0peq 85 7 M M NNP cord-267644-guzn0peq 85 8 evolving evolve VBG cord-267644-guzn0peq 85 9 infected infected JJ cord-267644-guzn0peq 85 10 populations population NNS cord-267644-guzn0peq 85 11 with with IN cord-267644-guzn0peq 85 12 different different JJ cord-267644-guzn0peq 85 13 initial initial JJ cord-267644-guzn0peq 85 14 number number NN cord-267644-guzn0peq 85 15 of of IN cord-267644-guzn0peq 85 16 cases case NNS cord-267644-guzn0peq 85 17 N n CD cord-267644-guzn0peq 85 18 0 0 CD cord-267644-guzn0peq 85 19 ( ( -LRB- cord-267644-guzn0peq 85 20 m m NNP cord-267644-guzn0peq 85 21 ) ) -RRB- cord-267644-guzn0peq 85 22 and and CC cord-267644-guzn0peq 85 23 starting start VBG cord-267644-guzn0peq 85 24 times times CC cord-267644-guzn0peq 85 25 t t NNP cord-267644-guzn0peq 85 26 0 0 CD cord-267644-guzn0peq 85 27 ( ( -LRB- cord-267644-guzn0peq 85 28 m m NNP cord-267644-guzn0peq 85 29 ) ) -RRB- cord-267644-guzn0peq 85 30 , , , cord-267644-guzn0peq 85 31 m m NNP cord-267644-guzn0peq 85 32 = = SYM cord-267644-guzn0peq 85 33 1 1 CD cord-267644-guzn0peq 85 34 , , , cord-267644-guzn0peq 85 35 2 2 CD cord-267644-guzn0peq 85 36 , , , cord-267644-guzn0peq 85 37 . . . cord-267644-guzn0peq 85 38 . . . cord-267644-guzn0peq 85 39 . . . cord-267644-guzn0peq 86 1 , , , cord-267644-guzn0peq 86 2 M M NNP cord-267644-guzn0peq 86 3 , , , cord-267644-guzn0peq 86 4 the the DT cord-267644-guzn0peq 86 5 total total JJ cord-267644-guzn0peq 86 6 number number NN cord-267644-guzn0peq 86 7 of of IN cord-267644-guzn0peq 86 8 infected infected JJ cord-267644-guzn0peq 86 9 cases case NNS cord-267644-guzn0peq 86 10 N n CD cord-267644-guzn0peq 86 11 at at IN cord-267644-guzn0peq 86 12 a a DT cord-267644-guzn0peq 86 13 continuous continuous JJ cord-267644-guzn0peq 86 14 time time NN cord-267644-guzn0peq 86 15 t t NN cord-267644-guzn0peq 86 16 is be VBZ cord-267644-guzn0peq 86 17 given give VBN cord-267644-guzn0peq 86 18 by by IN cord-267644-guzn0peq 86 19 which which WDT cord-267644-guzn0peq 86 20 coincides coincide VBZ cord-267644-guzn0peq 86 21 with with IN cord-267644-guzn0peq 86 22 ( ( -LRB- cord-267644-guzn0peq 86 23 3b 3b NNP cord-267644-guzn0peq 86 24 ) ) -RRB- cord-267644-guzn0peq 86 25 , , , cord-267644-guzn0peq 86 26 but but CC cord-267644-guzn0peq 86 27 with with IN cord-267644-guzn0peq 86 28 time time NN cord-267644-guzn0peq 86 29 t t NN cord-267644-guzn0peq 86 30 varying vary VBG cord-267644-guzn0peq 86 31 on on IN cord-267644-guzn0peq 86 32 a a DT cord-267644-guzn0peq 86 33 daily daily JJ cord-267644-guzn0peq 86 34 basis basis NN cord-267644-guzn0peq 86 35 , , , cord-267644-guzn0peq 86 36 independently independently RB cord-267644-guzn0peq 86 37 of of IN cord-267644-guzn0peq 86 38 the the DT cord-267644-guzn0peq 86 39 larger large JJR cord-267644-guzn0peq 86 40 value value NN cord-267644-guzn0peq 86 41 of of IN cord-267644-guzn0peq 86 42 τ~5 τ~5 NNP cord-267644-guzn0peq 86 43 days day NNS cord-267644-guzn0peq 86 44 [ [ -LRB- cord-267644-guzn0peq 86 45 15 15 CD cord-267644-guzn0peq 86 46 ] ] -RRB- cord-267644-guzn0peq 86 47 . . . cord-267644-guzn0peq 87 1 Therefore therefore RB cord-267644-guzn0peq 87 2 , , , cord-267644-guzn0peq 87 3 we -PRON- PRP cord-267644-guzn0peq 87 4 set set VBD cord-267644-guzn0peq 87 5 the the DT cord-267644-guzn0peq 87 6 readout readout NN cord-267644-guzn0peq 87 7 of of IN cord-267644-guzn0peq 87 8 the the DT cord-267644-guzn0peq 87 9 total total JJ cord-267644-guzn0peq 87 10 number number NN cord-267644-guzn0peq 87 11 of of IN cord-267644-guzn0peq 87 12 infected infected JJ cord-267644-guzn0peq 87 13 cases case NNS cord-267644-guzn0peq 87 14 N n CD cord-267644-guzn0peq 87 15 on on IN cord-267644-guzn0peq 87 16 a a DT cord-267644-guzn0peq 87 17 daily daily JJ cord-267644-guzn0peq 87 18 basis basis NN cord-267644-guzn0peq 87 19 , , , cord-267644-guzn0peq 87 20 such such JJ cord-267644-guzn0peq 87 21 as as IN cord-267644-guzn0peq 87 22 : : : cord-267644-guzn0peq 87 23 ; ; : cord-267644-guzn0peq 87 24 then then RB cord-267644-guzn0peq 87 25 , , , cord-267644-guzn0peq 87 26 Eq Eq NNP cord-267644-guzn0peq 87 27 ( ( -LRB- cord-267644-guzn0peq 87 28 3D 3D NNP cord-267644-guzn0peq 87 29 ) ) -RRB- cord-267644-guzn0peq 87 30 matches match NNS cord-267644-guzn0peq 88 1 Eq Eq NNP cord-267644-guzn0peq 88 2 ( ( -LRB- cord-267644-guzn0peq 88 3 2B 2B NNP cord-267644-guzn0peq 88 4 ) ) -RRB- cord-267644-guzn0peq 88 5 , , , cord-267644-guzn0peq 88 6 where where WRB cord-267644-guzn0peq 88 7 the the DT cord-267644-guzn0peq 88 8 exponential exponential JJ cord-267644-guzn0peq 88 9 rate rate NN cord-267644-guzn0peq 88 10 is be VBZ cord-267644-guzn0peq 88 11 given give VBN cord-267644-guzn0peq 88 12 by by IN cord-267644-guzn0peq 88 13 : : : cord-267644-guzn0peq 88 14 The the DT cord-267644-guzn0peq 88 15 main main JJ cord-267644-guzn0peq 88 16 factors factor NNS cord-267644-guzn0peq 88 17 that that WDT cord-267644-guzn0peq 88 18 can can MD cord-267644-guzn0peq 88 19 affect affect VB cord-267644-guzn0peq 88 20 the the DT cord-267644-guzn0peq 88 21 exponential exponential JJ cord-267644-guzn0peq 88 22 rate rate NN cord-267644-guzn0peq 88 23 λ λ NN cord-267644-guzn0peq 88 24 are be VBP cord-267644-guzn0peq 88 25 : : : cord-267644-guzn0peq 88 26 ( ( -LRB- cord-267644-guzn0peq 88 27 a a DT cord-267644-guzn0peq 88 28 ) ) -RRB- cord-267644-guzn0peq 88 29 culture culture NN cord-267644-guzn0peq 88 30 in in IN cord-267644-guzn0peq 88 31 social social JJ cord-267644-guzn0peq 88 32 activities activity NNS cord-267644-guzn0peq 88 33 , , , cord-267644-guzn0peq 88 34 and and CC cord-267644-guzn0peq 88 35 ( ( -LRB- cord-267644-guzn0peq 88 36 b b NN cord-267644-guzn0peq 88 37 ) ) -RRB- cord-267644-guzn0peq 88 38 environmental environmental JJ cord-267644-guzn0peq 88 39 temperature temperature NN cord-267644-guzn0peq 88 40 and/or and/or CC cord-267644-guzn0peq 88 41 other other JJ cord-267644-guzn0peq 88 42 thermodynamic thermodynamic JJ cord-267644-guzn0peq 88 43 parameters parameter NNS cord-267644-guzn0peq 88 44 . . . cord-267644-guzn0peq 89 1 Intense intense JJ cord-267644-guzn0peq 89 2 cultural cultural JJ cord-267644-guzn0peq 89 3 and and CC cord-267644-guzn0peq 89 4 social social JJ cord-267644-guzn0peq 89 5 activities activity NNS cord-267644-guzn0peq 89 6 have have VBP cord-267644-guzn0peq 89 7 reasonably reasonably RB cord-267644-guzn0peq 89 8 a a DT cord-267644-guzn0peq 89 9 positive positive JJ cord-267644-guzn0peq 89 10 correlation correlation NN cord-267644-guzn0peq 89 11 with with IN cord-267644-guzn0peq 89 12 R r NN cord-267644-guzn0peq 89 13 0 0 CD cord-267644-guzn0peq 89 14 . . . cord-267644-guzn0peq 90 1 As as IN cord-267644-guzn0peq 90 2 previously previously RB cord-267644-guzn0peq 90 3 mentioned mention VBN cord-267644-guzn0peq 90 4 , , , cord-267644-guzn0peq 90 5 measures measure NNS cord-267644-guzn0peq 90 6 against against IN cord-267644-guzn0peq 90 7 the the DT cord-267644-guzn0peq 90 8 virus virus NN cord-267644-guzn0peq 90 9 spread spread VBN cord-267644-guzn0peq 90 10 do do VBP cord-267644-guzn0peq 90 11 not not RB cord-267644-guzn0peq 90 12 effectively effectively RB cord-267644-guzn0peq 90 13 influence influence VB cord-267644-guzn0peq 90 14 the the DT cord-267644-guzn0peq 90 15 exponential exponential JJ cord-267644-guzn0peq 90 16 growth growth NN cord-267644-guzn0peq 90 17 rate rate NN cord-267644-guzn0peq 90 18 ; ; : cord-267644-guzn0peq 90 19 e.g. e.g. RB cord-267644-guzn0peq 90 20 , , , cord-267644-guzn0peq 90 21 they -PRON- PRP cord-267644-guzn0peq 90 22 do do VBP cord-267644-guzn0peq 90 23 not not RB cord-267644-guzn0peq 90 24 change change VB cord-267644-guzn0peq 90 25 the the DT cord-267644-guzn0peq 90 26 culture culture NN cord-267644-guzn0peq 90 27 in in IN cord-267644-guzn0peq 90 28 social social JJ cord-267644-guzn0peq 90 29 activities activity NNS cord-267644-guzn0peq 90 30 , , , cord-267644-guzn0peq 90 31 which which WDT cord-267644-guzn0peq 90 32 are be VBP cord-267644-guzn0peq 90 33 characteristics characteristic NNS cord-267644-guzn0peq 90 34 of of IN cord-267644-guzn0peq 90 35 the the DT cord-267644-guzn0peq 90 36 particular particular JJ cord-267644-guzn0peq 90 37 population population NN cord-267644-guzn0peq 90 38 , , , cord-267644-guzn0peq 90 39 but but CC cord-267644-guzn0peq 90 40 they -PRON- PRP cord-267644-guzn0peq 90 41 just just RB cord-267644-guzn0peq 90 42 cease cease VBP cord-267644-guzn0peq 90 43 these these DT cord-267644-guzn0peq 90 44 social social JJ cord-267644-guzn0peq 90 45 activities activity NNS cord-267644-guzn0peq 90 46 for for IN cord-267644-guzn0peq 90 47 some some DT cord-267644-guzn0peq 90 48 period period NN cord-267644-guzn0peq 90 49 of of IN cord-267644-guzn0peq 90 50 time time NN cord-267644-guzn0peq 90 51 . . . cord-267644-guzn0peq 91 1 In in IN cord-267644-guzn0peq 91 2 terms term NNS cord-267644-guzn0peq 91 3 of of IN cord-267644-guzn0peq 91 4 modeling modeling NN cord-267644-guzn0peq 91 5 , , , cord-267644-guzn0peq 91 6 measures measure NNS cord-267644-guzn0peq 91 7 appear appear VBP cord-267644-guzn0peq 91 8 only only RB cord-267644-guzn0peq 91 9 in in IN cord-267644-guzn0peq 91 10 the the DT cord-267644-guzn0peq 91 11 negative negative JJ cord-267644-guzn0peq 91 12 feedback feedback NN cord-267644-guzn0peq 91 13 factor factor NN cord-267644-guzn0peq 91 14 I -PRON- PRP cord-267644-guzn0peq 91 15 and and CC cord-267644-guzn0peq 91 16 not not RB cord-267644-guzn0peq 91 17 in in IN cord-267644-guzn0peq 91 18 the the DT cord-267644-guzn0peq 91 19 E e NN cord-267644-guzn0peq 91 20 factor factor NN cord-267644-guzn0peq 91 21 of of IN cord-267644-guzn0peq 91 22 model model NN cord-267644-guzn0peq 91 23 in in IN cord-267644-guzn0peq 91 24 Eq Eq NNP cord-267644-guzn0peq 91 25 ( ( -LRB- cord-267644-guzn0peq 91 26 1 1 CD cord-267644-guzn0peq 91 27 ) ) -RRB- cord-267644-guzn0peq 91 28 , , , cord-267644-guzn0peq 91 29 while while IN cord-267644-guzn0peq 91 30 the the DT cord-267644-guzn0peq 91 31 culture culture NN cord-267644-guzn0peq 91 32 , , , cord-267644-guzn0peq 91 33 together together RB cord-267644-guzn0peq 91 34 with with IN cord-267644-guzn0peq 91 35 the the DT cord-267644-guzn0peq 91 36 environmental environmental JJ cord-267644-guzn0peq 91 37 temperature temperature NN cord-267644-guzn0peq 91 38 , , , cord-267644-guzn0peq 91 39 are be VBP cord-267644-guzn0peq 91 40 the the DT cord-267644-guzn0peq 91 41 two two CD cord-267644-guzn0peq 91 42 main main JJ cord-267644-guzn0peq 91 43 parameters parameter NNS cord-267644-guzn0peq 91 44 affecting affect VBG cord-267644-guzn0peq 91 45 R r NN cord-267644-guzn0peq 91 46 0 0 CD cord-267644-guzn0peq 91 47 directly directly RB cord-267644-guzn0peq 91 48 . . . cord-267644-guzn0peq 92 1 Potentially potentially RB cord-267644-guzn0peq 92 2 , , , cord-267644-guzn0peq 92 3 the the DT cord-267644-guzn0peq 92 4 environmental environmental JJ cord-267644-guzn0peq 92 5 temperature temperature NN cord-267644-guzn0peq 92 6 T t NN cord-267644-guzn0peq 92 7 can can MD cord-267644-guzn0peq 92 8 affect affect VB cord-267644-guzn0peq 92 9 all all PDT cord-267644-guzn0peq 92 10 the the DT cord-267644-guzn0peq 92 11 parameters parameter NNS cord-267644-guzn0peq 92 12 influencing influence VBG cord-267644-guzn0peq 92 13 exponential exponential JJ cord-267644-guzn0peq 92 14 rate rate NN cord-267644-guzn0peq 92 15 . . . cord-267644-guzn0peq 93 1 We -PRON- PRP cord-267644-guzn0peq 93 2 approach approach VBP cord-267644-guzn0peq 93 3 this this DT cord-267644-guzn0peq 93 4 dependence dependence NN cord-267644-guzn0peq 93 5 by by IN cord-267644-guzn0peq 93 6 ( ( -LRB- cord-267644-guzn0peq 93 7 i i NN cord-267644-guzn0peq 93 8 ) ) -RRB- cord-267644-guzn0peq 93 9 a a DT cord-267644-guzn0peq 93 10 linear linear JJ cord-267644-guzn0peq 93 11 approximation approximation NN cord-267644-guzn0peq 93 12 of of IN cord-267644-guzn0peq 93 13 the the DT cord-267644-guzn0peq 93 14 phenomenological phenomenological JJ cord-267644-guzn0peq 93 15 relationship relationship NN cord-267644-guzn0peq 93 16 between between IN cord-267644-guzn0peq 93 17 exponential exponential JJ cord-267644-guzn0peq 93 18 rate rate NN cord-267644-guzn0peq 93 19 and and CC cord-267644-guzn0peq 93 20 temperature temperature NN cord-267644-guzn0peq 93 21 , , , cord-267644-guzn0peq 93 22 and and CC cord-267644-guzn0peq 93 23 ( ( -LRB- cord-267644-guzn0peq 93 24 ii ii NN cord-267644-guzn0peq 93 25 ) ) -RRB- cord-267644-guzn0peq 94 1 the the DT cord-267644-guzn0peq 94 2 connection connection NN cord-267644-guzn0peq 94 3 of of IN cord-267644-guzn0peq 94 4 reproduction reproduction NN cord-267644-guzn0peq 94 5 number number NN cord-267644-guzn0peq 94 6 with with IN cord-267644-guzn0peq 94 7 Arrhenius Arrhenius NNP cord-267644-guzn0peq 94 8 behavior behavior NN cord-267644-guzn0peq 94 9 ( ( -LRB- cord-267644-guzn0peq 94 10 with with IN cord-267644-guzn0peq 94 11 negative negative JJ cord-267644-guzn0peq 94 12 activation activation NN cord-267644-guzn0peq 94 13 energy energy NN cord-267644-guzn0peq 94 14 ) ) -RRB- cord-267644-guzn0peq 94 15 : : : cord-267644-guzn0peq 95 1 ( ( -LRB- cord-267644-guzn0peq 95 2 i i NN cord-267644-guzn0peq 95 3 ) ) -RRB- cord-267644-guzn0peq 96 1 The the DT cord-267644-guzn0peq 96 2 temperature temperature NN cord-267644-guzn0peq 96 3 can can MD cord-267644-guzn0peq 96 4 affect affect VB cord-267644-guzn0peq 96 5 the the DT cord-267644-guzn0peq 96 6 physical physical JJ cord-267644-guzn0peq 96 7 properties property NNS cord-267644-guzn0peq 96 8 of of IN cord-267644-guzn0peq 96 9 coronavirus coronavirus NN cord-267644-guzn0peq 96 10 , , , cord-267644-guzn0peq 96 11 such such JJ cord-267644-guzn0peq 96 12 as as IN cord-267644-guzn0peq 96 13 , , , cord-267644-guzn0peq 96 14 the the DT cord-267644-guzn0peq 96 15 incubation incubation NN cord-267644-guzn0peq 96 16 time time NN cord-267644-guzn0peq 96 17 τ τ NN cord-267644-guzn0peq 96 18 , , , cord-267644-guzn0peq 96 19 as as RB cord-267644-guzn0peq 96 20 well well RB cord-267644-guzn0peq 96 21 as as IN cord-267644-guzn0peq 96 22 , , , cord-267644-guzn0peq 96 23 the the DT cord-267644-guzn0peq 96 24 reproduction reproduction NN cord-267644-guzn0peq 96 25 number number NN cord-267644-guzn0peq 96 26 R r NN cord-267644-guzn0peq 96 27 0 0 CD cord-267644-guzn0peq 96 28 that that WDT cord-267644-guzn0peq 96 29 depends depend VBZ cord-267644-guzn0peq 96 30 on on IN cord-267644-guzn0peq 96 31 these these DT cord-267644-guzn0peq 96 32 physical physical JJ cord-267644-guzn0peq 96 33 properties property NNS cord-267644-guzn0peq 96 34 [ [ -LRB- cord-267644-guzn0peq 96 35 13 13 CD cord-267644-guzn0peq 96 36 ] ] -RRB- cord-267644-guzn0peq 96 37 . . . cord-267644-guzn0peq 97 1 A a DT cord-267644-guzn0peq 97 2 linear linear JJ cord-267644-guzn0peq 97 3 approximation approximation NN cord-267644-guzn0peq 97 4 absorbs absorb VBZ cord-267644-guzn0peq 97 5 the the DT cord-267644-guzn0peq 97 6 ( ( -LRB- cord-267644-guzn0peq 97 7 weak weak JJ cord-267644-guzn0peq 97 8 ) ) -RRB- cord-267644-guzn0peq 97 9 temperature temperature NN cord-267644-guzn0peq 97 10 dependence dependence NN cord-267644-guzn0peq 97 11 of of IN cord-267644-guzn0peq 97 12 any any DT cord-267644-guzn0peq 97 13 parameters parameter NNS cord-267644-guzn0peq 97 14 involved involve VBN cord-267644-guzn0peq 97 15 in in IN cord-267644-guzn0peq 97 16 the the DT cord-267644-guzn0peq 97 17 exponential exponential JJ cord-267644-guzn0peq 97 18 rate rate NN cord-267644-guzn0peq 97 19 ; ; : cord-267644-guzn0peq 97 20 then then RB cord-267644-guzn0peq 97 21 , , , cord-267644-guzn0peq 97 22 Eq Eq NNP cord-267644-guzn0peq 97 23 ( ( -LRB- cord-267644-guzn0peq 97 24 5 5 CD cord-267644-guzn0peq 97 25 ) ) -RRB- cord-267644-guzn0peq 97 26 is be VBZ cord-267644-guzn0peq 97 27 linearly linearly RB cord-267644-guzn0peq 97 28 expanded expand VBN cord-267644-guzn0peq 97 29 as as IN cord-267644-guzn0peq 97 30 : : : cord-267644-guzn0peq 97 31 where where WRB cord-267644-guzn0peq 97 32 we -PRON- PRP cord-267644-guzn0peq 97 33 set set VBP cord-267644-guzn0peq 97 34 the the DT cord-267644-guzn0peq 97 35 intercept intercept NN cord-267644-guzn0peq 97 36 to to TO cord-267644-guzn0peq 97 37 be be VB cord-267644-guzn0peq 97 38 given give VBN cord-267644-guzn0peq 97 39 in in IN cord-267644-guzn0peq 97 40 normal normal JJ cord-267644-guzn0peq 97 41 conditions condition NNS cord-267644-guzn0peq 97 42 of of IN cord-267644-guzn0peq 97 43 atmospheric atmospheric JJ cord-267644-guzn0peq 97 44 temperature temperature NN cord-267644-guzn0peq 97 45 and and CC cord-267644-guzn0peq 97 46 pressure pressure NN cord-267644-guzn0peq 97 47 ( ( -LRB- cord-267644-guzn0peq 97 48 NTP NTP NNP cord-267644-guzn0peq 97 49 ) ) -RRB- cord-267644-guzn0peq 97 50 ( ( -LRB- cord-267644-guzn0peq 97 51 that that DT cord-267644-guzn0peq 97 52 is is RB cord-267644-guzn0peq 97 53 , , , cord-267644-guzn0peq 97 54 T T NNP cord-267644-guzn0peq 97 55 = = SYM cord-267644-guzn0peq 97 56 20 20 CD cord-267644-guzn0peq 97 57 C c NN cord-267644-guzn0peq 97 58 0 0 CD cord-267644-guzn0peq 97 59 , , , cord-267644-guzn0peq 97 60 P p NN cord-267644-guzn0peq 97 61 = = SYM cord-267644-guzn0peq 97 62 1atm 1atm CD cord-267644-guzn0peq 97 63 ) ) -RRB- cord-267644-guzn0peq 97 64 . . . cord-267644-guzn0peq 98 1 Then then RB cord-267644-guzn0peq 98 2 , , , cord-267644-guzn0peq 98 3 we -PRON- PRP cord-267644-guzn0peq 98 4 rewrite rewrite VBP cord-267644-guzn0peq 98 5 the the DT cord-267644-guzn0peq 98 6 exponential exponential JJ cord-267644-guzn0peq 98 7 rate rate NN cord-267644-guzn0peq 98 8 as as IN cord-267644-guzn0peq 98 9 : : : cord-267644-guzn0peq 98 10 where where WRB cord-267644-guzn0peq 98 11 λ λ NN cord-267644-guzn0peq 98 12 0 0 CD cord-267644-guzn0peq 98 13 and and CC cord-267644-guzn0peq 98 14 p p NN cord-267644-guzn0peq 98 15 2 2 CD cord-267644-guzn0peq 98 16 are be VBP cord-267644-guzn0peq 98 17 the the DT cord-267644-guzn0peq 98 18 intercept intercept NN cord-267644-guzn0peq 98 19 and and CC cord-267644-guzn0peq 98 20 slope slope NN cord-267644-guzn0peq 98 21 of of IN cord-267644-guzn0peq 98 22 the the DT cord-267644-guzn0peq 98 23 linear linear JJ cord-267644-guzn0peq 98 24 relation relation NN cord-267644-guzn0peq 98 25 ( ( -LRB- cord-267644-guzn0peq 98 26 7a 7a NN cord-267644-guzn0peq 98 27 ) ) -RRB- cord-267644-guzn0peq 98 28 . . . cord-267644-guzn0peq 99 1 ( ( -LRB- cord-267644-guzn0peq 99 2 ii ii NN cord-267644-guzn0peq 99 3 ) ) -RRB- cord-267644-guzn0peq 99 4 Coronavirus Coronavirus NNP cord-267644-guzn0peq 99 5 uses use VBZ cord-267644-guzn0peq 99 6 their -PRON- PRP$ cord-267644-guzn0peq 99 7 major major JJ cord-267644-guzn0peq 99 8 surface surface NN cord-267644-guzn0peq 99 9 spike spike NN cord-267644-guzn0peq 99 10 protein protein NN cord-267644-guzn0peq 99 11 to to TO cord-267644-guzn0peq 99 12 bind bind VB cord-267644-guzn0peq 99 13 on on IN cord-267644-guzn0peq 99 14 a a DT cord-267644-guzn0peq 99 15 receptor receptor NN cord-267644-guzn0peq 99 16 - - : cord-267644-guzn0peq 99 17 another another DT cord-267644-guzn0peq 99 18 protein protein NN cord-267644-guzn0peq 99 19 that that WDT cord-267644-guzn0peq 99 20 acts act VBZ cord-267644-guzn0peq 99 21 like like IN cord-267644-guzn0peq 99 22 a a DT cord-267644-guzn0peq 99 23 doorway doorway NN cord-267644-guzn0peq 99 24 into into IN cord-267644-guzn0peq 99 25 a a DT cord-267644-guzn0peq 99 26 human human JJ cord-267644-guzn0peq 99 27 cell cell NN cord-267644-guzn0peq 99 28 [ [ -LRB- cord-267644-guzn0peq 99 29 19 19 CD cord-267644-guzn0peq 99 30 ] ] -RRB- cord-267644-guzn0peq 99 31 . . . cord-267644-guzn0peq 100 1 The the DT cord-267644-guzn0peq 100 2 whole whole JJ cord-267644-guzn0peq 100 3 process process NN cord-267644-guzn0peq 100 4 is be VBZ cord-267644-guzn0peq 100 5 a a DT cord-267644-guzn0peq 100 6 slow slow JJ cord-267644-guzn0peq 100 7 chemical chemical NN cord-267644-guzn0peq 100 8 reaction reaction NN cord-267644-guzn0peq 100 9 , , , cord-267644-guzn0peq 100 10 where where WRB cord-267644-guzn0peq 100 11 the the DT cord-267644-guzn0peq 100 12 mechanism mechanism NN cord-267644-guzn0peq 100 13 behind behind RB cord-267644-guzn0peq 100 14 can can MD cord-267644-guzn0peq 100 15 lead lead VB cord-267644-guzn0peq 100 16 to to IN cord-267644-guzn0peq 100 17 rates rate NNS cord-267644-guzn0peq 100 18 negatively negatively RB cord-267644-guzn0peq 100 19 correlated correlate VBN cord-267644-guzn0peq 100 20 with with IN cord-267644-guzn0peq 100 21 temperature temperature NN cord-267644-guzn0peq 100 22 , , , cord-267644-guzn0peq 100 23 i.e. i.e. FW cord-267644-guzn0peq 100 24 , , , cord-267644-guzn0peq 100 25 increasing increase VBG cord-267644-guzn0peq 100 26 rate rate NN cord-267644-guzn0peq 100 27 with with IN cord-267644-guzn0peq 100 28 decreasing decrease VBG cord-267644-guzn0peq 100 29 temperature temperature NN cord-267644-guzn0peq 100 30 . . . cord-267644-guzn0peq 101 1 This this DT cord-267644-guzn0peq 101 2 is be VBZ cord-267644-guzn0peq 101 3 consistent consistent JJ cord-267644-guzn0peq 101 4 to to IN cord-267644-guzn0peq 101 5 reaction reaction NN cord-267644-guzn0peq 101 6 rate rate NN cord-267644-guzn0peq 101 7 expressed express VBN cord-267644-guzn0peq 101 8 by by IN cord-267644-guzn0peq 101 9 the the DT cord-267644-guzn0peq 101 10 Arrhenius Arrhenius NNP cord-267644-guzn0peq 101 11 exponential exponential JJ cord-267644-guzn0peq 101 12 with with IN cord-267644-guzn0peq 101 13 negative negative JJ cord-267644-guzn0peq 101 14 activation activation NN cord-267644-guzn0peq 101 15 energy energy NN cord-267644-guzn0peq 101 16 exp[|E exp[|E NNP cord-267644-guzn0peq 101 17 a a DT cord-267644-guzn0peq 101 18 |/(k |/(k NNP cord-267644-guzn0peq 101 19 B B NNP cord-267644-guzn0peq 101 20 T t NN cord-267644-guzn0peq 101 21 ) ) -RRB- cord-267644-guzn0peq 101 22 ] ] -RRB- cord-267644-guzn0peq 102 1 [ [ -LRB- cord-267644-guzn0peq 102 2 20 20 CD cord-267644-guzn0peq 102 3 ] ] -RRB- cord-267644-guzn0peq 102 4 . . . cord-267644-guzn0peq 103 1 Then then RB cord-267644-guzn0peq 103 2 , , , cord-267644-guzn0peq 103 3 the the DT cord-267644-guzn0peq 103 4 effective effective JJ cord-267644-guzn0peq 103 5 reproduction reproduction NN cord-267644-guzn0peq 103 6 number number NN cord-267644-guzn0peq 103 7 R r NN cord-267644-guzn0peq 103 8 0 0 CD cord-267644-guzn0peq 103 9 ( ( -LRB- cord-267644-guzn0peq 103 10 T T NNP cord-267644-guzn0peq 103 11 ) ) -RRB- cord-267644-guzn0peq 103 12 is be VBZ cord-267644-guzn0peq 103 13 expressed express VBN cord-267644-guzn0peq 103 14 as as IN cord-267644-guzn0peq 103 15 a a DT cord-267644-guzn0peq 103 16 product product NN cord-267644-guzn0peq 103 17 combining combine VBG cord-267644-guzn0peq 103 18 the the DT cord-267644-guzn0peq 103 19 reproduction reproduction NN cord-267644-guzn0peq 103 20 number number NN cord-267644-guzn0peq 103 21 in in IN cord-267644-guzn0peq 103 22 the the DT cord-267644-guzn0peq 103 23 absence absence NN cord-267644-guzn0peq 103 24 of of IN cord-267644-guzn0peq 103 25 temperature temperature NN cord-267644-guzn0peq 103 26 effect effect NN cord-267644-guzn0peq 103 27 , , , cord-267644-guzn0peq 103 28 R r NN cord-267644-guzn0peq 103 29 0 0 CD cord-267644-guzn0peq 103 30 1 1 CD cord-267644-guzn0peq 103 31 , , , cord-267644-guzn0peq 103 32 and and CC cord-267644-guzn0peq 103 33 the the DT cord-267644-guzn0peq 103 34 Arrhenius Arrhenius NNP cord-267644-guzn0peq 103 35 exponential exponential JJ cord-267644-guzn0peq 103 36 rate rate NN cord-267644-guzn0peq 103 37 , , , cord-267644-guzn0peq 103 38 namely namely RB cord-267644-guzn0peq 103 39 , , , cord-267644-guzn0peq 103 40 Then then RB cord-267644-guzn0peq 103 41 , , , cord-267644-guzn0peq 103 42 Eq Eq NNP cord-267644-guzn0peq 103 43 ( ( -LRB- cord-267644-guzn0peq 103 44 5 5 LS cord-267644-guzn0peq 103 45 ) ) -RRB- cord-267644-guzn0peq 103 46 gives give VBZ cord-267644-guzn0peq 103 47 We -PRON- PRP cord-267644-guzn0peq 103 48 rewrite rewrite VBP cord-267644-guzn0peq 103 49 this this DT cord-267644-guzn0peq 103 50 expression expression NN cord-267644-guzn0peq 103 51 as as IN cord-267644-guzn0peq 103 52 : : : cord-267644-guzn0peq 103 53 where where WRB cord-267644-guzn0peq 103 54 −λ −λ NNP cord-267644-guzn0peq 103 55 0 0 CD cord-267644-guzn0peq 103 56 and and CC cord-267644-guzn0peq 103 57 p p NN cord-267644-guzn0peq 103 58 2 2 CD cord-267644-guzn0peq 103 59 are be VBP cord-267644-guzn0peq 103 60 the the DT cord-267644-guzn0peq 103 61 intercept intercept NN cord-267644-guzn0peq 103 62 and and CC cord-267644-guzn0peq 103 63 slope slope NN cord-267644-guzn0peq 103 64 of of IN cord-267644-guzn0peq 103 65 the the DT cord-267644-guzn0peq 103 66 linear linear JJ cord-267644-guzn0peq 103 67 relation relation NN cord-267644-guzn0peq 103 68 ( ( -LRB- cord-267644-guzn0peq 103 69 10a 10a CD cord-267644-guzn0peq 103 70 ) ) -RRB- cord-267644-guzn0peq 103 71 , , , cord-267644-guzn0peq 103 72 respectively respectively RB cord-267644-guzn0peq 103 73 . . . cord-267644-guzn0peq 104 1 Reactions reaction NNS cord-267644-guzn0peq 104 2 of of IN cord-267644-guzn0peq 104 3 negative negative JJ cord-267644-guzn0peq 104 4 activation activation NN cord-267644-guzn0peq 104 5 energy energy NN cord-267644-guzn0peq 104 6 are be VBP cord-267644-guzn0peq 104 7 barrier barrier NN cord-267644-guzn0peq 104 8 - - HYPH cord-267644-guzn0peq 104 9 less less JJR cord-267644-guzn0peq 104 10 , , , cord-267644-guzn0peq 104 11 relying rely VBG cord-267644-guzn0peq 104 12 on on IN cord-267644-guzn0peq 104 13 the the DT cord-267644-guzn0peq 104 14 capture capture NN cord-267644-guzn0peq 104 15 of of IN cord-267644-guzn0peq 104 16 the the DT cord-267644-guzn0peq 104 17 molecules molecule NNS cord-267644-guzn0peq 104 18 in in IN cord-267644-guzn0peq 104 19 a a DT cord-267644-guzn0peq 104 20 potential potential JJ cord-267644-guzn0peq 104 21 well well NN cord-267644-guzn0peq 104 22 . . . cord-267644-guzn0peq 105 1 Increasing increase VBG cord-267644-guzn0peq 105 2 { { -LRB- cord-267644-guzn0peq 105 3 decreasing decrease VBG cord-267644-guzn0peq 105 4 } } -RRB- cord-267644-guzn0peq 105 5 the the DT cord-267644-guzn0peq 105 6 temperature temperature NN cord-267644-guzn0peq 105 7 leads lead VBZ cord-267644-guzn0peq 105 8 to to IN cord-267644-guzn0peq 105 9 a a DT cord-267644-guzn0peq 105 10 reduced reduce VBN cord-267644-guzn0peq 105 11 { { -LRB- cord-267644-guzn0peq 105 12 gained gain VBN cord-267644-guzn0peq 105 13 } } -RRB- cord-267644-guzn0peq 105 14 probability probability NN cord-267644-guzn0peq 105 15 of of IN cord-267644-guzn0peq 105 16 the the DT cord-267644-guzn0peq 105 17 colliding collide VBG cord-267644-guzn0peq 105 18 molecules molecule NNS cord-267644-guzn0peq 105 19 capturing capture VBG cord-267644-guzn0peq 105 20 one one CD cord-267644-guzn0peq 105 21 another another DT cord-267644-guzn0peq 105 22 . . . cord-267644-guzn0peq 106 1 Due due IN cord-267644-guzn0peq 106 2 to to IN cord-267644-guzn0peq 106 3 the the DT cord-267644-guzn0peq 106 4 negative negative JJ cord-267644-guzn0peq 106 5 activation activation NN cord-267644-guzn0peq 106 6 energy energy NN cord-267644-guzn0peq 106 7 , , , cord-267644-guzn0peq 106 8 decreasing decrease VBG cord-267644-guzn0peq 106 9 the the DT cord-267644-guzn0peq 106 10 environmental environmental JJ cord-267644-guzn0peq 106 11 temperature temperature NN cord-267644-guzn0peq 106 12 reduces reduce VBZ cord-267644-guzn0peq 106 13 the the DT cord-267644-guzn0peq 106 14 probability probability NN cord-267644-guzn0peq 106 15 of of IN cord-267644-guzn0peq 106 16 virus virus NN cord-267644-guzn0peq 106 17 - - HYPH cord-267644-guzn0peq 106 18 protein protein NN cord-267644-guzn0peq 106 19 reaction reaction NN cord-267644-guzn0peq 106 20 , , , cord-267644-guzn0peq 106 21 thus thus RB cord-267644-guzn0peq 106 22 the the DT cord-267644-guzn0peq 106 23 virus virus NN cord-267644-guzn0peq 106 24 may may MD cord-267644-guzn0peq 106 25 stay stay VB cord-267644-guzn0peq 106 26 inactive inactive JJ cord-267644-guzn0peq 106 27 on on IN cord-267644-guzn0peq 106 28 air air NN cord-267644-guzn0peq 106 29 or or CC cord-267644-guzn0peq 106 30 surfaces surface NNS cord-267644-guzn0peq 106 31 and and CC cord-267644-guzn0peq 106 32 eventually eventually RB cord-267644-guzn0peq 106 33 die die VB cord-267644-guzn0peq 106 34 . . . cord-267644-guzn0peq 107 1 Exponential exponential JJ cord-267644-guzn0peq 107 2 growth growth NN cord-267644-guzn0peq 107 3 is be VBZ cord-267644-guzn0peq 107 4 related relate VBN cord-267644-guzn0peq 107 5 to to IN cord-267644-guzn0peq 107 6 community community NN cord-267644-guzn0peq 107 7 spread spread VBN cord-267644-guzn0peq 107 8 through through IN cord-267644-guzn0peq 107 9 outdoors outdoors JJ cord-267644-guzn0peq 107 10 activities activity NNS cord-267644-guzn0peq 107 11 , , , cord-267644-guzn0peq 107 12 while while IN cord-267644-guzn0peq 107 13 the the DT cord-267644-guzn0peq 107 14 decelerated decelerate VBN cord-267644-guzn0peq 107 15 growth growth NN cord-267644-guzn0peq 107 16 caused cause VBN cord-267644-guzn0peq 107 17 by by IN cord-267644-guzn0peq 107 18 effective effective JJ cord-267644-guzn0peq 107 19 measures measure NNS cord-267644-guzn0peq 107 20 is be VBZ cord-267644-guzn0peq 107 21 related relate VBN cord-267644-guzn0peq 107 22 to to IN cord-267644-guzn0peq 107 23 indoors indoors JJ cord-267644-guzn0peq 107 24 activities activity NNS cord-267644-guzn0peq 107 25 : : : cord-267644-guzn0peq 107 26 Exponential exponential JJ cord-267644-guzn0peq 107 27 growth growth NN cord-267644-guzn0peq 107 28 exists exist VBZ cord-267644-guzn0peq 107 29 once once IN cord-267644-guzn0peq 107 30 the the DT cord-267644-guzn0peq 107 31 disease disease NN cord-267644-guzn0peq 107 32 is be VBZ cord-267644-guzn0peq 107 33 still still RB cord-267644-guzn0peq 107 34 effective effective JJ cord-267644-guzn0peq 107 35 and and CC cord-267644-guzn0peq 107 36 the the DT cord-267644-guzn0peq 107 37 measures measure NNS cord-267644-guzn0peq 107 38 are be VBP cord-267644-guzn0peq 107 39 loosened loosen VBN cord-267644-guzn0peq 107 40 , , , cord-267644-guzn0peq 107 41 allowing allow VBG cord-267644-guzn0peq 107 42 people people NNS cord-267644-guzn0peq 107 43 to to IN cord-267644-guzn0peq 107 44 outdoor outdoor JJ cord-267644-guzn0peq 107 45 social social JJ cord-267644-guzn0peq 107 46 activities activity NNS cord-267644-guzn0peq 107 47 ; ; : cord-267644-guzn0peq 107 48 however however RB cord-267644-guzn0peq 107 49 , , , cord-267644-guzn0peq 107 50 exponential exponential JJ cord-267644-guzn0peq 107 51 growth growth NN cord-267644-guzn0peq 107 52 decelerates decelerate VBZ cord-267644-guzn0peq 107 53 followed follow VBN cord-267644-guzn0peq 107 54 by by IN cord-267644-guzn0peq 107 55 the the DT cord-267644-guzn0peq 107 56 decay decay NN cord-267644-guzn0peq 107 57 phase phase NN cord-267644-guzn0peq 107 58 , , , cord-267644-guzn0peq 107 59 once once IN cord-267644-guzn0peq 107 60 effective effective JJ cord-267644-guzn0peq 107 61 measures measure NNS cord-267644-guzn0peq 107 62 hold hold VBP cord-267644-guzn0peq 107 63 people people NNS cord-267644-guzn0peq 107 64 in in IN cord-267644-guzn0peq 107 65 small small JJ cord-267644-guzn0peq 107 66 groups group NNS cord-267644-guzn0peq 107 67 indoors indoors RB cord-267644-guzn0peq 107 68 . . . cord-267644-guzn0peq 108 1 Therefore therefore RB cord-267644-guzn0peq 108 2 , , , cord-267644-guzn0peq 108 3 exponential exponential JJ cord-267644-guzn0peq 108 4 growth growth NN cord-267644-guzn0peq 108 5 rate rate NN cord-267644-guzn0peq 108 6 must must MD cord-267644-guzn0peq 108 7 be be VB cord-267644-guzn0peq 108 8 related relate VBN cord-267644-guzn0peq 108 9 to to IN cord-267644-guzn0peq 108 10 outdoors outdoors RB cord-267644-guzn0peq 108 11 ( ( -LRB- cord-267644-guzn0peq 108 12 rather rather RB cord-267644-guzn0peq 108 13 than than IN cord-267644-guzn0peq 108 14 indoors indoor NNS cord-267644-guzn0peq 108 15 ) ) -RRB- cord-267644-guzn0peq 108 16 activities activity NNS cord-267644-guzn0peq 108 17 , , , cord-267644-guzn0peq 108 18 and and CC cord-267644-guzn0peq 108 19 thus thus RB cord-267644-guzn0peq 108 20 to to IN cord-267644-guzn0peq 108 21 the the DT cord-267644-guzn0peq 108 22 environmental environmental JJ cord-267644-guzn0peq 108 23 temperature temperature NN cord-267644-guzn0peq 108 24 . . . cord-267644-guzn0peq 109 1 As as RB cord-267644-guzn0peq 109 2 long long RB cord-267644-guzn0peq 109 3 as as IN cord-267644-guzn0peq 109 4 the the DT cord-267644-guzn0peq 109 5 exponential exponential JJ cord-267644-guzn0peq 109 6 growth growth NN cord-267644-guzn0peq 109 7 takes take VBZ cord-267644-guzn0peq 109 8 place place NN cord-267644-guzn0peq 109 9 , , , cord-267644-guzn0peq 109 10 the the DT cord-267644-guzn0peq 109 11 environmental environmental JJ cord-267644-guzn0peq 109 12 temperature temperature NN cord-267644-guzn0peq 109 13 has have VBZ cord-267644-guzn0peq 109 14 an an DT cord-267644-guzn0peq 109 15 effective effective JJ cord-267644-guzn0peq 109 16 role role NN cord-267644-guzn0peq 109 17 on on IN cord-267644-guzn0peq 109 18 the the DT cord-267644-guzn0peq 109 19 chemical chemical JJ cord-267644-guzn0peq 109 20 reaction reaction NN cord-267644-guzn0peq 109 21 between between IN cord-267644-guzn0peq 109 22 virus virus NN cord-267644-guzn0peq 109 23 and and CC cord-267644-guzn0peq 109 24 spike spike NN cord-267644-guzn0peq 109 25 protein protein NN cord-267644-guzn0peq 109 26 . . . cord-267644-guzn0peq 110 1 It -PRON- PRP cord-267644-guzn0peq 110 2 should should MD cord-267644-guzn0peq 110 3 be be VB cord-267644-guzn0peq 110 4 noted note VBN cord-267644-guzn0peq 110 5 that that IN cord-267644-guzn0peq 110 6 both both CC cord-267644-guzn0peq 110 7 the the DT cord-267644-guzn0peq 110 8 models model NNS cord-267644-guzn0peq 110 9 ( ( -LRB- cord-267644-guzn0peq 110 10 7b 7b NN cord-267644-guzn0peq 110 11 ) ) -RRB- cord-267644-guzn0peq 110 12 and and CC cord-267644-guzn0peq 110 13 ( ( -LRB- cord-267644-guzn0peq 110 14 10b 10b NNS cord-267644-guzn0peq 110 15 ) ) -RRB- cord-267644-guzn0peq 110 16 consider consider VBP cord-267644-guzn0peq 110 17 that that IN cord-267644-guzn0peq 110 18 the the DT cord-267644-guzn0peq 110 19 exponential exponential JJ cord-267644-guzn0peq 110 20 rate rate NN cord-267644-guzn0peq 110 21 λ λ NN cord-267644-guzn0peq 110 22 , , , cord-267644-guzn0peq 110 23 or or CC cord-267644-guzn0peq 110 24 the the DT cord-267644-guzn0peq 110 25 reproduction reproduction NN cord-267644-guzn0peq 110 26 number number NN cord-267644-guzn0peq 110 27 R r NN cord-267644-guzn0peq 110 28 0 0 CD cord-267644-guzn0peq 110 29 , , , cord-267644-guzn0peq 110 30 are be VBP cord-267644-guzn0peq 110 31 subject subject JJ cord-267644-guzn0peq 110 32 to to IN cord-267644-guzn0peq 110 33 a a DT cord-267644-guzn0peq 110 34 component component NN cord-267644-guzn0peq 110 35 influenced influence VBN cord-267644-guzn0peq 110 36 by by IN cord-267644-guzn0peq 110 37 the the DT cord-267644-guzn0peq 110 38 culture culture NN cord-267644-guzn0peq 110 39 in in IN cord-267644-guzn0peq 110 40 social social JJ cord-267644-guzn0peq 110 41 activities activity NNS cord-267644-guzn0peq 110 42 ( ( -LRB- cord-267644-guzn0peq 110 43 intercept intercept VB cord-267644-guzn0peq 110 44 λ λ NN cord-267644-guzn0peq 110 45 0 0 CD cord-267644-guzn0peq 110 46 ) ) -RRB- cord-267644-guzn0peq 110 47 and and CC cord-267644-guzn0peq 110 48 a a DT cord-267644-guzn0peq 110 49 component component NN cord-267644-guzn0peq 110 50 mostly mostly RB cord-267644-guzn0peq 110 51 influenced influence VBN cord-267644-guzn0peq 110 52 by by IN cord-267644-guzn0peq 110 53 the the DT cord-267644-guzn0peq 110 54 temperature temperature NN cord-267644-guzn0peq 110 55 ( ( -LRB- cord-267644-guzn0peq 110 56 linear linear JJ cord-267644-guzn0peq 110 57 term term NN cord-267644-guzn0peq 110 58 with with IN cord-267644-guzn0peq 110 59 slope slope NN cord-267644-guzn0peq 110 60 p p NN cord-267644-guzn0peq 110 61 2 2 CD cord-267644-guzn0peq 110 62 ) ) -RRB- cord-267644-guzn0peq 110 63 . . . cord-267644-guzn0peq 111 1 In in IN cord-267644-guzn0peq 111 2 this this DT cord-267644-guzn0peq 111 3 way way NN cord-267644-guzn0peq 111 4 , , , cord-267644-guzn0peq 111 5 the the DT cord-267644-guzn0peq 111 6 slope slope NN cord-267644-guzn0peq 111 7 may may MD cord-267644-guzn0peq 111 8 indicate indicate VB cord-267644-guzn0peq 111 9 some some DT cord-267644-guzn0peq 111 10 universal universal JJ cord-267644-guzn0peq 111 11 quantity quantity NN cord-267644-guzn0peq 111 12 involved involve VBN cord-267644-guzn0peq 111 13 , , , cord-267644-guzn0peq 111 14 such such JJ cord-267644-guzn0peq 111 15 as as IN cord-267644-guzn0peq 111 16 , , , cord-267644-guzn0peq 111 17 the the DT cord-267644-guzn0peq 111 18 ( ( -LRB- cord-267644-guzn0peq 111 19 negative negative JJ cord-267644-guzn0peq 111 20 ) ) -RRB- cord-267644-guzn0peq 111 21 activation activation NN cord-267644-guzn0peq 111 22 energy energy NN cord-267644-guzn0peq 111 23 . . . cord-267644-guzn0peq 112 1 Next next RB cord-267644-guzn0peq 112 2 , , , cord-267644-guzn0peq 112 3 we -PRON- PRP cord-267644-guzn0peq 112 4 employ employ VBP cord-267644-guzn0peq 112 5 the the DT cord-267644-guzn0peq 112 6 above above JJ cord-267644-guzn0peq 112 7 two two CD cord-267644-guzn0peq 112 8 expressions expression NNS cord-267644-guzn0peq 112 9 of of IN cord-267644-guzn0peq 112 10 exponential exponential JJ cord-267644-guzn0peq 112 11 rate rate NN cord-267644-guzn0peq 112 12 λ λ NN cord-267644-guzn0peq 112 13 and and CC cord-267644-guzn0peq 112 14 temperature temperature NN cord-267644-guzn0peq 112 15 T T NNP cord-267644-guzn0peq 112 16 , , , cord-267644-guzn0peq 112 17 Eqs Eqs NNP cord-267644-guzn0peq 112 18 ( ( -LRB- cord-267644-guzn0peq 112 19 7A 7a NN cord-267644-guzn0peq 112 20 and and CC cord-267644-guzn0peq 112 21 10A 10a NN cord-267644-guzn0peq 112 22 ) ) -RRB- cord-267644-guzn0peq 112 23 , , , cord-267644-guzn0peq 112 24 in in IN cord-267644-guzn0peq 112 25 order order NN cord-267644-guzn0peq 112 26 to to TO cord-267644-guzn0peq 112 27 set set VB cord-267644-guzn0peq 112 28 the the DT cord-267644-guzn0peq 112 29 two two CD cord-267644-guzn0peq 112 30 types type NNS cord-267644-guzn0peq 112 31 of of IN cord-267644-guzn0peq 112 32 statistical statistical JJ cord-267644-guzn0peq 112 33 models model NNS cord-267644-guzn0peq 112 34 for for IN cord-267644-guzn0peq 112 35 fitting fitting NN cord-267644-guzn0peq 112 36 ( ( -LRB- cord-267644-guzn0peq 112 37 Τ τ NN cord-267644-guzn0peq 112 38 , , , cord-267644-guzn0peq 112 39 λ λ NN cord-267644-guzn0peq 112 40 ) ) -RRB- cord-267644-guzn0peq 112 41 measurements measurement NNS cord-267644-guzn0peq 112 42 for for IN cord-267644-guzn0peq 112 43 US US NNP cord-267644-guzn0peq 112 44 and and CC cord-267644-guzn0peq 112 45 Italian italian JJ cord-267644-guzn0peq 112 46 regions region NNS cord-267644-guzn0peq 112 47 . . . cord-267644-guzn0peq 113 1 We -PRON- PRP cord-267644-guzn0peq 113 2 use use VBP cord-267644-guzn0peq 113 3 publicly publicly RB cord-267644-guzn0peq 113 4 available available JJ cord-267644-guzn0peq 113 5 datasets dataset NNS cord-267644-guzn0peq 113 6 of of IN cord-267644-guzn0peq 113 7 : : : cord-267644-guzn0peq 114 1 ( ( -LRB- cord-267644-guzn0peq 114 2 1 1 LS cord-267644-guzn0peq 114 3 ) ) -RRB- cord-267644-guzn0peq 114 4 average average JJ cord-267644-guzn0peq 114 5 environmental environmental JJ cord-267644-guzn0peq 114 6 temperature temperature NN cord-267644-guzn0peq 114 7 of of IN cord-267644-guzn0peq 114 8 US US NNP cord-267644-guzn0peq 114 9 and and CC cord-267644-guzn0peq 114 10 Italian italian JJ cord-267644-guzn0peq 114 11 regions region NNS cord-267644-guzn0peq 114 12 ( ( -LRB- cord-267644-guzn0peq 114 13 e.g. e.g. RB cord-267644-guzn0peq 114 14 , , , cord-267644-guzn0peq 114 15 see see VB cord-267644-guzn0peq 114 16 : : : cord-267644-guzn0peq 114 17 www.ncdc.noaa.gov/data-access/land-based-station-data/land-baseddatasets/climate-normals www.ncdc.noaa.gov/data-access/land-based-station-data/land-baseddatasets/climate-normal NNS cord-267644-guzn0peq 114 18 ; ; : cord-267644-guzn0peq 114 19 it.climate-data.org it.climate-data.org NN cord-267644-guzn0peq 114 20 ; ; : cord-267644-guzn0peq 114 21 www.weather-atlas.com www.weather-atlas.com ADD cord-267644-guzn0peq 114 22 ) ) -RRB- cord-267644-guzn0peq 114 23 ; ; : cord-267644-guzn0peq 115 1 ( ( -LRB- cord-267644-guzn0peq 115 2 2 2 LS cord-267644-guzn0peq 115 3 ) ) -RRB- cord-267644-guzn0peq 115 4 time time NN cord-267644-guzn0peq 115 5 series series NN cord-267644-guzn0peq 115 6 of of IN cord-267644-guzn0peq 115 7 the the DT cord-267644-guzn0peq 115 8 number number NN cord-267644-guzn0peq 115 9 of of IN cord-267644-guzn0peq 115 10 daily daily JJ cord-267644-guzn0peq 115 11 infected infected JJ cord-267644-guzn0peq 115 12 cases case NNS cord-267644-guzn0peq 115 13 of of IN cord-267644-guzn0peq 115 14 US US NNP cord-267644-guzn0peq 115 15 and and CC cord-267644-guzn0peq 115 16 Italian italian JJ cord-267644-guzn0peq 115 17 regions region NNS cord-267644-guzn0peq 115 18 ( ( -LRB- cord-267644-guzn0peq 115 19 e.g. e.g. RB cord-267644-guzn0peq 115 20 , , , cord-267644-guzn0peq 115 21 see see VB cord-267644-guzn0peq 115 22 : : : cord-267644-guzn0peq 115 23 www.thelancet.com www.thelancet.com ADD cord-267644-guzn0peq 115 24 ; ; : cord-267644-guzn0peq 115 25 www www NN cord-267644-guzn0peq 115 26 . . . cord-267644-guzn0peq 115 27 protezionecivile.gov.it protezionecivile.gov.it NNP cord-267644-guzn0peq 115 28 ) ) -RRB- cord-267644-guzn0peq 115 29 . . . cord-267644-guzn0peq 116 1 We -PRON- PRP cord-267644-guzn0peq 116 2 analyze analyze VBP cord-267644-guzn0peq 116 3 the the DT cord-267644-guzn0peq 116 4 datasets dataset NNS cord-267644-guzn0peq 116 5 of of IN cord-267644-guzn0peq 116 6 regional regional JJ cord-267644-guzn0peq 116 7 infected infected JJ cord-267644-guzn0peq 116 8 cases case NNS cord-267644-guzn0peq 116 9 in in IN cord-267644-guzn0peq 116 10 US US NNP cord-267644-guzn0peq 116 11 and and CC cord-267644-guzn0peq 116 12 Italy Italy NNP cord-267644-guzn0peq 116 13 , , , cord-267644-guzn0peq 116 14 derive derive VB cord-267644-guzn0peq 116 15 the the DT cord-267644-guzn0peq 116 16 relationship relationship NN cord-267644-guzn0peq 116 17 of of IN cord-267644-guzn0peq 116 18 the the DT cord-267644-guzn0peq 116 19 exponential exponential JJ cord-267644-guzn0peq 116 20 growth growth NN cord-267644-guzn0peq 116 21 rate rate NN cord-267644-guzn0peq 116 22 of of IN cord-267644-guzn0peq 116 23 the the DT cord-267644-guzn0peq 116 24 number number NN cord-267644-guzn0peq 116 25 of of IN cord-267644-guzn0peq 116 26 cases case NNS cord-267644-guzn0peq 116 27 with with IN cord-267644-guzn0peq 116 28 temperature temperature NN cord-267644-guzn0peq 116 29 , , , cord-267644-guzn0peq 116 30 and and CC cord-267644-guzn0peq 116 31 evaluate evaluate VB cord-267644-guzn0peq 116 32 its -PRON- PRP$ cord-267644-guzn0peq 116 33 statistical statistical JJ cord-267644-guzn0peq 116 34 confidence confidence NN cord-267644-guzn0peq 116 35 . . . cord-267644-guzn0peq 117 1 First first RB cord-267644-guzn0peq 117 2 , , , cord-267644-guzn0peq 117 3 we -PRON- PRP cord-267644-guzn0peq 117 4 derive derive VBP cord-267644-guzn0peq 117 5 the the DT cord-267644-guzn0peq 117 6 exponential exponential JJ cord-267644-guzn0peq 117 7 growth growth NN cord-267644-guzn0peq 117 8 rates rate NNS cord-267644-guzn0peq 117 9 of of IN cord-267644-guzn0peq 117 10 the the DT cord-267644-guzn0peq 117 11 infected infected JJ cord-267644-guzn0peq 117 12 cases case NNS cord-267644-guzn0peq 117 13 characterizing characterize VBG cord-267644-guzn0peq 117 14 each each DT cord-267644-guzn0peq 117 15 examined examine VBN cord-267644-guzn0peq 117 16 region region NN cord-267644-guzn0peq 117 17 of of IN cord-267644-guzn0peq 117 18 US US NNP cord-267644-guzn0peq 117 19 and and CC cord-267644-guzn0peq 117 20 Italy Italy NNP cord-267644-guzn0peq 117 21 ; ; : cord-267644-guzn0peq 117 22 then then RB cord-267644-guzn0peq 117 23 , , , cord-267644-guzn0peq 117 24 we -PRON- PRP cord-267644-guzn0peq 117 25 plot plot VBP cord-267644-guzn0peq 117 26 these these DT cord-267644-guzn0peq 117 27 values value NNS cord-267644-guzn0peq 117 28 against against IN cord-267644-guzn0peq 117 29 the the DT cord-267644-guzn0peq 117 30 environmental environmental JJ cord-267644-guzn0peq 117 31 temperatures temperature NNS cord-267644-guzn0peq 117 32 of of IN cord-267644-guzn0peq 117 33 each each DT cord-267644-guzn0peq 117 34 region region NN cord-267644-guzn0peq 117 35 , , , cord-267644-guzn0peq 117 36 and and CC cord-267644-guzn0peq 117 37 perform perform VB cord-267644-guzn0peq 117 38 the the DT cord-267644-guzn0peq 117 39 corresponding corresponding JJ cord-267644-guzn0peq 117 40 statistical statistical JJ cord-267644-guzn0peq 117 41 analysis analysis NN cord-267644-guzn0peq 117 42 . . . cord-267644-guzn0peq 118 1 We -PRON- PRP cord-267644-guzn0peq 118 2 proceed proceed VBP cord-267644-guzn0peq 118 3 according accord VBG cord-267644-guzn0peq 118 4 to to IN cord-267644-guzn0peq 118 5 the the DT cord-267644-guzn0peq 118 6 following follow VBG cord-267644-guzn0peq 118 7 steps step NNS cord-267644-guzn0peq 118 8 : : : cord-267644-guzn0peq 118 9 i. i. LS cord-267644-guzn0peq 118 10 Collect collect VB cord-267644-guzn0peq 118 11 the the DT cord-267644-guzn0peq 118 12 time time NN cord-267644-guzn0peq 118 13 series series NN cord-267644-guzn0peq 118 14 of of IN cord-267644-guzn0peq 118 15 the the DT cord-267644-guzn0peq 118 16 current current JJ cord-267644-guzn0peq 118 17 infected infected JJ cord-267644-guzn0peq 118 18 cases case NNS cord-267644-guzn0peq 118 19 N n CD cord-267644-guzn0peq 118 20 t t NN cord-267644-guzn0peq 118 21 for for IN cord-267644-guzn0peq 118 22 all all DT cord-267644-guzn0peq 118 23 US US NNP cord-267644-guzn0peq 118 24 and and CC cord-267644-guzn0peq 118 25 Italian italian JJ cord-267644-guzn0peq 118 26 regions region NNS cord-267644-guzn0peq 118 27 . . . cord-267644-guzn0peq 119 1 ii ii NNP cord-267644-guzn0peq 119 2 . . . cord-267644-guzn0peq 120 1 For for IN cord-267644-guzn0peq 120 2 each each DT cord-267644-guzn0peq 120 3 of of IN cord-267644-guzn0peq 120 4 the the DT cord-267644-guzn0peq 120 5 US US NNP cord-267644-guzn0peq 120 6 and and CC cord-267644-guzn0peq 120 7 Italian italian JJ cord-267644-guzn0peq 120 8 regions region NNS cord-267644-guzn0peq 120 9 , , , cord-267644-guzn0peq 120 10 we -PRON- PRP cord-267644-guzn0peq 120 11 plot plot VBP cord-267644-guzn0peq 120 12 log log NN cord-267644-guzn0peq 120 13 ( ( -LRB- cord-267644-guzn0peq 120 14 N N NNP cord-267644-guzn0peq 120 15 t t NN cord-267644-guzn0peq 120 16 ) ) -RRB- cord-267644-guzn0peq 120 17 and and CC cord-267644-guzn0peq 120 18 log log VB cord-267644-guzn0peq 120 19 ( ( -LRB- cord-267644-guzn0peq 120 20 ΔN ΔN NNP cord-267644-guzn0peq 120 21 t t NNP cord-267644-guzn0peq 120 22 ) ) -RRB- cord-267644-guzn0peq 120 23 with with IN cord-267644-guzn0peq 120 24 time time NN cord-267644-guzn0peq 120 25 t t NN cord-267644-guzn0peq 120 26 , , , cord-267644-guzn0peq 120 27 detect detect VB cord-267644-guzn0peq 120 28 the the DT cord-267644-guzn0peq 120 29 time time NN cord-267644-guzn0peq 120 30 intervals interval NNS cord-267644-guzn0peq 120 31 of of IN cord-267644-guzn0peq 120 32 linear linear JJ cord-267644-guzn0peq 120 33 relationship relationship NN cord-267644-guzn0peq 120 34 corresponding correspond VBG cord-267644-guzn0peq 120 35 to to IN cord-267644-guzn0peq 120 36 the the DT cord-267644-guzn0peq 120 37 phase phase NN cord-267644-guzn0peq 120 38 of of IN cord-267644-guzn0peq 120 39 exponential exponential JJ cord-267644-guzn0peq 120 40 growth growth NN cord-267644-guzn0peq 120 41 , , , cord-267644-guzn0peq 120 42 fit fit VB cord-267644-guzn0peq 120 43 the the DT cord-267644-guzn0peq 120 44 data data NN cord-267644-guzn0peq 120 45 - - HYPH cord-267644-guzn0peq 120 46 points point NNS cord-267644-guzn0peq 120 47 within within IN cord-267644-guzn0peq 120 48 this this DT cord-267644-guzn0peq 120 49 region region NN cord-267644-guzn0peq 120 50 , , , cord-267644-guzn0peq 120 51 and and CC cord-267644-guzn0peq 120 52 derive derive VB cord-267644-guzn0peq 120 53 the the DT cord-267644-guzn0peq 120 54 slope slope NN cord-267644-guzn0peq 120 55 ( ( -LRB- cord-267644-guzn0peq 120 56 on on IN cord-267644-guzn0peq 120 57 linear linear JJ cord-267644-guzn0peq 120 58 - - HYPH cord-267644-guzn0peq 120 59 log log NN cord-267644-guzn0peq 120 60 scale scale NN cord-267644-guzn0peq 120 61 ) ) -RRB- cord-267644-guzn0peq 120 62 , , , cord-267644-guzn0peq 120 63 that that RB cord-267644-guzn0peq 120 64 is is RB cord-267644-guzn0peq 120 65 , , , cord-267644-guzn0peq 120 66 the the DT cord-267644-guzn0peq 120 67 exponential exponential JJ cord-267644-guzn0peq 120 68 growth growth NN cord-267644-guzn0peq 120 69 rate rate NN cord-267644-guzn0peq 120 70 λ λ NN cord-267644-guzn0peq 120 71 . . . cord-267644-guzn0peq 121 1 The the DT cord-267644-guzn0peq 121 2 total total JJ cord-267644-guzn0peq 121 3 N N NNP cord-267644-guzn0peq 121 4 t t NN cord-267644-guzn0peq 121 5 and and CC cord-267644-guzn0peq 121 6 new new JJ cord-267644-guzn0peq 121 7 cases case NNS cord-267644-guzn0peq 121 8 ΔN ΔN NNP cord-267644-guzn0peq 121 9 t t NN cord-267644-guzn0peq 121 10 should should MD cord-267644-guzn0peq 121 11 be be VB cord-267644-guzn0peq 121 12 characterized characterize VBN cord-267644-guzn0peq 121 13 by by IN cord-267644-guzn0peq 121 14 the the DT cord-267644-guzn0peq 121 15 same same JJ cord-267644-guzn0peq 121 16 exponential exponential JJ cord-267644-guzn0peq 121 17 rate rate NN cord-267644-guzn0peq 121 18 , , , cord-267644-guzn0peq 121 19 λ λ NN cord-267644-guzn0peq 121 20 , , , cord-267644-guzn0peq 121 21 thus thus RB cord-267644-guzn0peq 121 22 the the DT cord-267644-guzn0peq 121 23 slopes slope NNS cord-267644-guzn0peq 121 24 resulted result VBD cord-267644-guzn0peq 121 25 from from IN cord-267644-guzn0peq 121 26 the the DT cord-267644-guzn0peq 121 27 linear linear JJ cord-267644-guzn0peq 121 28 fits fit NNS cord-267644-guzn0peq 121 29 of of IN cord-267644-guzn0peq 121 30 log log NN cord-267644-guzn0peq 121 31 ( ( -LRB- cord-267644-guzn0peq 121 32 N N NNP cord-267644-guzn0peq 121 33 t t NN cord-267644-guzn0peq 121 34 ) ) -RRB- cord-267644-guzn0peq 121 35 and and CC cord-267644-guzn0peq 121 36 log log VB cord-267644-guzn0peq 121 37 ( ( -LRB- cord-267644-guzn0peq 121 38 ΔN ΔN NNP cord-267644-guzn0peq 121 39 t t NNP cord-267644-guzn0peq 121 40 ) ) -RRB- cord-267644-guzn0peq 121 41 with with IN cord-267644-guzn0peq 121 42 time time NN cord-267644-guzn0peq 121 43 are be VBP cord-267644-guzn0peq 121 44 ( ( -LRB- cord-267644-guzn0peq 121 45 weighted weight VBN cord-267644-guzn0peq 121 46 ) ) -RRB- cord-267644-guzn0peq 121 47 averaged average VBN cord-267644-guzn0peq 121 48 ( ( -LRB- cord-267644-guzn0peq 121 49 Fig Fig NNP cord-267644-guzn0peq 121 50 4 4 CD cord-267644-guzn0peq 121 51 ) ) -RRB- cord-267644-guzn0peq 121 52 . . . cord-267644-guzn0peq 122 1 iii iii NNP cord-267644-guzn0peq 122 2 . . . cord-267644-guzn0peq 123 1 Collect collect VB cord-267644-guzn0peq 123 2 environmental environmental JJ cord-267644-guzn0peq 123 3 temperature temperature NN cord-267644-guzn0peq 123 4 data datum NNS cord-267644-guzn0peq 123 5 , , , cord-267644-guzn0peq 123 6 and and CC cord-267644-guzn0peq 123 7 calculate calculate VB cord-267644-guzn0peq 123 8 the the DT cord-267644-guzn0peq 123 9 temperature temperature NN cord-267644-guzn0peq 123 10 averaged average VBN cord-267644-guzn0peq 123 11 over over IN cord-267644-guzn0peq 123 12 the the DT cord-267644-guzn0peq 123 13 whole whole JJ cord-267644-guzn0peq 123 14 examined examine VBN cord-267644-guzn0peq 123 15 region region NN cord-267644-guzn0peq 123 16 . . . cord-267644-guzn0peq 124 1 The the DT cord-267644-guzn0peq 124 2 incubation incubation NN cord-267644-guzn0peq 124 3 period period NN cord-267644-guzn0peq 124 4 τ τ NN cord-267644-guzn0peq 124 5 is be VBZ cord-267644-guzn0peq 124 6 longer long JJR cord-267644-guzn0peq 124 7 than than IN cord-267644-guzn0peq 124 8 the the DT cord-267644-guzn0peq 124 9 time time NN cord-267644-guzn0peq 124 10 scale scale NN cord-267644-guzn0peq 124 11 of of IN cord-267644-guzn0peq 124 12 a a DT cord-267644-guzn0peq 124 13 single single JJ cord-267644-guzn0peq 124 14 day day NN cord-267644-guzn0peq 124 15 or or CC cord-267644-guzn0peq 124 16 night night NN cord-267644-guzn0peq 124 17 , , , cord-267644-guzn0peq 124 18 thus thus RB cord-267644-guzn0peq 124 19 the the DT cord-267644-guzn0peq 124 20 temperature temperature NN cord-267644-guzn0peq 124 21 is be VBZ cord-267644-guzn0peq 124 22 averaged average VBN cord-267644-guzn0peq 124 23 over over IN cord-267644-guzn0peq 124 24 the the DT cord-267644-guzn0peq 124 25 daily daily JJ cord-267644-guzn0peq 124 26 and and CC cord-267644-guzn0peq 124 27 nightly nightly JJ cord-267644-guzn0peq 124 28 measurements measurement NNS cord-267644-guzn0peq 124 29 . . . cord-267644-guzn0peq 125 1 iv iv LS cord-267644-guzn0peq 125 2 . . . cord-267644-guzn0peq 126 1 Co co NN cord-267644-guzn0peq 126 2 - - NN cord-267644-guzn0peq 126 3 plot plot VB cord-267644-guzn0peq 126 4 all all PDT cord-267644-guzn0peq 126 5 the the DT cord-267644-guzn0peq 126 6 derived derive VBN cord-267644-guzn0peq 126 7 sample sample NN cord-267644-guzn0peq 126 8 values value NNS cord-267644-guzn0peq 126 9 ( ( -LRB- cord-267644-guzn0peq 126 10 Τ±δΤ τ±δτ NN cord-267644-guzn0peq 126 11 , , , cord-267644-guzn0peq 126 12 λ±δλ λ±δλ NNP cord-267644-guzn0peq 126 13 ) ) -RRB- cord-267644-guzn0peq 126 14 , , , cord-267644-guzn0peq 126 15 where where WRB cord-267644-guzn0peq 126 16 each each DT cord-267644-guzn0peq 126 17 pair pair NN cord-267644-guzn0peq 126 18 corresponds correspond VBZ cord-267644-guzn0peq 126 19 to to IN cord-267644-guzn0peq 126 20 each each DT cord-267644-guzn0peq 126 21 examined examine VBN cord-267644-guzn0peq 126 22 region region NN cord-267644-guzn0peq 126 23 ; ; : cord-267644-guzn0peq 126 24 then then RB cord-267644-guzn0peq 126 25 , , , cord-267644-guzn0peq 126 26 apply apply VB cord-267644-guzn0peq 126 27 a a DT cord-267644-guzn0peq 126 28 linear linear JJ cord-267644-guzn0peq 126 29 fitting fitting NN cord-267644-guzn0peq 126 30 in in IN cord-267644-guzn0peq 126 31 order order NN cord-267644-guzn0peq 126 32 to to TO cord-267644-guzn0peq 126 33 derive derive VB cord-267644-guzn0peq 126 34 the the DT cord-267644-guzn0peq 126 35 linear linear JJ cord-267644-guzn0peq 126 36 relationship relationship NN cord-267644-guzn0peq 126 37 between between IN cord-267644-guzn0peq 126 38 T T NNP cord-267644-guzn0peq 126 39 and and CC cord-267644-guzn0peq 126 40 λ λ NNP cord-267644-guzn0peq 126 41 , , , cord-267644-guzn0peq 126 42 as as RB cord-267644-guzn0peq 126 43 well well RB cord-267644-guzn0peq 126 44 as as IN cord-267644-guzn0peq 126 45 , , , cord-267644-guzn0peq 126 46 evaluate evaluate VB cord-267644-guzn0peq 126 47 the the DT cord-267644-guzn0peq 126 48 statistical statistical JJ cord-267644-guzn0peq 126 49 confidence confidence NN cord-267644-guzn0peq 126 50 of of IN cord-267644-guzn0peq 126 51 this this DT cord-267644-guzn0peq 126 52 relationship relationship NN cord-267644-guzn0peq 126 53 ; ; : cord-267644-guzn0peq 126 54 repeat repeat VB cord-267644-guzn0peq 126 55 the the DT cord-267644-guzn0peq 126 56 same same JJ cord-267644-guzn0peq 126 57 for for IN cord-267644-guzn0peq 126 58 all all DT cord-267644-guzn0peq 126 59 US US NNP cord-267644-guzn0peq 126 60 and and CC cord-267644-guzn0peq 126 61 Italian italian JJ cord-267644-guzn0peq 126 62 regions region NNS cord-267644-guzn0peq 126 63 . . . cord-267644-guzn0peq 127 1 v. v. CC cord-267644-guzn0peq 127 2 Determine determine VB cord-267644-guzn0peq 127 3 the the DT cord-267644-guzn0peq 127 4 critical critical JJ cord-267644-guzn0peq 127 5 temperature temperature NN cord-267644-guzn0peq 127 6 T t NN cord-267644-guzn0peq 127 7 C c NN cord-267644-guzn0peq 127 8 for for IN cord-267644-guzn0peq 127 9 which which WDT cord-267644-guzn0peq 127 10 the the DT cord-267644-guzn0peq 127 11 rate rate NN cord-267644-guzn0peq 127 12 becomes become VBZ cord-267644-guzn0peq 127 13 negligible negligible JJ cord-267644-guzn0peq 127 14 ; ; : cord-267644-guzn0peq 127 15 to to TO cord-267644-guzn0peq 127 16 eliminate eliminate VB cord-267644-guzn0peq 127 17 the the DT cord-267644-guzn0peq 127 18 uncertainties uncertainty NNS cord-267644-guzn0peq 127 19 of of IN cord-267644-guzn0peq 127 20 T T NNP cord-267644-guzn0peq 127 21 C C NNP cord-267644-guzn0peq 127 22 as as IN cord-267644-guzn0peq 127 23 a a DT cord-267644-guzn0peq 127 24 fitting fitting JJ cord-267644-guzn0peq 127 25 parameter parameter NN cord-267644-guzn0peq 127 26 , , , cord-267644-guzn0peq 127 27 we -PRON- PRP cord-267644-guzn0peq 127 28 perform perform VBP cord-267644-guzn0peq 127 29 the the DT cord-267644-guzn0peq 127 30 linear linear JJ cord-267644-guzn0peq 127 31 fitting fitting NN cord-267644-guzn0peq 127 32 with with IN cord-267644-guzn0peq 127 33 the the DT cord-267644-guzn0peq 127 34 statistical statistical JJ cord-267644-guzn0peq 127 35 model model NN cord-267644-guzn0peq 127 36 λ λ NN cord-267644-guzn0peq 127 37 = = SYM cord-267644-guzn0peq 127 38 λ λ NN cord-267644-guzn0peq 127 39 0 0 CD cord-267644-guzn0peq 127 40 ( ( -LRB- cord-267644-guzn0peq 127 41 1−Τ 1−τ CD cord-267644-guzn0peq 127 42 / / SYM cord-267644-guzn0peq 127 43 T T NNP cord-267644-guzn0peq 127 44 C C NNP cord-267644-guzn0peq 127 45 ) ) -RRB- cord-267644-guzn0peq 127 46 instead instead RB cord-267644-guzn0peq 127 47 of of IN cord-267644-guzn0peq 128 1 λ λ NN cord-267644-guzn0peq 128 2 = = SYM cord-267644-guzn0peq 128 3 p p NN cord-267644-guzn0peq 128 4 1 1 CD cord-267644-guzn0peq 128 5 + + CC cord-267644-guzn0peq 128 6 p p NN cord-267644-guzn0peq 128 7 2 2 CD cord-267644-guzn0peq 128 8 � � NN cord-267644-guzn0peq 128 9 T. t. NN cord-267644-guzn0peq 128 10 vi vi NN cord-267644-guzn0peq 128 11 . . . cord-267644-guzn0peq 129 1 Repeat repeat NN cord-267644-guzn0peq 129 2 ( ( -LRB- cord-267644-guzn0peq 129 3 iv iv LS cord-267644-guzn0peq 129 4 ) ) -RRB- cord-267644-guzn0peq 129 5 and and CC cord-267644-guzn0peq 129 6 ( ( -LRB- cord-267644-guzn0peq 129 7 v v LS cord-267644-guzn0peq 129 8 ) ) -RRB- cord-267644-guzn0peq 129 9 with with IN cord-267644-guzn0peq 129 10 pairs pair NNS cord-267644-guzn0peq 129 11 of of IN cord-267644-guzn0peq 129 12 ( ( -LRB- cord-267644-guzn0peq 129 13 T T NNP cord-267644-guzn0peq 129 14 -1 -1 NN cord-267644-guzn0peq 129 15 ±δT ±δt NN cord-267644-guzn0peq 129 16 -1 -1 CD cord-267644-guzn0peq 129 17 , , , cord-267644-guzn0peq 129 18 λ±δλ λ±δλ JJ cord-267644-guzn0peq 129 19 ) ) -RRB- cord-267644-guzn0peq 130 1 ; ; : cord-267644-guzn0peq 130 2 we -PRON- PRP cord-267644-guzn0peq 130 3 estimate estimate VBP cord-267644-guzn0peq 130 4 again again RB cord-267644-guzn0peq 130 5 T T NNP cord-267644-guzn0peq 130 6 C C NNP cord-267644-guzn0peq 130 7 by by IN cord-267644-guzn0peq 130 8 performing perform VBG cord-267644-guzn0peq 130 9 the the DT cord-267644-guzn0peq 130 10 linear linear JJ cord-267644-guzn0peq 130 11 fitting fitting NN cord-267644-guzn0peq 130 12 with with IN cord-267644-guzn0peq 130 13 the the DT cord-267644-guzn0peq 130 14 statistical statistical JJ cord-267644-guzn0peq 130 15 model model NN cord-267644-guzn0peq 130 16 λ λ NN cord-267644-guzn0peq 130 17 = = SYM cord-267644-guzn0peq 130 18 λ λ NN cord-267644-guzn0peq 130 19 0 0 CD cord-267644-guzn0peq 130 20 ( ( -LRB- cord-267644-guzn0peq 130 21 -1+Τ -1+Τ NNP cord-267644-guzn0peq 130 22 C C NNP cord-267644-guzn0peq 130 23 /T /T . cord-267644-guzn0peq 130 24 ) ) -RRB- cord-267644-guzn0peq 130 25 instead instead RB cord-267644-guzn0peq 130 26 of of IN cord-267644-guzn0peq 130 27 λ λ NN cord-267644-guzn0peq 130 28 = = SYM cord-267644-guzn0peq 130 29 p p NN cord-267644-guzn0peq 130 30 1 1 CD cord-267644-guzn0peq 130 31 + + CC cord-267644-guzn0peq 130 32 p p NN cord-267644-guzn0peq 130 33 2 2 CD cord-267644-guzn0peq 131 1 � � NNP cord-267644-guzn0peq 131 2 T T NNP cord-267644-guzn0peq 131 3 -1 -1 NN cord-267644-guzn0peq 131 4 . . . cord-267644-guzn0peq 132 1 The the DT cord-267644-guzn0peq 132 2 hypothesis hypothesis NN cord-267644-guzn0peq 132 3 to to TO cord-267644-guzn0peq 132 4 be be VB cord-267644-guzn0peq 132 5 tested test VBN cord-267644-guzn0peq 132 6 is be VBZ cord-267644-guzn0peq 132 7 that that IN cord-267644-guzn0peq 132 8 the the DT cord-267644-guzn0peq 132 9 exponential exponential JJ cord-267644-guzn0peq 132 10 growth growth NN cord-267644-guzn0peq 132 11 rate rate NN cord-267644-guzn0peq 132 12 λ λ NN cord-267644-guzn0peq 132 13 varies vary VBZ cord-267644-guzn0peq 132 14 linearly linearly RB cord-267644-guzn0peq 132 15 with with IN cord-267644-guzn0peq 132 16 temperature temperature NN cord-267644-guzn0peq 132 17 ; ; : cord-267644-guzn0peq 132 18 ( ( -LRB- cord-267644-guzn0peq 132 19 x x NN cord-267644-guzn0peq 132 20 is be VBZ cord-267644-guzn0peq 132 21 set set VBN cord-267644-guzn0peq 132 22 to to TO cord-267644-guzn0peq 132 23 be be VB cord-267644-guzn0peq 132 24 the the DT cord-267644-guzn0peq 132 25 temperature temperature NN cord-267644-guzn0peq 132 26 or or CC cord-267644-guzn0peq 132 27 its -PRON- PRP$ cord-267644-guzn0peq 132 28 inverse inverse NN cord-267644-guzn0peq 132 29 ) ) -RRB- cord-267644-guzn0peq 132 30 . . . cord-267644-guzn0peq 133 1 This this DT cord-267644-guzn0peq 133 2 is be VBZ cord-267644-guzn0peq 133 3 tested test VBN cord-267644-guzn0peq 133 4 by by IN cord-267644-guzn0peq 133 5 examining examine VBG cord-267644-guzn0peq 133 6 the the DT cord-267644-guzn0peq 133 7 chi chi JJ cord-267644-guzn0peq 133 8 - - HYPH cord-267644-guzn0peq 133 9 square square JJ cord-267644-guzn0peq 133 10 corresponding correspond VBG cord-267644-guzn0peq 133 11 to to IN cord-267644-guzn0peq 133 12 the the DT cord-267644-guzn0peq 133 13 fitting fitting NN cord-267644-guzn0peq 133 14 of of IN cord-267644-guzn0peq 133 15 the the DT cord-267644-guzn0peq 133 16 two two CD cord-267644-guzn0peq 133 17 - - HYPH cord-267644-guzn0peq 133 18 parameter parameter NN cord-267644-guzn0peq 133 19 linear linear JJ cord-267644-guzn0peq 133 20 statistical statistical JJ cord-267644-guzn0peq 133 21 model model NN cord-267644-guzn0peq 133 22 λ(x;p λ(x;p CD cord-267644-guzn0peq 133 23 1 1 CD cord-267644-guzn0peq 133 24 , , , cord-267644-guzn0peq 133 25 p p NN cord-267644-guzn0peq 133 26 2 2 CD cord-267644-guzn0peq 133 27 ) ) -RRB- cord-267644-guzn0peq 133 28 = = NFP cord-267644-guzn0peq 134 1 p p NN cord-267644-guzn0peq 134 2 1 1 CD cord-267644-guzn0peq 135 1 + + CC cord-267644-guzn0peq 135 2 p p NN cord-267644-guzn0peq 135 3 2 2 CD cord-267644-guzn0peq 135 4 x x SYM cord-267644-guzn0peq 135 5 to to IN cord-267644-guzn0peq 135 6 the the DT cord-267644-guzn0peq 135 7 given give VBN cord-267644-guzn0peq 135 8 N n CD cord-267644-guzn0peq 135 9 data data NN cord-267644-guzn0peq 135 10 points point NNS cord-267644-guzn0peq 135 11 , , , cord-267644-guzn0peq 135 12 ( ( -LRB- cord-267644-guzn0peq 136 1 The the DT cord-267644-guzn0peq 136 2 number number NN cord-267644-guzn0peq 136 3 of of IN cord-267644-guzn0peq 136 4 data datum NNS cord-267644-guzn0peq 136 5 point point NN cord-267644-guzn0peq 136 6 , , , cord-267644-guzn0peq 136 7 N N NNP cord-267644-guzn0peq 136 8 , , , cord-267644-guzn0peq 136 9 should should MD cord-267644-guzn0peq 136 10 not not RB cord-267644-guzn0peq 136 11 to to TO cord-267644-guzn0peq 136 12 be be VB cord-267644-guzn0peq 136 13 confused confuse VBN cord-267644-guzn0peq 136 14 with with IN cord-267644-guzn0peq 136 15 the the DT cord-267644-guzn0peq 136 16 number number NN cord-267644-guzn0peq 136 17 of of IN cord-267644-guzn0peq 136 18 cases case NNS cord-267644-guzn0peq 136 19 , , , cord-267644-guzn0peq 136 20 N N NNP cord-267644-guzn0peq 136 21 t t NN cord-267644-guzn0peq 136 22 ) ) -RRB- cord-267644-guzn0peq 136 23 . . . cord-267644-guzn0peq 137 1 Therefore therefore RB cord-267644-guzn0peq 137 2 , , , cord-267644-guzn0peq 137 3 we -PRON- PRP cord-267644-guzn0peq 137 4 minimize minimize VBP cord-267644-guzn0peq 137 5 the the DT cord-267644-guzn0peq 137 6 chi chi NNP cord-267644-guzn0peq 137 7 - - HYPH cord-267644-guzn0peq 137 8 square square NNP cord-267644-guzn0peq 137 9 w w NNP cord-267644-guzn0peq 137 10 2 2 CD cord-267644-guzn0peq 137 11 ðp ðp CD cord-267644-guzn0peq 137 12 1 1 CD cord-267644-guzn0peq 137 13 ; ; : cord-267644-guzn0peq 137 14 where where WRB cord-267644-guzn0peq 137 15 the the DT cord-267644-guzn0peq 137 16 total total JJ cord-267644-guzn0peq 137 17 variance variance NN cord-267644-guzn0peq 137 18 that that WDT cord-267644-guzn0peq 137 19 characterize characterize VBP cord-267644-guzn0peq 137 20 each each DT cord-267644-guzn0peq 137 21 data datum NNS cord-267644-guzn0peq 137 22 point point NN cord-267644-guzn0peq 137 23 is be VBZ cord-267644-guzn0peq 137 24 now now RB cord-267644-guzn0peq 137 25 given give VBN cord-267644-guzn0peq 137 26 by by IN cord-267644-guzn0peq 137 27 σ σ NNP cord-267644-guzn0peq 137 28 i i NN cord-267644-guzn0peq 137 29 ( ( -LRB- cord-267644-guzn0peq 137 30 p p NN cord-267644-guzn0peq 137 31 2 2 CD cord-267644-guzn0peq 137 32 ) ) -RRB- cord-267644-guzn0peq 137 33 2 2 CD cord-267644-guzn0peq 137 34 = = NFP cord-267644-guzn0peq 138 1 σ σ NNP cord-267644-guzn0peq 138 2 λi λi IN cord-267644-guzn0peq 138 3 2 2 CD cord-267644-guzn0peq 139 1 + + CC cord-267644-guzn0peq 140 1 p p NN cord-267644-guzn0peq 140 2 2 2 CD cord-267644-guzn0peq 140 3 2 2 CD cord-267644-guzn0peq 141 1 σ σ NNP cord-267644-guzn0peq 141 2 xi xi NNP cord-267644-guzn0peq 141 3 2 2 CD cord-267644-guzn0peq 141 4 [ [ -LRB- cord-267644-guzn0peq 141 5 21 21 CD cord-267644-guzn0peq 141 6 ] ] -RRB- cord-267644-guzn0peq 141 7 . . . cord-267644-guzn0peq 142 1 The the DT cord-267644-guzn0peq 142 2 global global JJ cord-267644-guzn0peq 142 3 minimum minimum NN cord-267644-guzn0peq 142 4 of of IN cord-267644-guzn0peq 142 5 the the DT cord-267644-guzn0peq 142 6 chi chi JJ cord-267644-guzn0peq 142 7 - - HYPH cord-267644-guzn0peq 142 8 square square JJ cord-267644-guzn0peq 142 9 function function NN cord-267644-guzn0peq 142 10 χ χ CD cord-267644-guzn0peq 142 11 2 2 CD cord-267644-guzn0peq 142 12 ( ( -LRB- cord-267644-guzn0peq 142 13 p p NN cord-267644-guzn0peq 142 14 1 1 CD cord-267644-guzn0peq 142 15 , , , cord-267644-guzn0peq 142 16 p p NN cord-267644-guzn0peq 142 17 2 2 CD cord-267644-guzn0peq 142 18 ) ) -RRB- cord-267644-guzn0peq 142 19 gives give VBZ cord-267644-guzn0peq 142 20 the the DT cord-267644-guzn0peq 142 21 optimal optimal JJ cord-267644-guzn0peq 142 22 parameter parameter NN cord-267644-guzn0peq 142 23 values value NNS cord-267644-guzn0peq 142 24 , , , cord-267644-guzn0peq 142 25 ðp ðp NNP cord-267644-guzn0peq 142 26 � � SYM cord-267644-guzn0peq 142 27 1 1 CD cord-267644-guzn0peq 142 28 ; ; : cord-267644-guzn0peq 142 29 p p NN cord-267644-guzn0peq 142 30 � � CD cord-267644-guzn0peq 142 31 2 2 CD cord-267644-guzn0peq 142 32 Þ þ NN cord-267644-guzn0peq 142 33 , , , cord-267644-guzn0peq 142 34 by by IN cord-267644-guzn0peq 142 35 solving solve VBG cord-267644-guzn0peq 142 36 the the DT cord-267644-guzn0peq 142 37 normal normal JJ cord-267644-guzn0peq 142 38 equations equation NNS cord-267644-guzn0peq 143 1 @χ @χ JJ cord-267644-guzn0peq 143 2 2 2 CD cord-267644-guzn0peq 143 3 ( ( -LRB- cord-267644-guzn0peq 143 4 p p NN cord-267644-guzn0peq 143 5 1 1 CD cord-267644-guzn0peq 143 6 , , , cord-267644-guzn0peq 143 7 p p NN cord-267644-guzn0peq 143 8 2 2 CD cord-267644-guzn0peq 143 9 ) ) -RRB- cord-267644-guzn0peq 143 10 /@p /@p . cord-267644-guzn0peq 144 1 1 1 LS cord-267644-guzn0peq 144 2 = = SYM cord-267644-guzn0peq 144 3 0 0 CD cord-267644-guzn0peq 145 1 and and CC cord-267644-guzn0peq 145 2 @χ @χ NNP cord-267644-guzn0peq 145 3 2 2 CD cord-267644-guzn0peq 146 1 ( ( -LRB- cord-267644-guzn0peq 146 2 p p NN cord-267644-guzn0peq 146 3 1 1 CD cord-267644-guzn0peq 146 4 , , , cord-267644-guzn0peq 146 5 p p NN cord-267644-guzn0peq 146 6 2 2 CD cord-267644-guzn0peq 146 7 ) ) -RRB- cord-267644-guzn0peq 146 8 /@p /@p NFP cord-267644-guzn0peq 146 9 2 2 CD cord-267644-guzn0peq 146 10 = = SYM cord-267644-guzn0peq 146 11 0 0 CD cord-267644-guzn0peq 146 12 ; ; : cord-267644-guzn0peq 146 13 the the DT cord-267644-guzn0peq 146 14 minimum minimum JJ cord-267644-guzn0peq 146 15 chi chi JJ cord-267644-guzn0peq 146 16 - - HYPH cord-267644-guzn0peq 146 17 square square JJ cord-267644-guzn0peq 146 18 value value NN cord-267644-guzn0peq 146 19 is be VBZ cord-267644-guzn0peq 146 20 w w NN cord-267644-guzn0peq 147 1 2 2 CD cord-267644-guzn0peq 147 2 min min NN cord-267644-guzn0peq 147 3 ¼ ¼ CD cord-267644-guzn0peq 148 1 w w NN cord-267644-guzn0peq 148 2 2 2 CD cord-267644-guzn0peq 149 1 ðp ðp NNP cord-267644-guzn0peq 149 2 � � NNP cord-267644-guzn0peq 149 3 1 1 CD cord-267644-guzn0peq 150 1 ; ; : cord-267644-guzn0peq 150 2 p p NN cord-267644-guzn0peq 150 3 � � CD cord-267644-guzn0peq 151 1 2 2 CD cord-267644-guzn0peq 151 2 Þ. þ. NN cord-267644-guzn0peq 152 1 The the DT cord-267644-guzn0peq 152 2 statistical statistical JJ cord-267644-guzn0peq 152 3 errors error NNS cord-267644-guzn0peq 152 4 of of IN cord-267644-guzn0peq 152 5 these these DT cord-267644-guzn0peq 152 6 values value NNS cord-267644-guzn0peq 152 7 are be VBP cord-267644-guzn0peq 152 8 given give VBN cord-267644-guzn0peq 152 9 by by IN cord-267644-guzn0peq 152 10 dp dp NNP cord-267644-guzn0peq 152 11 a a NNP cord-267644-guzn0peq 152 12 ; ; : cord-267644-guzn0peq 152 13 _SP cord-267644-guzn0peq 152 14 The the DT cord-267644-guzn0peq 152 15 statistical statistical JJ cord-267644-guzn0peq 152 16 confidence confidence NN cord-267644-guzn0peq 152 17 of of IN cord-267644-guzn0peq 152 18 the the DT cord-267644-guzn0peq 152 19 dependence dependence NN cord-267644-guzn0peq 152 20 of of IN cord-267644-guzn0peq 152 21 the the DT cord-267644-guzn0peq 152 22 exponential exponential JJ cord-267644-guzn0peq 152 23 growth growth NN cord-267644-guzn0peq 152 24 rate rate NN cord-267644-guzn0peq 152 25 on on IN cord-267644-guzn0peq 152 26 the the DT cord-267644-guzn0peq 152 27 environmental environmental JJ cord-267644-guzn0peq 152 28 average average JJ cord-267644-guzn0peq 152 29 temperature temperature NN cord-267644-guzn0peq 152 30 may may MD cord-267644-guzn0peq 152 31 be be VB cord-267644-guzn0peq 152 32 sufficiently sufficiently RB cord-267644-guzn0peq 152 33 high high JJ cord-267644-guzn0peq 152 34 , , , cord-267644-guzn0peq 152 35 leading lead VBG cord-267644-guzn0peq 152 36 to to IN cord-267644-guzn0peq 152 37 the the DT cord-267644-guzn0peq 152 38 acceptance acceptance NN cord-267644-guzn0peq 152 39 of of IN cord-267644-guzn0peq 152 40 any any DT cord-267644-guzn0peq 152 41 of of IN cord-267644-guzn0peq 152 42 the the DT cord-267644-guzn0peq 152 43 two two CD cord-267644-guzn0peq 152 44 statistical statistical JJ cord-267644-guzn0peq 152 45 models model NNS cord-267644-guzn0peq 152 46 . . . cord-267644-guzn0peq 153 1 The the DT cord-267644-guzn0peq 153 2 goodness goodness NN cord-267644-guzn0peq 153 3 of of IN cord-267644-guzn0peq 153 4 the the DT cord-267644-guzn0peq 153 5 fitting fitting NN cord-267644-guzn0peq 153 6 of of IN cord-267644-guzn0peq 153 7 each each DT cord-267644-guzn0peq 153 8 model model NN cord-267644-guzn0peq 153 9 is be VBZ cord-267644-guzn0peq 153 10 evaluated evaluate VBN cord-267644-guzn0peq 153 11 using use VBG cord-267644-guzn0peq 153 12 two two CD cord-267644-guzn0peq 153 13 types type NNS cord-267644-guzn0peq 153 14 of of IN cord-267644-guzn0peq 153 15 statistical statistical JJ cord-267644-guzn0peq 153 16 tests test NNS cord-267644-guzn0peq 153 17 , , , cord-267644-guzn0peq 153 18 the the DT cord-267644-guzn0peq 153 19 " " `` cord-267644-guzn0peq 153 20 reduced reduce VBN cord-267644-guzn0peq 153 21 chi chi NNP cord-267644-guzn0peq 153 22 - - HYPH cord-267644-guzn0peq 153 23 square square NNP cord-267644-guzn0peq 153 24 " " '' cord-267644-guzn0peq 153 25 , , , cord-267644-guzn0peq 153 26 the the DT cord-267644-guzn0peq 153 27 " " `` cord-267644-guzn0peq 153 28 p p NN cord-267644-guzn0peq 153 29 - - HYPH cord-267644-guzn0peq 153 30 value value NN cord-267644-guzn0peq 153 31 of of IN cord-267644-guzn0peq 153 32 the the DT cord-267644-guzn0peq 153 33 extremes extreme NNS cord-267644-guzn0peq 153 34 " " '' cord-267644-guzn0peq 153 35 , , , cord-267644-guzn0peq 153 36 and and CC cord-267644-guzn0peq 153 37 their -PRON- PRP$ cord-267644-guzn0peq 153 38 combination combination NN cord-267644-guzn0peq 153 39 ( ( -LRB- cord-267644-guzn0peq 153 40 e.g. e.g. RB cord-267644-guzn0peq 153 41 , , , cord-267644-guzn0peq 153 42 [ [ -LRB- cord-267644-guzn0peq 153 43 24 24 CD cord-267644-guzn0peq 153 44 ] ] -RRB- cord-267644-guzn0peq 153 45 [ [ -LRB- cord-267644-guzn0peq 153 46 25 25 CD cord-267644-guzn0peq 153 47 ] ] -RRB- cord-267644-guzn0peq 153 48 [ [ -LRB- cord-267644-guzn0peq 153 49 26 26 CD cord-267644-guzn0peq 153 50 ] ] -RRB- cord-267644-guzn0peq 153 51 ) ) -RRB- cord-267644-guzn0peq 153 52 , , , cord-267644-guzn0peq 153 53 while while IN cord-267644-guzn0peq 153 54 Student Student NNP cord-267644-guzn0peq 153 55 's 's POS cord-267644-guzn0peq 153 56 t t NN cord-267644-guzn0peq 153 57 - - HYPH cord-267644-guzn0peq 153 58 test test NN cord-267644-guzn0peq 153 59 is be VBZ cord-267644-guzn0peq 153 60 also also RB cord-267644-guzn0peq 153 61 used use VBN cord-267644-guzn0peq 153 62 for for IN cord-267644-guzn0peq 153 63 evaluating evaluate VBG cord-267644-guzn0peq 153 64 the the DT cord-267644-guzn0peq 153 65 statistical statistical JJ cord-267644-guzn0peq 153 66 confidence confidence NN cord-267644-guzn0peq 153 67 of of IN cord-267644-guzn0peq 153 68 the the DT cord-267644-guzn0peq 153 69 derived derived JJ cord-267644-guzn0peq 153 70 slopes slope NNS cord-267644-guzn0peq 153 71 : : : cord-267644-guzn0peq 153 72 • • NNP cord-267644-guzn0peq 153 73 Reduced reduce VBN cord-267644-guzn0peq 153 74 Chi Chi NNP cord-267644-guzn0peq 153 75 - - HYPH cord-267644-guzn0peq 153 76 Square Square NNP cord-267644-guzn0peq 153 77 : : : cord-267644-guzn0peq 153 78 The the DT cord-267644-guzn0peq 153 79 goodness goodness NN cord-267644-guzn0peq 153 80 of of IN cord-267644-guzn0peq 153 81 fitting fitting NN cord-267644-guzn0peq 153 82 is be VBZ cord-267644-guzn0peq 153 83 estimated estimate VBN cord-267644-guzn0peq 153 84 by by IN cord-267644-guzn0peq 153 85 the the DT cord-267644-guzn0peq 153 86 reduced reduce VBN cord-267644-guzn0peq 153 87 chi chi NNP cord-267644-guzn0peq 153 88 - - JJ cord-267644-guzn0peq 153 89 square square JJ cord-267644-guzn0peq 153 90 value value NN cord-267644-guzn0peq 153 91 , , , cord-267644-guzn0peq 153 92 The the DT cord-267644-guzn0peq 153 93 meaning meaning NN cord-267644-guzn0peq 153 94 of of IN cord-267644-guzn0peq 153 95 w w NN cord-267644-guzn0peq 153 96 2 2 CD cord-267644-guzn0peq 153 97 red red NN cord-267644-guzn0peq 153 98 is be VBZ cord-267644-guzn0peq 153 99 the the DT cord-267644-guzn0peq 153 100 portion portion NN cord-267644-guzn0peq 153 101 of of IN cord-267644-guzn0peq 153 102 w w NN cord-267644-guzn0peq 153 103 2 2 CD cord-267644-guzn0peq 153 104 min min NNP cord-267644-guzn0peq 153 105 that that WDT cord-267644-guzn0peq 153 106 corresponds correspond VBZ cord-267644-guzn0peq 153 107 to to IN cord-267644-guzn0peq 153 108 each each DT cord-267644-guzn0peq 153 109 of of IN cord-267644-guzn0peq 153 110 the the DT cord-267644-guzn0peq 153 111 dof dof NN cord-267644-guzn0peq 153 112 , , , cord-267644-guzn0peq 153 113 and and CC cord-267644-guzn0peq 154 1 w w NN cord-267644-guzn0peq 154 2 2 2 CD cord-267644-guzn0peq 154 3 red red NN cord-267644-guzn0peq 154 4 has have VBZ cord-267644-guzn0peq 154 5 to to IN cord-267644-guzn0peq 154 6 be~1 be~1 NNP cord-267644-guzn0peq 154 7 for for IN cord-267644-guzn0peq 154 8 a a DT cord-267644-guzn0peq 154 9 good good JJ cord-267644-guzn0peq 154 10 fit fit NN cord-267644-guzn0peq 154 11 . . . cord-267644-guzn0peq 155 1 Therefore therefore RB cord-267644-guzn0peq 155 2 , , , cord-267644-guzn0peq 155 3 fitting fitting NN cord-267644-guzn0peq 155 4 is be VBZ cord-267644-guzn0peq 155 5 characterized characterize VBN cord-267644-guzn0peq 155 6 as as IN cord-267644-guzn0peq 155 7 " " `` cord-267644-guzn0peq 155 8 good good JJ cord-267644-guzn0peq 155 9 " " '' cord-267644-guzn0peq 155 10 when when WRB cord-267644-guzn0peq 155 11 w w NN cord-267644-guzn0peq 155 12 2 2 CD cord-267644-guzn0peq 155 13 red~1 red~1 NNP cord-267644-guzn0peq 155 14 , , , cord-267644-guzn0peq 155 15 otherwise otherwise RB cord-267644-guzn0peq 155 16 there there EX cord-267644-guzn0peq 155 17 is be VBZ cord-267644-guzn0peq 155 18 an an DT cord-267644-guzn0peq 155 19 overestimation overestimation NN cord-267644-guzn0peq 155 20 , , , cord-267644-guzn0peq 155 21 w w NN cord-267644-guzn0peq 155 22 2 2 CD cord-267644-guzn0peq 155 23 red red NNP cord-267644-guzn0peq 155 24 < < NNP cord-267644-guzn0peq 155 25 1 1 CD cord-267644-guzn0peq 155 26 , , , cord-267644-guzn0peq 155 27 or or CC cord-267644-guzn0peq 155 28 underestimation underestimation NN cord-267644-guzn0peq 155 29 , , , cord-267644-guzn0peq 155 30 w w NN cord-267644-guzn0peq 155 31 2 2 CD cord-267644-guzn0peq 155 32 red red NNP cord-267644-guzn0peq 155 33 > > XX cord-267644-guzn0peq 155 34 1 1 CD cord-267644-guzn0peq 155 35 , , , cord-267644-guzn0peq 155 36 of of IN cord-267644-guzn0peq 155 37 the the DT cord-267644-guzn0peq 155 38 errors error NNS cord-267644-guzn0peq 155 39 . . . cord-267644-guzn0peq 156 1 One one CD cord-267644-guzn0peq 156 2 order order NN cord-267644-guzn0peq 156 3 of of IN cord-267644-guzn0peq 156 4 magnitude magnitude NN cord-267644-guzn0peq 156 5 less less JJR cord-267644-guzn0peq 156 6 , , , cord-267644-guzn0peq 156 7 w w NN cord-267644-guzn0peq 156 8 2 2 CD cord-267644-guzn0peq 156 9 red red JJ cord-267644-guzn0peq 156 10 = = SYM cord-267644-guzn0peq 156 11 0.1 0.1 CD cord-267644-guzn0peq 156 12 , , , cord-267644-guzn0peq 156 13 or or CC cord-267644-guzn0peq 156 14 more more JJR cord-267644-guzn0peq 156 15 , , , cord-267644-guzn0peq 156 16 w w NN cord-267644-guzn0peq 156 17 2 2 CD cord-267644-guzn0peq 156 18 red red NN cord-267644-guzn0peq 156 19 = = SYM cord-267644-guzn0peq 156 20 10 10 CD cord-267644-guzn0peq 156 21 , , , cord-267644-guzn0peq 156 22 can can MD cord-267644-guzn0peq 156 23 be be VB cord-267644-guzn0peq 156 24 set set VBN cord-267644-guzn0peq 156 25 as as IN cord-267644-guzn0peq 156 26 the the DT cord-267644-guzn0peq 156 27 accepted accept VBN cord-267644-guzn0peq 156 28 limits limit NNS cord-267644-guzn0peq 156 29 , , , cord-267644-guzn0peq 156 30 i.e. i.e. FW cord-267644-guzn0peq 156 31 , , , cord-267644-guzn0peq 156 32 0.1 0.1 CD cord-267644-guzn0peq 156 33 � � SYM cord-267644-guzn0peq 156 34 w w NN cord-267644-guzn0peq 156 35 2 2 CD cord-267644-guzn0peq 156 36 red red NNP cord-267644-guzn0peq 156 37 � � NNP cord-267644-guzn0peq 156 38 10 10 CD cord-267644-guzn0peq 156 39 . . . cord-267644-guzn0peq 157 1 • • NNP cord-267644-guzn0peq 158 1 P p NN cord-267644-guzn0peq 158 2 - - HYPH cord-267644-guzn0peq 158 3 value value NN cord-267644-guzn0peq 158 4 of of IN cord-267644-guzn0peq 158 5 the the DT cord-267644-guzn0peq 158 6 extremes extreme NNS cord-267644-guzn0peq 158 7 : : : cord-267644-guzn0peq 158 8 The the DT cord-267644-guzn0peq 158 9 goodness goodness NN cord-267644-guzn0peq 158 10 of of IN cord-267644-guzn0peq 158 11 fitting fitting NN cord-267644-guzn0peq 158 12 is be VBZ cord-267644-guzn0peq 158 13 evaluated evaluate VBN cord-267644-guzn0peq 158 14 by by IN cord-267644-guzn0peq 158 15 comparing compare VBG cord-267644-guzn0peq 158 16 the the DT cord-267644-guzn0peq 158 17 estimated estimate VBN cord-267644-guzn0peq 158 18 minimized minimize VBN cord-267644-guzn0peq 158 19 chi chi NNP cord-267644-guzn0peq 158 20 - - HYPH cord-267644-guzn0peq 158 21 square square JJ cord-267644-guzn0peq 158 22 value value NN cord-267644-guzn0peq 158 23 , , , cord-267644-guzn0peq 158 24 w w NN cord-267644-guzn0peq 158 25 2 2 CD cord-267644-guzn0peq 158 26 min min NNP cord-267644-guzn0peq 158 27 , , , cord-267644-guzn0peq 158 28 and and CC cord-267644-guzn0peq 158 29 the the DT cord-267644-guzn0peq 158 30 chi chi JJ cord-267644-guzn0peq 158 31 - - HYPH cord-267644-guzn0peq 158 32 square square JJ cord-267644-guzn0peq 158 33 distribution distribution NN cord-267644-guzn0peq 158 34 , , , cord-267644-guzn0peq 158 35 , , , cord-267644-guzn0peq 158 36 that that RB cord-267644-guzn0peq 158 37 is is RB cord-267644-guzn0peq 158 38 , , , cord-267644-guzn0peq 158 39 the the DT cord-267644-guzn0peq 158 40 distribution distribution NN cord-267644-guzn0peq 158 41 of of IN cord-267644-guzn0peq 158 42 all all PDT cord-267644-guzn0peq 158 43 the the DT cord-267644-guzn0peq 158 44 possible possible JJ cord-267644-guzn0peq 158 45 χ χ CD cord-267644-guzn0peq 158 46 2 2 CD cord-267644-guzn0peq 158 47 values value NNS cord-267644-guzn0peq 158 48 ( ( -LRB- cord-267644-guzn0peq 158 49 parameterized parameterize VBN cord-267644-guzn0peq 158 50 by by IN cord-267644-guzn0peq 158 51 the the DT cord-267644-guzn0peq 158 52 dof dof NNP cord-267644-guzn0peq 158 53 = = SYM cord-267644-guzn0peq 158 54 M M NNP cord-267644-guzn0peq 158 55 ) ) -RRB- cord-267644-guzn0peq 158 56 . . . cord-267644-guzn0peq 159 1 The the DT cord-267644-guzn0peq 159 2 likelihood likelihood NN cord-267644-guzn0peq 159 3 of of IN cord-267644-guzn0peq 159 4 having have VBG cord-267644-guzn0peq 159 5 a a DT cord-267644-guzn0peq 159 6 χ χ CD cord-267644-guzn0peq 159 7 2 2 CD cord-267644-guzn0peq 159 8 value value NN cord-267644-guzn0peq 159 9 , , , cord-267644-guzn0peq 159 10 equal equal JJ cord-267644-guzn0peq 159 11 to to IN cord-267644-guzn0peq 159 12 or or CC cord-267644-guzn0peq 159 13 larger large JJR cord-267644-guzn0peq 159 14 than than IN cord-267644-guzn0peq 159 15 the the DT cord-267644-guzn0peq 159 16 estimated estimate VBN cord-267644-guzn0peq 159 17 value value NN cord-267644-guzn0peq 159 18 w w NNP cord-267644-guzn0peq 159 19 2 2 CD cord-267644-guzn0peq 159 20 min min NNP cord-267644-guzn0peq 159 21 , , , cord-267644-guzn0peq 159 22 is be VBZ cord-267644-guzn0peq 159 23 given give VBN cord-267644-guzn0peq 159 24 by by IN cord-267644-guzn0peq 159 25 the the DT cord-267644-guzn0peq 159 26 complementary complementary JJ cord-267644-guzn0peq 159 27 cumulative cumulative JJ cord-267644-guzn0peq 159 28 distribution distribution NN cord-267644-guzn0peq 159 29 . . . cord-267644-guzn0peq 160 1 The the DT cord-267644-guzn0peq 160 2 probability probability NN cord-267644-guzn0peq 160 3 of of IN cord-267644-guzn0peq 160 4 taking take VBG cord-267644-guzn0peq 160 5 a a DT cord-267644-guzn0peq 160 6 result result NN cord-267644-guzn0peq 160 7 χ χ CD cord-267644-guzn0peq 160 8 2 2 CD cord-267644-guzn0peq 160 9 , , , cord-267644-guzn0peq 160 10 larger large JJR cord-267644-guzn0peq 160 11 than than IN cord-267644-guzn0peq 160 12 the the DT cord-267644-guzn0peq 160 13 estimated estimate VBN cord-267644-guzn0peq 160 14 value value NN cord-267644-guzn0peq 160 15 w w NNP cord-267644-guzn0peq 160 16 2 2 CD cord-267644-guzn0peq 160 17 min min NNP cord-267644-guzn0peq 160 18 , , , cord-267644-guzn0peq 160 19 defines define VBZ cord-267644-guzn0peq 160 20 the the DT cord-267644-guzn0peq 160 21 p p NN cord-267644-guzn0peq 160 22 - - HYPH cord-267644-guzn0peq 160 23 value value NN cord-267644-guzn0peq 160 24 that that WDT cord-267644-guzn0peq 160 25 equals equal VBZ cord-267644-guzn0peq 160 26 The the DT cord-267644-guzn0peq 160 27 larger large JJR cord-267644-guzn0peq 160 28 the the DT cord-267644-guzn0peq 160 29 p p NN cord-267644-guzn0peq 160 30 - - HYPH cord-267644-guzn0peq 160 31 value value NN cord-267644-guzn0peq 160 32 , , , cord-267644-guzn0peq 160 33 the the DT cord-267644-guzn0peq 160 34 better well JJR cord-267644-guzn0peq 160 35 the the DT cord-267644-guzn0peq 160 36 fitting fitting NN cord-267644-guzn0peq 160 37 . . . cord-267644-guzn0peq 161 1 According accord VBG cord-267644-guzn0peq 161 2 to to IN cord-267644-guzn0peq 161 3 this this DT cord-267644-guzn0peq 161 4 method method NN cord-267644-guzn0peq 161 5 , , , cord-267644-guzn0peq 161 6 the the DT cord-267644-guzn0peq 161 7 probability probability NN cord-267644-guzn0peq 161 8 of of IN cord-267644-guzn0peq 161 9 taking take VBG cord-267644-guzn0peq 161 10 a a DT cord-267644-guzn0peq 161 11 result result NN cord-267644-guzn0peq 161 12 with with IN cord-267644-guzn0peq 161 13 χ χ CD cord-267644-guzn0peq 161 14 2 2 CD cord-267644-guzn0peq 161 15 being be VBG cord-267644-guzn0peq 161 16 extremer extreme JJR cord-267644-guzn0peq 161 17 than than IN cord-267644-guzn0peq 161 18 the the DT cord-267644-guzn0peq 161 19 observed observed JJ cord-267644-guzn0peq 161 20 value value NN cord-267644-guzn0peq 161 21 w w NNP cord-267644-guzn0peq 161 22 2 2 CD cord-267644-guzn0peq 161 23 min min NNP cord-267644-guzn0peq 161 24 , , , cord-267644-guzn0peq 161 25 defines define VBZ cord-267644-guzn0peq 161 26 the the DT cord-267644-guzn0peq 161 27 p p NN cord-267644-guzn0peq 161 28 - - HYPH cord-267644-guzn0peq 161 29 value value NN cord-267644-guzn0peq 161 30 of of IN cord-267644-guzn0peq 161 31 the the DT cord-267644-guzn0peq 161 32 extremes extreme NNS cord-267644-guzn0peq 161 33 ; ; : cord-267644-guzn0peq 161 34 this this DT cord-267644-guzn0peq 161 35 equals equal VBZ cord-267644-guzn0peq 161 36 the the DT cord-267644-guzn0peq 161 37 minimum minimum NN cord-267644-guzn0peq 161 38 between between IN cord-267644-guzn0peq 161 39 the the DT cord-267644-guzn0peq 161 40 two two CD cord-267644-guzn0peq 161 41 probabilities probability NNS cord-267644-guzn0peq 161 42 , , , cord-267644-guzn0peq 161 43 Pð0 pð0 CD cord-267644-guzn0peq 161 44 � � . cord-267644-guzn0peq 162 1 w w NN cord-267644-guzn0peq 162 2 2 2 CD cord-267644-guzn0peq 162 3 � � . cord-267644-guzn0peq 163 1 w w NN cord-267644-guzn0peq 163 2 2 2 CD cord-267644-guzn0peq 163 3 min min NNP cord-267644-guzn0peq 163 4 Þ Þ NNP cord-267644-guzn0peq 163 5 and and CC cord-267644-guzn0peq 163 6 its -PRON- PRP$ cord-267644-guzn0peq 163 7 complementary complementary JJ cord-267644-guzn0peq 163 8 , , , cord-267644-guzn0peq 163 9 Pðw Pðw NNP cord-267644-guzn0peq 163 10 2 2 CD cord-267644-guzn0peq 163 11 min min NNP cord-267644-guzn0peq 163 12 � � NNP cord-267644-guzn0peq 163 13 w w NN cord-267644-guzn0peq 163 14 2 2 CD cord-267644-guzn0peq 163 15 < < XX cord-267644-guzn0peq 163 16 1Þ. 1þ. CD cord-267644-guzn0peq 163 17 Fits fit NNS cord-267644-guzn0peq 163 18 associated associate VBN cord-267644-guzn0peq 163 19 with with IN cord-267644-guzn0peq 163 20 p p NN cord-267644-guzn0peq 163 21 - - HYPH cord-267644-guzn0peq 163 22 values value NNS cord-267644-guzn0peq 163 23 smaller small JJR cord-267644-guzn0peq 163 24 than than IN cord-267644-guzn0peq 163 25 the the DT cord-267644-guzn0peq 163 26 significance significance NN cord-267644-guzn0peq 163 27 level level NN cord-267644-guzn0peq 163 28 of of IN cord-267644-guzn0peq 163 29 0.05 0.05 CD cord-267644-guzn0peq 163 30 are be VBP cord-267644-guzn0peq 163 31 typically typically RB cord-267644-guzn0peq 163 32 rejected reject VBN cord-267644-guzn0peq 163 33 . . . cord-267644-guzn0peq 164 1 • • NNP cord-267644-guzn0peq 165 1 Combined combined JJ cord-267644-guzn0peq 165 2 P p NN cord-267644-guzn0peq 165 3 - - HYPH cord-267644-guzn0peq 165 4 value value NN cord-267644-guzn0peq 165 5 and and CC cord-267644-guzn0peq 165 6 Chi Chi NNP cord-267644-guzn0peq 165 7 - - HYPH cord-267644-guzn0peq 165 8 Square Square NNP cord-267644-guzn0peq 166 1 : : : cord-267644-guzn0peq 166 2 The the DT cord-267644-guzn0peq 166 3 p p NN cord-267644-guzn0peq 166 4 - - HYPH cord-267644-guzn0peq 166 5 value value NN cord-267644-guzn0peq 166 6 of of IN cord-267644-guzn0peq 166 7 the the DT cord-267644-guzn0peq 166 8 extremes extreme NNS cord-267644-guzn0peq 166 9 has have VBZ cord-267644-guzn0peq 166 10 very very RB cord-267644-guzn0peq 166 11 similar similar JJ cord-267644-guzn0peq 166 12 behavior behavior NN cord-267644-guzn0peq 166 13 with with IN cord-267644-guzn0peq 166 14 the the DT cord-267644-guzn0peq 166 15 reduced reduce VBN cord-267644-guzn0peq 166 16 chi chi NN cord-267644-guzn0peq 166 17 - - HYPH cord-267644-guzn0peq 166 18 square square JJ cord-267644-guzn0peq 166 19 [ [ -LRB- cord-267644-guzn0peq 166 20 27 27 CD cord-267644-guzn0peq 166 21 , , , cord-267644-guzn0peq 166 22 28 28 CD cord-267644-guzn0peq 166 23 ] ] -RRB- cord-267644-guzn0peq 166 24 , , , cord-267644-guzn0peq 166 25 because because IN cord-267644-guzn0peq 166 26 , , , cord-267644-guzn0peq 166 27 ( ( -LRB- cord-267644-guzn0peq 166 28 i i NN cord-267644-guzn0peq 166 29 ) ) -RRB- cord-267644-guzn0peq 166 30 the the DT cord-267644-guzn0peq 166 31 p p NN cord-267644-guzn0peq 166 32 - - HYPH cord-267644-guzn0peq 166 33 value value NN cord-267644-guzn0peq 166 34 attains attain VBZ cord-267644-guzn0peq 166 35 the the DT cord-267644-guzn0peq 166 36 optimal optimal JJ cord-267644-guzn0peq 166 37 value value NN cord-267644-guzn0peq 166 38 ( ( -LRB- cord-267644-guzn0peq 166 39 p p NN cord-267644-guzn0peq 166 40 = = SYM cord-267644-guzn0peq 166 41 0.5 0.5 CD cord-267644-guzn0peq 166 42 ) ) -RRB- cord-267644-guzn0peq 166 43 when when WRB cord-267644-guzn0peq 166 44 chi chi NNP cord-267644-guzn0peq 166 45 - - HYPH cord-267644-guzn0peq 166 46 square square NNP cord-267644-guzn0peq 166 47 does do VBZ cord-267644-guzn0peq 166 48 ( ( -LRB- cord-267644-guzn0peq 166 49 w w NN cord-267644-guzn0peq 166 50 2 2 CD cord-267644-guzn0peq 166 51 red red JJ cord-267644-guzn0peq 166 52 = = SYM cord-267644-guzn0peq 166 53 1 1 CD cord-267644-guzn0peq 166 54 ) ) -RRB- cord-267644-guzn0peq 166 55 , , , cord-267644-guzn0peq 166 56 ( ( -LRB- cord-267644-guzn0peq 166 57 ii ii NN cord-267644-guzn0peq 166 58 ) ) -RRB- cord-267644-guzn0peq 166 59 larger large JJR cord-267644-guzn0peq 166 60 values value NNS cord-267644-guzn0peq 166 61 of of IN cord-267644-guzn0peq 166 62 1 1 CD cord-267644-guzn0peq 166 63 - - HYPH cord-267644-guzn0peq 166 64 2p 2p CD cord-267644-guzn0peq 166 65 corresponds correspond NNS cord-267644-guzn0peq 166 66 to to IN cord-267644-guzn0peq 166 67 larger large JJR cord-267644-guzn0peq 166 68 values value NNS cord-267644-guzn0peq 166 69 of of IN cord-267644-guzn0peq 166 70 jw jw NNP cord-267644-guzn0peq 166 71 2 2 CD cord-267644-guzn0peq 166 72 red red NNP cord-267644-guzn0peq 166 73 À à NN cord-267644-guzn0peq 166 74 1j 1j CD cord-267644-guzn0peq 166 75 , , , cord-267644-guzn0peq 166 76 ( ( -LRB- cord-267644-guzn0peq 166 77 iii iii NN cord-267644-guzn0peq 166 78 ) ) -RRB- cord-267644-guzn0peq 167 1 both both DT cord-267644-guzn0peq 167 2 fractions fraction NNS cord-267644-guzn0peq 167 3 ( ( -LRB- cord-267644-guzn0peq 167 4 1−2p)/(1 1−2p)/(1 NNP cord-267644-guzn0peq 167 5 + + SYM cord-267644-guzn0peq 167 6 2p 2p CD cord-267644-guzn0peq 167 7 ) ) -RRB- cord-267644-guzn0peq 167 8 and and CC cord-267644-guzn0peq 167 9 j1 j1 NNP cord-267644-guzn0peq 167 10 À À NNP cord-267644-guzn0peq 167 11 w w NNP cord-267644-guzn0peq 167 12 2 2 CD cord-267644-guzn0peq 167 13 red red NNP cord-267644-guzn0peq 167 14 j j NNP cord-267644-guzn0peq 167 15 = = SYM cord-267644-guzn0peq 167 16 ð1 ð1 NNP cord-267644-guzn0peq 168 1 þ þ NNP cord-267644-guzn0peq 168 2 w w NN cord-267644-guzn0peq 168 3 2 2 CD cord-267644-guzn0peq 168 4 red red JJ cord-267644-guzn0peq 168 5 Þ þ CD cord-267644-guzn0peq 168 6 range range VBP cord-267644-guzn0peq 168 7 from from IN cord-267644-guzn0peq 168 8 0 0 CD cord-267644-guzn0peq 168 9 to to IN cord-267644-guzn0peq 168 10 1 1 CD cord-267644-guzn0peq 168 11 , , , cord-267644-guzn0peq 168 12 reduced reduce VBN cord-267644-guzn0peq 168 13 to to IN cord-267644-guzn0peq 168 14 9/11 9/11 CD cord-267644-guzn0peq 168 15 when when WRB cord-267644-guzn0peq 168 16 the the DT cord-267644-guzn0peq 168 17 accepted accept VBN cord-267644-guzn0peq 168 18 limits limit NNS cord-267644-guzn0peq 168 19 , , , cord-267644-guzn0peq 168 20 p p NN cord-267644-guzn0peq 168 21 = = SYM cord-267644-guzn0peq 168 22 0.05 0.05 CD cord-267644-guzn0peq 168 23 or or CC cord-267644-guzn0peq 168 24 0.1 0.1 CD cord-267644-guzn0peq 168 25 � � NFP cord-267644-guzn0peq 169 1 w w NN cord-267644-guzn0peq 169 2 2 2 CD cord-267644-guzn0peq 169 3 red red NNP cord-267644-guzn0peq 169 4 � � NNP cord-267644-guzn0peq 169 5 10 10 CD cord-267644-guzn0peq 169 6 , , , cord-267644-guzn0peq 169 7 are be VBP cord-267644-guzn0peq 169 8 reached reach VBN cord-267644-guzn0peq 169 9 . . . cord-267644-guzn0peq 170 1 Then then RB cord-267644-guzn0peq 170 2 , , , cord-267644-guzn0peq 170 3 a a DT cord-267644-guzn0peq 170 4 combined combined JJ cord-267644-guzn0peq 170 5 measure measure NN cord-267644-guzn0peq 170 6 can can MD cord-267644-guzn0peq 170 7 be be VB cord-267644-guzn0peq 170 8 defined define VBN cord-267644-guzn0peq 170 9 by by IN cord-267644-guzn0peq 170 10 the the DT cord-267644-guzn0peq 170 11 sum sum NN cord-267644-guzn0peq 170 12 of of IN cord-267644-guzn0peq 170 13 the the DT cord-267644-guzn0peq 170 14 squares square NNS cord-267644-guzn0peq 170 15 of of IN cord-267644-guzn0peq 170 16 these these DT cord-267644-guzn0peq 170 17 fractions fraction NNS cord-267644-guzn0peq 170 18 , , , cord-267644-guzn0peq 170 19 i.e. i.e. FW cord-267644-guzn0peq 170 20 , , , cord-267644-guzn0peq 170 21 ffi ffi NNP cord-267644-guzn0peq 170 22 ffi ffi NNP cord-267644-guzn0peq 170 23 ffi ffi NNP cord-267644-guzn0peq 170 24 ffi ffi NNP cord-267644-guzn0peq 170 25 ffi ffi NNP cord-267644-guzn0peq 170 26 ffi ffi NNP cord-267644-guzn0peq 170 27 ffi ffi NNP cord-267644-guzn0peq 170 28 ffi ffi NNP cord-267644-guzn0peq 170 29 ffi ffi NNP cord-267644-guzn0peq 170 30 ffi ffi NNP cord-267644-guzn0peq 170 31 ffi ffi NNP cord-267644-guzn0peq 170 32 ffi ffi NNP cord-267644-guzn0peq 170 33 ffi ffi NNP cord-267644-guzn0peq 170 34 ffi ffi NNP cord-267644-guzn0peq 170 35 ffi ffi NNP cord-267644-guzn0peq 170 36 ffi ffi NNP cord-267644-guzn0peq 170 37 ffi ffi NNP cord-267644-guzn0peq 170 38 ffi ffi NNP cord-267644-guzn0peq 170 39 ffi ffi NNP cord-267644-guzn0peq 170 40 ffi ffi NNP cord-267644-guzn0peq 170 41 ffi ffi NNP cord-267644-guzn0peq 170 42 ffi ffi NNP cord-267644-guzn0peq 170 43 ffi ffi NNP cord-267644-guzn0peq 170 44 ffi ffi NNP cord-267644-guzn0peq 170 45 ffi ffi NNP cord-267644-guzn0peq 170 46 ffi ffi NNP cord-267644-guzn0peq 170 47 ffi ffi NNP cord-267644-guzn0peq 170 48 ffi ffi NNP cord-267644-guzn0peq 170 49 ffi ffi NNP cord-267644-guzn0peq 170 50 ffi ffi NNP cord-267644-guzn0peq 170 51 ffi ffi NNP cord-267644-guzn0peq 170 52 ffi ffi NNP cord-267644-guzn0peq 170 53 ffi ffi NNP cord-267644-guzn0peq 170 54 ffi ffi NNP cord-267644-guzn0peq 170 55 ffi ffi NNP cord-267644-guzn0peq 170 56 ffi ffi NNP cord-267644-guzn0peq 170 57 ffi ffi NNP cord-267644-guzn0peq 170 58 ffi ffi NNP cord-267644-guzn0peq 170 59 ffi ffi NNP cord-267644-guzn0peq 170 60 ffi ffi NNP cord-267644-guzn0peq 170 61 ffi ffi NNP cord-267644-guzn0peq 170 62 ffi ffi NNP cord-267644-guzn0peq 170 63 ffi ffi NNP cord-267644-guzn0peq 170 64 ffi ffi NNP cord-267644-guzn0peq 170 65 ffi ffi NNP cord-267644-guzn0peq 170 66 ffi ffi NNP cord-267644-guzn0peq 170 67 ffi ffi NNP cord-267644-guzn0peq 170 68 ffi ffi NNP cord-267644-guzn0peq 170 69 ffi ffi NNP cord-267644-guzn0peq 170 70 ffi ffi NNP cord-267644-guzn0peq 170 71 ffi ffi NNP cord-267644-guzn0peq 170 72 ffi ffi NNP cord-267644-guzn0peq 170 73 ffi ffi NNP cord-267644-guzn0peq 170 74 ffi ffi NNP cord-267644-guzn0peq 170 75 ffi ffi NNP cord-267644-guzn0peq 170 76 ffi ffi NNP cord-267644-guzn0peq 170 77 ffi ffi NNP cord-267644-guzn0peq 170 78 ffi ffi NNP cord-267644-guzn0peq 170 79 ffi ffi NNP cord-267644-guzn0peq 170 80 ffi ffi NNP cord-267644-guzn0peq 170 81 ffi ffi NNP cord-267644-guzn0peq 170 82 ffi ffi NNP cord-267644-guzn0peq 170 83 ffi ffi NNP cord-267644-guzn0peq 170 84 ffi ffi NNP cord-267644-guzn0peq 170 85 ffi ffi NNP cord-267644-guzn0peq 170 86 ffi ffi NNP cord-267644-guzn0peq 170 87 ffi ffi NNP cord-267644-guzn0peq 170 88 ffi ffi NNP cord-267644-guzn0peq 170 89 ffi ffi NNP cord-267644-guzn0peq 170 90 ffi ffi NNP cord-267644-guzn0peq 170 91 ffi ffi NNP cord-267644-guzn0peq 170 92 ffi ffi NNP cord-267644-guzn0peq 170 93 ffi ffi NNP cord-267644-guzn0peq 170 94 ffi ffi NNP cord-267644-guzn0peq 170 95 ffi ffi NNP cord-267644-guzn0peq 170 96 ffi ffi NNP cord-267644-guzn0peq 170 97 ffi ffi NNP cord-267644-guzn0peq 170 98 ffi ffi NNP cord-267644-guzn0peq 170 99 ffi ffi NNP cord-267644-guzn0peq 170 100 ffi ffi NNP cord-267644-guzn0peq 170 101 ffi ffi NNP cord-267644-guzn0peq 170 102 ffi ffi NNP cord-267644-guzn0peq 170 103 ffi ffi NNP cord-267644-guzn0peq 170 104 ffi ffi NNP cord-267644-guzn0peq 170 105 ffi ffi NNP cord-267644-guzn0peq 170 106 ffi ffi NNP cord-267644-guzn0peq 170 107 ffi ffi NNP cord-267644-guzn0peq 170 108 ffi ffi NNP cord-267644-guzn0peq 170 109 ffi ffi NNP cord-267644-guzn0peq 170 110 ffi ffi NNP cord-267644-guzn0peq 170 111 ½ð1 ½ð1 NNP cord-267644-guzn0peq 170 112 À À NNP cord-267644-guzn0peq 170 113 2pÞ= 2pþ= CD cord-267644-guzn0peq 171 1 ð1 ð1 NNP cord-267644-guzn0peq 171 2 þ þ NNP cord-267644-guzn0peq 171 3 2pÞ 2pþ CD cord-267644-guzn0peq 171 4 � � SYM cord-267644-guzn0peq 171 5 2 2 CD cord-267644-guzn0peq 171 6 þ þ NNP cord-267644-guzn0peq 171 7 ½ð1 ½ð1 NNP cord-267644-guzn0peq 171 8 À à NN cord-267644-guzn0peq 171 9 w w NN cord-267644-guzn0peq 171 10 2 2 CD cord-267644-guzn0peq 172 1 red red NNP cord-267644-guzn0peq 172 2 Þ Þ NNP cord-267644-guzn0peq 172 3 = = SYM cord-267644-guzn0peq 172 4 ð1 ð1 NNP cord-267644-guzn0peq 173 1 þ þ NNP cord-267644-guzn0peq 173 2 w w NN cord-267644-guzn0peq 173 3 2 2 CD cord-267644-guzn0peq 173 4 red red JJ cord-267644-guzn0peq 173 5 Þ Þ NNP cord-267644-guzn0peq 173 6 � � NNP cord-267644-guzn0peq 173 7 2 2 CD cord-267644-guzn0peq 173 8 q q NN cord-267644-guzn0peq 173 9 . . . cord-267644-guzn0peq 174 1 • • NNP cord-267644-guzn0peq 175 1 Student student NN cord-267644-guzn0peq 175 2 's 's POS cord-267644-guzn0peq 175 3 t t NN cord-267644-guzn0peq 175 4 - - HYPH cord-267644-guzn0peq 175 5 test test NN cord-267644-guzn0peq 175 6 : : : cord-267644-guzn0peq 175 7 This this DT cord-267644-guzn0peq 175 8 is be VBZ cord-267644-guzn0peq 175 9 another another DT cord-267644-guzn0peq 175 10 test test NN cord-267644-guzn0peq 175 11 for for IN cord-267644-guzn0peq 175 12 evaluating evaluate VBG cord-267644-guzn0peq 175 13 the the DT cord-267644-guzn0peq 175 14 statistical statistical JJ cord-267644-guzn0peq 175 15 confidence confidence NN cord-267644-guzn0peq 175 16 of of IN cord-267644-guzn0peq 175 17 the the DT cord-267644-guzn0peq 175 18 slope slope NN cord-267644-guzn0peq 175 19 derived derive VBN cord-267644-guzn0peq 175 20 from from IN cord-267644-guzn0peq 175 21 the the DT cord-267644-guzn0peq 175 22 linear linear JJ cord-267644-guzn0peq 175 23 fitting fitting NN cord-267644-guzn0peq 175 24 of of IN cord-267644-guzn0peq 175 25 the the DT cord-267644-guzn0peq 175 26 temperature temperature NN cord-267644-guzn0peq 175 27 - - HYPH cord-267644-guzn0peq 175 28 rate rate NN cord-267644-guzn0peq 175 29 sample sample NN cord-267644-guzn0peq 175 30 points point NNS cord-267644-guzn0peq 175 31 ( ( -LRB- cord-267644-guzn0peq 175 32 T t NN cord-267644-guzn0peq 175 33 i i PRP cord-267644-guzn0peq 175 34 ±δT ±δt VBP cord-267644-guzn0peq 175 35 i i PRP cord-267644-guzn0peq 175 36 , , , cord-267644-guzn0peq 175 37 λ λ NN cord-267644-guzn0peq 176 1 i i PRP cord-267644-guzn0peq 176 2 ±δλ ±δλ NNP cord-267644-guzn0peq 176 3 i i NN cord-267644-guzn0peq 176 4 ) ) -RRB- cord-267644-guzn0peq 177 1 and and CC cord-267644-guzn0peq 177 2 , , , cord-267644-guzn0peq 177 3 λ λ NN cord-267644-guzn0peq 177 4 i i NN cord-267644-guzn0peq 177 5 ±δλ ±δλ NNP cord-267644-guzn0peq 178 1 i i PRP cord-267644-guzn0peq 178 2 ) ) -RRB- cord-267644-guzn0peq 178 3 . . . cord-267644-guzn0peq 179 1 We -PRON- PRP cord-267644-guzn0peq 179 2 examine examine VBP cord-267644-guzn0peq 179 3 , , , cord-267644-guzn0peq 179 4 whether whether IN cord-267644-guzn0peq 179 5 the the DT cord-267644-guzn0peq 179 6 slope slope NN cord-267644-guzn0peq 179 7 p p NN cord-267644-guzn0peq 179 8 2 2 CD cord-267644-guzn0peq 179 9 ±δp ±δp NN cord-267644-guzn0peq 179 10 2 2 CD cord-267644-guzn0peq 179 11 has have VBZ cord-267644-guzn0peq 179 12 significant significant JJ cord-267644-guzn0peq 179 13 difference difference NN cord-267644-guzn0peq 179 14 from from IN cord-267644-guzn0peq 179 15 the the DT cord-267644-guzn0peq 179 16 zero zero CD cord-267644-guzn0peq 179 17 slope slope NN cord-267644-guzn0peq 179 18 ( ( -LRB- cord-267644-guzn0peq 179 19 null null JJ cord-267644-guzn0peq 179 20 hypothesis hypothesis NN cord-267644-guzn0peq 179 21 : : : cord-267644-guzn0peq 179 22 slope slope NN cord-267644-guzn0peq 179 23 is be VBZ cord-267644-guzn0peq 179 24 zero zero CD cord-267644-guzn0peq 179 25 ) ) -RRB- cord-267644-guzn0peq 179 26 , , , cord-267644-guzn0peq 179 27 by by IN cord-267644-guzn0peq 179 28 performing perform VBG cord-267644-guzn0peq 179 29 the the DT cord-267644-guzn0peq 179 30 Student Student NNP cord-267644-guzn0peq 179 31 's 's POS cord-267644-guzn0peq 179 32 t t NN cord-267644-guzn0peq 179 33 - - HYPH cord-267644-guzn0peq 179 34 test test NN cord-267644-guzn0peq 179 35 with with IN cord-267644-guzn0peq 179 36 t t NNP cord-267644-guzn0peq 179 37 m m NN cord-267644-guzn0peq 179 38 = = SYM cord-267644-guzn0peq 179 39 p p NN cord-267644-guzn0peq 179 40 2 2 CD cord-267644-guzn0peq 179 41 /δp /δp SYM cord-267644-guzn0peq 179 42 2 2 CD cord-267644-guzn0peq 179 43 , , , cord-267644-guzn0peq 179 44 where where WRB cord-267644-guzn0peq 179 45 the the DT cord-267644-guzn0peq 179 46 corresponding corresponding JJ cord-267644-guzn0peq 179 47 p p NN cord-267644-guzn0peq 179 48 - - HYPH cord-267644-guzn0peq 179 49 value value NN cord-267644-guzn0peq 179 50 is be VBZ cord-267644-guzn0peq 179 51 derived derive VBN cord-267644-guzn0peq 179 52 from from IN cord-267644-guzn0peq 179 53 the the DT cord-267644-guzn0peq 179 54 integration integration NN cord-267644-guzn0peq 179 55 of of IN cord-267644-guzn0peq 179 56 t t NN cord-267644-guzn0peq 179 57 - - HYPH cord-267644-guzn0peq 179 58 distribution distribution NN cord-267644-guzn0peq 179 59 P p NN cord-267644-guzn0peq 179 60 t t NN cord-267644-guzn0peq 179 61 ðt ðt NN cord-267644-guzn0peq 179 62 ; ; : cord-267644-guzn0peq 179 63 MÞ MÞ NNP cord-267644-guzn0peq 179 64 ¼ ¼ NNP cord-267644-guzn0peq 179 65 for for IN cord-267644-guzn0peq 179 66 t t NN cord-267644-guzn0peq 179 67 � � . cord-267644-guzn0peq 180 1 t t NNP cord-267644-guzn0peq 180 2 m m NNP cord-267644-guzn0peq 181 1 < < NNP cord-267644-guzn0peq 181 2 1 1 CD cord-267644-guzn0peq 181 3 , , , cord-267644-guzn0peq 181 4 i.e. i.e. FW cord-267644-guzn0peq 181 5 , , , cord-267644-guzn0peq 181 6 p p NN cord-267644-guzn0peq 181 7 t t NN cord-267644-guzn0peq 181 8 ðt ðt NN cord-267644-guzn0peq 181 9 m m NN cord-267644-guzn0peq 181 10 ; ; : cord-267644-guzn0peq 181 11 MÞ MÞ NNP cord-267644-guzn0peq 181 12 ¼ ¼ NNP cord-267644-guzn0peq 181 13 R r NN cord-267644-guzn0peq 181 14 1 1 CD cord-267644-guzn0peq 181 15 t t NN cord-267644-guzn0peq 181 16 m m NN cord-267644-guzn0peq 181 17 P p NN cord-267644-guzn0peq 181 18 t t NN cord-267644-guzn0peq 181 19 ðt ðt NN cord-267644-guzn0peq 181 20 ; ; : cord-267644-guzn0peq 181 21 MÞdt MÞdt NNP cord-267644-guzn0peq 181 22 . . . cord-267644-guzn0peq 182 1 The the DT cord-267644-guzn0peq 182 2 Student Student NNP cord-267644-guzn0peq 182 3 's 's POS cord-267644-guzn0peq 182 4 t t NN cord-267644-guzn0peq 182 5 - - HYPH cord-267644-guzn0peq 182 6 test test NN cord-267644-guzn0peq 182 7 is be VBZ cord-267644-guzn0peq 182 8 not not RB cord-267644-guzn0peq 182 9 passed pass VBN cord-267644-guzn0peq 182 10 for for IN cord-267644-guzn0peq 182 11 the the DT cord-267644-guzn0peq 182 12 null null JJ cord-267644-guzn0peq 182 13 hypothesis hypothesis NN cord-267644-guzn0peq 182 14 that that WDT cord-267644-guzn0peq 182 15 the the DT cord-267644-guzn0peq 182 16 examined examine VBN cord-267644-guzn0peq 182 17 slope slope NN cord-267644-guzn0peq 182 18 equals equal VBZ cord-267644-guzn0peq 182 19 zero zero CD cord-267644-guzn0peq 182 20 , , , cord-267644-guzn0peq 182 21 when when WRB cord-267644-guzn0peq 182 22 the the DT cord-267644-guzn0peq 182 23 corresponding corresponding JJ cord-267644-guzn0peq 182 24 p p NN cord-267644-guzn0peq 182 25 t t NN cord-267644-guzn0peq 182 26 -value -value NN cord-267644-guzn0peq 182 27 is be VBZ cord-267644-guzn0peq 182 28 smaller small JJR cord-267644-guzn0peq 182 29 than than IN cord-267644-guzn0peq 182 30 the the DT cord-267644-guzn0peq 182 31 acceptable acceptable JJ cord-267644-guzn0peq 182 32 confidence confidence NN cord-267644-guzn0peq 182 33 limit limit NN cord-267644-guzn0peq 182 34 of of IN cord-267644-guzn0peq 182 35 0.05 0.05 CD cord-267644-guzn0peq 182 36 ; ; : cord-267644-guzn0peq 182 37 then then RB cord-267644-guzn0peq 182 38 , , , cord-267644-guzn0peq 182 39 the the DT cord-267644-guzn0peq 182 40 null null JJ cord-267644-guzn0peq 182 41 hypothesis hypothesis NN cord-267644-guzn0peq 182 42 is be VBZ cord-267644-guzn0peq 182 43 rejected reject VBN cord-267644-guzn0peq 182 44 , , , cord-267644-guzn0peq 182 45 imposing impose VBG cord-267644-guzn0peq 182 46 that that IN cord-267644-guzn0peq 182 47 the the DT cord-267644-guzn0peq 182 48 slope slope NN cord-267644-guzn0peq 182 49 has have VBZ cord-267644-guzn0peq 182 50 statistically statistically RB cord-267644-guzn0peq 182 51 significant significant JJ cord-267644-guzn0peq 182 52 difference difference NN cord-267644-guzn0peq 182 53 for for IN cord-267644-guzn0peq 182 54 zero zero CD cord-267644-guzn0peq 182 55 . . . cord-267644-guzn0peq 183 1 In in IN cord-267644-guzn0peq 183 2 addition addition NN cord-267644-guzn0peq 183 3 , , , cord-267644-guzn0peq 183 4 we -PRON- PRP cord-267644-guzn0peq 183 5 compare compare VBP cord-267644-guzn0peq 183 6 the the DT cord-267644-guzn0peq 183 7 slopes slope NNS cord-267644-guzn0peq 183 8 estimated estimate VBN cord-267644-guzn0peq 183 9 for for IN cord-267644-guzn0peq 183 10 US US NNP cord-267644-guzn0peq 183 11 with with IN cord-267644-guzn0peq 183 12 those those DT cord-267644-guzn0peq 183 13 estimated estimate VBN cord-267644-guzn0peq 183 14 for for IN cord-267644-guzn0peq 183 15 Italian italian JJ cord-267644-guzn0peq 183 16 regions region NNS cord-267644-guzn0peq 183 17 , , , cord-267644-guzn0peq 183 18 by by IN cord-267644-guzn0peq 183 19 deriving derive VBG cord-267644-guzn0peq 183 20 t t NNP cord-267644-guzn0peq 183 21 m m NNP cord-267644-guzn0peq 183 22 ¼ ¼ NNP cord-267644-guzn0peq 183 23 jb jb NNP cord-267644-guzn0peq 183 24 US US NNP cord-267644-guzn0peq 183 25 À à NN cord-267644-guzn0peq 183 26 b b NN cord-267644-guzn0peq 183 27 IT it NN cord-267644-guzn0peq 184 1 j= j= NNP cord-267644-guzn0peq 184 2 ffi ffi NNP cord-267644-guzn0peq 184 3 ffi ffi NNP cord-267644-guzn0peq 184 4 ffi ffi NNP cord-267644-guzn0peq 184 5 ffi ffi NNP cord-267644-guzn0peq 184 6 ffi ffi NNP cord-267644-guzn0peq 184 7 ffi ffi NNP cord-267644-guzn0peq 184 8 ffi ffi NNP cord-267644-guzn0peq 184 9 ffi ffi NNP cord-267644-guzn0peq 184 10 ffi ffi NNP cord-267644-guzn0peq 184 11 ffi ffi NNP cord-267644-guzn0peq 184 12 ffi ffi NNP cord-267644-guzn0peq 184 13 ffi ffi NNP cord-267644-guzn0peq 184 14 ffi ffi NNP cord-267644-guzn0peq 184 15 ffi ffi NNP cord-267644-guzn0peq 184 16 ffi ffi NNP cord-267644-guzn0peq 184 17 ffi ffi NNP cord-267644-guzn0peq 184 18 ffi ffi NNP cord-267644-guzn0peq 184 19 ffi ffi NNP cord-267644-guzn0peq 184 20 ffi ffi NNP cord-267644-guzn0peq 184 21 ffi ffi NNP cord-267644-guzn0peq 184 22 ffi ffi NNP cord-267644-guzn0peq 184 23 ffi ffi NNP cord-267644-guzn0peq 184 24 ffi ffi NNP cord-267644-guzn0peq 184 25 and and CC cord-267644-guzn0peq 185 1 then then RB cord-267644-guzn0peq 185 2 , , , cord-267644-guzn0peq 185 3 finding find VBG cord-267644-guzn0peq 185 4 again again RB cord-267644-guzn0peq 185 5 p p NN cord-267644-guzn0peq 185 6 t t NN cord-267644-guzn0peq 185 7 ( ( -LRB- cord-267644-guzn0peq 185 8 t t NNP cord-267644-guzn0peq 185 9 m m NNP cord-267644-guzn0peq 185 10 ; ; : cord-267644-guzn0peq 185 11 M M NNP cord-267644-guzn0peq 185 12 m m NNP cord-267644-guzn0peq 185 13 ) ) -RRB- cord-267644-guzn0peq 185 14 ; ; : cord-267644-guzn0peq 185 15 the the DT cord-267644-guzn0peq 185 16 t t NN cord-267644-guzn0peq 185 17 - - HYPH cord-267644-guzn0peq 185 18 test test NN cord-267644-guzn0peq 185 19 is be VBZ cord-267644-guzn0peq 185 20 passed pass VBN cord-267644-guzn0peq 185 21 for for IN cord-267644-guzn0peq 185 22 the the DT cord-267644-guzn0peq 185 23 null null JJ cord-267644-guzn0peq 185 24 hypothesis hypothesis NN cord-267644-guzn0peq 185 25 that that IN cord-267644-guzn0peq 185 26 the the DT cord-267644-guzn0peq 185 27 examined examine VBN cord-267644-guzn0peq 185 28 slopes slope NNS cord-267644-guzn0peq 185 29 are be VBP cord-267644-guzn0peq 185 30 equal equal JJ cord-267644-guzn0peq 185 31 , , , cord-267644-guzn0peq 185 32 when when WRB cord-267644-guzn0peq 185 33 the the DT cord-267644-guzn0peq 185 34 corresponding corresponding JJ cord-267644-guzn0peq 185 35 p p NN cord-267644-guzn0peq 185 36 t t NN cord-267644-guzn0peq 185 37 -value -value NN cord-267644-guzn0peq 185 38 is be VBZ cord-267644-guzn0peq 185 39 larger large JJR cord-267644-guzn0peq 185 40 than than IN cord-267644-guzn0peq 185 41 0.05 0.05 CD cord-267644-guzn0peq 185 42 ; ; : cord-267644-guzn0peq 185 43 in in IN cord-267644-guzn0peq 185 44 this this DT cord-267644-guzn0peq 185 45 case case NN cord-267644-guzn0peq 185 46 , , , cord-267644-guzn0peq 185 47 the the DT cord-267644-guzn0peq 185 48 null null JJ cord-267644-guzn0peq 185 49 hypothesis hypothesis NN cord-267644-guzn0peq 185 50 is be VBZ cord-267644-guzn0peq 185 51 accepted accept VBN cord-267644-guzn0peq 185 52 , , , cord-267644-guzn0peq 185 53 thus thus RB cord-267644-guzn0peq 185 54 there there EX cord-267644-guzn0peq 185 55 is be VBZ cord-267644-guzn0peq 185 56 no no DT cord-267644-guzn0peq 185 57 statistically statistically RB cord-267644-guzn0peq 185 58 significant significant JJ cord-267644-guzn0peq 185 59 difference difference NN cord-267644-guzn0peq 185 60 between between IN cord-267644-guzn0peq 185 61 the the DT cord-267644-guzn0peq 185 62 two two CD cord-267644-guzn0peq 185 63 slopes slope NNS cord-267644-guzn0peq 185 64 . . . cord-267644-guzn0peq 186 1 The the DT cord-267644-guzn0peq 186 2 linear linear JJ cord-267644-guzn0peq 186 3 fitting fitting NN cord-267644-guzn0peq 186 4 of of IN cord-267644-guzn0peq 186 5 log log NN cord-267644-guzn0peq 186 6 ( ( -LRB- cord-267644-guzn0peq 186 7 N N NNP cord-267644-guzn0peq 186 8 t t NN cord-267644-guzn0peq 186 9 ) ) -RRB- cord-267644-guzn0peq 186 10 or or CC cord-267644-guzn0peq 186 11 log log VB cord-267644-guzn0peq 186 12 ( ( -LRB- cord-267644-guzn0peq 186 13 ΔN ΔN NNP cord-267644-guzn0peq 186 14 t t NNP cord-267644-guzn0peq 186 15 ) ) -RRB- cord-267644-guzn0peq 186 16 with with IN cord-267644-guzn0peq 186 17 respect respect NN cord-267644-guzn0peq 186 18 to to IN cord-267644-guzn0peq 186 19 time time NN cord-267644-guzn0peq 186 20 t t NN cord-267644-guzn0peq 186 21 within within IN cord-267644-guzn0peq 186 22 the the DT cord-267644-guzn0peq 186 23 region region NN cord-267644-guzn0peq 186 24 of of IN cord-267644-guzn0peq 186 25 exponential exponential JJ cord-267644-guzn0peq 186 26 growth growth NN cord-267644-guzn0peq 186 27 phase phase NN cord-267644-guzn0peq 186 28 , , , cord-267644-guzn0peq 186 29 resulted result VBD cord-267644-guzn0peq 186 30 to to IN cord-267644-guzn0peq 186 31 the the DT cord-267644-guzn0peq 186 32 respective respective JJ cord-267644-guzn0peq 186 33 rates rate NNS cord-267644-guzn0peq 186 34 ( ( -LRB- cord-267644-guzn0peq 186 35 which which WDT cord-267644-guzn0peq 186 36 are be VBP cord-267644-guzn0peq 186 37 given give VBN cord-267644-guzn0peq 186 38 by by IN cord-267644-guzn0peq 186 39 the the DT cord-267644-guzn0peq 186 40 fitted fit VBN cord-267644-guzn0peq 186 41 slopes slope NNS cord-267644-guzn0peq 186 42 ) ) -RRB- cord-267644-guzn0peq 186 43 ; ; : cord-267644-guzn0peq 186 44 their -PRON- PRP$ cord-267644-guzn0peq 186 45 weighted weighted JJ cord-267644-guzn0peq 186 46 averages average NNS cord-267644-guzn0peq 186 47 are be VBP cord-267644-guzn0peq 186 48 shown show VBN cord-267644-guzn0peq 186 49 in in IN cord-267644-guzn0peq 186 50 Table Table NNP cord-267644-guzn0peq 186 51 1 1 CD cord-267644-guzn0peq 186 52 for for IN cord-267644-guzn0peq 186 53 US US NNP cord-267644-guzn0peq 186 54 and and CC cord-267644-guzn0peq 186 55 in in IN cord-267644-guzn0peq 186 56 Table Table NNP cord-267644-guzn0peq 186 57 2 2 CD cord-267644-guzn0peq 186 58 for for IN cord-267644-guzn0peq 186 59 Italian italian JJ cord-267644-guzn0peq 186 60 regions region NNS cord-267644-guzn0peq 186 61 , , , cord-267644-guzn0peq 186 62 while while IN cord-267644-guzn0peq 186 63 plotted plot VBN cord-267644-guzn0peq 186 64 against against IN cord-267644-guzn0peq 186 65 the the DT cord-267644-guzn0peq 186 66 average average JJ cord-267644-guzn0peq 186 67 regional regional JJ cord-267644-guzn0peq 186 68 temperature temperature NN cord-267644-guzn0peq 186 69 in in IN cord-267644-guzn0peq 186 70 Figs Figs NNP cord-267644-guzn0peq 186 71 5 5 CD cord-267644-guzn0peq 186 72 and and CC cord-267644-guzn0peq 186 73 6 6 CD cord-267644-guzn0peq 186 74 , , , cord-267644-guzn0peq 186 75 respectively respectively RB cord-267644-guzn0peq 186 76 . . . cord-267644-guzn0peq 187 1 The the DT cord-267644-guzn0peq 187 2 method method NN cord-267644-guzn0peq 187 3 of of IN cord-267644-guzn0peq 187 4 weighted weighted JJ cord-267644-guzn0peq 187 5 fitting fitting NN cord-267644-guzn0peq 187 6 for for IN cord-267644-guzn0peq 187 7 double double JJ cord-267644-guzn0peq 187 8 uncertainties uncertainty NNS cord-267644-guzn0peq 187 9 ( ( -LRB- cord-267644-guzn0peq 187 10 x x VBP cord-267644-guzn0peq 187 11 i i PRP cord-267644-guzn0peq 187 12 ±δx ±δx NNP cord-267644-guzn0peq 187 13 i i PRP cord-267644-guzn0peq 187 14 , , , cord-267644-guzn0peq 187 15 λ λ NN cord-267644-guzn0peq 187 16 i i NN cord-267644-guzn0peq 187 17 ±δλ ±δλ NNP cord-267644-guzn0peq 187 18 i i NN cord-267644-guzn0peq 187 19 ) ) -RRB- cord-267644-guzn0peq 187 20 , , , cord-267644-guzn0peq 187 21 as as IN cord-267644-guzn0peq 187 22 described describe VBN cord-267644-guzn0peq 187 23 by by IN cord-267644-guzn0peq 187 24 [ [ -LRB- cord-267644-guzn0peq 187 25 21 21 CD cord-267644-guzn0peq 187 26 ] ] -RRB- cord-267644-guzn0peq 187 27 , , , cord-267644-guzn0peq 187 28 is be VBZ cord-267644-guzn0peq 187 29 used use VBN cord-267644-guzn0peq 187 30 for for IN cord-267644-guzn0peq 187 31 estimating estimate VBG cord-267644-guzn0peq 187 32 the the DT cord-267644-guzn0peq 187 33 fitting fitting JJ cord-267644-guzn0peq 187 34 parameters parameter NNS cord-267644-guzn0peq 187 35 λ λ NNP cord-267644-guzn0peq 187 36 0 0 CD cord-267644-guzn0peq 187 37 , , , cord-267644-guzn0peq 187 38 T T NNP cord-267644-guzn0peq 187 39 C C NNP cord-267644-guzn0peq 187 40 , , , cord-267644-guzn0peq 187 41 together together RB cord-267644-guzn0peq 187 42 with with IN cord-267644-guzn0peq 187 43 their -PRON- PRP$ cord-267644-guzn0peq 187 44 statistical statistical JJ cord-267644-guzn0peq 187 45 , , , cord-267644-guzn0peq 187 46 propagation propagation NN cord-267644-guzn0peq 187 47 , , , cord-267644-guzn0peq 187 48 and and CC cord-267644-guzn0peq 187 49 total total JJ cord-267644-guzn0peq 187 50 errors error NNS cord-267644-guzn0peq 187 51 . . . cord-267644-guzn0peq 188 1 The the DT cord-267644-guzn0peq 188 2 fits fit NNS cord-267644-guzn0peq 188 3 of of IN cord-267644-guzn0peq 188 4 the the DT cord-267644-guzn0peq 188 5 linear linear JJ cord-267644-guzn0peq 188 6 statistical statistical JJ cord-267644-guzn0peq 188 7 model model NN cord-267644-guzn0peq 188 8 with with IN cord-267644-guzn0peq 188 9 temperature temperature NN cord-267644-guzn0peq 188 10 , , . cord-267644-guzn0peq 189 1 x x LS cord-267644-guzn0peq 189 2 i i NN cord-267644-guzn0peq 189 3 = = SYM cord-267644-guzn0peq 189 4 T t NN cord-267644-guzn0peq 189 5 i i NN cord-267644-guzn0peq 189 6 , , , cord-267644-guzn0peq 189 7 ( ( -LRB- cord-267644-guzn0peq 189 8 left left JJ cord-267644-guzn0peq 189 9 panels panel NNS cord-267644-guzn0peq 189 10 in in IN cord-267644-guzn0peq 189 11 Figs Figs NNP cord-267644-guzn0peq 189 12 5 5 CD cord-267644-guzn0peq 189 13 and and CC cord-267644-guzn0peq 189 14 6 6 CD cord-267644-guzn0peq 189 15 ) ) -RRB- cord-267644-guzn0peq 189 16 , , , cord-267644-guzn0peq 189 17 as as RB cord-267644-guzn0peq 189 18 well well RB cord-267644-guzn0peq 189 19 as as IN cord-267644-guzn0peq 189 20 of of IN cord-267644-guzn0peq 189 21 the the DT cord-267644-guzn0peq 189 22 alternative alternative JJ cord-267644-guzn0peq 189 23 statistical statistical JJ cord-267644-guzn0peq 189 24 model model NN cord-267644-guzn0peq 189 25 with with IN cord-267644-guzn0peq 189 26 inverse inverse JJ cord-267644-guzn0peq 189 27 temperature temperature NN cord-267644-guzn0peq 189 28 , , , cord-267644-guzn0peq 189 29 , , , cord-267644-guzn0peq 189 30 ( ( -LRB- cord-267644-guzn0peq 189 31 right right JJ cord-267644-guzn0peq 189 32 panels panel NNS cord-267644-guzn0peq 189 33 in in IN cord-267644-guzn0peq 189 34 Figs Figs NNP cord-267644-guzn0peq 189 35 5 5 CD cord-267644-guzn0peq 189 36 and and CC cord-267644-guzn0peq 189 37 6 6 CD cord-267644-guzn0peq 189 38 ) ) -RRB- cord-267644-guzn0peq 189 39 , , , cord-267644-guzn0peq 189 40 are be VBP cord-267644-guzn0peq 189 41 both both DT cord-267644-guzn0peq 189 42 characterized characterize VBN cord-267644-guzn0peq 189 43 with with IN cord-267644-guzn0peq 189 44 high high JJ cord-267644-guzn0peq 189 45 statistical statistical JJ cord-267644-guzn0peq 189 46 confidence confidence NN cord-267644-guzn0peq 189 47 , , , cord-267644-guzn0peq 189 48 attaining attain VBG cord-267644-guzn0peq 189 49 high high JJ cord-267644-guzn0peq 189 50 p p NN cord-267644-guzn0peq 189 51 - - HYPH cord-267644-guzn0peq 189 52 values value NNS cord-267644-guzn0peq 189 53 ( ( -LRB- cord-267644-guzn0peq 189 54 > > NFP cord-267644-guzn0peq 189 55 0.05 0.05 CD cord-267644-guzn0peq 189 56 ) ) -RRB- cord-267644-guzn0peq 189 57 and and CC cord-267644-guzn0peq 189 58 reduced reduce VBN cord-267644-guzn0peq 189 59 chi chi NNP cord-267644-guzn0peq 189 60 - - HYPH cord-267644-guzn0peq 189 61 squares square NNS cord-267644-guzn0peq 189 62 w w NNP cord-267644-guzn0peq 189 63 2 2 CD cord-267644-guzn0peq 189 64 red red JJ cord-267644-guzn0peq 189 65 values value NNS cord-267644-guzn0peq 189 66 ( ( -LRB- cord-267644-guzn0peq 189 67 close close VB cord-267644-guzn0peq 189 68 to to IN cord-267644-guzn0peq 189 69 1 1 CD cord-267644-guzn0peq 189 70 ) ) -RRB- cord-267644-guzn0peq 189 71 ; ; : cord-267644-guzn0peq 189 72 also also RB cord-267644-guzn0peq 189 73 , , , cord-267644-guzn0peq 189 74 both both DT cord-267644-guzn0peq 189 75 fits fit VBZ cord-267644-guzn0peq 189 76 provide provide VB cord-267644-guzn0peq 189 77 similar similar JJ cord-267644-guzn0peq 189 78 estimations estimation NNS cord-267644-guzn0peq 189 79 of of IN cord-267644-guzn0peq 189 80 T T NNP cord-267644-guzn0peq 189 81 C C NNP cord-267644-guzn0peq 189 82 . . . cord-267644-guzn0peq 190 1 The the DT cord-267644-guzn0peq 190 2 fitting fitting JJ cord-267644-guzn0peq 190 3 results result NNS cord-267644-guzn0peq 190 4 are be VBP cord-267644-guzn0peq 190 5 shown show VBN cord-267644-guzn0peq 190 6 in in IN cord-267644-guzn0peq 190 7 Table Table NNP cord-267644-guzn0peq 190 8 3 3 CD cord-267644-guzn0peq 190 9 . . . cord-267644-guzn0peq 191 1 We -PRON- PRP cord-267644-guzn0peq 191 2 also also RB cord-267644-guzn0peq 191 3 examine examine VBP cord-267644-guzn0peq 191 4 whether whether IN cord-267644-guzn0peq 191 5 the the DT cord-267644-guzn0peq 191 6 sample sample NN cord-267644-guzn0peq 191 7 points point NNS cord-267644-guzn0peq 191 8 ( ( -LRB- cord-267644-guzn0peq 191 9 T t NN cord-267644-guzn0peq 191 10 i i PRP cord-267644-guzn0peq 191 11 ±δT ±δt VBP cord-267644-guzn0peq 191 12 i i PRP cord-267644-guzn0peq 191 13 , , , cord-267644-guzn0peq 191 14 λ λ NN cord-267644-guzn0peq 191 15 i i NN cord-267644-guzn0peq 191 16 ±δλ ±δλ NNP cord-267644-guzn0peq 191 17 i i NN cord-267644-guzn0peq 191 18 ) ) -RRB- cord-267644-guzn0peq 191 19 are be VBP cord-267644-guzn0peq 191 20 subject subject JJ cord-267644-guzn0peq 191 21 to to IN cord-267644-guzn0peq 191 22 statistically statistically RB cord-267644-guzn0peq 191 23 significant significant JJ cord-267644-guzn0peq 191 24 concentrations concentration NNS cord-267644-guzn0peq 191 25 or or CC cord-267644-guzn0peq 191 26 rarefactions rarefaction NNS cord-267644-guzn0peq 191 27 , , , cord-267644-guzn0peq 191 28 namely namely RB cord-267644-guzn0peq 191 29 , , , cord-267644-guzn0peq 191 30 whether whether IN cord-267644-guzn0peq 191 31 possible possible JJ cord-267644-guzn0peq 191 32 heterogeneities heterogeneity NNS cord-267644-guzn0peq 191 33 within within IN cord-267644-guzn0peq 191 34 the the DT cord-267644-guzn0peq 191 35 distribution distribution NN cord-267644-guzn0peq 191 36 of of IN cord-267644-guzn0peq 191 37 sample sample NN cord-267644-guzn0peq 191 38 points point NNS cord-267644-guzn0peq 191 39 plays play VBZ cord-267644-guzn0peq 191 40 significant significant JJ cord-267644-guzn0peq 191 41 role role NN cord-267644-guzn0peq 191 42 in in IN cord-267644-guzn0peq 191 43 the the DT cord-267644-guzn0peq 191 44 fitted fit VBN cord-267644-guzn0peq 191 45 relationship relationship NN cord-267644-guzn0peq 191 46 . . . cord-267644-guzn0peq 192 1 For for IN cord-267644-guzn0peq 192 2 this this DT cord-267644-guzn0peq 192 3 , , , cord-267644-guzn0peq 192 4 we -PRON- PRP cord-267644-guzn0peq 192 5 derive derive VBP cord-267644-guzn0peq 192 6 the the DT cord-267644-guzn0peq 192 7 temperature temperature NN cord-267644-guzn0peq 192 8 - - HYPH cord-267644-guzn0peq 192 9 rate rate NN cord-267644-guzn0peq 192 10 relationship relationship NN cord-267644-guzn0peq 192 11 and and CC cord-267644-guzn0peq 192 12 its -PRON- PRP$ cord-267644-guzn0peq 192 13 statistical statistical JJ cord-267644-guzn0peq 192 14 confidence confidence NN cord-267644-guzn0peq 192 15 by by IN cord-267644-guzn0peq 192 16 fitting fit VBG cord-267644-guzn0peq 192 17 the the DT cord-267644-guzn0peq 192 18 homogenized homogenized JJ cord-267644-guzn0peq 192 19 set set NN cord-267644-guzn0peq 192 20 of of IN cord-267644-guzn0peq 192 21 sample sample NN cord-267644-guzn0peq 192 22 points point NNS cord-267644-guzn0peq 192 23 , , , cord-267644-guzn0peq 192 24 instead instead RB cord-267644-guzn0peq 192 25 of of IN cord-267644-guzn0peq 192 26 the the DT cord-267644-guzn0peq 192 27 raw raw JJ cord-267644-guzn0peq 192 28 sample sample NN cord-267644-guzn0peq 192 29 points point NNS cord-267644-guzn0peq 192 30 ; ; : cord-267644-guzn0peq 192 31 then then RB cord-267644-guzn0peq 192 32 , , , cord-267644-guzn0peq 192 33 we -PRON- PRP cord-267644-guzn0peq 192 34 examine examine VBP cord-267644-guzn0peq 192 35 whether whether IN cord-267644-guzn0peq 192 36 the the DT cord-267644-guzn0peq 192 37 fitting fitting JJ cord-267644-guzn0peq 192 38 parameters parameter NNS cord-267644-guzn0peq 192 39 differ differ VBP cord-267644-guzn0peq 192 40 from from IN cord-267644-guzn0peq 192 41 those those DT cord-267644-guzn0peq 192 42 derived derive VBN cord-267644-guzn0peq 192 43 from from IN cord-267644-guzn0peq 192 44 fitting fit VBG cord-267644-guzn0peq 192 45 the the DT cord-267644-guzn0peq 192 46 raw raw JJ cord-267644-guzn0peq 192 47 sample sample NN cord-267644-guzn0peq 192 48 points point NNS cord-267644-guzn0peq 192 49 . . . cord-267644-guzn0peq 193 1 We -PRON- PRP cord-267644-guzn0peq 193 2 homogenize homogenize VBP cord-267644-guzn0peq 193 3 the the DT cord-267644-guzn0peq 193 4 sample sample NN cord-267644-guzn0peq 193 5 points point NNS cord-267644-guzn0peq 193 6 by by IN cord-267644-guzn0peq 193 7 grouping group VBG cord-267644-guzn0peq 193 8 them -PRON- PRP cord-267644-guzn0peq 193 9 in in IN cord-267644-guzn0peq 193 10 temperature temperature NN cord-267644-guzn0peq 193 11 bins bin NNS cord-267644-guzn0peq 193 12 of of IN cord-267644-guzn0peq 193 13 ΔT~1 δt~1 RB cord-267644-guzn0peq 193 14 C c NN cord-267644-guzn0peq 193 15 0 0 CD cord-267644-guzn0peq 194 1 ( ( -LRB- cord-267644-guzn0peq 194 2 e.g. e.g. RB cord-267644-guzn0peq 194 3 , , , cord-267644-guzn0peq 194 4 see see VB cord-267644-guzn0peq 194 5 : : : cord-267644-guzn0peq 194 6 [ [ -LRB- cord-267644-guzn0peq 194 7 29 29 CD cord-267644-guzn0peq 194 8 ] ] -RRB- cord-267644-guzn0peq 194 9 ) ) -RRB- cord-267644-guzn0peq 194 10 . . . cord-267644-guzn0peq 195 1 We -PRON- PRP cord-267644-guzn0peq 195 2 estimate estimate VBP cord-267644-guzn0peq 195 3 the the DT cord-267644-guzn0peq 195 4 weighted weighted JJ cord-267644-guzn0peq 195 5 mean mean NN cord-267644-guzn0peq 195 6 and and CC cord-267644-guzn0peq 195 7 error error NN cord-267644-guzn0peq 195 8 of of IN cord-267644-guzn0peq 195 9 the the DT cord-267644-guzn0peq 195 10 rates rate NNS cord-267644-guzn0peq 195 11 included include VBN cord-267644-guzn0peq 195 12 in in IN cord-267644-guzn0peq 195 13 each each DT cord-267644-guzn0peq 195 14 bin bin NN cord-267644-guzn0peq 195 15 . . . cord-267644-guzn0peq 196 1 In in IN cord-267644-guzn0peq 196 2 the the DT cord-267644-guzn0peq 196 3 case case NN cord-267644-guzn0peq 196 4 of of IN cord-267644-guzn0peq 196 5 US US NNP cord-267644-guzn0peq 196 6 regions region NNS cord-267644-guzn0peq 196 7 we -PRON- PRP cord-267644-guzn0peq 196 8 also also RB cord-267644-guzn0peq 196 9 performed perform VBD cord-267644-guzn0peq 196 10 a a DT cord-267644-guzn0peq 196 11 homogenization homogenization NN cord-267644-guzn0peq 196 12 of of IN cord-267644-guzn0peq 196 13 rates rate NNS cord-267644-guzn0peq 196 14 , , , cord-267644-guzn0peq 196 15 by by IN cord-267644-guzn0peq 196 16 grouping group VBG cord-267644-guzn0peq 196 17 the the DT cord-267644-guzn0peq 196 18 temperature temperature NN cord-267644-guzn0peq 196 19 - - HYPH cord-267644-guzn0peq 196 20 binned bin VBN cord-267644-guzn0peq 196 21 means mean NNS cord-267644-guzn0peq 196 22 in in IN cord-267644-guzn0peq 196 23 rate rate NN cord-267644-guzn0peq 196 24 bins bin NNS cord-267644-guzn0peq 196 25 of of IN cord-267644-guzn0peq 196 26 Δλ~0.01 δλ~0.01 CD cord-267644-guzn0peq 196 27 d d NNP cord-267644-guzn0peq 196 28 -1 -1 NNP cord-267644-guzn0peq 196 29 . . . cord-267644-guzn0peq 197 1 In in IN cord-267644-guzn0peq 197 2 the the DT cord-267644-guzn0peq 197 3 case case NN cord-267644-guzn0peq 197 4 of of IN cord-267644-guzn0peq 197 5 sample sample NN cord-267644-guzn0peq 197 6 points point NNS cord-267644-guzn0peq 197 7 with with IN cord-267644-guzn0peq 197 8 inverse inverse JJ cord-267644-guzn0peq 197 9 temperatures temperature NNS cord-267644-guzn0peq 197 10 , , , cord-267644-guzn0peq 197 11 ( ( -LRB- cord-267644-guzn0peq 197 12 T T NNP cord-267644-guzn0peq 197 13 i i NNP cord-267644-guzn0peq 197 14 , , , cord-267644-guzn0peq 197 15 λ λ NN cord-267644-guzn0peq 197 16 i i NN cord-267644-guzn0peq 197 17 ±δλ ±δλ NNP cord-267644-guzn0peq 197 18 i i NN cord-267644-guzn0peq 197 19 ) ) -RRB- cord-267644-guzn0peq 197 20 , , , cord-267644-guzn0peq 197 21 the the DT cord-267644-guzn0peq 197 22 procedure procedure NN cord-267644-guzn0peq 197 23 is be VBZ cord-267644-guzn0peq 197 24 exactly exactly RB cord-267644-guzn0peq 197 25 the the DT cord-267644-guzn0peq 197 26 same same JJ cord-267644-guzn0peq 197 27 . . . cord-267644-guzn0peq 198 1 Homogenized homogenized JJ cord-267644-guzn0peq 198 2 datasets dataset NNS cord-267644-guzn0peq 198 3 result result VBP cord-267644-guzn0peq 198 4 in in IN cord-267644-guzn0peq 198 5 a a DT cord-267644-guzn0peq 198 6 smooth smooth JJ cord-267644-guzn0peq 198 7 relationship relationship NN cord-267644-guzn0peq 198 8 between between IN cord-267644-guzn0peq 198 9 the the DT cord-267644-guzn0peq 198 10 values value NNS cord-267644-guzn0peq 198 11 of of IN cord-267644-guzn0peq 198 12 binned bin VBN cord-267644-guzn0peq 198 13 temperature temperature NN cord-267644-guzn0peq 198 14 and and CC cord-267644-guzn0peq 198 15 rate rate NN cord-267644-guzn0peq 198 16 , , , cord-267644-guzn0peq 198 17 as as IN cord-267644-guzn0peq 198 18 it -PRON- PRP cord-267644-guzn0peq 198 19 can can MD cord-267644-guzn0peq 198 20 be be VB cord-267644-guzn0peq 198 21 observed observe VBN cord-267644-guzn0peq 198 22 in in IN cord-267644-guzn0peq 198 23 the the DT cord-267644-guzn0peq 198 24 plots plot NNS cord-267644-guzn0peq 198 25 of of IN cord-267644-guzn0peq 198 26 rate rate NN cord-267644-guzn0peq 198 27 against against IN cord-267644-guzn0peq 198 28 temperature temperature NN cord-267644-guzn0peq 198 29 or or CC cord-267644-guzn0peq 198 30 inverse inverse JJ cord-267644-guzn0peq 198 31 temperature temperature NN cord-267644-guzn0peq 198 32 ( ( -LRB- cord-267644-guzn0peq 198 33 left left JJ cord-267644-guzn0peq 198 34 or or CC cord-267644-guzn0peq 198 35 right right JJ cord-267644-guzn0peq 198 36 lower low JJR cord-267644-guzn0peq 198 37 panels panel NNS cord-267644-guzn0peq 198 38 , , , cord-267644-guzn0peq 198 39 respectively respectively RB cord-267644-guzn0peq 198 40 ) ) -RRB- cord-267644-guzn0peq 198 41 , , , cord-267644-guzn0peq 198 42 and and CC cord-267644-guzn0peq 198 43 for for IN cord-267644-guzn0peq 198 44 both both DT cord-267644-guzn0peq 198 45 US US NNP cord-267644-guzn0peq 198 46 and and CC cord-267644-guzn0peq 198 47 Italy Italy NNP cord-267644-guzn0peq 198 48 regions region NNS cord-267644-guzn0peq 198 49 ( ( -LRB- cord-267644-guzn0peq 198 50 Figs fig NNS cord-267644-guzn0peq 198 51 5 5 CD cord-267644-guzn0peq 198 52 and and CC cord-267644-guzn0peq 198 53 6 6 CD cord-267644-guzn0peq 198 54 , , , cord-267644-guzn0peq 198 55 respectively respectively RB cord-267644-guzn0peq 198 56 ) ) -RRB- cord-267644-guzn0peq 198 57 . . . cord-267644-guzn0peq 199 1 The the DT cord-267644-guzn0peq 199 2 results result NNS cord-267644-guzn0peq 199 3 are be VBP cord-267644-guzn0peq 199 4 highly highly RB cord-267644-guzn0peq 199 5 supportive supportive JJ cord-267644-guzn0peq 199 6 of of IN cord-267644-guzn0peq 199 7 the the DT cord-267644-guzn0peq 199 8 negative negative JJ cord-267644-guzn0peq 199 9 correlation correlation NN cord-267644-guzn0peq 199 10 between between IN cord-267644-guzn0peq 199 11 rate rate NN cord-267644-guzn0peq 199 12 and and CC cord-267644-guzn0peq 199 13 temperature temperature NN cord-267644-guzn0peq 199 14 . . . cord-267644-guzn0peq 200 1 The the DT cord-267644-guzn0peq 200 2 results result NNS cord-267644-guzn0peq 200 3 are be VBP cord-267644-guzn0peq 200 4 shown show VBN cord-267644-guzn0peq 200 5 in in IN cord-267644-guzn0peq 200 6 Table Table NNP cord-267644-guzn0peq 200 7 4 4 CD cord-267644-guzn0peq 200 8 . . . cord-267644-guzn0peq 201 1 We -PRON- PRP cord-267644-guzn0peq 201 2 observe observe VBP cord-267644-guzn0peq 201 3 that that IN cord-267644-guzn0peq 201 4 the the DT cord-267644-guzn0peq 201 5 linear linear JJ cord-267644-guzn0peq 201 6 relationships relationship NNS cord-267644-guzn0peq 201 7 of of IN cord-267644-guzn0peq 201 8 the the DT cord-267644-guzn0peq 201 9 growth growth NN cord-267644-guzn0peq 201 10 rate rate NN cord-267644-guzn0peq 201 11 with with IN cord-267644-guzn0peq 201 12 temperature temperature NN cord-267644-guzn0peq 201 13 or or CC cord-267644-guzn0peq 201 14 inverse inverse JJ cord-267644-guzn0peq 201 15 temperature temperature NN cord-267644-guzn0peq 201 16 are be VBP cord-267644-guzn0peq 201 17 characterized characterize VBN cord-267644-guzn0peq 201 18 by by IN cord-267644-guzn0peq 201 19 high high JJ cord-267644-guzn0peq 201 20 statistical statistical JJ cord-267644-guzn0peq 201 21 confidence confidence NN cord-267644-guzn0peq 201 22 for for IN cord-267644-guzn0peq 201 23 the the DT cord-267644-guzn0peq 201 24 homogenized homogenized JJ cord-267644-guzn0peq 201 25 datasets dataset NNS cord-267644-guzn0peq 201 26 ( ( -LRB- cord-267644-guzn0peq 201 27 p p NN cord-267644-guzn0peq 201 28 - - HYPH cord-267644-guzn0peq 201 29 values value NNS cord-267644-guzn0peq 201 30 much much RB cord-267644-guzn0peq 201 31 higher high JJR cord-267644-guzn0peq 201 32 than than IN cord-267644-guzn0peq 201 33 the the DT cord-267644-guzn0peq 201 34 significant significant JJ cord-267644-guzn0peq 201 35 limit limit NN cord-267644-guzn0peq 201 36 of of IN cord-267644-guzn0peq 201 37 0.05 0.05 CD cord-267644-guzn0peq 201 38 ; ; : cord-267644-guzn0peq 201 39 w w NN cord-267644-guzn0peq 201 40 2 2 CD cord-267644-guzn0peq 201 41 red red NN cord-267644-guzn0peq 201 42 far far RB cord-267644-guzn0peq 201 43 from from IN cord-267644-guzn0peq 201 44 the the DT cord-267644-guzn0peq 201 45 significant significant JJ cord-267644-guzn0peq 201 46 limits limit NNS cord-267644-guzn0peq 201 47 of of IN cord-267644-guzn0peq 201 48 0.1 0.1 CD cord-267644-guzn0peq 201 49 and and CC cord-267644-guzn0peq 201 50 10 10 CD cord-267644-guzn0peq 201 51 ) ) -RRB- cord-267644-guzn0peq 201 52 . . . cord-267644-guzn0peq 202 1 Therefore therefore RB cord-267644-guzn0peq 202 2 , , , cord-267644-guzn0peq 202 3 the the DT cord-267644-guzn0peq 202 4 arrangement arrangement NN cord-267644-guzn0peq 202 5 of of IN cord-267644-guzn0peq 202 6 sample sample NN cord-267644-guzn0peq 202 7 points point NNS cord-267644-guzn0peq 202 8 do do VBP cord-267644-guzn0peq 202 9 not not RB cord-267644-guzn0peq 202 10 affect affect VB cord-267644-guzn0peq 202 11 significantly significantly RB cord-267644-guzn0peq 202 12 the the DT cord-267644-guzn0peq 202 13 fitting fitting JJ cord-267644-guzn0peq 202 14 results result NNS cord-267644-guzn0peq 202 15 . . . cord-267644-guzn0peq 203 1 In in IN cord-267644-guzn0peq 203 2 addition addition NN cord-267644-guzn0peq 203 3 , , , cord-267644-guzn0peq 203 4 as as IN cord-267644-guzn0peq 203 5 shown show VBN cord-267644-guzn0peq 203 6 in in IN cord-267644-guzn0peq 203 7 Tables Tables NNPS cord-267644-guzn0peq 203 8 3 3 CD cord-267644-guzn0peq 203 9 and and CC cord-267644-guzn0peq 203 10 4 4 CD cord-267644-guzn0peq 203 11 , , , cord-267644-guzn0peq 203 12 the the DT cord-267644-guzn0peq 203 13 linear linear JJ cord-267644-guzn0peq 203 14 fits fit NNS cord-267644-guzn0peq 203 15 of of IN cord-267644-guzn0peq 203 16 sample sample NN cord-267644-guzn0peq 203 17 points point NNS cord-267644-guzn0peq 203 18 ( ( -LRB- cord-267644-guzn0peq 203 19 T t NN cord-267644-guzn0peq 203 20 i i PRP cord-267644-guzn0peq 203 21 ±δT ±δt VBP cord-267644-guzn0peq 203 22 i i PRP cord-267644-guzn0peq 203 23 , , , cord-267644-guzn0peq 203 24 λ λ NN cord-267644-guzn0peq 204 1 i i PRP cord-267644-guzn0peq 204 2 ±δλ ±δλ NNP cord-267644-guzn0peq 204 3 i i NN cord-267644-guzn0peq 204 4 ) ) -RRB- cord-267644-guzn0peq 205 1 and and CC cord-267644-guzn0peq 205 2 , , , cord-267644-guzn0peq 205 3 λ λ NN cord-267644-guzn0peq 205 4 i i NN cord-267644-guzn0peq 205 5 ±δλ ±δλ NNP cord-267644-guzn0peq 205 6 i i NN cord-267644-guzn0peq 205 7 ) ) -RRB- cord-267644-guzn0peq 205 8 do do VBP cord-267644-guzn0peq 205 9 not not RB cord-267644-guzn0peq 205 10 pass pass VB cord-267644-guzn0peq 205 11 the the DT cord-267644-guzn0peq 205 12 Student Student NNP cord-267644-guzn0peq 205 13 's 's POS cord-267644-guzn0peq 205 14 t t NN cord-267644-guzn0peq 205 15 - - HYPH cord-267644-guzn0peq 205 16 test test NN cord-267644-guzn0peq 205 17 for for IN cord-267644-guzn0peq 205 18 the the DT cord-267644-guzn0peq 205 19 null null JJ cord-267644-guzn0peq 205 20 hypothesis hypothesis NN cord-267644-guzn0peq 205 21 that that IN cord-267644-guzn0peq 205 22 their -PRON- PRP$ cord-267644-guzn0peq 205 23 slopes slope NNS cord-267644-guzn0peq 205 24 equals equal VBZ cord-267644-guzn0peq 205 25 zero zero CD cord-267644-guzn0peq 205 26 , , , cord-267644-guzn0peq 205 27 i.e. i.e. FW cord-267644-guzn0peq 205 28 , , , cord-267644-guzn0peq 205 29 the the DT cord-267644-guzn0peq 205 30 corresponding corresponding JJ cord-267644-guzn0peq 205 31 p p NN cord-267644-guzn0peq 205 32 t t NN cord-267644-guzn0peq 205 33 -values -value NNS cord-267644-guzn0peq 205 34 are be VBP cord-267644-guzn0peq 205 35 smaller small JJR cord-267644-guzn0peq 205 36 than than IN cord-267644-guzn0peq 205 37 the the DT cord-267644-guzn0peq 205 38 acceptable acceptable JJ cord-267644-guzn0peq 205 39 confidence confidence NN cord-267644-guzn0peq 205 40 limit limit NN cord-267644-guzn0peq 205 41 of of IN cord-267644-guzn0peq 205 42 0.05 0.05 CD cord-267644-guzn0peq 205 43 ; ; : cord-267644-guzn0peq 205 44 therefore therefore RB cord-267644-guzn0peq 205 45 , , , cord-267644-guzn0peq 205 46 the the DT cord-267644-guzn0peq 205 47 negative negative JJ cord-267644-guzn0peq 205 48 correlation correlation NN cord-267644-guzn0peq 205 49 of of IN cord-267644-guzn0peq 205 50 environmental environmental JJ cord-267644-guzn0peq 205 51 temperature temperature NN cord-267644-guzn0peq 205 52 with with IN cord-267644-guzn0peq 205 53 the the DT cord-267644-guzn0peq 205 54 exponential exponential JJ cord-267644-guzn0peq 205 55 rate rate NN cord-267644-guzn0peq 205 56 is be VBZ cord-267644-guzn0peq 205 57 statistically statistically RB cord-267644-guzn0peq 205 58 significant significant JJ cord-267644-guzn0peq 205 59 ( ( -LRB- cord-267644-guzn0peq 205 60 accepted accept VBN cord-267644-guzn0peq 205 61 with with IN cord-267644-guzn0peq 205 62 confidence confidence NN cord-267644-guzn0peq 205 63 95 95 CD cord-267644-guzn0peq 205 64 % % NN cord-267644-guzn0peq 205 65 ) ) -RRB- cord-267644-guzn0peq 205 66 . . . cord-267644-guzn0peq 206 1 In in IN cord-267644-guzn0peq 206 2 order order NN cord-267644-guzn0peq 206 3 to to TO cord-267644-guzn0peq 206 4 improve improve VB cord-267644-guzn0peq 206 5 the the DT cord-267644-guzn0peq 206 6 statistics statistic NNS cord-267644-guzn0peq 206 7 of of IN cord-267644-guzn0peq 206 8 the the DT cord-267644-guzn0peq 206 9 estimated estimate VBN cord-267644-guzn0peq 206 10 critical critical JJ cord-267644-guzn0peq 206 11 temperature temperature NN cord-267644-guzn0peq 206 12 , , , cord-267644-guzn0peq 206 13 we -PRON- PRP cord-267644-guzn0peq 206 14 combine combine VBP cord-267644-guzn0peq 206 15 the the DT cord-267644-guzn0peq 206 16 sample sample NN cord-267644-guzn0peq 206 17 points point NNS cord-267644-guzn0peq 207 1 ( ( -LRB- cord-267644-guzn0peq 207 2 T T NNP cord-267644-guzn0peq 207 3 i i PRP cord-267644-guzn0peq 207 4 ±δT ±δt VBP cord-267644-guzn0peq 207 5 i i PRP cord-267644-guzn0peq 207 6 , , , cord-267644-guzn0peq 207 7 λ λ NN cord-267644-guzn0peq 208 1 i i PRP cord-267644-guzn0peq 208 2 ±δλ ±δλ NNP cord-267644-guzn0peq 209 1 i i PRP cord-267644-guzn0peq 209 2 ) ) -RRB- cord-267644-guzn0peq 209 3 of of IN cord-267644-guzn0peq 209 4 US US NNP cord-267644-guzn0peq 209 5 and and CC cord-267644-guzn0peq 209 6 Italian italian JJ cord-267644-guzn0peq 209 7 regions region NNS cord-267644-guzn0peq 209 8 . . . cord-267644-guzn0peq 210 1 First first RB cord-267644-guzn0peq 210 2 , , , cord-267644-guzn0peq 210 3 we -PRON- PRP cord-267644-guzn0peq 210 4 perform perform VBP cord-267644-guzn0peq 210 5 the the DT cord-267644-guzn0peq 210 6 Student Student NNP cord-267644-guzn0peq 210 7 's 's POS cord-267644-guzn0peq 210 8 t t NN cord-267644-guzn0peq 210 9 - - HYPH cord-267644-guzn0peq 210 10 test test NN cord-267644-guzn0peq 210 11 to to TO cord-267644-guzn0peq 210 12 compare compare VB cord-267644-guzn0peq 210 13 the the DT cord-267644-guzn0peq 210 14 slopes slope NNS cord-267644-guzn0peq 210 15 from from IN cord-267644-guzn0peq 210 16 these these DT cord-267644-guzn0peq 210 17 regions region NNS cord-267644-guzn0peq 210 18 ; ; : cord-267644-guzn0peq 210 19 we -PRON- PRP cord-267644-guzn0peq 210 20 find find VBP cord-267644-guzn0peq 210 21 high high JJ cord-267644-guzn0peq 210 22 p p NN cord-267644-guzn0peq 210 23 t t NN cord-267644-guzn0peq 211 1 -values -values . cord-267644-guzn0peq 212 1 ( ( -LRB- cord-267644-guzn0peq 212 2 > > NFP cord-267644-guzn0peq 212 3 0.05 0.05 CD cord-267644-guzn0peq 212 4 ) ) -RRB- cord-267644-guzn0peq 212 5 for for IN cord-267644-guzn0peq 212 6 both both DT cord-267644-guzn0peq 212 7 fits fit NNS cord-267644-guzn0peq 212 8 of of IN cord-267644-guzn0peq 212 9 x x NN cord-267644-guzn0peq 213 1 = = SYM cord-267644-guzn0peq 213 2 T t NN cord-267644-guzn0peq 213 3 and and CC cord-267644-guzn0peq 214 1 x x LS cord-267644-guzn0peq 215 1 = = SYM cord-267644-guzn0peq 215 2 T T NNP cord-267644-guzn0peq 215 3 -1 -1 NN cord-267644-guzn0peq 215 4 , , , cord-267644-guzn0peq 215 5 thus thus RB cord-267644-guzn0peq 215 6 , , , cord-267644-guzn0peq 215 7 the the DT cord-267644-guzn0peq 215 8 two two CD cord-267644-guzn0peq 215 9 populations population NNS cord-267644-guzn0peq 215 10 are be VBP cord-267644-guzn0peq 215 11 likely likely RB cord-267644-guzn0peq 215 12 characterized characterize VBN cord-267644-guzn0peq 215 13 by by IN cord-267644-guzn0peq 215 14 the the DT cord-267644-guzn0peq 215 15 same same JJ cord-267644-guzn0peq 215 16 slope slope NN cord-267644-guzn0peq 215 17 . . . cord-267644-guzn0peq 216 1 The the DT cord-267644-guzn0peq 216 2 respective respective NNS cord-267644-guzn0peq 216 3 intercept intercept VBP cord-267644-guzn0peq 216 4 λ λ NN cord-267644-guzn0peq 216 5 0 0 NFP cord-267644-guzn0peq 216 6 does do VBZ cord-267644-guzn0peq 216 7 not not RB cord-267644-guzn0peq 216 8 pass pass VB cord-267644-guzn0peq 216 9 the the DT cord-267644-guzn0peq 216 10 same same JJ cord-267644-guzn0peq 216 11 test test NN cord-267644-guzn0peq 216 12 , , , cord-267644-guzn0peq 216 13 i.e. i.e. FW cord-267644-guzn0peq 216 14 , , , cord-267644-guzn0peq 216 15 the the DT cord-267644-guzn0peq 216 16 intercepts intercept NNS cord-267644-guzn0peq 216 17 corresponding correspond VBG cord-267644-guzn0peq 216 18 to to IN cord-267644-guzn0peq 216 19 US US NNP cord-267644-guzn0peq 216 20 and and CC cord-267644-guzn0peq 216 21 Italian italian JJ cord-267644-guzn0peq 216 22 regions region NNS cord-267644-guzn0peq 216 23 are be VBP cord-267644-guzn0peq 216 24 likely likely RB cord-267644-guzn0peq 216 25 different different JJ cord-267644-guzn0peq 216 26 ; ; : cord-267644-guzn0peq 216 27 ( ( -LRB- cord-267644-guzn0peq 216 28 that that DT cord-267644-guzn0peq 216 29 is be VBZ cord-267644-guzn0peq 216 30 expected expect VBN cord-267644-guzn0peq 216 31 , , , cord-267644-guzn0peq 216 32 given give VBN cord-267644-guzn0peq 216 33 of of IN cord-267644-guzn0peq 216 34 the the DT cord-267644-guzn0peq 216 35 different different JJ cord-267644-guzn0peq 216 36 culture culture NN cord-267644-guzn0peq 216 37 ) ) -RRB- cord-267644-guzn0peq 216 38 . . . cord-267644-guzn0peq 217 1 A a DT cord-267644-guzn0peq 217 2 universality universality NN cord-267644-guzn0peq 217 3 may may MD cord-267644-guzn0peq 217 4 characterize characterize VB cord-267644-guzn0peq 217 5 the the DT cord-267644-guzn0peq 217 6 slopes slope NNS cord-267644-guzn0peq 217 7 of of IN cord-267644-guzn0peq 217 8 two two CD cord-267644-guzn0peq 217 9 countries country NNS cord-267644-guzn0peq 217 10 , , , cord-267644-guzn0peq 217 11 either either CC cord-267644-guzn0peq 217 12 for for IN cord-267644-guzn0peq 217 13 the the DT cord-267644-guzn0peq 217 14 fits fit NNS cord-267644-guzn0peq 217 15 with with IN cord-267644-guzn0peq 217 16 x x NN cord-267644-guzn0peq 218 1 = = SYM cord-267644-guzn0peq 218 2 T T NNP cord-267644-guzn0peq 218 3 or or CC cord-267644-guzn0peq 218 4 x x NN cord-267644-guzn0peq 219 1 = = SYM cord-267644-guzn0peq 219 2 T T NNP cord-267644-guzn0peq 219 3 -1 -1 NN cord-267644-guzn0peq 219 4 , , , cord-267644-guzn0peq 219 5 i.e. i.e. FW cord-267644-guzn0peq 219 6 , , , cord-267644-guzn0peq 219 7 p p NN cord-267644-guzn0peq 219 8 2 2 CD cord-267644-guzn0peq 219 9 = = NFP cord-267644-guzn0peq 220 1 ( ( -LRB- cord-267644-guzn0peq 220 2 @λ/ @λ/ NN cord-267644-guzn0peq 220 3 @T @t JJ cord-267644-guzn0peq 220 4 ) ) -RRB- cord-267644-guzn0peq 220 5 NTP NTP NNP cord-267644-guzn0peq 220 6 or or CC cord-267644-guzn0peq 220 7 p p NN cord-267644-guzn0peq 220 8 2 2 CD cord-267644-guzn0peq 221 1 = = SYM cord-267644-guzn0peq 221 2 |E |e CD cord-267644-guzn0peq 221 3 a a DT cord-267644-guzn0peq 221 4 |/(τk |/(τk NN cord-267644-guzn0peq 221 5 B b NN cord-267644-guzn0peq 221 6 ) ) -RRB- cord-267644-guzn0peq 221 7 , , , cord-267644-guzn0peq 221 8 respectively respectively RB cord-267644-guzn0peq 221 9 . . . cord-267644-guzn0peq 222 1 Next next RB cord-267644-guzn0peq 222 2 , , , cord-267644-guzn0peq 222 3 we -PRON- PRP cord-267644-guzn0peq 222 4 perform perform VBP cord-267644-guzn0peq 222 5 the the DT cord-267644-guzn0peq 222 6 linear linear JJ cord-267644-guzn0peq 222 7 fits fit NNS cord-267644-guzn0peq 222 8 of of IN cord-267644-guzn0peq 222 9 the the DT cord-267644-guzn0peq 222 10 sample sample NN cord-267644-guzn0peq 222 11 points point NNS cord-267644-guzn0peq 223 1 ( ( -LRB- cord-267644-guzn0peq 223 2 T T NNP cord-267644-guzn0peq 223 3 i i PRP cord-267644-guzn0peq 223 4 ±δT ±δt VBP cord-267644-guzn0peq 223 5 i i PRP cord-267644-guzn0peq 223 6 , , , cord-267644-guzn0peq 223 7 λ λ NNP cord-267644-guzn0peq 223 8 i i NN cord-267644-guzn0peq 224 1 ±δλ ±δλ NNP cord-267644-guzn0peq 224 2 i i NN cord-267644-guzn0peq 224 3 ) ) -RRB- cord-267644-guzn0peq 224 4 and and CC cord-267644-guzn0peq 224 5 ( ( -LRB- cord-267644-guzn0peq 224 6 T T NNP cord-267644-guzn0peq 224 7 i i NNP cord-267644-guzn0peq 224 8 , , , cord-267644-guzn0peq 224 9 λ λ NN cord-267644-guzn0peq 224 10 i i NN cord-267644-guzn0peq 224 11 ±δλ ±δλ NNP cord-267644-guzn0peq 224 12 i i NN cord-267644-guzn0peq 224 13 ) ) -RRB- cord-267644-guzn0peq 224 14 for for IN cord-267644-guzn0peq 224 15 the the DT cord-267644-guzn0peq 224 16 mixed mixed JJ cord-267644-guzn0peq 224 17 set set NN cord-267644-guzn0peq 224 18 of of IN cord-267644-guzn0peq 224 19 US US NNP cord-267644-guzn0peq 224 20 and and CC cord-267644-guzn0peq 224 21 Italian italian JJ cord-267644-guzn0peq 224 22 data datum NNS cord-267644-guzn0peq 224 23 , , , cord-267644-guzn0peq 224 24 once once IN cord-267644-guzn0peq 224 25 the the DT cord-267644-guzn0peq 224 26 rates rate NNS cord-267644-guzn0peq 224 27 of of IN cord-267644-guzn0peq 224 28 the the DT cord-267644-guzn0peq 224 29 Italian italian JJ cord-267644-guzn0peq 224 30 regions region NNS cord-267644-guzn0peq 224 31 are be VBP cord-267644-guzn0peq 224 32 shifted shift VBN cord-267644-guzn0peq 224 33 by by IN cord-267644-guzn0peq 224 34 Δλ Δλ NNP cord-267644-guzn0peq 224 35 ; ; : cord-267644-guzn0peq 224 36 ( ( -LRB- cord-267644-guzn0peq 224 37 this this DT cord-267644-guzn0peq 224 38 is be VBZ cord-267644-guzn0peq 224 39 allowed allow VBN cord-267644-guzn0peq 224 40 , , , cord-267644-guzn0peq 224 41 since since IN cord-267644-guzn0peq 224 42 it -PRON- PRP cord-267644-guzn0peq 224 43 has have VBZ cord-267644-guzn0peq 224 44 just just RB cord-267644-guzn0peq 224 45 be be VB cord-267644-guzn0peq 224 46 shown show VBN cord-267644-guzn0peq 224 47 that that IN cord-267644-guzn0peq 224 48 a a DT cord-267644-guzn0peq 224 49 universality universality NN cord-267644-guzn0peq 224 50 is be VBZ cord-267644-guzn0peq 224 51 likely likely RB cord-267644-guzn0peq 224 52 characterized characterize VBN cord-267644-guzn0peq 224 53 the the DT cord-267644-guzn0peq 224 54 slopes slope NNS cord-267644-guzn0peq 224 55 ) ) -RRB- cord-267644-guzn0peq 224 56 . . . cord-267644-guzn0peq 225 1 The the DT cord-267644-guzn0peq 225 2 optimal optimal JJ cord-267644-guzn0peq 225 3 fitting fitting NN cord-267644-guzn0peq 225 4 is be VBZ cord-267644-guzn0peq 225 5 obtained obtain VBN cord-267644-guzn0peq 225 6 for for IN cord-267644-guzn0peq 225 7 that that DT cord-267644-guzn0peq 225 8 shift shift NN cord-267644-guzn0peq 225 9 Δλ Δλ NNP cord-267644-guzn0peq 225 10 , , , cord-267644-guzn0peq 225 11 for for IN cord-267644-guzn0peq 225 12 which which WDT cord-267644-guzn0peq 225 13 the the DT cord-267644-guzn0peq 225 14 reduced reduce VBN cord-267644-guzn0peq 225 15 chi chi NNP cord-267644-guzn0peq 225 16 - - HYPH cord-267644-guzn0peq 225 17 square square NNP cord-267644-guzn0peq 225 18 is be VBZ cord-267644-guzn0peq 225 19 1 1 CD cord-267644-guzn0peq 225 20 , , , cord-267644-guzn0peq 225 21 the the DT cord-267644-guzn0peq 225 22 p p NN cord-267644-guzn0peq 225 23 - - HYPH cord-267644-guzn0peq 225 24 value value NN cord-267644-guzn0peq 225 25 of of IN cord-267644-guzn0peq 225 26 the the DT cord-267644-guzn0peq 225 27 extremes extreme NNS cord-267644-guzn0peq 225 28 is~0.5 is~0.5 NN cord-267644-guzn0peq 225 29 , , , cord-267644-guzn0peq 225 30 and and CC cord-267644-guzn0peq 225 31 the the DT cord-267644-guzn0peq 225 32 combined combine VBN cord-267644-guzn0peq 225 33 measure~0 measure~0 . cord-267644-guzn0peq 225 34 ( ( -LRB- cord-267644-guzn0peq 225 35 see see VB cord-267644-guzn0peq 225 36 previous previous JJ cord-267644-guzn0peq 225 37 section section NN cord-267644-guzn0peq 225 38 ) ) -RRB- cord-267644-guzn0peq 225 39 . . . cord-267644-guzn0peq 226 1 Fig Fig NNP cord-267644-guzn0peq 226 2 7 7 CD cord-267644-guzn0peq 226 3 shows show VBZ cord-267644-guzn0peq 226 4 how how WRB cord-267644-guzn0peq 226 5 the the DT cord-267644-guzn0peq 226 6 combined combined JJ cord-267644-guzn0peq 226 7 datasets dataset NNS cord-267644-guzn0peq 226 8 of of IN cord-267644-guzn0peq 226 9 temperature temperature NN cord-267644-guzn0peq 226 10 - - HYPH cord-267644-guzn0peq 226 11 rates rate NNS cord-267644-guzn0peq 226 12 from from IN cord-267644-guzn0peq 226 13 US US NNP cord-267644-guzn0peq 226 14 and and CC cord-267644-guzn0peq 226 15 Italian italian JJ cord-267644-guzn0peq 226 16 regions region NNS cord-267644-guzn0peq 226 17 lead lead VBP cord-267644-guzn0peq 226 18 to to IN cord-267644-guzn0peq 226 19 the the DT cord-267644-guzn0peq 226 20 optimal optimal JJ cord-267644-guzn0peq 226 21 fitting fitting NN cord-267644-guzn0peq 226 22 . . . cord-267644-guzn0peq 227 1 ( ( -LRB- cord-267644-guzn0peq 227 2 Note note VB cord-267644-guzn0peq 227 3 that that IN cord-267644-guzn0peq 227 4 the the DT cord-267644-guzn0peq 227 5 optimization optimization NN cord-267644-guzn0peq 227 6 is be VBZ cord-267644-guzn0peq 227 7 not not RB cord-267644-guzn0peq 227 8 performed perform VBN cord-267644-guzn0peq 227 9 for for IN cord-267644-guzn0peq 227 10 the the DT cord-267644-guzn0peq 227 11 binned bin VBN cord-267644-guzn0peq 227 12 datasets dataset NNS cord-267644-guzn0peq 227 13 , , , cord-267644-guzn0peq 227 14 since since IN cord-267644-guzn0peq 227 15 they -PRON- PRP cord-267644-guzn0peq 227 16 are be VBP cord-267644-guzn0peq 227 17 characterized characterize VBN cord-267644-guzn0peq 227 18 by by IN cord-267644-guzn0peq 227 19 smaller small JJR cord-267644-guzn0peq 227 20 p p NN cord-267644-guzn0peq 227 21 - - HYPH cord-267644-guzn0peq 227 22 values value NNS cord-267644-guzn0peq 227 23 - - , cord-267644-guzn0peq 227 24 see see VB cord-267644-guzn0peq 227 25 , , , cord-267644-guzn0peq 227 26 Figs Figs NNP cord-267644-guzn0peq 227 27 5 5 CD cord-267644-guzn0peq 227 28 and and CC cord-267644-guzn0peq 227 29 6 6 CD cord-267644-guzn0peq 227 30 ) ) -RRB- cord-267644-guzn0peq 227 31 . . . cord-267644-guzn0peq 228 1 The the DT cord-267644-guzn0peq 228 2 results result NNS cord-267644-guzn0peq 228 3 are be VBP cord-267644-guzn0peq 228 4 shown show VBN cord-267644-guzn0peq 228 5 in in IN cord-267644-guzn0peq 228 6 Table Table NNP cord-267644-guzn0peq 228 7 5 5 CD cord-267644-guzn0peq 228 8 ; ; : cord-267644-guzn0peq 228 9 we -PRON- PRP cord-267644-guzn0peq 228 10 observe observe VBP cord-267644-guzn0peq 228 11 that that IN cord-267644-guzn0peq 228 12 the the DT cord-267644-guzn0peq 228 13 optimization optimization NN cord-267644-guzn0peq 228 14 is be VBZ cord-267644-guzn0peq 228 15 reached reach VBN cord-267644-guzn0peq 228 16 for for IN cord-267644-guzn0peq 228 17 two two CD cord-267644-guzn0peq 228 18 values value NNS cord-267644-guzn0peq 228 19 of of IN cord-267644-guzn0peq 228 20 the the DT cord-267644-guzn0peq 228 21 shift shift NN cord-267644-guzn0peq 229 1 Δλ Δλ NNP cord-267644-guzn0peq 230 1 ; ; : cord-267644-guzn0peq 230 2 we -PRON- PRP cord-267644-guzn0peq 230 3 estimate estimate VBP cord-267644-guzn0peq 230 4 the the DT cord-267644-guzn0peq 230 5 weighted weighted JJ cord-267644-guzn0peq 230 6 average average NN cord-267644-guzn0peq 230 7 of of IN cord-267644-guzn0peq 230 8 the the DT cord-267644-guzn0peq 230 9 results result NNS cord-267644-guzn0peq 230 10 corresponding correspond VBG cord-267644-guzn0peq 230 11 to to IN cord-267644-guzn0peq 230 12 the the DT cord-267644-guzn0peq 230 13 two two CD cord-267644-guzn0peq 230 14 shifts shift NNS cord-267644-guzn0peq 230 15 . . . cord-267644-guzn0peq 231 1 The the DT cord-267644-guzn0peq 231 2 weighted weighted JJ cord-267644-guzn0peq 231 3 mean mean NN cord-267644-guzn0peq 231 4 is be VBZ cord-267644-guzn0peq 231 5 performed perform VBN cord-267644-guzn0peq 231 6 separately separately RB cord-267644-guzn0peq 231 7 for for IN cord-267644-guzn0peq 231 8 the the DT cord-267644-guzn0peq 231 9 fitting fitting JJ cord-267644-guzn0peq 231 10 cases case NNS cord-267644-guzn0peq 231 11 of of IN cord-267644-guzn0peq 231 12 x x SYM cord-267644-guzn0peq 231 13 = = SYM cord-267644-guzn0peq 231 14 T t NN cord-267644-guzn0peq 231 15 and and CC cord-267644-guzn0peq 231 16 x x NN cord-267644-guzn0peq 231 17 = = SYM cord-267644-guzn0peq 231 18 T t NN cord-267644-guzn0peq 231 19 -1 -1 NN cord-267644-guzn0peq 231 20 ; ; : cord-267644-guzn0peq 231 21 however however RB cord-267644-guzn0peq 231 22 , , , cord-267644-guzn0peq 231 23 the the DT cord-267644-guzn0peq 231 24 weighted weighted JJ cord-267644-guzn0peq 231 25 mean mean NN cord-267644-guzn0peq 231 26 of of IN cord-267644-guzn0peq 231 27 the the DT cord-267644-guzn0peq 231 28 critical critical JJ cord-267644-guzn0peq 231 29 temperature temperature NN cord-267644-guzn0peq 231 30 is be VBZ cord-267644-guzn0peq 231 31 performed perform VBN cord-267644-guzn0peq 231 32 for for IN cord-267644-guzn0peq 231 33 all all DT cord-267644-guzn0peq 231 34 four four CD cord-267644-guzn0peq 231 35 results result NNS cord-267644-guzn0peq 231 36 . . . cord-267644-guzn0peq 232 1 Table table NN cord-267644-guzn0peq 232 2 5 5 CD cord-267644-guzn0peq 232 3 includes include VBZ cord-267644-guzn0peq 232 4 the the DT cord-267644-guzn0peq 232 5 weighted weighted JJ cord-267644-guzn0peq 232 6 means mean NNS cord-267644-guzn0peq 232 7 of of IN cord-267644-guzn0peq 232 8 slopes slope NNS cord-267644-guzn0peq 232 9 for for IN cord-267644-guzn0peq 232 10 the the DT cord-267644-guzn0peq 232 11 fits fit NNS cord-267644-guzn0peq 232 12 x x SYM cord-267644-guzn0peq 232 13 = = SYM cord-267644-guzn0peq 232 14 T t NN cord-267644-guzn0peq 232 15 or or CC cord-267644-guzn0peq 233 1 x x LS cord-267644-guzn0peq 234 1 = = SYM cord-267644-guzn0peq 234 2 T T NNP cord-267644-guzn0peq 234 3 -1 -1 NN cord-267644-guzn0peq 234 4 , , , cord-267644-guzn0peq 234 5 with with IN cord-267644-guzn0peq 234 6 slopes slope NNS cord-267644-guzn0peq 234 7 p p NN cord-267644-guzn0peq 234 8 2 2 CD cord-267644-guzn0peq 234 9 = = NFP cord-267644-guzn0peq 235 1 −|@λ/@T| −|@λ/@t| CD cord-267644-guzn0peq 235 2 NTP NTP NNP cord-267644-guzn0peq 235 3 and and CC cord-267644-guzn0peq 235 4 p p NN cord-267644-guzn0peq 236 1 2 2 LS cord-267644-guzn0peq 236 2 = = SYM cord-267644-guzn0peq 236 3 |E |e CD cord-267644-guzn0peq 236 4 a a DT cord-267644-guzn0peq 236 5 |/(τk |/(τk NN cord-267644-guzn0peq 236 6 B b NN cord-267644-guzn0peq 236 7 ) ) -RRB- cord-267644-guzn0peq 236 8 , , , cord-267644-guzn0peq 236 9 respectively respectively RB cord-267644-guzn0peq 236 10 . . . cord-267644-guzn0peq 237 1 The the DT cord-267644-guzn0peq 237 2 latter latter JJ cord-267644-guzn0peq 237 3 can can MD cord-267644-guzn0peq 237 4 be be VB cord-267644-guzn0peq 237 5 used use VBN cord-267644-guzn0peq 237 6 for for IN cord-267644-guzn0peq 237 7 deriving derive VBG cord-267644-guzn0peq 237 8 the the DT cord-267644-guzn0peq 237 9 activation activation NN cord-267644-guzn0peq 237 10 Table table NN cord-267644-guzn0peq 237 11 3 3 CD cord-267644-guzn0peq 237 12 . . . cord-267644-guzn0peq 238 1 Fitting fitting JJ cord-267644-guzn0peq 238 2 parameters parameter NNS cord-267644-guzn0peq 238 3 of of IN cord-267644-guzn0peq 238 4 temperature temperature NN cord-267644-guzn0peq 238 5 - - HYPH cord-267644-guzn0peq 238 6 rate rate NN cord-267644-guzn0peq 238 7 values value NNS cord-267644-guzn0peq 238 8 for for IN cord-267644-guzn0peq 238 9 US US NNP cord-267644-guzn0peq 238 10 and and CC cord-267644-guzn0peq 238 11 Italian italian JJ cord-267644-guzn0peq 238 12 regions region NNS cord-267644-guzn0peq 238 13 . . . cord-267644-guzn0peq 239 1 19B 19b LS cord-267644-guzn0peq 239 2 ) ) -RRB- cord-267644-guzn0peq 239 3 we -PRON- PRP cord-267644-guzn0peq 239 4 derive derive VBP cord-267644-guzn0peq 239 5 the the DT cord-267644-guzn0peq 239 6 reproduction reproduction NN cord-267644-guzn0peq 239 7 number number NN cord-267644-guzn0peq 239 8 R r NN cord-267644-guzn0peq 239 9 0 0 CD cord-267644-guzn0peq 239 10 , , , cord-267644-guzn0peq 239 11 i.e. i.e. FW cord-267644-guzn0peq 239 12 , , , cord-267644-guzn0peq 239 13 The the DT cord-267644-guzn0peq 239 14 two two CD cord-267644-guzn0peq 239 15 formulae formula NNS cord-267644-guzn0peq 239 16 in in IN cord-267644-guzn0peq 239 17 Eq Eq NNP cord-267644-guzn0peq 239 18 ( ( -LRB- cord-267644-guzn0peq 239 19 12B 12b LS cord-267644-guzn0peq 239 20 ) ) -RRB- cord-267644-guzn0peq 239 21 provide provide VB cord-267644-guzn0peq 239 22 the the DT cord-267644-guzn0peq 239 23 value value NN cord-267644-guzn0peq 239 24 of of IN cord-267644-guzn0peq 239 25 1 1 CD cord-267644-guzn0peq 239 26 t t NN cord-267644-guzn0peq 239 27 lnðR lnðr NN cord-267644-guzn0peq 239 28 NTP NTP NNP cord-267644-guzn0peq 239 29 0 0 NFP cord-267644-guzn0peq 239 30 Þ Þ NNP cord-267644-guzn0peq 239 31 as as IN cord-267644-guzn0peq 239 32 0.0572±0.0098 0.0572±0.0098 CD cord-267644-guzn0peq 239 33 and and CC cord-267644-guzn0peq 239 34 0.0534 0.0534 CD cord-267644-guzn0peq 239 35 ±0.0146 ±0.0146 CD cord-267644-guzn0peq 239 36 , , , cord-267644-guzn0peq 239 37 respectively respectively RB cord-267644-guzn0peq 239 38 , , , cord-267644-guzn0peq 239 39 with with IN cord-267644-guzn0peq 239 40 weighted weighted JJ cord-267644-guzn0peq 239 41 mean mean JJ cord-267644-guzn0peq 239 42 0.0560±0.0084 0.0560±0.0084 CD cord-267644-guzn0peq 239 43 ; ; : cord-267644-guzn0peq 239 44 then then RB cord-267644-guzn0peq 239 45 , , , cord-267644-guzn0peq 239 46 we -PRON- PRP cord-267644-guzn0peq 239 47 find find VBP cord-267644-guzn0peq 239 48 R r NN cord-267644-guzn0peq 239 49 NTP ntp NN cord-267644-guzn0peq 239 50 0 0 CD cord-267644-guzn0peq 239 51 ffi ffi NNP cord-267644-guzn0peq 239 52 1:34 1:34 CD cord-267644-guzn0peq 239 53 � � CD cord-267644-guzn0peq 239 54 0:10 0:10 CD cord-267644-guzn0peq 239 55 , , , cord-267644-guzn0peq 239 56 that that RB cord-267644-guzn0peq 239 57 is is RB cord-267644-guzn0peq 239 58 , , , cord-267644-guzn0peq 239 59 the the DT cord-267644-guzn0peq 239 60 reproduction reproduction NN cord-267644-guzn0peq 239 61 number number NN cord-267644-guzn0peq 239 62 for for IN cord-267644-guzn0peq 239 63 T t NN cord-267644-guzn0peq 239 64 = = SYM cord-267644-guzn0peq 239 65 20 20 CD cord-267644-guzn0peq 239 66 C c NN cord-267644-guzn0peq 239 67 0 0 CD cord-267644-guzn0peq 239 68 . . . cord-267644-guzn0peq 240 1 The the DT cord-267644-guzn0peq 240 2 corresponding corresponding JJ cord-267644-guzn0peq 240 3 number number NN cord-267644-guzn0peq 240 4 at at IN cord-267644-guzn0peq 240 5 T t NN cord-267644-guzn0peq 240 6 = = SYM cord-267644-guzn0peq 240 7 0 0 CD cord-267644-guzn0peq 240 8 C c NN cord-267644-guzn0peq 240 9 0 0 NFP cord-267644-guzn0peq 240 10 is be VBZ cord-267644-guzn0peq 240 11 R r NN cord-267644-guzn0peq 240 12 0 0 CD cord-267644-guzn0peq 240 13 ( ( -LRB- cord-267644-guzn0peq 240 14 0C 0c CD cord-267644-guzn0peq 240 15 0 0 CD cord-267644-guzn0peq 240 16 ) ) -RRB- cord-267644-guzn0peq 241 1 ffi2.47±0.45 ffi2.47±0.45 FW cord-267644-guzn0peq 241 2 , , , cord-267644-guzn0peq 241 3 while while IN cord-267644-guzn0peq 241 4 by by IN cord-267644-guzn0peq 241 5 substituting substitute VBG cord-267644-guzn0peq 241 6 the the DT cord-267644-guzn0peq 241 7 estimated estimate VBN cord-267644-guzn0peq 241 8 parameters parameter NNS cord-267644-guzn0peq 241 9 in in IN cord-267644-guzn0peq 241 10 Eq Eq NNP cord-267644-guzn0peq 241 11 ( ( -LRB- cord-267644-guzn0peq 241 12 8) 8) NNP cord-267644-guzn0peq 241 13 , , , cord-267644-guzn0peq 241 14 we -PRON- PRP cord-267644-guzn0peq 241 15 derive derive VBP cord-267644-guzn0peq 241 16 the the DT cord-267644-guzn0peq 241 17 _SP cord-267644-guzn0peq 241 18 Up Up NNP cord-267644-guzn0peq 241 19 - - HYPH cord-267644-guzn0peq 241 20 to to IN cord-267644-guzn0peq 241 21 - - HYPH cord-267644-guzn0peq 241 22 date date NN cord-267644-guzn0peq 241 23 there there EX cord-267644-guzn0peq 241 24 is be VBZ cord-267644-guzn0peq 241 25 no no DT cord-267644-guzn0peq 241 26 systematic systematic JJ cord-267644-guzn0peq 241 27 statistical statistical JJ cord-267644-guzn0peq 241 28 analysis analysis NN cord-267644-guzn0peq 241 29 of of IN cord-267644-guzn0peq 241 30 the the DT cord-267644-guzn0peq 241 31 effect effect NN cord-267644-guzn0peq 241 32 of of IN cord-267644-guzn0peq 241 33 the the DT cord-267644-guzn0peq 241 34 environmental environmental JJ cord-267644-guzn0peq 241 35 temperature temperature NN cord-267644-guzn0peq 241 36 T T NNP cord-267644-guzn0peq 241 37 ( ( -LRB- cord-267644-guzn0peq 241 38 and and CC cord-267644-guzn0peq 241 39 possibly possibly RB cord-267644-guzn0peq 241 40 other other JJ cord-267644-guzn0peq 241 41 weather weather NN cord-267644-guzn0peq 241 42 parameters parameter NNS cord-267644-guzn0peq 241 43 ) ) -RRB- cord-267644-guzn0peq 241 44 on on IN cord-267644-guzn0peq 241 45 the the DT cord-267644-guzn0peq 241 46 exponential exponential JJ cord-267644-guzn0peq 241 47 growth growth NN cord-267644-guzn0peq 241 48 rate rate NN cord-267644-guzn0peq 241 49 of of IN cord-267644-guzn0peq 241 50 the the DT cord-267644-guzn0peq 241 51 cases case NNS cord-267644-guzn0peq 241 52 infected infect VBN cord-267644-guzn0peq 241 53 by by IN cord-267644-guzn0peq 241 54 COVID-19 COVID-19 NNP cord-267644-guzn0peq 241 55 , , , cord-267644-guzn0peq 241 56 while while IN cord-267644-guzn0peq 241 57 a a DT cord-267644-guzn0peq 241 58 statistically statistically RB cord-267644-guzn0peq 241 59 confident confident JJ cord-267644-guzn0peq 241 60 relationship relationship NN cord-267644-guzn0peq 241 61 between between IN cord-267644-guzn0peq 241 62 temperature temperature NN cord-267644-guzn0peq 241 63 and and CC cord-267644-guzn0peq 241 64 growth growth NN cord-267644-guzn0peq 241 65 rate rate NN cord-267644-guzn0peq 241 66 ( ( -LRB- cord-267644-guzn0peq 241 67 either either CC cord-267644-guzn0peq 241 68 with with IN cord-267644-guzn0peq 241 69 positive positive JJ cord-267644-guzn0peq 241 70 or or CC cord-267644-guzn0peq 241 71 negative negative JJ cord-267644-guzn0peq 241 72 correlation correlation NN cord-267644-guzn0peq 241 73 ) ) -RRB- cord-267644-guzn0peq 241 74 was be VBD cord-267644-guzn0peq 241 75 unknown unknown JJ cord-267644-guzn0peq 241 76 . . . cord-267644-guzn0peq 242 1 The the DT cord-267644-guzn0peq 242 2 presented present VBN cord-267644-guzn0peq 242 3 analysis analysis NN cord-267644-guzn0peq 242 4 led lead VBD cord-267644-guzn0peq 242 5 to to IN cord-267644-guzn0peq 242 6 the the DT cord-267644-guzn0peq 242 7 first first JJ cord-267644-guzn0peq 242 8 statistically statistically RB cord-267644-guzn0peq 242 9 confident confident JJ cord-267644-guzn0peq 242 10 relationship relationship NN cord-267644-guzn0peq 242 11 of of IN cord-267644-guzn0peq 242 12 negative negative JJ cord-267644-guzn0peq 242 13 correlation correlation NN cord-267644-guzn0peq 242 14 between between IN cord-267644-guzn0peq 242 15 the the DT cord-267644-guzn0peq 242 16 exponential exponential JJ cord-267644-guzn0peq 242 17 growth growth NN cord-267644-guzn0peq 242 18 rate rate NN cord-267644-guzn0peq 242 19 and and CC cord-267644-guzn0peq 242 20 the the DT cord-267644-guzn0peq 242 21 average average JJ cord-267644-guzn0peq 242 22 environmental environmental JJ cord-267644-guzn0peq 242 23 temperature temperature NN cord-267644-guzn0peq 242 24 , , , cord-267644-guzn0peq 242 25 derived derive VBN cord-267644-guzn0peq 242 26 for for IN cord-267644-guzn0peq 242 27 US US NNP cord-267644-guzn0peq 242 28 and and CC cord-267644-guzn0peq 242 29 Italian italian JJ cord-267644-guzn0peq 242 30 regions region NNS cord-267644-guzn0peq 242 31 . . . cord-267644-guzn0peq 243 1 In in IN cord-267644-guzn0peq 243 2 particular particular JJ cord-267644-guzn0peq 243 3 , , , cord-267644-guzn0peq 243 4 we -PRON- PRP cord-267644-guzn0peq 243 5 analyzed analyze VBD cord-267644-guzn0peq 243 6 datasets dataset NNS cord-267644-guzn0peq 243 7 of of IN cord-267644-guzn0peq 243 8 regional regional JJ cord-267644-guzn0peq 243 9 infected infected JJ cord-267644-guzn0peq 243 10 cases case NNS cord-267644-guzn0peq 243 11 in in IN cord-267644-guzn0peq 243 12 US US NNP cord-267644-guzn0peq 243 13 and and CC cord-267644-guzn0peq 243 14 Italy Italy NNP cord-267644-guzn0peq 243 15 , , , cord-267644-guzn0peq 243 16 derived derive VBD cord-267644-guzn0peq 243 17 the the DT cord-267644-guzn0peq 243 18 exponential exponential JJ cord-267644-guzn0peq 243 19 growth growth NN cord-267644-guzn0peq 243 20 rates rate NNS cord-267644-guzn0peq 243 21 for for IN cord-267644-guzn0peq 243 22 each each DT cord-267644-guzn0peq 243 23 of of IN cord-267644-guzn0peq 243 24 these these DT cord-267644-guzn0peq 243 25 regions region NNS cord-267644-guzn0peq 243 26 and and CC cord-267644-guzn0peq 243 27 plotted plot VBD cord-267644-guzn0peq 243 28 them -PRON- PRP cord-267644-guzn0peq 243 29 against against IN cord-267644-guzn0peq 243 30 environmental environmental JJ cord-267644-guzn0peq 243 31 temperatures temperature NNS cord-267644-guzn0peq 243 32 averaged average VBD cord-267644-guzn0peq 243 33 within within IN cord-267644-guzn0peq 243 34 the the DT cord-267644-guzn0peq 243 35 same same JJ cord-267644-guzn0peq 243 36 regions region NNS cord-267644-guzn0peq 243 37 , , , cord-267644-guzn0peq 243 38 derived derive VBD cord-267644-guzn0peq 243 39 the the DT cord-267644-guzn0peq 243 40 relationship relationship NN cord-267644-guzn0peq 243 41 of of IN cord-267644-guzn0peq 243 42 temperature temperature NN cord-267644-guzn0peq 243 43 - - HYPH cord-267644-guzn0peq 243 44 growth growth NN cord-267644-guzn0peq 243 45 rate rate NN cord-267644-guzn0peq 243 46 , , , cord-267644-guzn0peq 243 47 and and CC cord-267644-guzn0peq 243 48 evaluated evaluate VBD cord-267644-guzn0peq 243 49 its -PRON- PRP$ cord-267644-guzn0peq 243 50 statistical statistical JJ cord-267644-guzn0peq 243 51 confidence confidence NN cord-267644-guzn0peq 243 52 . . . cord-267644-guzn0peq 244 1 The the DT cord-267644-guzn0peq 244 2 performed performed JJ cord-267644-guzn0peq 244 3 statistical statistical JJ cord-267644-guzn0peq 244 4 analysis analysis NN cord-267644-guzn0peq 244 5 involved involve VBN cord-267644-guzn0peq 244 6 fitting fitting JJ cord-267644-guzn0peq 244 7 of of IN cord-267644-guzn0peq 244 8 linear linear JJ cord-267644-guzn0peq 244 9 statistical statistical JJ cord-267644-guzn0peq 244 10 models model NNS cord-267644-guzn0peq 244 11 with with IN cord-267644-guzn0peq 244 12 the the DT cord-267644-guzn0peq 244 13 datasets dataset NNS cord-267644-guzn0peq 244 14 of of IN cord-267644-guzn0peq 244 15 environmental environmental JJ cord-267644-guzn0peq 244 16 temperature temperature NN cord-267644-guzn0peq 244 17 ( ( -LRB- cord-267644-guzn0peq 244 18 or or CC cord-267644-guzn0peq 244 19 its -PRON- PRP$ cord-267644-guzn0peq 244 20 inverse inverse NN cord-267644-guzn0peq 244 21 ) ) -RRB- cord-267644-guzn0peq 244 22 and and CC cord-267644-guzn0peq 244 23 exponential exponential JJ cord-267644-guzn0peq 244 24 growth growth NN cord-267644-guzn0peq 244 25 rate rate NN cord-267644-guzn0peq 244 26 . . . cord-267644-guzn0peq 245 1 The the DT cord-267644-guzn0peq 245 2 two two CD cord-267644-guzn0peq 245 3 linear linear JJ cord-267644-guzn0peq 245 4 models model NNS cord-267644-guzn0peq 245 5 developed develop VBD cord-267644-guzn0peq 245 6 and and CC cord-267644-guzn0peq 245 7 used use VBN cord-267644-guzn0peq 245 8 for for IN cord-267644-guzn0peq 245 9 the the DT cord-267644-guzn0peq 245 10 statistical statistical JJ cord-267644-guzn0peq 245 11 analysis analysis NN cord-267644-guzn0peq 245 12 are be VBP cord-267644-guzn0peq 245 13 ( ( -LRB- cord-267644-guzn0peq 245 14 a a LS cord-267644-guzn0peq 245 15 ) ) -RRB- cord-267644-guzn0peq 245 16 λ(T λ(T NNP cord-267644-guzn0peq 245 17 ) ) -RRB- cord-267644-guzn0peq 245 18 . . . cord-267644-guzn0peq 246 1 The the DT cord-267644-guzn0peq 246 2 statistical statistical JJ cord-267644-guzn0peq 246 3 confidence confidence NN cord-267644-guzn0peq 246 4 of of IN cord-267644-guzn0peq 246 5 fitting fitting NN cord-267644-guzn0peq 246 6 was be VBD cord-267644-guzn0peq 246 7 evaluated evaluate VBN cord-267644-guzn0peq 246 8 using use VBG cord-267644-guzn0peq 246 9 the the DT cord-267644-guzn0peq 246 10 reduced reduce VBN cord-267644-guzn0peq 246 11 chi chi JJ cord-267644-guzn0peq 246 12 - - JJ cord-267644-guzn0peq 246 13 square square JJ cord-267644-guzn0peq 246 14 values value NNS cord-267644-guzn0peq 246 15 , , , cord-267644-guzn0peq 246 16 the the DT cord-267644-guzn0peq 246 17 p p NN cord-267644-guzn0peq 246 18 - - HYPH cord-267644-guzn0peq 246 19 value value NN cord-267644-guzn0peq 246 20 of of IN cord-267644-guzn0peq 246 21 extremes extreme NNS cord-267644-guzn0peq 246 22 , , , cord-267644-guzn0peq 246 23 and and CC cord-267644-guzn0peq 246 24 a a DT cord-267644-guzn0peq 246 25 testing testing NN cord-267644-guzn0peq 246 26 measure measure NN cord-267644-guzn0peq 246 27 that that WDT cord-267644-guzn0peq 246 28 combines combine VBZ cord-267644-guzn0peq 246 29 both both DT cord-267644-guzn0peq 246 30 of of IN cord-267644-guzn0peq 246 31 these these DT cord-267644-guzn0peq 246 32 values value NNS cord-267644-guzn0peq 246 33 ; ; : cord-267644-guzn0peq 246 34 also also RB cord-267644-guzn0peq 246 35 , , , cord-267644-guzn0peq 246 36 the the DT cord-267644-guzn0peq 246 37 Student Student NNP cord-267644-guzn0peq 246 38 's 's POS cord-267644-guzn0peq 246 39 t t NN cord-267644-guzn0peq 246 40 - - HYPH cord-267644-guzn0peq 246 41 test test NN cord-267644-guzn0peq 246 42 was be VBD cord-267644-guzn0peq 246 43 used use VBN cord-267644-guzn0peq 246 44 to to TO cord-267644-guzn0peq 246 45 compare compare VB cord-267644-guzn0peq 246 46 the the DT cord-267644-guzn0peq 246 47 derived derived JJ cord-267644-guzn0peq 246 48 slopes slope NNS cord-267644-guzn0peq 246 49 . . . cord-267644-guzn0peq 247 1 The the DT cord-267644-guzn0peq 247 2 sample sample NN cord-267644-guzn0peq 247 3 points point NNS cord-267644-guzn0peq 247 4 of of IN cord-267644-guzn0peq 247 5 temperature temperature NN cord-267644-guzn0peq 247 6 ( ( -LRB- cord-267644-guzn0peq 247 7 or or CC cord-267644-guzn0peq 247 8 inverse inverse JJ cord-267644-guzn0peq 247 9 temperature temperature NN cord-267644-guzn0peq 247 10 ) ) -RRB- cord-267644-guzn0peq 247 11 and and CC cord-267644-guzn0peq 247 12 exponential exponential JJ cord-267644-guzn0peq 247 13 growth growth NN cord-267644-guzn0peq 247 14 rate rate NN cord-267644-guzn0peq 247 15 were be VBD cord-267644-guzn0peq 247 16 also also RB cord-267644-guzn0peq 247 17 tested test VBN cord-267644-guzn0peq 247 18 for for IN cord-267644-guzn0peq 247 19 statistically statistically RB cord-267644-guzn0peq 247 20 significant significant JJ cord-267644-guzn0peq 247 21 concentrations concentration NNS cord-267644-guzn0peq 247 22 or or CC cord-267644-guzn0peq 247 23 rarefactions rarefaction NNS cord-267644-guzn0peq 247 24 , , , cord-267644-guzn0peq 247 25 that that RB cord-267644-guzn0peq 247 26 is is RB cord-267644-guzn0peq 247 27 , , , cord-267644-guzn0peq 247 28 for for IN cord-267644-guzn0peq 247 29 possible possible JJ cord-267644-guzn0peq 247 30 heterogeneities heterogeneity NNS cord-267644-guzn0peq 247 31 within within IN cord-267644-guzn0peq 247 32 the the DT cord-267644-guzn0peq 247 33 distribution distribution NN cord-267644-guzn0peq 247 34 of of IN cord-267644-guzn0peq 247 35 sample sample NN cord-267644-guzn0peq 247 36 points point NNS cord-267644-guzn0peq 247 37 that that WDT cord-267644-guzn0peq 247 38 could could MD cord-267644-guzn0peq 247 39 have have VB cord-267644-guzn0peq 247 40 significant significant JJ cord-267644-guzn0peq 247 41 role role NN cord-267644-guzn0peq 247 42 in in IN cord-267644-guzn0peq 247 43 the the DT cord-267644-guzn0peq 247 44 results result NNS cord-267644-guzn0peq 247 45 . . . cord-267644-guzn0peq 248 1 The the DT cord-267644-guzn0peq 248 2 statistical statistical JJ cord-267644-guzn0peq 248 3 analysis analysis NN cord-267644-guzn0peq 248 4 of of IN cord-267644-guzn0peq 248 5 the the DT cord-267644-guzn0peq 248 6 homogenized homogenized JJ cord-267644-guzn0peq 248 7 temperature temperature NN cord-267644-guzn0peq 248 8 - - HYPH cord-267644-guzn0peq 248 9 rate rate NN cord-267644-guzn0peq 248 10 data datum NNS cord-267644-guzn0peq 248 11 points point NNS cord-267644-guzn0peq 248 12 concluded conclude VBD cord-267644-guzn0peq 248 13 that that IN cord-267644-guzn0peq 248 14 the the DT cord-267644-guzn0peq 248 15 negative negative JJ cord-267644-guzn0peq 248 16 correlation correlation NN cord-267644-guzn0peq 248 17 between between IN cord-267644-guzn0peq 248 18 temperature temperature NN cord-267644-guzn0peq 248 19 and and CC cord-267644-guzn0peq 248 20 exponential exponential JJ cord-267644-guzn0peq 248 21 rate rate NN cord-267644-guzn0peq 248 22 is be VBZ cord-267644-guzn0peq 248 23 stable stable JJ cord-267644-guzn0peq 248 24 , , , cord-267644-guzn0peq 248 25 having have VBG cord-267644-guzn0peq 248 26 no no DT cord-267644-guzn0peq 248 27 statistically statistically RB cord-267644-guzn0peq 248 28 significant significant JJ cord-267644-guzn0peq 248 29 variability variability NN cord-267644-guzn0peq 248 30 due due IN cord-267644-guzn0peq 248 31 to to IN cord-267644-guzn0peq 248 32 concentrations concentration NNS cord-267644-guzn0peq 248 33 or or CC cord-267644-guzn0peq 248 34 rarefactions rarefaction NNS cord-267644-guzn0peq 248 35 , , , cord-267644-guzn0peq 248 36 and and CC cord-267644-guzn0peq 248 37 it -PRON- PRP cord-267644-guzn0peq 248 38 is be VBZ cord-267644-guzn0peq 248 39 characterized characterize VBN cord-267644-guzn0peq 248 40 by by IN cord-267644-guzn0peq 248 41 a a DT cord-267644-guzn0peq 248 42 high high JJ cord-267644-guzn0peq 248 43 statistical statistical JJ cord-267644-guzn0peq 248 44 confidence confidence NN cord-267644-guzn0peq 248 45 . . . cord-267644-guzn0peq 249 1 We -PRON- PRP cord-267644-guzn0peq 249 2 also also RB cord-267644-guzn0peq 249 3 performed perform VBD cord-267644-guzn0peq 249 4 a a DT cord-267644-guzn0peq 249 5 Student Student NNP cord-267644-guzn0peq 249 6 's 's POS cord-267644-guzn0peq 249 7 t t NN cord-267644-guzn0peq 249 8 - - HYPH cord-267644-guzn0peq 249 9 test test NN cord-267644-guzn0peq 249 10 and and CC cord-267644-guzn0peq 249 11 ensured ensure VBD cord-267644-guzn0peq 249 12 that that IN cord-267644-guzn0peq 249 13 the the DT cord-267644-guzn0peq 249 14 difference difference NN cord-267644-guzn0peq 249 15 between between IN cord-267644-guzn0peq 249 16 the the DT cord-267644-guzn0peq 249 17 sample sample NN cord-267644-guzn0peq 249 18 means mean NNS cord-267644-guzn0peq 249 19 of of IN cord-267644-guzn0peq 249 20 US US NNP cord-267644-guzn0peq 249 21 and and CC cord-267644-guzn0peq 249 22 Italian italian JJ cord-267644-guzn0peq 249 23 regions region NNS cord-267644-guzn0peq 249 24 is be VBZ cord-267644-guzn0peq 249 25 not not RB cord-267644-guzn0peq 249 26 statistically statistically RB cord-267644-guzn0peq 249 27 significant significant JJ cord-267644-guzn0peq 249 28 . . . cord-267644-guzn0peq 250 1 A a DT cord-267644-guzn0peq 250 2 universality universality NN cord-267644-guzn0peq 250 3 is be VBZ cord-267644-guzn0peq 250 4 likely likely RB cord-267644-guzn0peq 250 5 characterizing characterize VBG cord-267644-guzn0peq 250 6 the the DT cord-267644-guzn0peq 250 7 slope slope NN cord-267644-guzn0peq 250 8 of of IN cord-267644-guzn0peq 250 9 the the DT cord-267644-guzn0peq 250 10 temperature temperature NN cord-267644-guzn0peq 250 11 - - HYPH cord-267644-guzn0peq 250 12 rate rate NN cord-267644-guzn0peq 250 13 relationship relationship NN cord-267644-guzn0peq 250 14 . . . cord-267644-guzn0peq 251 1 This this DT cord-267644-guzn0peq 251 2 verifies verify VBZ cord-267644-guzn0peq 251 3 the the DT cord-267644-guzn0peq 251 4 modeling modeling NN cord-267644-guzn0peq 251 5 developed develop VBN cord-267644-guzn0peq 251 6 and and CC cord-267644-guzn0peq 251 7 used use VBN cord-267644-guzn0peq 251 8 by by IN cord-267644-guzn0peq 251 9 this this DT cord-267644-guzn0peq 251 10 analysis analysis NN cord-267644-guzn0peq 251 11 , , , cord-267644-guzn0peq 251 12 where where WRB cord-267644-guzn0peq 251 13 the the DT cord-267644-guzn0peq 251 14 exponential exponential JJ cord-267644-guzn0peq 251 15 rate rate NN cord-267644-guzn0peq 251 16 λ λ NN cord-267644-guzn0peq 251 17 , , , cord-267644-guzn0peq 251 18 or or CC cord-267644-guzn0peq 251 19 the the DT cord-267644-guzn0peq 251 20 reproduction reproduction NN cord-267644-guzn0peq 251 21 number number NN cord-267644-guzn0peq 251 22 R r NN cord-267644-guzn0peq 251 23 0 0 CD cord-267644-guzn0peq 251 24 , , , cord-267644-guzn0peq 251 25 are be VBP cord-267644-guzn0peq 251 26 subject subject JJ cord-267644-guzn0peq 251 27 to to IN cord-267644-guzn0peq 251 28 a a DT cord-267644-guzn0peq 251 29 component component NN cord-267644-guzn0peq 251 30 influenced influence VBN cord-267644-guzn0peq 251 31 by by IN cord-267644-guzn0peq 251 32 the the DT cord-267644-guzn0peq 251 33 culture culture NN cord-267644-guzn0peq 251 34 in in IN cord-267644-guzn0peq 251 35 social social JJ cord-267644-guzn0peq 251 36 activities activity NNS cord-267644-guzn0peq 251 37 ( ( -LRB- cord-267644-guzn0peq 251 38 intercept intercept VB cord-267644-guzn0peq 251 39 λ λ NN cord-267644-guzn0peq 251 40 0 0 CD cord-267644-guzn0peq 251 41 ) ) -RRB- cord-267644-guzn0peq 251 42 and and CC cord-267644-guzn0peq 251 43 a a DT cord-267644-guzn0peq 251 44 component component NN cord-267644-guzn0peq 251 45 influenced influence VBN cord-267644-guzn0peq 251 46 by by IN cord-267644-guzn0peq 251 47 the the DT cord-267644-guzn0peq 251 48 temperature temperature NN cord-267644-guzn0peq 251 49 ( ( -LRB- cord-267644-guzn0peq 251 50 slope slope NN cord-267644-guzn0peq 251 51 p p NN cord-267644-guzn0peq 251 52 2 2 CD cord-267644-guzn0peq 251 53 ) ) -RRB- cord-267644-guzn0peq 251 54 . . . cord-267644-guzn0peq 252 1 In in IN cord-267644-guzn0peq 252 2 this this DT cord-267644-guzn0peq 252 3 way way NN cord-267644-guzn0peq 252 4 , , , cord-267644-guzn0peq 252 5 the the DT cord-267644-guzn0peq 252 6 slope slope NN cord-267644-guzn0peq 252 7 may may MD cord-267644-guzn0peq 252 8 indicate indicate VB cord-267644-guzn0peq 252 9 to to IN cord-267644-guzn0peq 252 10 a a DT cord-267644-guzn0peq 252 11 universal universal JJ cord-267644-guzn0peq 252 12 quantity quantity NN cord-267644-guzn0peq 252 13 involved involve VBN cord-267644-guzn0peq 252 14 , , , cord-267644-guzn0peq 252 15 such such JJ cord-267644-guzn0peq 252 16 as as IN cord-267644-guzn0peq 252 17 , , , cord-267644-guzn0peq 252 18 the the DT cord-267644-guzn0peq 252 19 ( ( -LRB- cord-267644-guzn0peq 252 20 negative negative JJ cord-267644-guzn0peq 252 21 ) ) -RRB- cord-267644-guzn0peq 252 22 activation activation NN cord-267644-guzn0peq 252 23 energy energy NN cord-267644-guzn0peq 252 24 . . . cord-267644-guzn0peq 253 1 Having have VBG cord-267644-guzn0peq 253 2 shown show VBN cord-267644-guzn0peq 253 3 that that IN cord-267644-guzn0peq 253 4 the the DT cord-267644-guzn0peq 253 5 derived derived JJ cord-267644-guzn0peq 253 6 slopes slope NNS cord-267644-guzn0peq 253 7 for for IN cord-267644-guzn0peq 253 8 US US NNP cord-267644-guzn0peq 253 9 and and CC cord-267644-guzn0peq 253 10 Italian italian JJ cord-267644-guzn0peq 253 11 regions region NNS cord-267644-guzn0peq 253 12 are be VBP cord-267644-guzn0peq 253 13 characterized characterize VBN cord-267644-guzn0peq 253 14 by by IN cord-267644-guzn0peq 253 15 no no DT cord-267644-guzn0peq 253 16 statistically statistically RB cord-267644-guzn0peq 253 17 confident confident JJ cord-267644-guzn0peq 253 18 difference difference NN cord-267644-guzn0peq 253 19 , , , cord-267644-guzn0peq 253 20 we -PRON- PRP cord-267644-guzn0peq 253 21 improved improve VBD cord-267644-guzn0peq 253 22 the the DT cord-267644-guzn0peq 253 23 statistics statistic NNS cord-267644-guzn0peq 253 24 of of IN cord-267644-guzn0peq 253 25 the the DT cord-267644-guzn0peq 253 26 estimated estimate VBN cord-267644-guzn0peq 253 27 fitting fitting JJ cord-267644-guzn0peq 253 28 parameters parameter NNS cord-267644-guzn0peq 253 29 by by IN cord-267644-guzn0peq 253 30 combined combine VBN cord-267644-guzn0peq 253 31 the the DT cord-267644-guzn0peq 253 32 sample sample NN cord-267644-guzn0peq 253 33 points point NNS cord-267644-guzn0peq 253 34 of of IN cord-267644-guzn0peq 253 35 US US NNP cord-267644-guzn0peq 253 36 and and CC cord-267644-guzn0peq 253 37 Italian italian JJ cord-267644-guzn0peq 253 38 regions region NNS cord-267644-guzn0peq 253 39 . . . cord-267644-guzn0peq 254 1 From from IN cord-267644-guzn0peq 254 2 the the DT cord-267644-guzn0peq 254 3 derived derive VBN cord-267644-guzn0peq 254 4 relationship relationship NN cord-267644-guzn0peq 254 5 , , , cord-267644-guzn0peq 254 6 among among IN cord-267644-guzn0peq 254 7 others other NNS cord-267644-guzn0peq 254 8 , , , cord-267644-guzn0peq 254 9 we -PRON- PRP cord-267644-guzn0peq 254 10 were be VBD cord-267644-guzn0peq 254 11 able able JJ cord-267644-guzn0peq 254 12 to to TO cord-267644-guzn0peq 254 13 estimate estimate VB cord-267644-guzn0peq 254 14 the the DT cord-267644-guzn0peq 254 15 values value NNS cord-267644-guzn0peq 254 16 of of IN cord-267644-guzn0peq 254 17 the the DT cord-267644-guzn0peq 254 18 ( ( -LRB- cord-267644-guzn0peq 254 19 negative negative JJ cord-267644-guzn0peq 254 20 ) ) -RRB- cord-267644-guzn0peq 254 21 activation activation NN cord-267644-guzn0peq 254 22 energy energy NN cord-267644-guzn0peq 254 23 E E NNP cord-267644-guzn0peq 254 24 a a NNP cord-267644-guzn0peq 254 25 , , , cord-267644-guzn0peq 254 26 as as RB cord-267644-guzn0peq 254 27 well well RB cord-267644-guzn0peq 254 28 as as IN cord-267644-guzn0peq 254 29 the the DT cord-267644-guzn0peq 254 30 reproduction reproduction NN cord-267644-guzn0peq 254 31 number number NN cord-267644-guzn0peq 254 32 R r NN cord-267644-guzn0peq 254 33 0 0 CD cord-267644-guzn0peq 254 34 at at IN cord-267644-guzn0peq 254 35 normal normal JJ cord-267644-guzn0peq 254 36 conditions condition NNS cord-267644-guzn0peq 254 37 and and CC cord-267644-guzn0peq 254 38 how how WRB cord-267644-guzn0peq 254 39 this this DT cord-267644-guzn0peq 254 40 depends depend VBZ cord-267644-guzn0peq 254 41 on on IN cord-267644-guzn0peq 254 42 temperature temperature NN cord-267644-guzn0peq 254 43 . . . cord-267644-guzn0peq 255 1 Therefore therefore RB cord-267644-guzn0peq 255 2 , , , cord-267644-guzn0peq 255 3 the the DT cord-267644-guzn0peq 255 4 results result NNS cord-267644-guzn0peq 255 5 clearly clearly RB cord-267644-guzn0peq 255 6 showed show VBD cord-267644-guzn0peq 255 7 that that IN cord-267644-guzn0peq 255 8 there there EX cord-267644-guzn0peq 255 9 is be VBZ cord-267644-guzn0peq 255 10 indeed indeed RB cord-267644-guzn0peq 255 11 statistically statistically RB cord-267644-guzn0peq 255 12 significant significant JJ cord-267644-guzn0peq 255 13 negative negative JJ cord-267644-guzn0peq 255 14 correlation correlation NN cord-267644-guzn0peq 255 15 of of IN cord-267644-guzn0peq 255 16 temperature temperature NN cord-267644-guzn0peq 255 17 on on IN cord-267644-guzn0peq 255 18 the the DT cord-267644-guzn0peq 255 19 exponential exponential JJ cord-267644-guzn0peq 255 20 growth growth NN cord-267644-guzn0peq 255 21 rate rate NN cord-267644-guzn0peq 255 22 of of IN cord-267644-guzn0peq 255 23 the the DT cord-267644-guzn0peq 255 24 cases case NNS cord-267644-guzn0peq 255 25 infected infect VBN cord-267644-guzn0peq 255 26 by by IN cord-267644-guzn0peq 255 27 COVID-19 COVID-19 NNP cord-267644-guzn0peq 255 28 . . . cord-267644-guzn0peq 256 1 Fig Fig NNP cord-267644-guzn0peq 256 2 9 9 CD cord-267644-guzn0peq 256 3 shows show VBZ cord-267644-guzn0peq 256 4 the the DT cord-267644-guzn0peq 256 5 anti anti JJ cord-267644-guzn0peq 256 6 - - JJ cord-267644-guzn0peq 256 7 correlation correlation NN cord-267644-guzn0peq 256 8 between between IN cord-267644-guzn0peq 256 9 the the DT cord-267644-guzn0peq 256 10 mapped map VBN cord-267644-guzn0peq 256 11 exponential exponential JJ cord-267644-guzn0peq 256 12 rates rate NNS cord-267644-guzn0peq 256 13 and and CC cord-267644-guzn0peq 256 14 average average JJ cord-267644-guzn0peq 256 15 environmental environmental JJ cord-267644-guzn0peq 256 16 temperature temperature NN cord-267644-guzn0peq 256 17 of of IN cord-267644-guzn0peq 256 18 the the DT cord-267644-guzn0peq 256 19 US US NNP cord-267644-guzn0peq 256 20 regions region NNS cord-267644-guzn0peq 256 21 examined examine VBN cord-267644-guzn0peq 256 22 by by IN cord-267644-guzn0peq 256 23 this this DT cord-267644-guzn0peq 256 24 analysis analysis NN cord-267644-guzn0peq 256 25 , , , cord-267644-guzn0peq 256 26 which which WDT cord-267644-guzn0peq 256 27 they -PRON- PRP cord-267644-guzn0peq 256 28 are be VBP cord-267644-guzn0peq 256 29 characterized characterize VBN cord-267644-guzn0peq 256 30 by by IN cord-267644-guzn0peq 256 31 a a DT cord-267644-guzn0peq 256 32 readable readable JJ cord-267644-guzn0peq 256 33 exponential exponential JJ cord-267644-guzn0peq 256 34 growth growth NN cord-267644-guzn0peq 256 35 phase phase NN cord-267644-guzn0peq 256 36 in in IN cord-267644-guzn0peq 256 37 their -PRON- PRP$ cord-267644-guzn0peq 256 38 evolution evolution NN cord-267644-guzn0peq 256 39 spread spread NN cord-267644-guzn0peq 256 40 curve curve NN cord-267644-guzn0peq 256 41 . . . cord-267644-guzn0peq 257 1 The the DT cord-267644-guzn0peq 257 2 plot plot NN cord-267644-guzn0peq 257 3 shows show VBZ cord-267644-guzn0peq 257 4 also also RB cord-267644-guzn0peq 257 5 the the DT cord-267644-guzn0peq 257 6 May May NNP cord-267644-guzn0peq 257 7 - - HYPH cord-267644-guzn0peq 257 8 June June NNP cord-267644-guzn0peq 257 9 daily daily RB cord-267644-guzn0peq 257 10 , , , cord-267644-guzn0peq 257 11 nightly nightly RB cord-267644-guzn0peq 257 12 , , , cord-267644-guzn0peq 257 13 and and CC cord-267644-guzn0peq 257 14 24h 24h NNS cord-267644-guzn0peq 257 15 - - HYPH cord-267644-guzn0peq 257 16 averaged average VBN cord-267644-guzn0peq 257 17 environmental environmental JJ cord-267644-guzn0peq 257 18 temperatures temperature NNS cord-267644-guzn0peq 257 19 in in IN cord-267644-guzn0peq 257 20 San San NNP cord-267644-guzn0peq 257 21 Antonio Antonio NNP cord-267644-guzn0peq 257 22 , , , cord-267644-guzn0peq 257 23 Texas Texas NNP cord-267644-guzn0peq 257 24 , , , cord-267644-guzn0peq 257 25 averaged average VBD cord-267644-guzn0peq 257 26 over over IN cord-267644-guzn0peq 257 27 the the DT cord-267644-guzn0peq 257 28 last last JJ cord-267644-guzn0peq 257 29 three three CD cord-267644-guzn0peq 257 30 years year NNS cord-267644-guzn0peq 257 31 . . . cord-267644-guzn0peq 258 1 The the DT cord-267644-guzn0peq 258 2 daily daily JJ cord-267644-guzn0peq 258 3 average average JJ cord-267644-guzn0peq 258 4 temperatures temperature NNS cord-267644-guzn0peq 258 5 will will MD cord-267644-guzn0peq 258 6 be be VB cord-267644-guzn0peq 258 7 clearly clearly RB cord-267644-guzn0peq 258 8 above above IN cord-267644-guzn0peq 258 9 the the DT cord-267644-guzn0peq 258 10 estimated estimate VBN cord-267644-guzn0peq 258 11 T t NN cord-267644-guzn0peq 258 12 C c NN cord-267644-guzn0peq 258 13 threshold threshold NN cord-267644-guzn0peq 258 14 in in IN cord-267644-guzn0peq 258 15 the the DT cord-267644-guzn0peq 258 16 second second JJ cord-267644-guzn0peq 258 17 half half NN cord-267644-guzn0peq 258 18 of of IN cord-267644-guzn0peq 258 19 May May NNP cord-267644-guzn0peq 258 20 ; ; : cord-267644-guzn0peq 258 21 thus thus RB cord-267644-guzn0peq 258 22 , , , cord-267644-guzn0peq 258 23 the the DT cord-267644-guzn0peq 258 24 plot plot NN cord-267644-guzn0peq 258 25 suggests suggest VBZ cord-267644-guzn0peq 258 26 a a DT cord-267644-guzn0peq 258 27 possible possible JJ cord-267644-guzn0peq 258 28 date date NN cord-267644-guzn0peq 258 29 for for IN cord-267644-guzn0peq 258 30 loosening loosen VBG cord-267644-guzn0peq 258 31 the the DT cord-267644-guzn0peq 258 32 strict strict JJ cord-267644-guzn0peq 258 33 measures measure NNS cord-267644-guzn0peq 258 34 in in IN cord-267644-guzn0peq 258 35 San San NNP cord-267644-guzn0peq 258 36 Antonio Antonio NNP cord-267644-guzn0peq 258 37 , , , cord-267644-guzn0peq 258 38 that that RB cord-267644-guzn0peq 258 39 is is RB cord-267644-guzn0peq 258 40 , , , cord-267644-guzn0peq 258 41 May May NNP cord-267644-guzn0peq 258 42 24 24 CD cord-267644-guzn0peq 258 43 . . . cord-267644-guzn0peq 259 1 https://doi.org/10.1371/journal.pone.0233875.g010 https://doi.org/10.1371/journal.pone.0233875.g010 UH cord-267644-guzn0peq 260 1 Given give VBN cord-267644-guzn0peq 260 2 the the DT cord-267644-guzn0peq 260 3 negative negative JJ cord-267644-guzn0peq 260 4 correlation correlation NN cord-267644-guzn0peq 260 5 of of IN cord-267644-guzn0peq 260 6 the the DT cord-267644-guzn0peq 260 7 environmental environmental JJ cord-267644-guzn0peq 260 8 temperature temperature NN cord-267644-guzn0peq 260 9 with with IN cord-267644-guzn0peq 260 10 the the DT cord-267644-guzn0peq 260 11 exponential exponential JJ cord-267644-guzn0peq 260 12 growth growth NN cord-267644-guzn0peq 260 13 rate rate NN cord-267644-guzn0peq 260 14 , , , cord-267644-guzn0peq 260 15 it -PRON- PRP cord-267644-guzn0peq 260 16 was be VBD cord-267644-guzn0peq 260 17 reasonable reasonable JJ cord-267644-guzn0peq 260 18 to to TO cord-267644-guzn0peq 260 19 ask ask VB cord-267644-guzn0peq 260 20 for for IN cord-267644-guzn0peq 260 21 the the DT cord-267644-guzn0peq 260 22 critical critical JJ cord-267644-guzn0peq 260 23 temperature temperature NN cord-267644-guzn0peq 260 24 that that WDT cord-267644-guzn0peq 260 25 eliminates eliminate VBZ cord-267644-guzn0peq 260 26 the the DT cord-267644-guzn0peq 260 27 exponential exponential JJ cord-267644-guzn0peq 260 28 rate rate NN cord-267644-guzn0peq 260 29 , , , cord-267644-guzn0peq 260 30 and and CC cord-267644-guzn0peq 260 31 thus thus RB cord-267644-guzn0peq 260 32 the the DT cord-267644-guzn0peq 260 33 number number NN cord-267644-guzn0peq 260 34 of of IN cord-267644-guzn0peq 260 35 daily daily JJ cord-267644-guzn0peq 260 36 new new JJ cord-267644-guzn0peq 260 37 cases case NNS cord-267644-guzn0peq 260 38 in in IN cord-267644-guzn0peq 260 39 infected infected JJ cord-267644-guzn0peq 260 40 regions region NNS cord-267644-guzn0peq 260 41 . . . cord-267644-guzn0peq 261 1 This this DT cord-267644-guzn0peq 261 2 was be VBD cord-267644-guzn0peq 261 3 found find VBN cord-267644-guzn0peq 261 4 to to TO cord-267644-guzn0peq 261 5 be be VB cord-267644-guzn0peq 261 6 T T NNP cord-267644-guzn0peq 261 7 C~8 C~8 NNP cord-267644-guzn0peq 261 8 6.1 6.1 CD cord-267644-guzn0peq 261 9 ± ± NN cord-267644-guzn0peq 261 10 4.3 4.3 CD cord-267644-guzn0peq 261 11 F F NNP cord-267644-guzn0peq 261 12 0 0 CD cord-267644-guzn0peq 261 13 for for IN cord-267644-guzn0peq 261 14 US US NNP cord-267644-guzn0peq 261 15 regions region NNS cord-267644-guzn0peq 261 16 . . . cord-267644-guzn0peq 262 1 It -PRON- PRP cord-267644-guzn0peq 262 2 is be VBZ cord-267644-guzn0peq 262 3 straightforward straightforward JJ cord-267644-guzn0peq 262 4 to to TO cord-267644-guzn0peq 262 5 ask ask VB cord-267644-guzn0peq 262 6 when when WRB cord-267644-guzn0peq 262 7 the the DT cord-267644-guzn0peq 262 8 environmental environmental JJ cord-267644-guzn0peq 262 9 temperature temperature NN cord-267644-guzn0peq 262 10 will will MD cord-267644-guzn0peq 262 11 climb climb VB cord-267644-guzn0peq 262 12 above above IN cord-267644-guzn0peq 262 13 this this DT cord-267644-guzn0peq 262 14 critical critical JJ cord-267644-guzn0peq 262 15 value value NN cord-267644-guzn0peq 262 16 . . . cord-267644-guzn0peq 263 1 As as IN cord-267644-guzn0peq 263 2 an an DT cord-267644-guzn0peq 263 3 example example NN cord-267644-guzn0peq 263 4 , , , cord-267644-guzn0peq 263 5 Fig Fig NNP cord-267644-guzn0peq 263 6 10 10 CD cord-267644-guzn0peq 263 7 plots plot NNS cord-267644-guzn0peq 263 8 the the DT cord-267644-guzn0peq 263 9 daily daily JJ cord-267644-guzn0peq 263 10 average average JJ cord-267644-guzn0peq 263 11 temperatures temperature NNS cord-267644-guzn0peq 263 12 in in IN cord-267644-guzn0peq 263 13 San San NNP cord-267644-guzn0peq 263 14 Antonio Antonio NNP cord-267644-guzn0peq 263 15 , , , cord-267644-guzn0peq 263 16 Texas Texas NNP cord-267644-guzn0peq 263 17 , , , cord-267644-guzn0peq 263 18 shown show VBN cord-267644-guzn0peq 263 19 that that IN cord-267644-guzn0peq 263 20 it -PRON- PRP cord-267644-guzn0peq 263 21 will will MD cord-267644-guzn0peq 263 22 be be VB cord-267644-guzn0peq 263 23 clearly clearly RB cord-267644-guzn0peq 263 24 above above IN cord-267644-guzn0peq 263 25 the the DT cord-267644-guzn0peq 263 26 estimated estimate VBN cord-267644-guzn0peq 263 27 T t NN cord-267644-guzn0peq 263 28 C c NN cord-267644-guzn0peq 263 29 threshold threshold NN cord-267644-guzn0peq 263 30 by by IN cord-267644-guzn0peq 263 31 the the DT cord-267644-guzn0peq 263 32 end end NN cord-267644-guzn0peq 263 33 of of IN cord-267644-guzn0peq 264 1 May. May NNP cord-267644-guzn0peq 264 2 The the DT cord-267644-guzn0peq 264 3 resulted resulted JJ cord-267644-guzn0peq 264 4 high high JJ cord-267644-guzn0peq 264 5 statistical statistical JJ cord-267644-guzn0peq 264 6 confidence confidence NN cord-267644-guzn0peq 264 7 of of IN cord-267644-guzn0peq 264 8 the the DT cord-267644-guzn0peq 264 9 negative negative JJ cord-267644-guzn0peq 264 10 correlation correlation NN cord-267644-guzn0peq 264 11 of of IN cord-267644-guzn0peq 264 12 the the DT cord-267644-guzn0peq 264 13 environmental environmental JJ cord-267644-guzn0peq 264 14 temperature temperature NN cord-267644-guzn0peq 264 15 on on IN cord-267644-guzn0peq 264 16 the the DT cord-267644-guzn0peq 264 17 exponential exponential JJ cord-267644-guzn0peq 264 18 growth growth NN cord-267644-guzn0peq 264 19 rate rate NN cord-267644-guzn0peq 264 20 of of IN cord-267644-guzn0peq 264 21 the the DT cord-267644-guzn0peq 264 22 cases case NNS cord-267644-guzn0peq 264 23 infected infect VBN cord-267644-guzn0peq 264 24 by by IN cord-267644-guzn0peq 264 25 COVID-19 COVID-19 NNP cord-267644-guzn0peq 264 26 is be VBZ cord-267644-guzn0peq 264 27 certainly certainly RB cord-267644-guzn0peq 264 28 encouraging encourage VBG cord-267644-guzn0peq 264 29 for for IN cord-267644-guzn0peq 264 30 loosening loosen VBG cord-267644-guzn0peq 264 31 super super JJ cord-267644-guzn0peq 264 32 - - JJ cord-267644-guzn0peq 264 33 strict strict JJ cord-267644-guzn0peq 264 34 social social JJ cord-267644-guzn0peq 264 35 - - HYPH cord-267644-guzn0peq 264 36 distancing distance VBG cord-267644-guzn0peq 264 37 measures measure NNS cord-267644-guzn0peq 264 38 , , , cord-267644-guzn0peq 264 39 at at IN cord-267644-guzn0peq 264 40 least least JJS cord-267644-guzn0peq 264 41 , , , cord-267644-guzn0peq 264 42 during during IN cord-267644-guzn0peq 264 43 the the DT cord-267644-guzn0peq 264 44 summery summery JJ cord-267644-guzn0peq 264 45 high high JJ cord-267644-guzn0peq 264 46 temperatures temperature NNS cord-267644-guzn0peq 264 47 . . . cord-267644-guzn0peq 265 1 However however RB cord-267644-guzn0peq 265 2 , , , cord-267644-guzn0peq 265 3 we -PRON- PRP cord-267644-guzn0peq 265 4 are be VBP cord-267644-guzn0peq 265 5 , , , cord-267644-guzn0peq 265 6 by by IN cord-267644-guzn0peq 265 7 no no DT cord-267644-guzn0peq 265 8 - - HYPH cord-267644-guzn0peq 265 9 means mean NNS cord-267644-guzn0peq 265 10 , , , cord-267644-guzn0peq 265 11 recommending recommend VBG cord-267644-guzn0peq 265 12 a a DT cord-267644-guzn0peq 265 13 return return NN cord-267644-guzn0peq 265 14 - - HYPH cord-267644-guzn0peq 265 15 to to IN cord-267644-guzn0peq 265 16 - - HYPH cord-267644-guzn0peq 265 17 work work NN cord-267644-guzn0peq 265 18 date date NN cord-267644-guzn0peq 265 19 based base VBN cord-267644-guzn0peq 265 20 only only RB cord-267644-guzn0peq 265 21 on on IN cord-267644-guzn0peq 265 22 this this DT cord-267644-guzn0peq 265 23 study study NN cord-267644-guzn0peq 265 24 . . . cord-267644-guzn0peq 266 1 But but CC cord-267644-guzn0peq 266 2 we -PRON- PRP cord-267644-guzn0peq 266 3 do do VBP cord-267644-guzn0peq 266 4 think think VB cord-267644-guzn0peq 266 5 that that IN cord-267644-guzn0peq 266 6 this this DT cord-267644-guzn0peq 266 7 should should MD cord-267644-guzn0peq 266 8 be be VB cord-267644-guzn0peq 266 9 part part NN cord-267644-guzn0peq 266 10 of of IN cord-267644-guzn0peq 266 11 the the DT cord-267644-guzn0peq 266 12 decision decision NN cord-267644-guzn0peq 266 13 , , , cord-267644-guzn0peq 266 14 as as RB cord-267644-guzn0peq 266 15 well well RB cord-267644-guzn0peq 266 16 as as IN cord-267644-guzn0peq 266 17 an an DT cord-267644-guzn0peq 266 18 inspiration inspiration NN cord-267644-guzn0peq 266 19 for for IN cord-267644-guzn0peq 266 20 repeating repeat VBG cord-267644-guzn0peq 266 21 the the DT cord-267644-guzn0peq 266 22 same same JJ cord-267644-guzn0peq 266 23 analysis analysis NN cord-267644-guzn0peq 266 24 in in IN cord-267644-guzn0peq 266 25 other other JJ cord-267644-guzn0peq 266 26 heavily heavily RB cord-267644-guzn0peq 266 27 infected infect VBN cord-267644-guzn0peq 266 28 regions region NNS cord-267644-guzn0peq 266 29 . . . cord-267644-guzn0peq 267 1 The the DT cord-267644-guzn0peq 267 2 steps step NNS cord-267644-guzn0peq 267 3 of of IN cord-267644-guzn0peq 267 4 these these DT cord-267644-guzn0peq 267 5 analyses analysis NNS cord-267644-guzn0peq 267 6 may may MD cord-267644-guzn0peq 267 7 be be VB cord-267644-guzn0peq 267 8 followed follow VBN cord-267644-guzn0peq 267 9 as as IN cord-267644-guzn0peq 267 10 : : : cord-267644-guzn0peq 268 1 i. i. NNP cord-267644-guzn0peq 268 2 Identify identify VB cord-267644-guzn0peq 268 3 different different JJ cord-267644-guzn0peq 268 4 outbreaks outbreak NNS cord-267644-guzn0peq 268 5 in in IN cord-267644-guzn0peq 268 6 regions region NNS cord-267644-guzn0peq 268 7 with with IN cord-267644-guzn0peq 268 8 the the DT cord-267644-guzn0peq 268 9 same same JJ cord-267644-guzn0peq 268 10 culture culture NN cord-267644-guzn0peq 268 11 in in IN cord-267644-guzn0peq 268 12 social social JJ cord-267644-guzn0peq 268 13 activities activity NNS cord-267644-guzn0peq 268 14 and and CC cord-267644-guzn0peq 268 15 different different JJ cord-267644-guzn0peq 268 16 environmental environmental JJ cord-267644-guzn0peq 268 17 temperature temperature NN cord-267644-guzn0peq 268 18 ; ; : cord-267644-guzn0peq 268 19 ii ii NNP cord-267644-guzn0peq 268 20 . . . cord-267644-guzn0peq 269 1 Estimate estimate VB cord-267644-guzn0peq 269 2 the the DT cord-267644-guzn0peq 269 3 exponential exponential JJ cord-267644-guzn0peq 269 4 growth growth NN cord-267644-guzn0peq 269 5 rates rate NNS cord-267644-guzn0peq 269 6 for for IN cord-267644-guzn0peq 269 7 these these DT cord-267644-guzn0peq 269 8 regions region NNS cord-267644-guzn0peq 269 9 from from IN cord-267644-guzn0peq 269 10 the the DT cord-267644-guzn0peq 269 11 time time NN cord-267644-guzn0peq 269 12 series series NN cord-267644-guzn0peq 269 13 of of IN cord-267644-guzn0peq 269 14 infected infected JJ cord-267644-guzn0peq 269 15 cases case NNS cord-267644-guzn0peq 269 16 ; ; : cord-267644-guzn0peq 269 17 iii iii LS cord-267644-guzn0peq 269 18 . . . cord-267644-guzn0peq 270 1 Plot plot VB cord-267644-guzn0peq 270 2 the the DT cord-267644-guzn0peq 270 3 derived derive VBN cord-267644-guzn0peq 270 4 rates rate NNS cord-267644-guzn0peq 270 5 against against IN cord-267644-guzn0peq 270 6 the the DT cord-267644-guzn0peq 270 7 environmental environmental JJ cord-267644-guzn0peq 270 8 temperature temperature NN cord-267644-guzn0peq 270 9 averaged average VBD cord-267644-guzn0peq 270 10 for for IN cord-267644-guzn0peq 270 11 these these DT cord-267644-guzn0peq 270 12 regions region NNS cord-267644-guzn0peq 270 13 , , , cord-267644-guzn0peq 270 14 and and CC cord-267644-guzn0peq 270 15 repeat repeat VB cord-267644-guzn0peq 270 16 the the DT cord-267644-guzn0peq 270 17 analysis analysis NN cord-267644-guzn0peq 270 18 of of IN cord-267644-guzn0peq 270 19 this this DT cord-267644-guzn0peq 270 20 study study NN cord-267644-guzn0peq 270 21 to to TO cord-267644-guzn0peq 270 22 determine determine VB cord-267644-guzn0peq 270 23 the the DT cord-267644-guzn0peq 270 24 temperature temperature NN cord-267644-guzn0peq 270 25 - - HYPH cord-267644-guzn0peq 270 26 rate rate NN cord-267644-guzn0peq 270 27 relationship relationship NN cord-267644-guzn0peq 270 28 and and CC cord-267644-guzn0peq 270 29 its -PRON- PRP$ cord-267644-guzn0peq 270 30 statistical statistical JJ cord-267644-guzn0peq 270 31 confidence confidence NN cord-267644-guzn0peq 270 32 . . . cord-267644-guzn0peq 271 1 Conceptualization conceptualization NN cord-267644-guzn0peq 271 2 : : : cord-267644-guzn0peq 271 3 George George NNP cord-267644-guzn0peq 271 4 Livadiotis Livadiotis NNP cord-267644-guzn0peq 271 5 . . . cord-267644-guzn0peq 272 1 Formal formal JJ cord-267644-guzn0peq 272 2 analysis analysis NN cord-267644-guzn0peq 272 3 : : : cord-267644-guzn0peq 272 4 George George NNP cord-267644-guzn0peq 272 5 Livadiotis Livadiotis NNP cord-267644-guzn0peq 272 6 . . . cord-267644-guzn0peq 273 1 Funding funding NN cord-267644-guzn0peq 273 2 acquisition acquisition NN cord-267644-guzn0peq 273 3 : : : cord-267644-guzn0peq 273 4 George George NNP cord-267644-guzn0peq 273 5 Livadiotis Livadiotis NNP cord-267644-guzn0peq 273 6 . . . cord-267644-guzn0peq 274 1 Investigation investigation NN cord-267644-guzn0peq 274 2 : : : cord-267644-guzn0peq 274 3 George George NNP cord-267644-guzn0peq 274 4 Livadiotis Livadiotis NNP cord-267644-guzn0peq 274 5 . . . cord-267644-guzn0peq 275 1 Methodology methodology NN cord-267644-guzn0peq 275 2 : : : cord-267644-guzn0peq 275 3 George George NNP cord-267644-guzn0peq 275 4 Livadiotis Livadiotis NNP cord-267644-guzn0peq 275 5 . . . cord-267644-guzn0peq 276 1 An an DT cord-267644-guzn0peq 276 2 accurate accurate JJ cord-267644-guzn0peq 276 3 two two CD cord-267644-guzn0peq 276 4 - - HYPH cord-267644-guzn0peq 276 5 phase phase NN cord-267644-guzn0peq 276 6 approximate approximate JJ cord-267644-guzn0peq 276 7 solution solution NN cord-267644-guzn0peq 276 8 to to IN cord-267644-guzn0peq 276 9 an an DT cord-267644-guzn0peq 276 10 acute acute JJ cord-267644-guzn0peq 276 11 viral viral JJ cord-267644-guzn0peq 276 12 infection infection NN cord-267644-guzn0peq 276 13 model model NN cord-267644-guzn0peq 276 14 Greece Greece NNP cord-267644-guzn0peq 276 15 shows show VBZ cord-267644-guzn0peq 276 16 how how WRB cord-267644-guzn0peq 276 17 to to TO cord-267644-guzn0peq 276 18 handle handle VB cord-267644-guzn0peq 276 19 the the DT cord-267644-guzn0peq 276 20 crisis crisis NN cord-267644-guzn0peq 276 21 How how WRB cord-267644-guzn0peq 276 22 to to TO cord-267644-guzn0peq 276 23 flatten flatten VB cord-267644-guzn0peq 276 24 the the DT cord-267644-guzn0peq 276 25 curve curve NN cord-267644-guzn0peq 276 26 of of IN cord-267644-guzn0peq 276 27 coronavirus coronavirus NN cord-267644-guzn0peq 276 28 , , , cord-267644-guzn0peq 276 29 a a DT cord-267644-guzn0peq 276 30 mathematician mathematician NN cord-267644-guzn0peq 276 31 explains explain VBZ cord-267644-guzn0peq 276 32 Rapid Rapid NNP cord-267644-guzn0peq 276 33 Expert Expert NNP cord-267644-guzn0peq 276 34 Consultation Consultation NNP cord-267644-guzn0peq 276 35 on on IN cord-267644-guzn0peq 276 36 SARS SARS NNP cord-267644-guzn0peq 276 37 - - HYPH cord-267644-guzn0peq 276 38 CoV-2 CoV-2 NNP cord-267644-guzn0peq 276 39 Survival Survival NNP cord-267644-guzn0peq 276 40 in in IN cord-267644-guzn0peq 276 41 Relation Relation NNP cord-267644-guzn0peq 276 42 to to IN cord-267644-guzn0peq 276 43 Temperature Temperature NNP cord-267644-guzn0peq 276 44 and and CC cord-267644-guzn0peq 276 45 Humidity Humidity NNP cord-267644-guzn0peq 276 46 and and CC cord-267644-guzn0peq 276 47 Potential potential NN cord-267644-guzn0peq 276 48 for for IN cord-267644-guzn0peq 276 49 Seasonality Seasonality NNP cord-267644-guzn0peq 276 50 for for IN cord-267644-guzn0peq 276 51 the the DT cord-267644-guzn0peq 276 52 COVID-19 COVID-19 NNP cord-267644-guzn0peq 276 53 Pandemic Pandemic NNP cord-267644-guzn0peq 276 54 . . . cord-267644-guzn0peq 277 1 The the DT cord-267644-guzn0peq 277 2 National National NNP cord-267644-guzn0peq 277 3 Academies Academies NNPS cord-267644-guzn0peq 277 4 Press Press NNP cord-267644-guzn0peq 277 5 Effects effect NNS cord-267644-guzn0peq 277 6 of of IN cord-267644-guzn0peq 277 7 temperature temperature NN cord-267644-guzn0peq 277 8 on on IN cord-267644-guzn0peq 277 9 COVID-19 covid-19 JJ cord-267644-guzn0peq 277 10 transmission transmission NN cord-267644-guzn0peq 277 11 No No NNP cord-267644-guzn0peq 277 12 Association Association NNP cord-267644-guzn0peq 277 13 of of IN cord-267644-guzn0peq 277 14 COVID-19 COVID-19 NNP cord-267644-guzn0peq 277 15 transmission transmission NN cord-267644-guzn0peq 277 16 with with IN cord-267644-guzn0peq 277 17 temperature temperature NN cord-267644-guzn0peq 277 18 or or CC cord-267644-guzn0peq 277 19 UV uv NN cord-267644-guzn0peq 277 20 radiation radiation NN cord-267644-guzn0peq 277 21 in in IN cord-267644-guzn0peq 277 22 Chinese chinese JJ cord-267644-guzn0peq 277 23 cities city NNS cord-267644-guzn0peq 277 24 Numerical numerical JJ cord-267644-guzn0peq 277 25 approximation approximation NN cord-267644-guzn0peq 277 26 of of IN cord-267644-guzn0peq 277 27 the the DT cord-267644-guzn0peq 277 28 percentage percentage NN cord-267644-guzn0peq 277 29 of of IN cord-267644-guzn0peq 277 30 order order NN cord-267644-guzn0peq 277 31 for for IN cord-267644-guzn0peq 277 32 one one CD cord-267644-guzn0peq 277 33 - - HYPH cord-267644-guzn0peq 277 34 dimensional dimensional JJ cord-267644-guzn0peq 277 35 maps map NNS cord-267644-guzn0peq 277 36 Generalized generalized JJ cord-267644-guzn0peq 277 37 logistic logistic JJ cord-267644-guzn0peq 277 38 growth growth NN cord-267644-guzn0peq 277 39 modeling modeling NN cord-267644-guzn0peq 277 40 of of IN cord-267644-guzn0peq 277 41 the the DT cord-267644-guzn0peq 277 42 COVID-19 covid-19 JJ cord-267644-guzn0peq 277 43 outbreak outbreak NN cord-267644-guzn0peq 277 44 in in IN cord-267644-guzn0peq 277 45 29 29 CD cord-267644-guzn0peq 277 46 provinces province NNS cord-267644-guzn0peq 277 47 in in IN cord-267644-guzn0peq 277 48 China China NNP cord-267644-guzn0peq 277 49 and and CC cord-267644-guzn0peq 277 50 in in IN cord-267644-guzn0peq 277 51 the the DT cord-267644-guzn0peq 277 52 rest rest NN cord-267644-guzn0peq 277 53 of of IN cord-267644-guzn0peq 277 54 the the DT cord-267644-guzn0peq 277 55 world world NN cord-267644-guzn0peq 278 1 How how WRB cord-267644-guzn0peq 278 2 COVID-19 covid-19 JJ cord-267644-guzn0peq 278 3 and and CC cord-267644-guzn0peq 278 4 other other JJ cord-267644-guzn0peq 278 5 infectious infectious JJ cord-267644-guzn0peq 278 6 diseases disease NNS cord-267644-guzn0peq 278 7 spread spread VBP cord-267644-guzn0peq 278 8 : : : cord-267644-guzn0peq 278 9 Mathematical mathematical JJ cord-267644-guzn0peq 278 10 modeling model VBG cord-267644-guzn0peq 278 11 An an DT cord-267644-guzn0peq 278 12 Introduction introduction NN cord-267644-guzn0peq 278 13 to to IN cord-267644-guzn0peq 278 14 Difference Difference NNP cord-267644-guzn0peq 278 15 Equations Equations NNP cord-267644-guzn0peq 278 16 Kappa Kappa NNP cord-267644-guzn0peq 278 17 function function NN cord-267644-guzn0peq 278 18 as as IN cord-267644-guzn0peq 278 19 a a DT cord-267644-guzn0peq 278 20 unifying unifying JJ cord-267644-guzn0peq 278 21 framework framework NN cord-267644-guzn0peq 278 22 for for IN cord-267644-guzn0peq 278 23 discrete discrete JJ cord-267644-guzn0peq 278 24 population population NN cord-267644-guzn0peq 278 25 modeling modeling NN cord-267644-guzn0peq 278 26 Vaccinology Vaccinology NNP cord-267644-guzn0peq 278 27 : : : cord-267644-guzn0peq 278 28 an an DT cord-267644-guzn0peq 278 29 essential essential JJ cord-267644-guzn0peq 278 30 guide guide NN cord-267644-guzn0peq 278 31 Infection infection NN cord-267644-guzn0peq 278 32 dynamics dynamic NNS cord-267644-guzn0peq 278 33 of of IN cord-267644-guzn0peq 278 34 coronavirus coronavirus NN cord-267644-guzn0peq 278 35 disease disease NN cord-267644-guzn0peq 278 36 2019 2019 CD cord-267644-guzn0peq 278 37 ( ( -LRB- cord-267644-guzn0peq 278 38 Covid-19 Covid-19 NNP cord-267644-guzn0peq 278 39 ) ) -RRB- cord-267644-guzn0peq 278 40 modeled model VBN cord-267644-guzn0peq 278 41 with with IN cord-267644-guzn0peq 278 42 the the DT cord-267644-guzn0peq 278 43 integration integration NN cord-267644-guzn0peq 278 44 of of IN cord-267644-guzn0peq 278 45 the the DT cord-267644-guzn0peq 278 46 Eyring Eyring NNP cord-267644-guzn0peq 278 47 's 's POS cord-267644-guzn0peq 278 48 rate rate NN cord-267644-guzn0peq 278 49 process process NN cord-267644-guzn0peq 278 50 theory theory NN cord-267644-guzn0peq 278 51 and and CC cord-267644-guzn0peq 278 52 free free JJ cord-267644-guzn0peq 278 53 volume volume NN cord-267644-guzn0peq 278 54 concept concept NN cord-267644-guzn0peq 278 55 Time Time NNP cord-267644-guzn0peq 278 56 variations variation NNS cord-267644-guzn0peq 278 57 in in IN cord-267644-guzn0peq 278 58 the the DT cord-267644-guzn0peq 278 59 generation generation NN cord-267644-guzn0peq 278 60 time time NN cord-267644-guzn0peq 278 61 of of IN cord-267644-guzn0peq 278 62 an an DT cord-267644-guzn0peq 278 63 infectious infectious JJ cord-267644-guzn0peq 278 64 disease disease NN cord-267644-guzn0peq 278 65 : : : cord-267644-guzn0peq 278 66 implications implication NNS cord-267644-guzn0peq 278 67 for for IN cord-267644-guzn0peq 278 68 sampling sampling NN cord-267644-guzn0peq 278 69 to to TO cord-267644-guzn0peq 278 70 appropriately appropriately RB cord-267644-guzn0peq 278 71 quantify quantify VB cord-267644-guzn0peq 278 72 transmission transmission NN cord-267644-guzn0peq 278 73 potential potential JJ cord-267644-guzn0peq 278 74 A a DT cord-267644-guzn0peq 278 75 mathematical mathematical JJ cord-267644-guzn0peq 278 76 model model NN cord-267644-guzn0peq 278 77 for for IN cord-267644-guzn0peq 278 78 simulating simulate VBG cord-267644-guzn0peq 278 79 the the DT cord-267644-guzn0peq 278 80 phase phase NN cord-267644-guzn0peq 278 81 - - HYPH cord-267644-guzn0peq 278 82 based base VBN cord-267644-guzn0peq 278 83 transmissibility transmissibility NN cord-267644-guzn0peq 278 84 of of IN cord-267644-guzn0peq 278 85 a a DT cord-267644-guzn0peq 278 86 novel novel JJ cord-267644-guzn0peq 278 87 coronavirus coronavirus NN cord-267644-guzn0peq 278 88 General General NNP cord-267644-guzn0peq 278 89 Allee Allee NNP cord-267644-guzn0peq 278 90 effect effect NN cord-267644-guzn0peq 278 91 in in IN cord-267644-guzn0peq 278 92 two two CD cord-267644-guzn0peq 278 93 - - HYPH cord-267644-guzn0peq 278 94 species species NN cord-267644-guzn0peq 278 95 population population NN cord-267644-guzn0peq 278 96 biology biology NN cord-267644-guzn0peq 279 1 Nearly nearly RB cord-267644-guzn0peq 279 2 Exact Exact NNP cord-267644-guzn0peq 279 3 Discretization Discretization NNP cord-267644-guzn0peq 279 4 of of IN cord-267644-guzn0peq 279 5 Single Single NNP cord-267644-guzn0peq 279 6 Species Species NNP cord-267644-guzn0peq 279 7 Population Population NNP cord-267644-guzn0peq 279 8 Models Models NNPS cord-267644-guzn0peq 279 9 Mathematical Mathematical NNP cord-267644-guzn0peq 279 10 Model Model NNP cord-267644-guzn0peq 279 11 for for IN cord-267644-guzn0peq 279 12 the the DT cord-267644-guzn0peq 279 13 Aggregation Aggregation NNP cord-267644-guzn0peq 279 14 of of IN cord-267644-guzn0peq 279 15 β β NNP cord-267644-guzn0peq 279 16 - - HYPH cord-267644-guzn0peq 279 17 Amyloid Amyloid NNP cord-267644-guzn0peq 279 18 Cryo Cryo NNP cord-267644-guzn0peq 279 19 - - HYPH cord-267644-guzn0peq 279 20 EM EM NNP cord-267644-guzn0peq 279 21 structure structure NN cord-267644-guzn0peq 279 22 of of IN cord-267644-guzn0peq 279 23 the the DT cord-267644-guzn0peq 279 24 2019-nCoV 2019-ncov CD cord-267644-guzn0peq 279 25 spike spike NN cord-267644-guzn0peq 279 26 in in IN cord-267644-guzn0peq 279 27 the the DT cord-267644-guzn0peq 279 28 prefusion prefusion NN cord-267644-guzn0peq 279 29 conformation conformation NN cord-267644-guzn0peq 279 30 Negative negative JJ cord-267644-guzn0peq 279 31 activation activation NN cord-267644-guzn0peq 279 32 energies energy NNS cord-267644-guzn0peq 279 33 and and CC cord-267644-guzn0peq 279 34 curved curved JJ cord-267644-guzn0peq 279 35 Arrhenius Arrhenius NNP cord-267644-guzn0peq 279 36 plots plot NNS cord-267644-guzn0peq 279 37 . . . cord-267644-guzn0peq 280 1 1 1 LS cord-267644-guzn0peq 280 2 . . . cord-267644-guzn0peq 281 1 Theory theory NN cord-267644-guzn0peq 281 2 of of IN cord-267644-guzn0peq 281 3 reactions reaction NNS cord-267644-guzn0peq 281 4 over over IN cord-267644-guzn0peq 281 5 potential potential JJ cord-267644-guzn0peq 281 6 wells well NNS cord-267644-guzn0peq 281 7 Fitting fit VBG cord-267644-guzn0peq 281 8 a a DT cord-267644-guzn0peq 281 9 straight straight JJ cord-267644-guzn0peq 281 10 line line NN cord-267644-guzn0peq 281 11 with with IN cord-267644-guzn0peq 281 12 errors error NNS cord-267644-guzn0peq 281 13 on on IN cord-267644-guzn0peq 281 14 both both DT cord-267644-guzn0peq 281 15 coordinates coordinate VBZ cord-267644-guzn0peq 281 16 Approach Approach NNP cord-267644-guzn0peq 281 17 to to IN cord-267644-guzn0peq 281 18 general general JJ cord-267644-guzn0peq 281 19 methods method NNS cord-267644-guzn0peq 281 20 for for IN cord-267644-guzn0peq 281 21 fitting fitting NN cord-267644-guzn0peq 281 22 and and CC cord-267644-guzn0peq 281 23 their -PRON- PRP$ cord-267644-guzn0peq 281 24 sensitivity sensitivity NN cord-267644-guzn0peq 281 25 Geometric geometric JJ cord-267644-guzn0peq 281 26 interpretation interpretation NN cord-267644-guzn0peq 281 27 of of IN cord-267644-guzn0peq 281 28 errors error NNS cord-267644-guzn0peq 281 29 in in IN cord-267644-guzn0peq 281 30 multi multi JJ cord-267644-guzn0peq 281 31 - - JJ cord-267644-guzn0peq 281 32 parametrical parametrical JJ cord-267644-guzn0peq 281 33 fitting fitting JJ cord-267644-guzn0peq 281 34 methods method NNS cord-267644-guzn0peq 281 35 Decades decade NNS cord-267644-guzn0peq 281 36 - - HYPH cord-267644-guzn0peq 281 37 long long JJ cord-267644-guzn0peq 281 38 changes change NNS cord-267644-guzn0peq 281 39 of of IN cord-267644-guzn0peq 281 40 the the DT cord-267644-guzn0peq 281 41 interstellar interstellar JJ cord-267644-guzn0peq 281 42 wind wind NN cord-267644-guzn0peq 281 43 through through IN cord-267644-guzn0peq 281 44 our -PRON- PRP$ cord-267644-guzn0peq 281 45 solar solar JJ cord-267644-guzn0peq 281 46 system system NN cord-267644-guzn0peq 282 1 Solar solar JJ cord-267644-guzn0peq 282 2 radiation radiation NN cord-267644-guzn0peq 282 3 pressure pressure NN cord-267644-guzn0peq 282 4 and and CC cord-267644-guzn0peq 282 5 local local JJ cord-267644-guzn0peq 282 6 interstellar interstellar JJ cord-267644-guzn0peq 282 7 medium medium NN cord-267644-guzn0peq 282 8 flow flow NN cord-267644-guzn0peq 282 9 parameters parameter NNS cord-267644-guzn0peq 282 10 from from IN cord-267644-guzn0peq 282 11 IBEX IBEX NNP cord-267644-guzn0peq 282 12 low low JJ cord-267644-guzn0peq 282 13 energy energy NN cord-267644-guzn0peq 282 14 hydrogen hydrogen NN cord-267644-guzn0peq 282 15 measurements measurement NNS cord-267644-guzn0peq 282 16 Low low JJ cord-267644-guzn0peq 282 17 energy energy NN cord-267644-guzn0peq 282 18 neutral neutral JJ cord-267644-guzn0peq 282 19 atoms atom NNS cord-267644-guzn0peq 282 20 from from IN cord-267644-guzn0peq 282 21 the the DT cord-267644-guzn0peq 282 22 heliosheath heliosheath JJ cord-267644-guzn0peq 282 23 Chi Chi NNP cord-267644-guzn0peq 282 24 - - HYPH cord-267644-guzn0peq 282 25 p p NN cord-267644-guzn0peq 282 26 distribution distribution NN cord-267644-guzn0peq 282 27 : : : cord-267644-guzn0peq 282 28 Characterization characterization NN cord-267644-guzn0peq 282 29 of of IN cord-267644-guzn0peq 282 30 the the DT cord-267644-guzn0peq 282 31 goodness goodness NN cord-267644-guzn0peq 282 32 of of IN cord-267644-guzn0peq 282 33 the the DT cord-267644-guzn0peq 282 34 fitting fitting NN cord-267644-guzn0peq 282 35 using use VBG cord-267644-guzn0peq 282 36 L l NN cord-267644-guzn0peq 282 37 p p CD cord-267644-guzn0peq 282 38 norms norm NNS cord-267644-guzn0peq 282 39 General general JJ cord-267644-guzn0peq 282 40 fitting fitting JJ cord-267644-guzn0peq 282 41 methods method NNS cord-267644-guzn0peq 282 42 based base VBN cord-267644-guzn0peq 282 43 on on IN cord-267644-guzn0peq 282 44 L L NNP cord-267644-guzn0peq 282 45 q q NNP cord-267644-guzn0peq 282 46 norms norm NNS cord-267644-guzn0peq 282 47 and and CC cord-267644-guzn0peq 282 48 their -PRON- PRP$ cord-267644-guzn0peq 282 49 optimization optimization NN cord-267644-guzn0peq 282 50 Plasma plasma NN cord-267644-guzn0peq 282 51 - - HYPH cord-267644-guzn0peq 282 52 field field NN cord-267644-guzn0peq 282 53 coupling coupling NN cord-267644-guzn0peq 282 54 at at IN cord-267644-guzn0peq 282 55 small small JJ cord-267644-guzn0peq 282 56 length length NN cord-267644-guzn0peq 282 57 scales scale NNS cord-267644-guzn0peq 282 58 in in IN cord-267644-guzn0peq 282 59 solar solar JJ cord-267644-guzn0peq 282 60 wind wind NN cord-267644-guzn0peq 282 61 near near IN cord-267644-guzn0peq 282 62 1 1 CD cord-267644-guzn0peq 282 63 au au NN