University of California College of Agriculture Agricultural Experiment Station Berkeley, California Statistical Analysis of the Annual Average F.O.B. Prices o Pacific Coast Canned Bartlett Pears, 1926-27 to 1950-51 by Sidney Jfoos July 1951 Contribution from the Giannini Foundation of Agricultural Economics Mimeographed Report No. 121 UMlVRKSITY OF CAUPOKI^A LIBRARY TBXEGE OF AGWCULTUW Statistical Analysis of the Annual Average F.O.B. Prices of Pacific Coast Canned Bar tie tt Pears, 1926-27 to 1950-51 Sidney HoosV The purpose of this report is to present the results of a statistical analy- sis of the major factors which have influenced the annual average f.o.b. prices received for canned Bartlett pears by canners on the Pacific Coast from 1926-27 through 1950-51. The years 19U0-U1 through 19h$-h6 were excluded from the analy- sis because of the abnormal conditions which prevailed during the war years, such as federal price control; and 19U6-U7 was excluded because a large proportion of canner shipments went into the refilling of the supply pipe line rather than into consumers' hands.. In the analysis the average relationships which prevailed between the f.o.b. prices of Pacific Coast canned Bartlett pears and three factors were measured. These three factors are: (1) total domestic shipments of Pacific Coast canned pears; (2) index of nonagricultural income payments in the United States; and (3) adjusted index of prices of competing canned fruits. Expressed in numerical terms these average relations may be summarized as follows : (a) An increase of 10 per cent in domestic shipments of Pacific Coast canned pears, with nonagricultural income and with competing canned fruit prices held constant, was on the average accompanied by a decrease of about 2-| per cent in the f.o.b. price per case of canned Bartlett pears. (b) An increase of 10 per cent in the index of nonagricultural income in the United States, with domestic shipments of Pacific Coast canned pears and with prices of competing canned fruits held 1/ Professor of Agricultural Economics, Agricultural Economist in the Ex- periment Station and on the Giannini Foundation. on 9v. axe )3 eox: ,3 ■ Mad !.t ni tn&> taq OX lo 2. constant, was on the average accompanied by an increase of about 12 per cent in the f.o.b. price per case of canned Bartlett pears, (c) An increase of 10 per cent in the adjusted index of prices of competing canned fruits, with domestic shipments of Pacific Coast canned pears and with nonagricultural income held constant, was on the average accompanied by an increase of about 9 per cent in the f.o.b. price per case of canned Bartlett pears.. Differences between the actual prices and those explained by the statistical analysis are given in table U, column 3» The f.o.b. prices of canned Bartlett pears used in the report are industry average prices; they are based on records of canners and reflect actual opera- tions of the canneries packing Bartlett pears in California and in the Pacific Northwest. The domestic movement of canned Bartlett pears from canners in the three Pacific Coast states has been derived from statistics issued by the Canners League of California and the Northwest Canners Association; the total movement from can- neries has been adjusted for exports to derive the movement to the domestic mar- ket. The index of United States nonagricultural income is based on reports issued by the United States Department of Commerce. At the time the analysis was made, nonagricultural income figures for the 1950-51 season were available only through April, 1951. Hence, in the nonagricultural income figures used for the marketing year, 1950-51^ in the analysis, it has been necessary to estimate the value for May, 1951; it has been estimated at the value of April, 1951. The level of competing canned fruit prices has been measured by an index constructed in the same manner as in the previous reports on canned Bartlett pears; the construction of the index is explained in some detail in table 3 appended to 3. . this report. The f .o.b. prices of canned apricots and canned clingstone peaches are based on reports from California canners and reflect actual operations of the packers. ■ The prices for canned apricots were compiled by the Canners League of California, and the prices of canned clingstone peaches were compiled by the Cling Peach Advisory Board. The prices of canned Hawaiian pineapple are based on published quotations supplemented by available trade information. Specific sources for the several series of data used in the analysis, and more detailed specifications, are noted in the explanatory footnotes to tables 1, 2 and 3 appended to this report. TABLE 1 Statistical Analysis of Annual Average F.O.B. Prices of Pacific Coast Canned Bartlett Pears (1926-27 Through 1950-51, Excluding 19U0-U1 Through 19J*6-U7) Year, June through May- Pacific Coast f.o.b. price canned Bartlett pears dollars per case 1926-27 U.31 1927-28 U.60 1928-29 U.13 1929-30 U.82 1930-31 3.53 1931-32 2.82 1932-33 2.U8 1933-31* 2.61* 193U-35 3.05 1935-36 2.92 1936-37 2.92 1937-38 3.07 1938-39 2.77 1939-UO 3.27 19U7-U8 7.07 19U8-U9 7.37 19U9-50 , 5.15 l95o-5l b / 6.90 Domestic shipments of canned pears 1,000 casesa/ 1,957 1,637 2,170 2,383 2,617 1,990 2,200 2,767 2,98ii 2,670 3,997 2,681 3,11k 2,768 U,866 3,660 5,613 h,790 Index of United States no nagri cultural income Adjusted index of prices of competing canned fruits 5 1935-1939 = 100 115.3 116.2 120.7 120.2 10U.U 85.5 68.1 75.5 82.1 91.0 106.5 103.3 101.0 109.6 285.9 30U.7 305.2 3U6.5 119.0 105.9 103.3 121.1* 107.7 108.3 118,2 123.0 128.1 109.1 95.2 107.1 90.6 88.7 61.2 59.9 51.6 53. U a/ No. 2^ can basis. b/ Preliminary, subject to revision. Sources: Col. It Compiled from canner reports by Canners League of California and Northwest Canners Association, Prices are weighted average f.o.b. prices received by canners for all grades and sizes of cans, on an unadvertised basis. Col. 2: Column 7, table 2. Col. 3: Simple average of the pack-year monthly indexes of national income, excluding agricultural income, 1935-1939 average equals 100. Monthly income data compiled from U. S. Department of Commerce, Survey of Current Business. Index for May 1951 estimated at a level of April 1951. Col. hi For sources and method of construction, see table 3» 6^- ; r, rr 9s$?, TO" £.801. V0.£- ro c ■tc r oe t \;isni:nr4X9Tl \d ,^fjX JlGf 1.4 5. TABLE 2 Pack, Carry-Over, Shipments, and Exports of Pacific Coast Canned Pears, 1926-27 to 1950-51 Year, June through May Pack Carry-over from previous year Available for shipment Carry-over into following year Total shipments Exports Domestic shipments 1 2 3 h 5 6 7 .,000 casesa/ 1926- 27 1927- 28 1928- 29 1929- 30 3,260 2,639 It, 116 4,206 507 4OI 167 292 3,767 3,040 4,283 4,498 401 167 292 952 3,366 2,873 3,991 3,546 1,409 1,236 1,821 1,163 1,957 1,637 2,170 2,383 1910-31 1931- 32 1932- 33 1933- 34 1934- 35 3,635 3,117 4,377 5,505 952 893 870 l£9 273 5.105 U,528 3,987 4,806 5,778 893 870 429 273 1,291 4,212 3,658 3,558 4,533 4,487 1,595 1,668 1,358 1,766 1,503 2.617 1,990 2,200 2,767 2,984 1935- 36 1936- 37 1937- 38 1938- 39 1939- 40 4,230 5,355 4,321 4,090 4,057 1,291 957 850 1,150 400 5,521 6,312 5,171 5,240 u,U57 957 850 1,150 400 280 4,564 5,U62 4,021 4,840 4,177 n Oq|, 1,465 1,340 1,726 1,409 2,070 3,997 2,681 3,114 2,768 1947-48 19U8-U9 1949- 50 1950- 51 5,622 3,831 5,459 6,048 200 726 761 448 5,822 4,557 6,220 6,496 726 761 448 566 5,096 3,796 5,772 5,930 230 136 159 239 4,866 3,660 4,790b/ a/ No. l\ can basis. b/ Excludes 900, 5U9 cases purchased by U. S. Defense Department (Quartermaster ■ Corps). If Quartermaster purchases were included, domestic shipments would amount to 5,691,000 cases. Sources: Col. 1: Cols. 2 and 4: Cols. 3 Col. 6: Col. 7: and 5: Compiled from reports of Canners League of California and Northwest Canners Association. Compiled from reports of Canners League of California and Northwest Canners Association. Carry-overs for June 1, 1937, 1938, 1939, and 1940 were estimated from incomplete data. California and Pacific Northwest carry-overs for June 1, 1926, 1927, 1928, 1929, and 1930 were converted from actual cases. Also, Pacific Northwest carry-over for June 1, 1932 was con- verted from actual cases. Calculated. Compiled from United States Department of Commerce, Monthly Summary of Foreign Commerce of the United States. Exports con- verted at U5 pounds per No.. 2f equivalent case. April-May 1951 exports estimated* Column 5 minus column 6. 1 t<> stooqxfl bns- t L_ _ L P : i -1— , . •J... • . o ^ fcoo £ 1 ' ■ a V baR »jtm > ?Jioqxa-- ^9i±nU . 9 r# to « SO ■ adriPirlJ m* ■fairafX eft • TABLE 3 Construction of Index of Prices of Canned Fruits Competing with Canned Bartlett Pears Unadjusted Adjusted Year, Prices Relatives of prices index of Index of index of June Canned 1 Canned Canned prices of United States prices of through clingstone Canned Canned clingstone Canned Hawaiian competing nonagricul- competing May peaches apricots pineapples peaches apricots pineapple canned fruits tural income canned fruits 1 2 3 5 6 7 8 9 dollars per case 1935-1939 = 100 1926-27 3.66 3.85 4.70 1 142.2 137.3 130.6 137.2 115.3 119.0 1927-28 3.17 3.97 4.20 123.2 141.6 116.7 123.1 116.2 105.9 1928-29 3.22 3.67 4.40 125.1 130.9 122.2 124.7 120.7 103.3 1929-30 4.08 3.97 4.70 158.5 141.6 130.6 145.9 120.2 121.4 1930-31 2.88 3.32 4.00 111.9 118.4 111.1 112.4 104.4 107.7 1931-32 2.55 2.64 3.00 99.1 94.2 83.3 92.6 85.5 108.3 "i Q o_ IsOc- OO 1.97 2.23 3.10 76.5 79.5 86*1 80.5 U O . X X X o . c 1933-34 2.31 2.37 3.60 89.7 84.5 100.0 92.9 75.5 123.0 1934-35 2.69 3.47 3.60 104.5 123.8 100.0 105.2 82.1 128.1 1935-36 2.51 2.93 3.60 97.5 104.5 100.0 99.3 91.0 109.1 1936-37 2.66 2.75 3.60 103.3 98.1 100.0 101.4 106.5 95.2 1937-38 2.96 3.02 3.80 115.0 107.7 105.6 110.6 103.3 107.1 1938-39 2.30 2.55 3.40 89.4 90.9 94.4 91.5 101.0 90.6 1939-40 2.44 2.77 3.60 94.8 98.8 100.0 97.2 109.6 88.7 1947-48 4.70 5.20 5.80 182.6 185.4 161.1 174.9 285.9 61.2 1948-49 4.86 4.55 6.50 188.8 162.3 180.6 182.4 304.7 59.9 1949-50 3.94 4.11 6.00 153.1 146.6 166.7 157.4 305.2 51.6 1950-5ia/ 4.98 4.83 6.40 193.5 172.3 177.8 185.0 346.5 53.4 a/ Preliminary, subject to revision. Sources : Cols. 1 and 2: Compiled from reports by canners. Prices are weighted average f.o.b. prices of all grades and sizes of cans. Canned clingstone peach prices are for California; and canned Bartlett pear prices are for £ the Pacific Coast, except 1947-48 is for California. (Continued on next page.) • 1 * • • • ■ * • • ... • "i J C eU c j ST \ ■ : S3 • ■ • %. » » 1 » i J Q$QP AC* $ J* JOT* * J '? ^ P.~* mm . - 9t • *j 1 % •* v 41 pC ; T „ 0 . . . J _ — ^ C cue .pure W*T£2 COW C«xroecj B»i4 Table 3 continued. Col. 3: Prices are for No. g§f sliced fancy pineapple, f.o.b. Hawaiian, from published quotations supple- mented by trade information. Cols. 4, 5 and 6: Prices given in columns 1, 2, and 3, respectively, in per cent of their 1935-1939 averages — canned clingstone peaches, $2,574; canned apricots, $2,804; canned pineapples, $3.60. Col. 7: Weighted combination of relatives in columns 4, 5, and 6 using the following weights — canned clingstone peaches, 8; canned apricots, 2; canned pineapples, 6. Col. 8: From table 1, column 3. Col. 9; Column 7 divided by column 8. 8. TABLE k Actual and Estimated F.O.B. Prices of Pacific Coast Canned Bartlett Pears, 1926-27 to 1950-51 Year, Difference: Column 3 June column 1 as per through Actual Estimated minus cent of May price price column 2 column 1 1 2 3 k dollars per case per cent 1926-27 U.31 U.62 -0.31 - 7.2 1927-28 Mo ii.38 0.22 U.8 1928-29 U.13 iu21 -0.08 - 1.9 1929-30 U.82 U.72 0.10 2.1 1930-31 3.53 3.50 0.03 0.8 1931-32 2.82 2.9k -0.12 - k»3 1932-33 2.1*8 2.35 0.13 5.2 1933-3U 2.6U 2.62 0.02 0.8 193U-35 3.05 2.95 0.10 3.3 loot oA 2.92 2.98 -0.06 0 i — d.i. 1936-37 2.92 2.92 0.0 0.0 1937-38 3.07 3.U2 -0.35 -11. u 1938-39 2.77 2.77 0.0 0.0 1939-UO 3.27 3.09 0.18 5.5 19U7-U8 7.07 6.29 0.78 11.0 19kQ-k9 7.37 7.13 0.2k 3.3 191+9-50 5.15 5.67 -0.52 -10.1 1950-51 6.90 7.08 -0.18 - 2.6 Sources : Col. 1: From table 1, column 1. Col. 2: Estimated by equation It, table 5* Col. 3: Column 1 minus column 2. Col. U: Column 3 as per cent of column 1. £~rr~ — 7' — j — t W j 1 ' " ,s | •s ~ 4v _2 ^ '. ■ ij it .4 _ gt * ' Sc«ti t«a - Cf'v A ft • i • \ Jb. * . »' _ X • 5 eLdBS t ii ncij-jsifp^ bsirmi-j-aa : :S .160 *iS nrs/Ios aim 'a? I nfi-mpD ••'f ? .Io0 .1 niftulco 'to tfneo isq sfi C ssaas^cO id «Xo0 TABLE 5 Statistical Analyses of Factors Affecting Annual Average F.O.B. Prices of Pacific Coast Bartlett Pears, 1926-27 to 1950-51 (Excluding 1940-41 Through 1946-4-7) 1 ! , , . ... Multiple regression equations R Adjusted coefficient r ■ ■ ■ ■ i Equation Dependent number I variable Constant term Independent variables and their net regression coefficients (figures in parentheses are t-ratios and in brackets are beta coefficients) of multiple correlation 1 x l -2O.37O938 -0.40o000Xp + 10.9571^0 log-jQA^ + 0.0273^1X4 (2.601294) (10.150583) J (2.492112) [0.284358] [I.536831] [0.425552] u . yoo 2 x l -I3.O96O54 1 , -2.388270 log 10 X P + 10.735597 log ln X- + 0.029493X!, (2.108041) (9.401520) 3 (2.547096) [0.220879] [1.505757] [0.459055] 0.964 3 x l -27.944203 1 -1.897984 logX ? + 11.477785 log lft X, + 7.333932 log 10 X4 (1.612923) 10 (8.874514) 10 3 (2.773381) [-0.175535] [1.609855] [0.59^920] 0.966 4 -2.916400 -0.231115 log nn Xp + I.218529 log in Xo + 0.881142 log. ^4 (3.028261) 1U d (14.526614) 10 3 (5.137613) [-0.221132] [I.768139] [0.739468] 0.985 X-, ■ annual average f.o.b. price of Pacific Coast canned Bartlett pears (in dollars per case); Xg = domestic shipments of Pacific Coast canned Bartlett pears (in units of 1,000,000 cases); X^ = index of United States nonagricultural income (1935-1939=100) ; X4 ■ adjusted index of prices of competing canned fruit (1935-1939=100) . ! ■ ; 1 i — ■ ; j