mm lANNINI • FOUNDATION OF AGRICULTURAL ECONOMICS UNIVERSITY OF CALIFORNIA An Economic Evaluation of California Avocado Industry Marketing Programs 1961-1993 Hoy F. Carman and R. Kim Craft Si, "^IS9S (^iannini Foundation Research Report Number 345^" ^^^^AF{y July 1998 DIVISION OF AGRICULTURE AND NATURAL RESOURCES CALIFORNIA AGRICULTURAL EXPERIMENT STATION AN ECONOMIC EVALUATION OF CALIFORNIA AVOCADO INDUSTRY MARKETING PROGRAMS, 1961-1995 Hoy F. Carman and R. Kim Craft Hoy F. Carman is Professor of Agricultural and Resource Economics, Uruversity of California, Davis. R. Kim Craft is Assistant Professor of Managerial Economics, Southern Utah University. ACKNOWLEDGMENTS A number of organizations and individuals supplied data and ideas that materially contributed to the completion of this study. The financial support and data provided by the California Avocado Commission is gratefully acknowledged. We also appreciate the cooperation of several firms who provided confidential data on their advertising and promotion activities. Individuals who provided data and other important information include Mark Affleck, Tom Bellamore, Val Weaver and Betty Bohrk of the California Avocado Commission, and Dale Stem, Gwen Peterson and Gregg Payne. JuUan Alston and James Chalfant provided review comments on earlier versions of the manuscript and Claudette Oriol prepared the final manuscript. Our sincere thaiJcs go to all of them. SUMMARY This report describes an economic study of the California avocado industry, including its economic history and markets, and presents an econometric model of supply, demand, and price. The objective of this study is to determine the effect of California avo- cado industry advertising and promotion expendi- tures on the demand and price for Califorrua avocados and to estimate the ratio of benefits to costs for mar- keting programs conducted by the California Avocado Coiiunission.' The econometric model used to evalu- ate the impact of industry advertising and promotion includes components for avocado supply, demand and equilibrium price. Following is a description of study results for each of the major components. Avocado Supply The two major determinants of aimual avocado production, average yields and bearing acreage, are examined in some detail. Average yields, which are responsible for sharp year-to-year variations in total production, have become increasingly variable over time. While yields demonstrated a rather steady up- ward tiend from 1926 through 1956, there was little, if any, trend evident after 1957. Possible explanations for termination of the upward trend in yields and in- creased variability include expansion of new acreage on land not ideally suited to avocado production be- cause of climate, soU quality or topography, and re- duced water use due to sharp increases in water costs in major production areas. Avocado acreage changes armually as producers make decisions on whether to plant new trees or re- move existing trees. These decisions are hypothesized to be based on expected profits over the bearing life of new trees or the remaining life of existing trees. Proxies for expectations based on recent prices, costs and total returns, which have performed well in other studies, were used to explain plantings, removals and annual adjustments in both bearing acreage and total acreage. Avocado acreage response equations found (1) that plantings increase with increases in recent average returns per acre adjusted for costs, (2) that favorable income tax provisions for development of groves led to increased plantings, and (3) that sharply increased water costs were correlated with reduced plantings ft-om 1990-91 through 1994-95. Removals of avocado trees tended to respond most to the im- mediate past year's costs and prices. The plantings and removal relationships were combined in an esti- mated equation for the annual change in bearing acre- age which was used to represent annual acreage response for California avocados in the simtdation analysis described below. The Demand for Avocados California avocado prices and quantities trended upward over the period considered (1962-95). How- ever, in real terms, prices varied substantially aroimd a slightly downward trend. At the same time, gross producer revenues trended upward in both nominal and real terms, indicating that growth in quantity more than offset the decline in real prices. Overall, there has been significant growth in the demand for avocados over time. Factors associated with this growth in demand are examined in some detail using (1) an annual analysis of demand for the period 1962 through 1995, and (2) a monthly analysis of demand for the nine marketing years 1986-87 through 1994-95 Annml Demand An armual econometric model of the demand for CaUfomia avocados, with annual average farm level real price per poimd specified as the dependent vari- able, was specified and estimated. The preferred econometric model, which was selected on the basis of statistical tests and economic theory, shows that the quantity of avocados offered on the market is a very important explanatory factor, having a strong, nega- tive impact on price. The estimated price flexibility of demand of -1.33 (at the average values for each of the variables) means that a one-percent increase in quantity supplied will cause a 1.33 percent decrease in price, and a .33 percent reduction in gross revenue, other factors constant. Demand is quite inelastic, as indicated by year-to-year changes in production and total crop revenues. Surprisingly, the quantity of Florida avocados sold was found to have a positive effect on California prices but, statistically, this effect ' As used in this report, the tenns advertising or advertising and promotion include all marketing program activities de- signed to increase the demand for California avocados. Expenditures (and the effects of such expenditures) for produc- tion research, industry affairs, anti-theft programs and administration, which accoxmted for an annual average of 27.8 percent of GAG expenditures over the last five fiscal years (1991 - 1995), are not considered in the analysis. iii was not significantly different from zero. Avocado imports were foxmd to have a relatively large, and sta- tistically significant, negative impact on California avocado demand and prices. Real per capita dispos- able income was foimd to have a large, and statisti- cally significant, positive impact on avocado demand and prices, confirming that avocados are a normal good and that an increase in consiraier income leads to a more-than-proportionate increase in demand. The annual econometric model indicates that ad- vertising and promotion had a positive impact on Cali- fornia avocado demand and prices, and the point estimate shows a price response of plausible magni- tude (the estimated price flexibility is 0.13, indicating that a one percent increase in advertising and promo- tion expenditures leads to a 0.13 percent increase in price, holding quantity constant). The estimated ef- fect of advertising and promotion, which is not statis- tically significant at the usual 95 percent level, is significant at the 86 percent level. This lack of preci- sion for the advertising variable may be the result of data problems and other factors. These include mis- matches between the CaHfomia and Florida crop years that we were imable to correct (and probably resulted in the unexpected positive relationship between Florida sales and CaUf omia prices), the changing year- to-year activities included in the advertising variable, and possible structural changes. A monthly analysis of demand for Califonua avocados was undertaken as a partial solution to limitations evident in the an- nual analysis. Monthly Demand The model of monthly demand for California avo- cados was patterned after the annual demand model. Average f.o.b. level monthly real price per pound was specified as a function of pounds of avocados shipped from California and Florida, imports, consumer in- come, CAC marketing expenditures, brand advertis- ing and promotion, prices of related goods, and monthly demand shifters. Initial testing resulted in deleting several variables from the analysis, includ- ing the prices of possible related products and brand advertising expenditures by California avocado pack- ers. None was statistically sigruficant (t-ratios were very small) in any of the formulations tested and it was concluded that these variables have had no sta- tistical effect on the monthly demand for all Califor- nia avocados. The use of monthly data permitted close matching of avocado sales from all sources, avoided potential problems of structural change, and provided the best available data on advertising and promotion expenditures. Results of estimating the monthly demand for all California avocados were in line with expectations and were a definite improvement over the annual model. Each of the variables had the expected sign (Florida sales had a negative impact on California prices), most were statistically significant, and the magnitude of the estimates was reasonable. Advertising and promo- tion expenditures had a statistically significant posi- tive effect on the price of (and demand for) California avocados. The monthly and annual price flexibilities of demand with respect to advertising and promotion were almost identical (0.137 for the monthly analysis vs. 0.130 for the annual analysis). Advertising and promotion also had estimated lagged impacts on Cali- fornia avocado prices and demand that extended five months after the month the expenditures were paid. The estimated price flexibility of demand of -1.54 is larger than the annual estimate of -1.33, but the monthly quantity variable includes both California and Florida sales. The demand for California avoca- dos at average prices and quantities is inelastic at both the farm and f.o.b. levels, whether measured on an annual or monthly basis. This means that total in- dustry revenues wiU be less for a large crop than for a small crop. Estimated Benefit-Cost Ratios for Advertising Measurement of benefits and costs for commodity advertising are not as simple and straightforward as they first appear. Depending on assumptions, there are different measures of benefits, including average and marginal benefits measured in the short nm (as- suming fixed supply) or in the long nm (after adjust- ment of acreage to price changes). For this study, fixed supply benefits were estimated both aimuaUy and monthly. The time horizon also affects the measure- ment of costs. In the short run, aU costs of advertising and promotion are paid by avocado producers. How- ever, in the long run, producer adjustments to the as- sessments used to fund advertising and promotion act as a tax, which producers are able to partially shift to buyers. Following are the range of benefit-cost ra- tios estimated in the study. The aimual fixed supply industry returns from CAC advertising and promotion expenditures ranged from a weighted average of $5.33 to $6.01 per dollar spent depending on the time period examined and the discount rate used (note that all returns are total returns before the deduction of advertising expendi- tures). A simple average of the annual fixed supply benefit-cost ratios is equal to 5.25. Short term returns for the most recent nine years (1986-87 through 1994- 95 marketing years), based on the monthly analysis and discoimted at 3 percent, yields a weighted aver- age return of $6.35 per doUar spent on advertising and iv promotion. For the nine-year period of analysis, the monthly marginal and average benefit-cost ratios are equal to 8.92. The marginal benefit-cost ratios were greater than one for all but two months of the period, indicating that the CAC could have profitably in- creased advertising and promotion during all but two months of the nine-year period. These returns are eroded over time, however, when the acreage response to higher returns is factored into the analysis. Producers make decisions in response to higher returns that result in expanded acreage, but there is a lag of several years before production in- creases. Because demand is inelastic, increased pro- duction decreases both price and total revenue and production response may partially or totally offset increased demand due to advertising. The armual simulation model was run with actual and zero ad- vertising and promotion expenditures and the annual difference in total industry revenues was compared to advertising and promotion expenditures. CAC marketing program expenditures increased estimated net total industry revenues by $102.8 million over the period of analysis. In other words, estimated net in- dustry total revenues after deduction of advertising and promotion expenditures would have been $102.8 million lower than actually occurred, and the indus- try would have been smaller, had the CAC not been conducting its advertising and promotion programs. When real costs and returns were discounted at 0 and 3 percent, the overall long-run discounted real returns from advertising and promotion were $1.78 and $1.71 per dollar spent, if producers paid the total costs of the program. After accounting for costs shifted to buyers, we estimated that California avocado produc- ers enjoyed an annual average benefit-cost ratio of 2.84 for the 34 years of the analysis. The long-run weighted average benefit-cost ratios, when costs and returns are discounted at 0 and 3 percent, are 2.48 and 2.26, re- spectively. On a month-to-month and year-to-year basis, the industry has realized excellent returns from generic advertising and promotion programs. Over time, however, the supply response resulting from increased returns can erode prices and net returns. As illus- trated, avocados tend to exhibit cycles of production and prices; attractive returns from advertising can contribute to these cycles. This is the nature of the short-run versus the long-run returns to advertising when the industry does not control supply and there is ease of entry and exit. Nevertheless, generic avo- cado advertising and promotion has provided excel- lent producer returns in both the short run and the long run. V TABLE OF CONTENTS INTRODUCTION 1 THE CALIFORNIA AVOCADO INDUSTRY 2 Acreage Trends 2 Avocado Varieties 3 Location of Production 3 Stinactiare of Production 4 Asset Values 4 AVOCADO SUPPLY - 6 Average Avocado Yields 6 Acreage Response 8 Empirical Estimates of Acreage Response 11 Conclusions 15 THE DEMAND FOR CALIFORNIA. AVOCADOS 16 Characteristics of the Demand for California Avocados Over Tune 16 Other Factors Explaining the Demand for California Avocados 18 Advertising and Promotion 22 AN ECONOMETRIC MODEL OF ANNUAL AVOCADO DEMAND 25 Model Specification 25 Data Issues 26 Model Estimation and Testing 27 Further Tests of the Classical Box-Cox Regression Model 30 Conclusions 30 AN ECONOMETRIC MODEL OF MONTHLY AVOCADO DEMAND 32 Seasonal Sales and Prices 32 MONTHLY DEMAND MODEL SPECIFICATION 34 Data Series 34 The Advertising Variable 34 Model Estimation and Testing 35 Simultaneity of Supply and Demand 36 Statistical EHagnostics and Tests 36 Estimation Procedure 37 Estimation Results 37 ANALYSIS OF ADVERTISING BENEFITS AND COSTS 40 Analytical Model of Supply and Demand 40 AVOCADO SUPPLY RESPONSE 42 CONCLUDING COMMENTS 47 APPENDIX TABLES 48 REFERENCES 65 vii LIST OF FIGURES Figure 1. California Avocado Acreage by Category, 1920-1995 2 Figure 2. CaHfomia Avocado Production by Variety, 1962-94 4 Figure 3. Average Annual Yields for California Avocados, 1925-95 6 Figure 4. Average Annual Avocado Yields by Variety, 1962-92 9 Figure 5. Annual Change in Bearing Acreage of California Avocados, Actual versus Predicted, 1953-95 14 Figure 6. Bearing Acreage of California Avocados, Actual versus Predicted, 1953-96 14 Figure 7. Average Annual Price of California Avocados in Nominal (A) and Real (B) Cents per Pound (1995=100) 17 Figure 8. Annual CaUfomia Avocado Production and Average Real Price (1995=100) 18 Figure 9. Gross Annual Value of California Avocado Crop in Nominal (A) and Real (B) Dollars 19 Figure 10. U.S. Disposable Income per Capita in Real Dollars (1995=100) 20 Figvu-e 11. Total Annual U.S. Avocado Production by State, Plus Imports 20 Figure 12. California Avocado Shipments by US Regional Destination, 1994-95 Crop Year 21 Figure 13. CaUfomia Avocado Industry Annual Marketing Expenditures in Millions of Nominal (A) and Real (B) Dollars (1995=100) 23 Figure 14. California Avocado Industry Armual Marketing Expenditures by Category, 1986-95 24 Figure 15. CaUfomia Avocado Industry Annual Advertising by Media Type, 1976-94 24 Figure 16. Hypothetical Market Response to Advertising 29 Figure 17. Seasonal Index of California Avocado Sales and Average Price, 1986-1995 33 Figure 18. Monthly Shifts in California Avocado Demand 39 Figxire 19. An Economic Model of Avocado Supply and Demand 41 Figure 20. Long-run Avocado Supply and Demand With and Without Assessments 41 Figure 21. A Recursive Simulation Model of CaUfomia Acreage, Production and Prices 43 Figure 22. CaUfomia Avocado Bearing Acreage, Actual and Simulated With and Without Advertising, 1962-95 44 Figure 23. Estimated California Avocado Acreage Response to 10 Percent Price Increase: One Shot in Year Zero and Permanent 44 Figure 24. Estimated Short-run and Long-run Benefit-Cost Ratios, 1961-62 through 1994-95 Crop Years 45 viii LIST OF TABLES Table 1. Total California Avocado Acreage by Variety, 1950-1990 3 Table 2. California Avocados, Distribution of Farms by Acres Harvested, 1992 5 Table 3. Estimated Annual Average Yield Equations for California Avocados 7 Table 4. Estimated Annual Acreage Response Equations for California Avocados 12 Table 5. Definitions of Variables Used in Annual Demand Model 26 Table 6. Definitions of Variables Used in Monthly Demand Model 35 Table 7. Estimation Results for Monthly California Avocado (Inverse) Demand Model 38 ix LIST OF APPENDIX TABLES Appendix Table 1. California Avocado Acreage by Category, 1920-1995 48 Appendix Table 2. California Avocado Acreage by County and Area, 1950-1990 49 Appendix Table 3. California Avocado Average Yields per Acre, 1925-1995 50 Appendix Table 4. New California Avocado Plantings Reported the Year of Planting and Up to Eight Years Later, 1950-1992 51 Appendix Table 5. California Avocado Acreage by Category, Plantings and Removals, 1950-92 52 Appendix Table 6. Data Used in Annual Avocado Demand Model 53 Appendix Table 7. Monthly Sales and Average F.O.B. Prices for CaUfomia Avocados 55 Appendix Table 8. Monthly Shipments of Florida and Imported Avocados 56 Appendix Table 9. Macroeconomic Data Used in the Monthly Demand Analysis, CaUfomia Avocado Crop Years 1985-88 57 Appendix Table 10. Bearing Acreage of California Avocados: Actual and Simulated With and Without Advertising, 1961-62 through 1994-95 60 Appendix Table 11a. Estimated Annual Short-Rtm Benefit/Cost Ratios From Avocado Advertising, 1961-62 to 1994-95 61 Appendix Table lib. Estimated Long-Rim Benefit/Cost Ratios From Avocado Advertising, 1961-62 to 1994-95 62 Appendix Table 11c. Estimated Long-Run Benefit/Cost Ratios From Avocado Advertising for the Producers' Share of Costs, 1961-62 to 1994-95 63 Appendix Table lid. Projected Long-Rim Benefit/ Cost Ratios From Avocado Advertising, Producers Pay All Costs and Producers Share Costs, 1995-96 to 2014-15 64 INTRODUCTION The objective of this study is to determine the effect of Cahfomia avocado industry advertising and promotion expenditures on the demand and price for CaUfomia avocados and to estimate the ratio of benefits to costs for marketing programs conducted by the CaUfomia Avocado Commission. These marketing activities, which were initiated imder a CaUfomia state marketing order program in 1961, continue to be ftmded by mandatory as- sessments on aU Califomia avocado producers. The report focuses on two questions: (1) the impact of marketing expenditures on the demand and price for CaUfomia avocados, and (2) whether net rev- enues to producers resulting from the program have increased enough to offset the program costs. Answering these questions requires specification and development of a detailed econometric model of the Califomia avocado industry that includes components for market demand and supply re- sponse over time. The organization of the report is based on the steps taken to formulate answers to the research questions. The initial step was to assemble a complete and reU- able data base for the analysis. Using this data base, we docimaent the changing pattems of avocado acre- age, yields, production, and varieties that represent the supply side of the industry, and then estimate a model of industry supply response consisting of ex- pressions for bearing acreage and average yields. The analysis of supply is f oUowed by a description of the demand for avocados that discusses prices and con- sumption and presents time-series information on important demand shifters, including income, popu- lation, and advertising programs. An annual model of avocado demand is then estimated and relevant flexibilities and elasticities of demand are presented. The annual demand model is supplemented with a monthly analysis of demand based on the most re- cent nine-year period. The estimated supply and demand relationships are used to simulate the economic benefits and costs of the avocado industry advertising and promotion program. The first step is to use estimated annual avocado prices both with and without advertising to derive net short-run returns to advertising and pro- motion. Then, the acreage response relationship is used to derive an estimate of long-run retums that accounts for the impacts of producer supply response over time to the price impacts of advertising and pro- motion. 1 THE CALIFORNIA AVOCADO INDUSTRY Avocados are an important and high value fruit crop with annual sales revenue ranking well within the top ten CaUfomia fruit and nut crops. California produces 85 to 95 percent of the annual U.S. avocado crop, with Florida accounting for the remainder. The demand for avocados has grown over time as a result of growing consumer income, increasing population, and industry-sponsored advertising programs, and producers have responded by expanding planted acre- age and production. Bearing acreage, for example, remained under 25,000 acres imtil 1977 and total crop value did not exceed $25 million vmtil the 1972-73 crop year. Bearing acreage totaled 61,254 acres in 1994-95 (down from a peak of 76,307 acres in 1987-88), and, for the most recent 5-year period (1990-91 through 1994-95 crop years), California's annual avocado pro- duction and value averaged 345.5 million poimds and $194.4 million, respectively. Aroimd this trend, avo- cado production and prices vary substantially from year to year as a result of variable yields and inelastic producer-level demand. With inelastic demand, a large crop returns less total revenue to producers than does a small crop, other factors equal (the percentage decrease in price is greater than the percentage in- crease in quantity). Avocado producers tend to ex- hibit extrapolative expectations behavior when making crop investment decisions. They respond to recent crop returns, expanding acreage and produc- tion when returns have been favorable for several years and decreasing acreage when recent returns have been low. Acreage Trends Avocado production in California has a history extending from 1856, when the first avocado tree im- ported from Nicaragua was planted near Los Ange- les. During the 1880s and 1890s, varieties were being imported from Mexico and seedlings were being grown. The beginning of a commercial industry is placed at about 1910; by the 1919-20 crop year there were 280 bearing and 235 non-bearing acres of avoca- dos recorded in California (Appendix Table 1). Since 1920, the California avocado industry has experienced three periods of expansion, with decreases in bearing acreage following each expansion. As shown in Fig- ure 1, bearing acreage of avocados increased steadily from 280 acres in 1919-20 to 13,565 acres in 1946-47. After a brief pause, bearing acreage again began to grow through the 1950s, reaching 21,921 acres in 1964. Increased new plantings from 1968 through the 1970s fueled an expansion in bearing acreage from 20,715 acres in 1974-75 to a peak of 76,307 acres in 1987-88. Lower avocado prices as a result of increased produc- tion in the 1980s, limited availability of suitable land, increased urban pressures, high land costs, and high water costs combined to reduce new plantings and bearing acreage after 1987. The most recent estimate, based on an aerial survey conducted during the 1994- 95 crop year by the Califomia Avocado Commission (CAC), reports 1994-95 bearing acreage at 61,254 acres. The CAC estimated 1995-96 bearing acreage at 59,577 acres after adjustments to the survey data for forecast additions to bearing acreage and removals. Avocado Varieties More than 20 varieties of avocados have been pro- duced commercially in Califomia since 1950. Of these, four have had recorded acreage of more than 1,000 acres during any crop year and three others have had more than 500 acres. The four varieties with over 1,000 acres include Bacon, Fuerte, Hass, and Zutano while the three with 500 but less than 1,000 acres include Pinkerton, Reed, and Rincon. The relative importance of particular varieties has changed significantly over time, as shown in Table 1. The Fuerte share of total acreage decreased steadily from almost 79 percent in 1950 to just over 10 percent in 1990. It was largely replaced by the Hass variety, which increased from 15.5 percent of total acreage in 1960 to over 71 percent in 1990. In general, the Hass variety has two signiti- cant advantages over other varieties; it typically has the highest average yields and the highest average prices per poimd. Other varieties, however, have dif- ferent seasonal patterns of production and may be better suited to particular locations. The Bacon variety's share of total acreage increased from 2.5 per- cent in 1960 to 11.3 percent in 1980 and then decreased to 9.1 percent in 1990. Zutano acreage had a pattern similar to that of Bacon, increasing from almost 3 per- cent in 1960 to almost 9 percent in 1980 and then de- creasing to 5.5 percent in 1990. There was a change in the varietal composition of production associated with the acreage changes de- scribed above. Data on avocado production for three variety categories (Fuerte, Hass and Other) illustrates the shifts occurring. As shown in Figure 2, the Fuerte variety often accounted for the majority of produc- tion from 1962 through 1968, but then its share of to- tal production decreased steadily to less than 5 percent in 1994. The Hass variety's share of total production expanded rapidly from just over 21 percent in 1962- 63, to over 83 percent in 1994-95, with the increase coming at the expense of the Fuerte and Other vari- ety categories. The Hass variety's increased share of total production was due to its increased share of to- tal acreage and its above-average yields. Location of Production Because of weather constraints, Califomia avocado production tends to be concentrated near the coast in Southem Califomia and in micro-climates that have a low incidence of frost. Commercial production dis- tricts used to describe the industry include the North Counties (Santa Barbara, Ventura and San Luis Obispo, the Midr ninf^^ I'nHev fr»r all ifomc ^IQRO-RA — ^^^^ real cents per pouna 51.286 24.834 per capita sales of Cabfomia avocados during the marketing year pounds per capita 1.0120 0.5888 per capita sales of Florida avocados during the marketing year poimds per capita 0.1862 0.0705 per capita imports of avocados during the marketing year pounds per capita 0.0327 0.0484 \ U.S. per capita disposable income deflated by the coristuner price index for aU items (1982-84=100) thousands of real dollars 10.457 1.7392 A. annual avocado advertising expenditures deflated by the consumer price index for all items (1982-84=100) miUions of real doUars 3.7405 1.7655 Notes: variables consist of 33 annual observations, 1962-94, based on a California crop year with timing adjustments as per discussion in text; data sources given in Appendix Table 6. ment used for advertising varied by year, and there was carryover of funds from year to year. Thus, we assume that the advertising can be treated as an ex- ogenous or predetermined explanatory factor. The annual demand model therefore assumes that price is not jointly determined with any of the explana- tory variables, in the same period, and that simulta- neous equations methods are not needed in estimation. Statistical tests of this assumption are dis- cussed below. Data Issues A potentially serious problem has to do with the compatibility of the various series in the data set. California price, quantity, and advertising data are reported on a California crop year basis (November through October); Florida price and quantity infor- mation is reported on a Florida crop year basis (April through March); the import data are reported on vary- ing annual bases (see the footnotes for Appendix Table 6); and the CPI, income, and population data are re- ported on a calendar year basis. Since the demand relationship is defined for a particular time period, these timing mismatches imply an error in model specification. To deal with this complication we first specify that the California crop year is the standard to which the other data should be matched. Since the CPI, income, and population series change rather smoothly from year to year and coincide with the CaHfomia crop year except for two months, they are asstuned to be acceptably matched with the corre- sponding year ending each California season. Thus, the Florida and import data appear to pose the main difficulties. Shipments of Florida avocados by month were available for the 1984-85 through 1993-94 crop years. Using this information it was fovmd that, on average, 38 percent of Florida shipments in a given Florida crop year coincided with the corresponding California crop year. For example, approximately 61 percent of Florida's 1984-85 shipments occurred between April 1 and October 31, 1984, while 39 percent occurred be- tween November 1, 1984, and March 31, 1985 — there- fore, 61 percent coincided with California's 1983-84 crop year while 39 percent coincided with California's 1984-85 season. Since the break-down for Florida shipments is not known for seasons prior to 1984-85, three separate Florida quantity variables were considered in the analysis. The first Florida quantity variable matches California and Florida observations according to the stated year; e.g., the Horida 1994-95 data is matched with California 1994-95 data. The second Florida quantity variable matches each Florida observation with the stated prior-year Cabfomia observation; e.g., Florida 1994-95 data is matched with California 1993- 94 data. For a third option we constructed a new Florida quantity variable by attempting to divide each observation on Florida production into some that be- longs with the current and a remainder that belongs with the prior California crop year. This can be done precisely for those years in which monthly data are available (1984-85 through 1993-94). For other years the percentage of each Florida observation belonging with the corresponding California observation was estimated by averaging the observed percentages in the 1984-85 through 1993-94 period; thus, 38 percent of each Florida observation was assimaed to match with the corresponding Calif orrua crop year, while the 26 remainder was assumed to match with the prior Cali- fornia crop year. Note that one observation is lost with the second and third options. All three Florida quantity variables were used in the econometric model development. Surpris- ingly, the main conclusions did not change when different Florida quantity variables were used. Econometric results presented below are based on the second option (each Florida observation is matched with the stated prior-year California ob- servation). It is important to note that each of the Florida quantity variables suffers from the errors- in-variables problem, which can have potentially serious implications for reliable econometric esti- mation. A test for the statistical importance of this difficulty is described below. The compatibility problem is not as significant for import data because: (1) much of the import data is more closely aligned with the California crop year, and (2) imports were a small portion of total supply in those years in which the reporting year did not line up closely with the California crop year (i.e., prior to 1977). Nevertheless, minor realign- ments were made in the import series using monthly data from 1988 through 1995 and a method similar to that described above for Florida quanti- ties. The adjusted annual import series is believed to coincide with California crop years exactly for the 1989-95 period, very closely for the 1977-88 period, and closely enough for practical purposes where nimabers in parentheses are t-statistics and the nimibers in brackets are the price flexibilities of de- mand with respect to the corresponding variables, evaluated at the data means. The estimated coefficients in Box-Cox models are of little interest since they apply to the transformed prior to 1977. It was therefore assumed to be an ac- ceptable variable. Model Estimation and Testing To estimate the annual demand model, a functional form that characterizes the general relationship de- scribed above must be specified. Since choice of func- tional form can have important impacts on the results (e.g., Alston and Chalf ant, 1991), we began by follow- ing Carman and Green (1993) in specifying an ex- tended Box-Cox model — which implies a quite general fimctional form. Thus, the empirical demand model initially assumed is given by Pc; - b„ + b^Qc; + b,Qf; + b3Qm;+ b,Y;+ b^A; + e, (S) where for each variable X,, X^* symbolizes the Box- Cox transformation defined as (X,^ -l)/XifX^O and InXj if A, = 0. The £, term is assumed to be a normally distributed random error with zero mean and con- stant variance (8, ~ N(0, a^)). Note that the Box-Cox model encompasses the two most common specifica- tions used in empirical analysis: ^ = 1 implies a linear functional form and X = 0 implies a log-linear func- tional form. Using annual data for the crop years ending in 1962 through 1994, the parameters of the assumed model. Pi (i = 0 to 5) and 7i, were estimated simulta- neously with a procedure based on a statistical good- ness-of-fit criterion (maximum likelihood), yielding the following results: (9) rather than the original variables. We therefore re- port the estimated price flexibilities of demand de- fined as the percentage change in price resulting from a one percent change in a given explanatory factor.^* For example, the estimated model implies that a one percent increase in advertising expenditures wiU re- Fc; = -15.68 - 5.61Qc; + O.SOQf,' - 2.00Qm; + 5.38Y; + 0.37A; + e, (-2.79) (-18.75) (1.38) (-2.08) (6.04) (1.65) [-1.21] [0.09] [-0.11] [2.89] [0.13] X = 0.39, = 0.94, D.W. = 1.45, For the general Box-Cox model, it can be shown that the price flexibility of demand with respect to one of the explaia- tory variables, say x, is given by \=^^^ where X is the estimated Box-Cox parameter for the dependent variable (y) and X is the estimated Box-Cox parameter associated with explanatory variable x. 27 suit in an approximately 0.13 percent increase in the price of California avocados, at average levels of price and advertising in the sample data. The coefficients on Qc^ Qm^ and have the ex- pected signs and are statistically significant at the 95 percent confidence level (or better). The coefficient on Qfj has the "wrong" sign — it was expected to be negative — ^but is not statistically significant. The co- efficient on A, has the expected sign but is not statisti- cally significant. The statistic implies that the estimated equa- tion generally fits the data well. However, the D.W. (Durbin- Watson) statistic suggests that the error term may be autocorrelated; if so, it does not satisfy the assimiptions vinder which the equation was estimated and, hence, there is a problem with the model. Since the value of the D.W. statistic is in the inconclusive range, a second test was performed which gave strong where, as before, numbers in parentheses are t-statis- tics and the numbers in brackets are the price flexibilities of demand with respect to the correspond- ing variables, evaluated at the data means. The first thing to note about these results is that the estimated flexibilities and t-statistics are very close to those estimated with the extended Box-Cox model; thus, our conclusions about both the economic and statistical significance of each explanatory variable are essentially the same. Moreover, the statistic indi- cates that the classical Box-Cox fits the data to basi- cally the same degree as the extended model. In a statistical sense, the key difference between the two models is that autocorrelation does not seem to be a problem with the classical Box-Cox. The D.W. statis- tic implies that the errors are not autocorrelated and the test of Savin and White (1978) confirmed this find- ing." These results suggest that incorrect functional form was the cause of autocorrelation in the extended evidence that the regression errors do exhibit a high degree of autocorrelation (Savin and White, 1978).^^ Seemingly autocorrelated errors can be the result of model misspecification (incorrect functional form or omitted explanatory variables) or the errors may ac- tually follow an autoregressive process. The former calls the entire model into question while the latter makes the conventionally calculated t-statistics in- valid. Thus, a remedy was sought. Examination of alternative functional forms found that a variation on the originally estimated Box-Cox model performed weU. Rather than all variables be- ing transformed by the "k parameter as in the first re- gression (called the extended Box-Cox model), the alternative model transforms only the dependent vari- able (called the classical Box-Cox model).^* The re- sults from estimating the classical Box-Cox model were: (10) Box-Cox regression, that the classical Box-Cox corrects the problem, and therefore that the latter is a better model. There is a possible difficulty with this conclusion however (which is the reason why we report both models). Contrary to the extended Box-Cox model, the estimated classical Box-Cox function implies that price increases at an increasing rate as the explana- tory variables increase. Thus, as the level of advertis- ing rises, each unit increase results in a greater change in price than did previous imit increases. Clearly, this fimctional form cannot prevail for all levels of adver- tising. Economic theory and common sense prescribe that there must be diminishing marginal returns to advertising after some point and, moreover, that the optimal level of advertising is in the range of dimin- ishing returns. If one assvimes that the avocado in- dustry is in equilibrium and behaving rationally, the extended Box-Cox regression model which exhib- Pc,* = 1.91 - 0.53QC, + 0.14Qf, - 1.23Qm,+ 0.nY,+ O.OIA, + (18.37) (-20.22) (0.70) (-2.96) (7.51) (1.53) [-1.33] [0.06] [-0.10] [2.77] [0.13] % = -0.23, R2 - 0.95, D.W. = 2.11, Following Savin and White (1978) the joint hypothesis of 1 unrestricted and r = 0 (the first-order autocorrelation coeffi- cient) was tested against the alternative of 1 and r both unrestricted yielding r = 0.84 and = 19.13. " Note that the classical Box-Cox model is not nested by the extended Box-Cox; hence, choosing between the two cannot be accomplished with straightforward tests on restrictions. Due to computational difficulties, we were unable to esti- mate the Box-Tidwell model, where every variable may have an unique transformation parameter and which therefore encompasses both Box-Cox models described here. " The joint hypothesis of A, imrestricted cind p = 0 was tested against the alternative of "k and p both unrestricted yielding p =-0.33 and = 1-04. 28 Figure 16. Hypothetical Market Response to Advertising 0 10 20 30 40 50 60 70 80 90 100 Units of Advertising its decreasing returns would be preferred. It is quite possible, however, that the CAC has been operating in the area of increasing returns because of previously limited information on the impact of its advertising on avocado prices. In other words, it may be extremely difficult for a commodity organization such as the CAC to determine the nature of returns to advertis- ing without detailed empirical analysis. A common hypothesis in the marketing research literature is that meirket response to advertising is S- shaped (e.g. Little, 1979; LiUen, et al., 1992). The con- cept is illustrated by the hypothetical market response function in Figure 16. Initially the market responds (e.g., price changes) slowly to advertising as low lev- els are applied. For levels of advertising below 50 imits, the market responds at an increasing rate; for levels of advertising above 50 units, the market re- sponds at a decreasing rate. By ICQ units, advertising has reached a saturation point at which more effort has negligible effects. Thus, the theory asserts that price can exhibit both increasing and decreasing mar- ginal returns over different ranges of advertising. Considering our estimation results from this per- spective suggests the possibility that advertising efforts in the California avocado industry over the 1962-94 time period were in the range of increasing returns (i.e., corresponding to advertising levels below 50 in Figure 16). If this is the case, then the appropriate model is the classical Box-Cox. However, while it may be appro- priate for past levels of advertising, it would not be applicable for higher and higher levels of advertis- ing. In addition, if it is believed that observed adver- tising expenditures are at or near optimal levels, then a regression model exhibiting constant or increasing re- turns is not satisfactory since the optimal advertising level must be in the region of diminishing returns.^ ^ Because of our particular interest in the effects of advertising, a third model was estimated which allowed both the dependent variable and the advertising variable to each have unique Box-Cox parameters, while all other variables were restricted to be untransformed (for computational feasibility). Many of the key results were quite similar to the other two models (model-fit statistics, precision of the parameter estimates, values of estimated elasticities at the data means, etc.). However, the estimated Box-Cox parameter associated with the advertising variable was very large (k^ = 31) implying an extremely convex functional form. We rejected the model because of the implausible imphcations of its extreme shape. Nevertheless it is worth noting that there is evidence to suggest that the price function should possibly be more convex with respect to advertising (i.e., exhibit greater increasing marginal retunis) than our current model indicates. Allowing for this increases the statistical sigiuficance of the advertising variable (i.e., yields larger t statistics on A,). In addition, it implies that advertising had generally less economic significance at historical levels (i.e., lower price flexibilities at most observed data points), but would have greater economic significance at higher levels. 29 Further Tests of the Classical Box-Cox Regression Model A number of statistical tests were performed to further examine the adequacy of the classical Box-Cox regression model. We report those results here with- out going into much detail. Note that all tests are con- ditional on the estimated model. First, recall from previous discussion that there was some concern about the statistical consequences of Qm^ and A, being, possibly, endogenous factors. A closely related issue is whether the measurement er- ror know to exist in the Qf, variable has important impUcations for the results. These questions were examined by means of the Hausman test (see Kmenta, 1986, pp. 365-66 and 717-18). A series of such tests were performed using alternatively constructed in- strumental variables. In aU cases, the results strongly supported our assumption that Qm^ and A^ can be treated as effectively exogenous factors. On the other hand, the results of testing for the seriousness of mea- surement error in Qf, (Florida avocado sales) were mixed. Since nothing more can be done to improve the Qf, variable at this time, we simply acknowledge the fact that measurement error may be a problem. A condition of the error term called heteroskedasticity is similar in nature and conse- quences to autocorrelation. Its presence means that the regression error does not have a constant variance across the range of the dependent variable. Heteroskedasticity can be caused by model misspecification or it can be a characteristic of the true data generating process. In either case, corrective measures are necessary. Our econometrics program generates a number of test statistics for heteroskedasticity (e.g., the Goldfeld-Quandt test, the Breusch-Pagan test, Harvey tests, etc.; see any econo- metrics textbook for a description). All were consid- ered and none suggested a problem with heteroskedasticity. Along with the specification tests implicitly con- ducted through examination of the error term, the RESET method was used to test the hypothesis that no relevant explanatory variables were omitted from the regression equation (Kmenta, 1986, pp. 452-54). The data did not reject the hypothesis. It is important to consider that the economic pro- cesses generating observed data may change fvmda- mentally at certain points in time (i.e., structural change). For example, over the time period covered by the analysis, structural changes may have occurred in the effect of advertising due to such things as ad- vertising media used, the nature of advertising copy, competitive conditions, and consvmier response. For empirical modeling, structural change implies that the appropriate regression coefficients, and possibly even functional form, may be different for different time periods. A time-varying parameters model, such as employed by Ward and Myers (1979), can be used to test for the effect of such changes. However, there was no "event" in the avocado industry that pointed to a specific point of potential change. A general test (i.e., a sequential Chow test) suggested the possibil- ity of structural change at or around 1974-75. How- ever, attempts to model the phenomenon using standard approaches produced inconclusive results. Finally, we note that it is reasonable to assume that the impacts of advertising extend over some period of time and, hence, that this dynamic response should be accounted for in the regression model. However, determination of the nature and duration of the lagged effect is difficult. Nerlove and Waugh (1961) used an average of advertising expenditures over the ten years preceding year t in their study of orange advertising. More recent research indicates that the carryover ef- fect is probably much shorter than ten years, and may, in fact, be less than one year. Clarke (1976) concluded that "90 percent of the aamulative effect of advertis- ing on sales of mature, frequently purchased, low- priced products occurs within 3 to 9 months of the advertisement." Reynolds, McFaul and Goddard (1991) investigated lagged advertising effects of up to six quarters for Canadian butter and cheese. They found optimum lag orders, determined by minimiz- ing Akaike's Final Prediction Error, of five quarters for cheese and one quarter for butter. Other authors have specified comparatively short lag structures. Kinnucan and Forker (1986) specified a Pascal distri- bution for a "goodwill" variable to capture the im- pact of current and past advertising expenditures and assimned that advertising expenditures contributed to goodwill for only six months. Ward and Dixon (1989) specified a twelve month, second-degree poljmomial lag model on advertising with both ends of the lag structure constrained to zero. Since the estimated model utilized annual data, one would expect littie carryover of advertising effects from one year to the next. As partial verification, a model including lagged effects of advertising was estimated. The estimated coefficients for one and two year lags were not statis- tically different from zero and, thus, variables for lagged effects of advertising were not included in the final model estimated. We do, however, expect to find lagged effects from advertising expenditures when moving to a monthly period of analysis. Conclusions While there are some theoretical concerns about the implications of increasing returns to advertising, the classical Box-Cox regression is our preferred 30 model. In most respects the model is statistically sovind and logically consistent. We therefore use the results from the classical Box-Cox regression model to draw inferences about the annual demand for California avo- cados during the period from 1962 through 1995. As expected, the model indicates that the quantity of avocados offered on the market is an important explanatory factor, having a precise, negative impact on price. The estimated price flexibility of demand of -1.33 (at the data means) indicates that the price elas- ticity of demand is approximately -0.75, implying avo- cado demand is inelastic as predicted. We expected Florida avocados to be competitive with CaUfomia avocados, with increased sales of Florida avocados having a negative impact on the price of California avocados. The coefficient on the quantity of Florida avocados, however, has a positive sign, but is not statistically different from zero. There are at least two possible explanatioris for this outcome. First, it might be the result of the data inconsistencies previously discussed in some detail. Second, it may be that the timing of Rorida shipments makes them sometimes competitive and sometimes complemen- tary with CaUfomia avocados within the same year. For instance, if Florida avocados tend to be in greater supply when California avocados are in relatively low supply, their availability may help keep cortsumers in the habit of purchasing avocados and hence have a complementary effect on California demand. More detailed data are needed to resolve this issue. Imports were foimd to have a statistically signifi- cant negative impact on California avocado prices. This indicates that foreign avocados compete directly with California avocados for consumer dollars. Dis- posable income was foimd to have a very large and significantly positive impact on avocado prices, indi- cating that avocados are a normal good. Finally, the classical Box-Cox regression model in- dicates that advertising has had a positive impact on California avocado prices. While the value of the t- statistic for the estimated advertising coefficient is rela- tively close to the critical value, it is not statistically sigriificant at the usual confidence levels (95 percent or better). This result does not lead to the conclusion that advertising is ineffective. Rather, it implies that, with the available annual data and assimied model, our estimates are not precise enough to conclude with 95 percent certainty that the advertising coefficient can not in fact equal zero. We believe that improved data will increase the precision of our estimates of the ef- fects of advertising. Because of the data limitations noted above, a sig- nificant effort was made to obtain monthly data on each of the variables examined in the annual model of demand. We were successful in obtaining a com- plete set of monthly observations for the most recent nine years (November 1986 through October 1995). In the next section we specify a monthly demand model for Califonua avocados and use these data to derive estimates of the model parameters. This will provide confirmation of the armual results and it should also improve the precision of some of our esti- mated coefficients.^^ 2' We alluded to possible problems with the data series on marketing expenditures. These problems include the changing composition and categories of expenditures included over time. For example, administration and marketing research are necessary expenditures, but neither are expected to directly affect demand. The relative importance of these and other similar categories of expenditures change over time, with the result being an advertising variable whose measure- ment is subject to possibly large unexplained variability. 31 AN ECONOMETRIC MODEL OF MONTHLY AVOCADO DEMAND A complete monthly data series for California avocado sales, prices, and advertising/ promotion expenditures was assembled for the nine-year pe- riod 1986-87 through 1994-95. When combined with data on consumer income, quantities of Florida and imported avocados, prices of possibly related goods, and brand advertising, these data can be used to estimate a monthly version of the previously estimated annual demand model for California avocados. A monthly analysis of the demand for California avocados, with emphasis on the impact of generic advertising and promotion, offers a number of poten- tial advantages over the just-completed annual analy- sis of demand. First, there should be a definite improvement in the quality of the data and in the pre- cision of the econometric estimates. The monthly data will be for a shorter time period when data collection procedures were improved, they wUl be much more consistent in terms of classification and measurement, and they will provide an increased number of obser- vations. Second, monthly data will permit more de- tailed analysis of issues such as the response to various types of marketing expenditures, and the carryover effects of avocado advertising and promotion. Third, monthly data will facilitate matching variables such as sales from different production areas, that did not match exactly with differing crop and marketing years. In the aimual analysis, it appeared that important re- lationships related to seasonality of supply by pro- duction area, possible seasonal demand, and varietal differences were masked by the annual data. There are, however, possible disadvantages to moving to a shorter time period. The most obvious is that a re- duced range of variation for the independent vari- ables, such as consimier income or prices, may reduce the statistical significance of some estimated coeffi- cients. Seasonal Sales and Prices Seasonal patterns of avocado production and sales in Califonua and other areas, combined with possible seasonal changes in demand, result in changing prices over the marketing year. Recent seasonal patterns of California avocado sales and prices are shown by the indexes in Figiu'e 17. An index of 1.0 is the monthly average for the 1987 through 1995 calendar years.^ As shown, average monthly sales tend to be at or above average for the first eight months of the year (January through August), with peak sales usually occurring in May, and below average for the last four months, with the lowest average monthly sales in No- vember The general, although not perfect, inverse relationship between sales and prices are evident in Figure 17. The lowest average prices typically occur in May, when sales are highest, and the highest aver- age prices tend to be in October, when sales are low, but a month before they are the lowest. Note that the decreasing prices with decreasing sales between Oc- tober and November are associated with a change in the varietal composition of sales. Sales of the Hass variety, which fetches the highest average prices, reach a seasonal low in November just as the sales of the other green skin varieties, which peak in December, are increasing. As noted earlier, the Hass variety now accoimts for over 80 percent of California avocado production. Seasonally, the Hass price is highest in November when sales are lowest, and it tends to be lowest in May, when sales are at their seasonal peak. The inverse relationship between seasonal sales and the price of all other varieties is also evident. Their average price is lowest in December when sales tend to be highest. We hypothesize that there is also sea- sonal variation in the demand for avocados. It is im- portant to incorporate these seasonal movements in the estimated demand relationship for avocados. The index of seasonal sales of California avocados for the nine-year period 1987 through 1995 was calcxilated by (1) computing monthly sales for each calendar year, (2) dividing monthly sales by average sales for each calendar year to derive an index of monthly sales for that year, and (3) summing the indexes over the nine-year period and dividing by nine to derive an average monthly index. The seasonal price index was developed using the same steps. 32 Figure 17. Seasonal Index of California Avocado Sales and Average Price, 1986-1995 MONTHLY DEMAND MODEL SPECIFICATION The specification of a monthly demand model for avocados is similar to the specification of annual de- mand, but with minor modifications required to ac- count for time-related differences and more detailed data. Thus, we begin by specifying the general monthly demand relationship: Pc, = f (Qc^ Qf,, Qm^ A, , BA, ,Y,, D, ,T,) (11) where for a specific month t, Pc, represents the aver- age f .o.b. price of California avocados, Qc, is the cor- responding per capita sales of California avocados, Qf,is per capita sales of Florida avocados, Qm,is per capita avocado imports. A, is advertising expenditures by the California Avocado Commission, BA, is brand advertising expenditures by CaHfomia avocado pack- ers, Y,is per capita disposable income, and P^ repre- sents prices of related goods. The variable D,, which was not present in the annual model, represents a row vector of monthly dvimmy variables, which allows the intercept of the inverse demand function to vary by month." These monthly shift variables accoimt for seasonal differences in demand not captured by the other explanatory variables, including such things as shifts in demand related to temperature or the avail- ability of related goods, differences in the number of days in some months, and possible changes in qual- ity over the season. A time trend variable, T,, was in- cluded to accoxmt for changing demand over time not captured by the other shift variables. As in the annual analysis, aU doUar-denominated variables are expressed in real terms using the con- svmner price index as a deflator. In addition, the quan- tity variables and income are given in per capita terms to accovmt for the effect of population on demand. The advertising variable is expressed in real terms but is not adjusted for population growth. Data Series Table 6 defines and describes the key variables available to estimate equation (11). The core data set consists of nine crop years of monthly observations (108 total observations), beginning November, 1986 and extending through October, 1995. A listing of most of the data utilized for the monthly analysis is included as Appendix Tables 7 through 9}* As shown in Ap- pendix Table 9, price indexes for goods thought to be related to avocados were available. However, initial investigation and subsequent testing, showed these price indexes had little or no explanatory power in the avocado demand relationship; therefore, variables represented by P^ were dropped from the model. Ini- tial investigation and testing of the brand advertising variable BA, also revealed that it added no explana- tory power in the avocado demand relatioriship and it was deleted from the model. The time trend vari- able, T,, was deleted for the same reason. The Advertising Variable Marketing expenditures by the California Avocado Commission were available by seven categories for the period November 1985 through October 1995. The categories and their shares of total expenditures are: consumer advertising, (41.6%); consumer promotion, (9.6%); trade advertising and promotion, (24.8%); foodservice, (11.8%); public relations, (6.7%); interna- tional promotion, (4.2%); and processed products, (1.3%).^ Attempts to isolate the separate effects of the seven different types of expenditures yielded disap- pointing results. Initial analysis using all seven cat- egories yielded statistically insignificant coefficients for several categories. This led us to group the seven categories into various sub-categories for further analysis. While the estimated coefficients for consumer advertising and consumer promotion were always positive and generally statistically sigiuficant at high cor\fidence levels, the estimated coefficients for the other categories were not. In fact, the variation in signs and magnitudes of the estimated coefficients from formulation to formulation indicated the possible presence of statistical problems with the separate cat- egories.^* Given the overall objectives of this study and our lack of confidence in estimates for separate categories of marketing expenditures, we aggregated the seven categories into a single variable for adver- tising and promotion. ^ Monthly dummy variables equal one if the observation is for the designated month and zero otherwise. " Confidential data on monthly CAC marketing expenditures by category are available directly from the Commission. ^ These percentages differ slightly from those noted with Figure 14 due to an additional year's data. ^ Some possible problems include multicollinearity, errors in classifying expenditures, and differing lag structures for the separate categories. 34 Table 6. Definitions of Variables Used in Monthly Demand Model Variable Definitiori Uruts Mean Value StDev Pc monthly average FOB price for all California avocados, deflated by the consumer price index (1982-84=100) real cents per poimd 63.81 28.36 Qc monthly shipments of all California avocados, divided by US population for the period poimds per capita 0.0989 0.0435 monthly shipments of all Florida avocados, divided by US population during the period poimds per capita 0.0139 0.0146 Qm monthly shipments of all imported avocados, divided by US population during the period pounds per capita 0.0089 0.0159 MA a moving average of monthly CAC expenditures for advertising and promotion, deflated by the consimier price index (1982-84=100) milHons of real doUars 0.3112 0.1795 Y US per capita disposable income, deflated by the consumer price index for all items (1982-84=100) thousands of real dollars 12.729 0.2921 T Monthly time trend variable that has a value of one for November 1986 and 108 for October 1995 month Notes: the core data set consists of 9 years of monthly observations beginning November, 1986 and extending through October, 1995 (108 total observations). It is reasonable to expect the effects of advertising and promotion to extend over several weeks or montiis and this dynamic response should be included in the regression model. The challenge is to deter- mine the relevant duration and the nature of these lagged effects. We expect the carryover effect of avo- cado advertising to be less than 12 months, given other research results.^ Because the precise nature and du- ration of the lagged effect is difficult to determine, our strategy was to do initicil model estimation and test- ing with a simple, moving-average lag structure and then expand the analysis of lagged advertising effects after developing a basic model. To that end, a nxmi- ber of moving average processes were considered. Of the alternatives, a three-month moving average, de- fined as: MA3. = (A,.j+A,., + A,.3)/3 (12) appeared to perform well. Moreover, the lag length implied by MA3, is consistent with related prior work (e.g., Kirmucan and Forker, 1986; Alston, Chalfant, Christian, Meng and Piggott, 1996). This lag struc- ture was therefore used to represent advertising ef- fects in our initial model development and testing. The appropriate lag structure is an empirical problem. Thus, after determining the variables to include in the final monthly price equation, we investigated a vari- ety of polynomial lag structures of up to 8 months as a replacement for MA3. Model Estimation and Testing In the annual model, we argued that crop year to- tal avocado quantities were predetermined by prior- period production decisions and events, such as weather, that were independent of the current-period price. Thus, single equation estimation methods were appropriate. For the monthly analysis, however, it is more likely that prices and sales are determined si- multaneously, since producers may be able to exer- cise some month to month control over harvest and shipment timing, depending on prices. If this is the case, a simultaneous equation system technique, ac- counting for a market process in which prices and quantities are determined jointly through the simul- taneous interaction of supply and demand functions, is required for estimation of monthly demand. " These studies by Clarke (1976), Reynolds, McFaul and Goddard (1991), Kinnucan and Forker (1986), and Ward and Dixon (1989) were reviewed earlier. Recall that the annual analysis of avocado demand examined possible advertising lag effects of one and two years, but found that neither was statistically significant. Simultaneity of Supply and Demand The hypothesis that avocado quantities are exog- enous in equation (1) was examined by means of the Hausman test. To conduct the test, a set of instru- mental variables was identified and assembled, con- sisting of the following:^* (1) all of the assumed exogenous variables in the demand equation, includ- ing the monthly dimimy variables; (2) variables indi- cating the total quantities of California and Florida avocados produced in the (respective) crop year cor- responding to each monthly observation;" and (3) lagged values of all endogenous and exogenous vari- ables. The number of potential instrumental variables identified is quite large, since lags of different lengths might be considered. The set was narrowed by re- gressing each quantity variable on a mmiber of po- tential instruments, and selecting those with the greatest explanatory power. (In general, a linear com- bination of good instrumental variables should be highly correlated with the possible endogenous fac- tors.) Using different numbers and combinations of in- struments, and different functional forms for f( ), the Hausman test clearly rejected the hypothesis that Qc is exogenous. This result suggests that California avo- cado growers do respond to price in the timing of their harvests and shipments, and the effects show up in data reported on a monthly basis. The results of Hausman tests were somewhat ambiguous concern- ing the quantity variables for Florida and imports (Qf and Qm), depending on the test specification. Never- theless, the majority of the tests rejected exogeniety of both Qf and Qm and we therefore conclude that all quantity variables should be treated as endogenous. Statistical Diagnostics and Tests The presence of endogenous explanatory variables, which requires the use of simultaneous estimation techniques, substantially complicates the analysis. For instance, their presence means that it is not possible to obtain completely xmbiased estimates of equation (11). It is important to note that the techniques used to estimate and test the model yield approximate re- sults for finite sample sizes, with the accuracy of the approximation increasing with the size of the sample. "ITierefore, our stiategy was to estimate equation (11) in a number of different ways and report those results that appear plausible. We are fortunate that having monthly data provides a relatively large sample. Equation (11) was estimated with an instrumental variables (IV) method, which gives consistent (i.e., tending toward the true value as the sample size gets larger) parameter estimates. Because functional form tests, such as the Box-Cox described in the annual analysis, are difficult to implement with an IV esti- mation method, we considered four distinct functional forms: (a) linear, (b) log-linear, (c) semi-log (i.e., only the dependent variable tiansformed), and (d) a Box- Cox tiansformation of the dependent variable, using X = -0.23, as estimated for the annual model. An important consideration with the IV estima- tion method concerns the ntmiber and set of instru- ments to use. In general, the set of instruments chosen defines a tiadeoff between (finite-sample) bias and efficiency — a larger number of instruments yields more efficient estimates (i.e., estimates with a smaller variance), but also yields estimates that are more bi- ased. In consideration of this fact, all IV regressions and tests were performed with at least two different sets of instruments, one with more instrumental vari- ables and one with fewer, for comparison. A large discrepancy between estimates from the two regres- sions would suggest that the model may have poor finite-sample properties. The initial IV regression models were tested for serial correlation and heteroskedasticity with the methods described in Davidson and MacKiimon (pp. 369-71 and 560-64, respectively).^ Results were as fol- lows for each fimctional form considered: (a) Linear Model: no serial correlation significant heteroskedasticity (b) Log-linear Model: significant AR(1) errors no heteroskedasticity (c) Semi-log Model: no serial correlation significant heteroskedasticity (d) Box-Cox Model: no serial correlation significant heteroskedasticity Because each model tested positive for one prob- lem or the other, final estimates were obtained with a generalized method of moments technique, a varia- tion on the IV method which is able to accoimt for the indicated problems with the error terms. In the case of heteroskedasticity. White's heteroskedasticity-con- ^ In brief, instrumental variables are variables that are known (or believed) to be exogenovis, yet are correlated with the potentially endogenous variables (see, for example, Kennedy, 1992, pp. 136, 159 and 169). " These are valid instrumental variables since crop-year-total quantities are assumed to be predetermined. ™ Tests were performed for AR(1), AR(2), AR(3), and similar moving average, error processes. 36 sistent covariance matrix estimator was used to cor- rect for heteroskedasticity (Davidson and MacKinnon, Chapter 17). The models were initially estimated with three quantity variables, Qc, Qf and Qm. The estimated coefficient for imports was always much larger than the coefficients for California and Florida quantity. We then tested restrictions on the quantity variables us- ing a method analogous to the standard likelihood ratio test, as described by Newey and West (1987). The hypothesis. Ho: Qc = Qf = Qm, was clearly rejected and the hypothesis. Ho: Qc = Qf, was not rejected. Based on these tests, the final regressions were esti- mated with two quantity variables, Q = Qc + Qf and Qm. Estimation Procedure Inverse monthly demand equations were esti- mated using each of the specifications discussed above. While the linear and semi-log specifications each provided reasonable parameter values and theo- retically correct signs, the linear model results were statistically superior. Results for the log-linear model were clearly inadequate on at least two counts: first, a number of estimated parameter values were implau- sible, with theoretically incorrect signs; and second, the model was rejected by the J-test of overidentifying restrictions, a test of general model specification for IV regressions.^^ The Box-Cox model results were very similar to those of the semi-log model. The final step in estimating the demand function was to determine the appropriate lag structure for the advertising variable. Tlie method used to select the lag structure and formulate the advertising variable follows: 1. The model was estimated with every combination of polynomial lags of degrees 2, 3 and 4 for lags extending up to eight months. It was clear from the results that longer lags were not appropriate. 2. For each estimated model, a single weighted-mov- ing-average advertising variable was constructed, with the weights derived from the estimated coef- ficients (normalized to sum to one). 3. The model was then re-estimated using each of the moving average variables constructed in step 2. The J-statistic for each equation was used as the criterion for selecting the lag length. The J-statis- tic is (1 /n) times the optimal value of the criterion function that is minimized to derive the GMM es- timates. It is therefore analogous to SSE and can be used to compare equations as long as every- thing is the same except for the weights used to form the advertising variable. For the equations estimated, the J-statistic was minimized with a 2nd degree polynomial and a lag length of five months. The weights used to construct the advertising vari- able were as follows: Month Lag MAS Weig hts 0 .0000 1 .0274 2 .2133 3 .2996 4 .2863 5 .1734 Estimation Results The estimated monthly inverse demand equation for CaHfomia avocados using the above weights for the advertising variable is reported in Table 7. The signs on the coefficients are as expected and most are statistically significant. Since our emphasis is on evaluation of the impact of advertising and promo- tion, we are particularly interested in the estimated advertising coefficient. Note that the advertising coefficient is statistically significant at the 95% level.'^ The hnear form of the equation implies the existence of coT\stant returns to advertising; an alternative formulation using the square root of the advertising variable provided simi- lar results but the estimated coefficient was not sig- nificant at the 95% level. The estimated price flexibility of advertising at mean values is 0.137, a value that is very close to the earlier annual estimate of 0.13. This result verifies and strengthens the results from the annual analysis of demand. We conclude that CAC advertising expenditures have increased the demand (and prices) for California avocados. There is a strong and statistically significant inverse relationship between monthly sales of domestically produced avocados (CaUfomia plus Florida) and the real f.o.b. price of California avocados. Imported avo- cados substitute for California avocados on a monthly basis, with increased import sales having a negative impact on the price of CaHfomia avocados. Note that 5' The J-test statistic is distributed as a Chi-squared, with degrees of freedom equal to the number of overidentifying restrictions. ^2 An equation using a three-month lagged advertising variable was not selected because of a higher J-Test value (1 .03), but the coefficient on the advertising coefficient was significant at the 2% level. 37 Table 7. Estimation Results for Monthly California Avocado (Inverse) Demand Model Variable Coefficients Q (CA+FL) -872.17* (-10.42) Qm (Imports) -1,776.9* (-5.16) MAS 21.19* (2.07) Y 2.56 (0.28) MD2 -17.65* MD3 -6.51 MD4 -0.37 MD5 0.28 MD6 8.07 MD7 24.65* MD8 30.99* MD9 43.93* MDIO 61.77* MDll MD12 6.45 Constant 122.51 J-Test 0.78 (Overidentifying Restrictions) (3) Notes: Numbers in parentheses are asymptotic t ratios. To reduce notational clutter, t ratios are not shown for the coeffi- cients associated with the dummy variables and the constant term — asterisks indicate those coefficients that are significant at the 5% level or better. for equivalent amounts, the impact of imports is about tw^ice as large as is the impact of domestic avocados. The estimated monthly price flexibilities evaluated at the data means are: CaiLfomia and Florida quantity, -1.54; and imports, -0.25.'' There is also a positive but statistically insignificant relationship between per capita income and the price of California avocados. This lack of significance is not too surprising given the short time period and the small variation in in- come. The monthly dimuny variables isolate seasonal changes in demand (and prices) after accounting for seasonal patterns of production, imports, and adver- tising. AH of the estimated coefficients measure real price differences from the base of November (the first month of the marketing year). Those coefficients that are significantly different than zero at the 95 percent confidence level include December (MD2), and the five months from May through September (MD7 through MDll). The pattern of monthly shifts in demand is illustrated in Figure 18. As shovra, demand for Cali- fornia avocados is at the seasonal low in December. It then increases rather smoothly to a seasonal high in August and then decreases to the end of the crop year. " The comparable annual estimates from prior work were California quantity, -1.33; Florida quantity, 0.06; and imports, -0.10. 38 Figure 18. Monthly Shifts in California Avocado Demand 39 ANALYSIS OF ADVERTISING BENEFITS AND COSTS There are several approaches available for measur- ing estimated benefits and costs of the California avo- cado industry's advertising programs given the demand and acreage response equations developed in this study. Using either the annual or the monthly demand equations, one can develop short-run (within year) estimates of the benefits of increased demand due to advertising. These estimated annual or monthly benefits are then divided by actual annual or monthly costs to calculate average benefit-cost ra- tios. A ratio greater than one indicates that total re- turns from advertising were greater than the costs; the higher the ratio, the higher are the returns from ad- vertising. A positive benefit-cost ratio less than one indicates that advertising increased revenues but the increase was less than the costs. The short-nm benefit-cost ratios based solely on estimated demand do not accoimt for the lagged sup- ply response to short-run price improvements and thus, they tend to overstate the benefits from an ad- vertising program conducted over a long period of time. We combine the acreage response and annual demand equations to form a recursive model of sup- ply response and use this model to simulate annual total revenues over time both with and without the advertising program. The differences in total crop revenues measure advertising benefits which are then compared with aimual program costs. The short-run and longer-run benefit-cost ratios outlined above are averages of benefits and costs. The marginal response of revenues to additional adver- tising is also of interest since it indicates whether the industry had over- or imder-allocated funds to adver- tising. We will examine marginal benefit-cost ratios by increasing armual or monthly advertising expen- ditures by one percent and calculating the ratio of the change in benefits to the change in expenditures. Analytical Model of Supply and Demand The measurement of returns from advertising can be illustrated with the hypothetical supply and de- mand relationships shown in Figure 19. The armual demand curve for avocados without advertising is shown by the demand curve D. With an effective ad- vertising program, the demand curve D will increase (shift to the right) to E>^. Since avocado supply is es- sentially fixed for a given marketing year, as repre- sented by the vertical supply curve S, average prices increase from to Pj . Increased revenues (and prof- its) will encourage producers to expand acreage and, after a lag of several years, production. The lagged increase in production is shown by the outward shift of a fixed annual supply from S to S* . Because of sigruficant delays between the time a decision to ex- pand production is made and actual output is avail- able, higher prices to producers will persist during the early years of the advertising program. Then, as new trees reach bearing age, expanded production will shift the vertical supply curve to the right and prices wiU decrease from P^ to P^, as shown in the diagram. As illustrated, total revenue with advertising (the rect- angle OPjCQj) is greater than total revenue without advertising (the rectangle OP(,aQj). In this study, the short-run monthly or annual re- turns from advertising are measured by the rectangle PpPjba. The longer run returns from advertising, which account for the effects of supply response, are measured by the difference between total revenue with advertising and total revenue without advertising. The returns from advertising must be compared to the costs of advertising to evaluate the profitability of the program. There are two possible measxires of costs. The obvious measure is the total dollars spent on ad- vertising, which implicitly assumes that avocado pro- ducers bear all of the costs of the program. However, when the advertising cost is financed by a percentage assessment on total crop revenues at the producer level, some of the incidence of the assessment, over time, will fall on buyers through the operation of sup- ply and demand. A second measure of costs allows some of the costs to be borne by buyers, resulting in the producers' share of costs being less than actual expenditures. Figure 20 shows the same short-run supply (S) and demand curves D and as in Figiure 19. As noted, the vertical supply curve, representing a fixed supply for a given marketing year, will shift annually due to the lagged effects of new plantings and current remov- als. The long-run supply cxirve can be approximated at any point in time by drawing a line from the initial price-quantity equilibrium through the new price- quantity equilibrium. This is illustrated in the figure by the line LRS connecting the initial equilibrium at point a with a new equilibriimi on the demand curve at point c. The function LRS, however, does not include the producer assessment, which when intro- duced, shifts the supply function back to LRS', result- ing in a higher price for buyers (Pj), a lower net price to producers, and a smaller quantity produced and consimied (Qj). The amoimt of the price increase depends on the slopes of the supply and demand curves. When supply is fixed and uruBsponsive to price, as it is in 40 Figure 19. An Economic Model of Avocado Supply and Demand the short run, there is no increase in the price to buyers and all of the costs are borne by producers. The more responsive quantity supplied is to price (the more price elastic is supply), tiie sinaller will be the proportion of the assessment borne by producers. Our estimate of avocado producers' annual costs for the advertising program over the long run is the difference between total revenue before the assessment and total revenue after the assessment. 41 AVOCADO SUPPLY RESPONSE The price and change in bearing acreage equations estimated in the previous sections were combined into a recursive model of supply response. A diagram of the circular flow of calculated relationships in the model is shown in Figure 21. First, we entered initial values for lagged real total revenue and actual values for per capita disposable income, the consumer price index, the index of prices paid by farmers, popula- tion, average yield per acre, Florida avocado produc- tion, quantity of avocado imports, and advertising expenditures. Starting with these values, the model generated values for annual bearing acreage, average price per pound, and total revenue per acre for Cali- fornia avocados. As illustrated in Figure 21, bearing acreage multiplied by average yield determine Cali- fornia production. Total production is combined with demand factors to calculate the average price of avo- cados. The year-to-year change in bearing acreage was a function of profit expectations, which were based on lagged per acre total revenue (price multiplied by average yield) adjusted by the index of prices paid by farmers, and on avocado prices and the producer cost index lagged one year. A comparison of actual and simulated values for bearing acreage is presented in Figure 22. The actual peak bearing acreage was 76,307 in 1987 while the simulated peak was almost identical at 76,289 acres, but it occurred two years earlier in 1985. While the actual and simulated peak acreage are very close, the simulation model typically underestimated or over- estimated acreage during much of the period with the largest overestimated acreage being 5,260 acres in 1980 and the largest underestimated acreage being 1,903 acres in 1993. The average annual absolute difference between actual and simulated acreage was 1,390 acres (3.6 percent). Overall, the model did a very good job of tracing the total bearing acreage adjustments that occurred during the 1962 through 1995 period, with the difference in actual and simulated 1995 acreage being only 187 acres.^ To derive long-nm estimates of the impact of ad- vertising on production and prices of California avo- cados over time, the simulation model was rtm with zero advertising expenditures. Comparison of the simulated advertising and no advertising scenarios shows that advertising increased prices and per acre returns and that these improved returns led to expansion of bearing acreage and pro- duction. Simulated bearing acreage reaches a peak of 76,289 acres in 1985 with advertising and 71,819 acres during the same year without advertising (Appendix Table 10). As shown in Figure 22, the last observation of bearing acreage with zero advertising is 55,196 acres, 4,568 acres (almost 8%) less than with advertis- ing. Price Elasticity of Supply for California Avocados The long-nm supply curve for avocados is an im- portant component for estimating benefit-cost ratios for advertising, but defining the long-run supply curve is difficult because of the extensive lagged relation- ships between production and prices. The long-run industry supply curve shows the production or out- put (number of units) that will be placed on the mar- ket at all alternative prices, other factors equal. In the case of avocados, the supply response to a price change varies by year. This is illustrated in Figure 23 for two scenarios, a one-time, one-shot increase of 10 percent in average annual avocado prices in year zero, and a continuous increase of 10 percent in average armual prices. As shown by the lower Une, the supply re- sponse to a one time 10 percent price increase varies by year over time. There is no change in the quantity supplied until year 3, the maximum response is ap- proximately two percent in year 9, and the effect is negative after year 17 as a result of reduced prices when production was increasing. The supply re- sponse to a continual (permanent) 10 percent price increase is much larger. The maximvmi resporise of approximately 13 percent occurs in year 13 and then the percentage change in output decreases to about 4 percent in years 26 to 28 before again increasing. The maximum estimate of price elasticity of supply, which will vary by the year selected, is equal to 1.3. Annual Short-Run Benefit-Cost Ratios for Advertising The estimated annual demand relatioriship is used to estimate benefits from advertising in a year-to-year (short-run or fixed supply) framework by calculating price and total revenue for actual production each year both with and without advertising. Given the posi- tive coefficient for the advertising variable in the esti- mated demand equation, increased advertising results in higher average prices during a given crop year. ^ It is not unusual for models that simulate cumulative values of a parameter to diverge significantly from actual values as the number of periods increase. This model performed much better than is usual for the time period covered. 42 Figure 21. A Recursive Simulation Model of California Acreage, Production and Prices other factors equal. The short-run comparison of an- nual estimated prices with and without advertising indicated that advertising yielded positive net returr\s (the benefit/cost ratio was greater than one) for aU crop years beginning with 1965-66 (Appendix Table 11a). The short-run total benefit/cost ratio for adver- tising ranged from 0.76 to 0.93 during the first four years of the program (1961-62 through 1964-65) and then ranged from 1.32 to 14.37 during the remaining period of analysis, with a weighted annual average of 7.09 for the total period (Figure 22). Thus, each doUar spent on advertising increased average total sales rev- enue in the same year by $7.09, and after subtracting the cost of advertising, yielded a net return of $6.09. Readers will note that some of the largest returns are observed during the most recent eight years of the CAC advertising program. Since the costs and ben- efits of the advertising program change from year to year and accrue over time, when calculating returns it is more meaningful to account for changing price relationships and discount the stream of costs and benefits. Thus, the current costs and returns from advertising are restated in 1994-95 doUars in Appen- dix Table 11a, and these are used to calculate the present value of the program at discovmt rates of 0 and 3 percent. Note that the aimual benefit-cost ratio is the same in current or 1994-95 dollars. When advertising costs and returns are discounted at 0 and 3 percent, the ben- efit-cost ratios are 6.01 and 5.33, respectively. This fixed supply analysis does not fully accovmt for the supply response that could occur over time. 43 Figure 22. California Avocado Bearing Acreage, Actual and Simulated With and Without Advertising, 1962-95 Figure 23. Estimated California Avocado Acreage Response to 10 Percent Price Increase: One-Shot in Year Zero and Permanent -2.00 -4.00 -I — I— I — I — I — I — I — I — I — I — I— 1 — I — I — I — I — I — 1 — I — I — I — I— I — I — I — 1 — I — I — I — I — I — I — I — 1 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 Year 44 Figure 24. Estimated Short-run and Long-run Benefit-Cost Ratios, 1961-62 through 1994-95 Crop Years 22 20 18 O 16 ■■S 14 U 10 C 6 01 0 Short-run B/C Ratio Long-run B/C Ratio Long-run B/C Ratio; Producers Share -IT I 7^ A / I V -2 I I ■■ 1962 1966 -I — I — I — I — I — r — I — I — I — I — I — I 1970 1974 1978 Year -I — I — I — I — I — I — n 1982 1986 T 1 1 1 1 1 1 1990 1994 which may limit the applicability of the weighted av- erage based on summation across the years presented above. The acreages used were those actually occur- ring with advertising, but if advertising had been eliminated in 1975, 1985, or any other year, subsequent with-and-without advertising quantities would have changed. A simple average of the aimual fixed sup- ply benefit-cost ratios avoids the problems of adding up over time. This average, which is equal to 5.25, is close to the estimated aggregate short-term returns from advertising discovmted at 3 percent (B/C = 5.33). Monthly Short-Run Benefit-Cost Ratios for Advertising Short-run (fixed supply) benefits can also be esti- mated using the monthly demand relationship. Agaia, we calculate the difference in monthly price and total revenue due to advertising for actual monthly sales. Given the positive coefficient on advertising in the estimated demand equation, we know that advertis- ing expenditures increase average prices during a given month, other factors equal. Following the pat- tern used for the annual demand equation, we calcu- lated total monthly benefits and costs associated with CAC marketing expenditiires for the nine crop years 1986-87 through 1994-95 on both a current and dis- counted basis. In current terms, the total increase in revenues due to advertising and promotion for the nine-year period was just over $337 million. Total CAC marketing expenditixres during the same time period were just over $59 million. Ilius, aggregated benefits and costs yield a benefit/cost ratio of 5.71 for all CAC marketing expenditures dviring the most re- cent nine years. To provide a basis of comparison with the annual analysis, the aggregated monthly costs and returns from advertising are restated in October 1995 dollars and these are used to calculate the present value of the program at discovmt rates of 0 and 3 percent. The benefit-cost ratios for all CAC marketing expenditures over the 1986-87 through 1994-95 crop years, when costs and returns are discovmted at 0 and 3 percent, are 5.74 and 6.35, respectively. Note that these dis- counted net returns are close to those estimated for the 1961-62 through 1994-95 crop years using the an- nual demand equation. Because of the linear nature of advertising response in the monthly demand equation, the simple average of the monthly benefit-cost ratios and the simple av- erage of monthly marginal benefit-cost ratios is equal.^^ For the nine-year period of analysis, the monthly marginal and average benefit-cost ratios are equal to 8.92. The marginal benefit-cost ratios were greater than one for all but two months of the period, indicat- ing that the CAC could have profitably increased ad- vertising and promotion during all but two months of the rune-year period. ^ Alston, et al. (1998) derive a simple formula for approximating the benefits from a marginal increase in promotional expenditures. The formula, derived from the commodity demand function, is: where m is the marginal benefit, P is the product price and a is the advertising expenditure. 45 Long-Run Benefit-Cost Ratios for Advertising As documented in the acreage response analysis, producers expand acreage and production when re- turns are favorable and improved returns from ad- vertising expanded the acreage and supply of avocados. The short-run net returns from advertising, described above, were eroded over time by increased supplies stimulated by the earlier increased returns. Given flexible prices (inelastic demand), the increased production from more acres of avocado trees partially offsets the demand-enhancing effects of advertising. As illustrated in Figure 24, the long-rvm benefit-cost ratio was again less than 1.0 during the first four years of the program; then the ratio exceeded one from 1965- 66 through 1979-80; the ratio then dropped below 1.0 for the next five years and was even negative one year. The estimated benefit-cost ratio was greater than 1.0 in 1985-86, and for 7 of 9 years after that. The average benefit-cost ratio for the 34-years of the analysis was 1.89; the estimated increase in total industry revenue was $218.8 million and CAC marketing expenditures were $116.0 million. The long-run benefit-cost ratios, when costs and returns are discounted at 0 and 3 per- cent, are 1.78 and 1.71, respectively (Appendix Table lib). A simple average of marginal benefit-cost ratios for the same period, derived by increasing advertis- ing one percent during each year, is equal to 1.48. The marginal ratios tended to be less than one at the be- ginning of the period and greater than one at the end. For example, the average marginal benefit-cost ratio for the first 10 years of the analysis was 0.47 while the average for the last 10 years was 3.23. Just as increased demand stimulated increased production of avocados over time, industry assess- ments tended to decrease supply. The long nm im- pact of the adjustment to assessments for advertising is to shift a portion of the costs to buy- ers. Thus, long-rvm benefit-cost ratios estimated above tend to overstate the true costs of the pro- gram to producers. As noted earlier, we compute an estimate of the producers' share of costs by sub- tracting total producer revenue after the assessment from total producer revenue before the assessment. The results of this calculation are shown by year in Appendix Table 11c. The annual average benefit- cost ratio for the 34-years of the analysis was 2.84. The long-run benefit-cost ratios, when costs and re- turns are discounted at 0 and 3 percent, are 2.48 and 2.26, respectively. A Projection of Long-Run Benefit-Cost Ratios for Advertising A reviewer correctly noted that the long-run ben- efit/ cost ratios just presented do not accovint for all costs and benefits stemming from the most recent ad- vertising and promotion expenditures. Because of the extensive lagged relationships found in the avocado industry, it is not clear if future adjustments will tend to increase of decrease estimated benefit/ cost ratios. To obtain a measure of the future effects of recent ac- tions, we project industry total revenues both with and without advertising 20 years into the future.'* Then benefit/cost ratios for producers paying aU advertis- ing costs and producers sharing advertising costs with buyers are calculated. As shown in Appendix Table lid, the benefit/ cost ratio when producers pay all of the advertising costs increases from a low of 2.06 in 1998 to 5.14 in 2015. The benefit/cost ratio when pro- ducers share the advertising costs with buyers in- creases from a low of 5.02 in 1998 to 7.45 in 2015. Both of these ratios are higher than recent averages, indi- cating that the ratios for the study period did have time to stabilize and that large future costs to recent program actions are not a sigriificant problem. Over- all, the estimated long-nm benefit/cost ratios diiring the study period appear to be on the conservative side, whether the producers pay aU costs or share costs with buyers. Thus, returns for CAC advertising and promotion programs have been very attractive, regardless of one's perspective. On a short run, fixed supply, month-to-month and year-to-year basis, returns have typically averaged $5 to $6 for every $1 expended. These are the relevant returns to consider when mak- ing short-run decisioris on CAC advertising and pro- motion program expenditures. Over time, the supply response resulting from increased returns erodes prices and returns. This is the nature of the short-run versus the long-run returns to advertising when the industry does not control supply and there is ease of entry and exit. But, even in the long run, producers grossed over $1.70 for every dollar spent on advertis- ing and promotion since 1961-62. This increased to something over $2.26 for the producers' share of ad- vertising expenditures. ^ Future industry developments depend, of course, on the assumptions used for the variables in the simulation model. For this projection we used recent values for advertising ($4.47 million annually), imports (.18685 poimds per capita), Florida production (.1534 poimds per capita), consumer income (increased 1 percent aimually), population (increased 1 percent annually), and average per acre yields (6418 pounds per acre). 46 CONCLUDING COMMENTS This report presents the results of research directed toward examination of the effects of CAC advertising and promotion programs on the demand (and price) for California avocados over the period from 1961-62 through 1994-95. Aimual demand and supply re- sponse relahoriships were estimated, with generally good results as measured by standard statistical tests and concurrence with theoretical expectations. There were weaknesses with the estimated annual demand equation, however, that appeared to be due to the annual data utilized. The estimated coefficient for the quantity of Florida avocados, for example, was not sigpnificantly different from zero and it had an unex- pected positive sign. As indicated, we beUeve that different marketing and crop years for Califorrua, Florida and imported avocados was an important shortcoming with the data. There were also indica- tions of measurement problems with early advertis- ing and promotion expenditures. We collected and analyzed monthly data for the most recent decade to gain additional information on the nature of the em- pirical demand relationship for CaHf orrua avocados. The results of the monthly analysis generally con- firmed the annual analysis, but with improved statis- tical measures and tests. We found that the effects of Calif orrvia and Florida avocado sales on monthly Cali- fornia prices were essentially the same; we were also able to measure the effect of advertising and promo- tion with increased statistical precision. The similar- ity of estimated annual and monthly price flexibilities of demand makes us very confident that we have been able to accurately measure the important determinants of California avocado demand, and in particular, the effects of advertising and promotion expenditures. We follow the tradition of empirical economic analyses by noting that more research remains to be done. We were not able, for example, to isolate the separate impacts of various types of advertising and promotion expenditures on the demand and price of California avocados. We believe that carefully de- signed market experiments are required to best assess the comparative impacts of various programs. We were also forced to assume that dollar expenditures are a good measure of advertising efforts; that a dol- lar spent on a given program at a given point in time had the same impact as a doUar spent on any other program at any other time. This measurement prob- lem is common to many studies of commodity adver- tising that utilize secondary data. Monthly data on advertising expenditures were not necessarily matched with the month in which the advertising (or promotion) was commvmicated to the target audience. Future data collection must be aware of the need to match measures of advertising effort with the timing of program execution to derive improved estimates of the dynamic effects of advertising programs. Fi- nally, readers are reminded that the study results are for a specified past time period, and that while most of the estimated supply and demand relationships can reasonably be expected to continue in the near future, any projections using these relationships must be re- garded with caution. 47 APPENDIX TABLES Appendix Table 1. California Avocado Acreage by Category, 1920-1995 Year Bearing Nonbearirig Total Year Bearii\g Nonbearing Total Acres Acres Acres Acres Acres Acres 1920 280 235 515 1958 19,794 5,439 25,233 1921 . 310 289 599 1959 20,205 5,061 25,266 1922 350 380 730 1960 21,301 4,754 26,055 1923 400 520 920 1961 20,045 4,378 24,423 1924 450 809 1,259 1962 20,862 3,066 23,928 1925 490 1,382 1,872 1963 21,194 2,628 23,822 1926 560 1,789 2,349 1964 21,921 1,706 23,627 1927 690 2,437 3,127 1965 21,570 1,224 22,794 1928 860 3,599 4,459 1966 18,810 2,530 21,340 1929 1,210 4,888 6,098 1967 18,620 3,060 21,680 1930 1,830 6,069 7,899 1968 18,730 3,150 21,880 1931 2,310 6,550 8,860 1969 19,220 4,300 23,520 1932 3,040 8,572 11,612 1970 18,040 4,200 22,240 1933 4,217 9,000 13,217 1971 18,380 4,560 22,940 1934 5,609 9,196 14,805 1972 19,039 5,085 24,124 1935 7,307 7,993 15,300 1973 19,611 6,029 25,640 1936 8,622 6,304 14,926 1974 20,741 6,635 27,376 1937 10,179 4,097 14,276 1975 20,715 10,884 31,599 1938 11,226 3,240 14,466 1976 24,882 14,692 39,574 1939 11,471 2,667 14,138 1977 29,041 14,697 43,738 1940 11,930 2,541 14,471 1978 33,866 12,947 46,813 1941 12,132 2,636 14,768 1979 39,802 11,335 51,137 1942 12,285 2,863 15,148 1980 44,369 11,083 55,452 1943 12,399 2,995 15,394 1981 47,831 11,532 59,363 1944 12,756 2,490 15,246 1982 64,798 14,808 79,606 1945 13,077 2,812 15,889 1983 69,448 12,161 81,609 1946 13,403 2,884 16,287 1984 72,296 5,212 77,508 1947 13,565 3,478 17,043 1985 72,861 2,208 75,069 1948 12,765 4,443 17,208 1986 74,131 1,266 75,397 1949 11,855 6,254 18,109 1987 74,812 521 75,333 1950 11,292 7,131 18,423 1988 76,307 4,142 80,449 1951 12,008 8,464 20,472 1989 75,062 3,083 78,145 1952 12,579 9,108 21,687 1990 73,368 2,395 75,763 1953 13,566 9,135 22,701 1991 71,007 1,126 72,133 1954 15,040 8,023 23,063 1992 69,582 819 70,401 1955 16,292 6,709 23,001 1993 68,159 644 68,803 1956 18,036 5,127 23,163 1994 66,865 505 67,370 1957 19,119 5,348 24,467 1995 61,254 987 62,241 Source: Data from 1920 through 1955 are from California Crop and Livestock Reporting Service, Special Publication 261; data from 1956 through 1987 are from California Agricultural Statistics Service, armual issues; data from 1988 forward are from California Avocado Commission. 48 Appendix Table 2. California Avocado Acreage by County and Area, 1950-1990 Counties 1 Q<^^ 19f^S 1970 1975 1980 1985 1990 San Diego 11,474 13,712 13,616 11,798 12,920 18,463 24,254 36,843 36,402 Mid-counties Los Angeles 2,837 2,754 2,610 2,010 1,260 517 986 615 602 Orange 2,417 2,617 2,842 1,424 910 1,136 2,065 1,675 1,471 . Riverside 228 351 511 427 590 4,546 8,737 8,518 8,487 San Bernardino 71 87 179 120 110 151 136 126 220 Subtotal c ceo 7 870 6,350 11,924 10,934 10,780 North Counties Santa Barbara 748 1,446 1,646 2,281 2,770 4,369 6,210 7,730 8,029 San Luis Obispo 0 1 1 1 0 502 1,049 804 1,245 Ventura 1,171 2,179 2,927 2,720 3,460 8,557 13,681 16,596 16,459 Subtotal 1,919 3,626 4,5/4 95 733 San Joaquin Valley Fresno 2 2 7 39 180 261 382 418 312 Tulare 1 0 48 65 230 888 1,658 1,802 1,179 Kern 0 0 0 0 0 113 127 173 14 Subtotal 3 2 55 104 410 1,262 2,167 2393 1305 Other 16 14 36 11 180 71 78 97 118 TOTAL 18,965 23,163 24,423 20,896 22,610 39,574 59,363 75,397 74,538 Source: California Agricultural Statistics Service, California Fruit and Nut Acreage, Annual Issues. 49 Appendix Table 3. California Avocado Average Yields per Acre, 1925-1995 Year Ave Yield Year Ave Yield IDS / acre 1925 531 1961 3542 1926 821 1962 4793 1927 1797 1963 3775 1928 744 1964 4270 1929 1901 1965 2225 1930 437 1966 6167 1931 1861 1967 8002 1932 1711 1968 3994 1933 806 1969 6358 1934 891 1970 3659 1935 2546 1971 7291 1936 1206 1972 2731 1937 1218 1973 7180 1938 944 1974 5149 1939 2598 1975 10186 1940 1308 1976 4694 1941 2407 1977 8264 1942 3028 1978 6319 1943 2516 1979 6181 1944 3340 1^ 3381 1945 1774 1981 9952 1946 3581 1982 4846 1947 2728 1983 5817 1948 2914 1984 6833 1949 2429 1985 5490 1950 2745 1986 4317 1951 3731 1987 7432 1952 4452 1988 4693 1953 3420 1989 4391 1954 2832 1990 2834 1955 5549 1991 3824 1956 2218 1992 1957 1653 1993 8360 1958 4678 1994 4053 1959 5098 1995 4966 1960 6572 Source: Data from 1920 through 1955 are from California Crop and Livestock Reporting Service, Special Publication 261; data from 1956 through 1987 are from California Agricultural Statistics Service, annual issues; data from 1988 forward are from California Avocado Commission. 50 Appendix Table 4. New California Avocado Plantings Reported the Year of Planting and Up to Eight Later, 1950-1992 Avocado planting in year t that was standing in year t t+1 t+2 t+3 t+4 t+D t+D 1+/ t+8 1950 706 848 878 2023 2063 2059 2257 2160 2044 1951 688 772 1691 1792 1714 1870 1911 1843 1868 1952 238 982 1436 1468 1642 1838 1641 1621 1522 1953 551 988 1026 1175 1570 1327 1375 1239 1201 1954 417 517 896 1175 1228 1212 1201 1181 1112 1955 399 737 1318 1435 1454 1426 1420 1381 1367 1956 897 1151 1322 1469 1493 1521 1529 1516 1496 1957 224 452 616 1119 1154 1159 1151 1130 1015 1958 621 1025 1037 1046 1073 1072 1026 946 946 1959 187 550 561 719 719 707 668 668 668 1960 178 192 392 391 392 404 442 428 428 1961 112 233 234 221 338 349 342 344 338 1962 209 246 247 429 438 419 420 380 370 1963 97 149 390 486 512 533 490 486 486 1964 155 461 546 581 578 575 573 573 573 1965 555 656 667 666 746 724 724 787 786 1966 702 853 871 906 913 924 1041 1042 1023 1967 453 504 1000 1000 978 1006 996 978 1011 1968 441 1024 1039 1053 1072 1036 1279 1458 1495 1969 498 532 617 672 725 638 830 867 864 1970 713 955 1222 1294 1211 1266 1397 1297 1331 1971 1344 1674 1753 1656 2219 2308 2335 2284 2290 1972 1234 1477 1665 2475 2632 2671 2611 2617 2648 1973 1386 2607 3632 3816 3780 3952 3944 3960 5949 1974 3745 5593 5764 5945 6373 6384 6415 8467 8333 1975 5078 4451 4398 5197 5255 5298 8104 7534 6669 1976 3782 3949 3921 3878 4036 6120 6284 6652 6588 1977 3197 2930 2996 3065 4962 5274 5940 5904 5884 1978 2971 3648 3689 5125 5616 6063 5925 5940 5930 1979 3629 3692 5345 5308 5421 5352 5386 5560 5462 1980 3636 4556 4629 4026 4033 4059 4198 4159 4108 1981 4305 3948 2974 2967 3039 3035 2886 2891 3028 1982 2933 1109 1107 1143 1202 1435 1465 1618 1619 1983 488 537 701 737 848 861 880 924 9/4 1984 109 293 287 360 368 420 449 454 A CC 1985 13 38 121 127 203 355 357 431 1986 23 321 342 392 603 621 610 1987 61 78 130 149 162 204 1988 18 88 226 232 247 1989 57 124 130 130 1990 29 43 60 1991 55 1992 1 Note: Bold-faced entries in the table are the maximum acres reported as being planted in year t; source: California Agricul- tural Statistics Service, California Fruit & Nut Acreage, Annual Issues. 51 Appendix Table 5. California Avocado Acreage by Category, Plantings and Removals, 1950-92 Year T>1 . l1 ^ 1 lantmg Bearing Acres NonBearing Acres Total Acres Removals 1950-51 2257 12008 8464 20472 1042 1952 1911 12579 9108 21687 897 1953 1838 13566 9135 22701 1476 1954 1570 15040 8023 23063 1632 1955 1228 16292 6709 23001 1066 1956 1454 18036 5127 23163 150 1957 1529 19119 5348 24467 763 1958 1159 19794 5439 25233 1126 1959 1073 20205 5061 25266 284 1960 719 21301 4754 26055 2351 1961 442 20045 4378 24423 937 1962 349 20862 3066 23928 455 1963 438 21194 2628 23822 633 1964 533 21921 1706 23627 1362 1965 581 21574 1224 22798 2039 1966 787 18810 2530 21340 447 1967 1042 18620 3060 21680 842 1968 1011 18730 3150 21880 -629 1969 1495 19220 4300 23520 2775 1970 867 18040 4200 22240 167 1971 1397 18380 4560 22940 213 1972 2335 19039 5085 24124 819 1973 2671 19611 6029 25640 935 1974 5949 20741 6635 27376 1726 1975 8467 20715 10884 31599 492 1976 8104 24882 14692 39574 3940 1977 6652 29041 14697 43738 3577 1978 5940 33866 12947 46813 1616 1979 6063 39802 11335 51137 1748 1980 5560 44369 11083 55452 1649 1981 4629 47831 11532 59363 -15614 1982 4305 64798 14808 79606 2302 1983 2933 69448 12161 81609 7034 1984 924 72296 5212 77508 3363 1985 455 72861 2208 75069 127 1986 431 74131 1266 75397 495 1987 621 74812 521 75333 -4495 1988 204 76307 4142 80449 2508 1989 247 75062 3083 78145 2629 1990 130 73368 2395 75763 3760 1991 60 71007 1126 72133 1792 1992 55 69582 819 70401 1653 1993 1 68159 644 68803 1434 Source: Plantings are from Appendix Table 4; Bearing and Nonbearing acres are from CASS; Removals are calculated from the other series using the procedures described in the text. 52 Appendix Table 6. Data Used in Annual Avocado Demand Model US Per Capita California California CPI Population Income Price Production Obs Year (1982-84=100) (millions) ($l,000s) (cents/poiind) (million poimds) 0.267 159.6 1.58 17.40 46.40 _7 0.269 162.4 1.59 18.50 42.60 ■V J. ^'JoJ 0.268 165.3 1.67 10.45 90.40 _C "O 1Q56 0.272 168.2 1.74 20.70 40.00 A 0.281 ■ 171.3 1.80 22.00 31.60 0.289 174.1 1.83 9.70 92.60 0.291 177.1 1.97 8.40 103.00 X7Uv 0.296 180.8 2.01 5.50 140.00 1Q61 0.299 183.7 2.06 14.00 71.00 1 X 1962 0.302 186.6 2.15 10.70 100.00 1963 0.306 189.3 2.23 13.40 80.00 1964 0.310 191.9 2.38 12.90 93.60 J. 0.315 194.3 2.54 26.00 48.00 c X7DD 0.324 196.6 2.72 13.10 116.00 o 0.334 198.8 2.88 10.10 149.00 7 X700 0.348 200.7 3.10 23.00 74.80 Q O X7U7 0.367 202.7 3.30 15.00 122.20 g 1970 0.388 205.1 3.55 34.10 66.00 10 1971 X X 0.405 207.7 3.81 18.80 134.00 11 XX 1972 X7/ 0.418 209.9 4.07 47.60 52.00 12 1973 0.444 211.9 4.55 27.30 140.80 Xt7 1974 0.493 213.9 4.93 39.60 106.80 Xrl 1975 X7/ — ' 0.538 216.0 5.37 23.80 211.00 ic; xc 1976 0.569 218.1 5.84 51.90 116.80 1977 0.606 220.3 6.36 29.70 240.00 17 X/ 1978 0.652 222.6 7.10 37.00 214.00 IK 1979 0.726 225-1 7.86 34.60 246.00 1980 0.824 227.7 8.67 74.80 150.00 1981 0.909 230.0 9.57 17.90 476.00 21 1982 0.965 232.2 10.11 34.50 314.00 1983 0.996 234.3 10.76 23.00 404.00 1.039 236.4 11.89 18.50 494.00 9A Z4 1.076 238.5 12.59 29.10 400.00 1.096 240.7 13.24 50.80 320.00 1 QR7 1 136 242.8 13.85 16.90 556.00 Z/ 1 QH8 I7O0 X.XOv/ 245.1 14.86 57.00 358.10 1.240 247.4 15.74 62.80 329.60 29 1990 1.307 250.0 16.67 114.20 207.90 30 1991 1.362 252.7 17.19 71.20 271.50 31 1992 1.403 255.4 18.06 58.70 310.90 32 1993 1.445 258.2 18.55 20.70 569.80 33 1994 1.482 260.7 19.25 92.70 271.00 34 1995 1.524 263.1 20.17 74.70 304.20 Notes: CPI, population and income are reported on a calendar year; source: The Economic Report of the President and recent issues of 77k Survey of Current Business. California prices and production quantities are reported on a California crop year (year ending October 31 of stated year); source: California Agricultural Statistics Service. 53 Appendix Table 6 (continued). Data Used in Annual Avocado Demand Model CAC Marketing Florida Florida Expenditures Price Production Imports Exports Obs Year (million $) (cents /pound) (million pounds) (million pounds) (million pounds) -8 1953 0.00 5.50 19.14 6.92 -7 1954 0.00 4.90 23.32 8.28 -6 1955 0.00 5.10 25.96 7.40 -5 1956 0.00 5.10 28.98 5.34 -4 1957 0.00 5.60 21.23 6.61 -3 1958 0.00 4.80 27.66 5.72 -2 1959 0.00 6.30 8.14 7.07 -1 1960 0.00 4.00 15.51 8.77 0 1961 0.00 8.00 3.96 6.14 1 1962 0.18 7.70 13.40 0.17 2 1963 0.44 6.40 25.70 0.03 3 1964 0.51 6.40 30.60 0.01 4 1965 0.32 8.20 28.00 0.07 5 1966 0.79 20.40 6.20 0.25 1967 0.78 10.20 12.80 0.59 7 1968 0.58 8.50 32.30 0.37 g 1969 0.79 10.80 27.70 0.20 9 1970 0.76 13.10 30.80 0.80 10 1971 1.21 14.50 41.40 1.14 11 1972 1.10 16.90 42.50 2.26 12 1973 1.29 16.10 41.40 1.95 13 1974 1.55 17.80 40.60 2.25 14 1975 2.15 16.40 48.20 3.32 15 1976 2.15 20.00 63.80 2.94 16 1977 4.14 20.50 42.20 4.40 17 1978 3.60 34.50 21.40 6.97 18 1979 4.12 20.00 50.80 3.80 17.33 19 1980 2.72 29.90 54.60 3.11 17.98 20 1981 6.42 26.50 61.60 2.98 44.55 21 1982 3.19 25.10 51.60 1.68 17.83 22 1983 J. 5 42 24.00 69.40 2.06 18.43 23 1984 3.47 23.00 54.00 4.13 28.28 24 1985 4.06 19.50 59.00 6.85 13.08 1986 5 18 28.80 57.00 11.42 12.11 26 1987 7.58 20.60 49.40 9.20 26.96 27 1988 3.36 15.60 58.00 5.41 29.39 28 1989 7.11 21.80 54.00 10.00 16.64 29 1990 6.33 16.60 67.00 25.98 10.06 30 1991 7.35 34.20 39.20 29.94 9.72 31 1992 8.63 23.80 56.60 51.88 14.76 32 1993 6.82 29.10 14.40 27.46 32.19 33 1994 5.10 41.00 8.80 39.41 19.87 34 1995 6.82 30.75 40.00 49.16 29.50 Notes: California producer marketing expenditures are reported on a California crop year (year ending October 31 of stated year); source: annual reports of California Avocado Commission and Advisory Board. Florida prices and production quan- tities are reported on a Florida crop year (year ending March 31 of stated year); source: USDA. Annual avocado imports are reported as follows: 1951-76, year ending June 30 of stated year; 1977-88, year ending September 30 of stated year; 1989-95, year ending October 31 of stated year; source: U.S. Bureau of the Census. Imports are reported for year ending October 31 of stated year; source: U.S. Bureau of the Census. 54 Appendix Table 7. Monthly Sales and Average F.O.B. Prices for California Avocados California Ave. Ca California Ave. Ca California Ave. Ca Quantity Sold fob Price Quantity Sold fob Price Year Mo. pounds cents/lb. Year Mo. pounds Cents/ 1L>. Year Mo. cents /lb. 1984 11 1988 11 14,261,675 Ill 1992 11 9,765,125 72 1984 12 1988 12 21,646,825 68 1992 12 29,796,550 52 1985 1 1989 1 26,466,150 67 1993 1 29,999,375 53 1985 2 1989 2 24,169,100 67 1993 2 33,097,225 41 1985 3 1989 3 26,489,450 69 1993 3 45,231,200 35 1985 4 1989 4 25,954,025 67 1993 4 53,043,625 30 1985 5 1989 5 27,255,425 71 1993 5 46,445,925 28 1985 6 1989 6 19,063,375 85 1993 6 56,126,600 27 1985 7 1989 7 23,071,775 90 1993 7 50,041,825 29 1985 8 1989 8 18,808,225 89 1993 8 52,654,175 28 1985 9 1989 9 19,068,100 111 1993 9 36,741,000 46 1985 10 1989 10 14,883,725 128 1993 10 33,619,975 49 1985 11 1989 11 10,847,875 120 1993 11 25,716,900 72 1985 12 1989 12 17,456,950 102 1993 12 19,640,050 92 1986 1 1990 1 18,857,425 108 1994 1 24,332,325 91 1986 2 1990 2 16,076,675 105 1994 2 20,699,975 95 1986 3 1990 3 18,258,575 106 1994 3 24,922,325 101 1986 4 1990 4 17,741,625 135 1994 4 22,734,550 no 1986 5 1990 5 20,924,925 133 1994 5 23,904,300 114 1986 6 1990 6 18,517,400 156 1994 6 24,073,650 128 1986 7 1990 7 16,930,350 173 1994 7 21,221,875 135 1986 8 1990 8 14,993,625 173 1994 8 22,585,300 131 1986 9 1990 9 9,096,925 180 1994 9 13,891,500 136 1986 10 1990 10 5,539,200 181 1994 10 5,937,250 154 1986 11 99 "^^9 Ron 43 1990 11 8363,425 97 1994 11 4,970,625 129 1986 12 ■JO 680 975 32 1990 12 18,007,350 84 1994 12 12,800,625 88 1987 1 30,216,625 32 1991 1 17,739,875 95 1995 1 19,388,100 122 1987 2 31,147,725 32 1991 2 17,703,125 92 1995 2 19,998,200 97 1987 3 37,366,225 32 1991 3 17,977,200 99 1995 3 25,551,825 92 1987 4 ^^^^ 42,592,875 OA 30 1991 4 23,677,975 95 1995 4 26,143,725 82 1987 5 XX 720 925 27 1991 5 27,071,475 81 1995 5 31,796,875 74 . 1987 6 27 1991 6 22,899,850 92 1995 6 29,450,075 87 1987 7 097 70(1 26 1991 7 25,948,375 84 1995 7 29,761,100 83 1987 8 ATI f^'J COC 23 1991 8 25,059,475 75 1995 8 32,981,500 73 ■1987 9 24 1991 9 17,814,200 118 1995 9 21,466,200 118 1987 10 9R 1991 10 9,677,250 121 1995 10 14,688,950 130 1987 11 42 1991 11 3,131,925 121 1995 11 7,492,000 116 1987 12 38 1991 12 12,398,100 100 1995 12 19,977,450 102 1988 1 26,293,900 47 1992 1 25,475,225 76 1996 1 28,444,025 85. 1988 2 26,134,375 56 1992 2 21,803,950 69 1996 2 26,194,025 71 1988 3 27,361,775 65 1992 3 27,299,675 73 1996 3 29,788,075 73 1988 4 25,791,050 72 1992 4 33,337,525 59 1996 4 35,692,275 73 1988 5 26,078,975 82 1992 c D oo,oy/fD\J\J DO 1996 5 35 891 450 65 1988 6 24,538,625 99 1992 6 35,265,700 61 1996 6 32,374,050 76 1988 7 24,%2,300 105 1992 7 27,778,900 89 1996 7 16,026,050 91 1988 8 20,934,525 121 1992 8 22,494,200 105 1996 8 1988 9 14,803,475 130 1992 9 17,970,675 113 1996 9 1988 10 11,766,525 139 1992 10 8,070,650 113 1996 10 Dots indicate missing or unavailable data. Source: Calculated from AMRIC reports 55 Appendix Table 8. Monthly Shipments of Florida and Imported Avocados Year Mo. Avocado Shipments Florida Imported (lbs.) (lbs.) Year Mo. Avocado Shipments Florida Imported (lbs.) (lbs.) Year Mo Avocado Shipments Florida Imported (lbs.) (lbs.) 1984 11 8,916,850 1988 11 7,143,350 4,150,665 11 11 159,650 15,420,000 1984 12 6,217,100 19 5,722,100 1,384,278 129,600 2,970,000 1985 1 4 458 05(1 1989 1 0 Ana 1 nn 1993 1 83,050 1,180,000 1985 2 2,550,800 177,422 1989 2 978 100 0 1993 2 1985 3 443,800 37,845 1989 3 58,900 0 1993 3 7,400 140,000 1985 4 150 141,550 1989 4 0 20,000 1993 4 0 120,000 1985 5 0 127,922 1989 5 1,800 50,000 1993 5 0 210,000 1985 6 26,100 18,570 1989 6 248,800 50,000 1993 6 0 260,000 / 5,901,000 63,309 1989 7 7,253,050 300,000 1993 7 154,200 860,000 1985 8 9,422,200 363,903 1989 8 11,744,150 190,000 lyyo Q 0 1,196,350 1,110,000 1985 9 9,152,900 352,606 1989 9 11,614,900 440,000 lyyo Q 1,698,950 1,940,000 1985 10 10,266,250 384,180 1989 10 11,250,650 2,970,000 lyyo in 1,579,450 2,940,000 1985 11 8,646,700 611,071 1989 11 9,464,150 4,220,000 lyyo 11 1,520,750 4,700,000 1985 12 5,871,200 1,083,781 1989 12 7,831,100 1,650,000 lyyo iz 1,671,600 4,370,000 1986 1 4 019 800 5 252 149 1990 1 3 71 S 800 1 190 non 1994 1 A^A Ann 9 n7n nnn 1986 2 1 133 950 343 820 1990 2 1 657 800 180 000 1994 2 Z.OOf*T\J\J AA{\ nnn 'irtxj f\J\j\j 1986 3 66,250 19,190 1990 3 207,750 150 000 1994 3 1986 4 0 263,310 1990 4 0 0 1994 4 0 150,000 1986 5 0 70,916 1990 5 0 20,000 1994 5 1,100 180,000 1986 6 2,750 64,430 1990 6 655,200 370,000 1994 6 464,350 580,000 1986 7 2,054,300 696,959 1990 7 5,771,100 600,000 1994 7 4,170,450 1,250,000 1986 8 6,647,250 1,154,974 1990 8 7,868,050 1,980,000 1994 8 7,038,050 1,430,000 1986 9 9,229,950 1,301,051 1990 9 5,444,150 6,210,000 1994 9 7,035,400 12,990,000 1986 10 9,498,000 4,079,963 1990 10 7,778,350 9,410,000 1994 10 6,581,800 11,020,000 1986 11 6,255,100 1,996,744 1990 11 5,042,050 7,170,000 1994 11 5,654,250 17,550,000 1986 12 6,142,850 556,288 1990 12 3,523,200 2,220,000 1994 12 4,630,600 4,890,000 1987 1 4,606,250 123,778 1991 1 1,144,400 1,670,000 1995 1 2,557,150 2,960,000 1987 2 2,682,000 14,695 1991 2 340,450 970,000 1995 2 796,800 1,100,000 1987 3 692,400 1,300 1991 3 24,000 10,000 1995 3 17,600 30,000 1987 4 0 14,556 1991 4 0 70,000 1995 4 0 100,000 1987 5 4,400 64,067 1991 5 5,350 30,000 1995 5 500 560,000 1987 6 37,250 1,006,731 1991 6 1,188,650 100,000 1995 6 148,950 840,000 1987 7 4,134,500 594,953 1991 7 8,773,700 340,000 1995 7 4,356,600 780,000 1987 8 7,920,600 393,048 1991 8 10,221,850 330,000 1995 8 7,634,500 580,000 1987 9 9,672,350 336,919 1991 9 9,041,800 2,410,000 1995 9 7,173,000 1,200,000 1987 10 8,498,100 162,589 1991 10 8,738,150 14,620,000 1995 10 6,931,300 18,580,000 1987 11 8,172,300 590,952 1991 11 6,847,200 8,270,000 1995 11 5,320,450 11,630,000 1987 12 7,188,400 674,968 1991 12 6,163,900 8,770,000 1995 12 3,266,850 1988 1 5,738,000 294,525 1992 1 3,584,900 2,360,000 1996 1 1,654,700 1988 2 3,712,650 13,825 1992 2 748,050 950,000 1996 2 548,100 1988 3 1,400,800 0 1992 3 187,200 200,000 1996 3 151,400 1988 4 4,600 28,187 1992 4 0 140,000 1996 4 1988 5 0 22,712 1992 5 1,450 150,000 1996 5 1988 6 240,650 12,366 1992 6 255,400 260,000 1996 6 1988 7 6,001,600 229,791 1992 7 6,396,800 720,000 1996 7 1988 8 10321,150 658,239 1992 8 6,724,850 740,000 1996 8 1988 9 9,879,650 2,722,730 1992 9 184,850 13,120,000 1996 9 1988 10 9,121,700 2,937,412 1992 10 200,900 16,200,000 1996 10 Soiirce: Florida data are from various annual reports of the Florida Avocado Administrative Committee. Import data are from the U.S. Department of Commerce (via the USD A). 56 Appendix Table 9. Macroeconomic Data Used in the Monthly Demand Analysis, California Avocado Crop Years 1985-88 US Disposable US CPI Price Indexes for Goods Personal Income Population (1982-84=100) Possibly Related to Avocados Year Mo. (billions of dollars) (thousands) Quarterly Monthly Lettuce Vegetables-1 Vegetables-2 1984 11 2,832.5 237,230 105.3 105.3 114.5 95.3 99.3 78.8 1984 12 2,832.5 237,230 105.3 105.3 90.2 90.2 96.1 73.5 1 1 2,916.2 237,673 106.0 105.5 126.0 92.4 105.8 91.3 2 2,916.2 237,673 106.0 106.0 111.0 109.7 112.9 110.3 i.yoD 3 2,916.2 237,673 106.0 106.4 100.2 125.2 111.5 117.4 1985 4 3,002.7 238,176 107.3 106.9 86.1 159.2 111.1 109.3 1985 5 3,002.7 238,176 107.3 107.3 96.5 90.4 102.5 88.3 1985 6 3,002.7 238,176 107.3 107.6 79.4 85.0 100.9 88.5 1985 7 3,013.8 238,789 108.0 107.8 97.2 90.2 103.7 124.8 1985 8 3,013.8 238,789 108.0 108.0 109.2 85.2 98.3 103.5 1985 9 3,013.8 238,789 108.0 108.3 113.8 83.1 93.5 92.1 1985 10 3,074.9 239,387 109.0 108.7 108.1 90.8 93.9 86.8 1985 11 3,074.9 239,387 109.0 109.0 103.2 107.5 97.8 84.4 1985 12 3,074.9 239,387 109.0 109.3 143.0 124.9 110.3 107.4 170D 3,139.5 239,861 109.2 109.6 145.1 144.9 118.1 107.2 2 3,139.5 239,861 109.2 109.3 99.2 104.3 101.4 82.7 170D 3 3,139.5 239,861 109.2 108.8 101.3 104.4 100.8 92.6 1986 4 3,170.7 240,368 109.0 108.6 128.3 108.5 108.8 116.5 1986 5 3,170.7 240,368 109.0 108.9 135.4 117.0 112.1 116.3 1986 6 3,170.7 240,368 109.0 109.5 106.8 108.3 106.4 91.0 1986 7 3,210.8 240,962 109.8 109.5 96.4 99.7 106.0 93.4 1986 8 3,210.8 240,962 109.8 109.7 98.3 94.9 105.0 90.1 1986 9 3,210.8 240,962 109.8 110.2 110.5 93.1 104.7 98.6 1986 10 3,229.1 241,539 110.4 110.3 108.2 111.8 107.2 99.5 1986 11 3,229.1 241,539 110.4 110.4 107.1 122.8 110.5 104.3 1986 12 3,229.1 241,539 110.4 110.5 115.1 126.2 111.7 100.4 1QR7 170/ 3,299.8 242,009 111.6 111.2 121.3 111.9 116.2 85.2 1QR7 170/ 2 3,299.8 242,009 111.6 111.6 117.7 113.4 123.2 91.9 1QR7 170/ 3 3,299.8 242,009 111.6 112.1 120.4 109.1 118.9 103.9 1987 4 3,298.5 242,520 113.1 112.7 121.0 119.1 123.7 WZ.Z 1987 5 3,298.5 242,520 113.1 113.1 99.7 114.6 123.6 94.4 1987 6 3,298.5 242,520 113.1 113.5 101.3 125.6 129.2 96.4 1987 7 3,382.3 243,120 114.4 113.8 115.5 116.6 121.0 101.9 1987 8 3,382.3 243,120 114.4 114.4 139.3 97.3 114.5 77.1 1987 9 3,382.3 243,120 114.4 115.0 142.5 103.7 114.6 98.2 1987 10 3,471.8 243,721 115.4 115.3 127.7 112.5 112.5 89.0 1987 11 3,471.8 243,721 115.4 115.4 158.1 138.2 121.2 135.4 1987 12 3,471.8 243,721 115.4 115.4 272.7 139.3 140.2 112.0 1988 3,549.6 244,208 116.1 115.7 277.6 123.2 143.9 135.9 1988 2 3,549.6 244,208 116.1 116.0 208.0 120.1 133.7 96.8 1988 3 3,549.6 244,208 116.1 116.5 150.0 108.9 125.6 95.8 1988 4 3,600.5 244,716 117.5 117.1 113.0 129.2 127.5 98.5 1988 5 3,600.5 244,716 117.5 117.5 118.5 123.5 124.5 88.5 1988 6 3,600.5 244,716 117.5 118.0 113.5 113.3 121.8 86.6 1988 7 3,674.9 245,354 119.1 118.5 113.8 123.4 127.0 96.9 1988 8 3,674.9 245,354 119.1 119.0 118.7 123.4 125.9 94.3 1988 9 3,674.9 245,354 119.1 119.8 134.2 129.8 13Z1 110.4 1988 10 3,738.4 245,966 120.3 120.2 135.1 128:7 129.4 101.0 Notes- Income and population are reported on a quarterly basis, income at a seasonally adjusted annual rate. CPI is the US Consumer Price Index for all goods and all urban consumers. The Lettuce, Tomatoes, and Vegetables-1 variables are con- sumer price indexes with 1982-84=1(X); the Vegetables-2 variable is a producer price index with 1982=100. Vegetables-1 includes potatoes, Vegetables-2 does not. . ^ r, Sources: Income and Population data are from the Bureau of Economic Analysis. All price mdexes are from the Bureau ot Labor Statistics. 57 Appendix Table 9 (continued). Macroeconomic Data Used in the Monthly Demand Analysis, California Avocado Crop Years 1985-88 US Disposable US CPI Price Indexes for Goods Personal Income Population (1982-84 =100) Possibly Related to Avocados Year Mo. (billions of dollars) (thousands) Quarterly Monthly Lettuce Tomatoes Vegetables-1 Vegetables-2 1988 11 3,738.4 245,966 120.3 120.3 126.8 129.2 126.7 103.8 1988 12 3,738.4 245,966 120.3 120.5 174.3 124.3 133.0 96.7 1989 1 3,828.3 246,460 121.7 121.1 179.7 121.7 141.4 93.4 1909 2 3,ozo.3 246,460 121.7 121.6 167.2 153.3 144.4 119.9 1989 3 3,828.3 246,460 121.7 122.3 150.7 132.1 140.2 111.0 1989 4 3,867.1 247,017 123.7 123.1 134.2 145.6 144.1 107.1 D 3,0D/.l Z4/,U1/ 123.7 123.8 128.1 189.0 153.2 140.4 1989 6 3,867.1 247,017 123.7 124.1 149.1 131.6 150.8 117.0 1989 7 3,912.1 247,698 124.7 124.4 145.5 124.9 150.8 110.5 1989 8 3,912.1 247,698 124.7 124.6 146.5 119.3 145.1 96.3 1989 9 3,912.1 247,698 124.7 125.0 152.6 115.7 133.9 81.5 1989 10 3,970.3 248,374 125.9 125.6 160.4 126.2 134.8 101.0 1989 11 3,970.3 248,374 125.9 125.9 167.9 134.9 141.9 80.0 1989 12 3,970.3 248,374 125.9 126.1 135.8 140.3 136.5 88.4 1990 1 4,074.7 248,928 128.0 127.4 152.9 246.3 176.9 164.0 1990 2 4,074.7 248,928 128.0 128.0 134.2 321.8 186.3 203.2 1990 3 4,074.7 248,928 128.0 128.7 130.2 248.4 168.3 136.6 1990 4 4,143.3 249,564 129.3 128.9 137.1 117.6 145.6 74.8 1990 5 4,143.3 249,564 129.3 129.2 134.3 108.5 139.8 78.0 1990 6 4,143.3 249,564 129.3 129.9 120.2 126.1 140.0 83.7 1990 7 4,207.5 250,299 131.6 130.4 140.8 122.7 143.8 93.3 1990 8 4,207.5 250,299 131.6 131.6 142.4 122.0 139.8 79.0 1990 9 4,207.5 250,299 131.6 132.7 172.3 121.9 137.3 79.4 1990 10 4,241.4 251,031 133.7 133.5 192.8 133.2 142.2 96.2 1990 11 4,241.4 251,031 133.7 133.8 194.7 131.8 149.5 117.7 1990 12 4,241.4 251,031 133.7 133.8 152.0 129.5 144.0 87.2 1991 1 4,263.2 251,650 134.8 134.6 189.3 141.1 159.9 89.3 1991 2 4,263.2 251,650 134.8 134.8 160.9 131.6 152.5 87.3 1991 3 4,263.2 251,650 134.8 135.0 139.9 146.0 151.1 88.4 1991 4 4,329.6 252,295 135.6 135.2 154.0 181.3 169.2 112.8 1991 5 4,329.6 252,295 135.6 135.6 168.4 209.3 167.3 157.0 1991 6 4,329.6 252,295 135.6 136.0 180.8 243.2 180.5 138.0 1991 7 4,365.6 253,033 136.7 136.2 138.8 179.4 157.7 102.0 1991 8 4,365.6 253,033 136.7 136.6 133.8 120.4 142.2 82.6 1991 9 4,365.6 253,033 136.7 137.2 140.1 119.0 137.6 81.8 1991 10 4,416.4 253,743 137.7 137.4 139.7 113.5 134.0 73.5 1991 11 4,416.4 253,743 137.7 137.8 201.8 127.9 149.6 113.1 1991 12 4,416.4 253,743 137.7 137.9 170.1 124.5 150.7 76.1 1992 1 4,515.3 254,338 138.7 138.1 149.6 148.8 152.7 117.2 1992 2 4,515.3 254,338 138.7 138.6 13Z6 213.0 163.5 154.7 1992 3 4,515.3 254,338 138.7 139.3 141.1 261.6 172.7 147.9 1992 4 4,585.2 255,032 139.8 139.5 148.0 251.1 175.4 99.7 1992 5 4,585.2 255,032 139.8 139.7 149.6 133.0 149.6 89.9 1992 6 4,585.2 255,032 139.8 140.2 136.9 120.9 146.9 81.3 1992 7 4,613.9 255,815 140.9 140.5 135.3 126.6 148.1 85.5 1992 8 4,613.9 255,815 140.9 140.9 167.0 130.1 153.8 114.8 1992 9 4,613.9 255,815 140.9 141.3 192.5 125.5 152.8 114.8 1992 10 4,740.4 256,543 141.9 141.8 176.8 161.0 155.2 149.0 Notes: Income and population are reported on a quarterly basis, income at a seasonally adjusted annual rate. CPI is the US Consumer Price Index for all goods and all urban consumers. The Lettuce, Tomatoes, and Vegetables-1 variables are con- simier price indexes with 1982-84=100; the Vegetables-2 variable is a producer price index with 1982=100. Vegetables-1 includes potatoes, Vegetables-2 does not. Sources: Income and Population data are from the Bvireau of Economic Analysis. AU price indexes are from the Bureau of Labor Statistics. 58 Appendix Table 9 (continued). Macroeconomic Data Used in the Monthly Demand Analysis, California Avocado Crop Years 1985-88 US Disposable US CPI Price Indexes for Goods Personal Income Population (1982-84=100) Possibly Related to Avocados Year Mo. (billions of dollars) (thousands) Quarterly Monthly Lettuce Tomatoes Vegetables-1 Vegetables-2 1992 11 4,740.4 256343 141.9 142.0 156.2 196.1 158.4 108.2 1992 12 4,740.4 256,543 141.9 141.9 183.0 193.4 166.1 133.4 lyyi I 4,t>o0.1 14^ 1 142.6 181.6 182.7 172.4 128.8 1993 2 4,686.1 257,155 143.1 143.1 187.3 170.9 171.1 125.8 1993 3 4,686.1 257,155 143.1 143.6 222.5 139.6 173.7 117.4 1993 4 4,771.6 257,787 144.2 144.0 213.1 159.2 179.3 178.5 1993 5 4,771.6 257,787 144.2 144.2 195.5 235.9 189.6 164.3 1993 6 4,771.6 257,787 144.2 144.4 142.2 193.2 167.1 80.7 1993 7 4,804.2 258,501 144.8 144.4 164.5 131.1 155.8 98.4 1993 8 4,804.2 258,501 144.8 144.8 173.8 134.2 156.1 110.5 1993 9 4,804.2 258,501 144.8 145.1 172.2 164.8 157.4 117.0 1993 10 4,895.4 259,192 145.8 145.7 168.1 147.7 157.7 89.5 1993 11 4,895.4 259,192 145.8 145.8 165.3 159.6 166.1 141.1 1993 12 4,895.4 259,192 145.8 145.8 15Z1 197.2 174.9 167.0 1994 1 4,800.0 7 IrtO./ 146.3 238.5 181.7 146.3 1994 2 4,856.8 259,738 146.7 146.7 146.5 175.1 168.1 99.3 1994 3 4,856.8 259,738 146.7 147.2 158.8 148.5 167.0 96.1 1994 4 5,002.2 260,327 147.6 147.4 144.9 150.7 163.9 91.4 1994 5 5,002.2 260,327 147.6 147.5 143.3 152.7 162.8 91.2 1994 6 5,002.2 260,327 147.6 148.0 147.6 170.0 168.7 94.9 1994 7 5,070.5 261,004 148.9 148.4 156.2 162.1 170.2 104.8 1994 8 5,070.5 261,004 148.9 149.0 157.3 159.2 163.7 95.7 1994 9 5,070.5 261,004 148.9 149.4 178.7 154.6 163.5 107.1 1994 10 5,145.7 261,653 149.6 149.5 178.8 158.1 167.0 113.8 1994 11 5,145.7 261,653 149.6 149.7 212.3 178.5 178.4 128.1 1994 12 5,145.7 261,653 149.6 149.7 273.4 233.6 212.7 244.7 1995 1 ISO 0 150.3 257.2 217.1 209.4 163.5 1995 2 5,225.5 262,181 150.9 150.9 176.1 217.2 198.6 149.2 1995 3 5,225.5 262,181 150.9 151.4 178.1 175.0 193.8 159.2 1995 4 5,260.5 262,748 152.2 151.9 379.6 202.3 220.4 199.1 1995 5 5;260.5 262,748 152.2 152.2 342.2 159.0 203.5 167.2 1995 6 5;260.5 262,748 152.2 152.5 209.5 178.2 194.9 127.2 1995 7 5,337.3 263,399 152.9 152.5 167.9 200.7 188.7 107.3 1995 8 5,337.3 263,399 152.9 152.9 177.5 150.9 175.4 94.8 1995 9 5,337.3 263,399 152.9 153.2 222.0 157.2 181.7 152.9 1995 10 5,406.6 264,032 153.6 153.7 193.1 175.7 182.0 116.0 1995 11 5,406.6 264,032 153.6 153.6 178.5 183.5 180.3 115.8 1995 12 5,406.6 264,032 153.6 153.5 172.2 242.6 188.4 125.5 1996 1 5,479.0 264,557 155.0 154.4 201.6 178.1 193.8 133.9 1996 2 5,479.0 264,557 155.0 154.9 165.6 178.0 188.4 119.4 1996 3 5,479.0 264,557 155.0 155.7 208.8 237.4 206.0 202.5 1996 4 156.5 156.3 189.3 292.3 209.2 155.6 1996 5 156.5 156.6 176.3 227.5 190.0 108.2 1996 6 156.5 156.7 183.4 190.3 188.0 96.6 1996 7 1996 8 1996 9 1996 10 Notes: Income and population are reported on a quarterly basis, income at a seasonally adjusted armual rate. CPI is the US Consumer Price Index for all goods and all urban consumers. The Lettuce, Tomatoes, and Vegetables-1 variables are con- sumer price indexes with 1982-84=100; the Vegetables-2 variable is a producer price index with 1982=100. Vegetables-1 includes potatoes, Vegetables-2 does not. Sources: Income and Population data are from the Bureau of Economic Analysis. All price indexes are from the Bureau of Labor Statistics. 59 Appendix Table 10. Bearing Acreage of California Avocados: Actual and Simulated With and Without Advertising, 1961-62 through 1994-95 Year Actual Estimated Bearing Acreage Bearing Acreage With Advertising Without Advertising 1962 21,194 21,194 21,194 1963 21,921 ' 21,082 21,082 1964 21,574 20,702 20,698 1965 18,810 20,065 20,048 1966 18,620 19,228 19,196 1967 18,730 18,748 18,701 1968 19,220 18,145 18,063 1969 18,040 17,588 17,448 1970 18,380 17,731 17,486 1971 19,039 17,650 17,280 1972 19,611 18,425 17,852 1973 20,741 19,763 18,934 1974 20,715 22,194 21,037 1975 24,882 25,225 23,725 1976 29,041 30,384 28,530 1977 33 866 35,567 33,355 1978 39,802 41,458 38,801 1979 44,369 47,097 44,027 1980 47,831 53,091 49,609 1981 64,798 68,827 65,056 1982 69,448 72,950 68,929 1983 72,296 74,509 70,295 1984 72,861 75,779 71,446 1985 74,131 76,289 71,819 1986 74,812 76,158 71,635 1987 76,307 75,536 71,012 1988 75,062 74,918 70,389 1989 73 368 72,969 68,471 1990 71,007 71,508 67,140 1991 69,582 68,466 64,094 1992 68,159 67,172 62,634 1993 66,865 64,962 60,357 1994 61,254 62,526 57,914 1995 59,577 59,764 55,196 60 Appendix Table 11a. Estimated Annual Short-Run Benefit/Cost Ratios From Avocado Advertising, 1961-62 to 1994-95 Short-Rian Impacts of Advertising Year TR Increase CAC TR increase CAC Adv Benefit/ TRwith TR w^ith no From Advertising 1994-95 1994-95 Cost Advertising Advertising Advertising dollars dollars Ratio (million $) (million $) (million $) (million $) (million $) (million $) LyOZ. 10.89 10.75 0.15 0.18 0.74 0.91 0.81 1 QCi lyoo 10.63 10.27 0.36 0.44 1.77 2.18 0.81 1704 12.28 11.81 0.47 0.51 2.32 2.49 0.93 lyOD 9.09 8.84 0.24 0.32 1.18 1.55 0.76 1700 17.88 16.84 1.04 0.79 4.89 3.70 1.32 lyo/ 20.86 19.70 1.16 0.78 5.30 3.56 1.49 lyoo 18.34 17.47 0.87 0.58 3.81 2.52 1.51 1 O^Q iyoy 22.65 21.28 136 0.79 5.65 3.29 1.72 ly/u 21.61 20.19 1.^ 0.76 5.60 2.99 1.88 ly/ i 30.94 28.07 2S7 1.21 10.80 4.56 2.37 1 077 24.35 21.81 2.54 1.10 9.28 4.02 2.31 45.91 40.65 5.26 1.29 18.06 4.42 4.09 1 Q7A 51.53 44.66 6£7 1.55 21.24 4.78 4.44 17/0 63.14 53.70 9.44 2.15 26.74 6.10 439 l7/0 75.29 63.22 12.07 2.15 32.33 5.76 5.61 1 Q77 17/ / 90.52 71.60 18.92 4.14 47.58 10.40 4.58 1 Q7Q 117.95 94.93 23.02 3.60 53.80 8.41 6.40 1 Q7Q i7/y 125.97 100.94 25.03 4.12 52.54 8.66 6.07 LyOU 136.59 114.32 22.28 2.72 41.21 5.02 8.21 1 QSI 109.89 89.01 20.88 6.42 35.01 10.77 3.25 1 QR9 i70Z 130.17 111.06 19.12 3.19 30.19 5.04 5.99 lyoJ 113.74 92.65 21.09 5.42 32.27 8.29 3.89 1 QRA 105.33 89.24 16.10 3.47 23.61 5.09 4.64 lyoD 146.00 120.57 25.43 4.06 36.01 S.75 6.26 lyoo 197.36 156.56 40.80 5.18 56.73 721 7.87 lyo/ 133.75 103.94 29.80 7.58 39.98 10.17 3.93 1 noo 19bo 232.39 190.42 41.97 3.36 54.06 433 12.48 i9oy 292.56 220.77 71.79 7.11 Oo.Zo ft in in 1990 311.27 235.68 75.59 6.33 88.14 738 11.95 1991 285.71 213.37 72.34 7.35 80.94 9.84 1992 224.14 164.63 59.51 8.63 64.64 937 6.90 1993 170.51 130.37 40.14 6.82 42.33 7.19 5.89 1994 299.58 226.27 73.31 5.10 75.39 5J2S 14.37 1995 290.45 211.69 78.76 6.82 78.76 6.82 11.56 61 Appendix Table lib. Estimated Long-Run Benefit/Cost Ratios From Avocado Advertising, 1961-62 to 1994-95 Long-Run Impacts of Advertising Year JD b IXll la IcU. J^bllllldieLl 1 IS. increase TR increase L.At_ Adv Deneiit/ TRwith TR with no From Advertising 1994-95 1994-95 Cost Advertising Advertising Advertising dollars dollars Ratio (million $) (million $) (million $) (million $) (million $) (million $) 1962 10.78 10.64 0.15 0.18 0.73 0.91 0.80 1963 10.66 10.30 0.36 0.44 1.78 2.18 0.81 1964 12.72 12.22 0.49 0.51 TAl 2.49 0.97 1965 9.30 9.06 0.25 0.32 121 155 0.78 1966 17.60 16.60 1.00 0.79 4.70 3.70 1.27 1967 20.75 19.65 1.11 0.78 5.06 356 1.42 1968 18.66 17.81 0.85 0.58 3.71 2J2 1.47 1969 24.26 22.92 1.34 0.79 5.1^ 329 1.69 1970 21.84 20.53 131 0.76 5.15 2.99 1.72 1971 32.27 29.78 2.49 1.21 9.38 4J6 2.05 1972 24.88 22.55 2.33 1.10 8.49 4(E 2.11 1973 46.04 42.48 3.56 1.29 12.23 4^ 2.77 19/4 47.28 42.94 4.35 1.55 13.43 4.78 2.81 1975 50.09 46.78 3.30 2.15 9.36 6.10 1.54 1976 61.56 55.43 6.13 2.15 16.42 5.76 2.85 1977 55.46 49.99 5.47 4.14 13.75 10.40 1.32 1978 70.69 64.87 5M 3.60 13.59 8.41 1.62 1979 76.75 70.95 5J1 4.12 12.19 8.66 1.41 1980 99.95 92.79 7M 2.72 13.24 5.02 2.64 1981 40.40 39.43 0.f7 6.42 1.62 10.77 0.15 1982 88.32 86.15 %16 3.19 3.42 5.04 0.68 1983 89.31 84.63 4.68 5.42 7.16 829 0.86 1984 86.10 86.46 -036 3.47 -0.53 5.09 -0.10 1985 118.31 115.41 im 4.06 4.12 5.75 0.72 1986 162.99 151.65 11J4 5.18 15.77 7.21 2.19 1987 109.10 103.89 5.21 7.58 6.99 10.17 0.69 1988 196.59 192.77 3.S2 3.36 4.92 4.33 1.13 1989 247.17 223.14 24.02 7.11 29.53 8.74 3.38 1990 254.74 224.60 30.13 6.33 35.14 7M 4.76 1991 235.73 210.06 25.67 7.35 28.73 823 3.49 ■ 1992 183.81 163.68 20.13 8.63 21.87 9.37 2.33 1993 146.31 144.76 1.55 6.82 1.63 7.19 0.23 1994 251.50 235.14 16.35 5.10 16.82 52S 3.20 1995 228.36 211.42 16.95 6.82 16.95 6.82 2.49 62 Appendix Table 11c. Estimated Long-Run Benefit/ Cost Ratios From Avocado Advertising for the Producers' Share of Costs, 1961-62 to 1994-95 Long-Run Impacts of Advertising Crop Year Ending TR Increase From Adv 1994-95 base (million $) CAC Adv Costs 1994-95 base (million $) Producers' Share of Costs 1994-95 base (million $) Benefit/ Cost Ratio 1962 0.7329 0.9129 0.9129 0.80 1963 1.7769 2.1848 2.1848 0.81 1964 2.4141 2.4892 2.4892 0.97 lyoD 1.2081 1.5525 1.5525 0.78 lyoo 4.6989 3.6952 3.6952 1.27 iyo/ 5.0589 3.5637 3.5637 1.42 3.7120 2.5199 2.5502 1.46 1969 5.5716 3.2876 3.3753 1.65 19/U 5.1487 2.9861 3.3622 1.53 1971 9.3763 4.5649 4.8225 1.94 1972 8.4901 4.0169 5.2581 1,61 1973 12.2311 4.4189 4.5892 2.67 1974 13.4347 4.7809 5.6285 2J9 1 OTC ly/D 9.3594 6.0961 3.7529 Z49 ly/t) 16.4241 5.7620 5.8632 2.80 19// 13.7537 10.3991 6.7154 2,05 1 d'ye 19/0 13.5874 8.4052 4.5256 3.00 19/9 12.1912 8.6551 4.4918 2.71 19oU 13.2441 5.0219 3.8131 ^ 3.47 1901 1.6197 10.7710 8.2321 OJO 19oZ 3.4167 5.0414 2.4797 1.38 7.1584 8.2908 5.3306 1.34 19o4 -0.5275 5.0941 1.9655 -0.27 1985 4.1161 5.7528 2.4705 1.67 1986 15.7686 7.2072 3.9103 4.03 1987 6.9890 10.1685 6.3259 1.10 1988 4.9164 4.3332 0.2258 21.77 1989 29.5267 8.7354 4.1010 7.20 1990 35.1371 7.3753 5.9987 5M 1991 28.7269 8.2259 5.9336 4.84 1992 21.8671 9.3726 7.5513 2.90 1993 1.6310 7.1887 3.8668 0.42 1994 16.8167 5.2479 3.5628 4.72 1995 16.9453 6.8152 4.6479 3.65 63 Appendix Table lid. Projected Long-Run Benefit/Cost Ratios From Avocado Advertising, Producers Pay All Costs and Producers Share Costs, 1995-96 to 2014-15 Projected Long-Run Impacts of Advertising Crop Year Ending Total Crop Revenue Increased Rev from Adv (million $) Total Adv Cost (miUion $) Producers' Share of Adv Costs (million $) Benefit/ Cost Ratios With AHv V V ILL I V (million $) (million $) pay all costs 1 roaucers share costs 1996 91 7 ni ^x/