1. Introduction
Wheat is an important commodity for the United States and the state of Washington, both at the domestic and international levels. Land Grant Universities, such as Washington State University (WSU), invest in research to improve wheat characteristics that will benefit both producers and consumers. Funds available for agricultural research, however, are a scarce resource that needs to be justified. Measuring the welfare effects of the WSU wheat breeding programs represents an important part of understanding the value of these programs.
The main objective of this study is to calculate the welfare effects of the WSU wheat breeding programs for producers and consumers (wheat buyers) in Washington, Oregon, Idaho, and the United States, and for importers of U.S. wheat. This study will make several contributions to the literature. We extend previous work to develop a detailed multiregion, multiproduct, and multivariety model that includes spillover effects and accounts for the limited substitution among wheat classes. We use the approach by Michalski (Reference Michalski2012) to estimate the yield improvement by wheat class because of the WSU breeding programs. Our framework and results will be useful to decision makers in the government because we evaluate expenditures on the WSU wheat breeding programs by calculating the welfare effects of these programs and comparing them with the associated costs. Based on the welfare results, we calculate a net present value (NPV) of $9.13 million, a benefit-cost ratio (BCR) of 1.75, and an internal rate of return (IRR) of 17.75% for the WSU breeding programs.
There are numerous studies analyzing the welfare economics of agricultural research. Most of these studies are based on the methodology initiated by Schultz (Reference Schultz1953) and Griliches (Reference Griliches1958) and further developed by Ayer and Schuh (Reference Ayer and Schuh1972) and Akino and Hayami (Reference Akino and Hayami1975). Studies related to the impact of wheat breeding research started as early as the 1970s. Models have evolved and become more sophisticated and accurate with time. Most approaches focus on economic surplus measures, based on partial equilibrium or econometric models. These studies also differ in the representation of varietal improvement, with yield increase being the most popular.Footnote 1 Some work has been done regarding the use of new technologies, specifically the potential benefits of genetically modified wheat research (Berwald, Carter, and Gruère, Reference Berwald, Carter and Gruère2005; Crespi et al., Reference Crespi, Grunewald, Barkley, Fox and Marsh2005). None of these studies, however, incorporate multiple regions, wheat classes, and wheat varieties jointly in their analysis.
In particular, most studies focus on the benefits for the specific area of study (e.g., Blakeslee et al., Reference Blakeslee, Weeks, Bourque, Beyers and Seyfried1973; Blakeslee and Sargent, Reference Blakeslee and Sargent1982; Brennan, Reference Brennan1984, Reference Brennan1989; Byerlee and Traxler, Reference Byerlee and Traxler1995; Heisey, Lantican, and Dubin, Reference Heisey, Lantican and Dubin2002). Some studies incorporate different regions in their analysis (e.g., Barkley, Reference Barkley1997; Edwards and Freebairn, Reference Edwards and Freebairn1984; Nalley et al., Reference Nalley, Barkley and Chumley2008). Only a few studies, however, incorporate more than one dimension. Brennan, Godyn, and Johnston (Reference Brennan, Godyn and Johnston1989) incorporate not only several regions but also quality aspects into an analysis based on a partial equilibrium framework for evaluating new wheat varieties. The authors estimate the change in producer and consumer surplus in Australia and the rest of the world (ROW) resulting from a research-induced shift in the supply curve. Zentner and Peterson (Reference Zentner and Peterson1984) incorporate different wheat classes for Canada. The authors perform an econometric analysis of whether public investment in Canadian wheat research has constituted socially profitable use of scarce public resources and to what extent the social benefit from these research activities has accrued to producers and consumers.
Nalley et al. (Reference Nalley, Barkley and Chumley2008) use a two-region model to evaluate the economic impact (BCR, IRR, and NPV) of the Centro Internacional de Mejoramiento de Maíz y Trigo (CIMMYT) wheat breeding program on producers and consumers (flour millers) in Mexico and the world. They include important producers like the United States, the European Union, Canada, Argentina, and Australia, as well as important importers like China and Japan. They estimate that in Mexico, producers gained an average of $1.88 million (2002 dollars) per year from 1990 to 2002 by growing wheat varieties developed and released by CIMMYT, whereas producers outside of Mexico lost an average of $0.478 million. Consumers in Mexico gained an average of $0.004 million per year from 1990 to 2002, while consumers outside of Mexico gained an average of $0.477 million per year. Heisey, Lantican, and Dubin (Reference Heisey, Lantican and Dubin2002) use a constant elasticity of substitution production function to illustrate potential changes in wheat yield in farmers’ fields, as well as changes in economic benefits that may be associated with an increase in experimental wheat yields. They study 36 developing countries. They estimate that returns to international wheat breeding research are $1.6 billion to $6 billion in annual benefits given a total investment of $150 million per year.
Some studies have focused on how to correctly attribute the benefits and costs of the development of new crop varieties (Alston and Pardey, Reference Alston and Pardey2001; Pardey et al., Reference Pardey, Alston, Chan-Kang, Magalhaes and Vosti2004, Reference Pardey, Alston, Chan-Kang, Magalhaes and Vosti2006). There are several difficulties in determining the attribution of benefits of varietal improvement. For example, specific sources of new crop varieties are not always known, and defining the relevant counterfactual is challenging (Pardey et al., Reference Pardey, Alston, Chan-Kang, Magalhaes and Vosti2006). Identifying the relevant costs of research is also not trivial. In this article, we use the last-cross rule (Pardey et al., Reference Pardey, Alston, Chan-Kang, Magalhaes and Vosti2006) for the attribution of benefits; thus, we assume that all the credit for varietal improvement goes to the breeder, in this case the WSU wheat breeding programs.
Our work complements and contributes to the literature by looking at the different wheat classes independently, assuming that they are differentiated products, and by calculating welfare effects for the different regions (Washington, Oregon, and Idaho) using wheat varieties developed by WSU. We are able to calculate the spillover effects onto Oregon and Idaho. These new results provide evidence of the value of the WSU wheat breeding programs for producers and consumers, not only in Washington but also in Oregon, Idaho, the United States, and the ROW.
2. Background
Wheat ranks second in value among all commodities in Washington. In the United States, Washington is the fourth-largest producer of wheat. Washington is one of the largest wheat exporting states, with 85% to 90% of its crop being exported (Washington Grain Commission, 2014). Washington's share of world wheat, however, is not large enough to affect world wheat prices. Soft white wheat is primarily grown in Washington because of favorable growing conditions. Wheat varieties in Washington are always being adapted to counteract disease and pest issues that affect producers’ yield, such as fungi and insects, as well as to meet producer demand for higher-yielding varieties.
Wheat breeding programs are important to producers and consumers. In addition to helping producers by increasing yield and/or quality, new varieties should also maintain or improve consumer-desired characteristics, such as milling properties and the characteristics required for good-quality bread, cakes, cookies, or pasta, depending on the specific wheat class. However, it is not always easy to justify increased expenditure in wheat breeding research. One reason is the long period of time from the beginning of the trials to the adoption of these varieties by growers.Footnote 2 Another reason is the fact that growers do not buy seed every year but save some of the harvested grain to plant the following year or years (Heisey, Lantican, and Dubin, Reference Heisey, Lantican and Dubin2002).
The Crop and Soil Sciences Department at WSU has several plant breeding programs, one of which is wheat. The wheat research program at WSU is funded by a mix of state and federal funds, as well as contributions from the Washington Wheat Commission.Footnote 3 Varieties developed by the WSU wheat breeding programs account for the majority of the wheat acreage in the state (Jones, Reference Jones2006).
Table A1 in the Appendix shows the number of acres planted to WSU varieties in Washington, Oregon, and Idaho by wheat class from 2002 to 2011, as well as the acres to other varieties and the total number of acres. We see variation in the number of acres by origin and class over time. The main wheat class planted in eastern Washington is soft white wheat. In 2002, 74% of soft white wheat acres were planted to varieties developed by WSU, compared with 61% in 2006 and 46% in 2011.Footnote 4
Wheat is not a homogeneous product. The agronomic characteristics of the different varieties and consumer preferences determine the end use of wheat, making the different wheat classes differentiated products. For example, flour made from hard wheat is mainly used for bread, soft wheat flour is mainly used for cakes and cookies, and durum wheat flour is mainly used for pasta. The United States produces five major wheat classes: hard red winter (HRW), hard red spring (HRS), soft red winter (SRW), soft white winter (SWW), and durum wheat (DUR). Production of the different classes of wheat in the United States is highly segregated. HRW is grown mainly in Kansas and Oklahoma (central plains), HRS and DUR are grown mainly in North Dakota (northern plains), SRW is produced in the Corn Belt and Southern states, and SWW is grown in the Pacific Northwest, Michigan, and New York (Koo and Taylor, Reference Koo and Taylor2006). Given the limited substitutability for milling purposes among these wheat classes (Marsh, Reference Marsh2005; Mulik and Koo, Reference Mulik and Koo2006), it is important to analyze these different classes on their own when studying wheat for the United States. We specifically model each wheat class independently and then subdivide the classes corresponding to varieties developed at WSU into seven different regions. For Washington, Oregon, and Idaho, we subdivide each state into varieties developed by WSU and Other, and the rest of the United States is comprised by the other region. We divide consumption for each class between domestic consumption and exports.
3. Model
We follow Alston, Norton, and Pardey (Reference Alston, Norton and Pardey1995) in the development of our theoretical equilibrium displacement model. The model developed in Alston, Norton, and Pardey (Reference Alston, Norton and Pardey1995) is also similar to the ones presented in Brennan, Godyn, and Johnston (Reference Brennan, Godyn and Johnston1989), Byerlee and Traxler (Reference Byerlee and Traxler1995), Edwards and Freebairn (Reference Edwards and Freebairn1984), and Voon and Edwards (Reference Voon and Edwards1992), and it has been used in most studies measuring economic surplus of agricultural research (Barkley, Reference Barkley1997; Crespi et al., Reference Crespi, Grunewald, Barkley, Fox and Marsh2005; Heisey, Lantican, and Dubin, Reference Heisey, Lantican and Dubin2002; Nalley, Barkley, and Chumley, Reference Nalley, Barkley and Chumley2008; Nalley et al., Reference Nalley, Barkley and Chumley2008; etc.). Alston, Norton, and Pardey (Reference Alston, Norton and Pardey1995) provide a structured, detailed, and well-written overview of the methods used for economic surplus estimation, as well as the methods for agricultural research evaluation and priority setting.
Figure 1 presents a flowchart overview of our model. We include production of each wheat class in the United States and consumption of each U.S. wheat class in the United States and the ROW (exports) to get a multiproduct model. Furthermore, we subdivide the wheat classes for which WSU wheat breeding programs have developed varieties (HRW, HRS, and SWW) into Washington, Oregon, Idaho, and Other States to obtain a multiregion model, in which each state studied is further divided into production of WSU varieties and Other (WA-WSU, WA-Other, OR-WSU, OR-Other, ID-WSU, and ID-Other). In this way, we allow for spillover effects to Idaho and Oregon.Footnote 5 We also incorporate cross-commodity price effects to allow for limited substitution in demand among wheat classes. Because we are only interested in simulating the welfare effects of yield improvements in WSU-developed varieties, we hold all other yield improvements constant, including improvements because of technology, management practices, and other wheat breeding programs.Footnote 6
Figure 1. Flow Chart Overview of the WSU Wheat Breeding Programs Model
First, we obtain the equilibrium prices and quantities for each wheat class, region, and subregion given a supply shift because of the yield improvement in WSU varieties. We then calculate the changes in consumer, producer, and total surplus for each wheat class and region within the United States, as well as for consumers of U.S. wheat in the ROW associated with a change in price because of a shift in the supply curve for the regions using varieties developed at WSU. We assume that the supply shift is caused by yield improvements (J) by using varieties developed by the WSU wheat breeding programs, holding potential improvements by other research programs and technology constant. The supply shift parameter, K, is calculated as the yield increase or improvement by WSU varieties divided by the price elasticity of supply, K = J/ɛ (Alston, Norton, and Pardey, Reference Alston, Norton and Pardey1995, p. 339). We use the breeder contributions to yield by wheat class from Michalski (Reference Michalski2012) as our measure of yield increase because of WSU varieties.
The specific supply, demand, and export equations in terms of relative changes and elasticities are the following:
-
(1) E(Qi, a ) = ε i [E(Pi ) + Ki, a ], i = HRW, HRS, SWW; a = WA-WSU, OR-WSU, ID-WSU
-
(2) E(Qi, b ) = ε i [E(Pi )], b = WA-Other, OR-Other, ID-Other, Other States
-
(3) E(Qj ) = ε j [E(Pj )], j = SRW, DUR
-
(4)
$E(C_n ) = \sum\nolimits_c {\eta _{nc} [E(P_c )]}$
, n, c = HRW, HRS, SWW, SRW, DUR
-
(5) E(Xn ) = η ROW [E(Pn )], n = HRW, HRS, SWW, SRW, DUR
where E denotes relative changes, that is, E(Z) = dZ/Z = dlnZ; Q denotes the quantity of wheat supplied by the corresponding regions; P denotes the price for wheat; K denotes the vertical shift of the supply curve; ɛ denotes the price elasticity of supply; C denotes the quantity of wheat demanded by class; X denotes exports by class; η nc denotes the own- and cross-price elasticity of demand for the wheat classes; and η ROW denotes the price elasticity of demand for wheat in the ROW.Footnote 7
Given that prices among wheat classes are not the same, we have a market equilibrium condition for each wheat class. Equation (6) corresponds to the equilibrium condition for HRW, HRS, and SWW classes; and equation (7), to SRW and DUR:
-
(6)
$\sum\nolimits_d {ss_d E(Q_d )} = E(C_i ) + E(X_i )$
, d = WA-WSU, WA-Other, OR-WSU, OR-Other, ID-WSU, ID-Other; i = HRW, HRS, SWW
-
(7) E(Qj ) = E(Cj ) + E(Xj ), j = SRW, DUR
where ssd
represents the supply share (
$ss_d = Q_d /\sum\nolimits_d {Q_d }$
) for each region d producing HRW, HRS, and SWW.
We solve the system of equations (1–7) to find the relative change in prices for each wheat class and the new quantity supplied, quantity consumed in the United States, and quantity exported for each wheat class after the shift in supply. Finally, we calculate changes in consumer, producer, and total surplus for each region and wheat class.
Change in producer surplus (PS) for each region and wheat class is calculated as in equations (8) and (9). Change in consumer surplus (CS) for each wheat class is calculated as in equation (10). Change in consumer surplus for consumers outside of the United States (consumer surplus for exports, CSE) for each wheat class is calculated as in equation (11). Finally, change in total surplus for each wheat class is calculated as in equation (12).
-
(8) ΔPSi, a = PiQi, a [E(Pi ) + Ki, a ][1 + 0.5E(Qi, a )], i = HRW, HRS, SWW; a = WA-WSU, OR-WSU, ID-WSU
-
(9) ΔPSj = PjQj [E(Pj )][1 + 0.5E(Qj )], j = SRW, DUR
-
(10) ΔCSn = −PnCn [E(Pn )][1 + 0.5E(Cn )], n = HRW, HRS, SWW, SRW, DUR
-
(11) ΔCSEn = −PnXn [E(Pn )][1 + 0.5E(Xn )], n = HRW, HRS, SWW, SRW, DUR
-
(12) ΔTSn = ΔPSn + ΔCSn + ΔCSEn, n = HRW, HRS, SWW, SRW, DUR
where P represents the initial price, and Q, C, and X represent the initial producer, consumer, and export quantities, respectively. In this way, total surplus from the research-induced supply shift corresponds to the area below the demand curve and between the two supply curves. This area represents the sum of the cost saving because of the yield increase and the economic surplus because of the increment to production and consumption.
A main limitation of this model is that it assumes only a parallel shift in the supply curve. Additionally, it applies linear demand and supply functions to provide at best a first-order approximation of economic surplus. The model, however, is still general and flexible enough to accommodate a wide range of different market structures and characteristics. All variables and parameters used in the model are presented in Table 1, including their definition and source.
Table 1. Variable and Parameter Definition and Source
Note: HRS, hard red spring; HRW, hard red winter; ROW, rest of the world, SWW, soft white winter; WSU, Washington State University.
4. Data
Annual wheat production data for Washington, Oregon, and Idaho from 2002 to 2011 are available through the U.S. Department of Agriculture (USDA) National Agricultural Statistics Service (NASS) website (USDA-NASS, 2014). Detailed information on acreage by variety by state over time was obtained through the NASS Statistical Bulletins by State (USDA-NASS Idaho, 2014; USDA-NASS Oregon, 2014; USDA-NASS Washington, 2014).Footnote 8 Annual data on price, production, and consumption for the United States and the world are available through the USDA Economic Research Service (ERS) Wheat Yearbook Tables (USDA-ERS, 2014). Annual prices were deflated to reflect 2011 dollars using the U.S. producer price index (PPI) obtained through the Bureau of Labor Statistics (BLS) website (U.S. Department of Labor, BLS, 2014). The PPI was adjusted to represent 2011 dollars by changing the base year to 2011. Supply and demand elasticities are obtained from the literature as discussed in the “Results” section.
Firsthand consumption data are not available for Washington, Oregon, and Idaho. For these states, we calculated consumption proportionally to the state's population based on consumption for the whole United States. Population data for the United States, Washington, Oregon, and Idaho were obtained through the Census Bureau website (U.S. Census Bureau, 2014).
We use an improved empirical measure of breeder contributions to yield from Michalski (Reference Michalski2012) as the yield increase for WSU varieties. Michalski uses unique data provided by WSU's Wheat Variety Testing program that has comprehensive wheat variety test plot data from 1979 through 2011. The test plot data are populated by many varieties that have been in continuous use, such as STEPHENS and NUGAINES, since 1979 through present. These long histories of specific varieties allow a comparison between yield improvements because of improved farm management versus yield improvements because of breeding, as in the example of STEPHENS where today's yield averages nearly twice the yield obtained in 1979. Michalski (Reference Michalski2012) combines data from the WSU wheat variety test program with spatially and temporally interpolated historical weather records to analyze Washington wheat variety performance across time and geography. He estimates breeder contributions to yield by regressing yield for each wheat variety while controlling for location, temperature, weather variables, a continuous time variable represented by the harvest year (applies a slope representing improvements because of farm management), and binary variables for each variety (representing differences in performance between varieties, i.e., shifts in intercept). In the analysis, each variety is forced to share the same slope while the variety binary variables compare average yield differences between varieties. Ordering variety yield by release year allows a trend estimate on breeder contributions to gains in yield. A key assumption in this analysis takes a wheat variety to be genetically constant year over year. If the same variety is observed improving in yield year over year, then that measurable improvement, controlled for location and weather conditions, is attributable to on-farm management improvements. Likewise, a difference in yield between varieties, controlling for location and weather conditions, allows a measure of variety improvements over time. We use the difference in yield between varieties as our measure of yield improvement because of WSU wheat breeding programs. Michalski (Reference Michalski2012) estimates an increase of 0.28 bushels per acre for each year for SWW, 0.213 for HRW, and 0.15 for HRS, on average. Given the average yield of 96.5 bushels per acre for SWW, 66.7 for HRW, and 46.5 for HRS from 2002 to 2011, the yield increase (J) attributed to WSU wheat breeding programs is 0.29% for SWW, 0.32% for HRW, and 0.32% for HRS.Footnote 9
We calculate quantity produced for Washington, Oregon, and Idaho for varieties developed by WSU and others using the acreage data by variety by state over time from NASS. The varieties were matched to a cultivar list and cross-reference guide put together by Dr. Craig Morris from the Western Wheat Quality Laboratory, USDA (Morris, Reference Morris2007). This reference guide contains information regarding the variety name, release date, source, and origin, among others. The list was complemented with Internet searches for the varieties not included in the list. Even though this list is not comprehensive, it gives a lower bound on the number of acres planted to WSU varieties in Washington, Oregon, and Idaho. We multiplied acres times yield by wheat type to get quantity produced for each wheat class and subregion.
To complete the economic analysis, we use data on expenditures for WSU wheat breeding research obtained from the WSU College of Agriculture, Human, and Natural Resource Sciences for 2001 to 2011. Specifically, expenditures represent all accounts related to wheat breeding research for 2001 to 2011. To incorporate the lagged effect of wheat breeding research, we include wheat breeding research expenditure from 1993 to 2011. We use actual data from 1955 to 1983 and from 2001 to 2011 to create a predictive model and then interpolate expenditures for the missing period 1993 to 2000.
5. Results
Changes in consumer, producer, and total surplus because of a shift in the supply curve for producers are analyzed across WSU wheat varieties. We assume that the shift in the supply curve is because of the yield improvement provided by using WSU wheat varieties. We assume that the price elasticity of supply for the United States is 0.22 (DeVuyst et al., Reference DeVuyst, Koo, DeVuyst and Taylor2001) and the price elasticity of demand for the ROW is −0.53 (Nalley et al., Reference Nalley, Barkley and Chumley2008).Footnote 10 The own- and cross-price elasticities of demand for the U.S. wheat classes are presented in the Appendix in Table A2 (Marsh, Reference Marsh2005). Table A3 contains quantity produced by class in million bushels; Table A4 contains quantity produced by region in million bushels; and Table A5 contains quantity consumed and exports in million bushels, and price in 2011 dollars per bushel by wheat class (see Appendix). We use General Algebraic Modeling System (GAMS Development Corporation, 2011) to solve equations (1)–(7) for the equilibrium prices and quantities using the MILES solver for mixed complementarity problems.
Changes in producer, consumer, and total surplus by wheat class are presented in Table 2, changes in producer surplus by region in Table 3, and changes in consumer and total surplus in Table 4. These changes in surplus are in 2011 million dollars. Tables 5 and 6 present surplus changes in 2011 dollars per acre, and Table 7 presents surplus changes in 2011 dollars per capita. Our results suggest that producer surplus and consumer surplus from the research-induced supply shift because of WSU wheat breeding programs have increased for producers using WSU varieties and consumers in all regions. The specific increase in surplus depends on the region and level of production (Table 3). The largest producer surplus increase for WSU varieties, $2.968 million to $5.107 million per year, is observed for SWW in Washington, which is the majority of the wheat grown in the Pacific Northwest. Producer surplus increases for WSU varieties of SWW in Idaho range from $0.402 million to $1.094 million per year. In Oregon, producer surplus increases by $0.143 million to $0.506 million per year for WSU varieties of SWW. Producers using WSU varieties gain because of the increased yield. Yield increases translate into increases in quantity supplied and decreases in prices. Even with lower equilibrium prices, producers using WSU varieties still observe large gains because of higher yield.
Table 2. Surplus Changes by Wheat Class (2011 Million Dollars)
Note: DUR, durum wheat; HRS, hard red spring; HRW, hard red winter; SRW, soft red winter; SWW, soft white winter.
Table 3. Producer Surplus Changes by Region (2011 Million Dollars)
Note: HRS, hard red spring; HRW, hard red winter; SWW, soft white winter; WSU, Washington State University.
Table 4. Consumer and Total Surplus Changes (2011 Million Dollars)
Table 5. Surplus Changes by Wheat Class (2011 Dollars/Acre)
Note: DUR, durum wheat; HRS, hard red spring; HRW, hard red winter; SRW, soft red winter; SWW, soft white winter.
Table 6. Producer Surplus Changes by Region (2011 Dollars/Acre)
Note: HRS, hard red spring; HRW, hard red winter; SWW, soft white winter; WSU, Washington State University.
Table 7. Consumer and Total Surplus Changes (2011 Dollars per Capita)
Most producers using other varieties experience a decrease in surplus, except for producers of HRS. Decrease in producer surplus for other varieties for HRW and SWW ranges from $1,000 to $333,000 per year for Washington, $4,000 to $250,000 per year for Idaho, and almost zero to $312,000 per year for Oregon. Producer surplus for other varieties of HRS changes very little ranging from a decrease of $4,000 to an increase of $2,000 because of cross-price effects among wheat classes. Producer surplus for SRW decreases by $13,000 to $34,000 per year, whereas producer surplus for DUR increases by $11,000 to $26,000 per year because of the cross-price effects among wheat classes. At an aggregate level, U.S. producer surplus increases by $3.560 million to $6.146 million per year (Table 2). Producer surplus for other varieties mostly decreases given the lower prices and the fact that producers do not benefit from the higher yield of using WSU varieties. This decreased surplus, however, is quite small and almost insignificant in economic terms.
Changes in consumer surplus are positive in all regions, with the magnitude of the increase depending on the number of consumers in each region (Table 4). Changes in consumer surplus by wheat class, however, increase or decrease depending on the class. Consumer surplus increases by $11,000 to $21,000 per year in Washington, $501,000 to $984,000 per year in the United States, and $1.332 million to $2.828 million per year in all regions (domestic consumption and exports of U.S. wheat). Consumer surplus increases from $182,000 to $508,000 for HRW, $1.103 million to $2.287 million for SWW, and $13,000 to $24,000 for SRW (domestic consumption and exports). Consumer surplus decreases from $26,000 to $58,000 from 2002 to 2005 and increases from $15,000 to $90,000 from 2006 to 2011 for HRS. Consumer surplus decreases from $22,000 to $46,000 for DUR. Consumers reap all the benefits of lower prices, and thus, increases in consumer surplus are dependent on the number of consumers in each region and the specific quantity consumed. When prices increase, however, consumers lose, as in the case of HRS from 2002 to 2005 and DUR.
The net effect is always positive for most regions (except Oregon in 2010 and 2011), but not for all classes. Increases in total surplus range from $3.614 million to $6.308 million per year for Washington, from $263,000 to $847,000 per year for Idaho, from $3,000 to $277,000 per year from 2002 to 2009 for Oregon, and from $4.076 million to $7.131 million per year for the United States. Total surplus decreases in Oregon for 2010 and 2011 by $113,000 and $125,000, as fewer acres are planted to WSU varieties. Total surplus for HRW, HRS, and SWW (wheat classes that experience a yield increase because of the WSU wheat breeding programs) always increases, ranging from $0.278 million to $1.323 million for HRW, $153,000 to $659,000 for HRS, and $3.975 million to $7.236 million for SWW per year. Total surplus for SRW and DUR almost always decreases, although changes are very small ranging from an increase of $1,000 to a decrease of $14,000 for SRW, and a decrease of $2,000 to $20,000 for DUR per year, making these changes almost insignificant in economic terms. It should be noted that these two classes are not part of the WSU wheat breeding programs, and thus any yield improvement to these wheat classes is held constant. The decrease in total surplus for SRW and DUR is quite small compared with the overall benefits, as represented in the total surplus changes for the United States as an aggregate and the world. Net effects reflect the balance between consumers, producers using WSU varieties, and producers using other varieties, given that in general surplus increases for the first two groups but decreases for the third one. We observe positive net effects if the number of consumers and producers using WSU varieties outweighs producers using other varieties.
To provide some perspective about the magnitude of these surplus changes, we divide the change in producer surplus by the number of acres to get changes in surplus in dollars per acre and the change in consumer and total surplus by population to get changes in surplus in dollars per capita. Tables 5 and 6 present surplus changes in 2011 dollars per acre, and Table 7 presents surplus changes in 2011 dollars per capita. Overall, producer surplus increases by approximately $1.57 to $2.90 per acre per year in Washington, illustrating the high percentage of Washington producers using varieties developed at WSU. Producer surplus increases by 18 to 73 cents per acre per year in Idaho. Producer surplus increases by 3 to 28 cents per acre per year from 2002 to 2008, with no change in 2009, and decreases by 13 cents in 2010 and 2011 in Oregon, revealing a lower proportion of producers using WSU varieties as compared with Idaho and Washington. On aggregate terms, producer surplus increases from 6 to 10 cents per acre per year in the United States, showing the balance between producers using WSU varieties and other varieties. Results by wheat class are not surprising; most of the benefits go to producers of SWW, $0.72 to $1.24 per acre per year, while producers of all other wheat classes gain at most 5 cents per acre per year, but closer to zero in most years.
To gauge the impact of producer surplus per acre, we calculate the increase in producer surplus for the average wheat farm in Washington, Idaho, and Oregon. We use data on average farm size by state from the 2002 and 2007 USDA Census of Agriculture (2014). Producer surplus increased by $895 in 2002 and $1,105 in 2007 for the average wheat farm in Washington (426 acres in 2002 and 381 acres in 2007). Producer surplus increased by $343 in 2002 and $295 in 2007 for the average wheat farm in Idaho (470 acres in 2002 and 454 acres in 2007). Producer surplus increased by $120 in 2002 and $64 in 2007 for the average wheat farm in Oregon (427 acres in 2002 and 425 acres in 2007). These values vary by state because of the specific producer surplus estimates and average farm size and suggest that the increase in producer surplus because of the WSU wheat breeding programs is economically important.
Total surplus increases for Washington by 54 to 98 cents per capita per year; for Idaho, by 17 to 63 cents per capita per year; and for Oregon, by 1 to 8 cents per capita per year from 2002 to 2008, with no change for 2009, and decreased total surplus by 3 cents for 2010 and 2011. These results show that in Washington, Idaho, and Oregon, most of the benefits go to producers using WSU varieties because increases in total surplus are only slightly higher than increases in producer surplus. Given the large quantities of wheat produced in those states relative to the average consumption per capita, this result is no surprise. Net effects for the United States as an aggregate are increases in total surplus of 1 to 2 cents per capita per year. Overall, in the United States the gains to consumers and producers using WSU varieties are larger than the losses to producers using other varieties.
5.1. Economic Assessment and Returns
To formally evaluate the WSU wheat breeding programs, it is important to compare the benefits with the costs incurred to fund these programs. As mentioned earlier, funds for the WSU wheat breeding programs come from a variety of sources, including state, federal, and university sources and the Washington Wheat Commission. We have presented a detailed analysis of the changes in surplus for several regions because of the use of varieties developed by WSU. Now we compare these net benefits with the cost of research.
To incorporate the lagged effect of wheat breeding research, we assume that 10 years is the time required to develop and release a new variety (it can take 7 to 12 years from the development to the marketing and adoption of a new wheat variety). Average estimates of expenditures for WSU wheat breeding research from 1993 to 2011 range from $0.51 million to $2.09 million per year (Table 8). The benefits are the total surplus changes for all wheat classes (Table 2) for 2002 to 2011. We then use the 5-year average from 2007 to 2011 and assume a decrease of benefits of 10% per year until all benefits are depleted in 2020 (Nalley et al., Reference Nalley, Barkley and Chumley2008).
Table 8. Cost and Social Welfare of WSU Wheat Breeding Programs (2011 Million Dollars)
Note: WSU, Washington State University. Benefits are total surplus changes for all wheat classes (Table 2). Costs are average estimates of expenditures for WSU wheat breeding research.
Following Nalley et al. (Reference Nalley, Barkley and Chumley2008), we calculate the BCR, the NPV, and the IRR. For a baseline scenario, we obtain a BCR of 1.75, an NPV of $9.13 million, and an IRR of 17.75%, assuming a 10% discount rate (Table 9). For completeness, results for 5%, 10%, and 15% discount rates and the different price elasticities of supply for the United States (0.1, 0.22, and 0.5) are presented as well. Hence, we obtain a range of values for the BCR, NPV, and IRR given the range of price elasticities of supply for the U.S. wheat and discount rates considered. Relative to the baseline, the more inelastic U.S. wheat supply and lower discount rates increase total benefits and consequently provide a higher economic impact (BCR equals 5.61, NPV equals $79.043 million, and IRR equals 29.30% when the price elasticity of supply for U.S. wheat is 0.1 and the discount rate is 5%). On the other extreme, a more elastic supply and a very high discount rate decrease total benefits to a level lower than the cost of research (BCR equals 0.53, NPV equals −$4.297 million, and IRR equals 6.39% when the price elasticity of supply for U.S. wheat is 0.5 and the discount rate is 15%). These numbers provide further evidence of the benefits for Washington, the United States, and the world of the WSU wheat breeding programs.
Table 9. Sensitivity Analysis of Economic Impact
a Represents the baseline results.
5.2. Sensitivity Analysis
Because these results are dependent on the specific elasticity values assumed, we conducted further sensitivity analysis of the price elasticities of supply and demand. Table 10 presents results for a range of values for the price elasticity of supply for the United States (0.22, 0.1, 0.5, and 1) and the price elasticity of demand for the ROW (−0.53, −0.1, −1), for changes in consumer, producer, and total surplus, along with the baseline results for 2011.
Table 10. Sensitivity Analysis of Price Elasticities of Supply and Demand for 2011
Note: Changes in surplus are in 2011 million dollars. ROW, rest of the world.
Changes in the value of the price elasticity of supply for the United States effect changes in consumer, producer, and total surplus for Washington, Oregon, Idaho, and the United States as a whole. An inelastic U.S. wheat supply increases the change in total surplus from approximately $6.399 million to $14.117 million in 2011. As the U.S. wheat supply becomes more elastic, the change in total surplus decreases to $2.807 million in 2011. Change in total surplus decreases further to $1.401 million in 2011 when we assume that the price elasticity of supply for the United States is equal to 1.
Changes in the value of the price elasticity of demand for the ROW have a smaller effect on changes in consumer, producer, and total surplus for Washington, Oregon, Idaho, and the United States than do changes in the value of the price elasticity of supply for the United States. When the ROW wheat demand becomes inelastic, the change in total surplus decreases from $6.399 million to $6.311 million in 2011. As the ROW wheat demand becomes elastic, the change in total surplus increases to $6.419 million in 2011. The pattern for Washington and the United States is the same.
6. Conclusions
This article presents welfare effects of the WSU wheat breeding programs using a multiproduct, multiregion, multivariety model including spillover effects to Idaho and Oregon. Given the specific characteristics of the different wheat classes and regions, we believe that it is important to introduce these differences into the model to obtain more accurate results because information is lost by aggregating all wheat classes and regions into one. Finally, we use an improved empirical measure of breeder contributions to yield for WSU varieties, netting out as much as possible management and other effects that overinflate measures of welfare and return on investment.
Overall, consumers in all regions and producers using WSU-developed varieties have increased surplus from yield increases in wheat because of WSU wheat breeding programs, attributable to the combination of lower prices and higher yields of WSU varieties over parts of the study period. However, producers using non-WSU varieties and producers of other wheat classes have in general decreased surplus because of lower prices and constant yields. It is important to note that this model is partial equilibrium, and thus, we are holding constant all other potential yield increases by technology or other wheat breeding programs to concentrate on the effect of WSU wheat breeding programs. Changes in total surplus are positive for all regions.Footnote 11 However, the surplus changes in Idaho and Oregon are much smaller relative to the increases in Washington, and the net effects for the United States are positive.
We have analyzed the important question of whether funds allocated to the WSU wheat breeding programs had a reasonable return. We compare the expenditures in the WSU wheat breeding programs with the benefits calculated with our model, and we find that for each dollar spent there is $1.75 in benefits, considering a 10-year lag to release a new variety. The NPV of the program from 1993 to 2020 is $9.13 million (2011 dollars), and the IRR is 17.75%. Our results are important for WSU and policy makers in general because they provide justification for the current funds allocated to the wheat breeding programs.
Appendix
Table A1. Number of Acres Planted by Region, Wheat Class, and Origin
Table A3. Quantity Produced by Class (Million Bushels)
Table A4. Quantity Produced by Region (Million Bushels)
Table A5. Quantity Consumed, Exports, and Price
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