Estimating product‐specific and multiproduct economies of scale with data envelopment analysis

Nonparametric cost frontier estimation and subsequent analysis of the relative efficiency of firms has historically been conducted without critically examining the shape of the cost frontier. The shape of the cost frontier has been examined using additional parametric estimation methods to recover potential cost savings from multiproduct and product‐specific economies of scale. This paper presents and tests an approach to estimate multiproduct and product‐specific economies of scale using data envelopment analysis. Data for the study are simulated assuming an underlying production technology. Nonparametric estimates of efficiency, multiproduct scale, product specific scale, and scope economies are compared to those of the assumed production technology. Results show that the nonparametric approach accurately estimates multiproduct economies of scale and product‐specific economies of scale under alternative inefficiency distributional assumptions.     

Big is efficient: Evidence from agricultural cooperatives in Ethiopia

In Ethiopia, there is a renewed interest in agricultural cooperatives as an institutional tool to improve the welfare of smallholder farmers. One of the pathways through which cooperatives benefit their members is scale economies. However, the establishment of cooperatives in Ethiopia seems to pay little attention to the size of the organizations. This article aims at investigating the effect of size on cost efficiency of agricultural cooperatives. More specifically, the purpose is to examine whether a single cooperative can serve a given number of farmers at a lower cost than two or more smaller cooperatives could. We employ the concept of cost subadditivity to compare the cost efficiency of large versus small cooperatives, and by extension unilateral actions. We estimate a flexible production technology using cross‐sectional cooperative‐level data. Findings show that costs would drop by 78% to 181% if farmers join hands in relatively large rather than small cooperatives.     

Cooperatives and the Commodity Political Agenda: A Political Economy Approach

Historically, major agricultural cooperatives in Canada have been intimately involved in commodity policy issues. Large cooperatives were created because farmers were upset about the perceived lack of competition in buying farm inputs or selling farm outputs. Often, the resulting cooperative was the organization farmers saw as the logical organization to represent their view of commodity policy or competition policy. As cooperatives grew and diversified, the ability to represent their members coherently across policy issues was hampered. For processing cooperatives in the supply-managed sector, the requirement that the cooperative be the political arm of industry, process product, and provide maximum returns to producer members made for a complicated objective function. This paper focuses on the twin objectives of providing efficient member services and performing political lobbying in a public choice framework. The results are illustrated by the recent history of a supply-managed further-processing cooperative and a diversified grain cooperative.     

Cooperative pricing and scale efficiency: The case of Korean rice processing complexes

Unlike most investor‐owned enterprises, cooperatives often have freedom to choose among a variety of firm objectives. Using 2002–2008 plant‐ and province‐level data, we ask in the present article which of several alternative maximands a Korean cooperative rice processing firm pursues. In contrast to earlier studies, farmer‐member supply functions are incorporated into the cooperative's optimization framework. We show that only large cooperative firms have operated at efficient scale, while small and medium‐sized ones have been scale‐inefficient. Because the latter operate where scale returns are increasing, mergers of small and medium‐sized cooperatives likely would be cost‐reducing and member‐return‐enhancing.     

Estimation of input-oriented technical efficiency using a nonhomogeneous stochastic production frontier model

Technical inefficiency can be modeled as either input‐oriented (IO) or output‐oriented (OO). However, in the estimation of parametric stochastic production frontier models which use maximum likelihood method only the OO measure is used. In this article we consider a simple nonhomogeneous production function and estimate it with both IO and OO specifications. A sample of 80 Spanish dairy data (1993–1998) is used to estimate both models. We consider one output (liters of milk) and four variable inputs (viz., number of cows, kilograms of concentrates, hectares of land, and labor [measured in man‐equivalent units]). We find that returns to scale (RTS) and technical efficiency results derived from these models are different because either estimated technologies are different, or they are evaluated at different points. Using a Monte Carlo analysis we show that if RTS is close to unity differences in the estimates of RTS and technical efficiency are smaller. This holds true for estimates of both RTS and technical efficiency.     

The Coal Crisis in Appalachia: Agrarian Transformation,Commodity Frontiers and the Geographies of Capital

Capital's commodity frontiers strategy has at once woven together regional differences within an expanding world‐system and remade the productive and reproductive activities of humans and the rest of nature. The development of successive commodity frontiers gave way to long waves of economic expansion that have been pivotal to accelerating accumulation and transcending capital's recurrent crises. In short, commodity frontiers are constitutive of world‐ecological moments premised on booms and crises of accumulation. In this paper, I examine the coal commodity frontier in Appalachia, to illustrate the region's history as one of succeeding frontiers in and out of the region over the long twentieth century of American capitalism. I argue that the origin of Appalachia's coal frontier was decisively made through the nineteenth‐century agricultural revolution expressed outside of the region. Appalachia's full‐fledged development was an outcome of capital's under‐reproduction strategies. The crisis of the region's frontier turned on a lack of surplus from under‐reproduction strategies, competing coal basins, economic diversification and competing energy sources. I find that the commodity frontier concept not only illuminates regional political economies and ecologies of difference, but also explains the production of nature of historical capitalism.     

水产养殖业新型农业经营主体全要素生产率研究——基于微观主体面板数据和SFA法

目的 新型农业经营主体是推动农业现代化发展的重要力量,研究其生产效率及变化趋势、分析比较不同类型新型农业经营主体的效率对于推进农业高质量发展、促进乡村振兴具有重要意义。方法 文章聚焦水产养殖领域,基于2018—2021年全国429个养殖生产新型农业经营主体样本面板数据,采用随机前沿生产函数分析了全要素生产率（TFP）,并分解其驱动因素。采用共同随机前沿模型比较分析了龙头企业、农民专业合作社和家庭农场3类新型农业经营主体模式的生产技术效率。结果 （1）增加物质资料、劳动力、固定资产等方面的投入对产出增长有显著促进作用,但增加服务投入并未显著促进产出。（2）TFP增长的动力来源是技术进步,规模报酬率的贡献不大,而技术效率和配置效率的下降对TFP增长起到阻碍作用。（3）龙头企业、合作社、家庭农场3类新型农业经营主体的技术效率各有特点,以群组前沿面为基准时家庭农场的技术效率最高,以共同前沿面为基准时合作社的技术效率最高,以技术差距比表征的技术水平衡量,则龙头企业技术水平最高。结论 建议加强科技投入,提升技术效率,优化成本投入结构,加强各类新型农业经营主体的联合与合作。     

Scale Economies,Technical Efficiency,and the Sources of Total Factor Productivity Growth of Quebec Dairy Farms

Canada's average cost for milk production is among the highest in the world. This paper focuses on specific potential causes by estimating economies of scale and technical efficiency for a panel of Quebec dairy farms that spans the 2001–10 period. Additionally, this paper investigates the sources of total factor productivity growth. The stochastic frontier analysis, based on an input‐distance function, is used to estimate returns to scale relationships across dairy farms. The results show that there is significant economies scale to be exploited and that cost of production could also be reduced by improving technical efficiency. Accordingly, the paper indicates that input‐mix effect is the main source of total factor productivity growth. The results have important implications for Canada's supply management policy, and more specifically for the trading of production quota between dairy farmers, as well as for the delivery of targeted extension services.     

RECENT DEVELOPMENTS IN FRONTIER MODELLING AND EFFICIENCY MEASUREMENT

In this paper recent developments in the estimation of frontier functions and the measurement of efficiency are surveyed, and the potential applicability of these methods in agricultural economics is discussed. Frontier production, cost and profit functions are discussed, along with the construction of technical, allocative, scale and overall efficiency measures relative to these estimated frontiers. The two primary methods of frontier estimation, econometric and linear programming, are compared. A survey of recent applications of frontier methods in agriculture is also provided.     

Synergies or Trade-Offs in University Life Sciences Research

Major legislative, legal, and technological changes paved the way for a period of remarkable growth in the patenting of life science research by U.S. universities in the 1980s and 1990s. Using a multiple-output cost framework and two decades of panel data on ninety-six universities, this article examines whether economies of scope and/or scale are present in university production of three major life science research outputs: journal articles, patents, and doctorates. The results show strong evidence of economies of scale in life science research production with mixed evidence of economies of scope between articles and patents.     

Scale Economies and Inefficiency of U.S. Dairy Farms

This study employs data drawn from the 2000 Agricultural Resource Management Survey, a U.S. Department of Agriculture-sponsored farmers' survey. The article estimates returns to scale relationships across dairy farms of different sizes and across different regions, incorporating variables hypothesized to influence farm performance. Results point to significant scale economies in U.S. dairy farms and underscore the importance of taking account of inefficiency when estimating scale economies. Contrary to previous research, the preferred cost function specification does not show a region of decreasing returns to scale. This finding helps explain why the average size of dairy farms has been increasing.     

Re‐examination of production,cost, and restricted profit functions using quantile regression approach

This article estimates quantile regressions of production, cost, and restricted profit functions using a Cobb‐Douglas functional form with non‐Hicks neutral technology change. In contrast to previous studies, quantile regression estimates reveal the relationship between the independent (production, cost, and restricted profit) and dependent (input quantities and prices) variables at each quantile of the distribution. An empirical application using data from 48 states in United States from 1960 to 2004 indicates the returns to scale and aggregate technology not only differ across production, cost, and restricted profit functions but across states in different quantiles of the distribution. This suggests the traditional measures of returns to scale and aggregate technology are under‐ and overestimated in states at upper and lower quantiles, respectively.     

United States–Cuba Agricultural Relations and Agrarian Questions

In the wake of Cuba's far‐reaching, halting economic reforms, geopolitical rapprochement and trade openings with the United States (US) offer opportunities and risks for Cuban small‐scale farmers and agrarian cooperatives: pressures, paradoxes and potential abound. Meanwhile, on the margins, agro‐ecologically oriented tours bring admiring US students, farmers and agrarian advocates. Cubans concur that the country must solve key problems in its agricultural sector to overcome the contradictions of its agri‐food model, and that this entails more exchange with the US – but in what capacity and on what terms? The current crossroads begs the classic agrarian question, even as it updates it. Having experienced and survived the promises and disasters of both capitalist and communist agricultural economies, Cuban farmers expand the original ‘peasant’ protagonist. As they navigate new non‐state markets and recent re‐entrenchment of state control of prices, Cuban farmers and cooperatives struggle to avoid monopolizing tendencies of unfettered capitalist as well as communist agricultural economies – both of which have historically been ecologically damaging. US agribusiness courts Cuba, but not as mere unidirectional capture: Cubans are inviting and leveraging trade to end the embargo, which is increasingly being modified altogether. Key Cuban agrarian principles of resilience and cooperativismo have persisted through capitalist and communist crises: could they influence prospects for agro‐industrial hegemony from the North?      

Technology and efficiency in a panel of Italian dairy farms: an SGM restricted cost function approach

This article employs a short‐term specification of the symmetric generalised McFadden (SGM) cost function capable of accommodating quasi‐fixed factors and variable returns. Temporary equilibrium and scale economies are investigated while maintaining the consistency of the estimated model with microeconomic theory and approximation properties. It also makes use of a two‐step procedure to estimate first the technology parameters and then time‐varying efficiency at farm level. No distributional assumptions are required on efficiency as we consider a fixed effect model. A balanced panel of Italian dairy farms during the years from 1980 to 1992 serves as the case study. The results suggest a rigid productive structure during the pre‐ and post‐quota period. Moreover, Italian milk producers are found to exhibit considerable excess capacity and rather low input technical efficiency.     

A copula‐based approach to the simultaneous estimation of group and meta‐frontiers by constrained maximum likelihood

Existing approaches to the meta‐frontier estimation consist of two stages where the estimates of the local frontier parameters obtained in the first step are used to estimate meta‐frontier parameters by means of a linear or quadratic minimisation procedure in the second. Since it was shown by Schmidt (Review of Economics and Statistics 58: 238) that the second step is equivalent to constrained maximisation of a likelihood function, we extend this idea and offer a copula‐based approach to the estimation of the parameters of both meta‐ and group frontiers in a one‐step setting. In this way, we ensure a single data‐generating mechanism for the estimated parameters, expand the set of potential meta‐frontiers and account for the fact that shocks to the individual production units may be correlated with shocks to the local technological environment as a whole. We apply our estimation methodology to a data set on the world agriculture and find that the deviations from the group frontiers are positively correlated with deviations from the meta‐frontier, which is a conclusion that is impossible to reach without accounting for stochastic dependence between the two deviation types represented by a copula.     

The Costs and Returns of Agricultural Credit Delivery

Borrower-level data from 963 agricultural lending relationships are used to examine how several factors influence the costs and returns of extending agricultural credit. The results provide estimates of the costs and returns of agricultural lending and the extent to which these costs and returns are influenced by factors such as loan volume, lender/borrower relationship factors, and contract terms. The findings indicate that economies of size exist in agricultural credit delivery and that lenders pass most of these benefits on to borrowers through lower interest rates. In addition, the impacts of lender/borrower relationship factors were relatively small.     

Gains and structural effects of exploiting scale-economies in Norwegian dairy production

In this paper, we present calculations of the economic gains in terms of reduced costs by exploiting scale‐economies in dairy production in Norway, and the effect this would have had on the number of farms. We also explore whether or not optimal scale and unexploited scale‐economies change over time due to scale‐augmenting technical change. The analysis is based on homothetic cost functions estimated by means of data for individual dairy farms for the period 1972–1996. For 1972, we find that, by full exploitation of scale‐economies, the costs could have been reduced by almost 40%, while the number of farms would have been reduced by more than 85%. The number of small farms has been substantially reduced in the period considered. This fact, combined with small scale‐augmenting technical change, implies that the gains and structural effects of exploiting scale‐economies have decreased over time. In 1996, costs could have been reduced by close to 30% by full exploitation of scale‐economies, while the number of farms would have been reduced by slightly more than 70%. Thus, both gains and structural effects are substantially less than in 1972. Nevertheless, the calculated gains for 1996 make almost 5 billion NOK. This corresponds almost exactly to the total public support to the dairy farms in 1996. The unexploited scale‐economies are largely due to the agricultural policy. Thus, a substantial share of the same can be considered as part of the‘price’ the Norwegian society has to pay for this policy. In addition, there are likely to be large hidden costs of this policy due in particular to the quota system and other direct production regulations. They imply that technical innovations and other efficiency‐improving investments requiring increased production to be profitable are not carried out. This is the more likely explanation for the extremely poor efficiency development in Norwegian dairy production in the period studied.     

Technical efficiency and productivity of maize producers in eastern Ethiopia: a study of farmers within and outside the Sasakawa-Global 2000 project

This paper investigates the technical efficiency of two samples of maize producers in eastern Ethiopia, one involving farmers within the Sasakawa-Global 2000 project and the other involving farmers outside this program. The study uses stochastic frontier production functions in which the technical inefficiency effects are assumed to be functions of the age and education of the farmers, together with the time spent by extension advisers in assisting farmers in their agricultural production operations. For the cross-sectional data obtained for the 1995/96 agricultural year, Cobb-Douglas stochastic frontiers are found to be adequate representations of the data, given the specifications of the translog stochastic frontiers for farmers within and outside the project. The empirical results indicate that farmers within Ihe SO 2000 project are more technically efficient than farmers outside the project, relative to their respective technologies. The mean frontier output of maize lor farmers within the SG 2000 project is significantly greater than that for the farmers outside the project.     

Are small‐scale rice farmers in eastern India really inefficient? Examining the effects of microtopography on technical efficiency estimates

The article analyzes how controlling for differences in land types (defined by position on a low‐scale toposequence) affects estimates of farm technical efficiency for rice farms in eastern India. Contrasting previous research, we find that farms are considerably more technically efficient when efficiency estimates are carried out at the plot level and control for plot characteristics rather than at the farm level without such controls. Estimates show farms cultivating modern varieties are technically efficient and plots planted with traditional varieties on less productive lands (upland and midupland) operate close to the production frontier. Significant technical inefficiency is found on more productive lands (medium and lowland plots) planted with traditional rice varieties. The finding that these smallholder rain‐fed rice farms are efficient cultivators on some plots contrasts with previous findings of farm‐level inefficiency (i.e., rejects overarching explanations linked to farm operator ignorance or lack of motivation) and suggests more complex explanations are required to address the inefficiency that is present.