Estimating multiproduct and product‐specific scale economies for agricultural cooperatives

This article estimates multiproduct and product‐specific scale economies, scope economies, and cost efficiency with single and annual cost frontiers using a nonparametric approach. Multiproduct scale and scope economies are found that suggests increasing scale and product diversification can reduce cost for agricultural cooperatives. Many agricultural cooperatives experience economies of scale indicating that variable returns to scale as opposed to constant returns to scale is the appropriate technology for modeling agricultural cooperatives. Product‐specific scale economies for all outputs are close to one indicating that individual outputs are operating close to constant returns to scale. Annual frontier estimates show that cooperatives have become less cost efficient over time, but scale and scope economies remain relatively consistent across years. Further, results show that economic measures obtained from the single frontier are statistically different from those measures calculated from annual frontiers, suggesting that the cost frontier has shifted over time. The trade‐off between cost efficiency and multiproduct scale economies indicates that smaller cooperatives can reduce a higher percentage of cost by increasing the scale of operations rather than just becoming cost efficient. Because larger incentives exist for small cooperatives to increase scale, mergers will likely continue until economies of scale are exhausted in the industry.     

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.     

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.     

Technical efficiency of Kansas arable crop farms: a local maximum likelihood approach

This study uses local maximum likelihood (LML) methods recently proposed by Kumbhakar et al. (2007) to assess the technical efficiency of arable crop Kansas farms. LML techniques overcome the most relevant limitations associated to mainstream parametric stochastic and nonparametric frontier models. LML allows deriving farm‐level frontier parameter estimates. The relevance of using localized estimates is evidenced by the observed heterogeneity in production technologies. Technical efficiency scores derived from the LML approach [0.905] are higher than those of the DEA model under CRS [0.808] and SFA [0.804] and close to DEA‐VRS [0.917] ratings. Deriving reliable information about farm efficiency performance is relevant to identify inefficient farms and define adequate policy and management strategies. The use of refined methods has thus important implications.     

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.     

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.     

On the nature and magnitude of cost economies in hog production

In this article, we assess the impact of farm size on production cost and evaluate the marginal costs and margins by considering that input prices may change with the scale of production. By using French hog farm data, we estimate a system of equations including a feed price function, input demand functions, and an output supply function based on a technology approximated by a combined generalized Leontief‐Quadratic form. Our results suggest that the marginal costs are over‐estimated when the adjustment of the feed unit prices to a change in farm size is not controlled for. More specifically, the cost economies for large farms (enjoying the highest profits) arise primarily from lower feed prices, with technological scale economies having little impact. In contrast, farms with no hired labor exhibit technological scale economies and reach higher price‐cost margins compared to larger farms.     

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.     

Small‐scale commodity frontiers: The bioeconomy value chain of castor oil in Madagascar

The European Commission defines the bioeconomy as a “transition economy which seeks to increase efficiency, optimize use and decrease environmental impact through the reduction of waste and greenhouse gas emissions.” However, attempts to substitute or control nature through efficient bio‐based technology have not lived up to expectations and much of the industry still relies on globally sourced biomass to drive the bioeconomy. This article examines the social and political economic relations surrounding small‐scale production of the feedstock castor oil plant (castor, Ricinus communis) in the deep south of Madagascar. Theorizing the bioeconomy through the lens of a “small‐scale commodity frontier,” it builds from recent injunctions by Jason Moore to show how the appropriation of cheap nature (including paid and unpaid labour) is both historically and geographically co‐produced. The castor value chain is held up as a way to transform regional economies and a “silver bullet” to alleviate poverty and address food security in some of the most economically marginal areas of Madagascar. We adopt a regional and feminist political ecology approach to illustrate what is behind this discursive cloak of “development imaginaries,” making visible the social relations surrounding castor production and demonstrating the historical marginalization involved in producing the frontier.     

Sawmill production in the interior of British Columbia: A stochastic ray frontier approach

We examined the productive efficiency of the interior sawmilling industry in British Columbia using stochastic frontier analysis. Prior sawmilling studies using this method have neglected the multi-output nature of sawmills. To accommodate both lumber and chips as outputs, we used a ray production function and adopted it into the stochastic frontier framework. A translog functional form was specified with three inputs (i.e., capital, labour, and roundwood) and applied to five years (2003–2007) of mill specific production data. The ray production function is flexible allowing factor productivity to vary with the output mix. Results indicated the presence of both economies of scale and technical inefficiency. This suggested that a long-run equilibrium had not yet been reached during this time and might explain recent restructuring occurring in this region.     

Dynamic Efficiency Measurement: Theory and Application

Nonparametric dynamic measures of production efficiency are developed in the context of an adjustment-cost technology and intertemporal cost minimization. Bounds on each efficiency measure are derived for each firm using a nonparametric revealed preference approach. Long-run efficiency measures indicate the relative efficiency of both variable and dynamic factors while short-run measures of efficiency indicate whether variable inputs are employed efficiently in the production process. The efficiency measures are temporal in nature by describing the degree of efficiency of the firm at a particular point along its adjustment path. The empirical implementation is illustrated for a balanced panel of Pennsylvania dairy operators during 1986–1992.     

产品质量认证能否提高农户技术效率——基于山东、河北典型蔬菜种植区的证据

本文基于河北廊坊、山东寿光两地典型蔬菜种植区的1388份微观数据,利用超越对数随机前沿生产函数构建技术效率微观分析框架,在此基础上运用倾向得分匹配法构建反事实假设,估计三种不同类型的产品质量认证对农户技术效率的平均处理效应,并基于回归调整方法对产品质量认证影响农户技术效率的内部机制进行分解,评价产品质量认证对技术效率提升的具体作用路径。研究结果表明:有机农产品认证与绿色食品认证对农户技术效率具有显著的提升作用,农户的技术效率分别提高0.218和0.196;而无公害农产品认证没有显著提升农户的技术效率。考虑到某些不可观测的因素并采用稳健性估计后,该结论仍然稳健成立。此外,对效率增长的分解结果显示,有机农产品认证和绿色食品认证对技术效率的提升作用按贡献率大小依次来源于溢价激励的提升、成本压力的作用、组织支持的增强。     

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.     

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.     

Productivity improvement in Korean rice farming: parametric and non‐parametric analysis†

The published empirical literature on frontier production functions is dominated by two broadly defined estimation approaches – parametric and non‐parametric. Using panel data on Korean rice production, parametric and non‐parametric production frontiers are estimated and compared with estimated productivity. The non‐parametric approach employs two alternative measures based on the Malmquist index and the Luenberger indicator, while the parametric approach is closely related to the time‐variant efficiency model. Productivity measures differ considerably between these approaches. It is discovered that measures of efficiency change are more sensitive to the choice of the model than are measures of technical change. Both approaches reveal that the main sources of growth in Korean rice farming have been technical change and productivity improvements in regions of the country that have been associated with low efficiency.     

Technology choice and efficiency on Australian dairy farms*

Deregulation of the Australian dairy industry, specifically the removal of price subsidies to ‘market milk’, as well as ongoing drought in many dairy regions, has placed considerable pressure on farm cash income and a search for ways in which dairy farms can be made to operate more efficiently. Using traditional farm survey data and a unique biannual data set on farm technology use, this paper estimates a stochastic production frontier and technical efficiency model for dairy farms in New South Wales and Victoria, determining the relative importance of each input in dairy production, the effects of key technology variables on farm efficiency, and overall farm profiles based on the efficiency rankings of dairy producers. Results show that production exhibits constant returns to scale and although feed concentration and the number of cows milked at peak season matter, the key determinants of differences in dairy farm efficiency are the type of dairy shed used and the proportion of irrigated farm area. Overall farm profiles indicate that those in the ‘high efficiency group’ largely employ either rotary or swing‐over dairy shed technology and have almost three times the proportional amount of land under irrigation.     

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.     

Modern Rice Technologies and Productivity in the Philippines: Disentangling Technology from Managerial Gaps

Using cross‐sectional farm‐level data from 3,164 rice‐farming households in the Philippines, we measure the impact of modern rice technologies on farm productivity while disentangling technology gaps (the distance between production frontiers) from managerial gaps (differences in technical efficiency). To do so, we combine a recently developed stochastic production frontier framework with impact evaluation techniques to control for biases stemming from observables and unobservables. First, we find an adequate control group using propensity score matching to mitigate the effect of biases from observable variables. Then, we test for biases that might arise from unobserved variables using a stochastic frontier framework corrected for self‐selection. Finally, we estimate meta‐frontiers to assess productivity differences between adopters and non‐adopters. The analysis shows that the adoption of certified seeds has a significant and positive impact on productivity, efficiency and net income in rice farming.     

Frontier production functions and technical efficiency: a survey of empirical applications in agricultural economics

The modelling and estimation of frontier production functions has been an important area of econometric research during the last two decades. Försund, Lovell and Schmidt (1980) and Schmidt (1986) present reviews of the concepts and models involved and cite some of the empirical applications which had appeared to their respective times of publication. This paper seeks to update the econometric modelling of frontier production functions associated with the estimation of technical efficiency of individual firms. A survey of empirical applications in agricultural economics is an important part of the paper.