Estimating technical efficiency under unobserved heterogeneity with stochastic frontier models: application to northern German dairy farms

This article uses panel data estimation techniques to examinetechnical efficiency of individual dairy farms in northern Germany.To the extent that agricultural production is characterisedby heterogeneous production conditions, estimation techniquesthat do not account for unobserved heterogeneity produce biasedefficiency estimates. We therefore estimate a number of conventionalpanel data models and Greene's recently proposed ‘true’random-effects model, as well as an extension of the model toascertain the effects of different specification on the productionfunction and efficiency estimates. Our results appear to supporttheoretical expectations and previous findings according towhich a specification that is both time-variant and also controlscorrelations between unobserved heterogeneity and the explanatoryvariables avoids heterogeneity bias and thus ensures consistentefficiency estimates.     

Determinants of efficiency of vegetable production in smallholder farms: The case of Ethiopia

Improving production efficiency remains as a plausible means of increasing productivity when resource reallocation, and the creation and adoption of new technologies are limited. Technical, allocative and economic efficiencies are derived from a sample of smallholder vegetable farmers in Ethiopia using parametric and non-parametric methods. The results reveal that the two methods yield similar estimates and the existence of substantial inefficiencies in production as well as efficiency differentials among farmers. The analysis of the determinants of efficiency of vegetable production using regression models show that low asset ownership, illiteracy, large family size, inadequate extension contacts, small farm size, age, low off/non-farm income and high consumer spending are the major socio-economic factors causing inefficiency of vegetable production in the study areas. A comparison of the market-driven (vegetables) with the whole-farm (crops and livestock) production efficiency indicates that lower economic efficiency scores for the former might be related to the limited access to capital markets, high consumer spending, and large family size.     

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.     

Impact of debt structure on production efficiency and financial performance of Broadacre farms in Western Australia

Farming activities are often financed using debt, yet empirical studies investigating the relationship between farm debt structure and performance are still rare. Using a 10 year unbalanced panel of Broadacre farms in Western Australia, we relate the impact of long‐term debt, short‐term debt and tax liability on farm performance measured by input‐oriented technical efficiency and return on assets. We find farm technical efficiency is positively related to short‐term debt, tax liability and capital investment, but negatively related to off‐farm income generating activities. Long‐term debt has no effect on production efficiency and return on assets. These results are robust to both parametric and nonparametric methods of estimation.     

鲤科鱼类池塘养殖技术效率的研究

本文应用随机边界产量函数对我国鲤科鱼类池塘养殖的技术效率进行了分析。通过对全国7个省283个渔场的鲤科鱼类池塘养殖生产情况的分析，表明我国鲤科鱼类池塘养殖总体技术效率水平较高，平均技术效率水平达到70．8％。本文还对影响技术效率的主要因子进行了分析，并就如何进一步提高我国水产养殖生产的技术效率进行了探讨。     

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.     

Decomposition of output growth in the Tunisian olive-growing sector: A frontier production function approach

The aim of this paper is to investigate the relative contribution of technical efficiency, technological change, and increased input use to the output growth of the Tunisian olive oil growing farms, using a stochastic frontier production function approach applied to panel data for the period 1995-1997. The proposed methodology is based on the use of a flexible translog functional form. Results indicate that technical efficiency of production in the sample of olive producing farms investigated ranges from a minimum of 24.8% to a maximum of 84.6% with an average technical efficiency estimate of 48.5%. This suggests that olive producers may increase their production by as much as 51.5% through more efficient use of production inputs. Further, the production is characterized by decreasing returns to scale, which on average was 0.8. Finally, investigation of the sources of production growth reveals that the contribution of conventional inputs (labor, in particular) and technical change are found to be the main source of that growth, since total factor productivity increased during the study period, but at a slowing rate.     

Cost and environmental efficiency of rice farms in South Korea

We examine cost and nutrient use efficiency of farms and determine the cost to move farms to nutrient‐efficient operation using Data Envelopment Analysis (DEA) with a dataset of 96 rice farms in Gangwon province of South Korea from 2003 to 2007. Our findings show that improvements in technical efficiency would result in both lower production costs and better environmental performance. It is, however, not costless for farms to move from their current operation to the environmentally efficient operation. On average, this movement would increase production costs by 119% but benefit the water system through an approximately 69% reduction in eutrofying power (EP). The average estimated cost of each EP kg of aggregate nutrient reduction is approximately one thousand two hundred won. For technically efficient farms, there is a trade‐off between cost and environmental efficiency. We also find that the environmental performance of farms varies across farms and regions. We suggest that agri‐environmental policies should be (re)designed to improve both cost and environmental performance of rice farms.     

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.     

Measuring technical efficiency in the stochastic varying coefficient frontier model

Due to the assumption that the best practice methods refer to each input separately instead of the whole set of inputs used by a firm, the benchmark technology as defined in the stochastic varying coefficient frontier model may be infeasible and theoretically improper whenever the maximum response coefficients are not coming from the same production unit. To overcome this problem, we propose alternative measures of output-oriented and single-factor technical efficiencies inspired from the maximum likelihood formulation of the nonneutral frontier model. The empirical results indicate that there are significant differences between the two in terms of the estimated efficiency scores but not significant differences we detected in terms of the efficiency ranking.     

Stochastic frontier analysis of productive efficiency in China's Forestry Industry

Forest resources are vital to the development of green economics. Given the booming development of China's forestry industry and its ambitious reforestation efforts in the developing world, this paper is the first to use the output distance function to synthetically consider the economic and ecological outputs of China's forestry industry, and discuss its productive efficiency with a stochastic frontier model. Control and environmental variables are incorporated to capture heterogeneity in China's forestry industry, which helps us get an unbiased estimation. The empirical results show that there was no obvious efficiency disparity among China's economic regions except Northeastern China, and the state-owned forestry structure has a significantly negative effect on productive efficiency in China's forestry industry. Moreover, provinces with poor productive performance in the forestry industry such as Inner-Mongolia, Heilongjiang, and Hebei have been identified and their individual characteristics regarding productive efficiency have also been analyzed. The findings in this paper have targeted and practical implications for the development of China's forest green economy.     

Measuring technical efficiency of Spanish pig farming: Quantile stochastic frontier approach

The pig meat production plays a significant role in the Spanish agrofood system. The assessment of the efficiency performance with which farmers are operating is necessary to define adequate policy and management strategies. In this context, this study aimed to determine the technical efficiency (TE) performance of pig farms and to examine the key factors that may affect the production system in Spain. To do so, the analysis relies on the quantile stochastic frontier model using a sample of Spanish pig farms. Results show a significant difference between production frontier parameters across the selected quantiles, which support the relevance of using the quantile regression approach. The optimal quantile for the stochastic frontier indicates an average TE level of 75%. In addition, empirical findings suggest that pig farmers in Spain give more importance to the adoption of high technology to improve their economic and technical performance as well as their competitiveness at the European pig market.     

Sustainable agricultural intensification practices and cost efficiency in smallholder maize farms: Evidence from Ethiopia

Sustainable agricultural intensification (SAI) practices have been promoted in developing countries to improve farm productivity and environmental services. However, it is still unclear whether use of a combination of SAI practices has a significant influence on the cost efficiency of smallholder farms. This study investigates whether the cost efficiency of smallholder maize producers in Ethiopia depends on use of input-augmenting and agronomic SAI practices. Stochastic cost frontier models that account for heterogeneity across farms are used for estimation. We find that the use of individual SAI practices increases cost while the combined use of the practices reduces it. The marginal effect on cost reduction is substantial when SAI practices are set at their sample maximum levels. Overall, the results demonstrate the benefit of using a combination of SAI practices in minimizing production cost while addressing the adverse effects of soil degradation and climate variability. To enhance food security, smallholder farm incomes and the sustainability of production in developing countries, policy programs should focus on promoting packages of input-augmenting and agronomic SAI practices.     

Technical and scale efficiency of crop and livestock farms in Poland: does specialization matter?

The technical and scale efficiency of Polish farms is analyzed using data envelopment analysis. Efficiency differences are measured according to farm specialization, in crop or livestock, at two points in time during transition, 1996 and 2000. The efficiency results are reviewed in light of confidence intervals provided by bootstrapping. Livestock farms are found to be, on average, more technically and scale efficient than crop farms. Scale efficiency is high for both specializations. Technical inefficiency appears mostly to be due to “pure technical” rather than “scale” inefficiency, and thus attributable to inefficient management practices. The evidence suggests that the low‐educational attainment of people engaged in agriculture is one important reason for these inefficient practices. In 2000, 64% of livestock farms and 86% of crop farms were operating under increasing returns to scale. Improvements in the land lease legislation and changes to the policy support to farmers' pensions could stimulate the land market and remove the incentives to keep a fragmented operational structure.     

Feed use intensification and technical efficiency of dairy farms in New Zealand

In recent years, the traditionally pasture‐based dairy farms in New Zealand have become more intensive by using higher proportions of supplementary feed. This trend has been attributed to a range of factors, such as productivity enhancement, overcoming pasture deficits and the improvement of body condition scores. However, there is a lack of knowledge as to how feed use intensification affects the technical efficiency of dairy farms in New Zealand. This paper addresses the research gap by estimating the impact of feed use intensification on the technical efficiency of New Zealand dairy farms, using a fixed effects stochastic production frontier model and a balanced panel of 257 farms from 2010 to 2013. The empirical results show that technical efficiency on New Zealand dairy farms is positively and significantly influenced by feed use intensification, herd size and milking frequency.