Calculating the scale elasticity in DEA models.

In economics scale properties of a production function is charcterised by the value of the scale elasticity. In the field of efficiency studies this is also a valid approach for the frontier production function. It has no good meaning to talk about scale properties of inefficient observations. In the DEA literature a qualitative characterisation is most common. The contribution of the paper is to apply the concept of scale elasticity from multi output production theory in economics to the piecewise linear frontier production function, and to develop formulas for calculating values of the scale elasticity for radial projections of inefficient observations. Illustrations also on real data are provided, showing the differences between scale elasticity values for the input- and output oriented projections and the range of values for efficient observations.Scale elasticity; DEA, production theory; Farrell efficiency measures

Productivity change using growth accounting and frontier-based approaches – Evidence from a Monte Carlo analysis

This study presents some quantitative evidence from a number of simulation experiments on the accuracy of the productivity growth estimates derived from growth accounting (GA) and frontier-based methods (namely Data envelopment Analysis-, Corrected ordinary least squares-, and Stochastic Frontier Analysis-based Malmquist indices) under various conditions. These include the presence of technical inefficiency, measurement error, misspecification of the production function (for the GA and parametric approaches) and increased input and price volatility from one period to the next. The study finds that the frontier-based methods usually outperform GA, but the overall performance varies by experiment. Parametric approaches generally perform best when there is no functional form misspecification, but their accuracy greatly diminishes otherwise. The results also show that the deterministic approaches perform adequately even under conditions of (modest) measurement error and when measurement error becomes larger, the accuracy of all approaches (including stochastic approaches) deteriorates rapidly, to the point that their estimates could be considered unreliable for policy purposes.

Converting to organic farming in France: Is there a selection problem?

Using a sample of French crop farms during the 1999-2006 period, we test whether less technically efficient farmers are more likely to engage in organic farming in order to benefit from conversion subsidies. Despite some limitations in our data, we find no evidence of such selection effect. On the contrary, our estimation results indicate that more technically efficient farmers are more likely to convert to organic farming. This finding is found to be robust to the method of calculation of efficiency scores, either parametric or non-parametric. This study also confirms that farm’s characteristics (education, farm size and legal status) and farmers’ practices under conventional farming do impact the probability of conversion to OF.Organic farming, technical efficiency, subsidies, selection, France, Agricultural and Food Policy, Crop Production/Industries, Farm Management, Land Economics/Use,

Firm and Industry Level Profit Efficiency Analysis Under Incomplete Price Data: A Nonparametric Approach based on Absolute and Uniform Shadow Prices

We discuss the nonparametric approach to profit efficiency analysis at the firm and industry levels in the absence of complete price information, and propose two new insights. First, choosing one commodity (whose price is known) as a numeraire good enables us to measure profit inefficiency in absolute monetary terms. Second, imposing a ‘Law of One Price’ (LoOP) constraint that all firms should be evaluated in terms of the same input-output prices allows us to aggregate firm-level profit inefficiencies to the overall industry inefficiency. Moreover, the LoOP restrictions increase the discriminatory power of the method by better capturing firm-level allocative inefficiencies. Besides the measurement of profit losses, the presented approach enables one to recover absolute price information from quantity data. We conduct a series of Monte Carlo simulations to study the performance of the proposed approach in controlled production environments.Profit Efficiency, Industry Inefficiency, Data Envelopment Analysis, Absolute Prices, Law of One Price, Weight Restrictions, Simulation

Technical efficiency of rice producing households in the Mekong Delta of Vietnam

Technical Efficiency (TE) is defined as an estimation of the ability of a household to produce the maximum output with the given inputs. It is usually estimated by using the data envelopment analysis (DEA) and stochastic frontier analysis (SFA). Data collected from 261 rice farming households in the Mekong Delta were used in the empirical analysis. Results show that the average TE among the surveyed households is above 76% in both the Constant (CRS) and the Variable Returns to Scale (VRS). The average scale efficiency score for these rice producing households is nearly one. The determinants of the quantity of rice or yields and of the TE for the households are significantly related with some variables such as the plot size, seed, and hired labor cost. However, technical inefficiency significantly depends on the farmers’ farming experience and adoption of advanced farming practices.Technical efficiency, rice-producing household

ESTIMATING THE EFFECT OF WATER CHARGE INTRODUCTION AT SMALL-SCALE IRRIGATION SCHEMES IN NORTH WEST PROVINCE, SOUTH AFRICA

In South Africa water law has recently changed, adopting the principle of water as an economic good, thus levying charges on its use. For small-scale irrigators this is an important change, because currently their water use is entirely subsidized. In the coming years, subsidies will gradually decrease and an essential expected benefit of this policy change is that water use efficiency will rise, leading to reduced consumption and possible reallocation of the water saved. The exact impact of the water pricing policy on the irrigation water use or on the farmers' production system is however unclear. This study introduces a new methodology, based on data envelopment analysis, that allows estimating the effects on the agricultural production process and water demand of introducing or raising a water price. It is revealed that a large majority of the farmers does not adjust water use. Production costs however were shown to increase significantly.Production Economics, Resource /Energy Economics and Policy,

Competitive, but too small - productivity and entry-exit determinants in European business services

The paper investigates whether scale effects, market structure, and regulation determine the poor productivity performance of the European business services industry. We apply parametric and nonparametric methods to estimate the productivity frontier and subsequently explain the distance of firms to the productivity frontier by market characteristics, entry- and exit dynamics and national regulation. The frontier is assessed using detailed industry data panel for 13 EU countries. Our estimates suggest that most scale advantages are exhausted after reaching a size of 20 employees. This scale inefficiency is persistent over time and points to weak competitive selection. Market and regulation characteristics explain the persistence of X-inefficiency (sub-optimal productivity relative to the industry frontier). More entry and exit are favourable for productivity performance, while higher market concentration works out negatively. Regulatory differences also appear to explain part of the business services' productivity performance. In particular regulation-caused exit and labour reallocation costs have significant and large negative impacts on the process of competitive selection and hence on productivity performance. Overall we find that the most efficient scale in business services is close to 20 employees and that scale inefficiencies show a hump-shape pattern with strong potential scale economies for the smallest firms and diseconomies of scale for the largest firms. The smallest firms operate under competitive conditions, but they are too small to be efficient. And since this conclusion holds for about 95 out of every 100 European business services firms, this factor weighs heavily for the overall productivity performance of this industry