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Measuring Technical Efficiency under Factor Non-Substitution: A Stochastic von Liebig Crop Response Model

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Author Info
Margarita Genius () (Department of Economics, University of Crete)
Maria Mavraki (Department of Economics, University of Crete)
Vangelis Tzouvelekas (Department of Economics, University of Crete)

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Abstract

The present paper develops an econometric model for measuring input-oriented technical efficiency when the underlying technology is characterized by the lack of substitution between inputs. In this instances, Farrell’s radial measure of technical inefficiency is inappropriate as it may be possible to identify a technical inefficient bundle as technical efficient. Instead Russell’s non-radial indices can adequately measure technical inefficiency in factor limitation models. To this end, a disequilibrium model augmented with a regime specific technical inefficiency term is proposed and its likelihood function derived together with the computation of technical efficiency under specific distributional assumptions. The framework under which the model is proposed is the well known von Liebig hypothesis that analyses crop response to different levels of fertilizer nutrients. Application of the proposed stochastic von Liebig crop response model to the experimental data of Heady and Pesek (1954) points out to the fact that technical inefficiency can arise for a subset of the nutrients considered.

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File URL: http://economics.soc.uoc.gr/wpa/docs/VonLiebig.pdf
File Format: application/pdf
File Function: First version, 2006
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Publisher Info
Paper provided by University of Crete, Department of Economics in its series Working Papers with number 0608.

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Length: 25 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:crt:wpaper:0608

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This page was last updated on 2009-11-20.


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