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Estimation and decomposition of inefficiency when producers maximize return to the outlay: an application to Norwegian fishing trawlers

Author

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  • Subal Kumbhakar
  • Frank Asche
  • Ragnar Tveteras
Abstract
This paper deals with estimation of a production technology where endogeneous choice of input and output variables is explicitly recognized. In particular, we assume that producers maximize return to the outlay (RO). For simplicity and tractability we start with a Cobb–Douglas transformation function with multiple inputs and outputs and show how the first-order conditions of RO maximization can be used to derive an estimating equation which is nothing but a partial input productivity equation. This equation does not suffer from the econometric endogeneity problem although the output and input variables are endogenous. First, we consider the case where producers are fully efficient allocatively but technically inefficient. The model is estimated using a single equation stochastic frontier approach. The model is then extended to allow allocative inefficiency and it is estimated as a system using generalized method of moment. Algebraic expressions are derived to decompose the effect of technical and allocative inefficiencies on RO. We also consider translog specifications that are estimated as (1) a single equation frontier model as well as (2) a system. We use a panel of Norwegian fishing trawlers data to estimate the model. Outputs are different species caught while inputs are labor and vessel size. We also control for number of days of operation, age of the vessel and year effects. Empirical results show that the average rate of RO is reduced by about 20 to 30 % due to technical inefficiency. On the other hand, average allocative efficiency is found to be about 78 %. The average overall efficiency is found to be around 60 %. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Subal Kumbhakar & Frank Asche & Ragnar Tveteras, 2013. "Estimation and decomposition of inefficiency when producers maximize return to the outlay: an application to Norwegian fishing trawlers," Journal of Productivity Analysis, Springer, vol. 40(3), pages 307-321, December.
    • Handle: RePEc:kap:jproda:v:40:y:2013:i:3:p:307-321
    DOI: 10.1007/s11123-012-0336-5
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    References listed on IDEAS

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    2. Lien, Gudbrand & Kumbhakar, Subal C. & Alem, Habtamu, 2018. "Endogeneity, heterogeneity, and determinants of inefficiency in Norwegian crop-producing farms," International Journal of Production Economics, Elsevier, vol. 201(C), pages 53-61.
    3. Luis Orea & Inmaculada Álvarez-Ayuso & Luis Servén, 2024. "The Structural and Productivity Effects of Infrastructure Provision in Developed and Developing Countries," Advances in Econometrics, in: Essays in Honor of Subal Kumbhakar, volume 46, pages 265-308, Emerald Group Publishing Limited.
    4. Orea, Luis, 2019. "The Econometric Measurement of Firms’ Efficiency," Efficiency Series Papers 2019/02, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    5. Maximilian Koppenberg & Stefan Hirsch, 2022. "Markup estimation: A comparison of contemporary methods at the example of European food retailers," Agribusiness, John Wiley & Sons, Ltd., vol. 38(1), pages 108-133, January.
    6. Lukáš Čechura & Heinrich Hockmann, 2017. "Heterogeneity in Production Structures and Efficiency: An Analysis of the Czech Food Processing Industry," Pacific Economic Review, Wiley Blackwell, vol. 22(4), pages 702-719, October.
    7. Diekert , Florian & Lund , Kristen & Schweder, Tore, 2014. "From Open-Access to Individual Quotas: Disentangling the Effects of Policy Reform and Environmental Changes in the Norwegian Coastal Cod Fishery," Memorandum 07/2014, Oslo University, Department of Economics.
    8. Orea, Luis & Wall, Alan, 2015. "A parametric frontier model for measuring eco-efficiency," Efficiency Series Papers 2015/02, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    9. Ogundari, Kolawole, 2014. "The Paradigm of Agricultural Efficiency and its Implication on Food Security in Africa: What Does Meta-analysis Reveal?," World Development, Elsevier, vol. 64(C), pages 690-702.
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    More about this item

    Keywords

    Distance function; Transformation function; Technical inefficiency; Allocative inefficiency; C51; D24;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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