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Measuring productivity differentials – An application to milk production in Nordic countries

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Author Info
Sipilainen, T.
Kuosmanen, T.
Kumbhakar, S.C.

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Abstract

The aim of this paper is to analyse the regional productivity differentials on dairy farms in Denmark, Finland and Sweden. Several methods have been suggested for analysing productivity differentials in agriculture between groups of farms or countries. Hayami [5] and Hayami and Ruttan [7] suggested the meta-production function approach. This idea has been further developed by Lau and Yotopoulos [9] and Fulginity and Perrin [13]. Battese and Rao [2] suggested the meta-frontier analysis for these comparisons. One of the advantages of meta-frontiers with respect to metaproduction functions is that they are able to separate technological differences from the differences in technical efficiency. Battese et al. [5] and O’Donnell et al. [16] have extended this idea and developed both parametric and nonparametric approaches. In this paper, we extend the metafrontier analysis to the concave nonparametric least squares estimation of the production function suggested by Kuosmanen [18,19]. In addition, we compare the results with the approach where the estimation of meta-frontier can be avoided. The reference can also be the maximum output providing technology that is the one that yields the maximum estimated output, given inputs [21]. In this case the estimation can be based either on average or frontier production functions. The farm level data is obtained from the EU’s Farm Accountancy Data Network data set for Denmark, Finland and Sweden. They cover 954 dairy farms in 2003. The results suggest that different method provide slightly different results but in all approaches productivity differentials are considerable in favour of Danish farms. In addition, the Danish technology is not only dominating at the mean but also at most of the data points.

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Publisher Info
Paper provided by European Association of Agricultural Economists in its series 2008 International Congress, August 26-29, 2008, Ghent, Belgium with number 44277.

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Date of creation: 2008
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Handle: RePEc:ags:eaae08:44277

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Related research
Keywords: productivity; technical efficiency; meta-frontier; Productivity Analysis;

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References listed on IDEAS
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  1. Lau, Lawrence J. & Yotopoulos, Pan A., 1989. "The meta-production function approach to technological change in world agriculture," Journal of Development Economics, Elsevier, vol. 31(2), pages 241-269, October. [Downloadable!] (restricted)
  2. Derek D. Headey & D.S. Prasada Rao & Mohammad Alauddin, 2004. "Explaining Agricultural Productivity Levels and Growth: An International Perspective," CEPA Working Papers Series WP022005, School of Economics, University of Queensland, Australia. [Downloadable!]
  3. Fulginiti, Lilyan E & Perrin, Richard K, 1993. "Prices and Productivity in Agriculture," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 471-82, August. [Downloadable!] (restricted)
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  4. Timo Kuosmanen, 2008. "Representation theorem for convex nonparametric least squares," Econometrics Journal, Royal Economic Society, vol. 11(2), pages 308-325, 07. [Downloadable!] (restricted)
  5. Tim J. Coelli & D.S. Prasada Rao, 2003. "Total Factor Productivity Growth in Agriculture: A Malmquist Index Analysis of 93 Countries,1980-2000," CEPA Working Papers Series WP022003, School of Economics, University of Queensland, Australia. [Downloadable!]
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  6. Kuosmanen, Timo, 2006. "Stochastic Nonparametric Envelopment of Data: Combining Virtues of SFA and DEA in a Unified Framework," Discussion Papers 11864, MTT Agrifood Research Finland. [Downloadable!]
  7. Christopher O’Donnell & D. Rao & George Battese, 2008. "Metafrontier frameworks for the study of firm-level efficiencies and technology ratios," Empirical Economics, Springer, vol. 34(2), pages 231-255, March. [Downloadable!] (restricted)
  8. Subal Kumbhakar & Efthymios Tsionas & Timo Sipiläinen, 2009. "Joint estimation of technology choice and technical efficiency: an application to organic and conventional dairy farming," Journal of Productivity Analysis, Springer, vol. 31(3), pages 151-161, June. [Downloadable!] (restricted)
  9. Kawagoe, Toshihiko & Hayami, Yujiro & Ruttan, Vernon W., 1985. "The intercountry agricultural production function and productivity differences among countries," Journal of Development Economics, Elsevier, vol. 19(1-2), pages 113-132. [Downloadable!] (restricted)
  10. Hayami, Yujiro & Ruttan, Vernon W, 1970. "Agricultural Productivity Differences Among Countries," American Economic Review, American Economic Association, vol. 60(5), pages 895-911, December. [Downloadable!] (restricted)
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