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

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  • Sipilainen, Timo
  • Kuosmanen, Timo
  • Kumbhakar, Subal C.

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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Bibliographic 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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Keywords: productivity; technical efficiency; meta-frontier; Productivity Analysis;

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References

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  1. Timo Kuosmanen, 2008. "Representation theorem for convex nonparametric least squares," Econometrics Journal, Royal Economic Society, vol. 11(2), pages 308-325, 07.
  2. George Battese & D. Rao & Christopher O'Donnell, 2004. "A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies," Journal of Productivity Analysis, Springer, vol. 21(1), pages 91-103, January.
  3. Tim J. Coelli & D. S. Prasada Rao, 2005. "Total factor productivity growth in agriculture: a Malmquist index analysis of 93 countries, 1980-2000," Agricultural Economics, International Association of Agricultural Economists, vol. 32(s1), pages 115-134, 01.
  4. Wiebe, Keith D., 2003. "Linking Land Quality, Agricultural Productivity, And Food Security," Agricultural Economics Reports 34073, United States Department of Agriculture, Economic Research Service.
  5. 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.
  6. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
  7. Hayami, Yujiro & Ruttan, Vernon W, 1970. "Agricultural Productivity Differences Among Countries," American Economic Review, American Economic Association, vol. 60(5), pages 895-911, December.
  8. 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.
  9. V. Ball & Jean-Christophe Bureau & Jean-Pierre Butault & Richard Nehring, 2001. "Levels of Farm Sector Productivity: An International Comparison," Journal of Productivity Analysis, Springer, vol. 15(1), pages 5-29, January.
  10. 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.
  11. Barbara J. Craig & Philip G. Pardey & Johannes Roseboom, 1997. "International Productivity Patterns: Accounting for Input Quality, Infrastructure, and Research," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1064-1076.
  12. 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.
  13. 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.
  14. 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.
  15. Derek D. Headey & D.S. Prasada Rao & Mohammad Alauddin, 2005. "Explaining Agricultural Productivity Levels and Growth: An International Perspective," CEPA Working Papers Series WP022005, School of Economics, University of Queensland, Australia.
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Citations

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Cited by:
  1. Heikkila, Anna-Maija & Myyra, Sami & Pietola, Kyosti, 2012. "Effects of Economic Factors on Adoption of Robotics and Consequences of Automation for Productivity Growth of Dairy Farms," Working Papers 144002, Factor Markets, Centre for European Policy Studies.
  2. Olusegun, Ajetomobi Joshua, 2012. "Productivity Growth of ECOWAS Common Crops: A Tale of Two Competing Frontier Methods of Analysis," 2012 Eighth AFMA Congress, November 25-29, 2012, Nairobi, Kenya 159404, African Farm Management Association (AFMA).
  3. Latruffe, Laure & Fogarasi, József & Desjeux, Yann, 2012. "Efficiency, productivity and technology comparison for farms in Central and Western Europe: The case of field crop and dairy farming in Hungary and France," Economic Systems, Elsevier, vol. 36(2), pages 264-278.
  4. Sami Ben Naceur & Barbara Casu & Hichem Ben-Khedhiri, 2011. "What Drives the Performance of Selected Mena Banks? A+L4624 Meta-Frontier Analysis," IMF Working Papers 11/34, International Monetary Fund.

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