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Performance environnementale et mesure de la productivité


  • Dubrocard, Anne
  • Prombo, Michel


The study results presented here are derived from a process whose purpose was the initial deployment and use of the data envelopment analysis techniques and linear programming in R environment to verify the feasibility of transferring tools supporting analyzes conducted after the project Luxklems. The results and their theoretical subtended are presented in brief but show the possibilities and flexibility offered by the R environment to treat optimization problems. The focus is on the evolution of the Malmquist index when considering the undesirable outputs and also seeks to compare the results with and without consideration of environmental performance in in theoretical and empirical exercise covering 15 European countries and the United States. This approach uses for purposes of calculation, the strengths of the R language and some packages dealing with linear programming and directional distance functions. Thus, programs have been developed and adapted to extend the measurement of total factor productivity and its components - technical progress and technical efficiency – to take in account the environmental performance by minimizing infeasibility problems encountered in the usual approaches using Malmquist indices. Indeed, faced with the need to take into account the effects of production on the environment and more generally the urgency to find the path of sustainable development, many attempts have been made to reinforce measures productivity growth including the negative impact of pollution that the production of goods and services generates.

Suggested Citation

  • Dubrocard, Anne & Prombo, Michel, 2012. "Performance environnementale et mesure de la productivité," MPRA Paper 41456, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41456

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    References listed on IDEAS

    1. Yoruk, BarIs K. & Zaim, Osman, 2005. "Productivity growth in OECD countries: A comparison with Malmquist indices," Journal of Comparative Economics, Elsevier, vol. 33(2), pages 401-420, June.
    2. William L. Weber & Bruce Domazlicky, 2001. "Productivity Growth and Pollution in State Manufacturing," The Review of Economics and Statistics, MIT Press, vol. 83(1), pages 195-199, February.
    3. Fare, R. & Grosskopf, S. & Hernandez-Sancho, F., 2004. "Environmental performance: an index number approach," Resource and Energy Economics, Elsevier, vol. 26(4), pages 343-352, December.
    4. Fare, Rolf & Grosskopf, Shawna & Tyteca, Daniel, 1996. "An activity analysis model of the environmental performance of firms--application to fossil-fuel-fired electric utilities," Ecological Economics, Elsevier, vol. 18(2), pages 161-175, August.
    5. Fare, Rolf & Grosskopf, Shawna, 2004. "Modeling undesirable factors in efficiency evaluation: Comment," European Journal of Operational Research, Elsevier, vol. 157(1), pages 242-245, August.
    6. Barıs Yoruk & Osnman Zaim, 2008. "International regulations and environmental performance," Applied Economics, Taylor & Francis Journals, vol. 40(7), pages 807-822.
    7. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    8. Kumar, Surender, 2006. "Environmentally sensitive productivity growth: A global analysis using Malmquist-Luenberger index," Ecological Economics, Elsevier, vol. 56(2), pages 280-293, February.
    9. Luenberger, David G, 1996. "Welfare from a Benefit Viewpoint," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462, April.
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    12. Fare, Rolf, et al, 1989. "Multilateral Productivity Comparisons When Some Outputs Are Undesirable: A Nonparametric Approach," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 90-98, February.
    13. Seiford, Lawrence M. & Zhu, Joe, 2002. "Modeling undesirable factors in efficiency evaluation," European Journal of Operational Research, Elsevier, vol. 142(1), pages 16-20, October.
    14. Zhou, P. & Ang, B.W. & Poh, K.L., 2008. "Measuring environmental performance under different environmental DEA technologies," Energy Economics, Elsevier, vol. 30(1), pages 1-14, January.
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    More about this item


    Environmental performance; Data envelopment analysis (DEA); Undesirable output; Return to scale; Sequential Malmquist-Luenberger index; Malmquist-Luenberger index;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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