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Environmental Productivity Change in World Air Emissions: A new Malmquist-Luenberger Index Approach

Author

Listed:
  • Juan Aparicio

    () (Center of Operations Research (CIO), Universidad Miguel Hernandez de Elche)

  • Javier Barbero

    () (European Commission - JRC)

  • Magdalena Kapelko

    () (Institute of Applied Mathematics, Department of Logistics, Wroclaw University of Economics)

  • Jesus T. Pastor

    () (Center of Operations Research (CIO), Universidad Miguel Hernandez de Elche)

  • Jose L. Zofio

    () (Departamento de Analisis Economico: Teoria Economica e Historia Economica. Universidad Autonoma de Madrid)

Abstract

Over the last twenty years an accelerating number of studies have relied on the standard definition of the Malmquist-Luenberger index proposed by Chung et al. (1997) [J. Environ. Manage., 51 229-240], to assess environmental sensitive productivity change. While recent contributions have shown that it suffers from relevant drawbacks related to inconsistencies and infeasibilities, no one has studied systematically the performance of the original model, and to what extent the existing results are unreliable. This paper introduces the optimization techniques that allow implementing the first model solving these problems, and using a country level database including air pollutants, systematically compares the results obtained with both approaches. We discuss the relative number, magnitude and significance of the disparities that researchers should expect if resorting to the original model. Results show that inconsistencies and infeasibilities in the original model are increasing in the number of undesirable outputs included, reaching remarkable values that seriously question the reliability of results, and compromise any policy recommendation based on them.

Suggested Citation

  • Juan Aparicio & Javier Barbero & Magdalena Kapelko & Jesus T. Pastor & Jose L. Zofio, 2016. "Environmental Productivity Change in World Air Emissions: A new Malmquist-Luenberger Index Approach," JRC Working Papers JRC104083, Joint Research Centre (Seville site).
  • Handle: RePEc:ipt:iptwpa:jrc104083
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    References listed on IDEAS

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    Keywords

    Malmquist-Luenberger Index; Technical Change; Data Envelopment Analysis; Computational Analysis;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence
    • Q53 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Air Pollution; Water Pollution; Noise; Hazardous Waste; Solid Waste; Recycling

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