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Exponential environmental productivity index and indicators

Author

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  • Arnaud Abad

    (UPVD - Université de Perpignan Via Domitia, BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

  • Paola Ravelojaona

    (UPVD - Université de Perpignan Via Domitia)

Abstract

The major contributions of this paper are twofold. First, it introduces an exponential environmental productivity indicator and its ratio-based counterpart constructed through an exponential distance function. These innovative exponential environmental productivity index and indicator inherit the basic structure of both Malmquist-Luenberger productivity index and environmental Luenberger productivity indicator. Thereafter, an exponential version of the environmental Luenberger-Hicks-Moorsteen productivity indicator is proposed. Such a specification allows to overcome the special issue of infeasabilities. Second, looking from a dynamical viewpoint, we propose an exponential generalized dynamical distance function. This new efficiency measure shows the degree of efficiency of an observation, taking into consideration its technical efficiency and/or technological variation adjustment path. A sample of 11 representative French airports is considered over the period 2008-2011, in order to implement these new exponential environmental productivity index and indicators.

Suggested Citation

  • Arnaud Abad & Paola Ravelojaona, 2017. "Exponential environmental productivity index and indicators," Post-Print hal-03025344, HAL.
    • Handle: RePEc:hal:journl:hal-03025344
    DOI: 10.1007/s11123-017-0513-7
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    Cited by:

    1. Shen, Zhiyang & Wu, Haitao & Bai, Kaixuan & Hao, Yu, 2022. "Integrating economic, environmental and societal performance within the productivity measurement," Technological Forecasting and Social Change, Elsevier, vol. 176(C).
    2. Briec, Walter & Fukuyama, Hirofumi & Ravelojaona, Paola, 2021. "Exponential distance function and duality theory," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1002-1014.
    3. Abad, Arnaud & Briec, Walter, 2019. "On the axiomatic of pollution-generating technologies: Non-parametric production analysis," European Journal of Operational Research, Elsevier, vol. 277(1), pages 377-390.
    4. Tao, Xiangyang & An, Qingxian & Goh, Mark, 2024. "Plant capacity utilization with piecewise Cobb-Douglas technology: Definition and interpretation," European Journal of Operational Research, Elsevier, vol. 316(3), pages 1034-1043.
    5. Léopold Simar & Valentin Zelenyuk & Shirong Zhao, 2025. "Statistical inference for Hicks–Moorsteen productivity indices," Annals of Operations Research, Springer, vol. 351(2), pages 1675-1703, August.
    6. Arnaud Abad & Paola Ravelojaona, 2021. "Pollution‐adjusted productivity analysis: The use of Malmquist and Luenberger productivity measures," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(3), pages 635-648, April.
    7. Arnaud Abad & Paola Ravelojaona & Ziyi Shen, 2022. "An exponential analysis of total factor productivity," Working Papers hal-03419905, HAL.

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