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Modeling Emission-Generating Technologies: Reconciliation of Axiomatic and By-Production Approaches

Author

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  • Sushama Murty

    (Department of Economics, University of Exeter and Jawaharlal Nehru University)

  • R. Robert Russell

    (University of California, Riverside)

Abstract

We study the link between the by-production approach of Murty, Russell, and Levkoff [2012 J. Environ. Econ.] (MRL) and the axiomatic approach of Murty [2015 Econ. Theory] to modelling emission-generating technologies. We show that the by-production technology of MRL, obtained as an intersection of two independent sub-technologies, satisfies all the Murty axioms. Conversely, a technology satisfying all these axioms decomposes into two independent subtechnologies having the MRL features. These two sub-technologies, refl ect, respectively, the relations between goods in intended-output production designed by human engineers, on the one hand, and the emission-generating mechanism of nature governed by material-balance considerations, on the other. In either approach, the technology can be functionally represented by two radial distance functions with well-defined properties. These distance functions can also serve as measures of technological and environmental efficiency. We exploit the link between the by-production and axiomatic approaches to offer preliminary suggestions about suitable functional forms for the empirical estimation of the two distance functions.

Suggested Citation

  • Sushama Murty & R. Robert Russell, 2016. "Modeling Emission-Generating Technologies: Reconciliation of Axiomatic and By-Production Approaches," Discussion Papers 1603, University of Exeter, Department of Economics.
  • Handle: RePEc:exe:wpaper:1603
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    References listed on IDEAS

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    1. Murty, Sushama, 2010. "Externalities and fundamental nonconvexities: A reconciliation of approaches to general equilibrium externality modeling and implications for decentralization," Journal of Economic Theory, Elsevier, vol. 145(1), pages 331-353, January.
    2. Murty, Sushama & Russell, R. Robert, 2010. "On modeling pollution-generating technologies," Economic Research Papers 271176, University of Warwick - Department of Economics.
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    5. Pethig, Rudiger, 2006. "Non-linear production, abatement, pollution and materials balance reconsidered," Journal of Environmental Economics and Management, Elsevier, vol. 51(2), pages 185-204, March.
    6. Sushama Murty, 2015. "On the properties of an emission-generating technology and its parametric representation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 243-282, October.
    7. Moslener, Ulf & Requate, Till, 2007. "Optimal abatement in dynamic multi-pollutant problems when pollutants can be complements or substitutes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2293-2316, July.
    8. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2016. "The good, the bad and the technology: Endogeneity in environmental production models," Journal of Econometrics, Elsevier, vol. 190(2), pages 315-327.
    9. Sushama Murty, 2015. "Marginal reforms to facilitate climate change mitigation: An assessment of costs and abilities to abate of different countries," Discussion Papers 1508, University of Exeter, Department of Economics.
    10. Fare, Rolf & Grosskopf, Shawna, 1983. "Measuring output efficiency," European Journal of Operational Research, Elsevier, vol. 13(2), pages 173-179, June.
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    14. Tim Coelli & Ludwig Lauwers & Guido Huylenbroeck, 2007. "Environmental efficiency measurement and the materials balance condition," Journal of Productivity Analysis, Springer, vol. 28(1), pages 3-12, October.
    15. Murty, Sushama & Robert Russell, R. & Levkoff, Steven B., 2012. "On modeling pollution-generating technologies," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 117-135.
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    Cited by:

    1. Roshdi, Israfil & Hasannasab, Maryam & Margaritis, Dimitris & Rouse, Paul, 2018. "Generalised weak disposability and efficiency measurement in environmental technologies," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1000-1012.
    2. Sushama Murty & Resham Nagpal, "undated". "Measuring output-based technical efficiency of Indian coal-based thermal power plants: A by-production approach," Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi Discussion Papers 18-07, Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi, India.
    3. Aparicio, Juan & Kapelko, Magdalena & Zofío, José L., 2020. "The measurement of environmental economic inefficiency with pollution-generating technologies," Resource and Energy Economics, Elsevier, vol. 62(C).
    4. F. Ang & K. H. Dakpo, 2021. "Comment: Performance measurement and joint production of intended and unintended outputs," Journal of Productivity Analysis, Springer, vol. 55(3), pages 185-188, June.
    5. Jean-Philippe Boussemart & Hervé Leleu & Zhiyang Shen & Vivian Valdmanis, 2020. "Performance analysis for three pillars of sustainability," Journal of Productivity Analysis, Springer, vol. 53(3), pages 305-320, June.
    6. Wang, Miao & Feng, Chao, 2021. "The consequences of industrial restructuring, regional balanced development, and market-oriented reform for China's carbon dioxide emissions: A multi-tier meta-frontier DEA-based decomposition analysi," Technological Forecasting and Social Change, Elsevier, vol. 164(C).
    7. Fang, Lei, 2020. "Opening the “black box” of environmental production technology in a nonparametric analysis," European Journal of Operational Research, Elsevier, vol. 286(2), pages 769-780.
    8. Magambo, Isaiah & Dikgang, Johane & Gelo, Dambala & Tregenna, Fiona, 2021. "Environmental and Technical Efficiency in Large Gold Mines in Developing Countries," MPRA Paper 108068, University Library of Munich, Germany.
    9. Førsund, Finn, 2019. "Environmental Performance Measurement: The Rise and Fall of Shephard-inspired Measures," Memorandum 9/2019, Oslo University, Department of Economics.
    10. Juan Aparicio & Jose Manuel Cordero & Carlos Díaz-Caro, 2020. "Efficiency and productivity change of regional tax offices in Spain: an empirical study using Malmquist–Luenberger and Luenberger indices," Empirical Economics, Springer, vol. 59(3), pages 1403-1434, September.
    11. Lai, Hung-pin & Kumbhakar, Subal C., 2021. "A panel frontier system model with good and bad outputs and endogenous treatment decision," Economics Letters, Elsevier, vol. 198(C).
    12. Juan Aparicio & Magdalena Kapelko & Lidia Ortiz, 2021. "Modelling environmental inefficiency under a quota system," Operational Research, Springer, vol. 21(2), pages 1097-1124, June.
    13. Førsund, Finn R, 2017. "Pollution Meets Efficiency: Multi-equation modelling of generation of pollution and related efficiency measures," Memorandum 09/2017, Oslo University, Department of Economics.
    14. Sushama Murty & Resham Nagpal, "undated". "Choice of models for emission-generating technologies and designing technical efficiency improvements," Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi Discussion Papers 19-01, Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi, India.
    15. Magambo, Isaiah Hubert & Dikgang, Johane & Gelo, Dambala & Tregenna, Fiona, 2021. "Dynamic Technical and Environmental Efficiency Performance of Large Gold Mines in Developing Countries," EconStor Preprints 235859, ZBW - Leibniz Information Centre for Economics.
    16. Sushama Murty & R. Robert Russell, "undated". "Bad Outputs," Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi Discussion Papers 17-06, Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi, India.
    17. Tateishi, Henrique Ryosuke & Bragagnolo, Cassiano & de Faria, Rosane Nunes, 2020. "Economic and environmental efficiencies of greenhouse gases’ emissions under institutional influence," Technological Forecasting and Social Change, Elsevier, vol. 161(C).
    18. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    19. Sushama Murty & R. Robert Russell, 2021. "A commentary on “Performance measurement and joint production of intended and unintended outputs” by Finn Førsund," Journal of Productivity Analysis, Springer, vol. 55(3), pages 177-184, June.
    20. Moriah Bostian & Rolf Färe & Shawna Grosskopf & Tommy Lundgren, 2022. "Prevention or cure? Optimal abatement mix," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 24(4), pages 503-531, October.
    21. Finn R. Førsund, 2021. "Performance measurement and joint production of intended and unintended outputs," Journal of Productivity Analysis, Springer, vol. 55(3), pages 157-175, June.
    22. Sushama Murty & Resham Nagpal, "undated". "Weighted index of graph efficiency improvements for a by-production technology and its application to Indian coal-based thermal power sector," Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi Discussion Papers 18-08, Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi, India.

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    More about this item

    Keywords

    emission-generating technologies; by-production technologies; free input and output disposability; costly disposability; distance function.;
    All these keywords.

    JEL classification:

    • D20 - Microeconomics - - Production and Organizations - - - General
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • Q50 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - General

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