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Modeling emission-generating technologies: reconciliation of axiomatic and by-production approaches

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  • Sushama Murty

    (University of Exeter
    Jawaharlal Nehru University)

  • R. Robert Russell

    (University of California, Riverside)

Abstract

We study the link between two recent approaches to modeling emission-generating technologies: the by-production approach and the axiomatic approach. The by-production approach models these technologies as intersections of two independent sub-technologies reflecting (1) the relations between goods in intended-output production designed by human engineers and (2) the emission-generating mechanism of nature governed by material-balance considerations. The axiomatic approach proposes a set of axioms that a pollution-generating technology should satisfy. We show that the by-production technology satisfies these axioms and that, conversely, any technology satisfying the axioms can be decomposed into two sub-technologies satisfying the by-production properties. 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, 2018. "Modeling emission-generating technologies: reconciliation of axiomatic and by-production approaches," Empirical Economics, Springer, vol. 54(1), pages 7-30, February.
  • Handle: RePEc:spr:empeco:v:54:y:2018:i:1:d:10.1007_s00181-016-1183-4
    DOI: 10.1007/s00181-016-1183-4
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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," The Warwick Economics Research Paper Series (TWERPS) 931, University of Warwick, Department of Economics.
    3. Serra, Teresa & Chambers, Robert G. & Oude Lansink, Alfons, 2014. "Measuring technical and environmental efficiency in a state-contingent technology," European Journal of Operational Research, Elsevier, vol. 236(2), pages 706-717.
    4. 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.
    5. Starrett, David A., 1972. "Fundamental nonconvexities in the theory of externalities," Journal of Economic Theory, Elsevier, vol. 4(2), pages 180-199, April.
    6. 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.
    7. 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.
    8. Atkinson, Scott E. & Primont, Daniel, 2002. "Stochastic estimation of firm technology, inefficiency, and productivity growth using shadow cost and distance functions," Journal of Econometrics, Elsevier, vol. 108(2), pages 203-225, June.
    9. 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.
    10. 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.
    11. 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.
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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. 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).
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    7. 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.
    8. 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.
    9. 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).
    10. Juan Aparicio & Magdalena Kapelko & Lidia Ortiz, 2021. "Modelling environmental inefficiency under a quota system," Operational Research, Springer, vol. 21(2), pages 1097-1124, June.
    11. 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.
    12. 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.
    13. 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).
    14. 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.
    15. 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.
    16. 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.

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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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