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Piecewise smooth approximation of bottom–up abatement cost curves

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  • Kiuila, O.
  • Rutherford, T.F.

Abstract

Top–down models usually include piecewise-smooth functions to describe marginal cost curves, while bottom–up models use step function curves. When a bottom–up cost curve is available, we can explicitly represent this curve with a top–down model in order to replicate its shape instead of using arbitrary assumptions. We propose several methods to approximate a piecewise function from a step function using constant elasticity of substitution technologies. Specifically, we consider a pollution abatement sector and calibrate the parameters of the abatement function in order to allow proper assessment of the economic effects of an environmental policy. Our methodology can be applied to any sector characterized by decreasing returns to scale technologies. We conclude that the elasticities of substitution need not be estimated only on the basis of historical data, but can be precisely calibrated on the basis of engineering estimates of technology potential.

Suggested Citation

  • Kiuila, O. & Rutherford, T.F., 2013. "Piecewise smooth approximation of bottom–up abatement cost curves," Energy Economics, Elsevier, vol. 40(C), pages 734-742.
    • Handle: RePEc:eee:eneeco:v:40:y:2013:i:c:p:734-742
    DOI: 10.1016/j.eneco.2013.07.016
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    Cited by:

    1. Rui M. Pereira & Alfredo M. Pereira, 2017. "The Economic and Budgetary Impact of Climate Policy in Portugal: Carbon Taxation in a Dynamic General Equilibrium Model with Endogenous Public Sector Behavior," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(2), pages 231-259, June.
    2. Ahn, Young-Hwan & Jeon, Wooyoung, 2019. "Power sector reform and CO2 abatement costs in Korea," Energy Policy, Elsevier, vol. 131(C), pages 202-214.
    3. Weitzel, Matthias & Saveyn, Bert & Vandyck, Toon, 2019. "Including bottom-up emission abatement technologies in a large-scale global economic model for policy assessments," Energy Economics, Elsevier, vol. 83(C), pages 254-263.
    4. Halkos, George & Tzeremes, Nickolaos & Kourtzidis, Stavros, 2014. "Abating CO2 emissions in the Greek energy and industry sectors," MPRA Paper 60807, University Library of Munich, Germany.

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    More about this item

    Keywords

    Elasticity of substitution; Calibration; Top–down modeling; Decreasing returns to scale;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • Q53 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Air Pollution; Water Pollution; Noise; Hazardous Waste; Solid Waste; Recycling
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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