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Modelling energy and non-energy substitution: A brief survey of elasticities

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  • Frondel, Manuel

Abstract

Estimating the degree of substitution between energy and non-energy inputs is the key for any evaluation of environmental and energy policies. Yet, given the variety of substitution elasticities, the central question arises as to which measure would be most appropriate. Apparently, Allen's elasticities of substitution have been the most-used measures in applied production analysis. In line with Frondel (2004), this paper argues that cross-price elasticities are preferable for many practical purposes. This conclusion is based on a survey of classical substitution measures, such as those from Allen, Morishima, and McFadden. The survey highlights the fact that cross-price elasticities are their essential ingredients.

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  • Frondel, Manuel, 2011. "Modelling energy and non-energy substitution: A brief survey of elasticities," Energy Policy, Elsevier, vol. 39(8), pages 4601-4604, August.
    • Handle: RePEc:eee:enepol:v:39:y:2011:i:8:p:4601-4604
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    1. Manuel Frondel & Christoph M. Schmidt, 2006. "The Empirical Assessment of Technology Differences: Comparing the Comparable," The Review of Economics and Statistics, MIT Press, vol. 88(1), pages 186-192, February.
    2. Frondel, Manuel & Schmidt, Christoph M., 2003. "Rejecting capital-skill complementarity at all costs," Economics Letters, Elsevier, vol. 80(1), pages 15-21, July.
    3. Frondel, Manuel, 2004. "Empirical assessment of energy-price policies: the case for cross-price elasticities," Energy Policy, Elsevier, vol. 32(8), pages 989-1000, June.
    4. Fuss, Melvyn & McFadden, Daniel & Mundlak, Yair, 1978. "A Survey of Functional Forms in the Economic Analysis of Production," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 4, McMaster University Archive for the History of Economic Thought.
    5. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    6. Frondel, Manuel & Schmidt, Christoph M., 2004. "Facing the truth about separability: nothing works without energy," Ecological Economics, Elsevier, vol. 51(3-4), pages 217-223, December.
    7. Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-857, December.
    8. Kintis, Andreas A. & Panas, Epaminondas E., 1989. "The capital--energy controversy: further results," Energy Economics, Elsevier, vol. 11(3), pages 201-212, July.
    9. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-268, August.
    10. Saunders, Harry D., 2008. "Fuel conserving (and using) production functions," Energy Economics, Elsevier, vol. 30(5), pages 2184-2235, September.
    11. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
    12. Manuel Frondel & Christoph M. Schmidt, 2002. "The Capital-Energy Controversy: An Artifact of Cost Shares?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 53-79.
    13. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    14. Harty D. Saunders, 1992. "The Khazzoom-Brookes Postulate and Neoclassical Growth," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 131-148.
    15. Y. Mundlak, 1968. "Elasticities of Substitution and the Theory of Derived Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 225-236.
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