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Industry-level Econometric Estimates of Energy-capital-labour Substitution with a Nested CES Production Function

Author

Listed:
  • Yazid Dissou

    (Department of Economics, University of Ottawa, 120 University St., Ottawa,Ontario)

  • Lilia Karnizova

    (Department of Economics, University of Ottawa, 120 University St., Ottawa,Ontario)

  • Qian Sun

    (Department of Economics, University of Ottawa, 120 University St., Ottawa,Ontario)

Abstract

Despite substantial interest in the role of energy in the economy, the degree of substitutability between energy and other production inputs, and the way energy should be included in the production function remain unresolved issues. Our study provides industry-level parameter estimates of two-level constant elasticity of substitution (CES) functions that include capital, labour and energy inputs and allow for technological change for Canada. In contrast to many existing studies, we do not impose prior restrictions on the order of input nesting, and we report the estimates for three possible specifications. We find that a nested production structure which first combines labour and energy into a composite good that is then combined with capital, fits the Canadian data best, in terms of respecting the restrictions imposed by cost minimization. We also find rather low elasticities of substitution between capital and labour, and limited evidence of exogenous technological change.

Suggested Citation

  • Yazid Dissou & Lilia Karnizova & Qian Sun, 2012. "Industry-level Econometric Estimates of Energy-capital-labour Substitution with a Nested CES Production Function," Working Papers 1214E, University of Ottawa, Department of Economics.
  • Handle: RePEc:ott:wpaper:1214e
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    1. de la Grandville,Olivier, 2009. "Economic Growth," Cambridge Books, Cambridge University Press, number 9780521725200, December.
    2. Carlos de Miguel & Baltasar Manzano, 2006. "Optimal Oil Taxation in a Small Open Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(3), pages 438-454, July.
    3. Louis Beuuséjour & Gordon Lenjosek & Michael Smart, 1995. "A CGE Approach to Modelling Carbon Dioxide Emissions Control in Canada and the United States," The World Economy, Wiley Blackwell, vol. 18(3), pages 457-488, May.
    4. Valentina Bosetti & Carlo Carraro & Marzio Galeotti & Emanuele Massetti & Massimo Tavoni, 2006. "WITCH. A World Induced Technical Change Hybrid Model," Working Papers 2006_46, Department of Economics, University of Venice "Ca' Foscari".
    5. de la Grandville,Olivier, 2009. "Economic Growth," Cambridge Books, Cambridge University Press, number 9780521898010, December.
    6. Donald W. Jones, Paul N. Leiby and Inja K. Paik, 2004. "Oil Price Shocks and the Macroeconomy: What Has Been Learned Since 1996," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-32.
    7. Stefan Schubert & Stephen Turnovsky, 2011. "The Impact of Energy Prices on Growth and Welfare in a Developing Open Economy," Open Economies Review, Springer, vol. 22(3), pages 365-386, July.
    8. Popp, David, 2004. "ENTICE: endogenous technological change in the DICE model of global warming," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 742-768, July.
    9. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    10. Jacoby, Henry D. & Reilly, John M. & McFarland, James R. & Paltsev, Sergey, 2006. "Technology and technical change in the MIT EPPA model," Energy Economics, Elsevier, vol. 28(5-6), pages 610-631, November.
    11. Sami Alpanda & Adrian Peralta-Alva, 2010. "Oil Crisis, Energy-Saving Technological Change and the Stock Market Crash of 1973-74," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 824-842, October.
    12. Vinals, Jose M., 1984. "Energy-capital substitution, wage flexibility and aggregate output supply," European Economic Review, Elsevier, vol. 26(1-2), pages 229-245.
    13. Allen, Robert C & Diewert, W Erwin, 1981. "Direct versus Implicit Superlative Index Number Formulae," The Review of Economics and Statistics, MIT Press, vol. 63(3), pages 430-435, August.
    14. Anil Markandya & Suzette Pedroso-Galinato, 2007. "How substitutable is natural capital?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(1), pages 297-312, May.
    15. Lutz Kilian, 2008. "The Economic Effects of Energy Price Shocks," Journal of Economic Literature, American Economic Association, vol. 46(4), pages 871-909, December.
    16. Kuper, Gerard H. & van Soest, Daan P., 2003. "Path-dependency and input substitution: implications for energy policy modelling," Energy Economics, Elsevier, vol. 25(4), pages 397-407, July.
    17. Bodenstein, Martin & Erceg, Christopher J. & Guerrieri, Luca, 2011. "Oil shocks and external adjustment," Journal of International Economics, Elsevier, vol. 83(2), pages 168-184, March.
    18. Kemfert, Claudia & Welsch, Heinz, 2000. "Energy-Capital-Labor Substitution and the Economic Effects of CO2 Abatement: Evidence for Germany," Journal of Policy Modeling, Elsevier, vol. 22(6), pages 641-660, November.
    19. Finn, Mary G, 2000. "Perfect Competition and the Effects of Energy Price Increases on Economic Activity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 400-416, August.
    20. van der Werf, Edwin, 2008. "Production functions for climate policy modeling: An empirical analysis," Energy Economics, Elsevier, vol. 30(6), pages 2964-2979, November.
    21. Valentina Bosetti, Carlo Carraro, Marzio Galeotti, Emanuele Massetti, Massimo Tavoni, 2006. "A World induced Technical Change Hybrid Model," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 13-38.
    22. Burniaux, Jean-Marc & Truong Truong, 2002. "GTAP-E: An Energy-Environmental Version of the GTAP Model," GTAP Technical Papers 923, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University.
    23. Carlstrom, Charles T. & Fuerst, Timothy S., 2006. "Oil Prices, Monetary Policy, and Counterfactual Experiments," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1945-1958, October.
    24. Burniaux, Jean-March & Truong, Truong P., 2002. "Gtap-E: An Energy-Environmental Version Of The Gtap Model," Technical Papers 28705, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    25. K. Sato, 1967. "A Two-Level Constant-Elasticity-of-Substitution Production Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 201-218.
    26. Willman, Alpo, 2002. "Euro area production function and potential output: a supply side system approach," Working Paper Series 153, European Central Bank.
    27. Backus, David K. & Crucini, Mario J., 2000. "Oil prices and the terms of trade," Journal of International Economics, Elsevier, vol. 50(1), pages 185-213, February.
    28. Kemfert, Claudia, 1998. "Estimated substitution elasticities of a nested CES production function approach for Germany," Energy Economics, Elsevier, vol. 20(3), pages 249-264, June.
    29. 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.
    30. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "The long-term sucCESs of the neoclassical growth model," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 23(1), pages 94-114, Spring.
    31. Chang, Kuo-Ping, 1994. "Capital-energy substitution and the multi-level CES production function," Energy Economics, Elsevier, vol. 16(1), pages 22-26, January.
    32. Rajeev Dhawan & Karsten Jeske & Pedro Silos, 2010. "Productivity, Energy Prices and the Great Moderation: A New Link," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 715-724, July.
    33. Despotakis, Kostas A., 1986. "Economic performance of flexible functional forms: Implications for equilibrium modeling," European Economic Review, Elsevier, vol. 30(6), pages 1107-1143, December.
    34. Kim, In-Moo & Loungani, Prakash, 1992. "The role of energy in real business cycle models," Journal of Monetary Economics, Elsevier, vol. 29(2), pages 173-189, April.
    35. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    36. Bohringer, Christoph & Rutherford, Thomas F., 1997. "Carbon Taxes with Exemptions in an Open Economy: A General Equilibrium Analysis of the German Tax Initiative," Journal of Environmental Economics and Management, Elsevier, vol. 32(2), pages 189-203, February.
    37. Lecca, Patrizio & Swales, Kim & Turner, Karen, 2011. "An investigation of issues relating to where energy should enter the production function," Economic Modelling, Elsevier, vol. 28(6), pages 2832-2841.
    38. Beckman, Jayson & Hertel, Thomas, 2009. "Why Previous Estimates of the Cost of Climate Mitigation are Likely Too Low," GTAP Working Papers 2954, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University.
    39. Prywes, Menahem, 1986. "A nested CES approach to capital-energy substitution," Energy Economics, Elsevier, vol. 8(1), pages 22-28, January.
    40. Goulder, Lawrence H. & Schneider, Stephen H., 1999. "Induced technological change and the attractiveness of CO2 abatement policies," Resource and Energy Economics, Elsevier, vol. 21(3-4), pages 211-253, August.
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    More about this item

    Keywords

    energy; elasticity of substitution; CES function; industry estimates;
    All these keywords.

    JEL classification:

    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • Q41 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Demand and Supply; Prices
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy
    • Q55 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Technological Innovation

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