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Panel estimation of sectoral substitution elasticities for CES production functions

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  • Michal Antoszewski

Abstract

This paper provides a broad range of econometric estimates of substitution elasticities for 35 sectoral nested CES production functions. Although the related empirical literature has been growing over the recent years, there is still no single study focused on a large-scale estimation of various sectoral elasticities with a use of a common database and methodology. This paper constitutes an attempt to fill this gap. Panel data techniques, with the World Input-Output Database (WIOD) as the main data source. Estimation results suggest a significant heterogeneity in elasticity values between various activity sectors, as well as between various nests of production function. It also turns out that, in most cases, obtained long-run elasticities are higher than in the short run, as well as significantly different from zero (Leontief specification) and unity (Cobb-Douglas specification). In addition, time series properties of panel data (stationarity and cointegration) play a crucial role in determining the type of dynamic model (autoregressive distributed lag model, error correction model or model for differenced series) to be estimated for a particular nest-sector combination and, in turn, in determining the obtained values of elasticity estimates.

Suggested Citation

  • Michal Antoszewski, 2017. "Panel estimation of sectoral substitution elasticities for CES production functions," EcoMod2017 10160, EcoMod.
  • Handle: RePEc:ekd:010027:10160
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    1. Koesler, Simon & Schymura, Michael, 2012. "Substitution elasticities in a CES production framework: An empirical analysis on the basis of non-linear least squares estimations," ZEW Discussion Papers 12-007, ZEW - Leibniz Centre for European Economic Research.
    2. Sebastián Claro, 2003. "A Cross-Country Estimation of the Elasticity of Substitution between Labor and Capital in Manufacturing Industries," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 40(120), pages 239-257.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    4. Magdalena Zachlod-Jelec & Jakub Boratyński, 2016. "How large and uncertain are costs of 2030 emission reduction target for the European countries? Sensitivity analysis in a global CGE model," EcoMod2016 9449, EcoMod.
    5. Jalava Jukka & Pohjola Matti & Ripatti Antti & Vilmunen Jouko, 2006. "Biased Technical Change and Capital-Labour Substitution in Finland, 1902-2003," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-20, April.
    6. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    7. Edward J. Balistreri & Christine A. McDaniel & Eina Vivian Wong, 2003. "An Estimation of U.S. Industry-Level Capital-Labor Substitution," Computational Economics 0303001, University Library of Munich, Germany.
    8. Németh, Gabriella & Szabó, László & Ciscar, Juan-Carlos, 2011. "Estimation of Armington elasticities in a CGE economy-energy-environment model for Europe," Economic Modelling, Elsevier, vol. 28(4), pages 1993-1999, July.
    9. van der Werf, Edwin, 2008. "Production functions for climate policy modeling: An empirical analysis," Energy Economics, Elsevier, vol. 30(6), pages 2964-2979, November.
    10. 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.
    11. Thursby, Jerry G & Lovell, C A Knox, 1978. "An Investigation of the Kmenta Approximation to the CES Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 363-377, June.
    12. Marcel P. Timmer & Erik Dietzenbacher & Bart Los & Robert Stehrer & Gaaitzen J. Vries, 2015. "An Illustrated User Guide to the World Input–Output Database: the Case of Global Automotive Production," Review of International Economics, Wiley Blackwell, vol. 23(3), pages 575-605, August.
    13. 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.
    14. Mika Saito, 2004. "Armington elasticities in intermediate inputs trade: a problem in using multilateral trade data," Canadian Journal of Economics, Canadian Economics Association, vol. 37(4), pages 1097-1117, November.
    15. Arne Henningsen & Géraldine Henningsen, 2011. "Econometric Estimation of the “Constant Elasticity of Substitution" Function in R: Package micEconCES," IFRO Working Paper 2011/9, University of Copenhagen, Department of Food and Resource Economics.
    16. Zachlod-Jelec, Magdalena & Boratynski, Jakub, 2016. "How large and uncertain are costs of 2030 GHG emissions reduction target for the European countries? Sensitivity analysis in a global CGE model," MF Working Papers 26, Ministry of Finance in Poland.
    17. Balistreri, Edward J. & McDaniel, Christine A. & Wong, Eina Vivian, 2003. "An estimation of US industry-level capital-labor substitution elasticities: support for Cobb-Douglas," The North American Journal of Economics and Finance, Elsevier, vol. 14(3), pages 343-356, December.
    18. Prywes, Menahem, 1986. "A nested CES approach to capital-energy substitution," Energy Economics, Elsevier, vol. 8(1), pages 22-28, January.
    19. Ha, Soo Jung & Lange, Ian & Lecca, Patrizio & Turner, Karen, 2012. "Econometric estimation of nested production functions and testing in a computable general equilibrium analysis of economy-wide rebound effec ts," Stirling Economics Discussion Papers 2012-08, University of Stirling, Division of Economics.
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    Cited by:

    1. Michał Antoszewski, 2019. "Assessment of Energy-Related Technological Shocks Within a CGE Model for the Polish Economy," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 1, pages 9-45.

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    More about this item

    Keywords

    EU + non-EU developed countries; Macroeconometric modeling; General equilibrium modeling (CGE);
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy

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