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Substitution elasticities in a CES production framework: An empirical analysis on the basis of non-linear least squares estimations

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  • Koesler, Simon
  • Schymura, Michael

Abstract

Effectiveness, cost-efficiency and distribution issues are crucial for any form of future regulation. This results in the need for reliable instruments to assess regulations ex ante. Elasticities are key parameters for such instruments. We consistently estimate substitution elasticities for a three level nested CES KLEM production structure on the basis of non-linear least squares estimation procedures. Thereby we take advantage of the new World-Input-Output Database. This allows us for the first time to use one consistent dataset for the estimation process and gives us the opportunity to derive elasticities from the same data which researchers can use to calibrate their simulations. Our results show that compared to standard linear estimations using Kmenta approximations, non-linear estimation techniques perform significantly better. Moreover, during the time period we consider, no significant change in input substitutability takes place over time. Furthermore, we demonstrate that the common practice of using Cobb-Douglas or Leontief production functions in economic models must be rejected for the majority of sectors. In response to this result, we provide a comprehensive set of consistently estimated substitution elasticities covering 35 sectors.

Suggested Citation

  • 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 - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  • Handle: RePEc:zbw:zewdip:12007
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    Cited by:

    1. Baas, Timo & Melzer, Silvia, 2016. "The Macroeconomic Impact of Remittances: A Sending Country Perspective," Annual Conference 2016 (Augsburg): Demographic Change 145631, Verein für Socialpolitik / German Economic Association.
    2. Hübler, Michael & Pothen, Frank, 2013. "The optimal tariff in the presence of trade-induced productivity gains," ZEW Discussion Papers 13-103, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    3. 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.
    4. Koesler, Simon, 2013. "Catching the rebound: Economy-wide implications of an efficiency shock in the provision of transport services by households," ZEW Discussion Papers 13-082, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    5. Matthew K. Heun & João Santos & Paul E. Brockway & Randall Pruim & Tiago Domingos & Marco Sakai, 2017. "From Theory to Econometrics to Energy Policy: Cautionary Tales for Policymaking Using Aggregate Production Functions," Energies, MDPI, Open Access Journal, vol. 10(2), pages 1-44, February.
    6. Martin de Wit & Matthew Kuperus Heun & Douglas J Crookes, 2013. "An overview of salient factors, relationships and values to support integrated energy-economic systems dynamic modelling," Working Papers 02/2013, Stellenbosch University, Department of Economics.
    7. Koesler, Simon & Swales, Kim & Turner, Karen, 2014. "Beyond national economy-wide rebound effects: An applied general equilibrium analysis incorporating international spillover effects," ZEW Discussion Papers 14-025, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    8. repec:eee:tefoso:v:125:y:2017:i:c:p:289-298 is not listed on IDEAS
    9. Christoph Böhringer & Florian Landis & Miguel Angel Tovar Reaños, 2016. "Cost-effectiveness and Incidence of Renewable Energy Promotion in Germany," Working Papers V-390-16, University of Oldenburg, Department of Economics, revised Jul 2016.
    10. Keting Shen & John Whalley, 2013. "Capital-Labor-Energy Substitution in Nested CES Production Functions for China," NBER Working Papers 19104, National Bureau of Economic Research, Inc.
    11. Martin Aarøe Christensen, 2015. "A CGE model with ICT and R&D-driven endogenous growth: A detailed model description," JRC Working Papers JRC97908, Joint Research Centre (Seville site).
    12. Antoszewski, Michal, 2017. "Panel estimation of sectoral substitution elasticities for CES production functions," MF Working Papers 28, Ministry of Finance in Poland.
    13. Paul E. Brockway & Matthew K. Heun & João Santos & John R. Barrett, 2017. "Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation," Energies, MDPI, Open Access Journal, vol. 10(2), pages 1-22, February.
    14. Baccianti, Claudio, 2013. "Estimation of sectoral elasticities of substitution along the international technology frontier," ZEW Discussion Papers 13-092, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    15. Koesler, Simon & Pothen, Frank, 2013. "The Basic WIOD CGE Model: A computable general equilibrium model based on the World Input-Output Database," ZEW Dokumentationen 13-04, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    16. 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.
    17. M. Chepeliev, 2015. "Econometric estimation of capital-labor substitution elasticities for Ukrainian CGE model," Economy and Forecasting, Valeriy Heyets, issue 2, pages 33-46.
    18. Martin Aarøe Christensen, 2015. "A CGE model with ICT and R&D-driven endogenous growth: A general description," JRC Working Papers JRC97902, Joint Research Centre (Seville site).
    19. Hermeling, Claudia & Klement, Jan Henrik & Koesler, Simon & Köhler, Jonathan & Klement, Dorothee, 2014. "Sailing into a dilemma: An economic and legal analysis of an EU trading scheme for maritime emissions," ZEW Discussion Papers 14-021, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.

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    Keywords

    Substitution elasticity; CES production function; Policy evaluation;

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