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Normalized CES Supply Systems: Replication of Klump, McAdam, and Willman (2007)

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Abstract

In light of the literature that it has spawned, Klump, McAdam, and Willman (Factor substitution and factor-augmenting technical progress in the United States: A normalized supply-side system approach. Review of Economics and Statistics 2007; 89(1): 183–192) can be seen to be an iconic empirical implementation that has helped resurrect interest in CES functional forms and parametric supply-side systems. This replication revisits their analysis using alternative software, confirming their results substantively and, in large measure,numerically. Contributions include a more explicit consideration of the nested testing structure than has appeared previously, and the appropriate means of imposing and testing the special case of logarithmic growth in technology. As well, plots of the likelihood serve to emphasize that maxima in the neighborhood of a unitary elasticity of substitution are often a spurious artifact of the singularity of the model at this point, of which empirical researchers should beware. JEL Classification: C22, E23, E25, O30, O51

Suggested Citation

  • Ken Stewart, 2018. "Normalized CES Supply Systems: Replication of Klump, McAdam, and Willman (2007)," Department Discussion Papers 1807, Department of Economics, University of Victoria.
    • Handle: RePEc:vic:vicddp:1807
    Note: ISSN 1914-2838
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    1. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2015. "Production Technology Estimates and Balanced Growth," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 77(1), pages 40-65, February.
    2. McCullough, B D, 1999. "Econometric Software Reliability: EViews, LIMDEP, SHAZAM and TSP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 191-202, March-Apr.
    3. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 117-124.
    4. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    5. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    6. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2008. "Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 645-666, June.
    7. 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.
    8. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2004. "Factor substitution and factor augmenting technical progress in the US: a normalized supply-side system approach," Working Paper Series 367, European Central Bank.
    9. Diamond, Peter & McFadden, Daniel & Rodriguez, Miguel, 1978. "Measurement of the Elasticity of Factor Substitution and Bias of Technical Change," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 2, chapter 5, McMaster University Archive for the History of Economic Thought.
    10. McAdam, Peter & Willman, Alpo, 2013. "Medium Run Redux," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 695-727, June.
    11. 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.
    12. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
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    Cited by:

    1. Daniels, Gerald Eric & Kakar, Venoo, 2018. "Normalized CES supply-side system approach: How to replicate Klump, McAdam, and Willman (2007)," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-11.
    2. Kemnitz, Alexander & Knoblach, Michael, 2020. "Endogenous sigma-augmenting technological change: An R&D-based approach," CEPIE Working Papers 02/20, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    3. Daniels, Gerald Eric & Kakar, Venoo, 2017. "Normalized CES supply-side system approach: How to replicate Klump, McAdam, and Willman (Review of Economics and Statistics, 2007)," Economics Discussion Papers 2017-70, Kiel Institute for the World Economy (IfW Kiel).

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    More about this item

    Keywords

    capital-labour substitution; technological change; supply-side system;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O51 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - U.S.; Canada

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