IDEAS home Printed from https://ideas.repec.org/a/bla/obuest/v82y2020i1p62-82.html
   My bibliography  Save this article

The Elasticity of Substitution Between Capital and Labour in the US Economy: A Meta‐Regression Analysis

Author

Listed:
  • Michael Knoblach
  • Martin Roessler
  • Patrick Zwerschke

Abstract

Despite extensive research, there is no agreement on the value of the elasticity of substitution between capital and labour at the aggregate or the industrial level. Utilizing 2,419 estimates from 77 studies published between 1961 and 2017, this paper provides the first meta‐regression analysis for the US economy. We show that the heterogeneity in previously reported estimates is driven primarily by modelling decisions for technological dynamics. Throughout the analysis, the hypothesis of a Cobb–Douglas production function is rejected. Based on our meta‐regression sample, we estimate a long‐run meta‐elasticity for the aggregate economy in the range of 0.45–0.87. Most industrial estimates do not deviate significantly from the estimate for the aggregate economy.

Suggested Citation

  • Michael Knoblach & Martin Roessler & Patrick Zwerschke, 2020. "The Elasticity of Substitution Between Capital and Labour in the US Economy: A Meta‐Regression Analysis," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(1), pages 62-82, February.
  • Handle: RePEc:bla:obuest:v:82:y:2020:i:1:p:62-82
    DOI: 10.1111/obes.12312
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/obes.12312
    Download Restriction: no

    File URL: https://libkey.io/10.1111/obes.12312?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Raurich, Xavier & Sala, Hector & Sorolla, Valeri, 2012. "Factor shares, the price markup, and the elasticity of substitution between capital and labor," Journal of Macroeconomics, Elsevier, vol. 34(1), pages 181-198.
    2. Per Krusell & Lee E. Ohanian & JosÈ-Victor RÌos-Rull & Giovanni L. Violante, 2000. "Capital-Skill Complementarity and Inequality: A Macroeconomic Analysis," Econometrica, Econometric Society, vol. 68(5), pages 1029-1054, September.
    3. Lars P. Feld & Jost H. Heckemeyer, 2011. "Fdi And Taxation: A Meta‐Study," Journal of Economic Surveys, Wiley Blackwell, vol. 25(2), pages 233-272, April.
    4. Berndt, Ernst R, 1976. "Reconciling Alternative Estimates of the Elasticity of Substitution," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 59-68, February.
    5. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    6. Lichter, Andreas & Peichl, Andreas & Siegloch, Sebastian, 2015. "The own-wage elasticity of labor demand: A meta-regression analysis," European Economic Review, Elsevier, vol. 80(C), pages 94-119.
    7. Thomas Piketty & Gabriel Zucman, 2014. "Capital is Back: Wealth-Income Ratios in Rich Countries 1700–2010," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1255-1310.
    8. Hristos Doucouliagos & Mehmet Ali Ulubaşoğlu, 2008. "Democracy and Economic Growth: A Meta‐Analysis," American Journal of Political Science, John Wiley & Sons, vol. 52(1), pages 61-83, January.
    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. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    11. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    12. 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.
    13. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    14. Caballero, Ricardo J, 1994. "Small Sample Bias and Adjustment Costs," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 52-58, February.
    15. Young, Andrew T., 2013. "U.S. Elasticities Of Substitution And Factor Augmentation At The Industry Level," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 861-897, June.
    16. 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.
    17. Kenneth G. Stewart & Jiang Li, 2018. "Are factor biases and substitution identifiable? The Canadian evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 51(2), pages 528-548, May.
    18. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    19. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    20. 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.
    21. Turnovsky, Stephen J., 2002. "Intertemporal and intratemporal substitution, and the speed of convergence in the neoclassical growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1765-1785, August.
    22. Griliches, Zvi, 1969. "Capital-Skill Complementarity," The Review of Economics and Statistics, MIT Press, vol. 51(4), pages 465-468, November.
    23. 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.
    24. Chirinko, Robert S., 2002. "Corporate Taxation, Capital Formation,and the Substitution Elasticity Between Labor and Capital," National Tax Journal, National Tax Association;National Tax Journal, vol. 55(2), pages 339-355, June.
    25. 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.
    26. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    27. Kalt, Joseph P, 1978. "Technological Change and Factor Substitution in the United States: 1929-1967," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 761-775, October.
    28. Dhrymes, Phoebus J & Zarembka, Paul, 1970. "Elasticities of Substitution for Two-Digit Manufacturing Industries: A Correction," The Review of Economics and Statistics, MIT Press, vol. 52(1), pages 115-117, February.
    29. Robert S. Chirinko & Debdulal Mallick, 2017. "The Substitution Elasticity, Factor Shares, and the Low-Frequency Panel Model," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(4), pages 225-253, October.
    30. Takayama, Akira, 1974. "On Biased Technological Progress," American Economic Review, American Economic Association, vol. 64(4), pages 631-639, September.
    31. Kenneth G. Stewart & Jiang Li, 2018. "Are factor biases and substitution identifiable? The Canadian evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 51(2), pages 528-548, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Knoblach, Michael & Rößler, Martin & Zwerschke, Patrick, 2016. "The Elasticity of Factor Substitution Between Capital and Labor in the U.S. Economy: A Meta-Regression Analysis," CEPIE Working Papers 03/16, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    2. Michael Knoblach & Fabian Stöckl, 2020. "What Determines The Elasticity Of Substitution Between Capital And Labor? A Literature Review," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 847-875, September.
    3. Gechert, Sebastian & Havranek, Tomas & Irsova, Zuzana & Kolcunova, Dominika, 2019. "Death to the Cobb-Douglas Production Function? A Quantitative Survey of the Capital-Labor Substitution Elasticity," MPRA Paper 95949, University Library of Munich, Germany.
    4. Daan Steenkamp, 2018. "Factor Substitution and Productivity in New Zealand," The Economic Record, The Economic Society of Australia, vol. 94(304), pages 64-79, March.
    5. Sebastian Gechert & Tomas Havranek & Zuzana Irsova & Dominika Kolcunova, 2022. "Measuring Capital-Labor Substitution: The Importance of Method Choices and Publication Bias," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 55-82, July.
    6. 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.
    7. Robert Z. Lawrence, 2015. "Recent Declines in Labor's Share in US Income: A Preliminary Neoclassical Account," Working Paper Series WP15-10, Peterson Institute for International Economics.
    8. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    9. Kenneth G. Stewart & Jiang Li, 2018. "Are factor biases and substitution identifiable? The Canadian evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 51(2), pages 528-548, May.
    10. Kenneth G. Stewart & Jiang Li, 2018. "Are factor biases and substitution identifiable? The Canadian evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 51(2), pages 528-548, May.
    11. Alvarez-Cuadrado, Francisco & Long, Ngo Van & Poschke, Markus, 2018. "Capital-labor substitution, structural change and the labor income share," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 206-231.
    12. Kenneth G. Stewart, 2018. "Normalized CES supply systems: Replication of Klump, McAdam, and Willman (2007)," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(2), pages 290-296, March.
    13. Jakub Mućk & Peter McAdam & Jakub Growiec, 2018. "Will The “True” Labor Share Stand Up? An Applied Survey On Labor Share Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 32(4), pages 961-984, September.
    14. Song, Eunbi, 2021. "What drives labor share change? Evidence from Korean industries," Economic Modelling, Elsevier, vol. 94(C), pages 370-385.
    15. Dawson, John W. & Sturgill, Brad, 2022. "Market Institutions and Factor Shares Across Countries," Structural Change and Economic Dynamics, Elsevier, vol. 60(C), pages 266-289.
    16. Gómez, Manuel A., 2008. "Dynamics Of The Saving Rate In The Neoclassical Growth Model With Ces Production," Macroeconomic Dynamics, Cambridge University Press, vol. 12(2), pages 195-210, April.
    17. James Bessen, 2008. "Accounting for Productivity Growth When Technical Change is Biased," Working Papers 0802, Research on Innovation.
    18. Robert S. Chirinko & Debdulal Mallick, 2014. "The Substitution Elasticity, Factor Shares, Long-Run Growth, and the Low-Frequency Panel Model," CESifo Working Paper Series 4895, CESifo.
    19. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    20. Trenczek, Jan & Wacker, Konstantin M., 2023. "Human Capital Misallocation and Output per Worker Differences: Beyond Cobb-Douglas," GLO Discussion Paper Series 1331, Global Labor Organization (GLO).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:obuest:v:82:y:2020:i:1:p:62-82. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/sfeixuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.