IDEAS home Printed from https://ideas.repec.org/p/zbw/zewdip/5221.html
   My bibliography  Save this paper

Curvature conditions and substitution pattern among capital, energy, materials and heterogeneous labour

Author

Listed:
  • Koebel, Bertrand M.
  • Falk, Martin

Abstract

This study deals with the determinants of factor demand in 27 industries of the manufacturing sector during the period 1978 to 1990. Using a quadratic cost function, six production factors are distinguished : capital, energy, three types of labour and intermediate materials. A parametric test of the concavity of the cost function in prices is provided and price elasticities are compared when curvature conditions are imposed or not. The result show, firstly, that in general estimates do not appear very sensitive to imposing theoretical restrictions implied by optimising behaviour. Secondly, demand for unskilled and medium skilled labour than any other pairs of inputs.

Suggested Citation

  • Koebel, Bertrand M. & Falk, Martin, 1999. "Curvature conditions and substitution pattern among capital, energy, materials and heterogeneous labour," ZEW Discussion Papers 99-06, ZEW - Leibniz Centre for European Economic Research.
  • Handle: RePEc:zbw:zewdip:5221
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/24293/1/dp0699.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Felix Fitzroy & Michael Funke, 1998. "Skills, Wages and Employment in East and West Germany," Regional Studies, Taylor & Francis Journals, vol. 32(5), pages 459-467.
    2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    3. Bertrand Koebel, 1998. "Tests of Representative Firm Models: Results for German Manufacturing Industries," Journal of Productivity Analysis, Springer, vol. 10(3), pages 251-270, November.
    4. Shadman-Mehta, Fatemeh & Sneessens, Henri, 1995. "Skill Demand and Factor Substitution," CEPR Discussion Papers 1279, C.E.P.R. Discussion Papers.
    5. Fitzenberger, Bernd, 1996. "Wages, prices, and international trade: Trends across industries for an "export champion"," Discussion Papers, Series II 323, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    6. Thompson, Peter & Taylor, Timothy G, 1995. "The Capital-Energy Substitutability Debate: A New Look," The Review of Economics and Statistics, MIT Press, vol. 77(3), pages 565-569, August.
    7. B. Ripley & Philippa Pattison & Paul Thompson & Jan Leeuw & Ludovic Lebart & Brian Everitt & Roderick McDonald & Jeffrey Banfield & Richard Hathaway, 1990. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 7(2), pages 287-316, September.
    8. Kodde, David A & Palm, Franz C, 1987. "A Parametric Test of the Negativity of the Substitution Matrix," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 2(3), pages 227-235, July.
    9. Eli Berman & John Bound & Zvi Griliches, 1994. "Changes in the Demand for Skilled Labor within U. S. Manufacturing: Evidence from the Annual Survey of Manufactures," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 367-397.
    10. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-283, April.
    11. FitzRoy, Felix & Funke, Michael, 1995. "Capital-Skill Complementarity in West German Manufacturing," Empirical Economics, Springer, vol. 20(4), pages 651-665.
    12. Kugler, P. & Muller, U. & Sheldon, G., 1989. "Non-neutral technical change, capital, white-collar and blue-collar labor : Some empirical results," Economics Letters, Elsevier, vol. 31(1), pages 91-94.
    13. Gagne, Robert & Ouellette, Pierre, 1998. "On the Choice of Functional Forms: Summary of a Monte Carlo Experiment," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 118-124, January.
    14. Hardle, Wolfgang & Hildenbrand, Werner & Jerison, Michael, 1991. "Empirical Evidence on the Law of Demand," Econometrica, Econometric Society, vol. 59(6), pages 1525-1549, November.
    15. Steiner, Viktor & Wagner, Kersten, 1997. "Relative Earnings and the Demand for Unskilled Labor in West German Manufacturing," ZEW Discussion Papers 97-17, ZEW - Leibniz Centre for European Economic Research.
    16. Fitzenberger, Bernd & Franz, Wolfgang, 1997. "Flexibilität der qualifikatorischen Lohnstruktur und Lastverteilung der Arbeitslosigkeit: Eine ökonometrische Analyse für Westdeutschland," ZEW Discussion Papers 97-32, ZEW - Leibniz Centre for European Economic Research.
    17. Bergstrom, Villy & Panas, Epaminondas E, 1992. "How Robust Is the Capital-Skill Complementarity Hypothesis?," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 540-546, August.
    18. Julian R. Betts, 1997. "The Skill Bias Of Technological Change In Canadian Manufacturing Industries," The Review of Economics and Statistics, MIT Press, vol. 79(1), pages 146-150, February.
    19. Steiner, Viktor & Mohr, Robert, 1998. "Industrial change, stability of relative earnings, and substitution of unskilled labor in West-Germany," ZEW Discussion Papers 98-22, ZEW - Leibniz Centre for European Economic Research.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Franz, Wolfgang, 1999. "Real and monetary challenges to wage policy in Germany at the turn of the millennium: technical progress, globalization and European Monetary Union," ZEW Discussion Papers 99-48, ZEW - Leibniz Centre for European Economic Research.
    2. 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.
    3. repec:zbw:rwirep:0056 is not listed on IDEAS
    4. Andrey Launov & Christian Holzner, 2005. "Search Equilibrium, Production Parameters and Social Returns to Education: Theory and Estimation," 2005 Meeting Papers 604, Society for Economic Dynamics.
    5. Koschel, Henrike, 2000. "Substitution elasticities between capital, labour, material, electricity and fossil fuels in German producing and service sectors," ZEW Discussion Papers 00-31, ZEW - Leibniz Centre for European Economic Research.
    6. Bölük, Gülden & Koç, A. Ali, 2010. "Electricity demand of manufacturing sector in Turkey: A translog cost approach," Energy Economics, Elsevier, vol. 32(3), pages 609-615, May.
    7. Lena Jacobi & Sandra Schaffner, 2008. "Does Marginal Employment Substitute Regular Employment? – A Heterogeneous Dynamic Labor Demand Approach for Germany," Ruhr Economic Papers 0056, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    8. Kjersti-Gro Lindquist & Terje Skjerpen, 2000. "Explaining the change in skill structure of labour demand in Norwegian manufacturing," Discussion Papers 293, Statistics Norway, Research Department.
    9. Fitzenberger, Bernd & Kohn, Karsten, 2006. "Skill Wage Premia, Employment, and Cohort Effects: Are Workers in Germany All of the Same Type?," IZA Discussion Papers 2185, Institute of Labor Economics (IZA).
    10. Martin Falk & Bertrand Koebel, 2001. "A dynamic heterogeneous labour demand model for German manufacturing," Applied Economics, Taylor & Francis Journals, vol. 33(3), pages 339-348.
    11. Koetse, Mark J. & de Groot, Henri L.F. & Florax, Raymond J.G.M., 2008. "Capital-energy substitution and shifts in factor demand: A meta-analysis," Energy Economics, Elsevier, vol. 30(5), pages 2236-2251, September.
    12. Falk, Martin, 1999. "Technological innovations and the expected demand for skilled labour at the firm level," ZEW Discussion Papers 99-59, ZEW - Leibniz Centre for European Economic Research.
    13. Jacobi, Lena & Schaffner, Sandra, 2008. "Does Marginal Employment Substitute Regular Employment? – A Heterogeneous Dynamic Labor Demand Approach for Germany," Ruhr Economic Papers 56, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    14. Steiner, Viktor & Peters, Ralf-Henning, 2000. "Employment effects of work sharing: an econometric analysis for West Germany," ZEW Discussion Papers 00-20, ZEW - Leibniz Centre for European Economic Research.

    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. Falk, Martin & Koebel, Bertrand M., 1997. "The Demand of Heterogeneous Labour in Germany," ZEW Discussion Papers 97-28, ZEW - Leibniz Centre for European Economic Research.
    2. Koebel, Bertrand M. & Falk, Martin & Laisney, François, 2000. "Imposing and testing curvature conditions on a Box-Cox function," ZEW Discussion Papers 00-70, ZEW - Leibniz Centre for European Economic Research.
    3. Martin Falk & Bertrand Koebel, 2001. "A dynamic heterogeneous labour demand model for German manufacturing," Applied Economics, Taylor & Francis Journals, vol. 33(3), pages 339-348.
    4. Hanan Nazier, 2019. "Estimating Labor Demand Elasticities and Elasticities of Substitution in Egyptian Manufacturing Sector: A Firm-Level Static Analysis," The Indian Journal of Labour Economics, Springer;The Indian Society of Labour Economics (ISLE), vol. 62(4), pages 549-575, December.
    5. Fitzenberger, Bernd & Franz, Wolfgang, 1997. "Flexibilität der qualifikatorischen Lohnstruktur und Lastverteilung der Arbeitslosigkeit: Eine ökonometrische Analyse für Westdeutschland," ZEW Discussion Papers 97-32, ZEW - Leibniz Centre for European Economic Research.
    6. Perez-Laborda, Alejandro & Perez-Sebastian, Fidel, 2020. "Capital-skill complementarity and biased technical change across US sectors," Journal of Macroeconomics, Elsevier, vol. 66(C).
    7. Puhani, Patrick A., 2001. "Wage rigidities in Western Germany? Microeconometric evidence from the 1990s," ZEW Discussion Papers 01-36, ZEW - Leibniz Centre for European Economic Research.
    8. 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.
    9. Daniel J. Henderson, 2009. "A Non‐parametric Examination of Capital–Skill Complementarity," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(4), pages 519-538, August.
    10. Hyunbae Chun & Sung‐Bae Mun, 2006. "Substitutability and Accumulation of Information Technology Capital in U.S. Industries," Southern Economic Journal, John Wiley & Sons, vol. 72(4), pages 1002-1015, April.
    11. Gerlach, Knut & Jirjahn, Uwe, 1998. "Technischer Fortschritt, Arbeitsorganisation und Qualifikation : eine empirische Analyse für das Verarbeitende Gewerbe Niedersachsens (Technological progress, organisation of labour, and qualification," Mitteilungen aus der Arbeitsmarkt- und Berufsforschung, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 31(3), pages 426-437.
    12. Gerlach, Knut & Jirjahn, Uwe, 1998. "Technischer Fortschritt, Arbeitsorganisation und Qualifikation : eine empirische Analyse für das Verarbeitende Gewerbe Niedersachsens (Technological progress, organisation of labour, and qualification," Mitteilungen aus der Arbeitsmarkt- und Berufsforschung, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 31(3), pages 426-437.
    13. Marijn Verschelde & Michel Dumont & Bruno Merlevede & Glenn Rayp, 2014. "A constrained nonparametric regression analysis of factor-biased technical change and TFP growth at the firm level," Working Paper Research 266, National Bank of Belgium.
    14. Diehl, Markus, 1999. "The Impact of International Outsourcing on the Skill Structure of Employment: Empirical Evidence from German Manufacturing Industries," Kiel Working Papers 946, Kiel Institute for the World Economy (IfW Kiel).
    15. Steiner, Viktor & Mohr, Robert, 1998. "Industrial change, stability of relative earnings, and substitution of unskilled labor in West-Germany," ZEW Discussion Papers 98-22, ZEW - Leibniz Centre for European Economic Research.
    16. Kaiser, Ulrich, 1998. "The Impact of New Technologies on the Demand for Heterogenous Labour: Empirical Evidence from the German Business-Related Services Sector," ZEW Discussion Papers 98-26, ZEW - Leibniz Centre for European Economic Research.
    17. Lücke, Matthias, 1999. "Sectoral value added prices, TFP growth, and the low-skilled wage in high-income countries," Kiel Working Papers 923, Kiel Institute for the World Economy (IfW Kiel).
    18. Sami SAAFI, 2009. "Innovations technologiques, mobilité et demande de main-d’oeuvre qualifiée. Une analyse des industries tunisiennes (Technological innovations, mobility and skilled-labour deamnd : an analysis of tunis," Working Papers 206, Laboratoire de Recherche sur l'Industrie et l'Innovation. ULCO / Research Unit on Industry and Innovation.
    19. Koschel, Henrike, 2000. "Substitution elasticities between capital, labour, material, electricity and fossil fuels in German producing and service sectors," ZEW Discussion Papers 00-31, ZEW - Leibniz Centre for European Economic Research.
    20. Frondel, Manuel & Schmidt, Christoph M., 2003. "Rejecting capital-skill complementarity at all costs," Economics Letters, Elsevier, vol. 80(1), pages 15-21, July.

    More about this item

    Keywords

    curvature conditions; elasticities of substitution; skill structure;
    All these keywords.

    JEL classification:

    • J21 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Force and Employment, Size, and Structure
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production

    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:zbw:zewdip:5221. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/zemande.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.