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Factor Substitution in U.S. Manufacturing: Does Plant Size Matter?

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Abstract

We use micro data for 10,412 U.S. manufacturing plants to estimate the degrees of factor substitution by industry and by plant size. We find that (1) capital, labor, energy and materials are substitutes in production, and (2) the degrees of substitution among inputs are quite similar across plant sizes in a majority of industries. Two important implications of these findings are that (1) small plants are typically as flexible as large plants in factor substitution; consequently, economic policies such energy conservation policies that result in rising energy prices would not cause negative effects on either large or small U.S. manufacturing plants; and (2) since energy and capital are found to be substitutes, the 1973 energy crisis is unlikely to be a significant factor contributing to the post 1973 productivity slowdown.

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References

  • Acs, Z. J. (ed.), 1996, Small Firms and Economic Growth, Cheltnam: Edward Elgar Publishers.

    Google Scholar 

  • Acs, Z. J., D. B. Audretsch and B. Carlsson, 1991, ‘Flexible Technology and Firm Size’, Small Business Economics 3, 307–320.

    Google Scholar 

  • Acs, Z. J. and L. Preston, 1997, ‘Small and Medium-Sized Enterprises, Technology, and Globalization: Introduction to a Special Issue on Small and Medium-Sized Enterprises in the Global Economy’, Small Business Economics 9(1), 1–6.

    Google Scholar 

  • Aiginger, K. and G. Tichy, 1991, ‘Small Firms and the Merger Mania’, Small Business Economics 3(2), 83–101.

    Google Scholar 

  • Allen, R. D. G., 1938, Mathematical Analysis For Economists, London: MacMillan.

    Google Scholar 

  • Anderson, R. G. and J. G. Thursby, 1986, ‘Confidence Intervals for Elasticity Estimators in Translog Models’, Review of Economics and Statistics 3, 647–656.

    Google Scholar 

  • Apostolakis, B. E., 1990, ‘Energy-Capital Substitutability/ Complementarity: The Dichotomy’, Energy Economics 1, 48–58.

    Google Scholar 

  • Audretsch, D. B., 1995, Innovation and Industry Evolution, Cambridge: MIT Press.

    Google Scholar 

  • Ball, V. E. and R. Chambers, 1982, ‘An Economic Analysis of Technology in the Meat Product Industry’, American Journal of Agricultural Analysis 64, 699–709.

    Google Scholar 

  • Bates, T. and A. Nucci, 1990, ‘An Analysis of Small Business Size and Rate of Discontinuance’, CES Working Paper 90–2, January.

  • Berndt, E. R., 1982, ‘Energy Price Increases and the Productivity Slowdown in United States Manufacturing’, in The Decline in Productivity Growth, Boston: The Federal Reserve Bank of Boston, pp. 60–62.

    Google Scholar 

  • Berndt, E. R. and M. S. Khaled, 1979, ‘Parametric Productivity Measurement and Choice Among Flexible Functional Forms’, Journal of Political Economy 6, 1220–1245.

    Google Scholar 

  • Berndt, E. R. and D. O. Wood, 1975, ‘Technology, Process, and the Derived Demand for Energy’, The Review of Economics and Statistics 68, 647–656.

    Google Scholar 

  • Berndt, E. R. and D. O. Wood, 1979, ‘Engineering and Econometric Interpretation of Energy-Capital Complementarity’, American Economic Review 3, 342–354.

    Google Scholar 

  • Berndt, E. R. and D. O. Wood, 1981, ‘Engineering and Economic Interpretations of Energy-Capital Complementarity: Reply and Further Results’, American Economic Review 5, 1105–1110

    Google Scholar 

  • Blackorby, C. and R. R. Russell, 1986, ‘The Partial Elasticity of Substitution’, Discussion Paper. No. 75–1, Economics Department, University of California, San Diego.

    Google Scholar 

  • Blackorby, C. and R. R. Russell, 1989, ‘Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)’, American Economic Review 4, 882–888.

    Google Scholar 

  • Bradburd, R. M. and D. R. Ross,1989, ‘Can Small Firms Find and Defend Strategic Niches? A Test of the Porter Hypothesis’, Review of Economics and Statistics 71(2).

  • Brock, W. A. and D. S. Evans, 1986, The Economics of Small Business: Their Role and Regulation in the U.S. Economy, New York: Holmes and Meier Publishers.

    Google Scholar 

  • Buckley, P. J., 1997, ‘International Technology Transfer by Small and Medium-Sized Enterprises’, Small Business Economics 9, 67–78.

    Google Scholar 

  • Burgess D. F., 1975, ‘Duality Theory and Pitfalls in the Specification of Technologies’, Journal of Econometrics 3, 105–121.

    Google Scholar 

  • Caves, R. and D. Barton, 1990, Efficiency in U.S. Manufacturing Industries, Cambridge: MIT Press.

    Google Scholar 

  • Chambers, R. G., 1988, Applied Production Analysis: A Dual Approach, New York: Cambridge.

    Google Scholar 

  • Christensen, L. R., D. W. Jorgenson and L. J. Lau, 1971, ‘Conjugate Duality and the Transcendental Logarithmic Production Function’, Econometrica 39, 255–266.

    Google Scholar 

  • Chung, J. W., 1987, ‘On the Estimation of Factor Substitution in the Translog Model’, Review of Economics and Statistics, 409–417.

  • Clark, K. B., 1980, ‘Unionization and Productivity: Micro-Econometric Evidence’, Quarterly Journal of Economics 95, 613–640.

    Google Scholar 

  • Cohen, W. M. and S. Klepper, 1992, ‘The Tradeoff Between Firm Size and Diversity in the Pursuit of Technological Progress’, Small Business Economics 4(1), 1–14.

    Google Scholar 

  • Denison, E. F., 1979, Accounting for Slower Economic Growth, Washington, D.C.: The Brooking Institute.

    Google Scholar 

  • Denny, M., M. Fuss and L. Waverman, 1981, ‘Substitution Possibilities for Energy: Evidence from U.S. and Canadian Manufacturing’, in E. R. Berndt and B. C. Field (eds.), Modeling and Measuring Natural Resource Substitution, Cambridge, MA: MIT Press, pp. 230–257.

    Google Scholar 

  • Denny, M. and D. May, 1977, ‘The Existence of Real Value-Added Function in the Canadian Manufacturing Sector’, Journal of Econometrics 5, 55–69.

    Google Scholar 

  • Diewert, W. E. and T. J. Wales, 1987, ‘Flexible Functional Forms and Global Curvature Conditions’, Econometrica 55, 43–68.

    Google Scholar 

  • Doms, M. E., 1996, ‘Estimating Capital Efficiency Schedules Within Production Functions’, Economic Inquiry 34, 78–92.

    Google Scholar 

  • Dunne, T., 1994, ‘Plant Age and Technology Use in U.S. Manufacturing Industries’, RAND Journal of Economics 25(3), 488–499.

    Google Scholar 

  • Dunne, T., M. J. Roberts and L. Samuelson, 1988, ‘Patterns of Firm Entry and Exit in U.S. Manufacturing Industries’, RAND Journal of Economics 19(4), 495–515.

    Google Scholar 

  • Dunne, T., M. J. Roberts and L. Samuelson, 1989, ‘The Growth and Failure in U.S. Manufacturing Plants’, Quarterly Journal of Economics(November), 671–698.

  • Dwyer, D. W., 1997, ‘Productivity Races II: The Issue of Capital Measurement’, CES Discussion Paper 1997–3, U.S. Bureau of the Census, Center for Economic Studies, Washington, D.C.

  • Field, B. C. and C. Grebenstein, 1980, ‘Capital-Energy Substitution in U.S. Manufacturing’, Review of Economics and Statistics 2, 207–212.

    Google Scholar 

  • Freeman, R. B. and J. L. Medoff, 1984, What Unions Do?, New York: Basic Books.

    Google Scholar 

  • Griffin, J. M., 1981, ‘Engineering and Econometric Interpretations of Energy-Capital Complementarity: Comment’, American Economic Review 5, 1100–1104.

    Google Scholar 

  • Griffin, J. M. and P. R. Gregory, 1976, ‘An Intercountry Translog Model of Energy Substitution Responses’, American Economic Review 66, 845–857.

    Google Scholar 

  • Griliches, Z., 1994, ‘Productivity, R&D, and the Data Constraint’, American Economic Review 11, 1–23.

    Google Scholar 

  • Hansen, J. A., 1992, ‘Innovation, Firm Size, and Firm Age’, Small Business Economics 4(1), 37–44.

    Google Scholar 

  • Hasnanik, J. J. and B. L. Kyer, 1995, ‘Assessing a Disaggregated Energy Input’, Energy Economics2, 125–132.

    Google Scholar 

  • Hudson, E. A. and D. W. Jorgenson, 1974, ‘U.S. Energy Policy and Economic Growth, 1975–2000’, Bell Journal of Economics 5, 461-514.

    Google Scholar 

  • Katz, H. C., T. A. Kochan and J. H. Keefe, 1987, ‘Industrial Relations and Productivity in the U.S. Automobile Industry’, Brookings Papers on Economic Activities 3, 685–715.

    Google Scholar 

  • Kulalilaka, N., 1985, ‘Tests on the Validity of Static Equilibrium Models’, Journal of Econometrics 28, 253–268.

    Google Scholar 

  • McFadden, D., 1978, ‘The General Linear Profit Function’, in M. Fuss and D. McFadden (eds.), Production Economics: A Dual Approach to Theory and Application, Vol. 1, Amsterdam: North-Holland, pp. 269–286.

    Google Scholar 

  • Magnus, J. R., 1979, ‘Substitution Between Energy and Non-Energy in the Netherlands 1950–1976’, International Economic Review 20, 465-484.

    Google Scholar 

  • Miller, E., 1986, ‘Cross-Sectional and Times Series Biases in Factor Demand Studies: Explaining Energy-Capital Complementarity’, Southern Economic Journal 52(3), 745–762.

    Google Scholar 

  • Morishima, M., 1967, ‘A Few Suggestions on the Theory of Elasticity’, Keizai Hyoron (Economic Review) 16, 145–150.

    Google Scholar 

  • Morrison, C., 1993, ‘Energy and Capital: Further Exploration of E-K Interactions and Economic Performance’, Energy Journal 1, 217–243.

    Google Scholar 

  • Morrison, C. and E. Berndt, 1981, ‘Short-run Labor Productivity in a Dynamic Model’, Journal of Econometrics 16, 339–365.

    Google Scholar 

  • Nguyen, S. V. and S. H. Andrews, 1989, ‘The Effect of Energy Aggregation on Energy Elasticities: Some Evidence from U.S. Manufacturing Data’, Energy Journal 1, 149–156.

    Google Scholar 

  • Nguyen, S. V. and A. Reznek, 1993, ‘Factor Substitution in Small and Large U.S. Manufacturing Establishments’, Small Business Economics 5, 37–54.

    Google Scholar 

  • Nguyen, S. V. and M. L. Streitwieser, 1997, ‘Capital-Energy Substitution Revisited: New Evidence from Micro Data’, CES Discussion paper 97–4, U.S. Bureau of the Census, Center for Economic Studies, Washington, D.C.

    Google Scholar 

  • Ozatalay, S., S. Grubaugh and T. V. Long, 1979, ‘Energy Substitution and National Energy Policy’, American Economic Review 2, 369–371.

    Google Scholar 

  • Pakes and Erikson, 1998, ‘Empirical Implications of Alternative Models of Firm and Industry Dynamics’, Journal of Economic Theory, forthcoming.

  • Piore, Michael J. and Charles F. Sabel, 1984, The Second industrial Divide: Possibility for Prosperity, New York: Basic Books.

    Google Scholar 

  • Pindyck, R. S., 1979, ‘Interfuel Substitution and the Industrial Demand for Energy: An International Comparison’, Review of Economics and Statistics 2, 169–179.

    Google Scholar 

  • Pindyck, R. S. and J. J. Rotemberg, 1983, ‘Dynamic Factor Demands and the Effects of Energy Shocks’, American Economic Review 5, 1066–1079.

    Google Scholar 

  • Sickles, Robin C. and Mary L. Streitwieser, 1992, ‘Technical Efficiency and Productive in the U.S. Interstate Natural Gas Pipeline Industry under the Natural Gas Act’, Journal of Productivity Analysis 3(1/2), 115–133.

    Google Scholar 

  • Solow, J. L., 1987, ‘The Capital-Energy Complementarity Debate Revisited’, American Economic Review 77, 605–614.

    Google Scholar 

  • Stapleton, D. C., 1981, ‘Inferring Long-Term Substitution Possibilities from Cross-Section and Time-Series Data’, in E. R. Berndt and B. C. Field (eds.), Modeling and Measuring Natural Resource Substitution, Cambridge: MIT Press, pp. 93–118.

    Google Scholar 

  • Thompson P. and T. G. Taylor, 1995, ‘The Capital-Energy Substitutability Debate: A New Look’, Review of Economics and Statistics, 565–569.

  • U.S. Small Business Administration, 1987, The State of Small Business: A Report of the President to the Congress, 1987, Washington, D.C.: U.S. Government Printing Office.

    Google Scholar 

  • Wales, T. J., 1977, ‘On the Flexibility of Flexible Functional Forms’, Journal of Econometrics 5, 183–193.

    Google Scholar 

  • Zellner, A., 1963, 'Estimators of Seemingly Unrelated

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Nguyen, S.V., Streitwieser, M.L. Factor Substitution in U.S. Manufacturing: Does Plant Size Matter?. Small Business Economics 12, 41–57 (1999). https://doi.org/10.1023/A:1008084704648

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