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Cross Section Translog Production and Elasticity of Substitution in U.S. Manufacturing Industry


  • Sooriyakumar Krishnapillai

    (Department of Agricultural Economics and Rural sociology, Auburn University, U.S.A.)

  • Henry Thompson

    (Department of Agricultural Economics and Rural Sociology, Auburn University, U.S.A.)


This paper examines elasticity of substitution among electricity, labor and capital in U.S. manufacturing industry, using cross section data of 2007. In this analysis, Manufacturing industries were categorized into three categories based on input use and technology. Translog homothetic and non-homothetic production functions for each category were estimated but the restrictions imposed for homothetic production were rejected. The estimated parameters of non homothetic production function were used to estimate the own, cross price and Morishma elasticities of inputs for three different manufacturing categories. These elasticities indicate that capital, electricity and labor are substitutes each other. Cross price elasticities indicate that that electricity is weak substitute to capital and labor but capital and labor are strong substitutes to electricity. These elasticities and the availability of nonrenewable energy source suggest that price of electricity or energy will rise faster than wage and interest rate increase with economic growth. This implies that policies promoting the development and commercialization of alternative energy sources would be a better solution than policies promoting new energy saving physical capital or increasing labor productivity to meet the increasing demand for electricity.

Suggested Citation

  • Sooriyakumar Krishnapillai & Henry Thompson, 2012. "Cross Section Translog Production and Elasticity of Substitution in U.S. Manufacturing Industry," International Journal of Energy Economics and Policy, Econjournals, vol. 2(2), pages 50-54.
  • Handle: RePEc:eco:journ2:2012-02-1

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    References listed on IDEAS

    1. Apostolakis, Bobby E., 1990. "Energy--capital substitutability/ complementarity : The dichotomy," Energy Economics, Elsevier, vol. 12(1), pages 48-58, January.
    2. Sang V. Nguyen & Stephen H. Andrews, 1989. "The Effect of Energy Aggregation on Energy Elasticities: Some Evidence from U.S. Manufacturing Data," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 149-156.
    3. Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-857, December.
    4. Humphrey, David Burras & Moroney, John R, 1975. "Substitution among Capital, Labor, and Natural Resource Products in American Manufacturing," Journal of Political Economy, University of Chicago Press, vol. 83(1), pages 57-82, February.
    5. Halvorsen, Robert, 1977. "Energy Substitution in U.S. Manufacturing," The Review of Economics and Statistics, MIT Press, vol. 59(4), pages 381-388, November.
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    Cited by:

    1. 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.
    2. Shaibu, Abdul-Fatawu & Al-Hassan, R. M., 2015. "Accessibility of Rice Farmers to the Ghana School Feeding Programme and its Effect on Output," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 7(3), September.
    3. Md. Shakil Ahmed & Mohammed Ziaul Haider, 2013. "Efficient Utilization of Resources in Manufacturing Firms," Asian Journal of Empirical Research, Asian Economic and Social Society, vol. 3(7), pages 821-835, July.
    4. Magdalena Zachlod-Jelec & Jakub BoratyƄski, 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.

    More about this item


    Elasticity of substitution; Manufacturing industries; Translog production function;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L60 - Industrial Organization - - Industry Studies: Manufacturing - - - General


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