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The Energy-Capital Complementarity Debate: An Example of a Bootstrapped Sensitivity Analysis


  • Raj, Baldev

    (Department of Economics, Wilfried Laurier University, Waterloo, Ontario)

  • Veall, Michael R.

    (Department of Economics, McMaster University, Hamilton, Ontario)


The aggregate production function approach is one way to forecast future energy demand (a step in forecasting carbon dioxide emissions, for example) and to analyze the aggregate economic effects of measures such as the increase of taxes on energy use. The results of such an approach tend to hinge on whether energy and capital are substitutes, implying that increases in energy prices will increase the demand for capital stock or are complements, implying that increases in energy prices will reduce the demand for capital stock. In a famous but controversial paper, Berndt and Wood (1975) find energy and capital are complements using aggregate time series manufacturing data for the United States, 1947-1971. Ilmakunnas (1986) shows that much of this analysis is sensitive to the imposition of theoretical economic restrictions and provides a range of point estimates in a sensitivity analysis. The current paper discusses these issues further and taking the Berndt-Wood study as an empirical example, shows that the estimation sensitivity is due to one particular set of restrictions known as symmetry restrictions and provides a bootstrap analysis which suggests that estimation sensitivity is almost entirely in the means of the sampling distributions and not in their shapes or degrees of dispersion.

Suggested Citation

  • Raj, Baldev & Veall, Michael R., 1996. "The Energy-Capital Complementarity Debate: An Example of a Bootstrapped Sensitivity Analysis," Economics Series 23, Institute for Advanced Studies.
  • Handle: RePEc:ihs:ihsesp:23

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    More about this item


    Energy-Capital Substitution; Mixed Estimation;

    JEL classification:

    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production


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