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Generalized Fisher index or Siegel-Shapley decomposition?

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  • de Boer, Paul
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    Abstract

    It is generally believed that index decomposition analysis (IDA) and input-output structural decomposition analysis (SDA) [Rose, A., Casler, S., Input-output structural decomposition analysis: a critical appraisal, Economic Systems Research 1996; 8; 33-62; Dietzenbacher, E., Los, B., Structural decomposition techniques: sense and sensitivity. Economic Systems Research 1998;10; 307-323] are different approaches in energy studies; see for instance Ang et al. [Ang, B.W., Liu, F.L., Chung, H.S., A generalized Fisher index approach to energy decomposition analysis. Energy Economics 2004; 26; 757-763]. In this paper it is shown that the generalized Fisher approach, introduced in IDA by Ang et al. [Ang, B.W., Liu, F.L., Chung, H.S., A generalized Fisher index approach to energy decomposition analysis. Energy Economics 2004; 26; 757-763] for the decomposition of an aggregate change in a variable in r = 2, 3 or 4 factors is equivalent to SDA. They base their formulae on the very complicated generic formula that Shapley [Shapley, L., A value for n-person games. In: Kuhn H.W., Tucker A.W. (Eds), Contributions to the theory of games, vol. 2. Princeton University: Princeton; 1953. p. 307-317] derived for his value of n-person games, and mention that Siegel [Siegel, I.H., The generalized "ideal" index-number formula. Journal of the American Statistical Association 1945; 40; 520-523] gave their formulae using a different route. In this paper tables are given from which the formulae of the generalized Fisher approach can easily be derived for the cases of r = 2, 3 or 4 factors. It is shown that these tables can easily be extended to cover the cases of r = 5 and r = 6 factors.

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    Bibliographic Info

    Article provided by Elsevier in its journal Energy Economics.

    Volume (Year): 31 (2009)
    Issue (Month): 5 (September)
    Pages: 810-814

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    Handle: RePEc:eee:eneeco:v:31:y:2009:i:5:p:810-814

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    Web page: http://www.elsevier.com/locate/eneco

    Related research

    Keywords: Index decomposition analysis Input-output structural decomposition analysis Generalized Fisher index Siegel-Shapley decomposition;

    References

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    1. Chung, Hyun-Sik & Rhee, Hae-Chun, 2001. "A residual-free decomposition of the sources of carbon dioxide emissions: a case of the Korean industries," Energy, Elsevier, vol. 26(1), pages 15-30.
    2. Ang, B. W. & Liu, F. L. & Chew, E. P., 2003. "Perfect decomposition techniques in energy and environmental analysis," Energy Policy, Elsevier, vol. 31(14), pages 1561-1566, November.
    3. Mark De Haan, 2001. "A Structural Decomposition Analysis of Pollution in the Netherlands," Economic Systems Research, Taylor & Francis Journals, vol. 13(2), pages 181-196.
    4. Ang, B.W. & Liu, F.L. & Chung, Hyun-Sik, 2004. "A generalized Fisher index approach to energy decomposition analysis," Energy Economics, Elsevier, vol. 26(5), pages 757-763, September.
    5. Gale A. Boyd and Joseph M. Roop, 2004. "A Note on the Fisher Ideal Index Decomposition for Structural Change in Energy Intensity," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 87-102.
    6. Albrecht, Johan & Francois, Delphine & Schoors, Koen, 2002. "A Shapley decomposition of carbon emissions without residuals," Energy Policy, Elsevier, vol. 30(9), pages 727-736, July.
    7. Ang, B.W. & Zhang, F.Q., 2000. "A survey of index decomposition analysis in energy and environmental studies," Energy, Elsevier, vol. 25(12), pages 1149-1176.
    8. Erik Dietzenbacher & Bart Los, 1998. "Structural Decomposition Techniques: Sense and Sensitivity," Economic Systems Research, Taylor & Francis Journals, vol. 10(4), pages 307-324.
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    Cited by:
    1. Ang, B.W. & Huang, H.C. & Mu, A.R., 2009. "Properties and linkages of some index decomposition analysis methods," Energy Policy, Elsevier, vol. 37(11), pages 4624-4632, November.
    2. Choi, Ki-Hong & Ang, B.W., 2012. "Attribution of changes in Divisia real energy intensity index — An extension to index decomposition analysis," Energy Economics, Elsevier, vol. 34(1), pages 171-176.
    3. Cahill, Caiman J. & Ó Gallachóir, Brian P., 2010. "Monitoring energy efficiency trends in European industry: Which top-down method should be used?," Energy Policy, Elsevier, vol. 38(11), pages 6910-6918, November.
    4. Peter Mulder & Henri L.F. de Groot, 2012. "Structural Change and Convergence of Energy Intensity across OECD Countries, 1970-2005," Tinbergen Institute Discussion Papers 12-027/3, Tinbergen Institute.
    5. Lavanda, Italo, 2012. "Employees’ Compensation Share in Italy - La quota del reddito da lavoro dipendente in Italia (1965-2000)," Economia Internazionale / International Economics, Camera di Commercio di Genova, vol. 65(1), pages 55-64.
    6. Mulder, Peter & de Groot, Henri L.F., 2012. "Structural change and convergence of energy intensity across OECD countries, 1970–2005," Energy Economics, Elsevier, vol. 34(6), pages 1910-1921.
    7. Henri de Groot & Peter Mulder, 2011. "Dutch Sectoral Energy Intensity Developments in International Perspective, 1987–2005," CPB Discussion Paper 190, CPB Netherlands Bureau for Economic Policy Analysis.
    8. Ang, B.W. & Mu, A.R. & Zhou, P., 2010. "Accounting frameworks for tracking energy efficiency trends," Energy Economics, Elsevier, vol. 32(5), pages 1209-1219, September.
    9. Shigemi Kagawa & Yuriko Goto & Sangwon Suh & Keisuke Nansai & Yuki Kudoh, 2012. "Accounting for Changes in Automobile Gasoline Consumption in Japan: 2000–2007," Journal of Economic Structures, Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 1(1), pages 1-27, December.
    10. Peter Mulder & Henri L.F. de Groot, 2012. "Dutch Sectoral Energy Intensity Developments in International Perspective, 1987-2005," Tinbergen Institute Discussion Papers 12-049/3, Tinbergen Institute.

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