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An economic approach to environmental indices

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  • Bellenger, Moriah J.
  • Herlihy, Alan T.

Abstract

This study uses the directional output distance function from economic productivity theory as an alternative approach to environmental index construction. We use the directional output distance function to aggregate multiple environmental objectives into one measure of environmental performance. We apply this method to a set of watershed data and compare our results to the existing U.S. Environmental Protection Agency (EPA) index values. When modeling the same set of objectives, the directional output distance function and the existing EPA index yield similar measures of environmental performance. We discuss the mathematical properties of both indices using the axioms of economic index theory, and explore the possible advantages to our approach. The mathematical properties of the directional output distance function are well established and this approach provides a nonparametric way to aggregate individual characteristics. This advances the standard use of a priori-weighted summation, and circumvents the often contentious selection of index weights.

Suggested Citation

  • Bellenger, Moriah J. & Herlihy, Alan T., 2009. "An economic approach to environmental indices," Ecological Economics, Elsevier, vol. 68(8-9), pages 2216-2223, June.
  • Handle: RePEc:eee:ecolec:v:68:y:2009:i:8-9:p:2216-2223
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    1. Fare, R. & Grosskopf, S. & Hernandez-Sancho, F., 2004. "Environmental performance: an index number approach," Resource and Energy Economics, Elsevier, vol. 26(4), pages 343-352, December.
    2. Coggins, Jay S. & Swinton, John R., 1996. "The Price of Pollution: A Dual Approach to Valuing SO2Allowances," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 58-72, January.
    3. Kortelainen, Mika, 2008. "Dynamic environmental performance analysis: A Malmquist index approach," Ecological Economics, Elsevier, vol. 64(4), pages 701-715, February.
    4. Picazo-Tadeo, Andres J. & Reig-Martinez, Ernest & Hernandez-Sancho, Francesc, 2005. "Directional distance functions and environmental regulation," Resource and Energy Economics, Elsevier, vol. 27(2), pages 131-142, June.
    5. Fare, Rolf & Grosskopf, Shawna & Tyteca, Daniel, 1996. "An activity analysis model of the environmental performance of firms--application to fossil-fuel-fired electric utilities," Ecological Economics, Elsevier, vol. 18(2), pages 161-175, August.
    6. Atakelty Hailu & Terrence S. Veeman, 2001. "Non-parametric Productivity Analysis with Undesirable Outputs: An Application to the Canadian Pulp and Paper Industry," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(3), pages 605-616.
    7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    8. Fare, Rolf, et al, 1993. "Derivation of Shadow Prices for Undesirable Outputs: A Distance Function Approach," The Review of Economics and Statistics, MIT Press, vol. 75(2), pages 374-380, May.
    9. Knox Lovell, C. A. & Pastor, Jesus T., 1997. "Target setting: An application to a bank branch network," European Journal of Operational Research, Elsevier, vol. 98(2), pages 290-299, April.
    10. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    11. Fare, Rolf & Grosskopf, Shawna & Noh, Dong-Woon & Weber, William, 2005. "Characteristics of a polluting technology: theory and practice," Journal of Econometrics, Elsevier, vol. 126(2), pages 469-492, June.
    12. Paul J. Ferraro, 2004. "Targeting Conservation Investments in Heterogeneous Landscapes: A Distance-Function Approach and Application to Watershed Management," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(4), pages 905-918.
    13. Munksgaard, Jesper & Christoffersen, Line Block & Keiding, Hans & Pedersen, Ole Gravgard & Jensen, Trine S., 2007. "An environmental performance index for products reflecting damage costs," Ecological Economics, Elsevier, vol. 64(1), pages 119-130, October.
    14. Zhou, P. & Ang, B.W. & Poh, K.L., 2007. "A mathematical programming approach to constructing composite indicators," Ecological Economics, Elsevier, vol. 62(2), pages 291-297, April.
    15. Stijn Reinhard & C.A. Knox Lovell & Geert Thijssen, 1999. "Econometric Estimation of Technical and Environmental Efficiency: An Application to Dutch Dairy Farms," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 44-60.
    16. Laurens Cherchye, 2001. "Using data envelopment analysis to assess macroeconomic policy performance," Applied Economics, Taylor & Francis Journals, vol. 33(3), pages 407-416.
    17. Daniel Tyteca, 1997. "Linear Programming Models for the Measurement of Environmental Performance of Firms—Concepts and Empirical Results," Journal of Productivity Analysis, Springer, vol. 8(2), pages 183-197, May.
    18. Diewert, W E, 1992. "The Measurement of Productivity," Bulletin of Economic Research, Wiley Blackwell, vol. 44(3), pages 163-198, July.
    19. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
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