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Stochastic Dominance, Entropy and Biodiversity Management


  • Catherine M. Chambers
  • Paul E. Chambers
  • John R. Crooker
  • John C. Whitehead


In this paper we develop a model of population dynamics using the Shannon entropy index, a measure of diversity that allows for global and specific population shocks. We model the effects of increasing the number of parcels on biodiversity, varying the number of spatially diverse parcels to capture risk diversification. We discuss the concepts of stochastic dominance as a means of project selection, in order to model biodiversity returns and risks. Using a Monte Carlo simulation we find that stochastic dominance may be a useful theoretical construct for project selections but it is unable to rank every case. Key Words: Stochastic Dominance, Entropy, Biodiversity Management

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  • Catherine M. Chambers & Paul E. Chambers & John R. Crooker & John C. Whitehead, 2008. "Stochastic Dominance, Entropy and Biodiversity Management," Working Papers 08-08, Department of Economics, Appalachian State University.
  • Handle: RePEc:apl:wpaper:08-08

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    References listed on IDEAS

    1. Pablo C. Benítez & Timo Kuosmanen & Roland Olschewski & G. Cornelis van Kooten, 2006. "Conservation Payments under Risk: A Stochastic Dominance Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(1), pages 1-15.
    2. Solow Andrew & Polasky Stephen & Broadus James, 1993. "On the Measurement of Biological Diversity," Journal of Environmental Economics and Management, Elsevier, vol. 24(1), pages 60-68, January.
    3. Robert Innes & Stephen Polasky & John Tschirhart, 1998. "Takings, Compensation and Endangered Species Protection on Private Lands," Journal of Economic Perspectives, American Economic Association, vol. 12(3), pages 35-52, Summer.
    4. Hans-Peter Weikard, 2002. "Diversity Functions and the Value of Biodiversity," Land Economics, University of Wisconsin Press, vol. 78(1), pages 20-27.
    5. Lueck, Dean & Michael, Jeffrey A, 2003. "Preemptive Habitat Destruction under the Endangered Species Act," Journal of Law and Economics, University of Chicago Press, vol. 46(1), pages 27-60, April.
    6. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    7. Montgomery Claire A. & Brown Jr. , Gardner M. & Adams Darius M., 1994. "The Marginal Cost of Species Preservation: The Northern Spotted Owl," Journal of Environmental Economics and Management, Elsevier, vol. 26(2), pages 111-128, March.
    8. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    9. Wagayehu Bekele, 2005. "Stochastic Dominance Analysis of Soil and Water Conservation in Subsistence Crop Production in the Eastern Ethiopian Highlands: The Case of the Hunde-Lafto Area," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 32(4), pages 533-550, December.
    10. Alavalapati, Janaki R. R. & Stainback, George A. & Carter, Douglas R., 2002. "Restoration of the longleaf pine ecosystem on private lands in the US South: an ecological economic analysis," Ecological Economics, Elsevier, vol. 40(3), pages 411-419, March.
    11. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
    12. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 363-405.
    13. Simpson, R. David, 2002. "Definitions of Biodiversity and Measures of Its Value," Discussion Papers dp-02-62, Resources For the Future.
    14. Gardner M. Brown & Jason F. Shogren, 1998. "Economics of the Endangered Species Act," Journal of Economic Perspectives, American Economic Association, vol. 12(3), pages 3-20, Summer.
    15. Loomis, John B. & White, Douglas S., 1996. "Economic benefits of rare and endangered species: summary and meta-analysis," Ecological Economics, Elsevier, vol. 18(3), pages 197-206, September.
    16. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    17. Martin L. Weitzman, 1993. "What to Preserve? An Application of Diversity Theory to Crane Conservation," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 157-183.
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    JEL classification:

    • Q24 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Land

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