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Stochastic Dominance, Entropy and Biodiversity Management

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

Abstract

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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File URL: http://econ.appstate.edu/RePEc/pdf/wp0808.pdf
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Bibliographic Info

Paper provided by Department of Economics, Appalachian State University in its series Working Papers with number 08-08.

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Date of creation: 2008
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Handle: RePEc:apl:wpaper:08-08

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Postal: Thelma C. Raley Hall, Boone, North Carolina 28608
Phone: 828-262-2148
Fax: 828-262-6105
Web page: http://www.business.appstate.edu/departments/economics/
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  1. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
  2. 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.
  3. Weitzman, M.L., 1991. "On Diversity," Harvard Institute of Economic Research Working Papers 1553, Harvard - Institute of Economic Research.
  4. Simpson, R. David, 2002. "Definitions of Biodiversity and Measures of Its Value," Discussion Papers dp-02-62, Resources For the Future.
  5. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  6. Pablo Benítez & Timo Kuosmanen & Roland Olschewski & G. Cornelis van Kooten, 2004. "Conservation Payments under Risk: A Stochastic Dominance Approach," Working Papers 2004-05, University of Victoria, Department of Economics, Resource Economics and Policy Analysis Research Group.
  7. 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.
  8. 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.
  9. 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.
  10. 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, European Association of Environmental and Resource Economists, vol. 32(4), pages 533-550, December.
  11. 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.
  12. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers 1488, Iowa State University, Department of Economics.
  13. Hans-Peter Weikard, 2002. "Diversity Functions and the Value of Biodiversity," Land Economics, University of Wisconsin Press, vol. 78(1), pages 20-27.
  14. 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.
  15. 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.
  16. repec:ags:mareec:48812 is not listed on IDEAS
  17. Weitzman, Martin L, 1993. "What to Preserve? An Application of Diversity Theory to Crane Conservation?," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 157-83, February.
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