IDEAS home Printed from https://ideas.repec.org/p/umn/wpaper/0807.html
   My bibliography  Save this paper

Stochastic Dominance, Entropy and Biodiversity Management

Author

Listed:
  • Catherine M. Chambers

    (University of Central Missouri)

  • Paul E. Chambers

    (University of Central Missouri)

  • John R. Crooker

    (University of Central Missouri)

  • John C. Whitehead

    (Appalachian State University)

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.

Suggested Citation

  • Catherine M. Chambers & Paul E. Chambers & John R. Crooker & John C. Whitehead, 2008. "Stochastic Dominance, Entropy and Biodiversity Management," Working Papers 0807, University of Central Missouri, Department of Economics & Finance, revised May 2008.
    • Handle: RePEc:umn:wpaper:0807
    as

    Download full text from publisher

    File URL: http://faculty.ucmo.edu/econfinpapers/wpaper/wp0807.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
    3. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 363-405.
    4. 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.
    5. 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.
    6. Simpson, R. David, 2002. "Definitions of Biodiversity and Measures of Its Value," Discussion Papers 10551, Resources for the Future.
    7. Hans-Peter Weikard, 2002. "Diversity Functions and the Value of Biodiversity," Land Economics, University of Wisconsin Press, vol. 78(1), pages 20-27.
    8. Simpson, R. David, 2002. "Definitions of Biodiversity and Measures of Its Value," RFF Working Paper Series dp-02-62, Resources for the Future.
    9. 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.
    10. 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.
    11. 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.
    12. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    13. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    14. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    15. 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.
    16. 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.
    17. Martin L. Weitzman, 1993. "What to Preserve? An Application of Diversity Theory to Crane Conservation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 157-183.
    18. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Maarten Punt & Hans-Peter Weikard & Ekko Ierland & Jan Stel, 2012. "Large Scale Marine Protected Areas for Biodiversity Conservation Along a Linear Gradient: Cooperation, Strategic Behavior or Conservation Autarky?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 53(2), pages 203-228, October.
    2. Polasky, Stephen & Costello, Christopher & Solow, Andrew, 2005. "The Economics of Biodiversity," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 29, pages 1517-1560, Elsevier.
    3. William A. Brock & Anastasios Xepapadeas, 2003. "Valuing Biodiversity from an Economic Perspective: A Unified Economic, Ecological, and Genetic Approach," American Economic Review, American Economic Association, vol. 93(5), pages 1597-1614, December.
    4. Eppink, Florian V. & van den Bergh, Jeroen C.J.M., 2007. "Ecological theories and indicators in economic models of biodiversity loss and conservation: A critical review," Ecological Economics, Elsevier, vol. 61(2-3), pages 284-293, March.
    5. Perry, Neil, 2010. "The ecological importance of species and the Noah's Ark problem," Ecological Economics, Elsevier, vol. 69(3), pages 478-485, January.
    6. Swallow, Stephen K., 1996. "Economic Issues in Ecosystem Management: An Introduction and Overview," Agricultural and Resource Economics Review, Cambridge University Press, vol. 25(2), pages 83-100, October.
    7. Thomas Eichner & John Tschirhart, 2007. "Efficient ecosystem services and naturalness in an ecological/economic model," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(4), pages 733-755, August.
    8. Simianer, H. & Marti, S. B. & Gibson, J. & Hanotte, O. & Rege, J. E. O., 2003. "An approach to the optimal allocation of conservation funds to minimize loss of genetic diversity between livestock breeds," Ecological Economics, Elsevier, vol. 45(3), pages 377-392, July.
    9. List, John A & Bulte, Erwin H & Shogren, Jason F, 2002. ""Beggar Thy Neighbor": Testing for Free Riding in State-Level Endangered Species Expenditures," Public Choice, Springer, vol. 111(3-4), pages 303-315, June.
    10. Juutinen, Artti, 2008. "Old-growth boreal forests: Worth protecting for biodiversity?," Journal of Forest Economics, Elsevier, vol. 14(4), pages 242-267, November.
    11. Baumgartner, Stefan & Becker, Christian & Faber, Malte & Manstetten, Reiner, 2006. "Relative and absolute scarcity of nature. Assessing the roles of economics and ecology for biodiversity conservation," Ecological Economics, Elsevier, vol. 59(4), pages 487-498, October.
    12. Kohn, Robert E., 1999. "Thresholds and complementarities in an economic model of preserving and conserving biodiversity," Socio-Economic Planning Sciences, Elsevier, vol. 33(2), pages 151-172, June.
    13. Gerber, Nicolas, 2011. "Biodiversity measures based on species-level dissimilarities: A methodology for assessment," Ecological Economics, Elsevier, vol. 70(12), pages 2275-2281.
    14. Montgomery, Claire A. & Pollak, Robert A. & Freemark, Kathryn & White, Denis, 1999. "Pricing Biodiversity," Journal of Environmental Economics and Management, Elsevier, vol. 38(1), pages 1-19, July.
    15. Nehring, Klaus & Puppe, Clemens, 2004. "Modelling phylogenetic diversity," Resource and Energy Economics, Elsevier, vol. 26(2), pages 205-235, June.
    16. Martinet, Vincent & Blanchard, Fabian, 2009. "Fishery externalities and biodiversity: Trade-offs between the viability of shrimp trawling and the conservation of Frigatebirds in French Guiana," Ecological Economics, Elsevier, vol. 68(12), pages 2960-2968, October.
    17. Gerber, Nicolas, 2009. "Measuring Biodiversity – an axiomatic evaluation of measures based on genetic data," Discussion Papers 51305, University of Bonn, Center for Development Research (ZEF).
    18. Andrew Metrick & Martin L. Weitzman, 1998. "Conflicts and Choices in Biodiversity Preservation," Journal of Economic Perspectives, American Economic Association, vol. 12(3), pages 21-34, Summer.
    19. Samuel, Aurelia F. & Drucker, Adam G. & Andersen, Sven B. & Simianer, Henner & van Zonneveld, Maarten, 2013. "Development of a cost-effective diversity-maximising decision-support tool for in situ crop genetic resources conservation: The case of cacao," Ecological Economics, Elsevier, vol. 96(C), pages 155-164.
    20. Simpson, R. David & Craft, Amy, 1996. "The Social Value of Using Biodiversity in New Pharmaceutical Product Research," RFF Working Paper Series dp-96-33, Resources for the Future.

    More about this item

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:umn:wpaper:0807. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Paul Chambers (email available below). General contact details of provider: https://edirc.repec.org/data/decmsus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.