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A dynamic model of biodiversity preservation

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  • LI, CHUAN-ZHONG
  • LÖFGREN, KARL-GUSTAF

Abstract

This paper attempts to develop a dynamic model of optimal biodiversity preservation in a stylized ecosystem. Species richness (number of species) is used as a measure of diversity and its interactions with the resource stock, consumptive extraction and preservation efforts are explored using a two-state variable optimal control model. The analysis extends to the implications of a random threshold in species richness and the relationship between ecological and economic stability conditions. Dynamic paths and equilibrium characteristics are illustrated using numerical techniques.

Suggested Citation

  • Li, Chuan-Zhong & Lã–Fgren, Karl-Gustaf, 1998. "A dynamic model of biodiversity preservation," Environment and Development Economics, Cambridge University Press, vol. 3(2), pages 157-172, May.
    • Handle: RePEc:cup:endeec:v:3:y:1998:i:02:p:157-172_00
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    Cited by:

    1. C. Martijn van der Heide & Jeroen C.J.M. van den Bergh & Ekko C. van Ierland, 1999. "Globalisation and Nature Policy: An Integrated Environmental-Economic Framework," Tinbergen Institute Discussion Papers 99-090/3, Tinbergen Institute.
    2. 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).
    3. Chuan-Zhong Li & Karl-Gustaf Löfgren & Martin Weitzman, 2001. "Harvesting versus Biodiversity: An Occam's Razor Version," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 18(4), pages 355-366, April.
    4. Francisco Cabo & Guiomar Martín-Herrán, 2006. "North–South transfers vs biodiversity conservation: a trade differential game," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 40(2), pages 249-278, June.
    5. Gerber, Nicolas, 2011. "Biodiversity measures based on species-level dissimilarities: A methodology for assessment," Ecological Economics, Elsevier, vol. 70(12), pages 2275-2281.
    6. Antoci, Angelo & Borghesi, Simone & Russu, Paolo, 2004. "Biodiversity and economic growth: stabilization versus preservation of the ecological dynamics," MPRA Paper 13666, University Library of Munich, Germany.
    7. Russu, Paolo, 2012. "On the Optimality of Limit Cycles in Nature Based-Tourism," MPRA Paper 36599, University Library of Munich, Germany.
    8. Cruz-Rivera, Erica & Vasilieva, Olga, 2013. "Optimal policies aimed at stabilization of populations with logistic growth under human intervention," Theoretical Population Biology, Elsevier, vol. 83(C), pages 123-135.
    9. Bertram, Christine, 2010. "Integrating biodiversity indices into a multi-species optimal control model," Kiel Working Papers 1662, Kiel Institute for the World Economy (IfW Kiel).

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