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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 & Löfgren, 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. 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.
    2. 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).
    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. 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.
    8. 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).
    9. Russu, Paolo, 2012. "On the Optimality of Limit Cycles in Nature Based-Tourism," MPRA Paper 36599, University Library of Munich, Germany.

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