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Harvesting and Conversation in a Predator-Prey System

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  • Jeljer Hoekstra

    (Vrije Universiteit Amsterdam)

  • Jeroen C.J.M. van den Bergh

    ()
    (Vrije Universiteit Amsterdam & Autonomous University Barcelona)

Abstract

Optimal harvesting of prey in a predator–prey ecosystem is studied under the condition that the existence of the predator has value. Predators (birds) and humans (fishers) compete for prey (shellfish). The behavior of the system is studied and conditions for optimal control are deduced. Various optimal harvest rates are identified for particular ecosystem and economic parameters. We discuss optimal harvest rates, focusing on system characteristics that lead to the survival of birds. The approach path towards an optimal regime is shown qualitatively for different types of optimal harvest regimes. This discussion paper has resulted in a publication in the Journal of Economic Dynamics and Control , 2005, 29(6), 1097-1120.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 01-024/3.

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Date of creation: 26 Feb 2001
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Handle: RePEc:dgr:uvatin:20010024

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Web page: http://www.tinbergen.nl

Related research

Keywords: Renewable resources; Optimal harvesting; Conservation; Predator–prey systems;

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References

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  1. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
  2. Wirl Franz, 1995. "The Cyclical Exploitation of Renewable Resource Stocks May Be Optimal," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 252-261, September.
  3. Benhabib, Jess & Nishimura, Kazuo, 1979. "The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth," Journal of Economic Theory, Elsevier, vol. 21(3), pages 421-444, December.
  4. Ragozin, David L. & Brown, Gardner Jr., 1985. "Harvest policies and nonmarket valuation in a predator -- prey system," Journal of Environmental Economics and Management, Elsevier, vol. 12(2), pages 155-168, June.
  5. Tu, Pierre N. V. & Wilman, Elizabeth A., 1992. "A generalized predator- prey model: Uncertainty and management," Journal of Environmental Economics and Management, Elsevier, vol. 23(2), pages 123-138, September.
  6. Olson, Lars J. & Roy, Santanu, 1996. "On Conservation of Renewable Resources with Stock-Dependent Return and Nonconcave Production," Journal of Economic Theory, Elsevier, vol. 70(1), pages 133-157, July.
  7. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
  8. Hannesson, Rognvaldur, 1983. "Optimal harvesting of ecologically interdependent fish species," Journal of Environmental Economics and Management, Elsevier, vol. 10(4), pages 329-345, December.
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Citations

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Cited by:
  1. Lee, Min-Yang A., 2008. "Whale-watching and Herring Fishing: Joint or Independent Production?," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6086, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  2. Angelo Antoci & Simone Borghesi & Gerardo Marletto, 2012. "To drive or not to drive? A simple evolutionary model," ECONOMICS AND POLICY OF ENERGY AND THE ENVIRONMENT, FrancoAngeli Editore, vol. 2012(2), pages 31-47.
  3. Yukichika Kawata, 2007. "An Economic Analysis of the Influence of Different Attitudes Toward Game Animals: Emphasizing the Significance of Large Carnivores," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 6(2), pages 57-78, January.
  4. Sims, Charles & Aadland, David & Finnoff, David, 2010. "A dynamic bioeconomic analysis of mountain pine beetle epidemics," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2407-2419, December.
  5. Quérou, N. & Tomini, A., 2013. "Managing interacting species in unassessed fisheries," Ecological Economics, Elsevier, vol. 93(C), pages 192-201.
  6. Thomas Eichner & Rüdiger Pethig, 2007. "Harvesting in an integrated general equilibrium model," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 37(1), pages 233-252, May.
  7. Melstrom, Richard T. & Horan, Richard D., 2013. "Managing excessive predation in a predator-endangered prey setting," Ecological Economics, Elsevier, vol. 90(C), pages 85-93.
  8. Birgit Bednar-Friedl & Doris Behrens & Michael Getzner, 2012. "Optimal Dynamic Control of Visitors and Endangered Species in a National Park," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 52(1), pages 1-22, May.
  9. Ulf Nielsson, 2007. "Interdependence of Nordic and Baltic Stock Markets," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 6(2), pages 9-28, January.
  10. Jeroen C.J.M. van den Bergh, 2007. "Evolutionary Thinking in Environmental Economics," Tinbergen Institute Discussion Papers 07-018/3, Tinbergen Institute.
  11. Melstrom, Richard T. & Horan, Richard D., 2012. "Managing Excessive Predation in a Predator-Prey Setting: The Case of Piping Plovers," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 123350, Agricultural and Applied Economics Association.
  12. Lineta Ramoniene & Dovydas Brazys, 2007. "Euro Introduction Effects on Individuals’ Economic Decisions: Testing the Presence of Difference Assessment Account among Lithuanian and Latvian Consumers," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 6(2), pages 29-55, January.

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