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Harvesting and conservation in a predator-prey system

  • Hoekstra, Jeljer
  • van den Bergh, Jeroen C.J.M.

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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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 29 (2005)
Issue (Month): 6 (June)
Pages: 1097-1120

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Handle: RePEc:eee:dyncon:v:29:y:2005:i:6:p:1097-1120
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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  1. 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.
  2. Wolfgang Ströbele & Holger Wacker, 1995. "The economics of harvesting predator-prey systems," Journal of Economics, Springer, vol. 61(1), pages 65-81, February.
  3. Hannesson, Rognvaldur, 1983. "Optimal harvesting of ecologically interdependent fish species," Journal of Environmental Economics and Management, Elsevier, vol. 10(4), pages 329-345, December.
  4. 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.
  5. Olson, Lars J. & Roy, Santanu, 1994. "On Conservation of Renewable Resources with Stock-Dependent Return and Non-Concave Production," Working Papers 197800, University of Maryland, Department of Agricultural and Resource Economics.
  6. 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.
  7. 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.
  8. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
  9. 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.
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