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Harvesting and Conversation in a Predator-Prey System

Author

Listed:
  • 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.

Suggested Citation

  • Jeljer Hoekstra & Jeroen C.J.M. van den Bergh, 2001. "Harvesting and Conversation in a Predator-Prey System," Tinbergen Institute Discussion Papers 01-024/3, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20010024
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. 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.
    2. 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).
    3. Edwards, Eric C. & Go, Dong-Hun & Oladi, Reza, 2020. "Predator–prey dynamics in general equilibrium and the role of trade," Resource and Energy Economics, Elsevier, vol. 61(C).
    4. Birgit Bednar-Friedl & Doris Behrens & Michael Getzner, 2012. "Optimal Dynamic Control of Visitors and Endangered Species in a National Park," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(1), pages 1-22, May.
    5. Jeroen Bergh, 2007. "Evolutionary thinking in environmental economics," Journal of Evolutionary Economics, Springer, vol. 17(5), pages 521-549, October.
    6. Thomas Eichner & Rüdiger Pethig, 2007. "Harvesting in an integrated general equilibrium model," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(1), pages 233-252, May.
    7. N. Quérou & A. Tomini, 2018. "Marine Ecosystem Considerations and Second-Best Management," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(2), pages 381-401, June.
    8. 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.
    9. Al-Nassir, Sadiq, 2021. "Dynamic analysis of a harvested fractional-order biological system with its discretization," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. 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.
    11. Otwin Becker & Ulrike Leopold-Wildburger, 2020. "Optimal dynamic control of predator–prey models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 425-440, June.
    12. Quérou, N. & Tomini, A., 2013. "Managing interacting species in unassessed fisheries," Ecological Economics, Elsevier, vol. 93(C), pages 192-201.
    13. 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.
    14. Ang, Tau Keong & Safuan, Hamizah M., 2019. "Harvesting in a toxicated intraguild predator–prey fishery model with variable carrying capacity," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 158-168.
    15. 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.
    16. 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.
    17. Kasperski, Stephen, 2016. "Optimal multispecies harvesting in the presence of a nuisance species," Marine Policy, Elsevier, vol. 64(C), pages 55-63.

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    More about this item

    Keywords

    Renewable resources; Optimal harvesting; Conservation; Predator–prey systems;
    All these keywords.

    JEL classification:

    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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