IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/20010024.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/01024.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Jess Benhabib & Kazuo Nishimura, 2012. "The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 51-73, Springer.
    3. 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.
    4. 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.
    5. Wolfgang Ströbele & Holger Wacker, 1995. "The economics of harvesting predator-prey systems," Journal of Economics, Springer, vol. 61(1), pages 65-81, February.
    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. Hannesson, Rognvaldur, 1983. "Optimal harvesting of ecologically interdependent fish species," Journal of Environmental Economics and Management, Elsevier, vol. 10(4), pages 329-345, December.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. David Finnoff & John Tschirhart, 2003. "Protecting an Endangered Species While Harvesting Its Prey in a General Equilibrium Ecosystem Model," Land Economics, University of Wisconsin Press, vol. 79(2), pages 160-180.
    2. Krysiak, Frank C. & Krysiak, Daniela, 2002. "Aggregation of Dynamic Systems and the Existence of a Regeneration Function," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 517-539, November.
    3. Kasperski, Stephen, 2016. "Optimal multispecies harvesting in the presence of a nuisance species," Marine Policy, Elsevier, vol. 64(C), pages 55-63.
    4. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
    5. 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.
    6. Wirl, Franz, 2002. "Stability and limit cycles in competitive equilibria subject to adjustment costs and dynamic spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 26(3), pages 375-398, March.
    7. Richard Melstrom & Richard Horan, 2014. "Interspecies Management and Land Use Strategies to Protect Endangered Species," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 58(2), pages 199-218, June.
    8. Quérou, N. & Tomini, A., 2013. "Managing interacting species in unassessed fisheries," Ecological Economics, Elsevier, vol. 93(C), pages 192-201.
    9. Tibor Neugebauer, 2005. "Bioeconomics Of Sustainable Harvest Of Competing Species: A Comment," Others 0503012, University Library of Munich, Germany.
    10. George Halkos & George Papageorgiou, 2013. "Dynamic modeling of pulse fishing: A game theoretic approach," DEOS Working Papers 1324, Athens University of Economics and Business.
    11. Yacov Tsur & Amos Zemel, 2017. "Steady state properties of multi-state economic models," Canadian Journal of Economics, Canadian Economics Association, vol. 50(2), pages 506-521, May.
    12. Finnoff, David & Tschirhart, John, 2003. "Harvesting in an eight-species ecosystem," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 589-611, May.
    13. John Tschirhart, 2012. "Biology as a Source of Non-convexities in Ecological Production Functions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(2), pages 189-213, February.
    14. Bella, Giovanni, 2007. "A Bug's Life: Competition Among Species Towards the Environment," Natural Resources Management Working Papers 10269, Fondazione Eni Enrico Mattei (FEEM).
    15. Eppink, Florian V. & van den Bergh, Jeroen C.J.M., 2007. "Ecological theories and indicators in economic models of biodiversity loss and conservation: A critical review," Ecological Economics, Elsevier, vol. 61(2-3), pages 284-293, March.
    16. William A. Barnett & Yijun He & ., 1999. "Stabilization Policy as Bifurcation Selection: Would Keynesian Policy Work if the World Really were Keynesian?," Macroeconomics 9906008, University Library of Munich, Germany.
    17. Stefano Bosi & David Desmarchelier & Thai Ha‐Huy, 2022. "Wheels and cycles: Suboptimality and volatility of corrupted economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 440-460, December.
    18. 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.
    19. Halkos, George & Papageorgiou, George, 2017. "Public debt, pollution and environmental taxes: Nash and Stackelberg equilibria," MPRA Paper 81982, University Library of Munich, Germany.
    20. Wacker, Holger, 1999. "Optimal harvesting of mutualistic ecological systems," Resource and Energy Economics, Elsevier, vol. 21(1), pages 89-102, January.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tin:wpaper:20010024. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.