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Increasing returns and cycles in fishing

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  • M. Liski, P.M. Kort, A.J. Novak

Abstract

We consider optimal fishery management under the assumption of increasing returns that is supported by previous empirical evidence. We improve the tractability and realism of the previous approaches by introducing flow adjustment costs on changes in harvest rate. Our framework is the first to provide a link between stable limit cycle policies and increasing returns in harvesting. The type of the harvest policy depends on flow adjustment costs: for relatively costly adjustments the usual steady state harvest policy is conceivable, whereas for relatively cheap adjustments the harvest policy is cyclical. We also show a connection between chattering control policies and limit cycles, which helps us to develop a clear economic meaning for cyclical harvesting.

Suggested Citation

  • M. Liski, P.M. Kort, A.J. Novak, 2001. "Increasing returns and cycles in fishing," Computing in Economics and Finance 2001 126, Society for Computational Economics.
  • Handle: RePEc:sce:scecf1:126
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    Cited by:

    1. Katrin Erdlenbruch & Alain Jean-Marie & Michel Moreaux & Mabel Tidball, 2013. "Optimality of impulse harvesting policies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 429-459, March.
    2. Moberg, Emily A. & Pinsky, Malin L. & Fenichel, Eli P., 2019. "Capital Investment for Optimal Exploitation of Renewable Resource Stocks in the Age of Global Change," Ecological Economics, Elsevier, vol. 165(C), pages 1-1.
    3. Fenichel, Eli P. & Horan, Richard D. & Bence, James R., 2010. "Indirect management of invasive species through bio-controls: A bioeconomic model of salmon and alewife in Lake Michigan," Resource and Energy Economics, Elsevier, vol. 32(4), pages 500-518, November.
    4. Thorsten Upmann & Stefan Behringer, 2017. "Harvesting a Remote Renewable Resource," CESifo Working Paper Series 6724, CESifo.
    5. Melstrom, Richard T., 2014. "Optimal Management of a Fishery with Bycatch," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 168316, Agricultural and Applied Economics Association.
    6. 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.
    7. José-María Da-Rocha & Linda Nøstbakken & Marcos Pérez, 2014. "Pulse Fishing and Stock Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(2), pages 257-274, October.
    8. Naevdal, Eric & Olaussen, Jon Olaf & Skonhoft, Anders, 2012. "A bioeconomic model of trophy hunting," Ecological Economics, Elsevier, vol. 73(C), pages 194-205.
    9. Heinzel, Christoph & Winkler, Ralph, 2006. "Gradual versus structural technological change in the transition to a low-emission energy industry: How time-to-build and differing social and individual discount rates influence environmental and tec," Dresden Discussion Paper Series in Economics 09/06, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    10. Alain Jean-Marie & Mabel Tidball & Michel Moreaux & Katrin Erdlenbruch, 2009. "The Renewable Resource Management Nexus: Impulse versus Continuous Harvesting Policies," Working Papers 09-03, LAMETA, Universtiy of Montpellier, revised Mar 2009.
    11. Mette Termansen, 2007. "Economies of scale and the optimality of rotational dynamics in forestry," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(4), pages 643-659, August.
    12. Ralph Winkler, 2008. "Optimal compliance with emission constraints: dynamic characteristics and the choice of technique," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(4), pages 411-432, April.
    13. Melstrom, Richard T., 2015. "Cyclical harvesting in fisheries with bycatch," Resource and Energy Economics, Elsevier, vol. 42(C), pages 1-15.
    14. George Halkos & George Papageorgiou, 2013. "Dynamic modeling of pulse fishing: A game theoretic approach," DEOS Working Papers 1324, Athens University of Economics and Business.
    15. Sarkar, Sudipto, 2009. "Optimal fishery harvesting rules under uncertainty," Resource and Energy Economics, Elsevier, vol. 31(4), pages 272-286, November.

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    More about this item

    Keywords

    non-convexities; adjustment costs; Hopf bifurcation; Renewable resources;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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