IDEAS home Printed from https://ideas.repec.org/p/sce/scecf1/126.html
   My bibliography  Save this paper

Increasing returns and cycles in fishing

Author

Listed:
  • 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
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Tracy R. Lewis & Richard Schmalensee, 1979. "Non-convexity and Optimal Harvesting Strategies for Renewable Resources," Canadian Journal of Economics, Canadian Economics Association, vol. 12(4), pages 677-691, November.
    2. Rognvaldur Hannesson, 1975. "Fishery Dynamics: A North Atlantic Cod Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 151-173, May.
    3. Jorgensen, Steffen & Kort, Peter M., 1997. "Optimal investment and finance in renewable resource harvesting," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 603-630.
    4. Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
    5. Jorgensen, Steffen & Kort, Peter M., 1993. "Optimal dynamic investment policies under concave-convex adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 153-180.
    6. Russell Davidson & Richard Harris, 1981. "Non-Convexities in Continuous Time Investment Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(2), pages 235-253.
    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. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    9. Feichtinger, Gustav & Novak, Andreas & Wirl, Franz, 1994. "Limit cycles in intertemporal adjustment models : Theory and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 18(2), pages 353-380, March.
    10. Liski, Matti, 2002. "Taxing average emissions to overcome the shutdown problem," Journal of Public Economics, Elsevier, vol. 85(3), pages 363-384, September.
    11. Clark, Colin W & Clarke, Frank H & Munro, Gordon R, 1979. "The Optimal Exploitation of Renewable Resource Stocks: Problems of Irreversible Investment," Econometrica, Econometric Society, vol. 47(1), pages 25-47, January.
    12. Trond Bjørndal & Jon M. Conrad & Kjell G. Salvanes, 1993. "Stock Size, Harvesting Costs, and the Potential for Extinction: The Case of Sealing," Land Economics, University of Wisconsin Press, vol. 69(2), pages 156-167.
    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. 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.

    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. 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.
    2. 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.
    3. Halkos, George & Papageorgiou, George, 2013. "Dynamic modeling of pulse fishing: A game theoretic approach," MPRA Paper 47871, University Library of Munich, Germany.
    4. Maroto, Jose M. & Moran, Manuel, 2008. "Increasing marginal returns and the danger of collapse of commercially valuable fish stocks," Ecological Economics, Elsevier, vol. 68(1-2), pages 422-428, December.
    5. Haunschmied, Josef L. & Kort, Peter M. & Hartl, Richard F. & Feichtinger, Gustav, 2003. "A DNS-curve in a two-state capital accumulation model: a numerical analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 701-716, February.
    6. Wirl, Franz, 1999. "Complex, dynamic environmental policies," Resource and Energy Economics, Elsevier, vol. 21(1), pages 19-41, January.
    7. Laxminarayan, Ramanan, 2001. "Bacterial Resistance and the Optimal Use of Antibiotics," Discussion Papers 10479, Resources for the Future.
    8. Dockner, Engelbert J. & Hartl, Richard F. & Kort, Peter M., 2019. "Dynamic capital structure choice and investment timing," Journal of Economic Dynamics and Control, Elsevier, vol. 102(C), pages 70-80.
    9. Laxminarayan, Ramanan, 2001. "Bacterial Resistance and the Optimal Use of Antibiotics," RFF Working Paper Series dp-01-23, Resources for the Future.
    10. Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
    11. 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.
    12. 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.
    13. Richard Hartl & Peter Kort, 2010. "Delay in finite time capital accumulation," 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. 18(4), pages 465-475, December.
    14. Melstrom, Richard T., 2015. "Cyclical harvesting in fisheries with bycatch," Resource and Energy Economics, Elsevier, vol. 42(C), pages 1-15.
    15. José-María Da Rocha & María-Jose Gutiérrez & Luis Antelo, 2013. "Selectivity, Pulse Fishing and Endogenous Lifespan in Beverton-Holt Models," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(1), pages 139-154, January.
    16. Eisenack, K. & Welsch, H. & Kropp, J.P., 2006. "A qualitative dynamical modelling approach to capital accumulation in unregulated fisheries," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2613-2636, December.
    17. Halkos, George & Papageorgiou, George, 2017. "Public debt, corruption and tax evasion: Nash and Stackelberg equilibria," MPRA Paper 77519, University Library of Munich, Germany.
    18. Halkos, George E. & Papageorgiou, George J., 2018. "Pollution, environmental taxes and public debt: A game theory setup," Economic Analysis and Policy, Elsevier, vol. 58(C), pages 111-120.
    19. Louis-Pascal Mahé & Carole Ropars, 2001. "L'exploitation régulée d'une ressource renouvelable : inefficacité d'un rationnement factoriel et efficacité des quotas individuels transférables," Économie et Prévision, Programme National Persée, vol. 148(2), pages 141-156.
    20. 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.

    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

    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:sce:scecf1:126. 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: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/sceeeea.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.