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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.

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Bibliographic Info

Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2001 with number 126.

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Date of creation: 01 Apr 2001
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Handle: RePEc:sce:scecf1:126

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Keywords: non-convexities; adjustment costs; Hopf bifurcation; Renewable resources;

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References

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  1. 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.
  2. Lewis, Tracy R & Schmalensee, Richard, 1977. "Nonconvexity and Optimal Exhaustion of Renewable Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 535-52, October.
  3. Liski, Matti, 2002. "Taxing average emissions to overcome the shutdown problem," Journal of Public Economics, Elsevier, vol. 85(3), pages 363-384, September.
  4. Jorgensen, S. & Kort, P.M., 1997. "Optimal investment and finance in renewable resource harvesting," Open Access publications from Tilburg University urn:nbn:nl:ui:12-73939, Tilburg University.
  5. 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.
  6. Bjorndal, Trond, 1987. " Production Economics and Optimal Stock Size in a North Atlantic Fishery," Scandinavian Journal of Economics, Wiley Blackwell, vol. 89(2), pages 145-64.
  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. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521337465, October.
  9. 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 677-91, November.
  10. 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.
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Cited by:
  1. 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.
  2. Katrin Erdlenbruch & Alain Jean-Marie & Michel Moreaux & Mabel Tidball, 2010. "Optimality of Impulse Harvesting Policies," Working Papers hal-00864187, HAL.
  3. 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.
  4. Halkos, George & Papageorgiou, George, 2013. "Dynamic modeling of pulse fishing: A game theoretic approach," MPRA Paper 47871, University Library of Munich, Germany.
  5. Sarkar, Sudipto, 2009. "Optimal fishery harvesting rules under uncertainty," Resource and Energy Economics, Elsevier, vol. 31(4), pages 272-286, November.
  6. Ralph Winkler, 2008. "Optimal compliance with emission constraints: dynamic characteristics and the choice of technique," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 39(4), pages 411-432, April.
  7. 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.
  8. 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, Dresden University of Technology, Faculty of Business and Economics, Department of Economics.

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