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Economics of harvesting age-structured fish populations

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  • Tahvonen, Olli

Abstract

A generic age-structured model is developed to derive analytical results on optimal harvesting. Given two age classes, knife-edge selectivity, and no stock-dependent harvesting cost, the steady state is a unique saddle point. Adding harvesting cost does not alter the uniqueness, given that the utility is linear. Under specific conditions such as nonselective gear, optimal harvesting is proved to be a stationary cycle that represents pulse fishing. Optimal steady states are different if age-structured information is ignored and optimization is based on traditional biomass variables. This implies that the existence of optimal sustainable harvesting depends on age-structured information. Given a specific set of conditions such as low interest rate and knife-edge selectivity, optimal harvesting converges toward a unique saddle point independently of the number of age classes.

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  • Tahvonen, Olli, 2009. "Economics of harvesting age-structured fish populations," Journal of Environmental Economics and Management, Elsevier, vol. 58(3), pages 281-299, November.
    • Handle: RePEc:eee:jeeman:v:58:y:2009:i:3:p:281-299
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    1. Smith, Martin D. & Zhang, Junjie & Coleman, Felicia C., 2008. "Econometric modeling of fisheries with complex life histories: Avoiding biological management failures," Journal of Environmental Economics and Management, Elsevier, vol. 55(3), pages 265-280, May.
    2. Tapan Mitra & Henry Y. Wan, 1985. "Some Theoretical Results on the Economics of Forestry," Review of Economic Studies, Oxford University Press, vol. 52(2), pages 263-282.
    3. Mercenier, Jean & Michel, Philippe, 1994. "Discrete-Time Finite Horizon Appromixation of Infinite Horizon Optimization Problems with Steady-State Invariance," Econometrica, Econometric Society, vol. 62(3), pages 635-656, May.
    4. Wilen, James E., 1985. "Bioeconomics of renewable resource use," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 1, chapter 2, pages 61-124, Elsevier.
    5. Salo, Seppo & Tahvonen, Olli, 2002. "On Equilibrium Cycles and Normal Forests in Optimal Harvesting of Tree Vintages," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 1-22, July.
    6. Massey, D. Matthew & Newbold, Stephen C. & Gentner, Brad, 2006. "Valuing water quality changes using a bioeconomic model of a coastal recreational fishery," Journal of Environmental Economics and Management, Elsevier, vol. 52(1), pages 482-500, July.
    7. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    8. Rognvaldur Hannesson, 1975. "Fishery Dynamics: A North Atlantic Cod Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 151-173, May.
    9. Olson, Lars J. & Roy, Santanu, 2000. "Dynamic Efficiency of Conservation of Renewable Resources under Uncertainty," Journal of Economic Theory, Elsevier, vol. 95(2), pages 186-214, December.
    10. Mitra, Tapan & Wan, Henry Jr., 1986. "On the faustmann solution to the forest management problem," Journal of Economic Theory, Elsevier, vol. 40(2), pages 229-249, December.
    11. 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.
    12. Plourde, C G, 1970. "A Simple Model of Replenishable Natural Resource Exploitation," American Economic Review, American Economic Association, vol. 60(3), pages 518-522, June.
    13. Reed, William J., 1979. "Optimal escapement levels in stochastic and deterministic harvesting models," Journal of Environmental Economics and Management, Elsevier, vol. 6(4), pages 350-363, December.
    14. Deacon, Robert T., 1989. "An empirical model of fishery dynamics," Journal of Environmental Economics and Management, Elsevier, vol. 16(2), pages 167-183, March.
    15. Townsend, Ralph E., 1986. "A critique of models of the American lobster fishery," Journal of Environmental Economics and Management, Elsevier, vol. 13(3), pages 277-291, September.
    16. Ussif Sumaila, 1997. "Cooperative and Non-Cooperative Exploitation of the Arcto-Norwegian Cod Stock," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 10(2), pages 147-165, September.
    17. Salo, Seppo & Tahvonen, Olli, 2003. "On the economics of forest vintages," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1411-1435, June.
    18. Smith, Martin D. & Wilen, James E., 2003. "Economic impacts of marine reserves: the importance of spatial behavior," Journal of Environmental Economics and Management, Elsevier, vol. 46(2), pages 183-206, September.
    19. Wilen, James E., 2000. "Renewable Resource Economists and Policy: What Differences Have We Made?," Journal of Environmental Economics and Management, Elsevier, vol. 39(3), pages 306-327, May.
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