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Reference Points and Optimal Management in Stochastic Age-Structured Fisheries Models

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Author Info
José-María Da Rocha () (Universidade de Vigo)
María-José Gutiérrez () (University of the Basque Country)

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Abstract

The purpose of this article is to characterize dynamic optimal harvesting trajectories that maximize discounted utility assuming an age-structured population model, in the same line as Tahvonen (2009). The main novelty of our study is that uses as an age-structured population model the standard stochastic cohort framework applied in Virtual Population Analysis for fish stock assessment. This allows us to compare optimal harvesting in a discounted economic context with standard reference points used by fisheries agencies for long term management plans (e.g. Fmsy). Our main findings are the following. First, optimal steady state is characterized and sufficient conditions that guarantees its existence and uniqueness for the general case of n cohorts are shown. It is also proved that the optimal steady state coincides with the traditional target Fmsy when the utility function to be maximized is the yield and the discount rate is zero. Second, an algorithm to calculate the optimal path that easily drives the resource to the steady state is developed. And third, the algorithm is applied to the Northern Stock of hake. Results show that management plans based exclusively on traditional reference targets as Fmsy may drive fishery economic results far from the optimal.

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Paper provided by University of the Basque Country - Department of Foundations of Economic Analysis II in its series DFAEII Working Papers with number 200902.

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Date of creation: 30 Jul 2009
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Handle: RePEc:ehu:dfaeii:200902

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Postal: Dpto. de Fundamentos del Análisis Económico II, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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Related research
Keywords: Fisheries Management; Age-Structured Models; Reference Point; Fmsy; Fpa; Hake;

Find related papers by JEL classification:
Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Singh, Rajesh & Weninger, Quinn & Doyle, Matthew, 2006. "Fisheries management with stock growth uncertainty and costly capital adjustment," Journal of Environmental Economics and Management, Elsevier, vol. 52(2), pages 582-599, September. [Downloadable!] (restricted)
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  2. Kulmala, Soile & Laukkanen, Marita & Michielsens, Catherine, 2008. "Reconciling economic and biological modeling of migratory fish stocks: Optimal management of the Atlantic salmon fishery in the Baltic Sea," Ecological Economics, Elsevier, vol. 64(4), pages 716-728, February. [Downloadable!] (restricted)
    Other versions:
  3. 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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Nielsen, Max, 2006. "Trade liberalisation, resource sustainability and welfare: The case of East Baltic cod," Ecological Economics, Elsevier, vol. 58(3), pages 650-664, June. [Downloadable!] (restricted)
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