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Optimal Fishing Policy for Two Species in a Three-Species Predator-Prey Model The case of Capelin, Cod and Juvenile Herring in the Barents Sea

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  • Aanestad, Sigurd

    () (Dept. of Economics and Management, Norwegian College of Fishery Science, University of Tromsø)

  • Sandal, Leif K.

    () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

  • Eide, Arne

    () (Dept. of Economics and Management, Norwegian College of Fishery Science, University of Tromsø)

Abstract

This paper presents a management model for the Barents Sea capelin and cod fisheries including juvenile herring in the biological model as the young herring influences the cod-capelin system. The objective of the study is to balance model-complexity of biology and economics when investigating possible optimal catch strategies given that one aims to maximize economic rent in the fishery. The three species constitute a highly dynamic system, also because prey-predation relations are functions of ages within each stock. A top-down approach is employed and the biological growth equations relate to stock biomass estimates. Economic relations are based on empirical data and previous studies. Optimal fishing strategies are identified by employing a numerical feedback rule for optimal fishing through dynamic programming. The feedback rule suggests that previous TAC (total allowable catch) levels on average have been too large for both capelin and cod over the past 30 years, according to the management objectives assumed in the study. Moreover, presence of some herring in the system is important for the economic yield although the herring fishery is closed. This indicates that a focus only on the capelin-predator role of herring is too narrow, as herring is also an important prey for cod.

Suggested Citation

  • Aanestad, Sigurd & Sandal, Leif K. & Eide, Arne, 2007. "Optimal Fishing Policy for Two Species in a Three-Species Predator-Prey Model The case of Capelin, Cod and Juvenile Herring in the Barents Sea," Discussion Papers 2007/29, Norwegian School of Economics, Department of Business and Management Science.
  • Handle: RePEc:hhs:nhhfms:2007_029
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    File URL: http://hdl.handle.net/11250/163940
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    References listed on IDEAS

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    1. Grune, Lars & Semmler, Willi, 2004. "Using dynamic programming with adaptive grid scheme for optimal control problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2427-2456, December.
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    Cited by:

    1. Poudel, Diwakar & Sandal, Leif K. & Steinshamn, Stein I. & Kvamsdal, Sturla F., 2012. "Do Species Interactions and Stochasticity Matter to Optimal Management of Multispecies Fisheries?," Discussion Papers 2012/1, Norwegian School of Economics, Department of Business and Management Science.
    2. Poudel, Diwakar & Sandal, Leif K., 2014. "Stochastic Optimization for Multispecies Fisheries in the Barents Sea," Discussion Papers 2014/2, Norwegian School of Economics, Department of Business and Management Science.

    More about this item

    Keywords

    Biological growth equations; numerical feedback rule; dynamic programming;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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