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Optimal fishing mortalities with age-structured bioeconomic model - a case of NEA mackerel

Author

Listed:
  • Ni, Yuanming

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

  • Steinshamn, Stein I.

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

Abstract
The effects of random environmental impacts on optimal exploitation of a fish population are investigated using both optimization and simulation, based on a discrete-time age-structured bioeconomic model. The optimization problem is solved as a non-linear programming problem in GAMS. First, a basic model structure and 6 different scenarios, dealing with two interactions between fish and environment, are introduced. Based on the simplest scenario, eight different parameter combinations are tested. Then the optimization problem is solved for each of the 6 scenarios for a period of 100 years in order to gain long term insights. The main finding is that higher volatility from the environment leads to higher net profits but together with a lower probability of actually hitting the mean values. Simulations are conducted with different fixed fishing mortality levels under 6 scenarios. It seems that a constant fishing mortality around 0.06 is optimal. In the end, a comparison is made between historical and optimal harvest for a period of 40 years. It turns out that in more than 70% of the time, the optimal exploitation offered by our optimization model dominates the historical one, leading to 43% higher net profit and 34% lower fishing cost on average.

Suggested Citation

  • Ni, Yuanming & Steinshamn, Stein I., 2016. "Optimal fishing mortalities with age-structured bioeconomic model - a case of NEA mackerel," Discussion Papers 2016/9, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2016_009
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    File URL: http://hdl.handle.net/11250/2391731
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    References listed on IDEAS

    as
    1. Rognvaldur Hannesson, 1975. "Fishery Dynamics: A North Atlantic Cod Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 8(2), pages 151-173, May.
    2. Tahvonen, Olli, 2009. "Economics of harvesting age-structured fish populations," Journal of Environmental Economics and Management, Elsevier, vol. 58(3), pages 281-299, November.
    3. 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.
    4. Nicolau, João, 2002. "Stationary Processes That Look Like Random Walks— The Bounded Random Walk Process In Discrete And Continuous Time," Econometric Theory, Cambridge University Press, vol. 18(1), pages 99-118, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Random environmental impacts; optimal exploitation; non-linear programming;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q00 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - General
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • Q50 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - General

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