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A bridge between continuous and discrete-time bioeconomic models: Seasonality in fisheries

Author

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  • Kvamsdal, Sturla F.

    (SNF – Centre for Applied Research)

  • Maroto, José M.

    (Dept. of Statistics and Operations Research II, Complutense University of Madrid)

  • Morán, Manuel

    (Dept. of Foundation of Economic Analysis I, Complutense University of Madrid)

  • Sandal, Leif K.

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

Abstract

We develop a discretization method for continuous-time bioeconomic models. Based on this method, we develop a discrete-time bioeconomic model to analyze seasonality in fisheries. The discretization method consists of three steps: first, we estimate a proper growth function for the continuous-time model with the ensemble Kalman Filter. Second, we use the Runge-Kutta method to discretize the growth function. Third, we use the Bellman approach to analyze optimal management of seasonal fisheries in a discrete-time setting. We analyze both the case of quarterly harvest and the case of monthly harvest, and we compare these cases with the case of annual harvest. We find that seasonal harvesting is a win-win optimal solution with higher harvest, higher optimal steady state equilibrium, and higher economic value than obtained in the case of annual harvesting. We also demonstrate that the discretization method overcomes the errors and preserves the strengths of both continuous and discrete-time bioeconomic models.

Suggested Citation

  • Kvamsdal, Sturla F. & Maroto, José M. & Morán, Manuel & Sandal, Leif K., 2016. "A bridge between continuous and discrete-time bioeconomic models: Seasonality in fisheries," Discussion Papers 2016/20, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2016_020
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    Cited by:

    1. Sturla F. Kvamsdal, 2022. "Optimal Management of a Renewable Resource Under Multiple Regimes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 81(3), pages 481-499, March.
    2. Ni, Yuanming & Sandal, Leif Kristoffer, 2019. "Seasonality matters: A multi-season, multi-state dynamic optimization in fisheries," European Journal of Operational Research, Elsevier, vol. 275(2), pages 648-658.
    3. Leif K Sandal & Sturla F Kvamsdal & José M Maroto & Manuel Morán, 2021. "A contraction approach to dynamic optimization problems," PLOS ONE, Public Library of Science, vol. 16(11), pages 1-14, November.
    4. Kvamsdal, Sturla F. & Maroto, José M. & Morán, Manuel & Sandal, Leif K., 2020. "Bioeconomic modeling of seasonal fisheries," European Journal of Operational Research, Elsevier, vol. 281(2), pages 332-340.

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    More about this item

    Keywords

    OR in natural resources; bioeconomic modeling; seasonal fisheries; discrete-time optimization;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics

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