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Analytical and numerical investigation of optimal harvest with a continuously age-structured model

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  • Golubtsov, Peter
  • Steinshamn, Stein Ivar

Abstract

An age-structured bioeconomic model, which is completely continuous in age and time, is developed in order to compare with traditional discrete models. Both types have advantages and disadvantages. The continuous framework complements discrete models as it allows for deeper and more transparent analytical study and leads to analytical results that would be difficult to achieve within a discrete framework. To make the model realistic, a nonlinear recruitment function is introduced and steady state solutions and constant-effort optimal fishing are studied analytically. In addition, the framework has been used for numerical analysis. Simulations are used to investigate how optimal harvesting patterns vary with parameter values.

Suggested Citation

  • Golubtsov, Peter & Steinshamn, Stein Ivar, 2019. "Analytical and numerical investigation of optimal harvest with a continuously age-structured model," Ecological Modelling, Elsevier, vol. 392(C), pages 67-81.
    • Handle: RePEc:eee:ecomod:v:392:y:2019:i:c:p:67-81
    DOI: 10.1016/j.ecolmodel.2018.11.010
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    References listed on IDEAS

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    1. Anders Skonhoft & Niels Vestergaard & Martin Quaas, 2012. "Optimal Harvest in an Age Structured Model with Different Fishing Selectivity," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(4), pages 525-544, April.
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    9. Ragnar Arnason & Leif K. Sandal & Stein Ivar Steinshamn & Niels Vestergaard, 2004. "Optimal Feedback Controls: Comparative Evaluation of the Cod Fisheries in Denmark, Iceland, and Norway," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 531-542.
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    Cited by:

    1. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," AMSE Working Papers 1902, Aix-Marseille School of Economics, France.

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