Volume 32, Issue 4 e12233
RESEARCH ARTICLE
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Stochastic perturbations and fisheries management

Patrice Loisel

Corresponding Author

Patrice Loisel

MISTEA, INRA, SupAgro, Univ Montpellier, Montpellier, France

Correspondence Patrice Loisel, MISTEA, INRA, Montpellier SupAgro, 2 place Viala, 34060 Montpellier, France.

Email: patrice.loisel@inra.fr

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First published: 18 September 2019

Abstract

As most natural resources, fisheries are affected by random disturbances. The evolution of such resources may be modeled by a succession of deterministic process and random perturbations on biomass and/or growth rate at random times. We analyze the impact of the characteristics of the perturbations on the management of natural resources. We highlight the importance of using a dynamic programming approach to completely characterize the optimal solution, we also present the properties of the controlled model and give the behavior of the optimal harvest for specific jump kernels.

Recommendations for Resource Managers

  • In the context of updated biomass, for a centrally disturbed biomass and sufficiently high effort, the optimal harvest increases with biomass jump rate.

  • In the context of jointly updated biomass and growth rate, for a centrally disturbed biomass and sufficiently high effort, the optimal harvest increases with the biomass jump rate.

  • In the context of jointly updated biomass and growth rate, for sufficiently high effort the optimal harvest decreases with the growth jump rate.

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