Open AccessStochastic perturbations and fisheries management
Author(s) -
Loisel Patrice
Publication year - 2019
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/nrm.12233
Subject(s) - stochastic programming , fisheries management , stochastic process , jump , order (exchange) , process (computing) , biomass (ecology) , mathematical optimization , dynamic programming , computer science , mathematics , fishery , environmental science , ecology , economics , statistics , physics , biology , fishing , finance , quantum mechanics , operating system
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 ManagersIn 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.