Discrete Time Optimal Harvesting of Fish Populations with Age Structure

We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to f...

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Bibliographic Details
Published in:Letters in Biomathematics
Main Authors: Wandi Dine, Suzanne Lenhart, Horst Behncke
Format: Article in Journal/Newspaper
Language:English
Published: Intercollegiate Biomathematics Alliance 2014
Subjects:
optimal harvesting
discrete model
age structure
Biology (General)
QH301-705.5
Mathematics
QA1-939
atlantic cod
Online Access:https://doi.org/10.1080/23737867.2014.11414480
https://doaj.org/article/1f178d2a3e7d46ffa372539b1da25b52
Description
Summary:We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to find the optimal net size. Using the extension of Pontryagin’s Maximum Principle to discrete systems, we are able to derive the necessary conditions and the characterizations for the optimal harvesting strategies. Numerical simulations for both Beverton-Holt and Ricker recruitment functions are provided.

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