Braack, Malte, Quaas, Martin, Tews, Benjamin and Vexler, Boris (2018) Optimization of Fishing Strategies in Space and Time as a Non-convex Optimal Control Problem. Journal of Optimization Theory and Applications, 178 . DOI 10.1007/s10957-018-1304-7.

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Abstract

The behavior of a fishing fleet and its impact onto the biomass of fish can be described by a nonlinear parabolic diffusion–reaction equation. Looking for an optimal fishing strategy leads to a non-convex optimal control problem with a bilinear control action. In this work, we present such an optimal control formulation, prove its well-posedness and derive first- and second-order optimality conditions. These results provide a basis for tailored finite element discretization as well as for Newton type optimization algorithms. First numerical test problems show typical features as so-called No-Take-Zones and maximal fishing quota (total allowable catches) as parts of an optimal fishing strategy.

Document Type:	Article
Keywords:	Fishing strategies, Optimal control, Non-convex optimization
Research affiliation:	Kiel University Kiel University > Kiel Marine Science OceanRep > The Future Ocean - Cluster of Excellence
Refereed:	Yes
Open Access Journal?:	No
Publisher:	American Medical Association
Projects:	Future Ocean
Date Deposited:	31 Jul 2018 10:51
Last Modified:	23 Sep 2019 23:16
URI:	https://oceanrep.geomar.de/id/eprint/43857

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