Optimization of Fishing Strategies in Space and Time as a Non-convex Optimal Control Problem.

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.

Full text not available from this repository.

Supplementary data:

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 Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Kiel University
Refereed: Yes
Open Access Journal?: No
DOI etc.: 10.1007/s10957-018-1304-7
ISSN: 0022-3239
Projects: Future Ocean
Date Deposited: 31 Jul 2018 10:51
Last Modified: 26 Mar 2019 12:38
URI: http://oceanrep.geomar.de/id/eprint/43857

Actions (login required)

View Item View Item