Robust Control of a Spatially Distributed Commercial Fishery
Date
01.02.2013
01.02.2013
Authors
William A. Brock, Anastasios Xepapadeas, Athanasios N. Yannacopoulos
JEL Code
D81, R12, Q22, C6
D81, R12, Q22, C6
Keywords:
Spatiotemporal Dynamics, Model Uncertainty, Robust Control, Fishery
Spatiotemporal Dynamics, Model Uncertainty, Robust Control, Fishery
Publisher
Climate Change and Sustainable Development
Climate Change and Sustainable Development
Editor
Carlo Carraro
Carlo Carraro
We consider a robust control model for a spatially distributed commercial fishery under uncertainty, and in particular a tracking problem, i.e. the problem of robust stabilization of a chosen deterministic benchmark state in the presence of model uncertainty. The problem is expressed in the form of a stochastic linear quadratic robust optimal control problem, which is solved analytically. We focus on the emergence of breakdown from the robust stabilization policy, called hot spots, and comment upon their significance concerning the spatiotemporal behaviour of the system.