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Optimal management of non-Markovian biological populations

January 1, 2007

Wildlife populations typically are described by Markovian models, with population dynamics influenced at each point in time by current but not previous population levels. Considerable work has been done on identifying optimal management strategies under the Markovian assumption. In this paper we generalize this work to non-Markovian systems, for which population responses to management are influenced by lagged as well as current status and/or controls. We use the maximum principle of optimal control theory to derive conditions for the optimal management such a system, and illustrate the effects of lags on the structure of optimal habitat strategies for a predator-prey system.

Publication Year 2007
Title Optimal management of non-Markovian biological populations
DOI 10.1016/j.ecolmodel.2006.07.039
Authors B.K. Williams
Publication Type Article
Publication Subtype Journal Article
Series Title Ecological Modelling
Index ID 70033078
Record Source USGS Publications Warehouse