Stochastic control of ecological networks

Journal of Mathematical Biology - Tập 85 - Trang 1-23 - 2022
Arnaud Z. Dragicevic1,2,3, Anjula Gurtoo4,5
1CIRANO — Centre Interuniversitaire de Recherche en Analyse des Organisations, Montréal, Canada
2INRAE — The Center of Clermont-Auvergne-Rhône-Alpes, Aubière, France
3AgroParisTech, INRAE, Université Clermont Auvergne, VetAgro Sup [UMR Territoires], Aubière, France
4Indian Institute of Science [IISc — Department of Management Studies], Bengaluru, India
5Indian Institute of Science [IISc — Centre for Society and Policy], Bengaluru, India

Tóm tắt

The paper models the maintenance of ecological networks in forest environments, built from bioreserves, patches and corridors, when these grids are subject to random processes such as extreme natural events. It also outlines a management plan to support the optimized results. After presenting the random graph-theoretic framework, we apply the stochastic optimal control to the graph dynamics. Our results show that the preservation of the network architecture cannot be achieved, under stochastic control, over the entire duration. It can only be accomplished, at the cost of sacrificing the links between the patches, by increasing the usage of the control devices. This would have a negative effect on the species migration by causing congestion among the channels left at their disposal. The optimal scenario, in which the shadow price is at its lowest and all connections are well-preserved, occurs at half of the course, be it the only optimal stopping moment found on the stochastic optimal trajectories. In such a scenario, the optimal forestry management policy has to integrate agility, integrated response, and quicker response time.

Tài liệu tham khảo

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