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Stochastic control of ecological networks

Author

Listed:
  • Arnaud Dragicevic

    (CIRANO - Center for Interuniversity Research and Analysis of Organizations)

  • Anjula Gurtoo

    (IISc - Indian Institute of Science)

Abstract

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.

Suggested Citation

  • Arnaud Dragicevic & Anjula Gurtoo, 2022. "Stochastic control of ecological networks," Post-Print hal-03738542, HAL.
  • Handle: RePEc:hal:journl:hal-03738542
    DOI: 10.1007/s00285-022-01777-5
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    Cited by:

    1. Yude Fu & Jing Zhu & Xiang Li & Xu Han & Wenhui Tan & Qizi Huangpeng & Xiaojun Duan, 2024. "Research on Group Behavior Modeling and Individual Interaction Modes with Informed Leaders," Mathematics, MDPI, vol. 12(8), pages 1-23, April.
    2. Yuri V. Tyutyunov, 2023. "Spatial Demo-Genetic Predator–Prey Model for Studying Natural Selection of Traits Enhancing Consumer Motility," Mathematics, MDPI, vol. 11(15), pages 1-18, August.

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