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Mathematical and Computational Approaches for Stochastic Control of River Environment and Ecology: From Fisheries Viewpoint

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Computational Management

Part of the book series: Modeling and Optimization in Science and Technologies ((MOST,volume 18))

Abstract

We present a modern stochastic control framework for dynamic optimization of river environment and ecology. We focus on fisheries in Japan and show several examples of simplified optimal control problems of stochastic differential equations modeling fishery resource dynamics, reservoir water balance dynamics, benthic algae dynamics, and sediment storage dynamics. These problems concern different phenomena with each other, but they all reduce to solving degenerate parabolic or elliptic equations. Optimal controls and value functions of these problems are computed using finite difference schemes. Finally, we present a higher-dimensional problem of controlling a dam-reservoir system using a semi-Lagrangian discretization on sparse grids. Our contribution shows the state-of-art of modeling, analysis, and computation of stochastic control in environmental engineering and science, and related research areas.

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Acknowledgements

JSPS KAKENHI 19H03073, Kurita Water and Environment Foundation Grant 19B018 and 20K004, and grants from MLIT Japan for surveys of the landlocked P. altivelis and management of seaweeds in Lake Shinji support this research. The author gratefully thanks to Dr. Srikanta Patnaik for his invitation to this volume.

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Authors and Affiliations

  1. Graduate School of Natural Science and Technology, Shimane University and Fisheries Ecosystem Project Center, Shimane University, Nishikawatsu-cho 1060, Matsue, 690-8504, Japan

    Hidekazu Yoshioka

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  1. Hidekazu Yoshioka
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Correspondence to Hidekazu Yoshioka .

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Editors and Affiliations

  1. Department of Computer Science and Engineering, Faculty of Engineering, SOA University, Bhubaneswar, Odisha, India

    Srikanta Patnaik

  2. Strategic Management and International Business, Tokyo Institute of Technology, Tokyo, Japan

    Kayhan Tajeddini

  3. School of Management, Victoria University of Wellington, Wellington, New Zealand

    Vipul Jain

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Yoshioka, H. (2021). Mathematical and Computational Approaches for Stochastic Control of River Environment and Ecology: From Fisheries Viewpoint. In: Patnaik, S., Tajeddini, K., Jain, V. (eds) Computational Management. Modeling and Optimization in Science and Technologies, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-72929-5_2

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