Application of Stochastic Control Theory to Biophysics of Fish Migration Around a Weir Equipped with Fishways
Application of Stochastic Control Theory to Biophysics of Fish Migration Around a Weir Equipped with Fishways
复制标题
DOI：
10.1007/978-981-10-2669-0_21
复制
发表时间：
2016-10
期刊：
影响因子：
--
通讯作者：
H. Yoshioka;Y. Yaegashi;K. Unami;M. Fujihara
中科院分区：
文献类型：
--
作者：
H. Yoshioka;Y. Yaegashi;K. Unami;M. Fujihara
沿沿着横截面安装的堰可能作为物理屏障，防止鱼类向上游迁移。世界上许多河流都面临着这一严重而普遍的生态问题。本文的目的是提出一个生物物理应用随机控制理论的上游鱼类洄游的河段中，个别鱼类的运动被认为是水平的2-D控制过程。确定生物和生态的目标函数，以最大化的动态规划原理导致一个2-D的非线性椭圆方程称为哈密尔顿-雅可比-贝尔曼方程（HJBE）。解决HJBE导致最佳的游泳速度场的个别鱼类在水流中。利用适当的微分方程与HJBE使我们能够有效地和一致地计算从统计的角度来看，安装在堰鱼道的吸引力。本数学模型的应用程序，以上游迁移的juvenilePlecoglossus altivelis（Ayu）周围最近装修的堰在Hii河，山阴地区，日本进行，以评估其相关的鱼道的吸引能力。
A weir installed along a river cross-section potentially serves as a physical barrier that prevents fishes from migrating toward upstream. Many rivers in the world encounter this severe and ubiquitous ecological issue. The objective of this paper is to present a biophysical application of stochastic control theory to upstream fish migration in river reaches where movements of individual fishes are considered as horizontally 2-D controlled processes. Identifying the biological and ecological objective function to be maximized with the dynamic programming principle leads to a 2-D nonlinear elliptic equation referred to as the Hamilton-Jacobi-Bellman Equation (HJBE). Solving the HJBE leads to an optimal swimming velocity field of individual fishes in water flows. Utilizing appropriate differential equations associated with the HJBE enables us to efficiently and consistently compute attraction ability of fishways installed at a weir from a statistical viewpoint. An application of the present mathematical model to upstream migration of juvenilePlecoglossus altivelis(Ayu) around a recently renovated weir in Hii River, San-in area, Japan is carried out in order to assess attraction ability of its associated fishways.