A simple game-theoretic model for upstream fish migration
A simple game-theoretic model for upstream fish migration
复制标题
上游鱼类洄游的简单博弈论模型
DOI：
10.1007/s12064-017-0244-3
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发表时间：
2017
影响因子：
1.1
通讯作者：
Yoshioka Hidekazu
中科院分区：
文献类型：
--
作者：
Yoshioka H.;Yaegashi Y.;Yoshioka Hidekazu
提出了一个简单的上游鱼类迁徙的博弈论模型，该模型是江河鱼类生活史中的一个关键因素。该模型的建立是以游泳速度和学校规模为变量同时优化的迁徙费用最小化问题。寻找优化器最终归结为在没有显式解的情况下求解自洽方程。数学分析结果给出了自洽方程存在唯一解的充分条件，并证明了该充分条件与存在唯一优化器的条件一致。对优化器的行为进行了数学和数值分析，以显示其生物物理和生态后果。分析结果表明，目前的数学模型与以往研究中报道的鱼群上游迁移的理论和实验结果符合得很好。
A simple game-theoretic model for upstream fish migration, which is a key element in life history of diadromous fishes, is proposed. Foundation of the model is a minimization problem on the cost of migration with the swimming speed and school size as the variables to be simultaneously optimized. Finding the optimizer ultimately reduces to solving a self-consistency equation without explicit solutions. Mathematical analytical results lead to the sufficient condition that the self-consistency equation has a unique solution, which turns out to be identified with the condition where the unique optimizer exists. Behavior of the optimizer is analyzed both mathematically and numerically to show its biophysical and ecological consequences. The analytical results demonstrate reasonable agreement between the present mathematical model and the theoretical and experimental results of upstream migration of fish schools reported in the past research.