A simple game-theoretic model for upstream fish migration
書誌事項
- 公開日
- 2017-05-03
- 資源種別
- journal article
- 権利情報
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- https://creativecommons.org/licenses/by/4.0
- https://creativecommons.org/licenses/by/4.0
- DOI
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- 10.1007/s12064-017-0244-3
- 公開者
- Springer Science and Business Media LLC
この論文をさがす
説明
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.
収録刊行物
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- Theory in Biosciences
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Theory in Biosciences 136 (3-4), 99-111, 2017-05-03
Springer Science and Business Media LLC
