Mathematical and numerical modeling for migration of Plecoglossus altivelis considering uncertainties
| Project/Area Number |
15H06417
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Rural environmental engineering/Planning
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| Research Institution | Shimane University |
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Principal Investigator |
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| Project Period (FY) |
2015-08-28 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | アユ / 回遊 / 最適制御理論 / ハミルトン・ヤコビ・ベルマン方程式 / 粘性解 / 斐伊川 / 魚群回遊 / 遡上 / 動的計画原理 / HJB方程式 / 有限要素法 / 魚類回遊 / 生物物理学 / 確率制御理論 / 河川水系 / 回遊魚 / 河川回遊 / 内水面漁業 / 非線型偏微分方程式系 / 有限体積法 |
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| Outline of Final Research Achievements |
We developed a new mathematical model for describing fish migration along 1-D rivers or connected graphs based on the optimal control theory. We showed that the derivation of the migration strategy reduces to finding a solution to a Hamilton-Jacobi-Bellman equation: a nonlinear degenerate parabolic partial differential equation. We also showed that the equation admits a viscosity solution and discussed its practical implications. Accurate numerical schemes for stable computation of the HJB equation has also been developed in the project. In addition, macroscopic mathematical models for population dynamics of Plecoglossus altivelis (Ayu) in river environment was established and applied to finding cost-effective management of the fish population.
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Report
(3 results)
Research Products
(35 results)
