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Mathematical and numerical modeling for migration of Plecoglossus altivelis considering uncertainties

Research Project

Project/Area Number 15H06417
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Rural environmental engineering/Planning
Research InstitutionShimane University

Principal Investigator

Yoshioka Hidekazu  島根大学, 生物資源科学部, 助教 (70752161)

Project Period (FY) 2015-08-28 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
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)
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
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.

Report

(3 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Annual Research Report
  • Research Products

    (35 results)

All 2017 2016 2015

All Journal Article (14 results) (of which Peer Reviewed: 12 results,  Acknowledgement Compliant: 12 results,  Open Access: 1 results) Presentation (21 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] Cost-minimizing upstream migration strategy of isolated and schooling fishes in 1-D open channel flows2017

    • Author(s)
      Yoshioka H., Shirai T., and Tagami D.
    • Journal Title

      土木学会論文集B1

      Volume: 73

    • NAID

      130006406205

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 1次元局所慣性方程式に対する摩擦項を考慮した数値安定性解析2017

    • Author(s)
      田中 智大,吉岡 秀和,木村 匡臣,山崎 大
    • Journal Title

      土木学会論文集B1

      Volume: 73

    • NAID

      130006406281

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Optimization model to start harvesting in stochastic aquaculture system2017

    • Author(s)
      Yoshioka H. and Yaegashi Y.
    • Journal Title

      Applied Stochastic Models in Business and Industry

      Volume: in press Issue: 5 Pages: 1-18

    • DOI

      10.1002/asmb.2250

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] An optimal management strategy for stochastic population dynamics of released Plecoglossus altivelis in rivers2017

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Journal Title

      International Journal of Modeling, Simulation, and Scientific Computing

      Volume: 8, No.1750039 Issue: 02 Pages: 1-16

    • DOI

      10.1142/s1793962317500398

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Numerical simulation of a Hamilton-Jacobi-Bellman equation for optimal management strategy of released Plecoglossus altivelis in river systems2016

    • Author(s)
      Yaegashi Y, Yoshioka H, Unami K, Fujihara M
    • Journal Title

      Communications in Computer and Information Science

      Volume: 603 Pages: 91-101

    • DOI

      10.1007/978-981-10-2158-9_8

    • ISBN
      9789811021572, 9789811021589
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of stochastic control theory to biophysics of fish migration around a weir equipped with fishways2016

    • Author(s)
      Yoshioka H, Yaegashi Y, Unami K, Fujihara M
    • Journal Title

      Communications in Computer and Information Science

      Volume: 645 Pages: 190-200

    • DOI

      10.1007/978-981-10-2669-0_21

    • ISBN
      9789811026683, 9789811026690
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical analysis and validation of an exactly solvable model for upstream migration of fish schools in one-dimensional rivers2016

    • Author(s)
      Yoshioka H.
    • Journal Title

      Mathematical Biosciences

      Volume: 281 Pages: 69-84

    • DOI

      10.1016/j.mbs.2016.09.014

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Finding the optimal opening time of harvesting farmed fishery resources2016

    • Author(s)
      Yoshioka H. and Yaegashi Y.
    • Journal Title

      Pacific Journal of Mathematics for Industry

      Volume: 8(6) Issue: 1 Pages: 1-6

    • DOI

      10.1186/s40736-016-0025-9

    • NAID

      40021103709

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 斐伊川中流域における内水面漁業の現状とその展望2016

    • Author(s)
      吉岡 秀和,吉井 傅,八重樫 優太
    • Journal Title

      島根大学生物資源科学部研究報告

      Volume: 21 Pages: 23-28

    • NAID

      120005853190

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Identifying the cost function for upstream migration of individual fishes in 1-D open channels based on an optimal control theory2016

    • Author(s)
      Yoshioka H., Yaegashi Y., Unami K., and Fujihara M.
    • Journal Title

      土木学会論文集B1分冊 (水工学特集号)

      Volume: 72

    • NAID

      130005311929

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Optimal strategies for harvesting and predator extermination to sustain Plecoglossus altivelis (Ayu) population in stochastic river environment2016

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Journal Title

      Journal of Rainwater Catchment Systems

      Volume: 未定

    • NAID

      130007687907

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stochastic control of fishery resources using dynamical models for local behaviour and global population (邦題:局所的行動と大域的個体群の動態モデルを用いた水産資源の確率制御)2016

    • Author(s)
      Yoshioka H., Yaegashi Y., Unami K., and Fujihara M.
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Related Report
      2015 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Numerical comparison of shallow water models in multiply connected open channel networks2015

    • Author(s)
      Yoshioka H., Unami K., and Fujihara M.
    • Journal Title

      Journal of Advanced Simulation in Science and Engineering

      Volume: 2 Issue: 2 Pages: 271-291

    • DOI

      10.15748/jasse.2.271

    • NAID

      130005108388

    • ISSN
      2188-5303
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A Petrov-Galerkin Finite Element Scheme for 1-D Time-independent Hamilton-Jacobi-Bellman Equations2015

    • Author(s)
      Yoshioka H., Unami K., and Fujihara M.
    • Journal Title

      Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

      Volume: 71 Issue: 2 Pages: I_149-I_160

    • DOI

      10.2208/jscejam.71.I_149

    • NAID

      130005128869

    • ISSN
      2185-4661
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 捕食者の最適駆除戦略に関する特異確率制御問題の厳密解と数値解析2017

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      日本応用数理学会環瀬戸内応用数理研究部会第20回シンポジウム
    • Place of Presentation
      呉市海事歴史科学館
    • Related Report
      2016 Annual Research Report
  • [Presentation] 魚類の河川遡上に関連した,ある最適化問題の数学解析と数値計算2017

    • Author(s)
      吉岡 秀和, 白井 朋之, 田上 大助
    • Organizer
      日本応用数理学会環瀬戸内応用数理研究部会第20回シンポジウム
    • Place of Presentation
      呉市海事歴史科学館
    • Related Report
      2016 Annual Research Report
  • [Presentation] 河床付着藻類の繁茂抑制策を見出すための確率制御問題2017

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      島根大学生物資源科学部研究シーズによる地域活性化と人材育成、地域企業とのコラボ
    • Place of Presentation
      島根県民会館
    • Related Report
      2016 Annual Research Report
  • [Presentation] カワウ捕食圧下における放流アユ個体群の最適管理戦略2016

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      第73回農業農村工学会京都支部講演会
    • Place of Presentation
      大阪リバーサイドホテル
    • Year and Date
      2016-11-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] Optimal installation of overhead lines preventing piscivorous birds in stochastic river environment2016

    • Author(s)
      Yaegashi H., Yoshioka H., Unami K., Fujihara M.
    • Organizer
      第24回日本雨水資源化システム学会大会研究発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2016-10-29
    • Related Report
      2016 Annual Research Report
  • [Presentation] Optimal installation of overhead lines with decaying protection effect for fish from predators2016

    • Author(s)
      Yoshioka H., Yaegashi H., Unami K., Fujihara M.
    • Organizer
      第24回日本雨水資源化システム学会大会研究発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2016-10-29
    • Related Report
      2016 Annual Research Report
  • [Presentation] A stochastic control model for optimal management strategy of released Plecoglossus altivelis in river environment based on a pure death process2016

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Organizer
      AsiaSim/SCS Autumn Sim 2016
    • Place of Presentation
      Beijing, China
    • Year and Date
      2016-10-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 放流された内水面水産資源の最適管理戦略に関する数学解析2016

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      平成28年度応用数理学会年会
    • Place of Presentation
      福岡県北九州市北九州国際会議場
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
  • [Presentation] アユを魚食性鳥類から守るための最も経済的なテグス張り戦略2016

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      平成28年度応用数理学会年会
    • Place of Presentation
      福岡県北九州市北九州国際会議場
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
  • [Presentation] 養殖水産資源に対する最適漁獲開始時刻の支配方程式2016

    • Author(s)
      吉岡 秀和, 八重樫 優太, 次橋 健太郎
    • Organizer
      平成28年度応用数理学会年会
    • Place of Presentation
      福岡県北九州市北九州国際会議場
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
  • [Presentation] Mathematical modeling and numerical analysis of a nonlinear degenerate elliptic equation for upstream fish migration in rivers2016

    • Author(s)
      Yoshioka H., Tagami D., Shirai T., and Yaegashi Y.
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      新潟県新潟市朱鷺メッセ
    • Year and Date
      2016-05-31
    • Related Report
      2016 Annual Research Report
  • [Presentation] Finite element solution of a stochastic control model for optimal population management strategy of released Plecoglossus altivelis2016

    • Author(s)
      Yaegashi Y., Yoshioka H., Takagi K., Unami K., and Fujihara M.
    • Organizer
      第21回計算工学講演会
    • Place of Presentation
      新潟県新潟市朱鷺メッセ
    • Year and Date
      2016-05-31
    • Related Report
      2016 Annual Research Report
  • [Presentation] 放流アユの最適管理戦略に関する有限要素解析2016

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      京都大学計算科学ユニット若手研究交流会
    • Place of Presentation
      京都大学
    • Year and Date
      2016-03-09
    • Related Report
      2015 Annual Research Report
  • [Presentation] 地域を取り巻く自然・社会科学的な事象の数理・数値モデリング2016

    • Author(s)
      吉岡秀和
    • Organizer
      平成27年度島根大学若手研究員に対する支援研究成果報告会
    • Place of Presentation
      島根大学
    • Year and Date
      2016-03-08
    • Related Report
      2015 Annual Research Report
  • [Presentation] 斐伊川水系における水・物質輸送動態 と魚類回遊の評価および予測2016

    • Author(s)
      吉岡 秀和, 八重樫 優太, 宇波 耕一, 藤原 正幸
    • Organizer
      平成27年度島根大学ミッション成果報告会
    • Place of Presentation
      くにびきメッセ
    • Year and Date
      2016-02-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] Mathematical analysis of a primitive dynamic programming problem for water reservoirs (貯水池運用の単純な動的計画問題に対する数学解析)2016

    • Author(s)
      藤倉 大和, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      平成28年度農業農村工学会応用水理研究部会
    • Place of Presentation
      岐阜市文化センター
    • Related Report
      2016 Annual Research Report
  • [Presentation] On analytical viscosity solution to a 1-D Hamilton-Jacobi-Bellman equation for upstream migration of individual fishes in rivers2015

    • Author(s)
      Yoshioka H. and Shirai T.
    • Organizer
      EMAC2015
    • Place of Presentation
      Adelaide, Australia
    • Year and Date
      2015-12-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 内水面漁業におけるカワウ食害の一変数確率制御モデル,2015

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      第72回農業農村工学会京都支部講演会
    • Place of Presentation
      ピアザ淡海
    • Year and Date
      2015-11-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] Numerical simulation on optimal countermeasure for feeding damage by great cormorant to inland fisheries based on stochastic control theory2015

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Organizer
      AsiaSim2015
    • Place of Presentation
      Jeju, Korea
    • Year and Date
      2015-11-04
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Optimal migration strategy of individual fishes to minimize the swimming cost based on a monomial function (邦題:単項式関数に基づく遊泳コストを最小化する魚類個体の最適回遊戦略)2015

    • Author(s)
      Yoshioka H., Yaegashi Y., Unami K., and Fujihara M.
    • Organizer
      第23回日本雨水資源化システム学会大会研究発表会
    • Place of Presentation
      桜華会館
    • Year and Date
      2015-10-31
    • Related Report
      2015 Annual Research Report
  • [Presentation] 魚類遡上を記述する1次元ハミルトン・ヤコビ・ベルマン方程式2015

    • Author(s)
      吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学
    • Year and Date
      2015-09-09
    • Related Report
      2015 Annual Research Report

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Published: 2015-08-26   Modified: 2018-03-22  

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