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Innovative mathematical modeling of life history of migratory fishes for regeneration of river environment

Research Project

Project/Area Number 17K15345
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Rural environmental engineering/Planning
Research InstitutionShimane University

Principal Investigator

Yoshioka Hidekazu  島根大学, 学術研究院環境システム科学系, 助教 (70752161)

Project Period (FY) 2017-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywords魚類回遊 / アユ / 数理モデリング / 粘性解 / 有限差分法 / HJB方程式 / 確率制御理論 / 微分ゲーム / 最適停止問題 / 河川環境 / 回遊魚 / 生活史 / 最適化問題
Outline of Final Research Achievements

We explored the optimality principle immanent in the diadromous fish Ayu. We firstly described the life history of the fish based on the stochastic control theory where the fish population dynamics is described with a system of stochastic differential equations. The problem ultimately reduces to solving the optimality equation, which is called Hamilton-Jacobi-Bellman (HJB) equation. We then performed mathematical and numerical analyses of the equation based on the concept of viscosity solutions (appropriate notion of solutions for the HJB equation). We also carried out the stochastic control modeling of river environmental management, focusing on Hii River, Shimane Prefecture, Japan. In addition, we could evaluate seasonal growth of Ayu in the river through field observations. We also evaluated individual difference of the fish growth in the river.

Academic Significance and Societal Importance of the Research Achievements

アユは,我が国における主要な内水面水産資源であるとともに,水圏生態系において欠かせない役割を担う魚種です.本研究を通し,アユの生活史や,アユを取り巻く河川環境に関する数理モデリングを大きく推進できました.いずれの課題も,これからの人間と環境の共生を考えていくうえで社会的に極めて高い重要性を有しています.とくに,HJB方程式に依拠するアユ生活史のモデリングは数理生物学的に新奇性が高く,その数理的な理解が進み,実現象への様々な示唆,および実際の水産資源管理や河川環境管理への示唆を得たことは,本研究の大きな学術的成果です.斐伊川という一河川についてですが,アユの成長を定量化できたことも貴重な成果です

Report

(3 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • Research Products

    (61 results)

All 2019 2018 2017

All Journal Article (26 results) (of which Peer Reviewed: 25 results,  Open Access: 4 results,  Acknowledgement Compliant: 1 results) Presentation (35 results) (of which Int'l Joint Research: 8 results,  Invited: 2 results)

  • [Journal Article] A finite difference scheme for variational inequalities arising in stochastic control problems with several singular control variables2019

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

      Mathematics and Computers in Simulation

      Volume: 156 Pages: 40-66

    • DOI

      10.1016/j.matcom.2018.06.013

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A mixed optimal control approach for upstream fish migration2019

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

      Journal of Sustainable Development of Energy, Water and Environment Systems

      Volume: 7 Issue: 1 Pages: 101-121

    • DOI

      10.13044/j.sdewes.d6.0221

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Finite Difference Scheme for Stochastic Differential Games with Several Singular Control Variables and Its Environmental Application2019

    • Author(s)
      Yoshioka Hidekazu、Yaegashi Yuta
    • Journal Title

      LNCS (Invited Contribution)

      Volume: 11386 Pages: 102-113

    • DOI

      10.1007/978-3-030-11539-5_10

    • ISBN
      9783030115388, 9783030115395
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite Difference Computation of a Stochastic Aquaculture Problem Under Incomplete Information2019

    • Author(s)
      Yoshioka Hidekazu、Tsugihashi Kentaro、Yaegashi Yuta
    • Journal Title

      LNCS

      Volume: 11386 Pages: 638-645

    • DOI

      10.1007/978-3-030-11539-5_75

    • ISBN
      9783030115388, 9783030115395
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity2019

    • Author(s)
      Yoshioka Hidekazu
    • Journal Title

      Journal of Biological Dynamics

      Volume: 13 Issue: 1 Pages: 148-176

    • DOI

      10.1080/17513758.2019.1576927

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis and computation of probability density functions for a 1-D impulsively controlled diffusion process2019

    • Author(s)
      Yaegashi Yuta、Yoshioka Hidekazu、Tsugihashi Kentaro、Fujihara Masayuki
    • Journal Title

      Comptes Rendus Mathematique

      Volume: 357 Issue: 3 Pages: 306-315

    • DOI

      10.1016/j.crma.2019.02.007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ‘Mathematical exercise’ on a solvable stochastic control model for animal migration2018

    • Author(s)
      Yoshioka Hidekazu
    • Journal Title

      ANZIAM Journal

      Volume: 59

    • DOI

      10.21914/anziamj.v59i0.12566

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A singular stochastic control model for sustainable population management of the fish-eating waterfowl Phalacrocorax carbo2018

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

      Journal of Environmental Management

      Volume: 219 Pages: 18-27

    • DOI

      10.1016/j.jenvman.2018.04.099

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unique solvability of a singular stochastic control model for population management2018

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

      Systems & Control Letters

      Volume: 116 Pages: 66-70

    • DOI

      10.1016/j.sysconle.2018.03.009

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An exactly solvable multiple stochastic optimal stopping problem2018

    • Author(s)
      Yoshioka Hidekazu
    • Journal Title

      Advances in Difference Equations

      Volume: 2018 Issue: 1 Pages: 1-9

    • DOI

      10.1186/s13662-018-1626-7

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Robust stochastic control modeling of dam discharge to suppress overgrowth of downstream harmful algae2018

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

      Applied Stochastic Models in Business and Industry

      Volume: 34 Issue: 3 Pages: 338-354

    • DOI

      10.1002/asmb.2301

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stochastic differential game for management of non-renewable fishery resource under model ambiguity2018

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

      Journal of Biological Dynamics

      Volume: 12 Issue: 1 Pages: 817-845

    • DOI

      10.1080/17513758.2018.1528394

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An optimal stopping approach for onset of fish migration2018

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

      Theory in Biosciences

      Volume: 137 Issue: 2 Pages: 1-18

    • DOI

      10.1007/s12064-018-0263-8

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Stochastic Impulse Control Model for Population Management of Fish-Eating Bird Phalacrocorax Carbo and Its Numerical Computation2018

    • Author(s)
      Yaegashi Yuta、Yoshioka Hidekazu、Unami Koichi、Fujihara Masayuki
    • Journal Title

      Communications in Computer and Information Science

      Volume: 946 Pages: 425-438

    • DOI

      10.1007/978-981-13-2853-4_33

    • ISBN
      9789811328527, 9789811328534
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wise-use of sediment for river restoration: numerical approach via HJBQVI2018

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

      Communications in Computer and Information Science

      Volume: 946 Pages: 271-285

    • DOI

      10.1007/978-981-13-2853-4_21

    • ISBN
      9789811328527, 9789811328534
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Impulse and singular stochastic control approaches for population management of a fish-eating bird2018

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

      Springer Nature Switzerland AG

      Volume: 1 Pages: 493-500

    • DOI

      10.1007/978-3-030-00473-6_52

    • ISBN
      9783030004729, 9783030004736
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An optimal allocation model to release fish into a river system2018

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

      Journal of Rainwater Catchment Systems

      Volume: 24(1) Pages: 1-8

    • NAID

      130007688082

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 大きく不確実な環境下における適合的な付着藻類管理モデルの提案と斐伊川への応用2018

    • Author(s)
      吉岡 秀和, 八重樫 優太, 次橋 健太郎, 渡部 建志
    • Journal Title

      河川技術論文集

      Volume: 24 Pages: 291-296

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular stochastic control model for algae growth management in dam downstream2018

    • Author(s)
      Yoshioka Hidekazu、Yaegashi Yuta
    • Journal Title

      Journal of Biological Dynamics

      Volume: 12 Issue: 1 Pages: 242-270

    • DOI

      10.1080/17513758.2018.1436197

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] A generalized exact formula for the swimming cost of upstream fish migration2018

    • Author(s)
      Yoshioka H., Watanabe T., and Tsugihashi K
    • Journal Title

      土木学会論文集B1(水工学)

      Volume: 74

    • NAID

      130007628232

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Mathematical analysis for management of released fish2017

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

      Optimal Control Applications and Methods

      Volume: 39 Issue: 2 Pages: 1141-1146

    • DOI

      10.1002/oca.2392

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] A simple game-theoretic model for upstream fish migration2017

    • Author(s)
      Yoshioka Hidekazu
    • Journal Title

      Theory in Biosciences

      Volume: 136 Issue: 3-4 Pages: 99-111

    • DOI

      10.1007/s12064-017-0244-3

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [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
      2017 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stochastic optimization model of aquacultured fish for sale and ecological education2017

    • Author(s)
      Yoshioka Hidekazu、Yaegashi Yuta
    • Journal Title

      Journal of Mathematics in Industry

      Volume: 7 Issue: 1 Pages: 1-23

    • DOI

      10.1186/s13362-017-0038-8

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] ダム直下における付着藻類の繁茂を抑制する流量管理方針のモデリング2017

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

      河川技術論文集

      Volume: 23 Pages: 561-566

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Numerical methods to simulate moisture dynamics in fibrous sheet2017

    • Author(s)
      Yoshioka Hidekazu、Fukada Kotaro、Kita Ichiro
    • Journal Title

      Journal of Mathematics in Industry

      Volume: 7 Issue: 1 Pages: 1-25

    • DOI

      10.1186/s13362-017-0040-1

    • Related Report
      2017 Research-status Report
  • [Presentation] ハイヅカ湖陸封アユの生活史を通した生態調査2019

    • Author(s)
      田中 智美, 堀之内 正博, 藤原 純子, 吉岡 秀和, 伊藤 康宏, 荒西 太士
    • Organizer
      平成31年度公益社団法人日本水産学会春季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Discrete costly observation model for early growth estimation in fisheries management: a case study in Plecoglossus altivelis altivelis2019

    • Author(s)
      Yoshioka H., Yoshioka Y., Yaegashi Y., Tanaka T., Horinouchi M., and Aranishi F.
    • Organizer
      平成31年度公益社団法人日本水産学会春季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Stochastic optimal control and differential game for river environmental and ecological management2018

    • Author(s)
      Yoshioka H., Yoshioka Y., Hamagami K., Yaegashi Y.
    • Organizer
      第132回汽水域懇談会 & 生物資源科学部環境共生科学科セミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] 河川清掃の変分不等式に対する有限差分近似2018

    • Author(s)
      吉岡 秀和, 白井 朋之, 田上 大助, 八重樫 優太
    • Organizer
      第23回計算工学講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 個体群管理のインパルス制御モデルが有する厳密解の係数に関する数値計算2018

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      第23回計算工学講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 個体群管理のためのインパルス制御モデルにおける閾値の感度解析2018

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      平成30年度農業農村工学会大会講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A time-dependent stochastic optimal impulse control model for management of fish-eating bird2018

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Organizer
      第26回日本雨水資源化システム学会大会研究発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] On a non-local hyperbolic-elliptic system having discontinuous self-similar solutions2018

    • Author(s)
      Yoshioka H., Okamoto H., and Unami K.
    • Organizer
      数理農学における時系列データのモデル化と解析
    • Related Report
      2018 Annual Research Report
  • [Presentation] Stochastic optimal impulse control policy for management of seasonal fish-eating bird population dynamics2018

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Organizer
      数理農学における時系列データのモデル化と解析
    • Related Report
      2018 Annual Research Report
  • [Presentation] Mathematical linkages of biological and environmental information engineering and finance (邦題:生物環境情報工学とファイナンスの数理的つながり)2018

    • Author(s)
      Yoshioka H., Li Z., Yoshioka Y., and Yano A.
    • Organizer
      ファイナンスの数理解析とその応用
    • Related Report
      2018 Annual Research Report
  • [Presentation] Stochastic control in management problems on environment and ecology of rivers2018

    • Author(s)
      Yoshioka H.
    • Organizer
      金融経済研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 確率論的な特異制御問題に付随する変分不等式に対する有限差分法2018

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      日本応用数理学会環瀬戸内応用数理研究部会第21回シンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 魚食性鳥類カワウの駆除計画の策定を目的とした特異確率制御モデル2018

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      数理農学の基盤づくりに向けて
    • Related Report
      2017 Research-status Report
  • [Presentation] 生物移動の数理モデルにおける粘性解2018

    • Author(s)
      吉岡 秀和, 岡本 久, 白井 朋之, 田上 大助, 宇波 耕一
    • Organizer
      数理農学の基盤づくりに向けて
    • Related Report
      2017 Research-status Report
  • [Presentation] 数理科学の観点から生物資源の管理を考える2018

    • Author(s)
      吉岡 秀和
    • Organizer
      平成29年度生物資源科学部セミナーおよび島根県食品工業研究会との交流会
    • Related Report
      2017 Research-status Report
  • [Presentation] 島根県斐伊川における環境・生態の数理モデリング2018

    • Author(s)
      吉岡 秀和, 次橋 健太郎, 渡部 建志, 八重樫 優太
    • Organizer
      平成29年度生物資源科学部セミナーおよび島根県食品工業研究会との交流会
    • Related Report
      2017 Research-status Report
  • [Presentation] 水際境界が大移動する吹送流場の水平2次元流れ解析に対する局所慣性方程式の適用性2017

    • Author(s)
      田中 智大, 吉岡 秀和
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 有害生物個体群の駆除戦略を導く特異確率制御モデルの数値近似2017

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] inite difference approximation of a variational inequality for fish migration2017

    • Author(s)
      Yoshioka H., Tagami D., and Shirai, T.
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 浅水流方程式の数値計算におけるAUSM法の適用と評価2017

    • Author(s)
      木村 匡臣, 吉岡 秀和
    • Organizer
      第22回計算工学講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] 河床付着藻類の繁茂抑制に関する変分不等式の具体的な厳密解と漸近解2017

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Research-status Report
  • [Presentation] 最適停止問題に基づく魚類回遊タイミングのモデリング2017

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      日本応用数理学会2017年度年会
    • Related Report
      2017 Research-status Report
  • [Presentation] 内水面水産資源の堅牢な管理指針を見出すための微分ゲーム理論2017

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      ELR2017名古屋
    • Related Report
      2017 Research-status Report
  • [Presentation] 河川水系の漁場特性を考慮したアユ放流量の最適配分モデル2017

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原正幸
    • Organizer
      第74回農業農村工学会京都支部講演会
    • Related Report
      2017 Research-status Report
  • [Presentation] Generalization of a singular stochastic control model for optimal suppression strategy of a fish-eating bird population2017

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原正幸
    • Organizer
      第25回日本雨水資源化システム学会大会研究発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] Fish migration as a stochastic optimal stopping problem: application of the methodology in mathematical finance2017

    • Author(s)
      吉岡 秀和, 八重樫 優太
    • Organizer
      ファイナンスの数理解析とその応用
    • Related Report
      2017 Research-status Report
  • [Presentation] Application of singular stochastic control theory to fish-eating waterfowl population management2017

    • Author(s)
      八重樫 優太, 吉岡 秀和, 宇波 耕一, 藤原 正幸
    • Organizer
      ファイナンスの数理解析とその応用
    • Related Report
      2017 Research-status Report
  • [Presentation] Applicability of the 2-D local inertial equations to long-term hydrodynamic simulation of the Tonle Sap Lake2017

    • Author(s)
      Tanaka T. and Yoshioka H.
    • Organizer
      The 2nd International Symposium on Conservation and Management of Tropical Lakes
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] On mathematics of the 2-D local inertial model for flood simulation2017

    • Author(s)
      Yoshioka H. and Tanaka T.
    • Organizer
      The 2nd International Symposium on Conservation and Management of Tropical Lakes
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal policy of predator suppression for sustainable inland fishery management2017

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Organizer
      12th SDEWES Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Viscosity solutions of a mathematical model for upstream migration of potamodromous fish2017

    • Author(s)
      Yoshioka H., Shirai T., and Tagami D.
    • Organizer
      12th SDEWES Conference
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical simulation of animal migration via a nonlinear degenerate elliptic free boundary problem2017

    • Author(s)
      Yoshioka H. and Yaegashi Y.
    • Organizer
      The 36th JSST Annual International Conference on Simulation Technology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stable local inertial model with an implicit and consistent friction term treatment2017

    • Author(s)
      Tanaka T. and Yoshioka H.
    • Organizer
      The 36th JSST Annual International Conference on Simulation Technology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A two-variable stochastic singular control model for management of fishery resources under predation2017

    • Author(s)
      Yaegashi Y., Yoshioka H., Unami K., and Fujihara M.
    • Organizer
      The 36th JSST Annual International Conference on Simulation Technology
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] An exactly solvable stochastic control model for gradual and radical animal migration2017

    • Author(s)
      Yoshioka H.
    • Organizer
      EMAC2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2020-03-30  

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