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Mathematical Approach to biospecies evolution and extinction

Research Project

Project/Area Number 13831004
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 環境影響評価・環境政策
Research InstitutionShizuoka University

Principal Investigator

TAINAKA Ken-ichi  Shizuoka University, Faculty of Engineering, Professor, 工学部, 教授 (30142227)

Co-Investigator(Kenkyū-buntansha) TAKEUCHI Yasuhiro  Shizuoka University, Faculty of Engineering, Professor, 工学部, 教授 (20126783)
YOSHIMURA Jin  Shizuoka University, Faculty of Engineering, Professor, 工学部, 教授 (10291957)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2001: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsBiospecies evolution / optimality problem / optimality for environmental change / lattice model / life time / sexual reproduction / altruism / Lotka-Volterra model / 環境変動と生物の応答 / 格子ミュレーション / ゲーム理論 / 囚人のジレンマゲーム / 共生と競争モデル / 最適化 / ロトカボルテラモデル / 黄金律
Research Abstract

The purpose of the present project is to study biological evolution and extinction by theoretical approaches. Examples are evolutionarily stable strategy, optimality problems, perturbation experiment by simulations. The titles of our subjects are as follows :
1)Forecast of ecological responses to environmental changes
Out works have been published in several journal, such as, Ecological Modeling and Journal of the physical Society of Japan. We find that it is very hard to predict the response of an ecosystem. This is because not only nonlinearity but also critical phenomena of phase transition (extinction) play important roles.
2)Study on species evolution
We apply lattice versions of Lotka-Volterra model. It is found that space (local interaction) does promote the coexistence of multi-species. Out works have been published in several journals.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (22 results)

All 2003 2002 2001 Other

All Journal Article (12 results) Publications (10 results)

  • [Journal Article] The effect of mutualism on community stability2003

    • Author(s)
      K.Tainaka, et al.
    • Journal Title

      J.Phys.Soc.Japan 68

      Pages: 956-961

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Perturbation expansion and optimized death rate in a lattice ecosystem2003

    • Author(s)
      K.Tainaka
    • Journal Title

      Ecological Modelling 163

      Pages: 73-85

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Perturbation expansion and optimized death rate in a lattice ecosystem.2003

    • Author(s)
      K.Tainaka
    • Journal Title

      Ecological Modeling Vol.163

      Pages: 73-85

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] The effect of mutualism on community stability.2003

    • Author(s)
      K.Tainaka, N.Terazawa, N.Yoshida, N.Nakagiri Y.Takeuchi, J.Yoshimura
    • Journal Title

      J.Phys.Soc.Japan Vol.68

      Pages: 956-961

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Patch dynamics based on Prisoner's Dilemma game : Superiority of Golden Rule2002

    • Author(s)
      K.Tainaka, Y.Itoh
    • Journal Title

      Ecological Modelling 150

      Pages: 295-307

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Patch dynamics based on Prisoner's Dilemma game2002

    • Author(s)
      K.Tainaka, Y.Itoh
    • Journal Title

      Superiority of Golden Rule, Ecological Modeling Vol.150

      Pages: 295-307

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Long-term forecast and parity law in interacting particle systems2001

    • Author(s)
      T.Sakata, K.Tainaka
    • Journal Title

      System Analysis Modelling Simulation 41

      Pages: 719-733

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Physics and ecology of rock-paper-scissors game2001

    • Author(s)
      K.Tainaka
    • Journal Title

      Lecture Notes in Computer Science 2063

      Pages: 384-384

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Spatial pattern formation in model ecosystem : exchange between symbiosis and competition2001

    • Author(s)
      K.Tainaka, et al.
    • Journal Title

      Phys.Lett.A 282

      Pages: 373-379

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Long-term forecast and parity law in interacting particle systems2001

    • Author(s)
      T.Sakata, K.Tainaka
    • Journal Title

      System Analysis Modeling Simulation Vol.41

      Pages: 719-733

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Physics and ecology of rock-paper-scissors game.2001

    • Author(s)
      K.Tainaka
    • Journal Title

      Lecture Notes in Computer Science Vol.2063

      Pages: 384-395

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Spatial pattern formation in a model ecosystem : exchange between symbiosis and competition2001

    • Author(s)
      K.Tainaka, N.Terazawa N.Yoshida, N.Nakagiri, Y.Takeuchi
    • Journal Title

      Phys.Lett.A Vol.282

      Pages: 373-379

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Itoh, K.Tainaka: "Spatial Enhancement of Population Uncertainty near the Extinction Threshold."Ecological Modelling. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Itoh, K.Tainaka: "Spatial Enhancement of Population Uncertainty in model ecosystems."J.Phys.Soc.Japan. Vol.73. 53-59 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Nakagiri, K.Tainaka: "Patch dynamics based on Prisoner's Dilemma game : Superiority of Golden Rule"Ecological Modelling. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tainaka: "Perturbation expansion and optimized death rate in a lattice ecosystem"Ecological Modelling. Vol.163. 73-85 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Tainaka, 他5名: "The Effect of Mutualism on Community Stability"J.Phys.Soc.Japan. Vol.72 No.4. 956-961 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Tainaka, Y.Itoh: "Patch dynamics based on Prisoner's Dilemma game : superiority of golden rule"Ecological Modelling. Vol.150. 295-307 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 中桐斉之, 泰中啓一: "格子確率モデルの数理と応用:複雑性を有する確率モデルの数理的研究[v]"電気情報通信学会誌. Vol.85 No12. 932-935 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nakagiri, Tainaka, Tao: "Indirect relation between species extinction and habitat destruction"Ecological Modelling. 137. 109-118 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tainaka: "Physics and ecology of Rock-Paper-Scissors game"Lecture Notes in Computer Science. 2063. 384-395 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tainaka, et al.: "Spatial Pattern Formation in a model ecosystem"Physics Letters A. 282. 373-379 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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