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2003 Fiscal Year Final Research Report Summary

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
KeywordsBiospecies evolution / optimality problem / optimality for environmental change / lattice model / life time / sexual reproduction / altruism / Lotka-Volterra model
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.

  • Research Products

    (12 results)

All 2003 2002 2001

All Journal Article (12 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [Journal Article] Physics and ecology of rock-paper-scissors game2001

    • Author(s)
      K.Tainaka
    • Journal Title

      Lecture Notes in Computer Science 2063

      Pages: 384

    • Description
      「研究成果報告書概要(和文)」より
  • [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
  • [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
  • [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
  • [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

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Published: 2006-07-11  

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