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Spatial analysis of evolutionary stability by lattice Lotka-Volterra models

Research Project

Project/Area Number 16605003
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計算科学
Research InstitutionShizuoka University

Principal Investigator

TAINAKA Kei-ichi  Shizuoka University, Fac. of Engineering, Professor (30142227)

Project Period (FY) 2004 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,950,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordslattice Lotka-Volterra model / redundancy / evolutionary process / Monte-Carlo method / species coexistence / sex ratio at birth / finite life time / numerical simulation / 格子ロトカボルテラ模型 / 生物進化 / 性比理論 / ゲーム理論 / 数値シュミレーション / 環境変動と生物の応答 / ロトカ・ボルテラ模型 / 格子ミュレーション / 利他行動 / 囚人のジレンマゲーム / 共生と競争モデル / 格子シミュレーション
Research Abstract

In the end of 20 century, various techniques of computer science play important roles in biology. When I (head investigator of the present project) started lattice models in ecology, very few scientists studied spatial explicit model. Hirotsugu Matsuda is one of such scientists. Although many authors carry out computer simulations by cellular automata, Matsuda and I started to apply Monte-Carlo simulations on lattice space. I called our method lattice Lotka-Volterra model". This method was very rare, because it uses a lot of random numbers. We can obtain new results ; some results were paradoxical from the aspect of Lotka-Volterra model. The present project is on the line of the lattice Lotka-Volterra model.
I applied the method to ecology, especially to evolution. I noticed various types of "redundancy" in evolutionary traits. One of such traits is the animal sex ratio. In many animals, the sex ratio between male and female is 1:1. Male and man looks waste for reproduction. I explain the origin of 1:1 sex ratio by new theory of sustainability (Europhysics Letters 2006). Our theory differs from ESS. Moreover I explain the reason why boys are more born than girls.
The results have been reported by news paper and in books.

Report

(5 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (47 results)

All 2008 2007 2006 2005 2004 Other

All Journal Article (40 results) (of which Peer Reviewed: 13 results) Presentation (1 results) Book (6 results)

  • [Journal Article] Perturbation experiments and fluctuation enhancement in finite size of lattice ecosystems : Uncertainty in top-predator conservation2008

    • Author(s)
      Hiroyasu, Nagata, Satoru, Morita, Jin, Yoshimura, Tokiya, Nitta, Kei-ichi, Tainaka
    • Journal Title

      Ecological informatics 3

      Pages: 191-201

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Perturbation experiments and fluctuation enhancement in finite size of lattice ecosystems2008

    • Author(s)
      H. Nagata, et. al.
    • Journal Title

      Ecological Informatics

      Pages: 191-201

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Power law for extinction process in multiple contact process.2007

    • Author(s)
      Y. Sakisaka, K. Tainaka, N. Sugimine, J. Yoshimura, T. Hayashi, et. al.
    • Journal Title

      Journal of the Physical Society of Japan 76

      Pages: 1-4

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Effects of gamete behavior and density on fertilization success in marine green algae: insights from three-dimensional numerical simulations.2007

    • Author(s)
      T. Togashi, et. al.
    • Journal Title

      Aquatic Ecology DOI10.1007

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Do male orangutans play a hawk-dove game?2007

    • Author(s)
      K. Tainaka, J. Yoshimura and Michael L. Rosenzweig.
    • Journal Title

      Evolutionary Ecology Research 9

      Pages: 1043-1049

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Power law for extinction process in multiple contact process2007

    • Author(s)
      Y. Sakisaka, K. Tainaka, N. Sugimine, J. Yoshimura, T. Hayashi, et. al.
    • Journal Title

      Journal of the Physical Society of Japan 76

      Pages: 1-4

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Using carbonized refuse derived fuel to restore seaweed forests : a potential conservation technique2007

    • Author(s)
      T. Togashi, T. Miyazaki, J. Yoshimura, K. Yudate, P. A. Cox
    • Journal Title

      Applied Ecology and Environmental Research 5

      Pages: 19-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Effects of gamete behavior and density on fertilization success in marine green algae : insights from three-dimensional numerical simulations2007

    • Author(s)
      T. Togashi, M. Nagisa, T. Miyazaki, J. Yoshimura, K. Tainaka, et. al
    • Journal Title

      Aquatic Ecology 10.1007 : 10452-007

      Pages: 9105-3

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Do male orangutans play a hawk-dove game?2007

    • Author(s)
      K. Tainalta, J. Yoshimura, Michael, L. Rosenzweig
    • Journal Title

      Evolutionary Ecology Research 9

      Pages: 1043-1049

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A power law for extinction process in multiple contact process2007

    • Author(s)
      Y. Sakisaka, et. al.
    • Journal Title

      J.Phys.Soc.Japan 76

      Pages: 23101-23101

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Do male orangutans play a hawk-dove game2007

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

      Evolutionary Ecology Research 9

      Pages: 1043-1049

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The role of rare species in the community stability of a model ecosystem.2006

    • Author(s)
      J. Yoshimura, et. al.
    • Journal Title

      Evolutionary Ecology Research 8

      Pages: 629-642

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Gamete behaviors and the evolution of "marked anisogamy": reproductive strategies and sexual dimorphism in Bryopsidales marine green algae.2006

    • Author(s)
      T. Togashi, et. al.
    • Journal Title

      Evolutionary Ecology Research 8

      Pages: 617-628

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A geographical model of high species diversity.2006

    • Author(s)
      Kei-ichi Tainaka, et. al.
    • Journal Title

      Population Ecology 48

      Pages: 113-119

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Spatial coexistence of phytoplankton species in ecological timescale.2006

    • Author(s)
      Tatsuo Miyazaki, et. al.
    • Journal Title

      Population Ecology 48

      Pages: 107-112

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Sustainable sex ratio in lattice population model.2006

    • Author(s)
      Kei-ichi Tainaka, Taro Hayashi and Jin Yoshimura
    • Journal Title

      Europhysics Letters 74

      Pages: 554-559

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Asymmetrical effect of migration on a prey-predator model.2006

    • Author(s)
      Koshi Kitamura, et. al.
    • Journal Title

      Physics Letters A 357

      Pages: 213-217

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Stage-Dependent Density Effect in the Cell Cycle of Budding Yeast.2006

    • Author(s)
      Kei-ichi Tainaka, Jin Yoshimura and Takashi Ushimaru.
    • Journal Title

      Journal of Theoretical Biology 242

      Pages: 736-742

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] The role of rare species in the community stability of a model ecosystem2006

    • Author(s)
      Jin, Yoshimura, Kei-ichi, Tainaka, Takanori, Suzuki, Yukio, Sakisaka, Nariyuki, Nakagiri, Tatsuya, Togashi, Tatsuo, Miyazaki
    • Journal Title

      Evolutionary Ecology Research 8

      Pages: 629-642

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A geographical model of high species diversity2006

    • Author(s)
      Kei-ichi, Tainaka, Yoshiaki, Itoh, Jin, Yoshimura, Takahiro, Asami
    • Journal Title

      Population Ecology 48

      Pages: 113-119

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 2006. Spatial coexistence of phytoplankton species in ecological timescale2006

    • Author(s)
      Tatsuo, Miyazaki, Kei-ichi, Tainaka, Tatsuya, Togashi, Takanori, Suzuki, Jin, Yoshimura
    • Journal Title

      Population Ecology 48

      Pages: 107-112

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Sustainable sex ratio in lattice population model2006

    • Author(s)
      Kei-ichi, Tainaka, Taro, Hayashi, Jin, Yoshimura
    • Journal Title

      Europhysics Letters 74

      Pages: 554-559

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Asymmetrical effect of migration on a prey-predator model2006

    • Author(s)
      Koshi, Kitamura, Kyohei, Kashiwagi, Kei-ichi, Tainaka, Taro, Hayashi, Jin, Yoshimura, Takahisa, Kawai, Tsuyoshi, Kajiwara
    • Journal Title

      Physics Letters 357

      Pages: 213-217

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Undamped oscillations in prey-predator models2006

    • Author(s)
      Satoru, Morita, Kei-ichi, Tainaka
    • Journal Title

      Population Ecology 48

      Pages: 99-105

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Stage-Dependent Density Effect in the Cell Cycle of Budding Yeast2006

    • Author(s)
      Kei-ichi, Tainaka, Jin, Yoshimura, Takashi, Ushimaru
    • Journal Title

      Journal of Theoretical Biology 242

      Pages: 736-742

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Sustainable sex ratio in lattice population model.2006

    • Author(s)
      Kei-ichi Tainaka, Taro Hayashi, Jin Yoshimura
    • Journal Title

      Europhysics Letters 74

      Pages: 554-559

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The role of rare species in the community stability of a model ecosystem.2006

    • Author(s)
      Jin Yoshimura, et al.
    • Journal Title

      Evolutionary Ecology Research 8

      Pages: 629-642

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A geographical model of high species diversity.2006

    • Author(s)
      Kei-ichi Tainaka, et al.
    • Journal Title

      Population Ecology 48

      Pages: 113-119

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Spatial coexistence of phytoplankton species in ecological timescale.2006

    • Author(s)
      T.Miyazaki, et al.
    • Journal Title

      Population Ecology 48

      Pages: 107-112

    • Related Report
      2006 Annual Research Report
  • [Journal Article] パーソナル・コミュニケーションによる流行現象のパターン解析2006

    • Author(s)
      泰中啓一, 他
    • Journal Title

      情報科学技術レターズ 5

      Pages: 279-282

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Stage-Dependent Density Effect in the Cell Cycle of Budding Yeast2006

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

      J. Theor. Biology 242

      Pages: 736-742

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Asymmetrical effect of migration on a prey-predator model.2006

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

      Physics Letters A 357

      Pages: 213-217

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Sustainable sex ratio in lattice populations2006

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

      Europhysics Letters (in press)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A geographical model of high species diversity2006

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

      Population Ecology (in press)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Bond and site percolation and habitat destruction in model ecosystems2005

    • Author(s)
      N.Nakagiri, K.Tainaka, J.Yoshimura
    • Journal Title

      J.Phys.Soc.Japan 74

      Pages: 3163-3166

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Frequency of Stochastic Oscillations in Interacting Population Models2005

    • Author(s)
      Satoru Morita, Yu Ito, Kei-ichi Tainaka
    • Journal Title

      J.Phys.Soc.Japan 74

      Pages: 819-822

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Phase Transition of Interspecific Segregation in a Lattice Ecosystem with Intraspecific Competition2004

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

      J.Phys.Soc.Japan 73

      Pages: 2914-2915

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spatial Enhancement of Population Uncertainty near the Extinction Threshold2004

    • Author(s)
      Y.Itoh, et al.
    • Journal Title

      Ecological Modelling 174

      Pages: 191-201

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Indirect effects of habitat destruction in model ecosystems2004

    • Author(s)
      N.Nakagiri, K.Tainaka
    • Journal Title

      Ecological Modelling 174

      Pages: 103-114

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A lattice model of fashion propagation with correlation analysis

    • Author(s)
      Takahisa, Kawai, Yousuke, Tadokoro, Kei-ichi, Tainaka, Taro, Hayashi, Jin, Yoshimura
    • Journal Title

      International Journal of Systems Science (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Optimal Sex Ratio in lattice populations2007

    • Author(s)
      K. Tainaka
    • Organizer
      6th European Conference on Ecological Modelling
    • Place of Presentation
      イタリア・トリエステ
    • Year and Date
      2007-11-28
    • Related Report
      2007 Annual Research Report
  • [Book] ibid(In Chinese)2008

    • Publisher
      SEmo Publishing Co. Ltd., Taipei
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 生き残る生物 絶滅する生物2007

    • Author(s)
      泰中啓一・吉村仁
    • Total Pages
      156
    • Publisher
      日本実業出版社,東京.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Ikinokoru Seibutsu Zetumetsusuru Seibutsu (In Japanese)2007

    • Author(s)
      Kei-ichi, Tainaka, Jin, Yoshimura
    • Publisher
      Nihon-jitugyou-hupansha, Tokyo
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 生き残る生物、絶滅する生物2007

    • Author(s)
      泰中 啓一・吉村 仁
    • Total Pages
      153
    • Publisher
      日本実業出版
    • Related Report
      2007 Annual Research Report
  • [Book] Makerugakachi no ikinokori senryaku (In Japanese)2006

    • Author(s)
      Kei-ichi, Tainaka
    • Publisher
      KK Bestsellers, Tokyo
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 「負けるが勝ち」の生き残り戦略-なぜ自分のことばかり考えるやつは滅びるか2006

    • Author(s)
      泰中啓一
    • Total Pages
      168
    • Related Report
      2006 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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