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Study on brological evolution by lattice Lotka-Volterra model.

Research Project

Project/Area Number 10640101
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionShizuoka University (1999-2000)
Ibaraki University (1998)

Principal Investigator

TAINAKA Keiichi  Faculty of Engineering, Shizuoka University, Professor, 工学部, 教授 (30142227)

Co-Investigator(Kenkyū-buntansha) 佐藤 一憲  静岡大学, 工学部, 助教授 (30261382)
菅野 正吉  茨城大学, 理学部, 教授 (00007759)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2000: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsecosystem / lattice Lotka-Volterra model / long-term forcast / indirect effect / parity law / feedback system / 格子モデル / 生物進化 / システム生態学 / ロトカボルテラモデル / 最適化 / 黄金則 / 囚人のジレンマ / 生態系 / 摂動理論 / パリテイ則 / 生物の絶滅 / コンタクト プロセス / パーコレーション
Research Abstract

We study evolution of biospecies by the method of lattice Votka-Volterra model which has been developed by the head investigator. In ecosystems, we observe paradoxical responses, so that it is usually very difficult to predict ecological responses.
Recently (1997), we found a parity law for the long-term respons of ecosystem. We published many papers about the parity law. This law may become useful not only for ecological management but also for long-term forcast in feedback systems.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] K.Tainaka,N.Terazawa, et al.: "Spatial Pattern Formation in a Model Ecosystem"Phys.Lett.A,. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Tao,K.Tainaka,N.Konno :: "Glass transition on destructed lattice"Trans.Materials Research Society Japan. 26. 441-444 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka: "Physics and ecology of rock-paper-scissors game"Lecture Notes in Computer Science,. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Nakagiri,K.Tainaka,T.Tao: "Indirect Relation between Species Extinction and Habitat Destruction"Ecological Modelling. 137. 109-118 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka,M.Hoshiyama and Y.Takeuchi: "Dynamic process and variation in the contact process"Phys.Lett.A. 272. 416-420 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka and N.Nakagiri: "Segregation in an interacting particle system"Phys.Lett.A. 271. 416-420 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka, N.Terazawa et al.: "Spatial pattern formation in a model ecosystem : Exchange between symbiosis and competition."Phys.Lett.A. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Tao, K.Tainaka, N.Konno: "Glass transition on destructed lattice."Trans.Materials Research Society Japan. Vol.26. 441-444 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka: "Physics and ecology of Rock-paper-scissors game."Lecture Notes in Computer Science.. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Nakagiri, K.Tainaka and T.Tao: "Indirect Relation between Species Extinction and Habitat Destruction."Ecological Modelling. Vol.137. 109-118 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka, M.Hoshiyama and Y.Takeuchi: "Dynamic process and variation in the contact process."Phys.Lett.A. Vol.272. 416-420 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka and N.Nakagiri: "Segregation in an interacting particle system"Phys.Lett.A. Vol.271. 92-99 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Tainaka, N.Terazawa, et al.: "Spatial Pattern Formation in a Model Ecosystem"Phys.Lett.A,. (in press).

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Tao,K.Tainaka,N.Konno:: "Glass transition on destructed lattice"Trans.Materials Research Society Japan,. (in press).

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Tainaka: "Physics and ecology of Rock-paper-scissors game"Lecture Notes in Computer Science,. (in press).

    • Related Report
      2000 Annual Research Report
  • [Publications] N.Nakagiri,K.Tainaka,T.Tao: "Indirect Relation between Species Extinction and Habitat Destruction"Ecological Modelling. 137. 109-118 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Tainaka,M.Hoshiyama and Y.Takeuchi: "Dynamic process and variation in the contact process"Phys.Lett.A. 272. 416-420 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Tainaka and N.Nakagiri: "Segregation in an interacting particle system"Phys.Lett.A. 271. 416-420 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Tainaka,N.Araki: "Press Perturbation in Lattice Ecosystem"J.Theor.Biol. 197. 1-13 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] J.Tao,K.Tainaka,H.Nishimori: "Contact.Percolation Process"J.Phys,Soc.Japan. 68. 326-329 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Tainaka,T.Sakata: "Perturbation Experiment and Parity law・・・"J.Phys,Soc.Japan. 68. 1055-1056 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Tainaka & N.Araki: "Press Perturbation in Latlice Ecosystem" Journal of Theoretical Biology. 197. 1-13 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Tainaka & T.Sakata: "Parity Law in a Cyclic System" Journal of Physical Society of Japan. 68(3). 1055-1056 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Tao,Taninaka & Nishimori: "Contact Percolation Process" Journal of Physical Society of Japan. 68. (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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