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Review and Prospect of Mathematical Methods for Ecology

Research Project

Project/Area Number 02304004
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 生態学
Research InstitutionKyushu University

Principal Investigator

MATSUDA Hirotsugu  Kyushu Univ., Fact. of Sci., Hon. Prof., 理学部, 名誉教授 (10027336)

Co-Investigator(Kenkyū-buntansha) IWASA Yoh  Kyushu Univ., Fact. of Sci., Prof., 理学部, 教授 (70176535)
MIMURA Masayasu  Hiroshima Univ., Fact. of Sci., Prof., 理学部, 教授 (50068128)
ONO Yuichi  Kyushu Univ., Fact. of Sci., Prof., 理学部, 教授 (60037166)
ITO Yoshiaki  Nagoya Univ., Fact. of Agr., Prof., 農学部, 教授 (50115531)
TERAMOTO Ei  Ryukoku Univ., Fact. of Sci. & Tec., Prof., 理工学部, 教授 (30025225)
山村 則男  佐賀医科大学, 一般教育, 助教授 (70124815)
重定 南奈子  京都大学, 理学部, 助手 (70025443)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥8,700,000 (Direct Cost: ¥8,700,000)
Fiscal Year 1991: ¥4,100,000 (Direct Cost: ¥4,100,000)
Fiscal Year 1990: ¥4,600,000 (Direct Cost: ¥4,600,000)
KeywordsMathematical Ecology / Pattern Formation / Ecosystem Network Theory / Lattice Models / Game Theory / Dynamic System Theory / Optimization Theory / 地球環境問題 / 有性生殖の進化 / 時間空間的ヘテロジェネイテイ / システム工学 / 応用非線形解析 / 進化遺伝学 / 水産資源解析 / 大規模シミュレ-ション
Research Abstract

Use of various mathematical methods of approach for theoretical ecology has been reviewed and debated such as game theory for social behavior of animals, optimization theory for physiology and ecology of plants, partial differential equations for invasion, dispersion and spatial pattern formation, dynamical system theory for population dynamics and stability of communities, and network theory for succession and ecosystem. As a trial to bridge the gap between 'Teleological' approach such as game theory and optimization theory, and 'causal' theory such as dynamical systems and partial differential equations, statistical mechanical approach using the lattice model was advocated and its relation to the contact process was discussed. It was pointed out that the flow of matter and energy must be considered more seriously and effectively in the problem of communities such as a number of trophic levels.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (62 results)

All Other

All Publications (62 results)

  • [Publications] 佐藤 一憲,佐々木 顕,松田 博嗣: "生物集団の格子模型" 数理解析研究所講究録“Mathematical Topics in Biology". 762. 111-122 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Teramoto,Ei: "Simple community model of one-sided competition." J.Math.Biol.(1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Teramoto,Ei: "Size distribution of growing colonies" J.Math.Biol.(1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Shigesada,N.,Kawasaki,K.,Tsumura,O.& Teramoto,E.: "The role of mul-tiple invasions of predators in organizing biological communities." Tech.Report Oak Ridge Natl.Lab.(1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Takasu,F.,Kawasaki,K.,Nakamura,H.,Cohen,J.E.,& Shigesada,N.: "Modeling the populatin dynamics of cockoo-host association and the evolution of host defenses." Amer.Natur. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Higashi,M.,Yamamura,N.,Abe,T.& Burns,T.: "Why don't all termite species have a sterile worker caste?" Proc.Roy,Soc.B.246. 1315-1319 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yamamura,& Higashi,M.: "An Evolutinary theory of conflict resolution between relatives:Altruism,manipulatin,compromise"" Evolution. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Nakajima,H.: "Sensitivity and Stability of Flow Networks." Ecological modelling. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iizuka,M.,& Ogura,Y.: "Convergence of one-dimensional diffusion processes to a jump process related to populatin genetics" Journal of Mathematical Biology. 29. 671-687 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iizuka,M.: "Genealogical process in models with migration and selection." 数理解析研究所講究録“Mathematical Topics in Biology". 762. 7-18 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa,Y.,K.Sato,and S.Nakashima: "Dynamic modelling of wave regeneration(Shimagare)in subalpine Abies forests" Journal of Theoretical Biology. 152. 143-158 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa,Y.: "Pessimistic Plants:the optimal growth schedule in fluctuating environments" Theoretical Population Biology. 40. 246-268 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Cohen,J.E.,Y.Iwasa,Gh.Rautu,M.B.Ruskai,E.Seneta and Gh.Zbaganu.: "Relative entropy under mappings by stochastic matrices." Linear Algebra and Its Applications. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa,Y.,A.Yamauchi and S.Nozoe: "The optimal seasonal timing of univotline and bivoltine insects." Ecological Research. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Tsumura,O.,Kawasaki,K.,& Shigesada,N.: "Modelling indirect effect of predation on community Structure.In "Mutualism and Organization of Naytural Communities"(H.Kawanabe,J.Cohen,& K.Iwasaki,eds.)" Oxford Univ.Press, (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 伊藤 嘉昭,山村 則男,嶋田 正和: "動物生態学" 蒼樹書房, (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Kawasaki,K.,Nakajima,H.,Shigesada,N.& Teramoto,E.: "Structure,Stability and Succession of Model Competition Systems.In Theoretical Studies of Ecosystems(M.Higashi,& T.P.Burns,eds.)" Cambridge Univ.Press, (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 巌佐 庸: "進化における性の役割.「生態学からみた進化」講座「進化」第4巻" 東京大学出版会, (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sato, K., Sasaki, A., & Matsuda, H.: "Lattice models for biological populations." Rep. Res. Inst. Math. Sci.762. 111-122 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Teramoto, Ei: "Simple community model of one-sided competition." J. Math. Biol.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Teramoto, Ei: "Size distribution of growing colonies" J. Math. Biol.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Shigesada, N., Kawasaki, K. Tsumura, O. & Teramoto, E.: "The role of multiple invasions of predators in organizing biological communities." Tech. Report Oak Ridge Natl. Lab.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Takasu, F., Kawasaki, K., Nakamura, H., Cohen, J. E., & Shigesada, N.: "Modeling the population dynamics of a cuckoo-host association and the evolution of host defenses." Amer. Natur.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Higashi, M., Yamamura, N., Abe, T. & Burns, T.: "Why don't all termite species have a sterile worker caste?" Proc. Roy, Soc. B.246. 1315-1319 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yamamura, & Higashi, M.: "An Evolutionary theory of conflict resolution between relatives : Altruism, manipulation, compromise"" Evolution. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Ito, Y., Yamamura, N., & Shimada, M.: "Animal ecology" Soju Publ. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Nakajima, H.: "Sensitivity and Stability of Flow Networks." Ecological modelling. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iizuka, M., & Ogura, Y.: "Convergence of one-dimensional diffusion processes to a jump process related to population genetics" Journal of Mathematical Biology. 29. 671-687 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iizuka, M.: "Genealogical process in models with migration and selection." Rep. Res. Inst. Math Sci.762. 7-18 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa, Y., K. Sato, and S. Nakashima: "Dynamic modelling of wave regeneration (Shimagare) in subalpine Abies forests" Journal of Theoretical Biology. 152. 143-158 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa, Y. ; Pessimistic plants: "the optimal growth schedule in fluctuating environments" Theoretical Population Biology. 40. 246-268 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Cohen, J. E., Y. Iwasa, Gh. Rautu, M. B. Ruskai, E. Seneta and Gh. Zbaganu: "Relative entropy under mappings by stochastic matrices." Linear Algebra and Its Applications. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa, Y., A. Yamauchi and S. Nozoe: "The optimal seasonal timing of univotline and bivoltine insects." Ecological Research. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Iwasa, Y: "Role of sexual reproduction in evolution. in "Evolution, viewed from ecology"" "Evolution". 4. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Tsumura, O., Kawasaki, K., & Shigesada, N.: Oxford Univ. Press. Modelling indirect effect of predation on community Structure. In "Mutualism and Organization of Natural Communities" (H. Kawanabe, J. Cohen, & K. Iwasaki, eds.), (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Kawasaki, K., Nakajima, H., Shigesada, N. & Teramoto, E.: Cambridge Univ. Press. Structure, Stability and Succession of Model Competition Systems. In Theoretical Studies of Ecosystems, (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 佐藤 一憲,佐々木 顕,松田 博嗣: "生物集団の格子模型" 数理解析研究所講究録“Mathematical Topics in Biology". 762. 111-122 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Teramoto,Ei: "Simple community model of oneーsided competition." J.Math.Biol.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Teramoto,Ei: "Size distribution of growing colonies" J.Math.Biol.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Shigesada,N.,Kawasaki,K.,Tsumura,O.& Teramoto,E.: "The role of mulーtiple invasions of predators in organizing biological communities." Tech.Report Oak Ridge Natl.Lab.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Takasu,F.,Kawasaki,K.,Nakamura,H.,Cohen,J.E.,& Shigesada,N.: "Modeling the populatin dynamics of a cuckooーhost association and the evolution of host defenses." Amer.Natur.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Higashi,M.,Yamamura,N.,Abe,T.& Burns,T.: "Why don't all termite species have a sterile worker caste?" Proc.Roy,Soc.B.246. 1315-1319 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Yamamura,& Higashi,M.: "An Evolutinary theory of conflict resolution between relatives: Altruism,manipulatin,compromise"" Evolution. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Nakajima,H.: "Sensitivity and Stability of Flow Networks." Ecological modelling. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Iizuka,M.,& Ogura,Y.: "Convergence of oneーdimensional diffusion processes to a jump process related to populatin genetics" Journal of Mathematical Biology. 29. 671-687 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Iizuka,M.: "Genealogical process in models with migration and selection." 数理解析研究所講究録“Mathematical Topics in Biology". 762. 7-18 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Iwasa,Y.,K.Sato,and S.Nakashima: "Dynamic modelling of wave regeneration (Shimagare) in subalpine Abies forests" Journal of Theoretical Biology. 152. 143-158 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Iwasa,Y.: "Pessimistic plants:the optimal growth schedule in fluctuating environments" Theoretical Population Biology. 40. 246-268 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Cohen,J.E.,Y.Iwasa,Gh.Rautu,M.B.Ruskai,E.Seneta and Gh.Zbaganu.: "Relative entropy under mappings by stochastic matrices." Linear Algebra and Its Applications. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Iwasa,Y.,A.Yamauchi and S.Nozoe: "The optimal Seasonal timing of univotline and bivoltine insects." Ecological Research. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Tsumura,O.,Kawasaki,K.,& Shigesada,N.(H.Kawanabe,J.Cohen,& K.Iwasaki,eds.): "Modelling indirect effect of predation on community Structure.In“Mutualism and Organization of Naytural Communities"" Oxford Univ.Press, (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 伊藤 嘉昭,山村 則男,嶋田 正和: "動物生態学" 蒼樹書房, (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Kawasaki,K.,Nakajima,H.,Shigesada,N.& Teramoto,E.(M.Higashi,& T.P.Burns,eds.): "Structure,Stability and Succession of Model Competition Systems.In Theoretical Studies of Ecosystems" Cambridge Univ.Press, (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 巌佐 庸: "進化における性の役割.『生態学からみた進化』講座「進化」第4巻" 東京大学出版会, (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] Iwasa,Y.: "Optimal growth schedule of terrestrial plants." in “Biolog<ical approaches and evolut>___ーionary trands in plants" (S.Kawano ed.) Academic Press: N.Y.335-349 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Cuthill,I.,A.Kacelnik,J.R.Krebs,P.Haccou,and Y.Iwasa: "Starlings exploiting patches: the effect of recent experience on foraging decisions." <Animal Behaviour>___ー. 40. 625-640 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Iwasa,Y.: "Sex change evolution and cost of reproduction" <Behabioural Ecology>___ー.

    • Related Report
      1990 Annual Research Report
  • [Publications] Sasaki,A.and Y.Iwasa: "Optimal growth schedule of pathogens within a host: switching between lytic and latant cycles." <Theoretical Population Biology>___ー.

    • Related Report
      1990 Annual Research Report
  • [Publications] Pomiankowski,A.,Y.Iwasa and S.Nee: "The evolution of costly mate preference.I.Fisher and biased mutation." <Evolution>___ー.

    • Related Report
      1990 Annual Research Report
  • [Publications] Iwasa,Y.,A.Pomiankowski and S.Nee: "The evolution of costly preference.II.Handicap princeple." <Evolution>___ー.

    • Related Report
      1990 Annual Research Report
  • [Publications] 山岸 哲・巌佐 庸 訳: "『行動生態学入門(原著第2版)』(J.R.クレブスとN.B.デイビス著)" 蒼樹書房 (共訳), 454 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 巌佐 庸 監訳: "『性の不思議がわかる本』(P.J.グリ-ンウッド、アダムズ)(田町信雄・佐々木顕と共訳)" HBJ出版局, 200 (1991)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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