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1991 Fiscal Year Final Research Report Summary

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)
Project Period (FY) 1990 – 1991
KeywordsMathematical Ecology / Pattern Formation / Ecosystem Network Theory / Lattice Models / Game Theory / Dynamic System Theory / Optimization Theory
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.

  • Research Products

    (36 results)

All Other

All Publications (36 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1993-03-16  

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