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The mathematical study on the evolution of life strategy in perennial plants

Research Project

Project/Area Number 04640613
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 生態学
Research InstitutionHokkaido Tokai University

Principal Investigator

TAKADA Takenori  Hokkaido Tokai University, Department of International Cultural Relationships, Associate Professor, 国際文化学部, 助教授 (80206755)

Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1993: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1992: ¥800,000 (Direct Cost: ¥800,000)
Keywordsmathematical model / evolutionary biology / life history strategy / perennial herbs
Research Abstract

Population dynamics and life history evolution in perennial plants are studied in terms of a transition matrix model which describes the stage-structure and the density-dependence. Main subjects are
(1) The analysis of the invasible condition of mutant-types in the density-dependent matrix model.
(2) The development of the analytical method of population dynamics in the density-dependent matrix model.
(3) The evolution of the frequency of reproduction in plants.
(4) The optimal allcation to seed reproduction and vegetative reproduction.
In (1), invasible condition in the density-dependent matrix model was obtained. The result of (1) was published in Mathematical Biosciences in 1992 and in Kokyuroku, Research Institute for Mathematical Science, Kyoto University in 1993. In (2), we developed the analytical method of the population dynamics with stage-structure and density-dependence, using the census data of a temperate broad-leaved forest. The result of (2) is in submission to Journal of Ecology. Next, we analyzed the subject (3) in terms of the invasible condition obtained from (1). The result of (3) is in invasible condition. The result of (4) is also in submission to Evolution. I applied the result of (4) to a woodland herb, Syneilesis palmata and obtained the optimal allocation strategy to seed and vegetative reproduction. It is shown theoretically that reproducing only vegetatively is the optimal allocation of S.palmata. The result of the applied analysis is in press in Proceedings of Population Ecological Society (Japanese). Totally, the results of a series of studies in these two years are 2 published papers, 2 in-press papers, 3 submitted papers and 1 book-section paper.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] Takada,T.: "An analysis of life history evolution in terms of the density-dependent Lefkovitch matrix." Mathematical Biosciences.112. 155-176 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takada,T.: "The mathematical analysis of life history evolution in plants." Kokyuroku,Research Institute for Mathematical Sciences,Kyoto University.827. 199-207 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takada,T.: "The relationship between the transition matrix model and the diffusion model." Journal of Mathematical Biology.(in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 高田壮則: "推移行列モデルを用いた生活史進化の解析" 個体群生態学会会報. (発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] 東正剛: "生態学からみた北海道" 北海道大学図書刊行会, 373 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takada,T.&Nakajima,H.: "An analysis of life history evolution in terms of the density-dependent Lefkovitch matrix model." Mathematical Biosciences.112. 155-176 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Takda,T.: "The mathematical analysis of life history evolution inplants." Research Institute for Mathematical Sciences,Kyoto University,Kokyuroku.

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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