The mathematical study on the evolution of life strategy in perennial plants
Project/Area Number  04640613 
Research Category 
GrantinAid for Scientific Research (C).

Research Field 
生態学

Research Institution  Hokkaido 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 Fiscal Year 
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)

Keywords  mathematical model / evolutionary biology / life history strategy / perennial herbs / 数理モデル / 進化生態学 / 生活史戦略 / 多年生草本 
Research Abstract 
Population dynamics and life history evolution in perennial plants are studied in terms of a transition matrix model which describes the stagestructure and the densitydependence. Main subjects are (1) The analysis of the invasible condition of mutanttypes in the densitydependent matrix model. (2) The development of the analytical method of population dynamics in the densitydependent 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 densitydependent 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 stagestructure and densitydependence, using the census data of a temperate broadleaved 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 inpress papers, 3 submitted papers and 1 booksection paper.

Report
(4results)
Research Output
(7results)