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来源类型Article
规范类型其他
DOI10.1016/j.jtbi.2016.12.019
The effect of fecundity derivatives on the condition of evolutionary branching in spatial models.
Parvinen K; Ohtsuki H; Wakano J Y
发表日期2017
出处Journal of Theoretical Biology 416: 129-143
出版年2017
语种英语
摘要By investigating metapopulation fitness, we present analytical expressions for the selection gradient and conditions for convergence stability and evolutionary stability in Wright's island model in terms of fecundity function. Coefficients of each derivative of fecundity function appearing in these conditions have fixed signs. This illustrates which kind of interaction promotes or inhibits evolutionary branching in spatial models. We observe that Taylor's cancellation result holds for any fecundity function: Not only singular strategies but also their convergence stability is identical to that in the corresponding well-mixed model. We show that evolutionary branching never occurs when the dispersal rate is close to zero. Furthermore, for a wide class of fecundity functions (including those determined by any pairwise game), evolutionary branching is impossible for any dispersal rate if branching does not occur in the corresponding well-mixed model. Spatial structure thus often inhibits evolutionary branching, although we can construct a fecundity function for which evolutionary branching only occurs for intermediate dispersal rates.
主题Evolution and Ecology (EEP)
关键词Adaptive dynamics Cooperation Evolutionary branching Natural selection
URLhttp://pure.iiasa.ac.at/id/eprint/14212/
来源智库International Institute for Applied Systems Analysis (Austria)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/131062
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Parvinen K,Ohtsuki H,Wakano J Y. The effect of fecundity derivatives on the condition of evolutionary branching in spatial models.. 2017.
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