| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/s00285-007-0134-2 |
| Adaptive dynamics for physiologically structured population models. | |
| Durinx M; Metz JAJ; Meszena G | |
| 发表日期 | 2008 |
| 出处 | Journal of Mathematical Biology 56 (5): 673-742 |
| 出版年 | 2008 |
| 语种 | 英语 |
| 摘要 | We develop a systematic toolbox for analyzing the adaptive dynamics of multidimensional traits in physiologically structured population models with point equilibria (sensu Dieckmann et al. in Theor. Popul. Biol. 63:309-338, 2003). Firstly, we show how the canonical equation of adaptive dynamics (Dieckmann and Law in J. Math. Biol. 34:579-612, 1996), an approximation for the rate of evolutionary change in characters under directional selection, can be extended so as to apply to general physiologically structured population models with multiple birth including second order terms, in the distances of the trait vectors to the singularity) for a community of N coexisting types near an evolutionarily singular point has a rational form, which is model-independent in the following sense: the form depends on the strategies of the residents and the invader, and on the second order partial derivatives of the one-resident fitness function at the singular point. This normal form holds for Lotka-Volterra models as well as for physiologically structured population models with multiple birth states, in discrete as well as continuous time and can thus be considered universal for the evolutionary dynamics in the neighbourhood of singular points. Only in the case of one-dimensional trait spaces or when N = 1 can the normal orm be reduced to a Taylor polynomial. Lastly we show, in the form of a stylized recipe, how these results can be combined into a systematic approach for the analysis of the (large) class of evolutionary models that satisfy the above restrictions. |
| 主题 | Evolution and Ecology (EEP) |
| 关键词 | Adaptive dynamics Evolutionary modelling Multitype branching processes Multivariate evolutionarily singular strategies Physiologically structured populations |
| URL | http://pure.iiasa.ac.at/id/eprint/8554/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/128833 |
| 推荐引用方式 GB/T 7714 | Durinx M,Metz JAJ,Meszena G. Adaptive dynamics for physiologically structured population models.. 2008. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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