| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/s00285-005-0329-3 |
| Function-valued adaptive dynamics and the calculus of variations. | |
| Parvinen K; Dieckmann U; Heino M | |
| 发表日期 | 2006 |
| 出处 | Journal of Mathematical Biology 52 (1): 1-26 |
| 出版年 | 2006 |
| 语种 | 英语 |
| 摘要 | Adaptive dynamics has been widely used to study the evolution of scalar-valued, and occasionally vector-valued, strategies in ecologically realistic models. In many ecological situations, however, evolving strategies are best described as function-valued, and thus infinite-dimensional, traits. So far, such evolution has only been studied sporadically, mostly based on quantitative genetics models with limited ecological realism. In this article we show how to apply the calculus of variations to find evolutionarily singular strategies of function-valued adaptive dynamics: such a strategy has to satisfy Euler's equation with environmental feedback. We also demonstrate how second-order derivatives can be used to investigate whether or not a function-valued singular strategy is evolutionarily stable. We illustrate our approach by presenting several worked examples. |
| 主题 | Evolution and Ecology (EEP) |
| 关键词 | Adaptive dynamics Infinite-dimensional traits Reaction norms Calculus of variations Euler's equation |
| URL | http://pure.iiasa.ac.at/id/eprint/7893/ |
| 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/128571 |
| 推荐引用方式 GB/T 7714 | Parvinen K,Dieckmann U,Heino M. Function-valued adaptive dynamics and the calculus of variations.. 2006. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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