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来源类型 | Monograph (IIASA Interim Report) |
规范类型 | 报告 |
The adaptive dynamics of life histories: From fitness-returns to selection gradients and Pontryagin's maximum principle. | |
Metz JAJ; Johansson J | |
发表日期 | 2012 |
出版者 | IIASA, Laxenburg, Austria: IR-12-054 |
出版年 | 2012 |
语种 | 英语 |
摘要 | Using a fitness-returns argument we derive an expression for the selection gradient for the age dependent allocation strategy in a common class of state variable based life-history models. By setting the selection gradient equal to zero as part of the calculation of the ESS-es for such models, we get a marginal value argument and through this recover the local version of Pontryagin's maximum principle. This fills in a minor gap in a recent paper by Parvinen, Heino and Dieckmann (2012; DOI10.1007/s00285-012-0549-2), who treated the calculation of the selection gradient and of the ESS-es as separate issues. As bonuses we (i) provide an extension of the framework of these authors that can handle also the more complicated evolutionary dynamics of the life histories that we consider, and (ii) derive also the full Pontryagin's maximum principle from a fitness-returns argument. |
主题 | Evolution and Ecology (EEP) |
URL | http://pure.iiasa.ac.at/id/eprint/10221/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/125861 |
推荐引用方式 GB/T 7714 | Metz JAJ,Johansson J. The adaptive dynamics of life histories: From fitness-returns to selection gradients and Pontryagin's maximum principle.. 2012. |
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文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
IR-12-054.pdf(1715KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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