| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/s00285-015-0938-4 |
| The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle. | |
| Metz JAJ; Stankova K; Johansson J | |
| 发表日期 | 2016 |
| 出处 | Journal of Mathematical Biology 72 (4): 1125-1152 |
| 出版年 | 2016 |
| 语种 | 英语 |
| 摘要 | This paper should be read as addendum to Dieckmann et al. (J Theor Biol 241:370.389, 2006) and Parvinen et al. (J Math Biol 67:509-533, 2013) Our goal is, using little more than high-school calculus, to (1) exhibit the form of the canonical equation of adaptive dynamics for classical life history problems, where the examples in Dieckmann et al. (J Theor Biol 24:370.389, 2006) and Parvinen et al. (J Math Biol 67: 509.533, 2013) are chosen such that they avoid a number of the problems that one gets in this most relevant of applications, (2) derive the fitness gradient occurring in the CE from simple fitness return argument, (3) show explicitly that setting said fitness gradient equal to zero results in the classical marginal value principle from evolutionary ecology, (4) show that the latter in turn is equivalent to Pontryagin's maximum principle, a well known equivalence that however in the literature is given either ex cathedra or is proven with more advanced tools, (5) connect the classical optimisation arguments of life history theory a little better to real biology (Mendelian populations with separate sexes subject to an environmental feedback loop), (6) make a minor improvement to the form of the CE for the examples in Dieckmann et al. and Parvinen et al. |
| 主题 | Evolution and Ecology (EEP) |
| 关键词 | age-dependent resource allocation canonical equation of adaptive dynamics evolution in periodic envronments function valued traits Mendelian take on life history theory Pontryagin's maximum principle |
| URL | http://pure.iiasa.ac.at/id/eprint/11276/ |
| 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/130693 |
| 推荐引用方式 GB/T 7714 | Metz JAJ,Stankova K,Johansson J. The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin's maximum principle.. 2016. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| The%20canonical%20eq（654KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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