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来源类型 | Monograph (IIASA Interim Report) |
规范类型 | 报告 |
A Simple Fitness Proxy for Structured Populations with Continuous Traits, with Case Studies on the Evolution of Haplodiploids and Genetic Dimorphisms. | |
Metz JAJ; Leimar O | |
发表日期 | 2011 |
出版者 | IIASA, Laxenburg, Austria: IR-11-014 |
出版年 | 2011 |
语种 | 英语 |
摘要 | For structured populations in equilibrium with everybody born equal ln(R_0) is a useful fitness proxy for ESS and most adaptive dynamics calculations, with R_0 the average lifetime number of offspring in the clonal and haploid cases, and half the average lifetime number of offspring fathered or mothered for Mendelian diploids. When individuals have variable birth states, as is e.g. the case in spatial models, R_0 is itself an eigenvalue, which usually cannot be expressed explicitly in the trait vectors under consideration. In that case Q(Y|X) := -det(I-L(Y|X)) can often be used as fitness proxy, with L the next-generation matrix for a potential mutant characterised by the trait vector Y in the (constant) environment engendered by a resident characterised by X. If the trait space is connected, global univadability can be determined from it. Moreover it can be used in all the usual local calculations like the determination of evolutionarily singular trait vectors and their local invadability and attractivity. We conclude with three extended case studies demonstrating the usefulness of Q: the calculation of ESSes under haplo-diploid genetics (I), of Evolutionarily Steady genetic Dimorphisms with a priori proportionality of macro- and micro-gametic outputs (an assumption that is generally made but the fulfillment of which is a priori highly exceptional) (II), and of ESDs without such proportionality (III). These case studies should also have some interest in their own right for the spelled out calculation recipes and their underlying modelling methodology. |
主题 | Evolution and Ecology (EEP) |
关键词 | Fitness Fitness proxy Haplo-diploid ESS Evolutionarily steady genetic dimorphism Evolutionarily stable genetic dimorphism Ideal free genetic dimorphism Evolutionarily steady polymorphism Evolutionarily stable polymorphism Ideal free polymorphism |
URL | http://pure.iiasa.ac.at/id/eprint/9820/ |
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/125829 |
推荐引用方式 GB/T 7714 | Metz JAJ,Leimar O. A Simple Fitness Proxy for Structured Populations with Continuous Traits, with Case Studies on the Evolution of Haplodiploids and Genetic Dimorphisms.. 2011. |
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IR-11-014.pdf(3112KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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