全球智库信息集成服务系统(G2TT): A new proof for the convergence of an individual based model to the trait substitution sequence.

G2TT

来源类型	Article
规范类型	其他
DOI	10.1007/s10440-013-9847-y
	A new proof for the convergence of an individual based model to the trait substitution sequence.
	Gupta A; Metz JAJ; Tran VC
发表日期	2014
出处	Acta Applicandae Mathematicae 131 (1): 1-27
出版年	2014
语种	英语
摘要	We consider a continuous time stochastic individual based model for a population structured only by an inherited vector trait and with logistic interactions. We consider its limit in a context from adaptive dynamics: the population is large, the mutations are rare and the process is viewed in the timescale of mutations. Using averaging techniques due to Kurtz (in Lecture Notes in Control and Inform. Sci., vol. 177, pp. 186-209, 1992), we give a new proof of the convergence of the individual based model to the trait substitution sequence of Metz et al. (in Trends in Ecology and Evolution 7(6), 198-202, 1992), first worked out by Dieckman and Law (in Journal of Mathematical Biology 34(5-6), 579-612, 1996) and rigorously proved by Champagnat (in Theoretical Population Biology 69, 297-321, 2006): rigging the model such that "invasion implies substitution", we obtain in the limit a process that jumps from one population equilibrium to another when mutations occur and invade the population.
主题	Evolution and Ecology (EEP)
关键词	Birth and death process Structured population Adaptive dynamics Individual based model Averaging technique Trait substitution sequence
URL	http://pure.iiasa.ac.at/id/eprint/10925/
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/130046
推荐引用方式 GB/T 7714	Gupta A,Metz JAJ,Tran VC. A new proof for the convergence of an individual based model to the trait substitution sequence.. 2014.