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具有世代重叠的有限单倍体种群的动态。 I. 矩、固定概率和稳定分布。

The dynamics of finite haploid populations with overlapping generations. I. Moments, fixation probabilities and stationary distributions.

机构信息

Department of Statistics, Iowa State University, Ames, Iowa 50011 Department of Statistics, University of Georgia, Athens, Georgia 30602.

出版信息

Genetics. 1979 May;92(1):323-37. doi: 10.1093/genetics/92.1.323.

DOI:10.1093/genetics/92.1.323
PMID:17248922
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC1213953/
Abstract

Much of the work on finite populations with overlapping generations has been limited to deriving effective population numbers with the tacit assumption that the dynamics of the population will be similar to a population with nonoverlapping generations and the appropriate population number. In this paper, some exact and approximate results will be presented on the behavior of the first two moments of the gene frequencies. The probability of fixation of a neutral gene is found equal to the initial average reproductive value of the gene, and the means and covariances of the stable distribution with mutation in both directions are found by a simple extension of the values found by assuming nonoverlapping generations.

摘要

在具有世代重叠的有限群体的研究中,大部分工作都局限于推导出有效群体数量,其隐含假设是群体的动态将类似于具有非重叠世代和适当群体数量的群体。在本文中,将给出关于基因频率前两个矩的行为的一些精确和近似结果。中性基因固定的概率等于基因的初始平均生殖值,并且通过简单扩展假设非重叠世代时找到的值,可以找到具有双向突变的稳定分布的均值和协方差。

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本文引用的文献

1
Evolution in Mendelian Populations.孟德尔群体中的进化。
Genetics. 1931 Mar;16(2):97-159. doi: 10.1093/genetics/16.2.97.
2
Malthusian parameters in genetic populations. I. Haploid and selfing models.遗传群体中的马尔萨斯参数。I. 单倍体和自交模型。
Theor Popul Biol. 1970 Nov;1(3):315-45. doi: 10.1016/0040-5809(70)90049-3.
3
Inbreeding and variance effective numbers in populations with overlapping generations.具有重叠世代的种群中的近亲繁殖与方差有效数
Genetics. 1971 Aug;68(4):581-97. doi: 10.1093/genetics/68.4.581.
4
Effective size of populations with overlapping generations.具有重叠世代的种群的有效大小。
Theor Popul Biol. 1972 Sep;3(3):278-89. doi: 10.1016/0040-5809(72)90004-4.