Moran process and Wright-Fisher process favor low variability
نویسندگان
چکیده
منابع مشابه
On the two oldest families for the Wright-Fisher process
We extend some of the results of Pfaffelhuber and Wakolbinger on the process of the most recent common ancestors in evolving coalescent by taking into account the size of one of the two oldest families or the oldest family which contains the immortal line of descent. For example we give an explicit formula for the Laplace transform of the extinction time for the Wright-Fisher diffusion. We give...
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Rates of molecular evolution along phylogenetic trees are influenced by mutation, selection and genetic drift. Provided that the branches of the tree correspond to lineages belonging to genetically isolated populations (e.g., multi-species phylogenies), the interplay between these three processes can be described by analyzing the process of substitutions to the common ancestor of each populatio...
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Introduction Most of the theoretical work in population genetics is based on the Wright-Fisher Model (Ewens 1979), which has constant population size and discrete generations. However, most of its analysis has been done using a continuous approximation, in particular, the diffusion approximation of Kimura (1962) and the coalescent analysis of Kingman (1980a,b). The present work considers the ex...
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Evolutionary game dynamics in finite populations can be described by a frequency dependent, stochastic Wright-Fisher process. We consider a symmetric game between two strategies, A and B. There are discrete generations. In each generation, individuals produce offspring proportional to their payoff. The next generation is sampled randomly from this pool of offspring. The total population size is...
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Several groups have recently modeled evolutionary transitions from an ancestral allele to a beneficial allele separated by one or more intervening mutants. The beneficial allele can become fixed if a succession of intermediate mutants are fixed or alternatively if successive mutants arise while the previous intermediate mutant is still segregating. This latter process has been termed stochastic...
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ژورنال
عنوان ژورنال: Discrete & Continuous Dynamical Systems - B
سال: 2021
ISSN: 1553-524X
DOI: 10.3934/dcdsb.2020242