On the weak convergence of Wright-Fisher model

The Wright-Fisher Model and Genetic Drift

A Wright-Fisher model with indirect selection.

We study a generalization of the Wright-Fisher model in which some individuals adopt a behavior that is harmful to others without any direct advantage for themselves. This model is motivated by studies of spiteful behavior in nature, including several species of parasitoid hymenoptera in which sperm-depleted males continue to mate despite not being fertile. We first study a single reproductive ...

the effect of using model essays on the develpment of writing proficiency of iranina pre-intermediate efl learners

abstract the present study was conducted to investigate the effect of using model essays on the development of writing proficiency of iranian pre-intermediate efl learners. to fulfill the purpose of the study, 55 pre- intermediate learners of parsa language institute were chosen by means of administering proficiency test. based on the results of the pretest, two matched groups, one as the expe...

A Logistic Branching Process Alternative to the Wright-Fisher Model

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...

The Wright--Fisher model for class--dependent fitness landscapes

We consider a population evolving under mutation and selection. The genotype of an individual is a word of length l over a finite alphabet. Mutations occur during reproduction, independently on each locus; the fitness depends on the Hamming class (the distance to a reference sequence w∗). Evolution is driven according to the classical Wright– Fisher process. We focus on the proportion of the di...