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Effective population size of a population with stochastically varying size
Journal of Mathematical Biology, 2009For a Wright-Fisher model with mutation whose population size fluctuates stochastically from generation to generation, a heterozygosity effective population size is defined by means of the equilibrium average heterozygosity of the population. It is shown that this effective population size is equal to the harmonic mean of population size if and only if
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The Effective Size of Fluctuating Populations
Theoretical Population Biology, 2001We consider a Wright-Fisher model whose population size is an autocorrelated stochastic process. Our interest is in the effects of autocorrelated fluctuations of the population size on the effective size. We define the inbreeding effective size and the variance effective size and show that these effective sizes are the same for this model.
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The Effect of Mutation on Population Size
Nature, 1973AFTER the work of Haldane1 and Muller2, much has been written about the genetic load caused by mutation. This mutational load had been defined as the fraction by which the mean fitness of a population subject to mutation differs from the fitness of the wild (non-mutant) genotype3. The operational definition of load is then
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Effective size of populations with overlapping generations
Theoretical Population Biology, 1972Abstract General formulae are derived for the effective sizes (numbers) of random mating populations of constant size and sex ratio with overlapping generations. They are found to equal the effective sizes of populations with discrete generations which have the same number of individuals entering the population each generation and the same variance ...
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Note on the Computation of Critical Effective Population Sizes
Journal of Computational Biology, 2007This work extends the work of Whitlock in examining the critical effective population sizes from the fixation of both deleterious and beneficial mutations under drift and selection to prevent mutation breakdown of the population. The validity of approximations for the probability of fixation depends on the nature of the assumed distribution for the ...
Liqing Zhang 0002, Layne T. Watson
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Genetic Effects of Population Size Reduction
Nature, 1968How far do accidental sampling errors in small populations influence their genetic make-up ? Detailed pedigrees of the population of Tristan da Cunha have been used to give an answer to this question.
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The effective population size of some age-structured populations
Mathematical Biosciences, 2000It was shown in a previous paper that if generations are discrete, then the effective population size of a large population can be derived from the theory of multitype branching processes. It turns out to be proportional to the reciprocal of a term that appears in the denominator of expressions for survival probabilities when there is a supercritical ...
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Effect of List Errors on the Estimation of Population Size
Biometrics, 2002Summary. In many situations, it is possible to estimate the size of a closed population if some members of the population are recorded on one or more administrative lists. An important example is estimating the prevalence of a disease, where some members of the disease population may be recorded on lists such as disease registries, hospital admission ...
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Variance effective population size
2022he effective population size is a widely used concept in conservation genetics and biology. It describes the size of an idealized population with the same genetic properties as the real population. Different measures of genetic drift lead to different effective population sizes where the chosen measure depends on contexts. Thus, there are many ways how
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On the concept of the effective population size
Theoretical Population Biology, 1982Abstract The concept of the effective population size is discussed. It is shown that the “eigenvalue” and the “inbreeding” effective population sizes are in principle different, even though they have been sometimes identified in the literature. On the other hand the “eigenvalue” and “variance” effective sizes are usually both close when the latter ...
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