Equilibria and dynamics of selection at a diallelic autosomal locus in the Nagylaki-Crow continuous model of a monoecious population with random mating

1993 ◽  
Vol 31 (6) ◽  
pp. 601-609 ◽  
Author(s):  
Joseph M. Szucs
Keyword(s):  
Random Mating ◽  
Continuous Model ◽  
Autosomal Locus ◽  
Monoecious Population

A Misconception About the Hardy–Weinberg Law

2021 ◽  
pp. 1-3
Author(s):  
Alan E. Stark
Keyword(s):  
Population Genetics ◽  
Mating System ◽  
Random Mating ◽  
Autosomal Locus ◽  
Weinberg Equilibrium ◽  
Numerical Example ◽  
Genotypic Distribution ◽  
Hardy Weinberg Equilibrium

Abstract The Hardy–Weinberg law of population genetics is usually associated with the notion of random mating of parents. A numerical example for a triallelic autosomal locus shows that an uncountable set of mating combinations can maintain Hardy–Weinberg proportions. Therefore, one cannot infer random mating in a population from the observation of Hardy–Weinberg equilibrium. The mating system which ensures that the genotypic distribution of offspring is the same as that of the parents is specified.

Genetic drift with polygamy and arbitrary offspring distribution

1974 ◽  
Vol 11 (04) ◽  
pp. 633-641
Author(s):  
C. Cannings
Keyword(s):  
Genetic Drift ◽  
Mating Systems ◽  
Random Mating ◽  
Female Offspring ◽  
Autosomal Locus ◽  
Fixed Size ◽  
Expected Number ◽  
Diploid Population ◽  
Male And Female ◽  
Sib Mating

The rate of genetic drift at an autosomal locus for a bisexual, diploid population of fixed size is studied. The generations are non-overlapping. The model encompasses a variety of mating systems, including random monogamy, random polygamy in one sex and random mating. The rate of drift is shown for several models to depend on the expected number of parents that two randomly selected individuals have in common. The male and female offspring are assigned to families in a fairly general way, which permits the study of a model in which each family has offspring of one sex only. The equation arising in this last case is identical to one of Jacquard for a system in which sib-mating is excluded.

Pseudo-Random Mating with Multiple Alleles

2021 ◽  
Vol 24 (4) ◽  
pp. 200-203
Author(s):  
Alan E. Stark
Keyword(s):  
Blood Group ◽  
Stable Equilibrium ◽  
Random Mating ◽  
Abo Blood Group ◽  
Autosomal Locus ◽  
Multiple Alleles ◽  
Nonrandom Mating

AbstractThe conditions on the mating matrix associated with a stable equilibrium are specified for an autosomal locus with four alleles. An example illustrates how Hardy–Weinberg proportions are maintained with nonrandom mating. The ABO blood group provides an illustration.

A continuous model for the study of linkage in a random-mating population

1974 ◽  
Vol 5 (2) ◽  
pp. 251-256
Author(s):  
Bernard Planchet
Keyword(s):  
Random Mating ◽  
Continuous Model ◽  
Random Mating Population ◽  
Mating Population

Coalescent theory for a completely random mating monoecious population

2007 ◽  
Vol 205 (2) ◽  
pp. 315-324 ◽  
Author(s):  
Edward Pollak
Keyword(s):  
Random Mating ◽  
Coalescent Theory ◽  
Monoecious Population

scholarly journals Deviations from Hardy–Weinberg proportions for multiple alleles under viability selection

2008 ◽  
Vol 90 (2) ◽  
pp. 209-216 ◽  
Author(s):  
GONZALO ALVAREZ
Keyword(s):  
Stable Equilibrium ◽  
Random Mating ◽  
Published Data ◽  
Human Populations ◽  
Autosomal Locus ◽  
Allele Polymorphism ◽  
Multiple Alleles ◽  
Viability Selection ◽  
Genotype Frequencies ◽  
Fixation Indices

SummaryDepartures of genotype frequencies from Hardy–Weinberg proportions (HWP) for a single autosomal locus due to viability selection in a random mating population have been studied only for the two-allele case. In this article, the analysis of deviations from HWP due to constant viability selection is extended to multiple alleles. The deviations for an autosomal locus with k alleles are measured by means of k fii fixation indices for homozygotes and k(k−1)/2 fij fixation indices for heterozygotes, and expressions are obtained for these indices (FIS statistics) under the multiallele viability model. Furthermore, expressions for fii and fij when the multiallele polymorphism is at stable equilibrium are also derived and it is demonstrated that the pattern of multiallele Hardy–Weinberg deviations at equilibrium is characterized by a global heterozygote excess and a deficiency of each of the homozygotes. This pattern may be useful for detecting whether a given multiallelic polymorphism is at stable equilibrium in the population due to viability selection. An analysis of Hardy–Weinberg deviations from published data for the three-allele polymorphism at the β-globin locus in human populations from West Africa is presented for illustration.

scholarly journals Pseudo-random mating populations. In celebration of the 80th anniversary of the Hardy-Weinberg law.

Genetics ◽  
1988 ◽  
Vol 119 (3) ◽  
pp. 731-737
Author(s):  
C C Li
Keyword(s):  
Random Mating ◽  
Sufficient Condition ◽  
Autosomal Locus ◽  
Multiple Alleles ◽  
Nonrandom Mating ◽  
80Th Anniversary ◽  
Basic Case ◽  
Offspring Generation

Abstract That random mating leads to Hardy-Weinberg distribution of genotypes is well known. This report is to show that, if the deviations from random mating are of a certain pattern, the offspring generation will also be in Hardy-Weinberg proportions. This brings out the fact that random mating is a sufficient condition, not a necessary one, for the attainment of the Hardy-Weinberg proportions. Such nonrandom-mating populations are tentatively said to be pseudo-random mating. Pseudo-random-mating populations exist for both autosomal and sex-linked systems with two or multiple alleles. This report covers the basic case of a two-allele autosomal locus in detail, but the possible extension to two loci and cytonuclear systems have also been mentioned in discussion.

Genetic drift with polygamy and arbitrary offspring distribution

1974 ◽  
Vol 11 (4) ◽  
pp. 633-641 ◽  
Author(s):  
C. Cannings
Keyword(s):  
Genetic Drift ◽  
Mating Systems ◽  
Random Mating ◽  
Female Offspring ◽  
Autosomal Locus ◽  
Fixed Size ◽  
Expected Number ◽  
Diploid Population ◽  
Male And Female ◽  
Sib Mating

The rate of genetic drift at an autosomal locus for a bisexual, diploid population of fixed size is studied. The generations are non-overlapping. The model encompasses a variety of mating systems, including random monogamy, random polygamy in one sex and random mating. The rate of drift is shown for several models to depend on the expected number of parents that two randomly selected individuals have in common. The male and female offspring are assigned to families in a fairly general way, which permits the study of a model in which each family has offspring of one sex only. The equation arising in this last case is identical to one of Jacquard for a system in which sib-mating is excluded.

Numerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion

2005 ◽  
Vol 10 (4) ◽  
pp. 365-381 ◽  
Author(s):  
Š. Repšys ◽  
V. Skakauskas
Keyword(s):  
Population Dynamics ◽  
Numerical Analysis ◽  
Population Model ◽  
Local Stability ◽  
Deterministic Model ◽  
Random Mating ◽  
Spatial Diffusion ◽  
Neumann Problems ◽  
Structured Population ◽  
Structured Population Dynamics

We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.

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