scholarly journals Match probabilities in a finite, subdivided population

2011 ◽  
Vol 79 (3) ◽  
pp. 55-63
Author(s):  
Anna-Sapfo Malaspinas ◽  
Montgomery Slatkin ◽  
Yun S. Song
Keyword(s):  
Subdivided Population

scholarly journals Selection, Subdivision and Extinction and Recolonization

Genetics ◽  
2004 ◽  
Vol 166 (2) ◽  
pp. 1105-1114 ◽  
Author(s):  
Joshua L Cherry
Keyword(s):  
Frequency Dependence ◽  
Allele Frequency ◽  
Deleterious Alleles ◽  
Subdivided Population ◽  
Theoretical Predictions ◽  
Subdivided Populations ◽  
Fixation Probabilities ◽  
Selection Parameters ◽  
To Come ◽  
Do So

Abstract In a subdivided population, the interaction between natural selection and stochastic change in allele frequency is affected by the occurrence of local extinction and subsequent recolonization. The relative importance of selection can be diminished by this additional source of stochastic change in allele frequency. Results are presented for subdivided populations with extinction and recolonization where there is more than one founding allele after extinction, where these may tend to come from the same source deme, where the number of founding alleles is variable or the founders make unequal contributions, and where there is dominance for fitness or local frequency dependence. The behavior of a selected allele in a subdivided population is in all these situations approximately the same as that of an allele with different selection parameters in an unstructured population with a different size. The magnitude of the quantity Nese, which determines fixation probability in the case of genic selection, is always decreased by extinction and recolonization, so that deleterious alleles are more likely to fix and advantageous alleles less likely to do so. The importance of dominance or frequency dependence is also altered by extinction and recolonization. Computer simulations confirm that the theoretical predictions of both fixation probabilities and mean times to fixation are good approximations.

scholarly journals Selection, Load and Inbreeding Depression in a Large Metapopulation

Genetics ◽  
2002 ◽  
Vol 160 (3) ◽  
pp. 1191-1202 ◽  
Author(s):  
Michael C Whitlock
Keyword(s):  
Population Structure ◽  
Inbreeding Depression ◽  
Population Subdivision ◽  
Response To Selection ◽  
Mutation Load ◽  
Deleterious Alleles ◽  
Subdivided Population ◽  
Soft Selection ◽  
Mean Fitness ◽  
The Mean

Abstract The subdivision of a species into local populations causes its response to selection to change, even if selection is uniform across space. Population structure increases the frequency of homozygotes and therefore makes selection on homozygous effects more effective. However, population subdivision can increase the probability of competition among relatives, which may reduce the efficacy of selection. As a result, the response to selection can be either increased or decreased in a subdivided population relative to an undivided one, depending on the dominance coefficient FST and whether selection is hard or soft. Realistic levels of population structure tend to reduce the mean frequency of deleterious alleles. The mutation load tends to be decreased in a subdivided population for recessive alleles, as does the expected inbreeding depression. The magnitude of the effects of population subdivision tends to be greatest in species with hard selection rather than soft selection. Population structure can play an important role in determining the mean fitness of populations at equilibrium between mutation and selection.

Phenotypic plasticity and character differentiation in a subdivided population ofIris pumila (Iridaceae)

1990 ◽  
Vol 170 (1-2) ◽  
pp. 1-9 ◽  
Author(s):  
Branka Tucić ◽  
A. Tarasjev ◽  
S. Vujčić ◽  
S. Milojković ◽  
N. Tucić
Keyword(s):  
Phenotypic Plasticity ◽  
Subdivided Population

Inference from Gene Trees in a Subdivided Population

2000 ◽  
Vol 57 (2) ◽  
pp. 79-95 ◽  
Author(s):  
M. Bahlo ◽  
R.C. Griffiths
Keyword(s):  
Gene Trees ◽  
Subdivided Population

On random genetic drift in a subdivided population

1968 ◽  
Vol 5 (02) ◽  
pp. 314-333
Author(s):  
Edward Pollak
Keyword(s):  
Random Sampling ◽  
Joint Distribution ◽  
The Other ◽  
Small Positive Number ◽  
List Type ◽  
Type Number ◽  
Random Genetic Drift ◽  
Subdivided Population ◽  
Haploid Population ◽  
The Mean

Summary Generations are assumed to be non-overlapping. We consider a haploid population divided into K parts, each of which contain N adults in any generation. These are obtained by a random sampling of the offspring of the previous generation. We assume that the probability of an adult offspring of an individual in one subpopulation being in some other subpopulation is the same small positive number, no matter what two subpopulations are considered. If the population initially has individuals of two types, A and a, it is of interest to study approximations, if n is large, to (1) the rate at which A or a is lost between generations n-1 and n, (2) the probability that A and a are still present in generation n, (3) the joint distribution of frequencies of A in the subpopulations. A solution is given for the first problem. It is found that if the mean number of migrants per generation from one subpopulation to another is at least as large as 1, the population behaves almost as if it were not subdivided. But if this number is considerably less that 1, then the rate at which one or the other gene is lost is slower than in an undivided population. The other two problems are discussed for K = 2.

On random genetic drift in a subdivided population

1968 ◽  
Vol 5 (2) ◽  
pp. 314-333 ◽  
Author(s):  
Edward Pollak
Keyword(s):  
Random Sampling ◽  
Joint Distribution ◽  
The Other ◽  
Small Positive Number ◽  
List Type ◽  
Type Number ◽  
Random Genetic Drift ◽  
Subdivided Population ◽  
Haploid Population ◽  
The Mean

SummaryGenerations are assumed to be non-overlapping. We consider a haploid population divided into K parts, each of which contain N adults in any generation. These are obtained by a random sampling of the offspring of the previous generation. We assume that the probability of an adult offspring of an individual in one subpopulation being in some other subpopulation is the same small positive number, no matter what two subpopulations are considered.If the population initially has individuals of two types, A and a, it is of interest to study approximations, if n is large, to (1)the rate at which A or a is lost between generations n-1 and n,(2)the probability that A and a are still present in generation n,(3)the joint distribution of frequencies of A in the subpopulations.A solution is given for the first problem. It is found that if the mean number of migrants per generation from one subpopulation to another is at least as large as 1, the population behaves almost as if it were not subdivided. But if this number is considerably less that 1, then the rate at which one or the other gene is lost is slower than in an undivided population. The other two problems are discussed for K = 2.

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