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In population genetics, fixation is the change in a gene pool from a situation where there exists at least two variants of a particular gene in a given population to a situation where only one of the alleles remains. That is, the allele becomes fixed. [1]
These random fluctuations within the allele frequencies can lead to the fixation or loss of certain alleles within a population. To the right is an image that shows through successive generations; the allele frequencies fluctuate randomly within a population. The smaller the population size, the faster fixation or loss of alleles will occur.
In population genetics, F-statistics (also known as fixation indices) describe the statistically expected level of heterozygosity in a population; more specifically the expected degree of (usually) a reduction in heterozygosity when compared to Hardy–Weinberg expectation.
The fixation index (F ST) is a measure of population differentiation due to genetic structure. It is frequently estimated from genetic polymorphism data, such as single-nucleotide polymorphisms (SNP) or microsatellites. Developed as a special case of Wright's F-statistics, it is one of the most commonly used statistics in population genetics ...
Smaller populations achieve fixation faster, whereas in the limit of an infinite population, fixation is not achieved. Once an allele becomes fixed, genetic drift comes to a halt, and the allele frequency cannot change unless a new allele is introduced in the population via mutation or gene flow.
The probability that A reaches fixation is called fixation probability. For the simple Moran process this probability is x i = i / N . Since all individuals have the same fitness, they also have the same chance of becoming the ancestor of the whole population; this probability is 1 / N and thus the sum of all i probabilities ...
Andrew Lansing, a corrections officer at a prison in Chillicothe, Ohio, was killed Christmas Day in what state officials say was an "inmate assault."
The top graph shows the time to fixation for a population size of 10 and the bottom graph shows the time to fixation for a population of 100 individuals. As population decreases time to fixation for alleles increases. Conservationists are often worried about a loss of genetic variation in small populations. There are two types of genetic ...