General selection model

The General Selection Model (GSM) is a model of population genetics that describes how a population's genotype will change when acted upon by natural selection.

Equation

The General Selection Model is encapsulated by the equation:
$Delta q=frac{pq ig [q(W_2-W_1) + p(W_1 - W_0)ig ] }{overline{W$ :where:

:: $p$ is the frequency of the dominant gene:: $q$ is the frequency of the recessive gene:: $Delta q$ is the rate of evolutionary change of the frequency of the recessive gene:: $W_0,W_1, W_2$ are the relative fitnesses of homozygous dominant, heterozygous, and homozygous recessive genotypes respectively. :: $overline{W}$ is the mean population relative fitness.

In words:

The product of the relative frequencies, $pq$ , is a measure of the genetic variance. The quantity pq is maximized when there is an equal frequency of each gene, when $p=q$ . In the GSM, the rate of change $Delta Q$ is proportional to the genetic variation.

The mean population fitness $overline{W}$ is a measure of the overall fitness of the population. In the GSM, the rate of change $Delta Q$ is inversely proportional to the mean fitness $overline{W}$ -- i.e. when the population is maximally fit, no further change can occur.

The remainder of the equation, $ig [q(W_2-W_1) + p(W_1 - W_0)ig ]$ , refers to the mean effect of an allele substitution. In essence, this term quantifies what effect genetic changes will have on fitness.

ee also

*Darwinian Fitness
*Hardy-Weinberg principle
*Population genetics

External links

* [http://www.mun.ca/biology/scarr/2900_GSM_derivation.htm Derivation of the General Selection Model]
* [http://bio.research.ucsc.edu/~barrylab/Shawn/Biology%20175/Homework%20Answer%20Key%202005.pdf Population Genetics Homework] (pdf)

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