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General Selection Model





EQUATION


The General Selection Model is encapsulated by the equation:


\Delta q= rac{pq \big + p(W_1 - W_0)\big }{\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 Fitnessess 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, \big + p(W_1 - W_0)\big , refers to the mean effect of an allele substitution. In essence, this term quantifies what effect genetic changes will have on fitness.


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