User:Evercat/Genetics

Abbreviations

 * w : fitness
 * s : selection coefficient = 1 - w
 * p : frequency of allele A
 * q : frequency of allele a
 * F : inbreeding coefficient

Hardy-Weinberg
Genotype frequences and allele frequences:


 * AA: p2
 * Aa: 2pq
 * aa: q2

p + q = 1

Heterozygote advantage equilibrium
Fitnesses:


 * AA: 1 - S1
 * Aa: 1
 * aa: 1 - S2

$$ q = \frac{S_1}{S_1 + S_2} $$

Recurrent mutation equilibrium


q = \sqrt{\frac{\mu}{s}} $$

Where &mu; is the rate at which deleterious alleles are generated and s is the selection coefficient for the mutant homozygote.

Inbreeding coefficient


F = 1 - \frac{H_\mbox{obs}}{2pq} $$

Where Hobs is the observed heterozygote frequency, which will be less than the H-W expected frequency 2pq.

Population identity (I) and population distance (D)
Select some locus and work out the chance of sampling the same allele in both populations.

Population distance (D) = 1 - I