One biallelic locus evolution of diploid populations: mutation, migration, selection, and drift
The frequencies of A (p) and a (q=1-p) depend on the mutation rate in both directions: p = (1-mu)*p + q*nu
Mutation rate A->a, mu:
Retro-mutation rate a->A, nu:
The frequencies of A (p) can increase as a funciton of the proportion of new migrants comprising the population (m) and the frequency of A in the source population (psource): (1-m)*p + m*psource
Migration rate of A from source population, m:
Allele frequency of A in source population, psource
Allele frequency of A based on relative fitness of the three genotypes. The equation is basically the relative fitness of all individuals carrying at least one A, divided by the total population fitness: ( wAA*p^2 + wAa*p*(1-p) ) / ( wAA*p^2 + wAa*2*p*(1-p) + waa*(1-p)^2 )
Relative fitness of AA: wAA
Relative fitness of Aa: wAa
Relative fitness of aa: waa
Drift is expressed as a proportion of individuals of all in the populations that survive the 'extinction by chance': N1 = d * N0
Drift coefficient: d
Initial population size: N0
Inbreeding is expressed as the proportion of genotypes that reproduce with themselves: example fAA = p^2 * (1-Fi) + p*Fi
Inbreeding coefficient: Fi
Initial allele frequency of A, p0:
Number of generations:
Number of independent loci evolving (replicates):