Equilibrium allele frequency

Allele frequencies will change each generation, eventually approaching and equilibrium value. Consider the frequency of allele A. A fraction (1- u) of these alleles do not mutate, while a fraction v of allele a mutate to A. Hence the change in allele frequency is: p(t 1) = (1- u)pt vqt = (1- u)pt v(1-p)t {expressing q in terms of p} = (1- u)pt v - vpt = pt(1 - u - v) v The change in the frequency of the A allele can be descrbed as p or p(t 1) - pt p = pt(1 - u - v) v - pt Mutation is at equilibrium when p = 0 (no change in allele frequency) So ... 0 = pt(1 - u - v) v - pt = pt - ptu - ptv v - pt = -ptu - ptv v ptu = - ptv v ptu ptv= v pt(u v) = v p at Equilibrum ( p(eq)) (the frequency of p (and hence q) at which allele frequency no longer changes) p(eq) = v/(u v) #genetics #populationGenetics #EquilibriumAlleleFrequency #mutation #Allele #AlleleFrequency