F
H
N
t
Autozygous (F):
Allozygous (1 - F):
Generational increase in frequency of homozygotes in a selfing population:
Effects of inbreeding:
Hardy Weinburg Equilibrium:
- p + q = 1
Homozygous:
A1A1 = p squared (1 - F) + pF
Heterozygous:
A1A2 = 2pq (1-F)
Calculating F from observed genotype frequencies:
A1A2 = 2pq (1-F)
Reduction in heterozygosity is a convenient measure of the effect of inbreeding in a population:
Can we predict how fast F increase and H decrease over time in a finite population?
-
Ft = 1 - [1-1/2N] t the power t (1-Fo)
F = Level of inbreeding in generation t N = Population size t = Generation o = Level of inbreeding in the base population
Ht = Ho [1-1/2N] to the power t
Ht = heterozygosity in generation t Ho = Heterozygosity in the base population t = generation N = population size
From generation t to t+1, there are 2 ways to get alleles IBD
Increase in inbreeding (F) over time in finite populations:
Ft = 1 [1 - 1/2N]to the power t
Decrease in heterozygosity over time in finite populations:
Ht = Ho [1-1/2N] to the power t