An endangered bird Kakapo only 154 individuals were known to

An endangered bird (Kakapo), only 154 individuals were known to exist on only three islands. A breeding program is currently being used so that at least one viable, self-sustaining population can be created

Locus SH1   N
135/135        13
135/137         8
135/139         1
137/137        27
137/139        10
139/139         21

a) Based on the microsatellite genotypes above. What is the inbreeding coefficient of this population?
b) What are the predicted genotype frequencies in the next generation assuming the same deviation from Hardy–Weinberg observed in part a)?

Solution

a) the formula for calculating inbreeding coefiicient is:

f = (1/2) ^ N1 + (1/2) ^ N2 + (1/2) ^ N3 +.......... + (1/2)^ Nn

therefore for this population, the formula becomes :

(1/2) ^ 13 + (1/2) ^ 8 + (1/2) ^1 + (1/2)^ 27 + (1/2) ^10 + (1/2) ^ 21

which when we calculate is roughly equal to 0.505 or 0.5 so that would be the inbreeding coefficient for this population.