a) What would be the average number of alleles retained at the end of this bottl

Question

a) What would be the average number of alleles retained at the end of this bottleneck? b) What percentage of quantitative genetic variance do we expect to be left if this population remains in this bottleneck for 8 generations?
1. DISAPPEARING DIVERSITY! (4 pts) Genetic surveys were done on a population of pandas in China in 2017. Six different alleles were detected for a microsatellite locus at the following frequencies: 0.50, 0.23, 0.15, 0.07, 0.03, and 0.02. The effective population size of the panda population was estimated at an all-time low of 15. A. What would be the average number of alleles retained at the end of this bottleneck? B. What percentage of quantitative genetic variance do we expect to be left if this population remains in this bottleneck for 8 generations?

Explanation / Answer

1. The total number of alleles present in the population 6

The effective population size after bottle neck= 15

Expected heterozygosity after a bottleneck lasting a single generation will be 1-1/2N

NUMBER OF ALLELES FOLLOWING AFTER A BOTTLENECK WILL BE

E(n')=n- E(1-PJ)2N where E= summision from

n'= number of alleles after a bottleneck

PJ is the frequency of the j th alllele

When all allleles are retained A=1

when only one allele is retained A=0

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