Question

Let A and a be the alleles at a locus l in a population evolving
with inﬁnite, non-overlapping

generations. Assume that the probability an AA child survives to
reproductive maturity is

0.8; for genotype Aa assume this probability is 0.6 and for
genotype aa it is 0.7. Let f_{A}(t)

denote the frequency of A among the newborns of generation t. The
population at birth in

generation 0 is in Hardy-Weinberg equilibrium with f_{A}(0)
= 0.4.

(a) What is the probability that a child of generation 0 is Aa
given that it survives to

reproductive maturity?

(b) What is the probability that a randomly selected individual
from generation 0 passes

A to an oﬀspring?

(c) What is the lim _{t→∞} f_{A}(t)? Hint: look at
the survivorships of the genotypes.

Answer #1

Consider a single locus in a population with 4 alleles with
frequencies 0.4, 0.25, 0.15, 0.2.
The genotypes are in Hardy-Weinberg equilibrium. What is the
current heterozygosity in the
population? If the population size is 100, what will the
heterozygosity be after 10 generations?
If the generation time is 20 years, how long will it take for
the heterozygosity to be reduced by
half?

1. There are two alleles at a locus: A and P. Assume these two
alleles are in Hardy-Weinberg equilibrium. Assume also that Allele
P has a frequency of exactly 1% in the population. Given this
information, what is the frequency of AP heterozygotes in the
population?
2. You are studying an allele A that governs parasite resistance
in a large population of rabbits.
You observe that different combinations of A and a produce
phenotypes that have different fitnesses due to...

Consider a racoon population that exhibits variation at the G
locus, which has two possible alleles: G1 and
G2. The population starts out at Hardy Weinberg
Equilibrium and the frequency of the G1 allele in the
original population is 0.3. The relative fitness of each genotype
during this generation is listed below. Use information to answer
the following questions.
w11 = 0.8
w12 = 1.0
w22 = 0.5
Calculate the average fitness for the population.
Calculate the genotype frequencies in...

A hypothetical population ofcats has two alleles, TL
and TS, for a gene that codes for tail length. The
allele frequency of TL is 0.7 and the allele frequency
of TS is 0.3.
TLTL individuals have long tails.
TLTS individuals have medium tails.
TSTS individuals have short tails.
The equation for Hardy-Weinberg equilibrium states that at a
locus with two alleles, as in this cat population, the three
genotypes will occur in specific proportions, described by the
equation p2 +...

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