If the initial allele frequencies are p = 0.75 and q =0.25 and the a allele is a
ID: 32244 • Letter: I
Question
If the initial allele frequencies are p = 0.75 and q =0.25 and the a allele is a lethal recessive, what will be the frequency of the a allele in the future? Use the following equation:
qn=q01+nq0
where qn = the new gene frequency, q0 = the initial gene frequency, and n = the number of generations.
A) What will be the frequency of the a allele after 1 generation?
Round your answer to four decimal places.
B) What will be the frequency of the a allele after 5 generations?
Round your answer to four decimal places.
C)10 generations
D) 25 generations
E) 100 generations
F) 1000 generations
please show me how to use this equation to solve these questions
Explanation / Answer
p = 0.75 and q =0.25
qn=q01+nq0
where qn = the new gene frequency, q0 = the initial gene frequency, and n = the number of generations
A)
If n = 1, then qn=q01+nq0
Substituting the given values in the above equation
q01 = 0.25, nq0 = 1X0.25 = 0.25
qn = 0.25 + 0.25 = 0.50. Hence, the allele frequency after 1 generation is 0.50.
B)
q01 = 0.25, nq0 = 5X0.25 = 1.25
qn = 0.25 + 1.25 = 1.50. Hence, the allele frequencu after 5 generations is 1.50
C)
q01 = 0.25, nq0 = 10X0.25 = 2.5
qn = 0.25 + 2.5 = 2.75. Hence, the allele frequency after 10 generations is 2.75.
D)
q01 = 0.25, nq0 = 25X0.25 = 6.25
qn = 0.25 + 6.25 = 6.50. Hence, the allele frequency after 25 generations is 6.50
E)
q01 = 0.25, nq0 = 100X0.25 = 25
qn = 0.25 + 25 = 25.25. Hence, the allele frequency after 100 generations is 25.25
F)
q01 = 0.25, nq0 = 1000X0.25 = 250
qn = 0.25 + 250 = 250.25. Hence, the allele frequency after 1000 generations is 250.25