11. SEVEN POINTS. A wildflower native to California, the dwarf lupin (Lupinus na
ID: 100043 • Letter: 1
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11. SEVEN POINTS. A wildflower native to California, the dwarf lupin (Lupinus nanus) normally bears blue flowers. Occasionally, plants with pink flowers are observed. Flower color is controlled at a single le completely recessive tot opulation of lupins at Spanish Flat, California, you populations in the California Coast Ranges. In one p find 154 pink flowers and 3291 blue flowers. Use the letter B for the blue phenotype and the letter b for the pink phenotype (2 points) Calculate the expected allele frequencies and genotype frequencies if the population were in Hardy-Weinberg equilibrium a)Explanation / Answer
11) a. In order to calculate the allele frequencies, lets assume,
1. There were no selection.
2. There were no mutation in the generations
3. Large poupulation was taken.
B: is the blue flower(Dominant)
b: is the pink flower (Recessive)
Bb bb
Lets take,
p= f (B) = 1/4 =0.25= 25%
q= f(b) = 3/4= 0.75=75%
As per Hardy- Weinberg equation:
Assume p + q = 1 ( probability of a dominant in the poulation and probabillity of a recessive in the poulation is 100%)
by squaring both the sides we get,
(p+q)2 = (1)2
p2 + 2pq + q2 = 1------ Hardy- Weinberg
Now Probability of p as homozygous BB
Probability of q as homozygous bb
Probabaility of p*q or q*p as hetrozygotes Bb Bb
so therefore the genotypic frequency turns out to be
BB 2Bb bb
1; 2 : 1
So therefore by summing up the that equation to 100% it gives you the allelic frquency.
(b) Second question,
In order to calculate the relative fitness.
As the chances of survival rate of Blue flowers is 75%
so therefore the relative fitness will be calculated absolute to the blue flowers
W(BB) or W(Bb) : As the relative fitness for blue homozygote and hetrozygote = 75/ 75= 1
W (bb) : as the relative fitness for pink homozygote recessive= 5/75 = 0.06
(c) Nwxt generation of lupins can be calculated as per the heterozygote Bb or homozygotes BB/ bb
By calculating the F3 generation and knowing the allele frequencies it can be calculated.
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