A wildflower native to California, the dwarf lupin (Lupinus nanus) normally bears blue flowers. Occasionally, plants with pink flowers are observed in wild populations. Flower color is controlled at a single locus, with the pink allele completely recessive to the blue allele. Harding (1970) counted several lupin populations in the California Coast Ranges. In one population of lupins at Spanish Flat, California, he found 25 pink flowers and 3291 blue flowers, for a total of 3316 flowers. Calculate the expected allele frequencies and genotype frequencies if the population were in Hardy-Weinberg equilibrium.

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luisvaschetto luisvaschetto · Answer 1 · 2020-10-13T22:08:33+02:00

Answer:

- Allele frequencies >> pink allele (b)= 0.0868 and blue allele (B) = 0.913

-Genotype frequencies >> bb = 0.00754; BB = 0.834 and Bb = 0.158

Explanation:

B: blue allele >>> p = frequency (B)

b: pink allele >>> q = frequency (b)

According to the Hardy-Weinberg equilibrium:

- The frequency of the bb genotype (q2) is equal to 25/3316 = 0.00754

Consequently, the frequency of the recessive pink allele (b) is equal to q = √(0.00754) = 0.0868

- The frequency of the dominant blue allele (B) is equal to p = 1 - q = 1 - 0.0868 = 0.913

- The frequency of the BB genotype (p²) is equal to (0.913)² = 0.834

- The frequency of the Bb genotype (2pq) is equal to 2 x 0.913 x 0.0868 = 0.158