Question

A wildflower native to California, the dwarf lupin (Lupinus nanus) normally bears blue flowers but occasionally bears pink flowers. Flower color is controlled by a single diploid locus, with the blue allele (B) completely dominant over the pink allele (b). In a wild population of lupins, there are 43 pink lupins and 3,398 blue lupins, for a total of 3,441.

Answer 1

Answer:

3):

$\rightarrow$Mean relative fitness ($\overline{w}$) = p² (w_BB) + 2pq (w_Bb) + q² (w_bb)

= (0.87765 x 0.87765 x 1) + (2 x 0.87765 x 0.12235 x 1) + (0.12235 x 0.12235 x 0.667)

= 0.77027 + 0.21476 + 0.00998 = 0.99501

$\rightarrow$Genotype frequencies will change to after one round of selection-

BB = (0.87765 x 0.87765 x 1) / 0.99501 = 0.774 (up to three significant figures)

Bb = (2 x 0.87765 x 0.12235 x 1) / 0.99501 = 0.216 (up to three significant figures)

bb = (0.12235 x 0.12235 x 0.667) / 0.99501 = 0.010 (up to three significant figures)

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