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17 November, 09:06

The human MN blood type is determined by two codominant alleles, L (M) and L (N). The frequency of L (M) in Eskimos on a small Arctic island is 0.80.

(a) If random mating takes place in this population, what are the expected frequencies of the M, MN, and N blood types on the island?

(b) If the inbreeding coefficient for this population is 0.05, what are the expected frequencies of the M, MN, and N blood type on the island

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  1. 17 November, 11:14
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    (a) Frequency of M = 0.64

    Frequency of N = 0.04

    Frequency of MN = 0.32

    (b) Expected frequencies of M = 0.648

    Expected frequencies of MN = 0.304

    Expected frequencies of N = 0.048

    Explanation:

    (a) If random mating takes place in the population, then the expected frequencies are

    f (L (M)) = p = 0.8

    F (L (N)) = q

    q = 1 - p

    = 1 - 0.8

    = 0.2

    Frequency of M = p^2 = (0.8) ^2 = 0.64

    Frequency of N = q^2 = (1-p) ^2 = (1 - 0.8) ^2 = (0.2) ^2 = 0.04

    Frequency of MN = 2pq = 2 * 0.8 * 0.2 = 0.32

    (b)

    F = inbreeding coefficient = 0.05

    f (L (M) L (M)) = p^2 + Fpq = (0.8) ^2 + 0.05 * 0.8 * 0.2 = 0.648

    f (L (M) L (N)) = 2 pq - 2Fpq = 2 * 0.8 * 0.2 - (2 * 0.05 * 0.8 * 0.2) = 0.304

    f (L (N) L (N)) = q^2 + Fpq = (0.2) ^2 + (0.05 * 0.8 * 0.2) = 0.048
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