Let the frequency of a particular allele in... | Agricultural Statistics

ICAR JRF Agricultural Statistics 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

Let the frequency of a particular allele in the donor and the recipient populations, in some initial generation, be pg and Po respectively. Also suppose that a proportion 'm’ of the genes in the recipient population are replaced in every generation by immigrants. Assuming random mating within the recipient population, the difference in the gene frequency between the donor and recepient populations after one generation of migration is

-M (Po - Pa) (1-m)? (Po- Pa) Correct (1.-m) (Po - Pa) 2-m (Po- Pa)

Effect of Migration on Allele Frequency:
Let $p_d$ be the allele frequency in the donor immigrant population, and $p_0$ be the frequency in the recipient resident population.
Suppose a proportion $m$ of genes in the recipient population is replaced by immigrants each generation.
Allele Frequency After One Generation ($p_1$):

$$p_1 = m p_d + (1 - m) p_0$$

Difference in Allele Frequency Between Recipient and Donor After One Generation:

$$p_1 - p_d = m p_d + (1 - m) p_0 - p_d = (1 - m)(p_0 - p_d)$$

After $t$ Generations of Continued Migration:

$$p_t - p_d = (1 - m)^t (p_0 - p_d)$$

For two generations, the expression becomes $(1 - m)^2 (p_0 - p_d)$.
Conclusion: Matches $(1 - m)^2 (p_0 - p_d)$ (Option 2).

Correct option: (2) (1-m)? (Po- Pa)

Explanation not matching this question? क्या व्याख्या इस प्रश्न से मेल नहीं खा रही? Report

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