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Home Q & A Board Biology-Related Homework Help Genetics and Developmental Biology
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hihihihihihi hihihihihihi
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6 years ago
Show algebraically that under Hardy-Weinberg equilibrium, allele frequencies will not change from one generation to another.
 
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6 years ago
The demonstration is simple. Following allele p, start with the Hardy-Weinberg genotypic frequencies p2 + 2pq + q2. The proportion of genotypes contributing p to the next generation is: (p2 + pq) / (p2 + 2pq + q2). p is transmitted via genotype p2 and one-half the frequency of the 2pq individuals, or p2 + pq. Rewriting p2 as p(1 - q) enables us reduce this to simply p as follows: p2 + pq = p(1 - q) + pq = p - pq + pq = p. This means that the allele is transmitted to the next generation at frequency p, unchanged.
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