In a population of certain moths in which the allele for brown wings is dominant to the allele for green wings, a drought leads to selection against the green-winged moths. When the drought ends, 21% of the remaining moths exhibit the green-winged phenotype. If the population is now in Hardy-Weinberg equilibrium, what will be the frequency of the green-winged allele in the next generation

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Answer:

Tthe frequency of the green-winged allele in the next generation will be 46%

Explanation:

For a trait controlled by a pair of alleles A and a in a given population of organisms, the Hardy-Weinberg equilibrium equation is given as:

p² + 2pq + q² = 1; also p + q = 1

Where, p² gives the frequency of h0m0zygous dominant (AA) individuals in a population, 2pq gives the frequency of heterozygous (Aa) individuals, and q² gives the frequency of h0m0zygous recessive (aa) individuals. Also, p gives the frequency of the dominant allele and q is the frequency of the recessive allele in the given population.

In the given population of moths, the green-winged allele is recessive while the brown-winged allele is dominant. When a Hardy-Weinberg equilibrium is established, the frequency of moth h0m0zygous for the recessive allele in the population is 21%.

This means that, q² = 21% = 0.21

The frequency of the green-winged (recessive) allele is q.

Since q² = 0.21

q = √0.21

q = 0.46 = 46%

Therefore, the frequency of the green-winged allele in the next generation will be 46%

The frequency of the green-winged allele in the next generation will be 46%.

If the population is now in Hardy-Weinberg equilibrium, what will be the frequency of the green-winged allele in the next generation using the given information.

that, q² = 21% = 0.21

The frequency of the green-winged (recessive) allele is q.

Since q² = 0.21

q = √0.21

q = 0.46 = 46%

What is the Hardy-Weinberg equilibrium explained?

The Hardy-Weinberg equilibrium is a principle saying that the genetic variation in a population will remain consistent from one generation to the next in the absence of disturbing factors.

Thus, the frequency of the green-winged allele in the next generation will be 46%

To learn more about Hardy-Weinberg equilibrium click here:

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