Final answer:
The frequency of the recessive allele 'g' is determined by calculating the total number of 'g' alleles (twice the number of gg individuals plus the Gg individuals) and dividing that by the total number of alleles in the population.
Step-by-step explanation:
To find the frequency of the recessive allele in a population where green scales (dominant) are represented by 'G' and blue scales (recessive) are represented by 'g', we can use the Hardy-Weinberg principle. Given that there are 1,024 GG individuals, 512 Gg individuals, and 64 gg individuals, we can calculate the allele frequencies. First, we determine the total number of alleles by multiplying the number of individuals by 2 (each individual has two alleles): (1,024 + 512 + 64) * 2.
Next, we calculate the number of 'g' alleles, which is twice the number of gg individuals plus the number of Gg individuals, since each gg individual has two 'g' alleles and each Gg individual has one. So, the number of 'g' alleles is (2 * 64) + 512. We then divide this number by the total number of alleles to find the frequency of the recessive 'g' allele.