Using the counting method explained below, calculate the allele frequencies for the population: Calculate the frequency of the e allele. Do not leave answers as fractions. f(e) =
Understand the Problem
The question is asking us to calculate the allele frequency of the e allele in a given population of flies using the provided counting method. This will involve identifying the number of copies of the e allele in the different genotypes (ee and Ee), and then calculating the total frequency based on the total population size.
Answer
The allele frequency of the e allele is $f_e = \frac{N_e}{2 \times (N_{ee} + N_{Ee} + N_{EE})}$.
Answer for screen readers
The allele frequency of the e allele is $f_e = \frac{N_e}{2 \times (N_{ee} + N_{Ee} + N_{EE})}$.
Steps to Solve
- Determine the number of each genotype
Identify the number of flies in each genotype: ee, Ee, and EE. Let's say we have:
- $N_{ee}$ = number of homozygous recessive flies (ee)
- $N_{Ee}$ = number of heterozygous flies (Ee)
- $N_{EE}$ = number of homozygous dominant flies (EE)
- Calculate the total number of alleles
Since each fly has two alleles, the total number of alleles in the population is
$$ \text{Total alleles} = 2 \times (N_{ee} + N_{Ee} + N_{EE}) $$
- Count the copies of the e allele
Determine how many e alleles are present.
- Each ee fly contributes 2 e alleles
- Each Ee fly contributes 1 e allele
Thus, the total number of e alleles can be calculated as
$$ N_e = 2 \times N_{ee} + 1 \times N_{Ee} $$
- Calculate the allele frequency of the e allele
Finally, the frequency of the e allele, $f_e$, is calculated using the formula
$$ f_e = \frac{N_e}{\text{Total alleles}} $$
The allele frequency of the e allele is $f_e = \frac{N_e}{2 \times (N_{ee} + N_{Ee} + N_{EE})}$.
More Information
The allele frequency is important in understanding genetic variation within a population. It helps in studying population genetics and evolutionary biology. The calculations indicate how common a specific allele is compared to the rest in an entire population.
Tips
- Forgetting to multiply the number of genotypes by the number of alleles they contribute. For instance, not accounting for the fact that each ee contributes 2 alleles.
- Miscalculating the total count of flies or alleles, leading to incorrect frequency values.
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