Allele Frequency Calculator
Sum of allele frequencies is 1.
Formula first
Overview
This fundamental equation represents the total frequency of two alleles for a single gene locus within a population. It establishes that the sum of the proportions of the dominant allele (p) and the recessive allele (q) must always equal 1, representing 100 percent of the gene pool.
Symbols
Variables
p = Dom. Allele Freq, q = Rec. Allele Freq
Apply it well
When To Use
When to use: Apply this formula when analyzing a population with exactly two alleles for a specific trait. It is used as the first step in Hardy-Weinberg calculations to determine allele distribution before calculating genotype frequencies.
Why it matters: This relationship allows biologists to track evolutionary changes; if the sum of p and q shifts over generations, it indicates that forces like natural selection or genetic drift are acting on the population. It provides a mathematical baseline for the study of population genetics.
Avoid these traps
Common Mistakes
- Mixing p and q labels.
- Using 70 instead of 0.7.
- Applying to systems with more than two alleles (this only works for two-allele systems).
- Forgetting that this is a definition, not a calculation to verify.
One free problem
Practice Problem
In a population of fruit flies, the frequency of the dominant allele for normal wing shape (p) is determined to be 0.70. Calculate the frequency of the recessive vestigial wing allele (q).
Solve for:
Hint: Subtract the known frequency of the dominant allele from the total population frequency of 1.
The full worked solution stays in the interactive walkthrough.
References
Sources
- Wikipedia: Hardy-Weinberg principle
- Campbell Biology
- Essentials of Genetics by Klug, Cummings, Spencer, Palladino
- Campbell Biology (11th Edition)
- Wikipedia: Allele frequency
- Campbell Biology by Lisa A. Urry, Michael L. Cain, Steven A. Wasserman, Peter V. Minorsky, and Rebecca B. Orr
- Principles of Population Genetics by Daniel L. Hartl and Andrew G. Clark
- Hardy-Weinberg principle (Wikipedia article)