Allele Counting Calculators

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Allele counting is the process of tabulating the number of each allele variant at a genetic locus across a sample of individuals. Because diploid organisms carry two alleles per locus, a sample of N individuals contains 2N alleles in total. Allele frequency = count of a specific allele / total allele count (2N). Allele counting is the foundation of population genetics — it provides the raw data for Hardy-Weinberg equilibrium tests, F-statistics, FST, and evolutionary analyses. Next-generation sequencing (NGS) allows allele counting at millions of SNP loci simultaneously across entire genomes.

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Allele Counting from Genotype Data

For diploid organisms: each individual contributes 2 alleles per locus. Sample of N individuals: 2N total alleles. Example: 50 individuals at a biallelic SNP (A/a): 12 AA; 26 Aa; 12 aa. Count of A allele: (12×2) + (26×1) = 24 + 26 = 50 copies. Count of a allele: (12×2) + (26×1) = 24 + 26 = 50 copies. Total alleles: 2 × 50 = 100. Allele frequencies: p(A) = 50/100 = 0.50; q(a) = 50/100 = 0.50.

Hardy-Weinberg Expected Genotype Frequencies

Expected: AA = p² = 0.25 (12.5 individuals); Aa = 2pq = 0.50 (25); aa = q² = 0.25 (12.5). Observed matches well → population in HWE.

Multiple Alleles

For multiallelic loci (k alleles): pᵢ = count of allele i / (2N). Σpᵢ = 1. Example: blood group ABO. Microsatellite loci: many alleles (5–20+); each allele counted separately.

NGS Allele Counting

Read depth at SNP locus: count reads carrying each allele. Allele frequency = reads with allele A / total reads. Error threshold: minimum allele frequency above sequencing error rate (~0.1–1% for Illumina).

Glossary

Allele Frequency
Count of a specific allele / total allele count (2N for diploids); p + q = 1 for biallelic loci; foundation of population genetics analyses including HWE, FST, and GWAS.
Hardy-Weinberg Equilibrium (HWE)
Expected genotype frequencies (AA = p², Aa = 2pq, aa = q²) in a randomly mating population with no evolutionary forces; tested by chi-square from observed vs. expected genotype counts.
Minor Allele Frequency (MAF)
Frequency of the less common allele at a biallelic locus; GWAS typically requires MAF ≥ 0.05; catalogued in gnomAD across global populations; used to classify variants as common, low-frequency, or rare.

Frequently Asked Questions

For diploid organisms each individual carries 2 alleles per locus. For N individuals: total alleles = 2N. Count each allele by multiplying genotype count by allele contribution: Homozygotes contribute 2 copies; heterozygotes contribute 1 copy. Example: 100 individuals; 36 AA; 48 Aa; 16 aa. Count of A: (36×2) + (48×1) = 72 + 48 = 120. Count of a: (16×2) + (48×1) = 32 + 48 = 80. Total: 120 + 80 = 200 = 2×100 ✓. Frequencies: p(A) = 120/200 = 0.60; q(a) = 80/200 = 0.40.

Hardy-Weinberg equilibrium (HWE) predicts genotype frequencies from allele frequencies in a randomly mating population with no selection, drift, mutation, or migration. Expected genotype frequencies: AA = p²; Aa = 2pq; aa = q². Chi-square test: H₀ = population is in HWE. χ² = Σ(O−E)²/E; df = 1 (for biallelic locus). Example: p = 0.60, q = 0.40, N = 100: Expected: AA = 36; Aa = 48; aa = 16. Observed: 30 AA; 60 Aa; 10 aa. χ² = (30−36)²/36 + (60−48)²/48 + (10−16)²/16 = 1.00 + 3.00 + 2.25 = 6.25. p < 0.05 → reject HWE → evidence of non-random mating or population structure.

In NGS data (from WGS or amplicon sequencing): sequence reads aligned to a reference genome; at each SNP position, reads are counted for each allele. Allele depth: number of reads carrying the reference allele (REF) and each alternate allele (ALT). Allele frequency (AF) = ALT count / total read depth. Example: at a SNP position, 23 reads show 'A' (REF) and 17 reads show 'T' (ALT): total depth = 40; AF(T) = 17/40 = 0.425. In tumor sequencing: AF < 0.50 for somatic mutations (due to tumor heterogeneity and normal cell contamination). In population studies: AF is used to call SNPs and calculate population genetics statistics.

Minor allele frequency (MAF) = the frequency of the less common (minor) allele at a biallelic locus. If p = 0.75 and q = 0.25: MAF = 0.25. Significance: GWAS (genome-wide association studies) typically require MAF ≥ 0.01 (1%) or ≥ 0.05 (5%) for statistical power — very rare variants require much larger samples to detect associations. Common variant: MAF ≥ 0.05. Low-frequency variant: 0.01 ≤ MAF < 0.05. Rare variant: MAF < 0.01. gnomAD database: catalogues allele frequencies at millions of SNP loci across diverse human populations — essential reference for variant interpretation in clinical genetics.