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Hardy-Weinberg equilibrium expected genotype counts and heterozygosity calculation. Use when computing expected genotype frequencies, expected heterozygosity, or observed heterozygosity from allele counts.
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| name | population-genetics |
| description | Hardy-Weinberg equilibrium expected genotype counts and heterozygosity calculation. Use when computing expected genotype frequencies, expected heterozygosity, or observed heterozygosity from allele counts. |
Given observed genotype counts (AA, Aa, aa), calculate expected genotype counts under Hardy-Weinberg equilibrium and compare heterozygosity.
For alleles A and a with frequencies p and q = 1 - p:
If genotype counts are given, compute allele frequencies first:
Then expected counts = N × genotype frequency.
# Read input: AA count, Aa count, aa count
with open("/root/input.txt") as f:
lines = f.read().strip().split("\n")
obs_AA = int(lines[0].strip())
obs_Aa = int(lines[1].strip())
obs_aa = int(lines[2].strip())
N = obs_AA + obs_Aa + obs_aa
# Compute allele frequencies
p = (2 * obs_AA + obs_Aa) / (2 * N)
q = 1.0 - p
# Expected genotype counts under HWE
exp_AA = N * p * p
exp_Aa = N * 2 * p * q
exp_aa = N * q * q
# Expected heterozygosity = 2 * p * q
exp_het = 2 * p * q
# Observed heterozygosity = Aa / N
obs_het = obs_Aa / N
# Output
with open("/root/output.txt", "w") as f:
f.write(f"Expected AA: {exp_AA:.4f}\n")
f.write(f"Expected Aa: {exp_Aa:.4f}\n")
f.write(f"Expected aa: {exp_aa:.4f}\n")
f.write(f"Expected heterozygosity: {exp_het:.4f}\n")
f.write(f"Observed heterozygosity: {obs_het:.4f}\n")
Expected AA: X
Expected Aa: X
Expected aa: X
Expected heterozygosity: X.XXXX
Observed heterozygosity: X.XXXX
Round to 4 decimal places.