Hardy Weinberg Equation For Predicted Frequency Of Homozygous Dominant (AA) Type Calculator

Hardy Weinberg Equation:

\[ p^2 = 1 - (2pq) - (q^2) \]

Predicted Frequency of Homozygous Dominant (p²):

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1. What is the Hardy Weinberg Equation for Homozygous Dominant Frequency?

The Hardy Weinberg equation estimates genotype frequencies in a population under ideal conditions. For homozygous dominant (AA) genotypes, the frequency is calculated as p² = 1 - (2pq) - (q²), where 2pq represents heterozygous frequency and q² represents homozygous recessive frequency.

2. How Does the Calculator Work?

The calculator uses the Hardy Weinberg equation:

\[ p^2 = 1 - (2pq) - (q^2) \]

Where:

\( p^2 \) — Predicted frequency of homozygous dominant genotype (AA)
\( 2pq \) — Predicted frequency of heterozygous genotype (Aa)
\( q^2 \) — Predicted frequency of homozygous recessive genotype (aa)

Explanation: The equation maintains that the sum of all genotype frequencies in a population must equal 1, assuming the population is in Hardy Weinberg equilibrium.

3. Importance of Hardy Weinberg Principle

Details: The Hardy Weinberg principle provides a mathematical baseline for measuring evolutionary change in populations. It helps geneticists determine if evolutionary forces are acting on a population and quantify genetic variation.

4. Using the Calculator

Tips: Enter the predicted frequency of heterozygous individuals (2pq) and homozygous recessive individuals (q²). Both values must be between 0 and 1, and their sum must not exceed 1.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does the Hardy Weinberg principle make?
A: The principle assumes no mutation, no migration, large population size, random mating, and no natural selection.

Q2: When is the Hardy Weinberg equation not applicable?
A: The equation doesn't apply when evolutionary forces are acting on the population, such as natural selection, genetic drift, gene flow, or non-random mating.

Q3: How accurate are the predictions from this equation?
A: Predictions are accurate only for ideal populations in Hardy Weinberg equilibrium. Real populations often deviate due to evolutionary pressures.

Q4: Can this calculator be used for multiple alleles?
A: This specific calculator is designed for two-allele systems. Multi-allele systems require more complex equations.

Q5: What does it mean if p² + 2pq + q² ≠ 1?
A: If the sum doesn't equal 1, it indicates either calculation error or that the population is not in Hardy Weinberg equilibrium.