Narrow Heritability Using Breeder's Equation Calculator

Narrow Sense Heritability Formula:

\[ h^2 = \frac{\text{var}(AAa, AAA, Aaa)}{\text{var}(Paa, PAA, Aa)} \]

Additive Genetic of (Aa) Allele:

Additive Genetic of Allele (AA):

Additive Genetic of (aa) Allele:

Phenotype of (aa) Allele:

Phenotype of (AA) Allele:

Phenotype of (Aa) Allele:

Narrow Sense Heritability (h²):

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1. What is Narrow Sense Heritability?

Narrow Sense Heritability is defined as the fraction of phenotypic variance that can be attributed to variation in the additive effects of genes. It represents the proportion of phenotypic variation that is due to additive genetic variance.

2. How Does the Calculator Work?

The calculator uses the Breeder's equation:

\[ h^2 = \frac{\text{var}(AAa, AAA, Aaa)}{\text{var}(Paa, PAA, Aa)} \]

Where:

\( AAa \) — Additive Genetic of (Aa) Allele
\( AAA \) — Additive Genetic of Allele (AA)
\( Aaa \) — Additive Genetic of (aa) Allele
\( Paa \) — Phenotype of (aa) Allele
\( PAA \) — Phenotype of (AA) Allele
\( Aa \) — Phenotype of (Aa) Allele

Explanation: The equation calculates the ratio of additive genetic variance to total phenotypic variance, providing a measure of how much of the phenotypic variation is due to additive genetic effects.

3. Importance of Narrow Sense Heritability

Details: Narrow sense heritability is crucial in breeding programs and evolutionary biology as it predicts the response to selection and helps understand the genetic architecture of traits.

4. Using the Calculator

Tips: Enter the additive genetic values for Aa, AA, and aa alleles, and the corresponding phenotype values. All values must be valid numerical inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between narrow and broad sense heritability?
A: Narrow sense heritability includes only additive genetic variance, while broad sense heritability includes all genetic variance (additive, dominance, and epistatic).

Q2: What are typical values for narrow sense heritability?
A: Values range from 0 to 1. Higher values indicate that additive genetic effects contribute more to phenotypic variation.

Q3: How is narrow sense heritability used in animal breeding?
A: It helps predict response to selection and is used to design breeding programs for genetic improvement.

Q4: What factors can affect narrow sense heritability estimates?
A: Environmental factors, measurement error, and gene-environment interactions can affect estimates.

Q5: Can narrow sense heritability be greater than 1?
A: No, it should theoretically range between 0 and 1, though estimation errors might occasionally produce values slightly outside this range.