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Narrow-sense heritability is the fraction of phenotypic variance attributable to additive genetic variance in a specified population and environment.
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Formula
h2 dimensionless, usually 0–1 · VA and VP are variances in squared trait units
| Symbol | Meaning | Unit |
|---|---|---|
| Narrow-sense heritability in the population and environment studied | dimensionless | |
| Additive genetic variance | trait unit2 | |
| Total observed phenotypic variance | trait unit2 |
h^2=\frac{V_A}{V_P}Heritability is a population-level variance ratio, not the fraction of an individual trait that is “genetic.” It changes with allele frequencies, environmental variation, measurement design and the variance-component model. Gene–environment covariance and population structure can undermine simple decompositions. Narrow-sense h2 includes additive effects; broad-sense heritability uses total genetic variance. Neither quantity means a trait is immutable or genetically determined on its own.
Variance components apply to a defined trait, population, environment and design; gene–environment covariance can violate simple decompositions.
Narrow-sense heritability compares additive genetic variance with total phenotypic variance.
Phenotypic variance
For h2>0 and compatible estimates.
Given VA=20 cm2 and VP=80 cm2, calculate h2.
h2=20/80=0.25.
Interpreting heritability as immutability.
It describes population variation and can change with environment.
Formula cluster
Heritability describes variation, not genetic destiny.
In a defined sample, suppose VA=20 cm2 and VP=80 cm2. Then h2=20/80=0.25. In that population and context, one quarter of the measured trait variance is estimated as additive genetic variance; it does not mean an individual is 25% genetic.
Quantitative genetics, population comparisons and response-to-selection models when population, trait and environment are specified
Here is how to work through a typical Narrow-Sense Heritability (h² = VA/VP) task step by step:
Task
Given VA=20 cm2 and VP=80 cm2, calculate h2.
Solution path
h2=20/80=0.25.
In the population and environment studied, 40% of observed phenotypic variance is statistically attributed to additive genetic variance: h2=VA/VP=0.4. This does not mean that 40% of an individual trait is genetically determined. Heritability describes differences among individuals in a population and can change with environment, sampling and measurement. It also does not directly predict how strongly an individual responds to an environmental change. Report the population, environment, measurement definition and estimation method. Without them, h2 cannot be transferred to other groups or conditions.
Narrow-sense heritability is h2=VA/VP and considers additive genetic variance. Broad-sense heritability is H2=VG/VP and also includes dominance and epistatic components. Additive effects are often especially relevant to expected response to artificial selection because they are reliably transmitted across generations. Which measure is useful depends on the question and breeding or study design. Both remain population-specific variance ratios, not immutable properties of a trait. Report the population, environment, measurement definition and estimation method. Without them, h2 cannot be transferred to other groups or conditions.
No. High heritability means that, in the population and environment studied, a large share of variation is associated with additive genetic differences. An intervention can still shift the population mean or strongly affect individual outcomes. If environments become more uniform, the heritability proportion can even rise while genes remain unchanged. Intervention decisions need causal evidence and absolute changes; h2 alone is neither an individual prediction nor a policy recommendation. Report the population, environment, measurement definition and estimation method. Without them, h2 cannot be transferred to other groups or conditions.
Reproduce the example calculation: In a defined sample, suppose VA=20 cm2 and VP=80 cm2. Narrow-Sense Heritability uses h2 = VA/VP. In plain terms, narrow-sense heritability is the fraction of phenotypic variance attributable to additive genetic variance in a specified population and environment. Unit check: h2 dimensionless, usually 0–1 · VA and VP are variances in squared trait units. Variance components apply to a defined trait, population, environment and design; gene–environment covariance can violate simple decompositions. Values are comparable only when their definitions, denominators and periods match. Record these details next to the result so the reference group is clear. If the direction is implausible, check data preparation and the calculation basis before discussing biological causes.
A key limit of Narrow-Sense Heritability is this: Variance components apply to a defined trait, population, environment and design; gene–environment covariance can violate simple decompositions. Do not use the metric without its reference; it is useful for Quantitative genetics, population comparisons and response-to-selection models when population, trait and environment are specified. Narrow-sense heritability is the fraction of phenotypic variance attributable to additive genetic variance in a specified population and environment. When comparing populations or experiments, check whether definitions, denominators and observation periods match. If the assumption is implausible, the result shows only what the simplified model calculates from its inputs; it is not a reliable estimate for the target population. State this limitation in the report, and do not infer a causal effect from the formula alone.
Quanta exam set
Curated exam set for "Narrow-Sense Heritability":
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Which formula describes Narrow-Sense Heritability?
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How do you rearrange Narrow-Sense Heritability for Phenotypic variance?
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Which common mistake happens with Narrow-Sense Heritability?
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