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Ch. 25 - Quantitative Genetics and Multifactorial Traits
Chapter 24, Problem 14

A hypothetical study investigated the vitamin A content and the cholesterol content of eggs from a large population of chickens. The following variances (V) were calculated.

Calculate the narrow-sense heritability (h²) for both traits. <>

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1
Identify the formula for narrow-sense heritability (h^2), which is h^2 = V_A / V_P, where V_A is the additive genetic variance and V_P is the phenotypic variance.
Determine the values for V_A and V_P for each trait (vitamin A content and cholesterol content) from the study data.
For each trait, substitute the values of V_A and V_P into the formula for h^2.
Simplify the expression to find the narrow-sense heritability for each trait.
Interpret the results to understand the proportion of phenotypic variance that is due to additive genetic variance for each trait.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Narrow-Sense Heritability (h²)

Narrow-sense heritability (h²) quantifies the proportion of phenotypic variance in a trait that can be attributed to additive genetic variance. It is crucial for predicting the response to selection in breeding programs. The formula for h² is h² = Va / Vp, where Va is the additive genetic variance and Vp is the total phenotypic variance.
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Calculating Heritability

Phenotypic Variance (Vp)

Phenotypic variance (Vp) is the total variance observed in a trait within a population, resulting from both genetic and environmental factors. It can be partitioned into genetic variance (which includes additive, dominance, and interaction effects) and environmental variance. Understanding Vp is essential for calculating heritability and assessing the influence of genetics versus environment.
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Analyzing Trait Variance

Additive Genetic Variance (Va)

Additive genetic variance (Va) refers to the portion of genetic variance that contributes to the average effects of alleles on a trait. It is the sum of the effects of individual alleles and is important for predicting how traits will respond to selection. High Va indicates that selection can effectively change the trait in future generations, making it a key component in heritability calculations.
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Related Practice
Textbook Question

The following variances were calculated for two traits in a herd of hogs.

  Trait             Vₚ           VG        VA  _
Back fat        30.6        12.2       8.44
Body length  52.4        26.4     11.70

Which of the two traits will respond best to selection by a breeder? Why?

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Textbook Question

The following variances were calculated for two traits in a herd of hogs.

  Trait             Vₚ           VG        VA  _
Back fat        30.6        12.2       8.44
Body length  52.4        26.4     11.70

Calculate broad-sense (H²) and narrow-sense (h²) heritabilities for each trait in this herd.

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Textbook Question

The mean and variance of plant height of two highly inbred strains (P₁ and P₂) and their progeny (F₁ and F₂) are shown here.

   Strain     Mean (cm)     Variance  _
     P₁           34.2                 4.2
     P₂           55.3                 3.8
     F₁           44.2                 5.6
     F₂           46.3               10.3

Calculate the broad-sense heritability (H²) of plant height in this species.

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Textbook Question

A hypothetical study investigated the vitamin A content and the cholesterol content of eggs from a large population of chickens. The following variances (V) were calculated.

Which trait, if either, is likely to respond to selection? <>

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Textbook Question

In a herd of dairy cows the narrow-sense heritability for milk protein content is 0.76, and for milk butterfat it is 0.82. The correlation coefficient between milk protein content and butterfat is 0.91. If the farmer selects for cows producing more butterfat in their milk, what will be the most likely effect on milk protein content in the next generation?

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Textbook Question

In an assessment of learning in Drosophila, flies were trained to avoid certain olfactory cues. In one population, a mean of 8.5 trials was required. A subgroup of this parental population that was trained most quickly (mean=6.0) was interbred, and their progeny were examined. These flies demonstrated a mean training value of 7.5. Calculate realized heritability for olfactory learning in Drosophila.

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