Chapter 24, Problem 13
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.
Video transcript
Corn plants from a test plot are measured, and the distribution of heights at 10-cm intervals is recorded in the following table:
Height (cm) Plants (no.)
100 20
110 60
120 90
130 130
140 180
150 120
160 70
170 50
180 40
Calculate
(a) the mean height,
(b) the variance,
(c) the standard deviation, and
(d) the standard error of the mean.
Plot a rough graph of plant height against frequency. Do the values represent a normal distribution? Based on your calculations, how would you assess the variation within this population?
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?
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.
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. <>
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? <>
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?