Question 2 (5 pts). The phenotypic variance or components of phenotypic variance

Question

Question 2 (5 pts). The phenotypic variance or components of phenotypic variance were estimated for the same trait in each of two herds of cattle. Phenotypic Components of Phenotypic Variation Variation herd 1 herd 2 33 6 27 93 15 5 12 89 65 a. What is Vp for herd 1? b. What is VA for herd 1? c. What is Ve for herd 2? d. Which herd has the largest broad-sense heritability for this trait? What is the heritability? Show calculations!!! e. Which herd has the smallest narrow-sense heritability for this trait? What is the heritability? Show calculations!!!

Explanation / Answer

Answer:

The following formulas are used for calculations:

VP = Total Phenotypic Variance
VG= Total genetic variance
VD = Variance due to dominance effects
VA = Variance due to additive genes
VI = Variance due to genetic interactions (epistasis)
VG = VA + VD + VI

VE = Environmental Variance
VG*E = Variance due to interactions between genes and environment
VP = VG + VE + VG*E

For Herd 1:

For Herd 2:

Broad Sense Heritability: H2 = VG/ VP or VG/(VG +VE)

Narrow Sense Heritability: h2 = VA/VP

Phenotypic variation Components of Phenotypic Variation Vp VG VA VD VI VGXE VE herd 1 240 124 85 33 6 27 89 herd 2 190 113 93 15 5 12 65

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