Question:
To construct a selection index which of the following is not necessary?
To construct a selection index which of the following is not necessary?
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A selection index is designed precisely to estimate the unknown breeding value. Therefore, the breeding value itself cannot be a required input to construct it.
Updated On: Jul 8, 2026
- Breeding value of the traits
- Genetic and phenotypic variances for each trait
- Genetic and phenotypic co-variances between each trait
- Relative economic value of the traits
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
A selection index is a linear combination of phenotypic values of different traits used to estimate an individual's aggregate genetic merit (net breeding value).
Step 3: Detailed Explanation:
To construct and calculate the selection index coefficients (\(b\)-values), we require:
• Phenotypic variances and covariances of the traits (matrix \(\mathbf{P}\)).
• Genetic variances and covariances of the traits (matrix \(\mathbf{G}\)).
• Relative economic values of the traits (vector \(\mathbf{a}\)).
Using these inputs, we solve the index equations:
\[ \mathbf{P} \mathbf{b} = \mathbf{G} \mathbf{a} \implies \mathbf{b} = \mathbf{P}^{-1} \mathbf{G} \mathbf{a} \]
The individual's true Breeding Values (BVs) are the unknown quantities we are trying to predict using the index. Hence, knowing the breeding value of the traits in advance is not necessary.
Step 4: Final Answer
The breeding value of the traits is not necessary for constructing a selection index.
A selection index is a linear combination of phenotypic values of different traits used to estimate an individual's aggregate genetic merit (net breeding value).
Step 3: Detailed Explanation:
To construct and calculate the selection index coefficients (\(b\)-values), we require:
• Phenotypic variances and covariances of the traits (matrix \(\mathbf{P}\)).
• Genetic variances and covariances of the traits (matrix \(\mathbf{G}\)).
• Relative economic values of the traits (vector \(\mathbf{a}\)).
Using these inputs, we solve the index equations:
\[ \mathbf{P} \mathbf{b} = \mathbf{G} \mathbf{a} \implies \mathbf{b} = \mathbf{P}^{-1} \mathbf{G} \mathbf{a} \]
The individual's true Breeding Values (BVs) are the unknown quantities we are trying to predict using the index. Hence, knowing the breeding value of the traits in advance is not necessary.
Step 4: Final Answer
The breeding value of the traits is not necessary for constructing a selection index.
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