Problem 1: Parent Offspring Breeding Values
As shown in the course notes, the breeding value ui of animal i can be decomposed into the average of
the parent breeding values plus a mendelian sampling term (mi). This means
ui=12us+12ud+mi
where animal i has parents s and d. The mendelian sampling term mi is the deviation of the single
breeding value ui from the parent
average breeding value. Because mi
is modelled as a deviation, it follows that for a large number (N) of offspring from parents s and d, the average over all mendelian
sampling terms must be 0.
Your Task
Show that the average mendelian sampling term over a large number of
offspring is 0 using a single locus
model for the following cases.
Case 1: Homozygous and Heterozygous Parents
Parent s with genotype G1G1 and parent d with genotype G1G2
Case 2: Homozygous and Heterozygous Parents
Parent s with genotype G2G2 and parent d with genotype G1G2
Case 3: Heterozygous Parents
Both parents s and d have genotype G1G2
Your Solution
- For each of the following cases compute the parent average of
breeding values.
- Compute the difference between the breeding values of every possible
offspring and the parent average
- Compute the average over all mendelian sampling terms
Case 1: Homozygous and Heterozygous Parents
Case 2: Homozygous and Heterozygous Parents
Case 3: Heterozygous Parents
Latest Changes: 2023-11-10 07:36:54 (pvr)
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