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23 Nov 2019

4.Which of the equations below represent the partition of the phenotypic value into genotypic values of 3 loci, including interaction (genotypic) between loci 1 and 3, and environment value, while deviating them from the mean?

P = G1 + G2 + G3 + I13 + E

P = µ + G1 + G2 + G3 + I13 + E

P = G1 + G2 + G3 + I123 + E

P = µ + G1 + G2 + G3 + I123 + E

5 -6 The question description below should be use for this question and question 6:

An animal scientist that did not take an animal breeding course at ISU during her/his undergraduate education was requested to help with the interpretation of some results at a cattle breed association (AASCB; The American Association of Some Cattle Breed). More specifically, AASCB is interested in genetically improving insemination rates in bulls.

Based on the results they obtained, it seems that there are 2 major QTL for this trait. In general, these 2 loci alone explain 80% of all genetic variability, whereas the other 20% is controlled by lots and lots of loci with smaller effect. So, the practical thing to do is to work with the genotypes of these 2 loci.

One of these loci (T/t) is purely additive, whereas the other locus (D/d) is partially dominant. The additive effects (a) for these two loci are 5% (T/t) and 3% (D/d). The dominance effect (d) is of 2%. In other words, we would expect TT, Tt, and tt animals to have 5%, 0%, and - 5% insemination rate compared to the mean. Likewise, DD, Dd, and dd animals would have 3%, 2%, and -3%, respectively. These are their genotypic values at each locus.

Question:

Given all of this and your knowledge of genotypic values within and across loci, what is the genotypic value of an animal with genotype TTDD?

-4%

4%

-10%

8%

-8%

10%

Please use the description in question 5.

6.Interestingly, it seems that TTdd animals have 5% greater insemination rate than what you would expect them to have. Thus, it seems that there is an interaction between these two loci when genotypes TT and dd are present on the same individual.

What is the genotypic value for a TTdd animal given all the information in this question and question 5?

9%

5%

-4%

1%

7%

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