# Plant Breeding Methods (CS, HS 541)

## Exercise 3 – Quantitative Genetics Review

Give complete answers, but be brief and specific. Show your work.

20 points total

1. What is the mean and variance for a population (where only 1 locus is segregating) consisting of the F_{2} of the cross BB x bb where BB yields 24, Bb yields 18 and bb yields 9 fruits per plot?

2. How could you measure directly all components of the epistatic variance (s^{2}_{I}) of a population?

3. A population with a mean yield of 19 fruits per plant was intercrossed, and 5 S_{0} plants were sampled from it with yields of 28, 21, 29, 16 and 19 fruits per plant each, respectively. The half-sib families derived from the 5 S_{0} plants had yields of 25, 21, 24, 15, and 20 fruits per plant, respectively. What is the breeding value (A) of the highest yielding S_{0}?

4. A quantitative genetic study was run for lodging resistance in a population of sweet corn that had been wind-intercrossed several times during development. Given the following analysis of variance, estimate s^{2}A, s^{2}D, and h^{2}N. Does the population have a high enough heritability to warrant single-plant selection for the trait?

- 2 df Sets (S)
- 9 df Blocks / S
- 297 df Males / S MS=205
- 1200 df Females/M/S MS=45
- 4491 df Error MS=5

5. If the population in question 4 had a mean of 7 before selection, what would it be after 2 cycles of selection where the best 5% of the FS families in the population were intercrossed to form the next generation (assuming the variances are not changed by selection)?

Given – k for selection percentage: 1%=2.64, 2%=2.42, 5%=2.06, 10%=1.76, 20%=1.40, 50%=0.80.