Page 326 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition

Processing animals in AS and AD :
4 3
j = 4; k = 3
j > k therefore.

Add sire of 4, animal 1 to AS ; l = l + 0.5l = 0.5
4 41 41 44
Delete animal 4 from AS .
4
Next animals in AS and AD :
4 3
j = 1, k = 3
k > j therefore.
Add sire of 3, animal 1 to AD ; l = l + 0.5l = 0.5
3 31 31 33
Add dam of 3, animal 2 to AD ; l = l + 0.5l = 0.5
3 32 32 33
Delete 3 from AD .
3
Next animals in AS and AD :
4 3
j = 1, k = 2
k > j
Both parents of 2 are unknown.
Delete 2 from AD .
3
Next animals in AS and AD :
4 3
j = 1, k = 1
j = k
Both parents are unknown.
F = F + l l 0.5(D ) = 0.5(0.5)(0.5)(1) = 0.125
5 5 41 31 11
which is the same inbreeding coefficient as that obtained from the algorithm in
Section B.1.

310 Appendix B