Animal model breeding value estimation uses all the information from all the measured animals, therefore it is one advantage if you can set up the inverse relationship matrix directly without having to invert it, when it comes to large populations, see the following link .
animal sire dam --------------- 1 0 0 2 0 0 3 0 0 4 0 0 5 1 2 6 1 2 7 3 4 8 5 6 genealogical diagram |
relationship matrix 1.00 0.00 0.00 0.00 0.50 0.50 0.00 0.50 0.00 1.00 0.00 0.00 0.50 0.50 0.00 0.50 0.00 0.00 1.00 0.00 0.00 0.00 0.50 0.00 0.00 0.00 0.00 1.00 0.00 0.00 0.50 0.00 0.50 0.50 0.00 0.00 1.00 0.50 0.00 0.75 0.50 0.50 0.00 0.00 0.50 1.00 0.00 0.75 0.00 0.00 0.50 0.50 0.00 0.00 1.00 0.00 0.50 0.50 0.00 0.00 0.75 0.75 0.00 1.25The inverse Matrix 2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.5 0.5 0.0 0.0 -1.0 0.0 0.0 0.0 0.5 1.5 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.5 0.5 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.5 2.5 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 |
As you can see, the inverse relationship matrix has a very simple structure, link to the theory of the simple structure.
Direct set up of the inverse relationship matrix click here
Applet with many computational examples of the use of the animal model click here
Animal model including simultaneous calculation of mean and other correction factors click here