Page 357 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition
P. 357
eigenvalues 105–106 total genetic merit 208
MME 106 dominance relationship
reduced rank 106–108 matrix 204–205
transformation epistasis see epistasis
canonical see canonical inversion, dominance matrix
transformation see dominance matrix
Cholesky see Cholesky statistical framework 204
transformation numerator relationship matrix
multivariate animal model decomposing 23–25
conditional probabilities 267–268 inbreeding coefficient 23
description 266–267 inverse
−1
numerical illustration 269–270 A to zero 26
prior distributions 267 accounting, inbreeding 28–30
multivariate best linear unbiased prediction animals, pedigree 27
(MBLUP) inbreeding ignorance 27
advantages and disadvantages 70 pedigree 27–28
environments pedigree, six animals 23
different traits recorded, probability, identical genes 22
relatives 84–86
DRB 84, 89
genetic correlation 84 ordered categorical traits
MACE see multi-trait across-country animal breeding 219
evaluations (MACE) binary trait 219–220
milk yield 84 joint analysis, quantitative and binary
equal design matrices with missing traits
records Bayesian approach 230
differences, sex solutions 80 data and model definition 230–233
genetic parameters 78 numerical application 234–239
loss of traits 78 linear and non-linear models 219
MME 79 threshold model see threshold model
WWG and PWG 78–79
equal design matrices with no missing
records PCG see preconditioned conjugate gradient
accuracy 76–77 (PCG)
calculation, DYDs 77–78 post-weaning gain (PWG) 72–73, 78–79
defining 71–72 pre-weaning gain (WWG) 72–73, 78–79,
MME calculation 73–74 252–253, 257–259
partitioning animal preconditioned conjugate gradient (PCG)
evaluations 74–76 computation strategy 293
WWG and PWG 72–73 computing starting values 294–295
trait evaluation 70 convergence criteria 296–297
unequal design matrices genetic evaluation models 292
computation, DYD 82–83 iterative stage 295–296
FAT1 and FAT2 81, 82 multivariate accumulation
HYS effects 80, 81 technique 294
MME 81–82 pseudo-code 293
progeny records
breeding value 7
non-additive animal models calculations 7
and dominance effect description 6
genetic effects 206–208 EBV 8
MME and BLUP 205 half-sib progeny 8
Index 341
