Page 354 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition

calving difficulty (CD) 235–238 DBV see direct breeding value (DBV)
canonical transformation deregressed breeding values (DRB)
calculation, variables 97 iterative procedure 323
calculation procedure 318–319 and MACE 323
data, pre-weaning weight and pedigree structure 324
gain 320–321 deregressed proofs (DRP) 87, 89
design matrices 95, 97 diagonal matrix 300
identity matrix 96 direct breeding value (DBV) 122–123,
missing records and same incidence 127–128
matrices 319–320 dominance matrix
single trait analysis 95, 96 inverse, relationship matrix
solutions 321–322 F −1 212–215
traits observations 318 subclass effects 210–211
variance and covariance matrices 96 pairs of genes 209
WWG and PWG, beef calves 97–98 partial regression coefficient 209
CD see calving difficulty (CD) prediction 211–212
CFs see covariance functions (CFs) DRB see deregressed breeding values (DRB)
Cholesky decomposition 322 DRP see deregressed proofs (DRP)
Cholesky transformation DYDs see daughter yield deviations (DYDs)
defining 98–99
loss of records 98
residual and additive genetic covariance, EDC see effective daughter contributions
beef calves 99–100 (EDC)
solutions 101 effective daughter contributions
common environmental effects, BLUP (EDC) 88–89
definition 67 epistasis
resemblance 66–67 Hadamard product 215
variation 67 inverse, relationship matrix
weaning weight, piglets 67–69 calculation 217–218
covariance functions (CFs) rules 216–217
body weight measurements 149–151
description 149
reduced order fitting 151–155 fat yield in lactation 1, FAT1 and
standardized ages 149 FAT2 81, 82
covariance matrix calculation fixed regression model
alternative recursive method 160–161 incidence matrices, MME 133–135
inverse calculation lactation curve 133
description 161–162 permanent environmental
identity matrix 164–165 effects 135–136
inbreeding coefficient 162 TDY, cows 132
maternal and paternal MQTL 164
residual effect 162
sire and dam 163 Gauss–Seidel iteration 275–276
maternal MQTL 157 GEBV see genomic breeding values (GEBV)
numerical application 158–160 genetic covariance
recombination rate 158 BLUP 22
tabular method 158 decomposing, relationship
matrix 23–25
description 22
daughter yield deviations (DYDs) 77–78, numerator relationship matrix see
82–83, 86–87 numerator relationship matrix
see also progeny yield deviation (PYD) sire and MGS model 30–33

338 Index