Page 358 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition

progeny records (continued) DYD calculation 145–146
intra-class correlation 7 genetic differences 136
paternal half-sibs 6 Legendre polynomials 138
predicted breeding value 8 maternal traits 148
progeny yield deviation (PYD) matrices, MME 138–141
accuracy, predictions 44–46 spline function 147–148
breeding value 43 reduced animal model (RAM)
dairy cattle evaluation 42 ancestors 54
description 42 back-solving
and DYD 42 direct effects 118–119
univariate animal model 43 maternal effects 119
PWG see post-weaning gain (PWG) non-parents 118
PYD see progeny yield deviation (PYD) data set and genetic
parameters 116–117
definition 49–51
QTL see quantitative trait loci (QTL) design matrices 116–118
quantitative trait loci (QTL) error 115
accuracy, EBVs 171 genetic and permanent environmental
BLUP equations 172 effect 115
chromosome, marked loci 171 genetic parameters 51
covariance matrix calculation maternal effects
design matrices 176 ARHS 289
genetic parameters 175 data file 284–285
genotype, sire 172 fixed effects 286
inherited marker haplotype 175 genetic parameters 284
loci, marker 172 parental records 284
marker haplotype 174 pedigree file 284
milk production traits 176 permanent environmental
parental MQTL 173 effects 291–292
types of gametes 173 solving, animal solutions 286–288
MME 51–53, 115–116
non-parents solutions 53–54
RAM see reduced animal model (RAM) regression survival models
random environmental effects, BLUP accelerated failure time 247
breeding 61 group data 250
common see common environmental mixed 247–250
effects, BLUP stratified proportional hazard 246
component 61 time-dependent risk factors 247
repeatability model residual regression coefficient 223
breeding values 61–62 RRM see random regression model (RRM)
data analysis 61
definition 62
DYD 66 S-MGS see sire-maternal grandsire (S-MGS)
HYS effects, dairy 62–66 SBV see associative breeding value (SBV)
random regression model (RRM) selection index
animal pe and maternal pe effects 137 accuracy 12–13
animal solutions partition 142–145 aggregate genotype prediction 16–18
breeding values 146–147 animal and relatives records 15–16
and covariance function data available, correlated traits 14
equivalence 155 description 11
dairy cattle test day records 137 economic indices 18–19
DIM calculation 138 matrix form 12

342 Index