Description of the models 
Species: Goat
Trait group: Test-day

Model VCE (1):
milk  = breed + [1, plg4(dim)]parity + [1, plg4(dim)]liveborn + lamb_season + lamb_year + herd + htd + id + perm;
fat   = breed + [1, plg4(dim)]parity + [1, plg4(dim)]liveborn + lamb_season + lamb_year + herd + htd + id + perm;
prot  = breed + [1, plg4(dim)]parity + [1, plg4(dim)]liveborn + lamb_season + lamb_year + herd + htd + id + perm;
Model VCE (2):
fatp  = breed + [1, plg4(dim)]parity +               liveborn + lamb_season + lamb_year + herd + htd + id + perm;
protp = breed + [1, plg4(dim)]parity +               liveborn + lamb_season + lamb_year + herd + htd + id + perm;
scs   = breed + [1, plg4(dim)]parity +               liveborn + lamb_season + lamb_year + herd + htd + id + perm;

Effects:

Covariable:
dim =days in milk

Fixed effects:
ef6 =breed (n=3)
ef7 =parity (n=6)
ef8 =liveborn (n=3)
ef9 =lamb_year 
ef10=lamb_season (n=4) *12,1,2=1; 3,4,5=2; 6,7,8=3; 9,10,11=4

Random effects:
ef11=herd 
ef4 =htd 
ef5 =perm 
id  =animal