Genetic relationships between Brazilian and US Holstein cattle populations
were studied using first-lactation records of 305-d mature equivalent (ME)
yields of milk and fat of daughters of 705 sires in Brazil and 701 sires in
the United States, 358 of which had progeny in both countries. Components
of(co)variance and genetic parameters were estimated from all data and from
within herd-year standard deviation for milk (HYSD) data files using bivar
iate and multivariate sire models and DFREML procedures distinguishing the
two countries. Sire (residual) variances from all data for milk yield were
51 to 59% (58 to 101%) as large in Brazil as those obtained from half-siste
rs in the average US herd. Corresponding proportions of the US variance in
fat yield that were found in Brazil were 30 to 41% for the sire component o
f variance and 48 to 80% for the residual. Heritabilities for milk and fat
yields from multivariate analysis of all the data were 0.25 and 0.22 in Bra
zil, and 0.34 and 0.35 in the United States. Genetic correlations between m
ilk and fat were 0.79 in Brazil and 0.62 in the United States. Genetic corr
elations between countries were 0.85 for milk, 0.88 for fat, 0.55 for milk
in Brazil and fat in the US, and 0.67 for fat in Brazil and milk in the Uni
ted States. Correlated responses in Brazil from sire selection based on the
US information increased with average HYSD in Brazil. Largest daughter yie
ld response was predicted from information from half-sisters in low HYSD US
herds (0.75 kg/kg for milk; 0.63 kg/kg for fat), which was 14% to 17% grea
ter than estimates from all US herds because the scaling effects were less
severe from heterogeneous variances. Unequal daughter response from unequal
genetic (co)variances under restrictive Brazilian conditions is evidence f
or the interaction of genotype and environment. The smaller and variable yi
eld expectations of daughters of US sires in Brazilian environments suggest
the need for specific genetic improvement strategies in Brazilian Holstein
herds. A US data file restricting daughter information to low HYSD US envi
ronments would be a wise choice for across-country evaluation. Procedures t
o incorporate such foreign evaluations should be explored to improve the ac
curacy of genetic evaluations for the Brazilian Holstein population.