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Pedigree analysis was extended to the Pêga donkey population in order to evaluate the status of genetic diversity and population structure. All parameters were computed for three reference populations of animals born between 2004 and 2014: all animals, animals with mouse gray coat color, and animals with roan coat color. Although the average inbreeding coefficient observed was low (about 3 %), highly inbred animals are present in the current population. The effective population size based on the individual inbreeding rate was 35, while the effective population size based on the individual coancestry rate was about three times higher. The number of equivalent subpopulations was at around three, indicating that the Pêga donkey population is highly structured. There is no evidence of differentiation between subpopulations based on the coat color of the animals (Nei's minimum distance 0.10 %). The breeding policy of Pêga donkeys is predominantly intra-herd. The loss of genetic diversity since the founder generations can be considered small in Pêga donkeys (1.25 %). The excessive contribution of few ancestors to the gene pool may lead to narrower bottlenecks in the pedigree of this population in the future. The long generation interval in Pêga donkeys (10.7 years) may be considered an advantage to reduce the increase in inbreeding and to maintain the genetic diversity of these animals.

Reaction norm models have been widely used to study genotype by environment interaction (G × E) in animal breeding. The objective of this study was to describe environmental sensitivity across first lactation in Brazilian Holstein cows using a reaction norm approach. A total of 50,168 individual monthly test day (TD) milk yields (10 test days) from 7476 complete first lactations of Holstein cattle were analyzed. The statistical models for all traits (10 TDs and for 305-day milk yield) included the fixed effects of contemporary group, age of cow (linear and quadratic effects), and days in milk (linear effect), except for 305-day milk yield. A hierarchical reaction norm model (HRNM) based on the unknown covariate was used. The present study showed the presence of G × E in milk yield across first lactation of Holstein cows. The variation in the heritability estimates implies differences in the response to selection depending on the environment where the animals of this population are evaluated. In the average environment, the heritabilities for all traits were rather similar, in range from 0.02 to 0.63. The scaling effect of G × E predominated throughout most of lactation. Particularly during the first 2 months of lactation, G × E caused reranking of breeding values. It is therefore important to include the environmental sensitivity of animals according to the phase of lactation in the genetic evaluations of Holstein cattle in tropical environments.

The objective of this study was to estimate genetic parameters for milk yield, stayability, and the occurrence of clinical mastitis in Holstein cows, as well as studying the genetic relationship between them, in order to provide subsidies for the genetic evaluation of these traits. Records from 5,090 Holstein cows with calving varying from 1991 to 2010, were used in the analysis. Two standard multivariate analyses were carried out, one containing the trait of accumulated 305-day milk yields in the first lactation (MY1), stayability (STAY) until the third lactation, and clinical mastitis (CM), as well as the other traits, considering accumulated 305-day milk yields (Y305), STAY, and CM, including the first three lactations as repeated measures for Y305 and CM. The covariance components were obtained by a Bayesian approach. The heritability estimates obtained by multivariate analysis with MY1 were 0.19, 0.28, and 0.13 for MY1, STAY, and CM, respectively, whereas using the multivariate analysis with the Y305, the estimates were 0.19, 0.31, and 0.14, respectively. The genetic correlations between MY1 and STAY, MY1 and CM, and STAY and CM, respectively, were 0.38, 0.12, and -0.49. The genetic correlations between Y305 and STAY, Y305 and CM, and STAY and CM, respectively, were 0.66, -0.25, and -0.52.