To estimate genetic parameters, lactation records were collected from 1968 through 1977 on 1454 Advanced Registry (AR) Holstein cows, which were the female offspring of 18 sires. Traits analyzed were milk yield, fat percent, fat yield, withers height, and body weight. The method of analysis of variance was based on Method III of HENDERSON (1953). The mathematical model was Y
ijlkmn=μ+s
i+A
j+(sA)
ij+R
k+Y
l+S
m+(RS)
km+e
ijklmn, where Y
ijklmn was each record, and μ, s
i, A
j, (sA)
ij, R
k, Y
l, S
m, (RS)
km, and e
ijklmn were the overall mean, the effect of the i
th sire (random), the effect of the j
th age at calving (fixed), the effect of the interaction between the sire and the age (random), the effect of the k
th region (fixed), the effect of the l
th year (fixed), the effect of the m
th season of calving (fixed), the effect of the interaction between the region and the season (fixed), and the special effect for each individual, respectively. The calculation was done using the computer program, LSML76, developed by HARVEY (1976). The results were as follows: 1) The effects of interaction between the sire and age were significant in milk yield, fat yield and body weight, and region effects were significant in all five traits. The linear regression of the age effect was significant on milk yield, fat yield, and body weight. The withers height was curvilinear. 2) The overall means of the milk yield, fat percent, fat yield, withers height, and body weight were 6, 825kg, 3.57%, 243.5kg, 138.9cm, and 627.7kg, respectively. Mean Separation of nine regions in milk yield gave two groups: low yielding in eastern Japan and high yielding in the West. 3) Heritabilities estimated from paternal half-sib correlations were 0.059, 0.420, and 0.070 for milk yield, fat percent, and fat yield; 0.572 and 0.128 for withers height and body weight, respectively. The estimates for milk yield and fat yield were less than 0.1. 4) Genetic correlation estimates between milk yield and fat percent, milk yield and fat yield, fat percent and fat yield were -0.35, 0.52, 0.62, respectively. The estimates between body weight and milk yield, body weight and fat percent were very large, -0.72, 0.59, respectively.
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