Tarrés J, Casellas J, Piedrafita J
Grup de Recerca en Remugants, Departament de Ciència Animals i dels Aliments, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain.
J Anim Sci. 2005 Mar;83(3):543-51. doi: 10.2527/2005.833543x.
Survival analysis techniques were used to analyze survival up to weaning of beef calves in the Pyrenean mountains areas of Catalonia, Spain. The Kaplan-Meier curve showed that the survival experience was not constant throughout the lactation period, as the mortality rate was more pronounced during the first month of life. The proportional hazards model analysis showed that several factors influenced the instantaneous mortality rate, with the herd-year effect having the strongest influence. Calves born in the first part of the breeding season, from September to February, had the lowest mortality risk (P < 0.001), showing that mortality risk increases as births accumulate. Calves from cows younger than 1,300 d of productive life had a higher risk of mortality (P < 0.05). Unassisted calvings presented the smallest risk of mortality, and mortality risk increased up to five times as birth became more difficult (P < 0.001). This risk also tended to increase slightly when calf birth weight was small (P < 0.10); for bigger calves, no increase of risk was detected, probably because calving difficulty was included in the model. These results suggest the need for improving the environment in the second part of the breeding period and paying more attention to births from younger cows. The survival curve fitted a parametric piecewise exponential function very well, with cut points at 16 and 32 d. The lower risk corresponded to the period of 33 to 180 d, the risk for the periods 17 to 32 d and 1 to 16 d being multiplied by 7 and 26, respectively. Confirming the robustness of the Cox model, the relative risks estimated for the different factors under this piecewise exponential model or a Weibull time-dependent model were similar to those reported above, as well as to those estimated under a frailty model, including the sire as a random effect. The modal estimates of sire variance under different baseline functions were close to 0.3, although the standard errors were very large. At weaning, the heritability estimate in the binary scale reached a value of only 0.037 because the survival at weaning was very high (96.9%) in this population. Nevertheless, in populations with a higher mortality, the inclusion of survival to weaning in the breeding objective might be justified. Overall, these results show that survival analysis is a powerful tool to analyze the mortality curve until weaning of beef calves.
运用生存分析技术,对西班牙加泰罗尼亚比利牛斯山区肉用犊牛断奶前的生存情况进行了分析。卡普兰 - 迈耶曲线表明,整个哺乳期的生存经历并非恒定不变,因为死亡率在犊牛出生后的第一个月更为明显。比例风险模型分析表明,有几个因素会影响瞬时死亡率,其中畜群 - 年份效应的影响最为强烈。在繁殖季节的前半段(9月至次年2月)出生的犊牛,死亡风险最低(P < 0.001),这表明随着出生数量的累积,死亡风险会增加。生产寿命小于1300天的母牛所产犊牛的死亡风险更高(P < 0.05)。顺产的犊牛死亡风险最小,随着分娩难度增大,死亡风险会增至五倍(P < 0.001)。当犊牛出生体重较小时,这种风险也往往会略有增加(P < 0.10);对于体重较大的犊牛,未检测到风险增加,这可能是因为分娩难度已包含在模型中。这些结果表明,需要改善繁殖期后半段的环境,并更多地关注年轻母牛的分娩情况。生存曲线与参数化分段指数函数拟合得非常好,切点分别为16天和32天。较低风险对应于33至180天的时间段,17至32天和1至16天时间段的风险分别乘以7和26。证实了Cox模型的稳健性,在此分段指数模型或威布尔时间依赖模型下,针对不同因素估计的相对风险与上述报告的结果相似,也与在将父亲作为随机效应的脆弱模型下估计的结果相似。尽管标准误差非常大,但在不同基线函数下,父亲方差的模态估计接近0.3。在断奶时,二元尺度下的遗传力估计值仅为0.037,因为该群体断奶时的存活率非常高(96.9%)。然而,在死亡率较高的群体中,将断奶存活率纳入育种目标可能是合理的。总体而言,这些结果表明,生存分析是分析肉用犊牛断奶前死亡曲线的有力工具。