Græsbøll Kaare, Kirkeby Carsten, Nielsen Søren Saxmose, Halasa Tariq, Toft Nils, Christiansen Lasse Engbo
Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark, Lyngby, Denmark; Section for Epidemiology, National Veterinary Institute, Technical University of Denmark, Frederiksberg, Denmark.
Section for Epidemiology, National Veterinary Institute, Technical University of Denmark , Frederiksberg , Denmark.
Front Vet Sci. 2016 Dec 19;3:115. doi: 10.3389/fvets.2016.00115. eCollection 2016.
Typically, central milk recording data from dairy herds are recorded less than monthly. Over-fitting early in lactation periods is a challenge, which we explored in different ways by reducing the number of parameters needed to describe the milk yield and somatic cell count of individual cows. Furthermore, we investigated how the parameters of lactation models correlate between parities and from dam to offspring. The aim of the study was to provide simple and robust models for cow level milk yield and somatic cell count for fitting to sparse data to parameterize herd- and cow-specific simulation of dairy herds. Data from 610 Danish Holstein herds were used to determine parity traits in milk production regarding milk yield and somatic cell count of individual cows. Parity was stratified in first, second, and third and higher for milk, and first to sixth and higher for somatic cell count. Fitting of herd level parameters allowed for cow level lactation curves with three, two, or one parameters per lactation. Correlations of milk yield and somatic cell count were estimated between lactations and between dam and offspring. The shape of the lactation curves varied markedly between farms. The correlation between lactations for milk yield and somatic cell count was 0.2-0.6 and significant on more than 95% of farms. The variation in the daily milk yield was observed to be a source of variation to the somatic cell count, and the total somatic cell count was less correlated with the milk production than somatic cells per milliliter. A positive correlation was found between relative levels of the total somatic cell count and the milk yield. The variation of lactation and somatic cell count curves between farms highlights the importance of a herd level approach. The one-parameter per cow model using a herd level curve allows for estimating the cow production level from first the recording in the parity, while a two-parameter model requires more recordings for a credible estimate, but may more precisely predict persistence, and given the independence of parameters, these can be easily drawn for use in simulation models. We also conclude that using total somatic cell count may stabilize models, and therefore, the dilution factor is of importance in Danish Holstein.
通常情况下,奶牛场的中央产奶记录数据记录频率低于每月一次。泌乳早期的过度拟合是一个挑战,我们通过减少描述个体奶牛产奶量和体细胞计数所需的参数数量,以不同方式对此进行了探讨。此外,我们研究了泌乳模型的参数在不同胎次之间以及从母代到子代之间如何关联。该研究的目的是提供简单且稳健的模型,用于奶牛个体水平的产奶量和体细胞计数,以拟合稀疏数据,从而对奶牛场进行群体和个体特异性模拟参数化。来自610个丹麦荷斯坦奶牛场的数据用于确定个体奶牛产奶量和体细胞计数方面的胎次性状。产奶量方面,胎次分为第一胎、第二胎、第三胎及更高胎次;体细胞计数方面,胎次分为第一胎至第六胎及更高胎次。拟合群体水平参数可得到每个泌乳期具有三个、两个或一个参数的奶牛个体水平泌乳曲线。估计了不同泌乳期之间以及母代与子代之间产奶量和体细胞计数的相关性。不同农场之间泌乳曲线的形状差异显著。产奶量和体细胞计数在不同泌乳期之间的相关性为0.2 - 0.6,且在超过95%的农场中具有显著性。观察到日产奶量的变化是体细胞计数变化的一个来源,并且总体细胞计数与产奶量的相关性低于每毫升体细胞数与产奶量的相关性。总体细胞计数的相对水平与产奶量之间存在正相关。不同农场之间泌乳和体细胞计数曲线的差异凸显了群体水平方法的重要性。使用群体水平曲线的每头奶牛单参数模型能够从胎次的首次记录开始估计奶牛的生产水平,而双参数模型需要更多记录才能进行可靠估计,但可能更精确地预测持续性,并且鉴于参数的独立性,这些参数可轻松绘制用于模拟模型。我们还得出结论,使用总体细胞计数可能会使模型更加稳定,因此,稀释因子在丹麦荷斯坦奶牛中很重要。