Staniar W B, Kronfeld D S, Treiber K H, Splan R K, Harris P A
Department of Animal and Poultry Sciences, Virginia Polytechnic Institute and State University, Blacksburg 24061-0306, USA.
J Anim Sci. 2004 Apr;82(4):1007-15. doi: 10.2527/2004.8241007x.
The objective of this study was to establish a procedure for differentiating a baseline curve from a systematic deviation in weight-age data, and hence to develop a physiological growth model for the Thoroughbred. A total of 2,698 records for 175 foals was obtained during a period of 8 yr (1994 to 2001). Weight-age data were fit with a sigmoid growth equation, W = A(1 + be(-kt))M, where W is BW at age t, A is the asymptotic value of W, b is a scaling parameter that defines the degree of maturity at t = 0, k is a rate constant, and M defines the point of inflection in the sigmoid curve in relation to age. Short-term systematic deviations in the weight-age data were identified by a goodness-of-fit procedure and illustrated in three-dimensional contour plots of the sigmoid equation parameters as they changed upon removal of selected subsets of the data. Based on features of the contour plots, a negative deviation between 210 and 420 d of age was set aside, with the remaining data establishing the baseline data set. The sigmoid growth equation was fit to the baseline data set using a nonlinear mixed model with repeated measures, and indicated a mature weight of 542 +/- 6.2 kg reached at 7 yr. The systematic deviation identified in this weight-age data set is present in other published Thoroughbred growth data and is likely to result in erroneous parameter estimates if not set aside before fitting sigmoid growth equations to the thus-modified weight-age data set. The techniques developed in this study enable identification of short-term systematic deviations in weight-age data and define a realistic baseline growth curve. Differentiation of these two components enables the development of a physiological model of growth that distinguishes between baseline growth and environmental influences, represented respectively, by the baseline curve and the systematic deviation.
本研究的目的是建立一种从体重-年龄数据中的系统偏差中区分出基线曲线的程序,从而为纯种马建立一个生理生长模型。在8年期间(1994年至2001年)共获得了175匹驹的2698条记录。体重-年龄数据用一个S形生长方程进行拟合,即W = A(1 + be(-kt))M,其中W是年龄t时的体重,A是W的渐近值,b是一个缩放参数,定义了t = 0时的成熟度,k是一个速率常数,M定义了S形曲线相对于年龄的拐点。通过拟合优度程序识别体重-年龄数据中的短期系统偏差,并在S形方程参数的三维等高线图中进行展示,这些参数在去除选定的数据子集时会发生变化。根据等高线图的特征,将210至420日龄之间的负偏差排除在外,其余数据构成基线数据集。使用具有重复测量的非线性混合模型将S形生长方程拟合到基线数据集,结果表明7岁时达到的成熟体重为542±6.2千克。在该体重-年龄数据集中识别出的系统偏差在其他已发表的纯种马生长数据中也存在,如果在将S形生长方程拟合到经过修改的体重-年龄数据集之前不将其排除,可能会导致错误的参数估计。本研究中开发的技术能够识别体重-年龄数据中的短期系统偏差,并定义一条现实的基线生长曲线。区分这两个组成部分有助于建立一个生长生理模型,该模型能够区分基线生长和环境影响,分别由基线曲线和系统偏差表示。