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Are parametric models suitable for estimating avian growth rates?

机译:参数模型是否适合估算禽类的增长率?

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For many bird species, growth is negative or equivocal during development. Traditional, parametric growth curves assume growth follows a sigmoidal form with prescribed inflection points and is positive until asymptotic size. Accordingly, these curveswill not accurately capture the variable, sometimes considerable, fluctuations in avian growth over the course of the trajectory. We evaluated the fit of three traditional growth curves (logistic, Gompertz, and von Bertalanffy) and a nonparametric splineestimator to simulated growth data of six different specified forms over a range of sample sizes. For all sample sizes, the spline best fit the simulated model that exhibited negative growth during a portion of the trajectory. The Gompertz curve was themost flexible for fitting simulated models that were strictly sigmoidal in form, yet the fit of the spline was comparable to that of the Gompertz curve as sample size increased. Importantly, confidence intervals for all of the fitted, traditional growthcurves were wholly inaccurate, negating the apparent robustness of the Gompertz curve, while confidence intervals of the spline were acceptable. We further evaluated the fit of traditional growth curves and the spline to a large data set of wood thrushHylocichla mustelina mass and wing chord observations. The spline fit the wood thrush data better than the traditional growth curves, produced estimates that did not differ from known observations, and described negative growth rates at relevant life history stages that were not detected by the growth curves. The common rationale for using parametric growth curves, which compress growth information into a few parameters, is to predict an expected size or growth rate at some age or to compare estimated growth with other published estimates. The suitability of these traditional growth curves may be compromised by several factors, however, including variability in the true growth trajectory. Nonparametric methods, such as the spline, provide a precise description of empirical growth yet do not produce such parameter estimates. Selection of a growth descriptor is best determined by the question being asked but may be constrained by inherent patterns in the growth data.
机译:对于许多鸟类来说,在发育过程中生长是负的或模棱两可的。传统的参数化增长曲线假定增长遵循具有指定拐点的S型曲线,并且在渐近大小之前为正。因此,这些曲线将不能准确地捕捉到在轨迹过程中禽类生长的可变的,有时是相当大的波动。我们评估了三个传统增长曲线(逻辑曲线,Gompertz和von Bertalanffy)和一个非参数样条估计量对六种不同指定形式在一系列样本量范围内的增长数据的拟合度。对于所有样本大小,样条曲线最适合模拟模型,该模型在轨迹的一部分期间呈现负增长。对于拟合严格为S形的模拟模型,Gompertz曲线最灵活,但随着样本量的增加,样条曲线的拟合度可与Gompertz曲线拟合。重要的是,所有拟合的传统增长曲线的置信区间完全不正确,从而抵消了Gompertz曲线的表观鲁棒性,而样条曲线的置信区间却可以接受。我们进一步评估了传统生长曲线和样条曲线与大数据画眉鹅口桐的质量和翼弦观测值的拟合度。样条曲线拟合木材画眉数据的效果好于传统的生长曲线,得出的估计值与已知观测值没有差异,并描述了在相关生命史阶段的负增长率,但生长曲线未检测到。使用参数增长曲线(将增长信息压缩为几个参数)的常见理由是预测某个年龄的预期大小或增长率,或者将估计的增长与其他已发布的估计进行比较。但是,这些传统增长曲线的适用性可能会受到多种因素的影响,其中包括真实增长轨迹的变化性。非参数方法(例如样条曲线)提供了经验增长的精确描述,但并未产生此类参数估计值。增长描述符的选择最好由所要提出的问题确定,但可能会受到增长数据中固有模式的限制。

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