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四分位变异系数比作为比值计算的性状的变异系数更稳健。

Quartile coefficient of variation is more robust than CV for traits calculated as a ratio.

机构信息

Centre for Ecological Research, Alkotmány 2-4., Vácrátót, H-2163, Hungary.

出版信息

Sci Rep. 2023 Mar 22;13(1):4671. doi: 10.1038/s41598-023-31711-8.

Abstract

Comparing within-species variations of traits can be used in testing ecological theories. In these comparisons, it is useful to remove the effect of the difference in mean trait values, therefore measures of relative variation, most often the coefficient of variation (CV), are used. The studied traits are often calculated as the ratio of the size or mass of two organs: e.g. specific leaf area (SLA) is the ratio of leaf size and leaf mass. Often the inverse of these ratios is also meaningful; for example, the inverse of SLA is often referred to as LMA (leaf mass per area). Relative variation of a trait and its inverse should not considerably differ. However, it is illustrated that using the coefficient of variation may result in differences that could influence the interpretation, especially if there are outlier trait values. The alternative way for estimating CV from the standard deviation of log-transformed data assuming log-normal distribution and Kirkwood's geometric coefficient of variation free from this problem, but they proved to be sensitive to outlier values. Quartile coefficient of variation performed best in the tests: it gives the same value for a trait and its inverse and it is not sensitive to outliers.

摘要

比较物种内特征的变化可用于检验生态理论。在这些比较中,去除平均特征值差异的效果很有用,因此通常使用相对变化的度量,最常用的是变异系数(CV)。所研究的特征通常计算为两个器官大小或质量的比值:例如,比叶面积(SLA)是叶片大小与叶片质量的比值。这些比值的倒数通常也有意义;例如,SLA 的倒数通常称为 LMA(每单位面积的叶片质量)。特征及其倒数的相对变化不应有很大差异。然而,有例证表明,使用变异系数可能会导致差异,从而影响解释,特别是如果存在异常特征值。另一种方法是假设对数正态分布并使用柯克伍德无偏几何变异系数从对数转换后的数据的标准差中估计 CV,但是它们被证明对异常值敏感。四分位系数变异在测试中表现最好:它为特征及其倒数提供相同的值,并且对异常值不敏感。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d00b/10033673/5313566b6e0e/41598_2023_31711_Fig1_HTML.jpg

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