Fractal analysis of ostracod shell variability: A comparison with geometric and classic morphometrics
Fractal analysis of ostracod shell variability: A comparison with geometric and classic morphometrics
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介形类外壳变异性的分形分析：与几何和经典形态测量学的比较
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
R. Viola
中科院分区：
文献类型：
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作者：
G. Aiello;F. Barattolo;D. Barra;G. Fiorito;A. Mazzarella;P. Raia;R. Viola
Aiello， G., Barattolo， F., Barra， D., Fiorito， G., Mazzarella， A., Raia， P.和Viola， R. 2007。介形类壳变异的分形分析：与几何形态计量学和经典形态计量学的比较。古生物学报52(3):563-573。两种统计方法，分形几何和几何形态计量学，测试其适用性介形虫系统。为了进行比较，选择了两个形态相似的介形虫种（Krithe compressa和Krithe iniqua），它们的属级系统分类尚未完全确定。在意大利南部圣尼古拉山剖面的上新世上部样品中，每个物种的右瓣各有29个。利用统计分析（对形态计量学形状变量和D值的方差分析）来检验几何形态计量学和分形分析是否适用于两种物种的区分。两种方法都成功地在统计上区分了物种。两种介形虫的分形分析结果表明，赤鳉鱼的D值集中在1.31±0.02，赤鳉鱼的D值集中在1.40±0.02。几何形态计量学分析表明两个物种之间存在显著差异，并允许研究种群内变异性以及种群间的差异。几何形态指标显示的变化最大的特征是前庭面积和壳后轮廓，表明这些特征与所分析物种的系统特征最相关。分形几何和几何形态计量学都提供了种群变异的度量。分形分析的优点是在字符的选择上不存在任何主观性，最适合用于系统目的的复杂纹饰的分析。然而，几何形态计量学相对于分形分析的一个可能的优势是，它能够指出外壳上发生的统计上显著的形状变化。
Aiello, G., Barattolo, F., Barra, D., Fiorito, G., Mazzarella, A., Raia, P., and Viola, R. 2007. Fractal analysis of ostracod shell variability: A comparison with geometric and classic morphometrics. Acta Palaeontologica Polonica 52 (3): 563–573. Two statistical methods, fractal geometry and geometric morphometrics, are tested for their applicability to ostracod sys− tematics. For this comparison, two morphologically similar ostracod species (Krithe compressa and Krithe iniqua) whose genus−level systematics is still incompletely resolved, are selected. Twenty−nine right valves of each species were col− lected from the upper Pliocene samples at the Monte San Nicola section in southern Italy. Statistical analyses (MANOVA on morphometric shape variables, and D values) were utilized to test if geometric morphometrics and fractal analysis are appropriate into discriminating between the two species. Both methods succeeded in distinguishing the species statisti− cally. The fractal analysis of the two ostracod species shows D values centered on 1.31±0.02 for Krithe iniqua and on 1.40±0.02 for Krithe compressa. Geometric morphometric analysis indicates significant differences between the two spe− cies and allows studying intra−populational variability as well as. The most variable traits indicated by geometric morpho− metrics are vestibular area and posterior outline of the shell, indicating that these traits are the most relevant for the sys− tematics of the species analyzed. Both fractal geometry and geometric morphometrics provide a measure of population variability. Fractal analysis has the advantage of being free from any subjectivity in the selection of characters and could be most appropriate to use for analysis of complex ornamentation for systematic purposes. However, a possible advantage of geometric morphometrics over fractal analysis is its ability to indicate where statistically significant variations in shape occur on the shell.