2005
DOI: 10.1080/10635150590947258
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Distances and Directions in Multidimensional Shape Spaces: Implications for Morphometric Applications

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Cited by 357 publications
(327 citation statements)
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References 59 publications
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“…This statistic represents the morphological variation among groups, scaled by the inverse of the pooled within-group covariance matrix. Unlike other distance measures used with landmark data (e.g., Procrustes distance), Mahalanobis D 2 accounts for nonindependence of landmark coordinates and within-group variation (Neff and Marcus, 1980;Klingenberg and Monteiro, 2005). Because the neutral rate of morphological evolution is expected to be proportional to the within-population variation, Mahalanobis D 2 can also be directly related to expected rates of morphological divergence predicted by population genetic theory for neutral evolution (Lynch, 1990).…”
Section: Methodsmentioning
confidence: 99%
“…This statistic represents the morphological variation among groups, scaled by the inverse of the pooled within-group covariance matrix. Unlike other distance measures used with landmark data (e.g., Procrustes distance), Mahalanobis D 2 accounts for nonindependence of landmark coordinates and within-group variation (Neff and Marcus, 1980;Klingenberg and Monteiro, 2005). Because the neutral rate of morphological evolution is expected to be proportional to the within-population variation, Mahalanobis D 2 can also be directly related to expected rates of morphological divergence predicted by population genetic theory for neutral evolution (Lynch, 1990).…”
Section: Methodsmentioning
confidence: 99%
“…Cluster analysis was performed to determine the morphological relationship of the species without the phylogenetic signal. We used Mahalanobis distances as measure of the similarity among species (Klingenberg and Monteiro 2005). The cluster was calculated using the unweighted pairgroup method algorithm (UPGMA).…”
Section: Statistical Analysesmentioning
confidence: 99%
“…Metode geometrijske morfometrije omogućavaju analize veličine i oblika morfološke celine kombinacijom uni-i multivarijantnih statističkih metoda i metoda direktnog grafičkog predstavljanja varijabilnosti oblika. Oblik morfološke celine u matematičkom smislu predstavlja sveukupnost geometrijskih informacija koje su nepromenljive u odnosu na skaliranje, translaciju i rotaciju (Klingenberg & Monteiro, 2005). Pri tome, matematički oblik morfološke celine isključuje efekte njene veličine, položaja i orijentacije u prostoru (Kendall, 1977).…”
Section: Geometrijska Morfometrijaunclassified