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Multivariate Allometry

  • Christian Peter Klingenberg
Chapter
Part of the NATO ASI Series book series (NSSA, volume 284)

Abstract

The subject of allometry is variation in morphometric variables or other features of organisms associated with variation in size. Such variation can be produced by several biological phenomena, and three different levels of allometry are therefore distinguished: static allometry reflects individual variation within a population and age class, ontogenetic allometry is due to growth processes, and evolutionary allometry is the result of phylogenetic variation among taxa. Most multivariate studies of allometry have used principal component analysis. I review the traditional technique, which can be interpreted as a least-squares fit of a straight line to the scatter of data points in a multidimensional space spanned by the morphometric variables. I also summarize some recent developments extending principal component analysis to multiple groups. “Size correction” for comparisons between groups of organisms is an important application of allometry in morphometrics. I recommend use of Burnaby’s technique for “size correction” and compare it with some similar approaches. The procedures described herein are applied to a data set on geographic variation in the waterstrider Gerris costae (Insecta: Heteroptera: Gerridae). In this example, I use the bootstrap technique to compute standard errors and perform statistical tests. Finally, I contrast this approach to the study of allometry with some alternatives, such as factor analytic and geometric approaches, and briefly analyze the different notions of allometry upon which these approaches are based.

Keywords

Growth Vector Systematic Zoology Allometric Coefficient Negative Allometry Middle Femur 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Christian Peter Klingenberg
    • 1
  1. 1.Department of Biological SciencesUniversity of AlbertaEdmontonCanada

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