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Updated: Jul 13, 2026

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Basics of Multivariate Analysis in Neuroimaging Data
Published on: July 25, 2010
Regional dissociated heterochrony in multivariate analysis.
P Mitteroecker1, P Gunz, G W Weber
1Institute for Anthropology, University of Vienna, Althanstrasse 14, A-1091 Vienna, Austria. philipp.mitteroecker@univie.ac.at
Summary
Heterochrony, a framework for studying development and evolution, struggles with multivariate shape data. This study shows classic heterochrony terms are insufficient for complex species growth trajectories.
Area of Science:
- Evolutionary Biology
- Developmental Biology
- Geometric Morphometrics
Background:
- Heterochrony traditionally uses a univariate concept of shape, limiting its application to multivariate data.
- Multivariate shape data analysis, while visually similar to bivariate allometry, requires new terminology beyond classic heterochrony.
- Understanding evolutionary changes in developmental timing requires robust analytical frameworks.
Purpose of the Study:
- To investigate the limitations of classic heterochrony in multivariate shape analysis.
- To explore the relationship between multivariate shape, size, and developmental trajectories.
- To adapt heterochrony concepts for modern geometric morphometric approaches.
Main Methods:
- Simulated idealized multivariate ontogenetic trajectories to analyze behavior in principal component plots.
- Applied geometric morphometrics to adult and subadult crania of Pan paniscus and P. troglodytes.
- Digitized 47 landmarks and 144 semilandmarks on neurocranial surfaces to capture detailed shape data.
Main Results:
- Classic heterochrony terminology is insufficient for describing complex multivariate shape changes during development.
- "Dissociation" in heterochrony is algebraically equivalent to regional dissociation, varying by anatomical region.
- Species' growth trajectories must align perfectly in shape space for classic heterochrony to apply simply.
- The growth trajectories of Pan paniscus and P. troglodytes are too complex for global heterochrony summaries.
Conclusions:
- Multivariate geometric morphometrics reveals complexities in evolutionary developmental patterns that classic heterochrony cannot fully capture.
- New analytical approaches are needed to understand heterochrony in the context of complex, multivariate shape evolution.
- The study highlights the limitations of univariate frameworks in modern evolutionary and developmental biology research.
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