A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry

Many studies have suggested that developmental instability (DI) could lead to asymmetric development, otherwise known as fluctuating asymmetry (FA). Several attempts to unravel the biological meaning of FA have been made, yet the main step in estimating FA is to remove the effects of directional asy...

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Main Authors: Omid Ekrami, Peter Claes, Julie D. White, Seth M. Weinberg, Mary L. Marazita, Susan Walsh, Mark D. Shriver, Stefan Van Dongen
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/3/348
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spelling doaj-4040484d9701428ab710c5d813693e6f2020-11-25T01:55:07ZengMDPI AGSymmetry2073-89942020-03-0112334810.3390/sym12030348sym12030348A Multivariate Approach to Determine the Dimensionality of Human Facial AsymmetryOmid Ekrami0Peter Claes1Julie D. White2Seth M. Weinberg3Mary L. Marazita4Susan Walsh5Mark D. Shriver6Stefan Van Dongen7Evolutionary Ecology Group, Department of Biology, University of Antwerp, 2610 Antwerp, BelgiumDepartment of Electrical Engineering, ESAT/PSI, KU Leuven, 3000 Leuven, BelgiumDepartment of Anthropology, Pennsylvania State University, University Park, State College, PA 16801, USADepartment of Oral Biology, Center for Craniofacial and Dental Genetics, University of Pittsburgh, Pittsburgh, PA 15260, USADepartment of Oral Biology, Center for Craniofacial and Dental Genetics, University of Pittsburgh, Pittsburgh, PA 15260, USADepartment of Biology, Indiana University Purdue University Indianapolis (IUPUI), Indianapolis, IN 46202, USADepartment of Anthropology, Pennsylvania State University, University Park, State College, PA 16801, USAEvolutionary Ecology Group, Department of Biology, University of Antwerp, 2610 Antwerp, BelgiumMany studies have suggested that developmental instability (DI) could lead to asymmetric development, otherwise known as fluctuating asymmetry (FA). Several attempts to unravel the biological meaning of FA have been made, yet the main step in estimating FA is to remove the effects of directional asymmetry (DA), which is defined as the average bilateral asymmetry at the population level. Here, we demonstrate in a multivariate context that the conventional method of DA correction does not adequately compensate for the effects of DA in other dimensions of asymmetry. This appears to be due to the presence of between-individual variation along the DA dimension. Consequently, we propose to decompose asymmetry into its different orthogonal dimensions, where we introduce a new measure of asymmetry, namely fluctuating directional asymmetry (F-DA). This measure describes individual variation in the dimension of DA, and can be used to adequately correct the asymmetry measurements for the presence of DA. We provide evidence that this measure can be useful in disentangling the different dimensions of asymmetry, and further studies on this measure can provide valuable insight into the underlying biological processes leading to these different asymmetry dimensions.https://www.mdpi.com/2073-8994/12/3/348fluctuating asymmetry3d morphometricsdirectional asymmetrysexual dimorphism
collection DOAJ
language English
format Article
sources DOAJ
author Omid Ekrami
Peter Claes
Julie D. White
Seth M. Weinberg
Mary L. Marazita
Susan Walsh
Mark D. Shriver
Stefan Van Dongen
spellingShingle Omid Ekrami
Peter Claes
Julie D. White
Seth M. Weinberg
Mary L. Marazita
Susan Walsh
Mark D. Shriver
Stefan Van Dongen
A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry
Symmetry
fluctuating asymmetry
3d morphometrics
directional asymmetry
sexual dimorphism
author_facet Omid Ekrami
Peter Claes
Julie D. White
Seth M. Weinberg
Mary L. Marazita
Susan Walsh
Mark D. Shriver
Stefan Van Dongen
author_sort Omid Ekrami
title A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry
title_short A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry
title_full A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry
title_fullStr A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry
title_full_unstemmed A Multivariate Approach to Determine the Dimensionality of Human Facial Asymmetry
title_sort multivariate approach to determine the dimensionality of human facial asymmetry
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-03-01
description Many studies have suggested that developmental instability (DI) could lead to asymmetric development, otherwise known as fluctuating asymmetry (FA). Several attempts to unravel the biological meaning of FA have been made, yet the main step in estimating FA is to remove the effects of directional asymmetry (DA), which is defined as the average bilateral asymmetry at the population level. Here, we demonstrate in a multivariate context that the conventional method of DA correction does not adequately compensate for the effects of DA in other dimensions of asymmetry. This appears to be due to the presence of between-individual variation along the DA dimension. Consequently, we propose to decompose asymmetry into its different orthogonal dimensions, where we introduce a new measure of asymmetry, namely fluctuating directional asymmetry (F-DA). This measure describes individual variation in the dimension of DA, and can be used to adequately correct the asymmetry measurements for the presence of DA. We provide evidence that this measure can be useful in disentangling the different dimensions of asymmetry, and further studies on this measure can provide valuable insight into the underlying biological processes leading to these different asymmetry dimensions.
topic fluctuating asymmetry
3d morphometrics
directional asymmetry
sexual dimorphism
url https://www.mdpi.com/2073-8994/12/3/348
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