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GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE

2002; Oxford University Press; Volume: 56; Issue: 3 Linguagem: Inglês

10.1111/j.0014-3820.2002.tb01367.x

1558-5646

Leandro R. Monteiro, José Alexandre Felizola Diniz‐Filho, Sérgio F. dos Reis, Edílson Divino de Araújo,

Morphological variations and asymmetry

EvolutionVolume 56, Issue 3 p. 563-572 Free Access GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE LEANDRO R. MONTEIRO, LEANDRO R. MONTEIRO Laboratório de Ciěncias Ambientais, Centro de Biociencias e Biotecnologia, Universidade Estadual do Norte Fluminense, Av. Alberto Lamego 2000, Horto, Campos dos Goytacazes, 28015-620, Rio de Janeiro, Brasil E-mail: lrmont@uenf.brSearch for more papers by this authorJOSÉ ALEXANDRE F. DINIZ-FILHO, JOSÉ ALEXANDRE F. DINIZ-FILHO Departamento de Biologta Geral, Instituto de Ciěncias Biológicas, Universidade Federal de Goiás, cp 131, 74001-970, Goiǎnia, Goiás, Brasil E-mail: diniz@icb1.ufg.brSearch for more papers by this authorSÉRGIO F. DOS REIS, SÉRGIO F. DOS REIS Departamento de Parasitologia, Instituto de Biologia, Universidade Estadual de Campinas, Campinas, 13083-970, São Paulo, Brasil E-mail: sfreis@unicamp.brSearch for more papers by this authorEDILSON D. ARAÚJO, EDILSON D. ARAÚJO Universidade Tiradentes, Centro de Ciěncias Biológicas e da Saúde, Campus II, Av. Murilo Dantas, 300, 49032-490, Aracaju-SE, Brasil E-mail: edaraujo@yahoo.com.brSearch for more papers by this author LEANDRO R. MONTEIRO, LEANDRO R. MONTEIRO Laboratório de Ciěncias Ambientais, Centro de Biociencias e Biotecnologia, Universidade Estadual do Norte Fluminense, Av. Alberto Lamego 2000, Horto, Campos dos Goytacazes, 28015-620, Rio de Janeiro, Brasil E-mail: lrmont@uenf.brSearch for more papers by this authorJOSÉ ALEXANDRE F. DINIZ-FILHO, JOSÉ ALEXANDRE F. DINIZ-FILHO Departamento de Biologta Geral, Instituto de Ciěncias Biológicas, Universidade Federal de Goiás, cp 131, 74001-970, Goiǎnia, Goiás, Brasil E-mail: diniz@icb1.ufg.brSearch for more papers by this authorSÉRGIO F. DOS REIS, SÉRGIO F. DOS REIS Departamento de Parasitologia, Instituto de Biologia, Universidade Estadual de Campinas, Campinas, 13083-970, São Paulo, Brasil E-mail: sfreis@unicamp.brSearch for more papers by this authorEDILSON D. ARAÚJO, EDILSON D. ARAÚJO Universidade Tiradentes, Centro de Ciěncias Biológicas e da Saúde, Campus II, Av. Murilo Dantas, 300, 49032-490, Aracaju-SE, Brasil E-mail: edaraujo@yahoo.com.brSearch for more papers by this author First published: 09 May 2007 https://doi.org/10.1111/j.0014-3820.2002.tb01367.xCitations: 65AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract Abstract The recently developed geometric morphometrics methods represent an important contribution of statistics and geometry to the study of biological shapes. We propose simple protocols using shape distances that incorporate geometric techniques into linear quantitative genetic models that should provide insights into the contribution of genetics to shape variation in organisms. The geometric approaches use Procrustes distances in a curved shape space and distances in tangent spaces within and among families to estimate shape heritability. We illustrate the protocols with an example of wing shape variation in the honeybee, Apis mellifera. The heritability of overall shape variation was small, but some localized components depicting shape changes on distal wing regions showed medium to large heritabilities. The genetic variance-covariance matrix of the geometric shape variables was significantly correlated with the phenotypic shape variance-covariance matrix. A comparison of the results of geometric methods with the traditional multivariate analysis of interlandmark distances indicated that even with a larger dimensionality, the interlandmark distances were not as rich in shape information as the landmark coordinates. Quantitative genetics studies of shape should greatly benefit from the application of geometric methods. Citing Literature Volume56, Issue3March 2002Pages 563-572 ReferencesRelatedInformation