GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE Export

@article{citeulike:5083952, 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.}, address = {Laboratrio de Cincias 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.br; Departamento de Biologta Geral, Instituto de Cincias Biolgicas, Universidade Federal de Gois, cp 131, 74001-970, Goinia, Gois, Brasil E-mail: diniz@icb1.ufg.br; Departamento de Parasitologia, Instituto de Biologia, Universidade Estadual de Campinas, Campinas, 13083-970, So Paulo, Brasil E-mail: sfreis@unicamp.br; Universidade Tiradentes, Centro de Cincias Biolgicas e da Sade, Campus II, Av. Murilo Dantas, 300, 49032-490, Aracaju-SE, Brasil E-mail: edaraujo@yahoo.com.br}, author = {Monteiro, Leandro R. and Jos\'{e} Alexandre and Reis, S\'{e}rgio F. and Ara\'{u}jo, Edilson D.}, citeulike-article-id = {5083952}, citeulike-linkout-0 = {http://dx.doi.org/10.1111/j.0014-3820.2002.tb01367.x}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/118941087/ABSTRACT}, doi = {10.1111/j.0014-3820.2002.tb01367.x}, journal = {Evolution}, keywords = {biology, evolution, geometry}, number = {3}, pages = {563--572}, posted-at = {2009-07-07 09:14:46}, priority = {2}, title = {GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE}, url = {http://dx.doi.org/10.1111/j.0014-3820.2002.tb01367.x}, volume = {56}, year = {2002} }

TY - JOUR ID - citeulike:5083952 L3 - citeulike-article-id:5083952 N2 - 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. IS - 3 JF - Evolution AD - Laboratrio de Cincias 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.br; Departamento de Biologta Geral, Instituto de Cincias Biolgicas, Universidade Federal de Gois, cp 131, 74001-970, Goinia, Gois, Brasil E-mail: diniz@icb1.ufg.br; Departamento de Parasitologia, Instituto de Biologia, Universidade Estadual de Campinas, Campinas, 13083-970, So Paulo, Brasil E-mail: sfreis@unicamp.br; Universidade Tiradentes, Centro de Cincias Biolgicas e da Sade, Campus II, Av. Murilo Dantas, 300, 49032-490, Aracaju-SE, Brasil E-mail: edaraujo@yahoo.com.br EP - 572 TI - GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE VL - 56 SP - 563 KW - biology KW - evolution KW - geometry AU - Monteiro, Leandro AU - José Alexandre AU - Reis, Sérgio AU - Araújo, Edilson PY - 2002/// UR - http://dx.doi.org/10.1111/j.0014-3820.2002.tb01367.x ER -