Quantifying individual variation in reaction norms using random regression models fitted through Legendre polynomials: application in eucalyptus breeding.

An accurate, efficient and informative statistical method for analyses of genotype × environment (G × E) interactions is a key requirement for progress in any breeding program. Thus, the objective of this study was to quantify individual variation in reaction norms using random regression models fitted through Legendre polynomials in eucalyptus (Eucalyptus spp.) breeding. To this end, a data set with 215 eucalyptus clones of different species and hybrids evaluated in four environments for diameter at breast height (DBH) and Pilodyn penetration (PP) was used. Variance components were estimated by restricted maximum likelihood, and genetic values were predicted by best linear unbiased prediction. The best-fitted model for DBH and PP was indicated by the Akaike information criterion, and the significance of the genotype effects was tested using the likelihood ratio test. Genetic variability between eucalyptus clones and very high accuracies ( r^gg >=0.90 ) were detected for both traits. Reaction norms and eigenfunctions generated genetic insights into G × E interactions. This is the first study that quantified individual variation in reaction norms using random regression models fitted through Legendre polynomials in eucalyptus breeding and demonstrated the great potential of this technique.

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Bibliographic Details
Main Authors: ALVES, R. S., RESENDE, M. D. V. de, ROCHA, J. R. do A. S. de C., PEIXOTO, M. A., TEODORO, P. E., SILVA, F. F. e, BHERING, L. L., SANTOS, G. A. dos
Other Authors: RODRIGO SILVA ALVES, UFV; MARCOS DEON VILELA DE RESENDE, CNPCa; JOÃO ROMERO DO AMARAL SANTOS DE CARVALHO ROCHA, UFV; MARCO ANTÔNIO PEIXOTO, UFV; PAULO EDUARDO TEODORO, UFMS; FABYANO FONSECA E SILVA, UFV; LEONARDO LOPES BHERING, UFV; GLEISON AUGUSTO DOS SANTOS, UFV.
Format: Artigo de periódico biblioteca
Language:Ingles
English
Published: 2021-01-28
Subjects:Método Estatístico, Melhoramento Genético Vegetal, Interação Genética, Eucalipto, Statistical models, Genotype-environment interaction, Forest trees, Plant breeding, Eucalyptus,
Online Access:http://www.alice.cnptia.embrapa.br/alice/handle/doc/1129653
https://doi.org/10.1590/1678-4499.20200125
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