02564naa a2200385 a 450000100080000000500110000800800410001902200140006002400370007410000190011124501160013026000090024630000090025552014300026465000110169465000130170565000180171865000230173665000180175965300350177765300080181265300280182065300170184865300110186565300680187665300290194470000290197370000170200270000210201970000200204070000220206070000190208270000190210177300580212021399882022-02-24       2021    bl uuuu     u00u1 u    #d  a1678-45967 a10.1590/0103-8478cr202005302DOI1 aPEIXOTO, M. A.  aModels for optimizing selection based on adaptability and stability of cotton genotypes.h[electronic resource]  c2021  a8 p.  aIn multi-environment trials (MET), large networks are assessed for results improvement. However, genotype by environment interaction plays an important role in the selection of the most adaptable and stable genotypes in MET framework. In this study, we tested different residual variances and measure the selection gain of cotton genotypes accounting for adaptability and stability, simultaneously. Twelve genotypes of cotton were bred in 10 environments, and fiber length (FL), fiber strength (FS), micronaire (MIC), and fiber yield (FY) were determined. Model selection for different residual variance structures (homogeneous and heterogeneous) was tested using the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC). The variance components were estimated through restricted maximum likelihood and genotypic values were predicted through best linear unbiased prediction. The harmonic mean of relative performance of genetic values (HMRPGV) were applied for simultaneous selection for adaptability, stability, and yield. According to BIC heterogeneous residual variance was the best model fit for FY, whereas homogeneous residual variance was the best model fit for FL, FS, and MIC traits. The selective accuracy was high, indicating reliability of the prediction. The HMRPGV was capable to select for stability, adaptability and yield simultaneously, with remarkable selection gain for each trait.  aCotton  aAlgodão  aFibra Vegetal  aGossypium Hirsutum  aProdutividade  aBayesian Information Criterion  aBIC  aEnsaios multi ambientes  aEstabilidade  aHMRPGV  aMédia Harmônica do Desempenho Relativo dos Valores Genéticos  aMulti environment trials1 aEVANGELISTA, J. S. P. C.1 aALVES, R. S.1 aFARIAS, F. J. C.1 aCARVALHO, L. P.1 aTEODORO, L. P. R.1 aTEODORO, P. E.1 aBHERING, L. L.  tCiência Ruralgv. 51, n. 5, e20200530, p. 1-8, 2021.