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Mixed Model, AMMI and Eberhart-Russel Comparison via Simulation on Genotype × Environment Interaction Study in Sugarcane  [PDF]
Guilherme Moraes Ferraudo, Dilermando Perecin
Applied Mathematics (AM) , 2014, DOI: 10.4236/am.2014.514205
Abstract: Brazil is the world leader in sugarcane production and the largest sugar exporter. Developing new varieties is one of the main factors that contribute to yield increase. In order to select the best genotypes, during the final selection stage, varieties are tested in different environments (locations and years), and breeders need to estimate the phenotypic performance for main traits such as tons of cane yield per hectare (TCH) considering the genotype × environment interaction (GEI) effect. Geneticists and biometricians have used different methods and there is no clear consensus of the best method. In this study, we present a comparison of three methods, viz. Eberhart-Russel (ER), additive main effects and multiplicative interaction (AMMI) and mixed model (REML/BLUP), in a simulation study performed in the R computing environment to verify the effectiveness of each method in detecting GEI, and assess the particularities of each method from a statistical standpoint. In total, 63 cases representing different conditions were simulated, generating more than 34 million data points for analysis by each of the three methods. The results show that each method detects GEI differently in a different way, and each has some limitations. All three methods detected GEI effectively, but the mixed model showed higher sensitivity. When applying the GEI analysis, firstly it is important to verify the assumptions inherent in each method and these limitations should be taken into account when choosing the method to be used.
Comparing Biplot Multivariate Analyses with Eberhart and Russell’ method for genotype x environment interaction  [PDF]
Heraldo Namorato,Glauco Vieira Miranda,Leandro Vagno de Souza,Lucimar Rodrigues Oliveira
Crop Breeding and Applied Biotechnology , 2009,
Abstract: The aim of this study was to compare the multivariate methods GGE (Genotype main effects and Genotype xEnvironment interaction) and AMMI (Additive Main effects and Multiplicative Interaction) with the method of Eberhart andRussell for interpreting genotype x environment interaction. The AMMI and GGE analysis explained around 50% of the sumof squares of the genotype x environment interaction, whereas the method of Eberhart and Russell explained only 9.1 and15.8% each year. The cultivars classified as minor contribution to the genotype x environment interaction by methods ofAMMI and GGE were also the same classification method of Eberhart and Russell. The AMMI and the GGE biplot analysesare more efficient than the Eberhart and Russell. The GGE biplot explains a higher proportion of the sum of squares of theGxE interaction and is more informative with regards to environments and cultivar performance than the AMMI analysis.
Stability and adaptability of early maturing sugarcane clones by AMMI analysis  [PDF]
Edson Perez Guerra,Ricardo Augusto de Oliveira,Edelclaiton Daros,José Luís Camargo Zambon
Crop Breeding and Applied Biotechnology , 2009,
Abstract: Stability and adaptability of 14 early maturing sugarcane clones were evaluated at 11 locations in the State ofParaná, in the plant cane and ratoon cycles, by the AMMI method. By AMMI2, 59.44% cumulative variance was explained inplant cane and 54.22% in ratoon cane by the first two principal components of tons of pol per hectare (TPH). For genotypeRB966928 the TPH was medium to high, phenotypic stability high and adaptability general, recommending this early maturingclone with wide adaptability for northern Paraná. The genotype-environment interaction was lowest in Paranavaí andMandagua ú (most stable locations), where the ranking of genotypes was more reliable than the means of the environmentstested.
Evaluation of sugarcane genotypes and production environments in Paraná by GGE biplot and AMMI analysis  [PDF]
Pedro Henrique Costa de Mattos,Ricardo Augusto de Oliveira,Jo?o Carlos Bespalhok Filho,Edelclaiton Daros
Crop Breeding and Applied Biotechnology , 2013,
Abstract: The purpose of this study was to evaluate sugarcane genotypes for the trait tons of sugar per hectare (TSH), stratifying five production environments in the state of Paraná. The performance of 20 genotypes and 2 standard cultivars was analyzed in three consecutive growing seasons by the statistical methods AMMI and GGE Biplot. The GGE Biplot grouped the locations into two megaenvironments and indicated the best-performing genotypes for each one, facilitating the selection of superior genotypes. Another advantage of GGEBiplot is the definition of an ideal genotype (G) and environment (E), serving as reference for the evaluation of genotypes and choice of environments with greater GE interaction. Both models indicated RB006970, RB855156 and RB855453 as the genotypes with highest TSH and S o Pedro do Ivai as the environment with the greatest GE interaction. Both approaches explained a high percentage of the sum of squares, with a slight advantage of AMMI over GGE Biplot analysis.
Association between Griffing's diallel and the adaptability and stability of Eberhart and Russel
Pacheco, Cleso Ant?nio Patto;Cruz, Cosme Dami?o;Santos, Manoel Xavier dos;
Genetics and Molecular Biology , 1999, DOI: 10.1590/S1415-47571999000300027
Abstract: the objective of the present work was to provide a methodology to study the inheritance of adaptability and stability through the breakdown of eberhart and russell regression coefficients and regression deviations in effects due to the mean and additive genetic effects (gi's and gj's) as well as dominance effects (sij's) of griffing′s methodology, when the diallel is conducted in several environments. it was concluded that the adaptability and stability parameters are determined in the same manner as are genetic effects. so an f1 cross inherits half the general combining ability (gca) mean effect from each parent, while the effects due to specific combining ability (sca) are subjected to the same considerations relative to sij's, i.e., they are dependent on specific combinations.
Association between Griffing's diallel and the adaptability and stability of Eberhart and Russel  [cached]
Pacheco Cleso Ant?nio Patto,Cruz Cosme Dami?o,Santos Manoel Xavier dos
Genetics and Molecular Biology , 1999,
Abstract: The objective of the present work was to provide a methodology to study the inheritance of adaptability and stability through the breakdown of Eberhart and Russell regression coefficients and regression deviations in effects due to the mean and additive genetic effects (gi's and gj's) as well as dominance effects (sij's) of Griffing′s methodology, when the diallel is conducted in several environments. It was concluded that the adaptability and stability parameters are determined in the same manner as are genetic effects. So an F1 cross inherits half the general combining ability (GCA) mean effect from each parent, while the effects due to specific combining ability (SCA) are subjected to the same considerations relative to sij's, i.e., they are dependent on specific combinations.
Compara??o de métodos para avaliar a adaptabilidade e estabilidade produtiva em algodoeiro
Silva Filho, Jo?o Luís da;Morello, Camilo de Lelis;Farias, Francisco José Correia;Lamas, Fernando Mendes;Pedrosa, Murilo Barros;Ribeiro, José Lopes;
Pesquisa Agropecuária Brasileira , 2008, DOI: 10.1590/S0100-204X2008000300009
Abstract: the objective of this work was to compare different methods used to estimate adaptability and stability of 17 cotton genotypes evaluated in 23 locations of the brazilian savannah. genotype and environment effects and genotype x environment interaction were significant. according to ecovalence and ammi models, cultivar brs cedro showed the best stability. varieties delta penta and brs ipê were among the most unstable genotypes, but not among the most productive. using the methods of eberhart & russel, lin & binns and annicchiarico, genotypes brs 269 - buriti, fmt 701 and cnpa go 2001-999 were the most stable and among the five most productive on average. the evaluation of the specific adaptabilities provided by the ammi analysis is of great importance in the study of the behavior of genotypes. the amount of information generated and the facilities of interpretation favors lin & binns method, which can be complemented by an ammi analysis.
Genotype, Environment and Their Interactive Effects on Main Traits of Sugarcane Varieties
甘蔗品种主要性状的基因型与环境及其互作效应分析

LUO Jun,ZHANG Hua,QUE You-xiong,
罗俊
,张华,阙友雄

热带亚热带植物学报 , 2012,
Abstract: The yield stability and adaptability of twelve sugarcane lines in five locations at the sixth national regional trials were studied by using AMMI (additive main effects and multiplicative interaction) biplot method. The results showed that there were significant differences in six yield traits among genotypes and environments, so did the interaction effects between genotype and environment. FN30 and YG16 had high stem yield and sugar content with strong yield stability. However, the overall stability of the two sugarcane lines was not high, which indicated that they should be promoted in a certain region. AMMI model could clearly explain the genotype effect, environment effect and genotype-environment interaction effect on yield trait.
Temporal and Spatial Factors Affecting the Nature of Genotype x Environment Interaction in Sugarcane (Saccharum officinarum L.) under Ethiopian Agro-Climatic Conditions: An Integrated Approach  [PDF]
Mebrahtom Ftwi, Firew Mekbib, Eyasu Abraha
American Journal of Plant Sciences (AJPS) , 2017, DOI: 10.4236/ajps.2017.87119
Abstract: Analytical approaches are important for identification the causes of Genotype x environment interaction (GEI) in multi-environment trials (MET). The objectives of this investigation were to explore the nature and causes of the GEI in sugarcane under Ethiopian agro ecological conditions. Data of Cane yield, recoverable sucrose% and sugar yield obtained from 13 test environments were subjected to Additive Main and Multiplicative Interaction (AMMI2) for empirical study. For environmental characterization, mean values of twenty seven temporal and spatial factors were subjected to Principal Component Analysis (PCA). Moreover, to identify the environmental factors affecting the patterns of GEI and its components, mean values of these factors were correlated with environment AMMI2 IPCA scores of the yield traits studied. Results of the present study indicated that the GEI accounted for larger variation than the genotypic effects which suggested its importance and complexity. The PCA bi-plot successfully identified the environmental factors that most discriminated the test environments (crop years and locations). The correlation analysis between the environmental factors and environmental AMMI2 IPCA scores adequately identified the environmental factors affecting GEI and its components. Soil organic matter% and soil clay%, pan evaporation at establishment, relative humidity at growth stage and harvesting month were the major factors that substantially affect the GEI interaction patterns in cane yield while maximum relative humidity recorded during the growing season, all temperature regimes recorded during the entire growing season and at different crop stages were the major factors that affect GEI in recoverable sucrose%. Moreover, the pattern of GEI in sugar yield was significantly affected by harvest age, percent of clay in soil, altitude, relative humidity at harvest and pan evaporation at establishment. For efficient environmental selection and networks, genotype evaluations and formulation of appropriate sugarcane breeding strategy, f METs should adopt the inclusion of these environmental factors identified as major factors influencing the patterns of GEI. Moreover, more information will be generated if other physiological and soil moisture stress indices are included in future GEI studies in sugarcane.
Multivariate analyses of genotype x environment interaction of popcorn
Miranda, Glauco Vieira;Souza, Leandro Vagno de;Guimar?es, Lauro José Moreira;Namorato, Heraldo;Oliveira, Lucimar Rodrigues;Soares, Marcelo Oliveira;
Pesquisa Agropecuária Brasileira , 2009, DOI: 10.1590/S0100-204X2009000100007
Abstract: the objectives of this work were to evaluate the genotype x environment (gxe) interaction for popcorn and to compare two multivariate analyses methods. nine popcorn cultivars were sown on four dates one month apart during each of the agricultural years 1998/1999 and 1999/2000. the experiments were carried out using randomized block designs, with four replicates. the cv. zélia contributed the least to the gxe interaction. the cv. vi?osa performed similarly to cv. rosa-claro. optimization of gxe was obtained for cv. cms 42 for a favorable mega-environment, and for cv. cms 43 for an unfavorable environment. multivariate analysis supported the results from the method of eberhart & russell. the graphic analysis of the additive main effects and multiplicative interaction (ammi) model was simple, allowing conclusions to be made about stability, genotypic performance, genetic divergence between cultivars, and the environments that optimize cultivar performance. the graphic analysis of the genotype main effects and genotype x environment interaction (gge) method added to ammi information on environmental stratification, defining mega-environments and the cultivars that optimized performance in those mega-environments. both methods are adequate to explain the genotype x environment interactions.
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