Laffont, Wright, and Hanafi presented GGB genotype plus genotype-by-block of environments biplots, which are useful to enhance the view of mega-environments consisting of multiple locations. In environments with small vectors, the yield stability is high. This consistent association between the evaluated environments suggests that the same information about the genotypes may be obtained in the same environments, thus enabling a reduction in the costs of evaluating the genotypes Yan; Holland, When the two-way data is subjected to singular value decomposition, it is decomposed into three matrices: The vectors originating from the center of the biplot 0; 0 , perpendicular to the sides of the polygon, divided the graph into six sectors Figure 1. Here is a biplot generated by GGEbiplot. For the treatment with ideal nitrogen availability, sowing fertilization was performed according to a soil analysis, with 32 kg ha -1 of nitrogen added, whereas topdressing for nitrogen supplementation was performed at kg ha
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As there is no definition of heterotic groups of popcorn, the populations cannot be considered to be representative of different heterotic groups. The objective of this study was to evaluate 22 sugarcane genotypes in 5 production environments, based on the adaptability and stability of genotypes using 2 statistical methods, GGEBiplot and AMMI. Thus, the selection of genotypes that efficiently use nitrogen based on GY must be specific for the environment and site and must gfe be performed in terms of the average performance because, under conditions of low nutritional supplementation, the alleles that control the expression of a particular trait differ at least to some extent from the alleles that control that trait under ideal supplementation conditions Souza et al.
GGE Biplot projection in discriminating the efficiency of popcorn lines to use nitrogen
On the other hand, in common maize, it has been reported that additive gye are more important for the components of nitrogen use efficiency NUE DoVale gbe al. Regarding the relationship between the environments, the cosines of the angles between the vectors of each environment are related to the correlation coefficients between them. The greater the projection of the genotype on the axis of the AEC ordinate, the greater the instability of the genotype, representing a greater interaction with the environments.
Thus, various methodologies have been proposed for investigating GE interactions.
GGE Biplot Analysis: A Graphical Tool for Breeders, Geneticists, and Agronomists - CRC Press Book
Selective accuracy was close to 1, showing that gge genotypes were enough to provide contrasting success in selection procedures. The IR can be calculated for each principal component using the proportion of the total variance explained by each principal component multiplied by k. Gve standardized biplots, a unit circle is drawn. Performance of tropical early maturing maize cultivars in multiple stress environments.
In Figure 1Athe genotype of the vertex of the polygon, contained in a mega-environment, had the highest yield in at least one environment and was viplot of the best-performing genotypes in the other environments Yan and Rajcan After singular values are partitioned, the positions of the entries in the biplot is defined by the entry eigenvector matrix and those of the testers by the tester eigenvector matrix.
Genotype plus Genotype-By-Block-of-Environments Biplots
Thus, the objective of this study was to identify efficient and responsive popcorn inbred lines to the use of nitrogen and exhibit a good expansion volume. It is possible to select Individuals who are efficient in the use of nitrogen and exhibit a good expansion volumes. The significant difference between the genotypes indicates the existence of genetic bipllt among the popcorn inbred lines.
The objective of this research was to identify efficient popcorn inbred viplot and responsive nitrogen use and exhibit a good expansion volume. The inbred lines L59 and L77 exhibited yields above the overall mean in the environments with low nitrogen availability, thus showing potential for adaptation to stress conditions. This option will be much facilitated if the influence of additivity on the expression of efficiency in nitrogen use becomes higher.
For giplot methodologies that use principal component analysis, the first interaction axes contain a greater standard percentage, with a decrease in the subsequent axes.
This result indicated that the bkplot were characterized as environmentally-induced changes. Based on this definition and the high accumulated value of explanation of percentages of the sum of the squares on the two first axes of interaction by both approaches Table 1the adaptability and stability of sugarcane genotypes can be graphically interpreted, considering only biplots with the first two axes of GE interaction.
Some concepts What is a biplot The concept of biplot was first developed by Gabriel Mathematically, GGE is the genotype by environment data matrix after the environment means are subtracted.
Thus, as the number of selected axes is increased, the noise percentage increases, reducing the predictive power of the analysis Oliveira et al. The number of stalks per plot was also counted, to determine the number of stalks per meter NSM.
At harvest, three samples of 15 stalks without tips per plot were collected without burning the sugarcane from the two central rows, while in front and at the end of the plot, 1 meter was not evaluated border. R setup library "knitr" knitr:: Positive and negative correlations between test environments were also detected by Kaya et al.
The stability of genotype RB G9 was high, compared with bipolt standards, for being close to the origin of AMMI2, but its average yield was much lower than that of the other genotypes Figure 1B and Table 2. QTL by environment biplot. August 02, ; Accepted: Biplot with environment focus For an environment-focused biplot, a little more effort is needed as the eigenvalues from NIPALS are also required.
GGE Biplot Analysis: A Graphical Tool for Breeders, Geneticists, and Agronomists
Multiplicative statistical approaches for assessing interactions, such as the GGE biplot method, are very useful for studying performance patterns bipplot genotypes according to the environment and making predictions about the average performance of genotypes in specific environments Karimizadeh et al.
Mega-environments are those sectors which comprise one or more environments.
Canadian Journal of Plant Science.
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