Fig. 4

Group Structure of 260 soybean lines a Phylogenetic tree of 260 soybean lines. b Clustering analysis when the number of subgroups is in the range 2–13, the colours represent separate groups. c Three-dimensional score plot (PC1, PC2, PC3) to discriminate between soybeans lines from three provinces of China. d Diagram showing the value of 260 samples based on clustering from 1 to 15; Cross validation error rate for each K value of 1–15, X-axis is K value 1–15, Y-axis is cross-validation errors. Aea1 represents the soybean lines from Jilin province, Area2 represents the soybean lines from Heilongjiang province, Area3 represents the soybean lines from Liaoning province