Figure 3

Results from the analysis of position ratio profiles for individuals in Figure  1 (B) with significant level \(\pmb{\alpha=0.05}\) . (A) Plots of position ratio profiles for all individuals. The color bar represents the log value of position ratio profiles. (B) Dendrogram of the 30 position based on the position ratio profiles for individuals in Figure 1(B). (C) Distribution of the economic output \(y_{i}\) of individuals in Figure 1(B). (D) Plots of the similarities \(s_{i,m}\) for all individuals. Similarity is defined as the correlation of position ratio profiles between individual i and m. The color bar stands for the value of similarities \(s_{i,m}\). (E) Evaluate the optimal number of clusters k by using the Davies-Bouldin criterion. (F) Distribution of the individual position diversity \(d_{i}\) in Figure 1(B). (G), (H), (I) Plots of the relations between the economic output and the in-degree \(k_{\mathrm{in}}\), out-degree \(k_{\mathrm{out}}\), position diversity \(d_{i}\). (J), (K), (L) Plots of the relations between the economic output and the position diversity \(d_{i}\) of individuals with \(k_{\mathrm{in}}, k_{\mathrm{out}}= 1, 3, 5\).