Figure 3
From: Scale-free behavioral cascades and effective leadership in schooling fish

Leadership probability \(\chi _i\) computed for each fish i in the three data series considered A, B and C columns, left to right) and for different values of the turning threshold \(\varphi _\mathrm {th}=0.25, 0.5, 1.0\) and 1.2 (rows, top to bottom). Symbols are color-coded with the number \(N_\alpha\) of actual avalanches in which each fish participates. Full lines represent the average leadership probability in a null model of uncorrelated avalanches. The shadowed regions represents the \(99\%\) confidence interval of this value.