Figure 1
From: Transformation starts at the periphery of networks where pushback is less
Effect of centrality and the number of connections (‘degree’) on the vulnerability of a node to trigger a systemic transition in the network, based on exponential networks of the deterministic Allee effect model. (a) Combined effects of centrality and degree. The color represents the critical value of parameter m at which a perturbation of a node causes a systemic transition, based on 2D interpolation. Note that a low critical value of the loss parameter m implies a high vulnerability (indicated by the arrow). The red hotspot indicates the combination of degree and centrality of nodes from where change starts most easily. (b) The effect of the degree of the perturbed node. Each curve represents the results for a given bin of centralities. (c) The effect of centrality of the perturbed node, with curves representing nodes within a given bin of degrees. Parameter d = 0.15 (other parameters as in Table S1). Average critical m values in plots (b) and (c) are plotted only if the value is based on at least 10 nodes.
