Figure 3. Influence of socio-economic clusters on mobility.
(a) Sketch of jump patterns from a sector i to sectors within the same cluster, j and l, and to sectors in a different cluster, j′, l′. Although sectors j′ and l′ have the same graph distance from sector i as sectors j and l respectively, transitions across cluster border have smaller probabilities. (b) Quantitative evidence of the tendency of players to avoid crossing borders. Red squares show the null model, i.e. the fraction of all pairs of sectors at a given distance d being in the same cluster. Blue circles show the fraction of measured jumps leading into the same cluster, per distance. Coincidence of the two curves would indicate that clusters have no effect on mobility. Clearly this is not the case – there is a strong tendency of players to avoid crossing the borders between clusters.