Fig. 3: Social Exploration and Preferential Return (social-EPR) model.
From: Mobility patterns are associated with experienced income segregation in large US cities
a Schematic description of the individual mobility model. After n stays the individual has visited Sn = 6 unique places. Those places are visited by majority (filled) or minority (empty) of their income group. Ball size is proportional to the fraction of time they spent at the place (τα). For the n + 1 stay, the individual can either visit a new location with probability \({P}_{{{{{{{{\rm{new}}}}}}}}}=\rho /{S}_{n}^{\gamma }\) or returning to a previously visited location with probability 1 − Pnew. In the former case, the individual decides to visit a place where their group income is the majority with probability 1 − σs, and explore other types of places with probability σs. In the latter case, the next location will be chosen with probability Πα ∝ τα. b Distribution of the fraction of time spent at a place for different groups of ST. Dashed line corresponds to the analytical solution, i.e., \(P({\tau }_{i\alpha }) \sim 1/{\tau }_{i\alpha }^{(2+\gamma )/(1+\gamma )}\), of the social-EPR model (see Supplementary Note 4). c Distributions of the observed values of place σp and social σs exploration for each individual in our data set. Dashed lines correspond to the mean of the distribution. d (Averaged) individual income segregation as a function of the place and social exploration for the real data and for the data produced by the social-EPR model.
