Figure 3

Origin-dependent mobility behavior. Heat maps which show the matrices of the travel frequency of a typical user from one location to another in (a) the real data, and (b) the shuffled data of the selected typical user. The location visitation probability in (c) the real data and (d) the shuffled data by the selected typical user originated from specific locations. As an example, the red curves in (c) and (d) shows the visitation probability distribution of the selected user originated from location 1, while the black curves show the visitation probability distribution aggregated from all starting locations. In (e) and (f), we show the probability of locations from which the most frequent locations to be next visited is the same as the overall most frequently visited locations (i.e. \(p_{ j^{*}_{i}=j^{*}}\)). The probability \(p_{ j^{*}_{i}=j^{*}}\) is calculated for each user in both the real data and the shuffled data. (e) shows the scatter plot of \(p_{ j^{*}_{i}=j^{*}}\), indicating that in the real data the most likely locations to be next visited from many locations are different from the overall most frequently locations to be visited. (f) shows the distribution of \(p_{ j^{*}_{i}=j^{*}}\) in real data and the shuffled data