Figure 3

Characterization of communication capacity and activity.

(A) Probability distribution function (pdf) of the aggregated social connectivity k_i, number of created ties n_α,i and number of deleted ties n_ω,i at t = T, compared with the pdf for the average communication capacity over the observation window. (B) Relationship between the number of formed n_α,i and decayed n_ω,i ties in the observation window for the users in our database: the results form the PCA indicate that the 93% of the variation can be explained by the first component in the (0.70, 0.71) direction, i.e. almost the black line n_α,i = n_ω,i in the plot. Furthermore, the box plot shows the 25% and 75% percentiles (filled box) and 5% and 95% percentiles (whiskers) and the blue curves correspond to the 5% and 95% percentiles of the corresponding Poisson null model for our data (see Supplementary Section 5 ). (C) Density plot ρ(log ω_i, log α_i) for users with more than 5 ties formed and decayed. Dashed line is the α_i = ω_i relationship and the curves correspond to the contour lines ρ = 0.01 for the density of actual values of rates (red) and the ones obtained in the Poissonian null model (blue, see Supplementary Section 5 for further information).