Modeling Spatial Social Complex Networks for Dynamical Processes

Figure 2

(a) Effect of on the distribution of city sizes by rank, on a log-log scale. The inset highlights the case of that we use for our simulations. The fitted straight line has slope . (b) Spatial layout of a network of nodes generated with . For visual clarity, we divide the spatial domain into -by- equal-size square boxes (cells) and show only the nodes in populated cells, which are those with a population exceeding the average (per nonempty box). The three largest “cities" are color-coded in red (pop. 15,072), blue (pop. 5,567), and green (pop. 3,743). As noted in the main text, the cities were identified by the spatial City Clustering Algorithm as developed in [27], where the populated cells (boxes) are defined as above.

(a)

(b)