Before revision:  In this paper, we clarify the relationship between this non-trivial scaling and the structure of the network by applying mean-field approximation of  diffusion in a complex network to a money-transport model , which has been numerically shown to reproduce this empirical scaling.
After revision:  In this paper, we clarify the relationship between this nonlinear scaling and the structure of the network by applying mean-field approximation of diffusion in a complex network to a money-transport model , which has been numerically shown to reproduce this empirical scaling.