[Paper] “Data-driven stochastic simulation leading to the allometric scaling laws in complex systems” published by WRH professors Misako Takayasu and Shlomo Havlin
WRH Specially Appointed Professror Shlomo Havlin (Institute of Innovative Research ) published a paper in the American Physical Society .
“Data-driven stochastic simulation leading to the allometric scaling laws in complex systems”
We propose a data-driven stochastic method that allows the simulation of a complex system’s long-term evolution. Given a large amount of historical data on trajectories in a multi-dimensional phase space, our method simulates the time evolution of a system based on a random selection of partial trajectories in the data without detailed knowledge of the system dynamics. We apply this method to a large data set of time evolution of approximately one million business firms for a quarter century. Accordingly, from simulations starting from arbitrary initial conditions, we obtain a stationary distribution in three-dimensional log-size phase space, which satisfies the allometric scaling laws of three variables. Furthermore, universal distributions of fluctuation around the scaling relations are consistent with the empirical data.