Fig. 2.
a Typical distribution of three models in a bi-logarithmic scale. Distributions show a line in a specific range of x while the exponential and log-normal models decrease faster in the tail. b The Kolmogorov–Smirnov test computed between the typical model and data cumulative distribution. The maximum distance between the cumulative distribution function is used as the criteria for the difference between distributions. c The estimation method of fitting range. The low cutoff is set to 2 and the high cutoff is determined by the probability of the avalanches. The high cutoff is the largest occurrence with