Figure 4

The rank-based analyses of randomized versions of the empirical datasets. (a) and (c) Conditional probabilities distribution of the randomized version R1 of D1 and D2 respectively (additional plots for the other randomization methods are on the Supporting Information). Rank variables were extracted from randomized versions of the datasets. Overall, the conditional probabilities have similar patterns as observed on the original data. However, when we look at the \(K_{s}\) distribution (in log-linear scale) ((b) and (d)), we see that the shuffled data deviates from the empirical data for \(K_{s} \le4\). It is interesting to observe that when \(K_{s} > 4\) the distributions for R1 and the original data converge again into a single curve.