Contour plots showing (a) significance vs. look ahead vs. k-value and (b) significance as a function of τ vs. k-value (where τ is obtained by multiplying the average waiting time based on that k-value by m). The lower boundary of this plot corresponds to m = 1 and also shows how the average waiting time depends on the k-value. The hashed region in the lower right is masked because we only analyze the mutual information for m ≥ 1. It is apparent that the information horizon detected between k = 0.6 and k = 2.4 appears to be consistent in duration (around 5 h), suggestive of an underlying dynamics that is independent of the threshold value.