Figure 4

Outcome of filtering on minimum-route path statistics. Comparison of path length distribution (left), route shipping distance distribution (middle), and number of paths per pair (right) for all minimum-route paths against filtered paths with increasing values of the distance filtering parameter α, as well as the detour rate thresholding method. All filtering methods reduce the maximum values in each distribution and more paths are filtered when α is closer to 1. The parameterless detour rate thresholding method is more conservative than filtering using \(\alpha < 1.75\). We run subsequent analyses with \(\alpha =1.15\), chosen heuristically because the results using this value fall somewhere in the middle in all distributions