Figure 10

Pairwise Kendall’s τ rank correlation for port rankings between all importance measures for nodes (left) and edges (right). “Capacity” means ranking by the sum of TEU capacity of all routes where a node or edge appears; “# Routes” means ranking by the total number of routes in which the node or edge appears at least once; and “Throughput” means ranking the top 100 ports by container throughput. “DCRG” means directed co-route graph, “UCRG” means undirected co-route graph, and “betw” corresponds to betweenness and “deg” to degree. “all” refers to the full set of minimum-route paths without filtering and “detour” refers to detour factor filtering. Route node and edge betweenness measures correlate strongly across all values of shipping distance filtering threshold α. All pairs of node importance measures have positive correlations. Edge betwenness in the directed and undirected co-route graphs are either neutral or slightly negatively correlated with other edge importance measures. Almost all p-values on the rank correlations coefficients were small; an x indicates that the p-value on the correlation coefficient was not significant at \(p=0.01\). Note that the correlations are symmetric