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The total path length describes the sums of the depths of all vertices of the tree.
tot_path_length(phy)
Total path length
phylo object or ltable
C. Colijn and J. Gardy. Phylogenetic tree shapes resolve disease transmission patterns. Evolution, Medicine, and Public Health, 2014(1):96-108, 2014. ISSN 2050-6201. doi: 10.1093/emph/eou018.