“…Tree shapes carry information about the underlying evolutionary processes, and distributions of tree shapes under simple null models can be used to test hypotheses about evolution (Mooers & Heard, 1997;Blum, François, & Janson, 2006;Purvis et al, 2011;Wu & Choi, 2015). Recent work also relates fitness, selection and a variety of ecological processes to tree shape (LP, Colato, & Fontanari, 2004;Dayarian & Shraiman, 2014;J Hein, 2004;Wakeley & Wakeley, 2009;Gascuel, 2000;Manceau et al, 2015). An additional motivation for studying the shapes of phylogenetic trees is that reconstructing branch lengths is challenging, particularly deep in a tree.…”