Scalable Species Tree Inference with External Constraints.

Species tree inference is a basic step in biological discovery, but discordance between gene trees creates analytical challenges and large data sets create computational challenges. Although there is generally some information available about the species trees that could be used to speed up the estimation, only one species tree estimation method that addresses gene tree discordance-ASTRAL-J, a recent development in the ASTRAL family of methods-is able to use this information. Here we describe two new methods, NJst-J and FASTRAL-J, that can estimate the species tree, given a partial knowledge of the species tree in the form of a nonbinary unrooted constraint tree. We show that both NJst-J and FASTRAL-J are much faster than ASTRAL-J and we prove that all three methods are statistically consistent under the multispecies coalescent model subject to this constraint. Our extensive simulation study shows that both FASTRAL-J and NJst-J provide advantages over ASTRAL-J: both are faster (and NJst-J is particularly fast), and FASTRAL-J is generally at least as accurate as ASTRAL-J. An analysis of the Avian Phylogenomics Project data set with 48 species and 14,446 genes presents additional evidence of the value of FASTRAL-J over ASTRAL-J (and both over ASTRAL), with dramatic reductions in running time (20 hours for default ASTRAL, and minutes or seconds for ASTRAL-J and FASTRAL-J, respectively).