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The estimation of robust and accurate measures of branch support has proven challenging in the era of phylogenomics. In data sets of potentially millions of sites, bootstrap support for bifurcating relationships around very short internal branches can be inappropriately inflated. Such overestimation of branch support may be particularly problematic in rapid radiations, where phylogenetic signal is low and incomplete lineage sorting severe. Here, we explore this issue by comparing various branch support estimates under both concatenated and coalescent frameworks, in the recent radiation Australo-Papuan murine rodents (Muridae: Hydromyini). Using nucleotide sequence data from 1245 independent loci and several phylogenomic inference methods, we unequivocally resolve the majority of genus-level relationships within Hydromyini. However, at four nodes we recover inconsistency in branch support estimates …