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S. fragilis (Jackson) EP 0-1150 15,718 Erratum The original version of this manuscript [1] unfortunately contained a mistake. Two species labels mentioned throughout the main body and supplementary files were swapped. The samples have since been re-verified by Sanger sequencing from stock DNA (not shown). Any occurrences of these species names have been corrected in the main text as shown below. In addition, a corrected version of Table 1 is provided below with the updated versions of the figures 1, 2, 3 and 4 and the supplementary files affected. Page 1. Abstract should read as follows Proposed text In contrast, we obtained a very well-supported phylogeny from 2301 nuclear genes without evidence of positive Darwinian selection both from the majority of most-likely gene trees and the concatenated fourfold degenerate sites: ((P. depressus, (M. nudus, M. franciscanus), (H. pulcherrimus, (S. purpuratus, (S. intermedius, (S. pallidus, (S. droebachiensis, S. fragilis)). This phylogeny was consistent with a single invasion of deep-water environments and holarctic expansion by Strongylocentrotus. Page 4. Results should read as follows The BI 50% majority-rule consensus phylogram of the stationary tree inferred from fourfold degenerate sites of nuclear genes without selection (‘N4Ds tree’) had complete (BI PP = 1, BSML = BSMP = 100) or very strong support from all three methods at all nodes with the N4N and N4A datasets except at the divergence of S. intermedius (BSMP = 74 and BSMP = 69, respectively). Page 4. Results should read as Indeed, the tree obtained from the N4S data produced a similar topography except S. purpuratus and S. intermedius branching locations were swapped, with S. intermedius the earlier branching of the two with low support for the node (not shown). Page 6. Results should read as