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Table S1 Information on the species data sets analysed (reference, sample size and location), genetic parameters (number of nucleotides, polymorphic sites and haplotypes) main genetic partition results (genetic pool, genetic variation and genetic partitioning) and demographic parameters (values of mismatch observed mean, tau &tgr; , theta, q0 and q1) (A), Significant gene pools: 0, no panmixia, but structure not associated with Atlantic?Mediterranean differentiation; 1, one gene pool; 2, Atlantic and Mediterranean; 3, Atlantic, Western Mediterranean and Eastern Mediterranean. (B), Percentage of genetic variation (from AMOVA): if gene pool < 1, source of variation, among populations; if gene pool = 2, source of variation, among groups. (C), Partition of samples: 0, one gene pool; 1, Atlantic; 2, Mediterranean; 2′, Western Mediterranean; 2″, Eastern Mediterranean. (D), No samples from Eastern Atlantic, so only two gene pool arrangement could be tested. (E), Samples from Venice not included as there is the suspicion of another taxon being involved. (F), Samples from Black Sea not included

Table S2 Species and geographical partitions used in the historical demography analysis. Data sets (&num;) refer to the last column of Table 1, partitions refer to Table 1 of the supplementary material, graph type relates to Figure 3. In bold significant results at the 0.05 level, except Fu’s Fs test, which was tested at the 0.02 level

Table S3 Mitochondrial gene fragment, mutation rates (see text for references), number of nucleotides, generation time (from FISHBASE, http://www.fishbase.org), &tgr;(tau) value and expansion times expressed in units of mutation rate (&tgr;/2ut) and in t = 1000 years

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