Supplementary Material for: Elevated substitution rates estimated from ancient DNA sequences by Simon Y.W. Ho, Sergios-Orestis Kolokotronis, and Robin G. Allaby Summary and neutrality statistics Population genetics summary and neutrality statistics were computed in DnaSP 10.4.9 (Rozas et al. 2003). We calculated the number of segregating (polymorphic) sites (S), the number of unique haplotypes (h), haplotype diversity (Hd), and the average number of pairwise nucleotide differences (k). Nucleotide diversity (π), i.e., the average number of nucleotide differences per site between two sequences, was corrected for multiple substitutions according to Lynch & Crease (1990). The ratio of segregating sites over mean pairwise differences S/k – also termed “expansion coefficient” (Peck & Congdon 2004; von Haeseler et al. 1996) – was used as a simple form of evidence of a population size expansion. Populations with high S/k ratios are expected to have increased in size over time, while lower ratios should be indicative of a relatively constant long-term population size (Peck & Congdon 2004). Population size expansion usually leaves traces in the distribution of haplotypes. An excess of haplotypes is indicative of an expansion, as well as an excess of singleton mutations. Strobeck’s S statistic (Strobeck 1987) expresses the probability of observing a sample of sequences with a number of haplotypes equal to or lower than h. We also used an additional test statistic that draws information from the polymorphism frequency (R2). R2 contrasts the number of singletons and the mean number of differences; it approaches low positive values in the case of a recent population growth event (Ramos-Onsins & Rozas 2002). Statistical significance was assessed with 50,000 coalescent simulations (Hudson 1990) given the total alignment length for each data set and the total number of sequences, while conditioning on . The full results are given in Table S2. Model abbreviations Model abbreviations follow those used in Modeltest (Posada & Crandall 1998). Table S1. Sources of data sets analysed in this study Species Source Adélie penguin Arctic fox Aurochs Bison Boar Bowhead whale Brown bear Cave bear Cave hyaena Cave lion Cow Horse Moa Muskox Nene Tuco-tuco Woolly mammoth Maize Chlorobium Lambert et al. (2002) Dalen et al. (2007) Edwards et al. (2007) Shapiro et al. (2004) Watanobe et al. (2004; 2001) Borge et al. (2007) Barnes et al. (2002) Loreille et al. (2001), Hofreiter et al. (2002), Orlando et al. (2002) Rohland et al. (2005) Barnett et al., unpublished data Bollongino et al. (2006) Vila et al. (2001) Huynen et al. (2003) MacPhee et al. (2005) Paxinos et al. (2002) Chan et al. (2006) Barnes et al. (2007) Freitas et al. (2003), Golubinoff et al. (1993) Coolen and Overmann (2007) Table S2. Population genetic summary and neutrality statistics. P-values were obtained with 50,000 coalescent simulations. Significant test statistics at the 5% level are indicated in italics. N, number of individuals; S, number of segregating sites; h, number of haplotypes; Hd, haplotype diversity; JC, nucleotide diversity using the Jukes-Cantor correction for multiple hits (%); k, average number of nucleotide differences; S/k, ratio of S over k; SS, Strobeck’s S; R2, Ramos-Onsins & Rozas’s R2. Where three rows per species are shown, they contain ancient, modern, and the combined sequence data, respectively, while one row per species corresponds to ancient sequence data. Numbers in parentheses denote standard deviation values. All examined loci are mitochondrial D-loop except for the following: 1cytochrome b, 2tRNA+ATPase subunit 8, 316S rRNA. Organism Adélie penguin Arctic fox Aurochs Bison Boar Species Pygoscelis adeliae Alopes lagopus Bos primigenius Bison bison Sus scrofa N S h Hd 96 60 60 380 105 227 476 91 214 8 3 3 41 16 22 49 9 11 41 24 13 160 115 120 22 16 11 182 110 124 81 39 32 0.972 (0.008) 0.986 (0.002) 0.967 (0.004) 0.464 (0.200) 0.945 (0.021) 0.616 (0.078) 0.765 (0.063) 0.976 (0.008) 0.909 (0.037) 0.965 (0.010) 0.920 (0.015) JC k S/k 2.678 6.944 8.64 1.0 0.0554 3.150 8.138 12.90 1.0 0.0382 1.933 4.599 12.79 1.0 0.0248 0.834 0.929 3.23 0.8 0.2318 1.131 2.610 6.13 1.0 0.0749 0.993 1.107 8.13 1.0 0.0646 1.114 2.115 11.35 0.998 0.0823 SS R2 3.032 11.966 9.61 1.0 0.0493 0.718 3.662 4.37 0.973 0.1036 3.639 11.915 9.23 1.0 0.0518 1.105 6.23 1.0 0.0760 6.262 Bowhead whale Balaena mysticetus 7 15 7 88 47 39 99 50 58 68 58 68 167 72 113 Brown bear Ursus arctos 30 66 82 Cave bear Ursus spelaeus 26 21 16 Cave hyaena Crocuta soelaea 10 27 5 Cave lion Panthera leo spelaea 23 12 8 36 10 8 91 62 67 127 59 71 12 41 11 33 55 32 45 70 42 14 20 10 Cow Horse Moa Bos taurus Equus caballus Pachyornis mappini 1.000 (0.076) 0.932 (0.001) 0.935 (0.020) 1.000 (0.003) 0.974 (0.008) 0.994 (0.004) 0.963 (0.018) 0.800 (0.100) 0.581 (0.120) 0.438 (0.102) 0.977 (0.009) 0.902 (0.024) 0.985 (0.040) 0.998 (0.008) 0.997 (0.005) 0.923 (0.060) 1.279 7.238 2.07 1.0 0.2182 1.182 6.693 7.02 1.0 0.0676 1.348 6.029 8.29 1.0 0.0579 1.872 8.357 6.94 1.0 0.0685 1.569 7.010 10.27 1.0 0.0472 6.687 11.824 5.58 1.0 0.0861 3.219 6.000 3.5 0.996 0.1388 2.256 8.022 3.37 0.175 0.1883 0.808 1.636 7.33 0.977 0.0702 0.228 0.805 12.42 0.998 0.0563 1.131 4.595 13.49 1.0 0.0331 0.905 3.176 18.58 1.0 0.0244 3.618 12.152 3.37 0.986 0.1123 2.929 9.945 5.53 1.0 0.0795 3.526 11.839 5.91 1.0 0.0768 3.171 2.71 0.916 0.1659 7.374 Muskox 1 Nene2 Tuco-tuco1 Woolly mammoth Chlorobium3 Maize Ovibos moschatus Branta sandvicensis Ctenomys sociabilis Mammuthus primigenius Chlorobium limicola Zea mays 11 3 4 6 0 1 17 3 4 4 4 3 45 11 8 1 - - 46 11 8 32 42 24 4 6 2 12 34 11 16 35 12 16 14 10 15 12 6 31 19 14 0.691 (0.128) 0.0 0.500 (0.135) 0.833 (0.222) 0.705 (0.041) 0.699 (0.048) 0.962 (0.024) 0.500 (0.265) 0.985 (0.040) 0.917 (0.064) 0.867 (0.079) 0.762 (0.081) 0.813 (0.058) 1.488 1.055 - - 1.100 0.779 1.130 2.84 0.873 0.1742 - - 3.85 0.879 0.1353 2.167 1.85 0.851 0.3353 1.435 3.501 3.14 0.321 0.1544 - - - - 1.429 3.487 3.15 0.315 0.1539 0.966 7.077 5.93 1.0 0.0791 0.636 3.000 2.00 0.325 0.4330 3.044 14.106 2.41 0.977 0.1944 2.961 13.708 2.55 0.821 0.1811 2.018 3.308 4.23 0.991 0.0962 2.406 3.943 3.04 0.484 0.1438 1.882 3.049 6.23 0.998 0.0691 - - References Barnes, I., Matheus, P., Shapiro, B., Jensen, D. & Cooper, A. 2002 Dynamics of Pleistocene population extinctions in Beringian brown bears. 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