Appendix. Results for individual clades given 1000 Monte Carlo tests. “OTUs” = number of taxa analyzed, “Chars” = number of characters, “Poss. CPs” = possible compatible pairs, “Obs. CPs” = observed compatible pairs, “Strat. CPs” = stratigraphically compatible pairs. E[Bud] and E[Bif] give the expected proportion of stratigraphically compatible pairs given budding or bifurcating cladogenesis models when simulated matrices under independent change match the compatibility of the observed matrix. P[Bud] and P[Bif] give the probability of deviating from the expectations of independent change, with numbers approaching 1.0 reflecting positive deviations and numbers approach 0.0 reflecting negative deviations. Higher Poss. Obs. Strat. Taxon Taxon OTUs Chars. CPs CPs CPs Prop. E[Bud] P[Bud] E[Bif] P[Bif] Brachiopod Anopliidae [107] 28 31 465 166 160 0.964 0.869 0.992 0.925 0.892 Brachiopod Atrypidae [190] 25 27 351 493 438 0.888 0.891 0.474 0.941 0.027 Brachiopod Billingsellida [22] 20 24 276 242 214 0.884 0.893 0.426 0.922 0.182 Brachiopod Echinoconchidae [141] 14 24 276 195 174 0.892 0.855 0.761 0.892 0.504 Brachiopod Floweria [238] 14 28 378 229 180 0.786 0.879 0.082 0.913 0.034 Brachiopod Kutchithyris [174] 12 21 210 201 180 0.896 0.860 0.748 0.924 0.231 Brachiopod Leptestiidae [86] 10 20 190 235 193 0.821 0.814 0.547 0.850 0.336 Brachiopod Linguloidea [68] 23 45 990 951 866 0.911 0.917 0.410 0.948 0.019 Brachiopod Orbirhynchia [170] 16 22 231 179 162 0.905 0.903 0.519 0.915 0.421 Brachiopod Parastrophinidae [124] 26 34 561 574 518 0.902 0.897 0.554 0.921 0.303 Brachiopod Schizophoria [238] 22 36 630 230 214 0.930 0.909 0.748 0.919 0.638 Brachiopod Strophomenoidea [76] 14 13 78 49 33 0.673 0.857 0.044 0.839 0.075 Brachiopod Terebratuloidea [44] 78 42 861 315 309 0.981 0.957 0.934 0.964 0.869 Brachiopod Tritoechiidae [191] 13 24 276 481 394 0.819 0.845 0.328 0.848 0.296 Brachiopod Virgianidae [125] 12 24 276 538 449 0.835 0.859 0.312 0.922 0.010 Rostroconch Conocardioidea [265] 43 53 1378 1044 962 0.921 0.946 0.132 0.958 0.031 Rostroconch Eopteriidae [265] 20 44 946 779 699 0.897 0.874 0.747 0.907 0.393 Rostroconch Pseudobigaleaidae [265] 24 62 1891 1924 1731 0.900 0.921 0.174 0.926 0.142 Rostroconch Ribeiriidae [265] 27 34 561 698 615 0.881 0.889 0.418 0.901 0.295 Rostroconch Technophoridae [265] 14 40 780 1010 869 0.860 0.867 0.424 0.909 0.099 Bivalve Cardiidae [219] 33 24 276 386 356 0.922 0.949 0.161 0.959 0.091 Bivalve Chione [204] 19 22 231 144 112 0.778 0.910 0.014 0.906 0.033 Bivalve Chionopsis [204] 19 23 253 223 164 0.735 0.911 <0.001 0.924 <0.001 Bivalve Corbulidae [12] 12 70 2415 3425 2828 0.826 0.838 0.359 0.896 0.006 Bivalve Eucardiidae [218] 20 16 120 197 156 0.792 0.884 0.112 0.911 0.046 Higher Taxon Bivalve Bivalve Bivalve Cephalopod Cephalopod Cephalopod Cephalopod Cephalopod Cephalopod Cephalopod Cephalopod Tergomyan Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Gastropod Trilobite Trilobite Trilobite Trilobite Trilobite Taxon Hippuritoidea [227] Leptodesma [200] Ostreaoidea [115] Albian Heteromorpha [169] Ceratitida [160] Goniatitoidea [135] Hamitidae [171] Hammatoceratinae [172] Hildoceratidae [208] Scaphitacoidea [170] Semiformiceras [49] Cyrtonelloidea [268] Ancillinae [166] Bucaniidae [268] Columbellidae [73] Eotomarioidea [267] Harpidae [163] Hormotomidae [267] Macluritidae [267] Muricidae [162] Nassariidae [106] Oceanibrinae [161] Rapaninae [262] Subulitoidea [177] Trochonematoidea [264,266] Tropidodiscidae [268] Agnostoidea [64] Agnostoidea [277] Alokistocaridae [248] Basal Trilobita [146] Burlingiidae [84] Poss. OTUs Chars. CPs 36 32 496 22 27 351 34 30 435 26 26 325 32 55 1485 13 24 276 27 30 435 11 16 120 17 19 171 13 18 153 11 14 91 21 41 820 30 36 630 40 46 1035 24 30 435 40 69 2346 18 28 378 34 67 2211 18 50 1225 18 36 630 26 25 300 15 22 231 45 34 561 27 17 136 55 43 903 22 33 528 82 117 3160 43 28 378 19 50 1225 17 29 406 16 18 153 Obs. CPs 439 130 453 317 935 251 668 74 98 196 137 1094 405 1124 325 2621 429 2976 1629 768 210 448 193 145 481 671 1312 242 1454 250 77 Strat. CPs Prop. 427 0.973 128 0.985 439 0.969 316 0.997 891 0.953 244 0.972 651 0.975 60 0.811 85 0.867 189 0.964 110 0.803 920 0.841 376 0.928 1034 0.920 304 0.935 2363 0.902 357 0.832 2778 0.933 1434 0.880 566 0.737 185 0.881 370 0.826 183 0.948 132 0.910 469 0.975 596 0.888 1117 0.855 231 0.955 1160 0.798 241 0.964 71 0.922 E[Bud] P[Bud] E[Bif] P[Bif] 0.978 0.314 0.985 0.047 0.937 0.965 0.969 0.749 0.972 0.412 0.984 0.060 0.968 0.997 0.985 0.960 0.936 0.831 0.959 0.309 0.952 0.821 0.980 0.272 0.959 0.866 0.982 0.219 0.818 0.478 0.889 0.211 0.867 0.507 0.926 0.163 0.935 0.843 0.968 0.446 0.835 0.329 0.817 0.439 0.878 0.145 0.895 0.045 0.967 0.034 0.973 0.014 0.932 0.287 0.949 0.083 0.867 0.962 0.897 0.830 0.943 0.023 0.957 0.006 0.917 0.020 0.945 0.002 0.937 0.419 0.952 0.115 0.889 0.405 0.917 0.143 0.920 <0.001 0.922 <0.001 0.921 0.145 0.958 0.006 0.928 0.025 0.965 <0.001 0.951 0.461 0.947 0.517 0.890 0.665 0.926 0.360 0.969 0.664 0.978 0.402 0.908 0.263 0.930 0.078 0.863 0.423 0.875 0.315 0.952 0.530 0.963 0.362 0.841 0.176 0.879 0.043 0.857 0.997 0.910 0.884 0.900 0.679 0.904 0.638 Higher Taxon Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Taxon Emuellidae [184] Euptychaspidinae [6] Iwayaspidinae [116] Kochaspidae [249] Nevadoidea [145] Olenelloidea [144] Oryctocephalidae [251] Oryctocephalinae [250] Polymeroidea [19] Pterocephaliidae [114] Ptychoparioidea [62] Wuaniidae [25] Acanthoparyphinae [2] Ceratocara [51] Deiphoninae [61] Dimeropygidae [7] Illaenidae [10] Ovalocephalus [294] Pseudopetigurus [274] Reedocalymeninae [261] Shumardiidae [269] Stenoblepharum [85] Tetralichinae [45] Toernquistiidae [52] Acanthopgye [83] Edgecombeaspis [5] Encrinurinae [4] Odontopleuridae [195] Phacopidae [196] Trochurinae [42] Asteropyginae [148] Poss. Obs. Strat. OTUs Chars. CPs CPs CPs Prop. 27 45 990 661 592 0.896 12 25 300 320 273 0.853 14 23 253 154 137 0.890 66 70 2415 1432 1344 0.939 26 57 1596 623 546 0.876 26 79 3081 1029 921 0.895 22 36 630 619 493 0.796 24 20 190 219 189 0.863 19 26 325 461 438 0.950 36 45 990 671 625 0.931 48 72 2556 2351 2144 0.912 37 14 91 13 13 1.000 24 39 741 688 644 0.936 10 29 406 223 141 0.632 21 27 351 137 115 0.839 18 25 300 320 306 0.956 28 20 190 276 214 0.775 10 17 136 232 215 0.927 17 25 300 281 210 0.747 32 25 300 160 146 0.912 33 52 1326 602 584 0.970 10 18 153 193 169 0.876 11 17 136 112 104 0.929 38 55 1485 801 756 0.944 25 15 105 49 40 0.816 9 16 120 95 88 0.926 32 40 780 670 596 0.890 62 35 595 420 352 0.838 47 32 496 368 290 0.788 19 21 210 168 163 0.970 38 66 2145 925 855 0.924 E[Bud] P[Bud] E[Bif] P[Bif] 0.891 0.566 0.915 0.289 0.881 0.269 0.927 0.085 0.868 0.672 0.880 0.564 0.924 0.789 0.943 0.419 0.815 0.933 0.851 0.743 0.884 0.623 0.888 0.571 0.856 0.102 0.886 0.025 0.890 0.274 0.914 0.156 0.939 0.708 0.963 0.225 0.931 0.505 0.949 0.211 0.904 0.652 0.922 0.317 1.000 >0.999 1.000 >0.999 0.935 0.510 0.948 0.319 0.830 0.018 0.864 0.028 0.907 0.103 0.919 0.056 0.905 0.958 0.906 0.928 0.909 0.007 0.935 0.002 0.898 0.706 0.897 0.749 0.866 0.022 0.887 0.006 0.939 0.234 0.962 0.047 0.876 0.999 0.923 0.950 0.854 0.657 0.909 0.296 0.866 0.852 0.869 0.819 0.934 0.672 0.950 0.381 0.862 0.308 0.900 0.181 0.880 0.800 0.880 0.817 0.950 0.007 0.963 0.001 0.947 <0.001 0.961 <0.001 0.913 0.002 0.930 <0.001 0.903 0.978 0.912 0.958 0.914 0.636 0.936 0.351 Higher Taxon Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Trilobite Chelicerate Chelicerate Chelicerate Chelicerate Chelicerate Crustacean Crustacean Crustacean Crustacean Crustacean Crustacean Stylophoran Stylophoran Stylophoran Stylophoran Stylophoran Stylophoran Stylophoran Stylophoran Stylophoran Stylophoran Taxon Basidechenella [143] Calmoniidae [147] Calmoniidae [142] Dechenella [143] Koneprusiinae [3] Proetidae [143] Trimerocephalus [66] Kaskia [35] Phillipsidae [33,34] Lichoidea [188] Adelophthalmoidea [257] Cambrian Arachnomorpha [63] Eurypetriidae [256] Eurypterus [255] Stylonurina [137] Astacidae [201] Astacidae [11] Beyrichiocopa [260] Phyllocarida [202] Thylacocephala [223] Xanthoidea [132] Anomalocystitidae [210] Chauvelicystinae [139] Cincta [235] Cornuta [65] Cornuta [69] Cornuta [140] Dendrocystitidae [183] Mitrata [211] Mitrata [209] Stylophora [182] Poss. OTUs Chars. CPs 16 25 300 14 51 1275 17 38 703 17 47 1081 39 23 253 21 52 1326 14 23 253 19 30 435 21 25 300 36 48 1128 12 24 276 26 38 703 23 33 528 13 20 190 23 45 990 47 31 465 31 21 210 34 39 741 41 54 1431 18 15 105 21 62 1891 20 97 4656 12 15 105 21 58 1653 32 72 2556 22 34 561 28 18 153 15 16 120 13 38 703 13 38 703 42 42 861 Obs. CPs 253 955 575 760 140 755 328 207 137 925 174 852 779 207 691 393 386 492 1421 132 1371 2487 102 1865 1867 414 262 121 631 712 2020 Strat. CPs Prop. 186 0.735 817 0.855 525 0.913 598 0.787 116 0.829 696 0.922 294 0.896 146 0.705 108 0.788 804 0.869 155 0.891 786 0.923 660 0.847 144 0.696 631 0.913 366 0.931 352 0.912 464 0.943 1288 0.906 125 0.947 1255 0.915 2267 0.912 73 0.716 1702 0.913 1662 0.890 383 0.925 226 0.863 107 0.884 496 0.786 577 0.810 1966 0.973 E[Bud] 0.901 0.807 0.831 0.857 0.858 0.915 0.945 0.889 0.898 0.887 0.871 0.934 0.865 0.892 0.907 0.965 0.943 0.949 0.949 0.871 0.955 0.911 0.866 0.930 0.954 0.952 0.944 0.899 0.882 0.914 0.938 P[Bud] E[Bif] P[Bif] 0.003 0.917 0.003 0.852 0.849 0.545 0.970 0.859 0.932 0.108 0.893 0.016 0.305 0.881 0.167 0.600 0.945 0.127 0.097 0.958 0.052 0.012 0.917 0.002 0.073 0.946 0.001 0.292 0.922 0.020 0.610 0.873 0.626 0.300 0.944 0.180 0.307 0.888 0.118 0.007 0.876 0.014 0.619 0.945 0.058 0.055 0.973 0.017 0.159 0.945 0.178 0.362 0.965 0.096 0.022 0.965 0.004 0.910 0.897 0.853 0.031 0.967 0.023 0.500 0.916 0.430 0.038 0.868 0.041 0.224 0.937 0.140 0.006 0.961 <0.001 0.127 0.959 0.042 0.042 0.938 0.068 0.410 0.899 0.385 0.076 0.880 0.051 0.019 0.915 0.009 0.994 0.950 0.948 Higher Taxon Taxon Edrioasteroid Agelacrinitinae [232] Edrioasteroid Edrioasteroidea [245] Edrioasteroid Isorophida [247] Asterozoan Asterozoa [74] Asterozoan Goniasteridae [28] Blastozoan Blastoidea [30] Blastozoan Glyptocystitidae [244] Blastozoan Pleurocystitidae [246] Crinoid Basal Crinoidea [17] Crinoid Botryocrinidae [95] Crinoid Calceocrinidae [109] Crinoid Camerata [17] Crinoid Cladida [17] Crinoid Cupulocrinidae [37] Crinoid Cyathocrinites [130] Crinoid Disparida [17] Crinoid Mespilocrinus [129] Crinoid Pereichocrinidae [18] Echinoid Arbacoidea [234] Echinoid Arbacoidea [228] Echinoid Cassiduloidea [252] Echinoid Cassiduloidea [229] Echinoid Cassiduloidea [217] Echinoid Disasteroidea [20] Echinoid Holasteroidea [230] Echinoid Hypsaleniinae [234] Echinoid Irregularia [216] Echinoid Loveniidae [136] Echinoid Mesozoic Echinoidea [231] Echinoid Ordovician Echinoidea [233] Echinoid Somaliasteridae [120] OTUs 10 15 11 36 21 68 11 12 33 13 22 28 27 13 14 45 10 20 21 21 69 43 49 26 43 10 27 32 46 11 19 Poss. Chars. CPs 10 45 24 276 20 190 148 10878 68 2278 93 4278 19 171 23 253 25 300 14 91 17 136 27 351 21 210 19 171 14 91 31 465 11 55 32 496 40 780 26 325 38 703 42 861 31 465 19 171 34 561 11 55 37 666 42 861 54 1431 27 351 24 276 Obs. CPs 37 199 135 8103 1255 2983 121 172 175 104 104 525 341 288 79 684 46 288 817 312 636 734 439 199 507 46 483 895 1546 289 225 Strat. CPs Prop. 30 0.811 192 0.965 42 0.311 7458 0.920 1151 0.917 2863 0.960 109 0.901 147 0.855 143 0.817 88 0.846 99 0.952 439 0.836 308 0.903 237 0.823 74 0.937 648 0.947 40 0.870 258 0.896 749 0.917 305 0.978 620 0.975 695 0.947 382 0.870 189 0.950 478 0.943 44 0.957 401 0.830 741 0.828 1471 0.951 206 0.713 190 0.844 E[Bud] P[Bud] E[Bif] P[Bif] 0.824 0.470 0.895 0.201 0.852 0.983 0.864 0.987 0.882 <0.001 0.946 <0.001 0.936 0.141 0.945 0.026 0.878 0.912 0.885 0.872 0.938 0.977 0.949 0.845 0.879 0.688 0.869 0.714 0.817 0.693 0.852 0.512 0.873 0.176 0.876 0.156 0.882 0.261 0.885 0.262 0.887 0.909 0.891 0.894 0.896 0.082 0.887 0.135 0.929 0.205 0.923 0.289 0.926 0.020 0.950 0.015 0.933 0.530 0.961 0.300 0.942 0.597 0.950 0.457 0.930 0.183 0.915 0.240 0.857 0.828 0.848 0.851 0.940 0.160 0.940 0.209 0.947 0.975 0.951 0.974 0.981 0.284 0.988 0.093 0.969 0.052 0.977 0.003 0.972 <0.001 0.978 <0.001 0.919 0.832 0.942 0.583 0.962 0.160 0.974 0.017 0.917 0.762 0.893 0.869 0.940 0.002 0.932 0.004 0.917 0.023 0.926 0.006 0.952 0.492 0.963 0.162 0.847 0.010 0.866 0.007 0.935 0.012 0.955 <0.001 Higher Taxon Echinoid Echinoid Echinoid Echinoid Conodont Conodont Conodont Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Fish Taxon OTUs Spatangoidea [239] 50 Spatangoidea [67] 37 Temnopleuridae [121] 16 Toxasteridae [263] 35 Hindeodus–Isarcicella [122] 21 Kockelella [279] 17 Palmatolepis [79] 15 Actinolepidae [127] 18 Amblypteridae [77] 50 Amiidae [102] 39 Arthrodira [81] 31 Basal Sarcopterygia [60] 32 Basal Sarcopterygia [295] 25 Bothriolepidae [154] 12 Clupeomorpha [50] 9 Coelocanthiformes [59] 30 Coelocanthiformes [91] 31 Coelocanthiformes [58] 24 Devonian Palaeonisciformes [253] 15 Dipnoi [48] 16 Dipnoi [92] 26 Eubrachythoraci [46] 19 Osteoglossomorphes [283] 18 Perleidiformes [152] 14 Phyllolepidae [82] 38 Pteraspidiformes [186] 26 Rhizodontidae [126] 30 Scanalepiformes [287] 13 Selenosteidae [207] 10 Tetradontiformes [215] 36 Thyestidae [214] 18 Poss. Chars. CPs 68 2278 42 861 36 630 35 595 20 190 36 630 25 300 37 666 57 1596 69 2346 55 1485 140 9730 147 10731 18 153 27 351 72 2556 56 1540 101 5050 45 990 14 91 70 2415 48 1128 57 1596 27 351 63 1953 59 1711 99 4851 50 1225 14 91 58 1653 35 595 Obs. CPs 1950 650 472 519 118 358 251 476 805 2297 907 7710 7826 105 274 1742 1064 3490 933 123 1431 933 1735 285 1046 1100 3682 1016 64 1798 342 Strat. CPs Prop. 1910 0.979 635 0.977 400 0.847 474 0.913 113 0.958 311 0.869 233 0.928 446 0.937 771 0.958 2159 0.940 810 0.893 6829 0.886 6580 0.841 100 0.952 263 0.960 1535 0.881 999 0.939 3201 0.917 841 0.901 100 0.813 1164 0.813 799 0.856 1392 0.802 240 0.842 940 0.899 902 0.820 3196 0.868 1014 0.998 62 0.969 1688 0.939 274 0.801 E[Bud] P[Bud] E[Bif] P[Bif] 0.966 0.970 0.960 0.987 0.943 0.989 0.941 0.981 0.882 0.253 0.915 0.074 0.943 0.118 0.957 0.021 0.944 0.628 0.966 0.367 0.833 0.790 0.847 0.722 0.944 0.281 0.940 0.312 0.915 0.776 0.928 0.665 0.944 0.753 0.960 0.452 0.967 0.016 0.967 0.002 0.917 0.196 0.934 0.057 0.909 0.149 0.930 0.026 0.881 0.115 0.934 <0.001 0.935 0.682 0.940 0.671 0.900 0.948 0.884 0.977 0.895 0.293 0.900 0.227 0.915 0.914 0.929 0.716 0.889 0.895 0.913 0.561 0.914 0.331 0.936 0.142 0.846 0.307 0.854 0.247 0.872 0.093 0.897 0.018 0.837 0.708 0.865 0.427 0.836 0.219 0.903 <0.001 0.892 0.162 0.899 0.132 0.934 0.093 0.949 0.015 0.883 0.079 0.907 0.021 0.906 0.072 0.927 0.010 0.934 >0.999 0.929 >0.999 0.897 0.915 0.889 0.915 0.934 0.605 0.945 0.355 0.822 0.379 0.857 0.189 Higher Taxon Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Amphibian Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Taxon Basal Temnospondyli [56] Brachyopoidea [71,271] Branchiosauridae [222] Capitosauria [221] Capitosauridae [236] Dvinosauridae [87] Early Tetrapoda [8] Edopoidea [226,237] Mastodonsauroidea [70] Rhytidosteoidea [168] Stegoceophalia [138] Stereospondylia [220] Anomodontia [93] Cynodontia [32] Dicynodontia [14] Eutheriodontia [1] Gomphodontia [242] Traversodontidae [131] Traversodontidae [197] Varanopidae [156] Amphilestidae [205] Anthracotheriidae [149] Arctoidea [270] Basal Ctenodactyloidea [72] Basal Ruminantia [99] Basal Ruminantia [105] Borhyaenoidea [173] Brontotheriidae [167] Carnivoramorpha [276] Carpolestidae [29] Ceratomorpha [111] Poss. OTUs Chars. CPs 10 53 1378 21 50 1225 19 40 780 22 42 861 12 39 741 10 57 1596 21 115 6555 15 42 861 21 38 703 11 18 153 16 59 1711 15 83 3403 30 69 2346 16 56 1540 29 60 1770 23 79 3081 16 33 528 16 39 741 16 28 378 10 16 120 20 56 1540 9 18 153 20 32 496 14 21 210 12 20 190 10 31 465 10 35 595 47 73 2628 24 78 3003 13 25 300 22 24 276 Obs. CPs 1305 883 596 712 455 1069 5402 406 367 82 931 2384 2521 1391 1822 2844 313 585 235 104 1606 108 412 197 112 458 535 3248 2423 453 310 Strat. CPs Prop. 1047 0.802 797 0.903 484 0.812 648 0.910 331 0.727 858 0.803 4646 0.860 304 0.749 292 0.796 52 0.634 818 0.879 1965 0.824 2241 0.889 1155 0.830 1620 0.889 2648 0.931 260 0.831 511 0.874 201 0.855 50 0.481 1381 0.860 95 0.880 375 0.910 185 0.939 93 0.830 292 0.638 493 0.921 3113 0.958 2210 0.912 392 0.865 273 0.881 E[Bud] P[Bud] E[Bif] P[Bif] 0.897 0.018 0.887 0.050 0.873 0.855 0.880 0.783 0.910 0.022 0.937 0.003 0.944 0.096 0.950 0.050 0.838 0.049 0.816 0.102 0.793 0.566 0.825 0.358 0.880 0.266 0.882 0.198 0.815 0.167 0.811 0.145 0.877 0.087 0.903 0.034 0.929 <0.001 0.943 0.001 0.844 0.794 0.858 0.711 0.869 0.169 0.872 0.142 0.934 0.027 0.939 0.009 0.865 0.210 0.886 0.061 0.907 0.255 0.928 0.060 0.921 0.705 0.930 0.521 0.827 0.542 0.865 0.285 0.872 0.511 0.910 0.189 0.855 0.500 0.889 0.245 0.839 0.004 0.842 0.005 0.913 0.031 0.939 0.006 0.883 0.476 0.955 0.042 0.902 0.624 0.916 0.438 0.872 0.962 0.906 0.788 0.887 0.172 0.888 0.206 0.838 0.003 0.916 <0.001 0.891 0.761 0.963 0.076 0.941 0.943 0.955 0.603 0.899 0.727 0.936 0.046 0.873 0.431 0.899 0.249 0.896 0.360 0.931 0.080 Higher Taxon Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Synapsid Taxon Chalicotheriidae [113] Cormohipparion [284] Cretaceous Eutheria [16] Dichobunidae [165] Elephantiformes [225] Eocene Equidae [94] Eotheria [206] Equidae [9] Equini [192] Hathliacynidae [90] Hippopotamidae [31] Hippotragini [100] Hominidae [240] Hominoidea [89] Hyaenidae [275] Hyaenodontidae [189] Hypsodontidae [112] Megalochinidae [194] Megalonychidae [43] Mioclaenidae [281] Multituberculata [134] Mustellidae [88] Mysticetiidae [27] Nimravinae [185] Notohippidae [224] Paucituberculata [101] Perissodactyla [112] Protoselendonta [103] Selenodonta [164] Splacotheriidae [254] Taeniodonta [203] OTUs 17 12 23 23 31 18 21 17 14 10 16 15 14 14 18 14 11 14 14 31 32 9 32 11 17 21 10 23 22 11 10 Poss. Obs. Chars. CPs CPs 43 903 880 36 630 1537 69 2346 2524 26 325 206 54 1431 1219 58 1653 1438 55 1485 1480 52 1326 1266 18 153 169 47 1081 865 31 465 443 22 231 234 87 3741 4963 125 7750 6110 19 171 122 53 1378 1221 22 231 262 41 820 931 17 136 117 50 1225 921 60 1770 1538 48 1128 777 149 11026 11652 33 528 544 28 378 330 42 861 789 29 406 524 26 325 206 57 1596 1209 21 210 141 33 528 863 Strat. CPs Prop. 814 0.925 1356 0.882 2170 0.860 186 0.903 1101 0.903 1325 0.921 1341 0.906 1151 0.909 163 0.964 657 0.760 366 0.826 181 0.774 4309 0.868 4783 0.783 77 0.631 1117 0.915 239 0.912 770 0.827 106 0.906 831 0.902 1424 0.926 743 0.956 9722 0.834 428 0.787 309 0.936 713 0.904 467 0.891 186 0.903 1107 0.916 132 0.936 723 0.838 E[Bud] P[Bud] E[Bif] P[Bif] 0.845 0.992 0.909 0.728 0.894 0.381 0.873 0.592 0.852 0.560 0.885 0.231 0.906 0.461 0.913 0.379 0.939 0.041 0.961 <0.001 0.902 0.780 0.928 0.411 0.910 0.435 0.951 <0.001 0.884 0.799 0.891 0.761 0.907 0.917 0.953 0.650 0.840 0.096 0.926 <0.001 0.875 0.179 0.892 0.102 0.904 0.008 0.950 <0.001 0.844 0.715 0.839 0.753 0.803 0.337 0.822 0.167 0.894 <0.001 0.938 <0.001 0.868 0.930 0.870 0.890 0.902 0.593 0.890 0.697 0.833 0.445 0.871 0.188 0.857 0.761 0.852 0.810 0.925 0.209 0.942 0.071 0.827 >0.999 0.851 0.977 0.890 0.952 0.890 0.902 0.913 0.008 0.933 <0.001 0.813 0.327 0.814 0.311 0.927 0.624 0.927 0.624 0.874 0.790 0.895 0.598 0.843 0.894 0.902 0.385 0.907 0.445 0.918 0.338 0.845 0.994 0.880 0.880 0.833 0.937 0.831 0.926 0.805 0.751 0.811 0.703 Synapsid Synapsid Synapsid Anapsid Anapsid Anapsid Anapsid Anapsid Anapsid Lepidosaur Lepidosaur Lepidosaur Lepidosaur Lepidosaur Lepidosaur Lepidosaur Lepidosaur Lepidosaur Lepidosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Toxodontidae [176] Xenungulata [98] Zapodidae [151] Baenidae [155] Leptopleuroninae [243] Millerettidae [55] Nanhsiungchelyidae [128] Procolophonidae [75] Procolophonoidea [54] Cryptocleidoidea [180] Ichthyosauria [259] Mosasauridae [21,53,80] Nothosaurus [123] Placodontia [199] Plesiosauridae [104] Plesiosauroidea [178] Polycotylidae [179] Sphenodontia [198] Sphenodontia [15] Archosauromorpha [78] Basal Crocodilia [57] Basal Crocodyliformes [212] Basal Crurotarsia [38] Chroniosuchia [41] Crocodylia [36] Diplocynodontinae [187] Dyrosauridae [110] Mesoeucrocodylia [96] Metriorhynchidae [291] Metriorhynchinae [280] Phytosauridae [117] Prolacertiformes [119] Protosauridae [24] 20 22 25 14 10 10 10 10 21 11 32 33 11 10 11 32 10 16 14 20 11 33 20 12 48 35 10 14 34 18 10 16 17 56 20 28 51 39 35 28 49 50 61 105 89 18 67 33 132 40 43 57 133 17 128 125 19 138 114 20 110 63 42 47 39 45 1540 190 378 1275 741 595 378 1176 1225 1830 5460 3916 153 2211 528 8646 780 903 1596 8778 136 8128 7750 171 9453 6441 190 5995 1953 861 1081 741 990 1442 155 252 942 543 490 160 902 931 1466 6352 2558 170 1753 397 6549 485 793 1520 7134 103 7051 5355 140 7512 5385 182 4822 2442 1175 1201 517 538 1275 128 223 802 455 422 154 671 865 1174 5670 2183 138 1436 300 5881 433 672 1208 6644 95 5966 4607 121 6662 4718 153 4202 2335 1138 1045 434 445 0.884 0.826 0.885 0.851 0.838 0.861 0.963 0.744 0.929 0.801 0.893 0.853 0.812 0.819 0.756 0.898 0.893 0.847 0.795 0.931 0.922 0.846 0.860 0.864 0.887 0.876 0.841 0.871 0.956 0.969 0.870 0.839 0.827 0.856 0.813 0.880 0.553 0.864 0.264 0.899 0.106 0.893 0.416 0.909 0.250 0.825 0.726 0.862 0.407 0.850 0.412 0.860 0.315 0.831 0.714 0.818 0.765 0.928 0.793 0.933 0.751 0.864 0.019 0.866 0.004 0.886 0.936 0.899 0.868 0.826 0.297 0.878 0.054 0.902 0.323 0.920 0.092 0.910 0.013 0.924 0.004 0.896 0.086 0.886 0.118 0.806 0.617 0.891 0.019 0.868 0.035 0.876 0.016 0.888 0.670 0.908 0.308 0.806 0.904 0.866 0.676 0.899 0.105 0.895 0.108 0.863 0.083 0.853 0.091 0.903 0.921 0.910 0.856 0.853 0.899 0.931 0.422 0.920 0.001 0.924 0.001 0.880 0.296 0.888 0.240 0.865 0.495 0.883 0.392 0.918 0.067 0.931 0.004 0.939 0.004 0.944 <0.001 0.876 0.272 0.870 0.302 0.865 0.592 0.863 0.594 0.926 0.982 0.937 0.890 0.887 >0.999 0.898 0.999 0.895 0.276 0.906 0.231 0.845 0.456 0.862 0.266 0.796 0.737 0.806 0.656 Higher Taxon Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Archosaur Taxon OTUs Protosuchidae [96] 14 Thalattosauriformes [150] 12 Thalattosauriformes [175] 10 Basal Pterosauria [13] 18 Pterosauria [133] 39 Pterosauria [153] 56 Allosauroidea [39] 12 Ankylosauria [258] 45 Ankylosauroidea [181] 16 Carcharodontosauria [23] 14 Ceratopsidae [285] 13 Ceratosauria [47] 18 Chasmosaurinae [213] 18 Deinonychosauria [118,159,288] 17 Diplodocoidea [278] 20 Dromaeosauridae [293] 17 Euornithopoda [272] 10 Hadrosaurinae [97] 10 Hadrosauroidea [241] 29 Megalosauroidea [23] 19 Neoceratopsia [158,292] 18 Ornithopoda [273] 14 Oviraptosauria [288,289], 13 Prosauropoda [26] 12 Prosauropoda [290] 15 Saurolophidae [193] 28 Sauropoda [282] 33 Sauropoda [108] 28 Stegosauridae [157] 12 Tyranosauroidea [38] 19 Poss. Obs. Chars. CPs CPs 134 8911 6801 20 190 139 12 66 48 71 2485 2096 74 2701 4782 117 6786 6599 36 630 398 140 9730 4557 54 1431 899 43 903 423 17 136 118 95 4465 2015 61 1830 1650 75 2775 1605 106 5565 4052 108 5778 3079 37 666 376 74 2701 2251 126 7875 6728 100 4950 3019 110 5995 5145 72 2556 1755 39 741 354 40 780 406 110 5995 3199 210 21945 20370 215 23005 14261 270 36315 31058 67 2211 1213 284 40186 28482 Strat. CPs Prop. 5979 0.879 87 0.626 27 0.562 1878 0.896 4172 0.872 6076 0.921 367 0.922 3872 0.850 741 0.824 384 0.908 109 0.924 1441 0.715 1491 0.904 1391 0.867 3632 0.896 2385 0.775 121 0.322 2031 0.902 5866 0.872 2757 0.913 4413 0.858 1203 0.685 249 0.703 379 0.933 2786 0.871 18063 0.887 13350 0.936 28844 0.929 943 0.777 25404 0.892 E[Bud] P[Bud] E[Bif] P[Bif] 0.859 0.744 0.856 0.777 0.860 0.004 0.856 0.008 0.891 0.001 0.891 0.003 0.897 0.483 0.893 0.529 0.918 0.045 0.929 0.011 0.945 0.050 0.956 0.006 0.849 0.956 0.848 0.929 0.857 0.385 0.879 0.140 0.772 0.893 0.821 0.523 0.809 0.962 0.818 0.953 0.930 0.466 0.940 0.396 0.842 0.036 0.834 0.019 0.880 0.802 0.910 0.406 0.827 0.882 0.849 0.687 0.873 0.771 0.931 0.043 0.849 0.055 0.895 0.002 0.772 <0.001 0.797 <0.001 0.842 0.929 0.890 0.616 0.937 0.005 0.950 0.001 0.862 0.953 0.862 0.943 0.862 0.449 0.900 0.120 0.848 0.004 0.920 <0.001 0.860 0.007 0.935 <0.001 0.845 0.989 0.883 0.883 0.858 0.628 0.937 0.001 0.918 0.066 0.931 0.021 0.912 0.938 0.910 0.939 0.891 0.981 0.894 0.974 0.774 0.532 0.830 0.194 0.883 0.608 0.888 0.545 References and Notes 1. 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