1 2 3 4 5 SUPPLEMENTARY INFORMATION FOR EZCURRA “Biogeography of Triassic tetrapods: evidence for provincialism and driven sympatric cladogenesis in the early evolution of modern tetrapod lineages”. 6 S1. ABBREVIATIONS FOR FIGURE 1. 7 Node abbreviations: Ae, Aetosaurinae; Aet, Aetosauria; An, Anapsida; Ar, 8 Archosauria; Arc, Archosauriformes; Arcs, Archosauromorpha; Av, Avemetatarsalia; 9 Br, Brachyopidae; Ca, Capitosauroidea; Ch, Chigutisauridae; Cr, Crocodylomorpha; 10 Cru, Crurotarsi; Cy, Cynognathia; De, Desmatosuchinae; Di, Dinosauria; Dia, Diapsida; 11 Dic, Dicynodontia; Din, Dinosauromorpha; Dr, Drepanosauridae; Er, Erythrosuchidae; 12 Eu, Eusaurischia; Euc, Eucynodontia; Gu, Guaibasauridae; He, Herrerasauria; Ic, 13 Ictidosauria; Ka, Kannemeyerioidea; La, Lagerpetidae; Le, Leptopleuroninae; Ma, 14 Massopoda; Ne, Neotheropoda; Or, Ornithischia; Orn, Ornithosuchidae; Ph, 15 Phytosauria; Pl, Plateosauridae; Po, Poposauridae; Pr, Proterochampsidae; Pro, 16 Probainognathia; Proc, Procolophonidae; Pt, Pterosauria; Ra, Rauisuchia; Rh, 17 Rhynchosauria; Rio, Riojasauridae; Ry, Rhytidostea; Sa, Saurischia; Sh, 18 Shansiodontidae; Si, Silesauridae; Sim, Simiosauria, Sp, Sphenodontia, St, 19 Stereospondyli; Sy, Synapsida; Ta, Tanystropheidae; Te, Testudinata; Tem, 20 Temnospondyli; Tr, Tritheledontidae; Tra, Traversodontidae; Tre, Trematosauroidea; 21 Tri, Trirachodontidae; Ty, Typothoracisinae. 22 23 24 Area abbreviations: AF, meridional Africa; AS, Asia; EU, Europe; IN, India; IS, Ischigualasto; NA, North America; SM, Santa Maria. Temporal abbreviations: Col, Coloradian; Isc, Ischigualastian. 25 26 S2. PHYLOGENETIC RELATIONSHIPS OF MIDDLE AND LATE TRIASSIC 27 TETRAPODS 1 The present cladistic palaebiogeographic analysis was performed with the 2 information provided by Middle and Late Triassic tetrapods. The employment of 3 several independent phylogenies of tetrapod lineages would reduce sampling failures 4 and weak phylogenetic signals for certain clades, which are potential causes of artificial 5 results in a TRA (Turner et al. 2009). The phylogenetic evidence provided by Middle 6 and Late Triassic tetrapods was introduced to this analysis through a composite tree 7 (‘informal supertree’) constructed by hand of the group (figure 1). The topologies 8 recovered by several independent cladistic analyses have been employed in order to 9 perform this composite tree (see below). The terminals dating from non-Middle/Late 10 Triassic beds were not considered. The phylogenetic relationships among the main 11 lineages of Tetrapoda were reconstructed according to the analysis of Gauthier et al. 12 (1988). Programs employed to perform TRA analyses (COMPONENT 2.0 and 13 TreeMap 1.0; Page 1993, 1995) cannot deal with polytimized phylogenetic tress. Thus, 14 the following data sources and pruning criteria for polytomized trees were applied for 15 each tetrapod clade: 16 (1) Temnospondyli: the supertree generated by Ruta et al. (2007) was used to 17 consider the phylogenetic interrelationships among temnospondyls. The cladogram 18 performed in this study presents a fully resolved topology, thus it was not necessary to 19 prune any Middle or Late Triassic temnospondyl from the geographic areas considered 20 here. 21 (2) Procolophonidae: the phylogenetic analysis of Procolophonidae performed by 22 Cisneros (2008) was used for this tetrapod clade. The strict consensus tree recovered by 23 Cisneros (2008) exhibit fully resolved relationships for Middle and Late Triassic 24 procolophonids, thus no taxon was pruned. 1 (3) Testudinata: the phylogenetic relationships of basal testudinates recovered by 2 the analysis of Joyce et al. (2009) were followed in this contribution. The topology 3 recovered by these authors presents two trichotomies, one composed of Chinlechelys, 4 Proganochelys, and more crown-ward forms, and the other constituted by 5 Palaeochersis, Australochelys, and more derived taxa. The latter polytomy is not 6 problematic, because Australochelys is Early Jurassic in age and goes beyond the time 7 span considered in this study. However, the more basal trichotomy is composed of Late 8 Triassic taxa and a pruning criterion was adopted. For the sake of increase the available 9 geographic area information, Proganochelys was excluded from the composite tree of 10 Tetrapoda, because this taxon and Proterochersis come from European beds and 11 Chinlechelys will provide information of the North American fauna. 12 (4) Dicynodontia: the phylogenetic relationships of Middle Triassic dicynodonts 13 were reconstructed after the analysis of Damiani et al. (2007). The most parsimonious 14 tress recovered by these authors exhibit fully resolved relationships among Middle 15 Triassic dicynodonts (i.e., Kannemeyeriiformes). For the Late Triassic time slice, 16 although they were not included in the analysis of Damiani et al. (2007), the South 17 American dicynodont genera Ischigualastia and Jachaleria (composed of two species) 18 were included for the sake of increasing geographic data (Cox 1962; Bonaparte 1970; 19 Araújo & Gonzaga 1980). 20 (5) Cynognathia: the phylogenetic relationships of cynongnathian cynodonts found 21 by Abdala et al. (2006) were followed in this contribution. The majority rule consensus 22 of this study depicted two politomies, a trichotomy at the base of Traversodontidae 23 composed of Luangwa, Scalenodon angustifrons, and more derived forms, and the other 24 is a fourth order polytomy constituted by “Scalenodon” hirschsoni, Pascualgnathus, 25 Traversodon, and more derived taxa. The trichotomy was avoided pruning Scalenodon 1 angustifrons, because this species comes from central Africa (Tanzania) (Parrington 2 1946) and Luangwa provides more geographic data, coming from South America and 3 meridional Africa (Brink 1963, Abdala & Sa-Texeira 2004; Abdala & Smith 2009). In 4 the other polytomy, “Scalenodon” hirschsoni and Traversodon were excluded from the 5 analysis, and Pascualgnathus was included in order to increase the data coming from 6 the “Ischigualasto” geographic area. 7 (6) Probainognathia: the analysis of Martinelli & Rougier (2007) was followed 8 regarding the phylogenetic relationships of probainognathian eucynodonts. The 9 topology recovered by these authors is fully resolved. 10 (7) Sphenodontia: the phylogenetic analysis of Evans (2003) was followed for 11 sphenodontian interrelationships. This phylogeny presents a trichotomy composed of 12 the European clade (Brachyrhinodon + Polysphenodon), Clevosaurus, and more crown- 13 ward taxa. However, no pruning was implemented, because the taxa more derived than 14 Clevosaurus in this study are recorded in post-Triassic rocks. 15 (8) Simiosauria: the phylogenetic relationships among simiosaurians were followed 16 according to the analysis of Senter (2004). No polytomy was found by this author. 17 (9) Tanystropheidae: the phylogenetic relationships of tanystropheids and their 18 position as basal archosauromorphs were followed from Senter (2004). No polytomy 19 was found by this author. 20 (10) Rhynchosauria: the phylogenetic analysis of Langer & Schultz (2000) was 21 adopted for rhynchosaur interrelationships. This analysis recovered a polytomy 22 composed of Hyperodapedon mariensis, Hyperidapedon gordoni + Hyperodapedon 23 huxleyi, and Hyperodapedon sanjuanensis. In order to avoid this polytomy, 24 Hyperodapedon mariensis was pruned from the analysis, because it presents the same 25 geographic information as the sister-taxon of this entire group, Hyperodapedon huenei. 1 (11) Non-archosaurian Archosauriformes: the phylogenetic relationships of non- 2 archosaurian archosauriforms recently found by Nesbitt et al. (2009a) were followed, 3 but with some changes. In order to include a “proterosuchid”, the Middle Triassic 4 Sarmatosuchus (sensu Gower & Sennikov 1997) was included instead of the Early 5 Triassic Proterosuchus. The information provided by the erythrosuchids was enlarged 6 adding the Russian species Vjushkovia triplicostata, a widely accepted close relative of 7 Erythrosuchus africanus (von Huene 1960; Parrish 1992). In the Middle Triassic time 8 slice, the type species of the proterochampsid genus Chanaresuchus was included 9 (Romer 1971) together with a Chanaresuchus sp. from the Santa Maria Formation 10 (Dornelles 1992, 1995). Besides, a Chanresuchus sp. from the Ischigualasto Formation 11 (Sill et al. 1994) and the two species of Proterochampsa (Sill 1967; Barberena 1982) 12 were incorporated to the Late Triassic tetrapod tree. 13 (12) Phytosauria: the analysis of Parker & Irmis (2006) was followed regarding the 14 phylogenetic relationships of phytosaur crurotarsans. The topology recovered by these 15 authors is fully resolved. Additionally, the relationships among the main lineages of 16 crurotarsans (i.e., phytosaurs, aetosaurs, ornithosuchians, rauisuchians, 17 crocodylomorphs) were reconstructed according to Brusatte et al. (2008). 18 (13) Aetosauria: the phylogenetic relationships of aetosaurs recovered by the 19 analysis of Parker (2007) were followed in this contribution. The phylogenetic 20 relationships among desmatosuchins and typothoracisins are fully resolved. By contrast, 21 the relationships among aetosaurins exhibit two politomies. In order to avoid these 22 ambiguities, Coahomasuchus and both species of Stagonolepis were pruned from the 23 analysis, leaving the taxa that provide more geographic information (i.e., 24 Neoaetosauroides, Aetosaurus, Aetosauroides). 1 (14) Rauisuchia: the phylogenetic relationships among rauisuchians were 2 reconstructed according to the phylogenetic analysis of Brusatte et al. (2008). No 3 poltimies were recovered by these authors within Rauisuchia, and ornithosuchians were 4 found as members of this group as the sister-taxon of Poposauroidea. 5 (15) Pterosauria: the phylogenetic relationships of pterosaurs were reconstructed 6 after the analysis of Brusatte et al. (2008), which does not recover politomies within this 7 clade. 8 (16) Non-dinosaurian Dinosauromorpha: the cladistic analysis performed by 9 Nesbitt et al. (2009b) was used for the phylogenetic relationships of non-dinosaurian 10 dinosauromorphs. No politomies were obtained in this analysis. 11 (17) Ornithischia: the extremely poor Triassic record of ornithischians (Irmis et al. 12 2007) is reflected in the present analysis, in which the only two currently valid Triassic 13 species of the group are included. The ornithischian nature of this species is followed 14 according to Casamiquela (1967) and Butler et al. (2007). 15 (18) Herrerasauria: the phylogenetic relationships among herrerasaurians were 16 considered following the analyses of Novas et al. (2009) and Ezcurra et al. (in review), 17 in which a specimen from the Late Triassic of India (ISI R282) is found as the sister- 18 taxon of Herrerasauridae. 19 (19) Sauropodomorpha: the phylogenetic analyses performed by Novas et al. 20 (2009) and Ezcurra et al. (in review) were used to consider the phylogenetic 21 interrelationships among basal sauropodomorphs. Some politomies were found in this 22 analyses, as consequence Panphagia, Agnosphytis and Pantydraco were pruned with 23 the goal of avoiding such ambiguities but maintaining the maximum of geographic data. 24 25 (20) Non-neotheropod Theropda: Nesbitt et al. (2009c) performed the most recent cladistic analysis of basal theropods, which includes the recently described basal 1 theropod Tawa. Accordingly, this analysis was selected here. No polotimies were found 2 by these authors among non-neotheropod theropods. 3 (21) Neotheropoda: the analysis of Ezcurra & Novas (2007) was chosen for the 4 phylogenetic relationships within Neotheropoda. The European Procompsognathus was 5 pruned from the analysis in order to avoid the polytomy found by these authors within 6 Coelophysoidea. 7 8 9 S3. GEOGRAPHIC AREAS AND TIME SLICES SELECTION Key Middle and Late Triassic tetrapod-bearing assemblages have been selected as 10 geographic areas because of their abundant and/or diverse fossil content. Seven 11 geographic areas were designated to conduct the present cladistic palaeobiogeographic 12 analysis: 13 (1) Ischigualasto-Cuyo (western Argentina: Ischigualasto-Villa Unión, Sierra 14 Pintada, and Cuyo basins): the Cuyo Basin, cropping out in central western Argentina, 15 bears rich tetrapod-bearing assemblages of Middle and Late Triassic age (Marsicano et 16 al. 2001). The Sierra Pintada Basin has rich tetrapod faunas of Early and early Middle 17 Triassic age (Bonaparte 1981; Martinelli et al. 2009). The Ischigualasto-Villa Unión 18 Basin is located in northwestern Argentina, and it is famous for its abundant and diverse 19 late Middle and Late Triassic fossil content, including one of the oldest known dinosaur 20 faunas (Rogers et al. 1993). These geological basins of western Argentina have been 21 considered as a single geographic area (Ischigualasto-Cuyo) because they document a 22 quite continuous temporal sequence in the southwestern extreme of the supercontinent 23 of Pangaea. 24 25 (2) Santa Maria (southern Brazil: Santa María Supersequence): this sequence crops out in southern Brazil and documents abundant Early, Middle, and Late Triassic 1 tetrapod faunas (Langer et al. 2007). The tetrapod faunas of the Santa Maria (late 2 Middle and early Late Triassic) and Caturrita (middle Late Triassic) formations were 3 considered in this analysis (Langer 2005a). 4 (3) Africa (meridional Africa depocenters): several localities from meridional 5 Africa, most of them corresponding to the Karoo Basin, were considered as composing 6 a single geographic area (Africa). The Ischigualastian Triassic record of meridional 7 Africa is quite biased, so this geographic area was not considered in the analysis of this 8 time slice (Anderson et al. 1998; Lucas & Hancox 2001). 9 (4) Asia: several Asiatic tetrapod-bearing sedimentary units of Middle and Late 10 Triassic age have been included in this analysis and all grouped in the geographic area 11 of Asia. The Late Triassic record from this geographic area is strongly patched, and it 12 was not considered in the analyses of the Ischigualastian and Coloradian time slices 13 (Benton 1983). 14 (5) Europe: in this geographic area the tetrapod-bearing beds of Middle and Late 15 Triassic age of the West European depocenters and the Keuper Group were included 16 (Benton 1983). 17 (6) North America (meridional North America): in this geographic area the basins of 18 the Newark Supergroup and the Chinle Group were considered. These beds preserve an 19 abundant and diverse sample of tetrapods that inhabited the northwestern extreme of 20 Pangaea during the Middle and Late Triassic (e.g., Long & Murry 1995; Irmis 2005). 21 (7) India (central India: Pranhita-Gondavari and Son-Mahanadi basins): the Middle 22 and Late Triassic tetrapod record of India is well-represented in the Pranhita-Gondavari 23 and Son-Mahanadi basins (Bandyopadhyay & Sengupta 2006). Accordingly, the 24 tetrapods collected from these sedimentary basins have been grouped in the geographic 25 area of India. 1 2 The time slicing protocol introduced by Upchurch et al. (2002) for TRAs was 3 implemented here. Three time-frames were selected to conduct the palaeobiogeographic 4 analysis: Middle Triassic, Ischigualastian (early Late Triassic), and Coloradian (late 5 Late Triassic) (Bonaparte 1973; Langer 2005a, b). The Reptile-Ages Ischigualastian and 6 Coloradian were chosen over stratigraphical ages (i.e., Carnian-Rhaetian), because they 7 are defined by key tetrapod taxa among Triassic continental tetrapod faunas which seem 8 to be of global extent (Bonaparte 1973; Langer 2005a, b). By contrast, the 9 stratigraphical ages are largely determined by marine conodont biozones (Muttoni et al. 10 2001), and absolute age assessments and correlations among continental Triassic rock 11 units are notoriously difficult (Muttoni et al. 2004). Accordingly, Reptile-Ages are more 12 adequate as time-slices in order to conduct a TRA of Triassic continental biotas. 13 14 S4. TREATMENT OF THE “WIDESPREAD TAXA” PROBLEM 15 When a taxon is found in two or more of the employed geographic areas this is 16 considered a “widespread taxon”. Such distributions would be consequence of several 17 different reasons, including missing data and biotic dispersal. Cladistic biogeographers 18 have coped with this problem following three different alternative assumptions 19 (assumption 0, 1 or 2), which differ in the allowed cladogenetic relationships among the 20 areas in which the taxon is distributed (Nelson & Platnick 1981; Zandee & Roos 1987; 21 Sanmartin & Ronquist 2002). The use of these assumptions allows widespread taxa to 22 be included in these analyses (Upchurch et al. 2002). 23 In the present cladistic palaeobiogeographic analysis some widespread taxa are 24 present, including Aetosauroides, Hyperodapedon sanjuanensis, Exaeretodon spp., 25 Metoposaurus, Massetognathus, Luangwa, Diademodon, Cynognathus, Kannemeyeria, 1 and Cyclotosaurus. With the exception of the genus Exaeretodon, all the other taxa are a 2 single widespread species or no sufficient information is currently available to separate 3 specimens at an alfa-taxonomic level. Accordingly, these taxa were treated following 4 the assumption 2 of Nelson & Platnick (1981), which allows a failure to vicariate, 5 extinction, dispersal, or any combination of these events as an explanation for the origin 6 of widespread distributions (van Veller et al. 1999). By contrast, Exaeretodon has four 7 distinct species recognized in three geographic areas (i.e., Exaeretodon major: Santa 8 Maria; Exaeretodon riograndensis; Exaeretodon statisticae: India; Exaeretodon 9 frenguelli: Ischigualasto; Cabrera 1943; Chatterjee 1982; Abdala et al. 2002). This 10 genus should be treated following the assumption 0 of Zandee & Roos (1987), in which 11 the widespread distribution of the taxon is result of a failure to speciate in response to 12 vicariant events affecting other lineages and it is considered as a synapomorphy of the 13 areas in which it occurs (Sanmartin & Ronquist 2002). However, no currently available 14 analysis successfully reconstructed the phylogenetic relationships among the species of 15 Exaeretodon, and since the programs used here to conduct the TRAs cannot deal with 16 politomies, the assumption 2 has been also used for the genus Exaeretodon. 17 18 S5. OPTIMAL AREA CLADOGRAMS (OACs) SEARCH PARAMETERS 19 The OACs have been reconstructed with the program COMPONENT 2.0 (Page 20 1993) based on the information provided by the composite tree of Middle and Late 21 Triassic tetrapods performed here. The geographic areas (hosts) without associates were 22 interpreted as missing information. A heuristic search employing nearest-neighbor 23 interchanges as branch swapping algorithm was conducted and “losses” was used as the 24 optimal criterion instead of the optimization of “leaves added”. 1 The use of “leaves added” as the optimal criterion during the search of the OACs 2 maximizes the number of codivergences among the geographic areas. However, when 3 some of the employed geographic areas have a poor taxonomic sample, usual when we 4 are working with palaeontological evidence, the leaves added optimization will tend to 5 recover these areas closer to the root of the tree or clade. This is result of the low 6 number of taxa sampled from these areas, which result in a lower probability of 7 codivergences with other areas than it would be recovered between two well-sampled 8 territories. By contrast, the optimization of “losses” during the search is less sensitive to 9 these poorly sampled geographic areas, and will be more effective to reconstruct their 10 palaeobiogeographic affinities. Accordingly, I have used the latter optimal criterion in 11 order to perform the search of the OACs. 12 13 14 In order to compare the two optimal criteria, the following results are found when the “leaves added” criterion is used: (1) Middle Triassic: in this time slice almost the same topology is recovered for the 15 single OAC. The difference relapses in the position of India, the worst sampled 16 geographic area of this time slice (an unsurprising result because of the sensitive of the 17 algorithm for poorly sampled areas). In this analysis, India is found as the sister-area of 18 the clade which includes Asia, Europe, and North America. The randomization test 19 found a significant statistical support (p < 0.05) for the TRA of this time slice. 20 21 22 (2) Ischigualastian: the same OAC has been recovered for the Ischigualastian employing either of the two optimal criteria. (3) Coloradian: this time slice exhibits the greater difference between the 23 employments of the two optimal criteria. The optimization of “leaves added” found a 24 single OAC of the following topology: (Santa Maria, (India, (South Africa, 25 (Ischigualasto, (Europe, North America))))). It must be noted that Ischigualasto and the 1 Europe + North America clade share several codivergent events, but Santa Maria and 2 India seem to be found artificially outside all the other geographic areas because of the 3 poor sample of their Coloradian tetrapod record (Langer et al. 2007, 2009; Kutty & 4 Sengupta 1989; Bandyopadhyay & Sengupta 2006). The randomization test recovered 5 that the reconstruction generated by the TRA in this time slice was not statistically 6 significant (p > 0.05). 7 8 S6. RECONSTRUCTION OF BIOGEOGRAPHIC EVENTS AND 9 RANDOMISATION TEST ANALYSES 10 Reconstructions of biogeographic events for each time-slice were conducted in 11 TreeMap 1.0 (Page 1995) through heuristic searches. Regarding the statistical analyses, 12 a randomisation test which generates random area cladograms and reconciles each of 13 them with the phylogenetic cladogram was performed (Page 1991). This test has the 14 goal of determining the probability that the observed biogeographical pattern could have 15 occurred only by chance (Page 1994a, 1995). The area cladograms were randomized 16 instead of the tetrapod phylogeny, because in this analysis I wanted to test which was 17 the effect in the reconciliation analysis of alternative random OACs onto a steady 18 phylogenetic framework. Besides, it was considered here that the size of the OACs (the 19 smaller one with 5 terminals) was sufficient to provide a good statistical test for the 20 TRA. Accordingly, for each time slice, 10,000 randomised replications were conducted 21 using the “proportional to distinguishable” algorithm. This randomisation test was 22 conducted in TreeMap 1.0. The topology recovered in the OACs was considered as 23 statistically significant if less than 5% of the replicates (p < 0.05) reached the number of 24 codivergences found in the original TRA. 25 1 2 S7. SSf CALCULATION The TRAs performed in TreeMap 1.0 recover the number of codivergences 3 (coespeciations), sympatric splits (duplications), extinctions (sorting events), and 4 dispersals (host switches) present at each data frame (Sanmartin & Ronquist 2002). In 5 the present contribution, the frequency of sympatric splits (SSf) was calculated 6 following equation 1, in order to compare the importance that had this 7 macroevolutionary event at each time slice. 8 9 10 11 SSf = (SS/CE)*100 (1) SSf: frequency of sympatric split events over the total of cladogenetic events present in the taxon cladogram. 12 SS: number of sympatric events found by the TRA. 13 CE: number of cladogenetic events document by the phylogenetic tree. 14 15 S8. PALAEOLATITUDINAL OPTIMIZATION ON THE OACs, 16 PALAEOLATITUDINAL CONSISTENCY INDEX, AND STATISTICAL 17 SUPPORT. 18 In order to obtain a quantitative measure of the relationships between 19 palaeolatitudinal distinctions and the topology obtained in the OACs, a 20 “palaeolatitudinal consistency index” was calculated. First, the palaeolatitudes of the 21 respective geographic areas were scored in the continuous character “palaeolatitude”, 22 treated as such (Goloboff et al. 2006). This character was treated a priori polarization. 23 Then, this character was optimized on the topologies of the recovered OACs of each 24 time slice using the program TNT 1.1. (Goloboff et al. 2008). Finally, the consistency 25 index of the character “palaeolatitude” (PltCI) was calculated (see equation 2). A closer 1 value of the consistency index to 1 indicates less degree of homoplasy for the character 2 (Kluge & Farris 1969) (Fig. S9). Accordingly, a stronger palaeolatitudinal signal in the 3 reconstructed OAC is indicated as closer the PalCI is to 1. 4 5 PltCI = Pltm/Plts (2) 6 PltCI: palaeolatitudinal consistency index. 7 Pltm: number of states of the palaeolatitudinal character – 1 (i.e. minimum number 8 9 10 of changes in any tree). Plts: number of steps recovered in the optimization of the palaeolatitudinal character on the OACs. 11 12 Finally, a statistical analysis generating P-values was performed through a sample 13 of randomized trees in order to test the likelihood of recovering the Ischigualastian 14 palaeolatitudinal signal by chance alone. 10,000 random rooted trees of the same 15 number of leaves recovered in the Ischigualastian OAC (i.e., 5 geographic areas) were 16 generated with the program COMPONENT 2.0. This program generates random trees 17 through an algorithm which uses the numbering scheme of Furnas (1984). It establishes 18 a one-to-one correspondence between the integers 1 to k, where k is the number of 19 unlabelled trees for n taxa (Page 1993). Using a uniform random number generator a 20 random number between 1 and k is obtained, and employed to recover a random tree 21 (Page 1993). The character palaeolatitud was optimized onto this set of random 22 cladograms and the consistency index of the character was calculated with TNT 1.1. A p 23 value was generated with the number of random trees which recovered the same 24 palaeobiogeographic signal as the original OAC (i.e., the same PltCI). Through these 1 proceeding a significant statistical support was found (p = 0.0094), indicating that the 2 Ischigualastian palaeolatitudinal signal is very unlikely to have occurred by chance. 3 1 2 Figure S9. Optimization of the palaeolatitud of each geographic area as a continuous 3 character onto the OACs of each time slice. The palaeolatitud of each terminal was 4 divided by 10 in order to work with smaller values (e.g., for Africa during the 5 Coloradian: 55°/10 = 5.5). Abbreviations: CI, consistency index. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 ADDITIONAL REFERENCES IN SUPPLEMENTAL INFORMATION Abdala, F. & Teixeira, A. M. S. 2004. A traversodontid cynodont of African affinity in the South American Triassic. Palaeontol. Afr. 40, 11–22. Abdala, F., Barberena, M. A. & Dornelles, J. 2002. A new species of the traversodontid cynodont Exaeretodon from the Santa Maria Formation (Middle/Late Triassic) of southern Brazil. JVP 22, 313–325. Abdala, F., Neveling, J. & Welman, J. 2006. A new trirachodontid cynodont from the lower levels of the Burgersdorp Formation (Lower Triassic) of the Beaufort Group, South Africa and the cladistic relationships of Gondwanan gomphodonts. ZJLS 147, 383–413. Abdala, F. & Smith, R. M. 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