Appendix S2. Additional Phylogenetic Procedures and Results Phylogenetic Procedures As described in the main text, we used Pyron & Wiens’ (2011) phylogenetic hypothesis, the largest estimate of extant amphibian phylogeny to the moment. However, this phylogeny still lacks 1820 of the 3017 amphibians that should be considered in any conservation study. These species that are “missing” from the base tree are hereafter referred as “Phylogenetic Uncertain Taxa” or PUT. To include a PUT in the analysis it has to be inserted in the phylogeny. The insertion starts by defining the most derived consensus clade (MDCC) to which each PUT unquestionably belongs. Our primary sources of information to identify the MDCC of each PUT were the Amphibian Species of the World (ASW; Frost, 2011) and the Amphibian Web (AW) databases. We compiled all the relevant information available in these databases, including the cited taxonomic and phylogenetic literature. For example, Pyron & Wiens’ (2011) phylogeny contains only one representative of the genus Adelophryne (Adelophryne gutturosa). Available information in ASW concerning Adelophryne relationship with other taxa suggests that the genus is monophyletic (Hedges et al., 2008; Pyron and Wiens, 2011; Fouquet et al., 2012). However, there is no agreement about the relationship between PUT species that are member of the genus (A. adiastola, A. baturitensis, A. maranguapensis, A. pachydactyla and A. patamona). Thus, we assigned Adelophryne gutturosa as the MDCC of all PUT in the genus Adelophryne. PUT with very poor information, such as Adelastes hylonomos and Altigius alios, were assigned to a MDCC following the taxonomy presented at ASW and AW, which is the family Microhylidae (sensu Pyron & Wiens, 2011, since it is strongly supported) in this case. Consensus taxonomic groups such as Dendropsophus microcephalus group and Dendropsophus rubicundulus group were also acknowledged and used as MDCC when necessary. Conversely, all information in ASW and AW that suggest possible relationship but is also uncertain, such as “possibly the sister-taxon”, was not considered, and a more basal MDCC was defined. In the figure 1 we show the entire phylogeny, where species present in Pyron and Wiens’ (2011) are shown in black, and PUT are highlighted in red and assigned to their respective MDCC. Figure 1. The phylogeny of the 3027 New World anurans. Species present in Pyron & Wiens’ (2011) phylogeny are presented in black. Phylogenetically uncertain taxa (PUT) are shown in red, placed polytomically in their respective Most Derived Consensus Clade (MDCC). Once all PUT are assigned to their respective MDCC, we employed a Monte Carlo procedure (Rangel et al. 2013) that is similar to approaches described and used by Housworth and Martins (2001), Day et al. (2008), FitzJohn et al. (2009) and Kuhn et al. (2011). The procedure allows the generation of a possible phylogeny by assuming random placement of PUT within their MDCC (or “constrained phylogeny” in Housworth and Martins, 2001). Once a PUT is inserted in a random branch of the MDCC, its own branch length is randomly sampled from a Gaussian distribution with mean and standard deviation defined based on the distribution of branch lengths within the MDCC. The algorithm iterates until all PUT have been inserted within the clade defined by its MDCC, which produces a fully resolved phylogeny. The fully resolved phylogeny is then used in our analysis of EH loss, and results of the analysis are stored. Finally, the entire procedure is replicated, with a new sampled phylogeny. The variation in the results obtained from the replicates of the analysis using different phylogenies is caused by phylogenetic uncertainty. Software PAM (Rangel & Diniz-Filho 2013), which implements the phylogenetic uncertainty procedure described above is available under request. Also, one of us is currently working on a R package to be released in the first semester of 2013. Finally, the PUT insertion procedure is also available through an web-based interface available at: http://wsmartins.net/webtrex/ Additional results Species richness of amphibians is highly patterned across the Western Hemisphere and evolutionary history (EH), as measured by the sum of branches connecting a pool of species to the root of the phylogenetic tree, follows the same pattern (r=0.97, p<0.001) (Fig. 2). High values of richness (Fig. 2a) and EH (Fig. 2b) are concentrated in South America and a portion of Central America, specifically on Brazil, Bolivia, Ecuador, Colombia, Panamá and Costa Rica. Species richness ranged from 1 and 160 species per cell (average 25 species). However, only 151 cells (4% of the total), located in the Amazon and Atlantic Forests, show richness values greater than 100 species (Fig. 2a). Grid cells with 30 species or less (70%) are concentrated in temperate region. Figure 2. Spatial pattern in species richness (a) and evolutionary history (EH) (b). We observed a similar pattern in the magnitude of difference between Random and IUCN scenarios measured by the Sub-optimality index and the Partial suboptimality indexes. Following the richness of threatened species, high negative t values are located along Central America, Caribbean and northern Andes for all proportions of species evaluated. However, several cells with positive t value in the ISB analyzes showed values of t nearly zero in PISB analyses. Nevertheless, Brazilian Atlantic forest still showed cells with positive t values for the Partial sub-optimality index comprising threatened and DD species (PISB_DD, Fig. 3b), indicating that DD species display an important role for the rate of EH loss in these region. Figure 3. Values of t for each cell with more than four species. (a) t values for the Partial sub-optimality index comprising only the proportion of threatened species of the cell (PISB index); (b) t values for the Partial sub-optimality index comprising threatened and DD species (PISB_DD index). References AmphibiaWeb (2011) Information on amphibian biology and conservation. Berkeley, California: AmphibiaWeb. Available: http://amphibiaweb.org/. Day, J.J., Cotton, J.A. & Barraclough, T.G. (2008) Tempo and mode of diversification of Lake Tanganyika cichlid fishes. PLoS ONE, 3, e1730. FitzJohn, R.G., Maddison, W.P. & Otto, S.P. (2009) Estimating trait-dependent speciation and extinction rates from incompletely resolved phylogenies. Systematic Biology, 58, 595-611. Fouquet, A., Loebmann, D., Castroviejo-Fisher, S., Padial, J.M., Orrico, V.G.D., Lyra, M.L., Roberto, I.J., Haddad, C.F.B. & Rodrigues, M.T. (2012) "From Amazonia to the Atlantic forest: Molecular phylogeny of Phyzelaphryninae frogs reveals unexpected diversity and a striking biogeographic pattern emphasizing conservation challenges. Molecular Phylogenetics and Evolution, 65, 547–561. Frost, D.R. (2011) Amphibian species of the world: an online reference, Version 5.5 (http://research.amnh.org/vz/herpetology/amphibia/). Hedges, S.B., Duellman, W.E., Heinicke, M.P., 2008. New World direct-developing frogs (Anura: Terrarana): molecular phylogeny, classification, biogeography, and conservation. Zootaxa, 1737, 1–182. Housworth, E.A. & Martins, E. P. (2001) Random sampling of constrained phylogenies: conducting phylogenetic analyses when the phylogeny is partially known. Systematic Biology, 50, 628-639. Kuhn, T.S., Mooers, A.O., & Thomas, G.H. (2011) A simple polytomy resolver for dated phylogenies. Methods in Ecology and Evolution, 2, 427-436. Pyron, R.A. & Wiens, J.J. (2011) A large-scale phylogeny of Amphibia including over 2,800 species, and a revised classification of extant frogs, salamanders, and caecilians. Molecular Phylogenetics and Evolution, 61, 543-583.