Journal of Biogeography SUPPORTING INFORMATION Partitioning taxon, phylogenetic and functional beta diversity into replacement and richness difference components Pedro Cardoso, François Rigal, José C. Carvalho, Mikael Fortelius, Paulo A.V. Borges, Janos Podani and Denes Schmera Appendix S1 Phylogenetic and functional analysis of Christmas Island rats. The extinction of two endemic Rattus species (R. macleari and R. nativitatis) from Christmas Island (Australia) is a well-known example of island extinctions due to invasive species. Both endemics were abundant before the black rat (R. rattus) introduction in 1899 and, probably due to the spread of an infectious trypanosome, both went extinct shortly thereafter (Wyatt et al., 2008). Isolating the phylogenetic tree for these three species alone using the software TREESNATCHER (Laubach et al., 2012), the extinct R. nativitatis is the sister taxon to both congenerics, therefore encompassing the most unique phylogenetic information (Wyatt et al., 2008; Fig. S1). Being the only fossorial and probably diurnal species, R. nativitatis was also most unique in terms of functional traits (Table S1). We calculated Euclidean distances and built a functional tree using UPGMA (the unweighted pair group method with arithmetic mean). We then calculated βtotal, βrepl, βrich, βjtu, βjne, βsor, βsim and βsne (for definitions not in this paper, see Baselga, 2010, 2012; Leprieur et al., 2012; Villé- Figure S1 Phylogenetic tree for the Rattus species of Christmas Island. ger et al., 2013), for taxon, phylogenetic and functional data comparing the fauna before and after the extinction period (Table S2). Although there are no species in common before and after the invasion/extinction event, because there are parts of the phylogenetic tree and functional traits that were in fact preserved (although by a cosmopolitan species), the phylogenetic and functional turnover is not complete Table S1 Functional characteristics used to quantify functional diversity of Christmas Island rats (data from Andrews, 1909; Lamoreux, 2009a,b). Food Rattus macleari Rattus nativitatis Rattus rattus Vertical strata Activity period Plants/fruits Animals Soil Trees Day Night 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 Table S2 Beta diversity values of comparisons pre- and post-extinction of endemic Rattus species in Christmas Island with the introduction of Rattus rattus. βtotal and βsor = total dissimilarity; βrepl, βjtu and βsim = dissimilarity derived from true turnover, i.e. replacement; βrich, βjne and βsne = dissimilarity derived from richness difference. Tβ Pβ Fβ βtotal βrepl βrich βjtu βjne βsor βsim βsne 1.000 0.936 0.911 0.667 0.582 0.549 0.333 0.355 0.363 1.000 0.901 0.861 0.000 0.035 0.050 1.000 0.880 0.837 1.000 0.820 0.756 0.000 0.060 0.081 (Tβtotal = 1; P/Fβtotal < 1). Additionally, as species, phylogenetic data and functional traits were effectively lost, part of the total dissimilarity is not due to replacement (βtotal > βrepl) but is instead reflected in richness differences on all dimensions (βrich > 0). While our framework reflects the overall loss of one species (Tβrich = 0.333), the previous methods (Baselga, 2010, 2012; Leprieur et al., 2012; Villéger et al., 2013) claim that two species were completely replaced by a single species (Tβjtu = Tβsim = 1), with no beta attributable to richness differences (Tβjne = Tβsne = 0). While the new method reflects the loss of major phylogenetic information with the extinction of the most unique species (Pβrich = 0.355), this loss is identified as minor by the previous methods (Pβjne < Pβsne = 0.060). Finally, the loss of a functionally unique species is proportionally reflected by the new framework (Fβrich = 0.363), contrary to the previous methods (Fβjne < Fβsne = 0.081). REFERENCES Andrews, C.W. (1909) On the fauna of Christmas Island. Proceedings of the Zoological Society, 1909, 101–103. Baselga, A. (2010) Partitioning the turnover and nestedness components of beta diversity. Global Ecology and Biogeography, 19, 134–143. Baselga, A. (2012) The relationship between species replacement, dissimilarity derived from nestedness, and nestedness. Global Ecology and Biogeography, 21, 1223–1232. Lamoreux, J. (2009a) Rattus macleari. In: IUCN 2012. IUCN Red List of Threatened Species. Version 2012.2. Available at: http://www.iucnredlist.org/ (downloaded on 02 May 2013). 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