Table S1 Review of previous studies that compared phylogenetic (and functional) distinctiveness between introduced and native species to test Darwin’s Naturalization Conundrum in natural plant communities (see Thuiller et al., 2010 for a summary of all studies investigating phylogenetic patterns of invasions). Results find phylogenetic and/or functional similarity (i.e. clustering, “-“), dissimilarity (i.e. overdispersion, “+”) of invasive species nested in or compared to the native community, or no significant pattern (“ns”). Statistical models are coded as follows: response variable ~ explanatory variable1 + explanatory variable2. Test is indicated in parentheses, GLM = generalized linear model. Reference Taxonomic Scale Spatial Scale (grain) Phylogeny type (method) Supertree Phylogenetic distance metrics MNNPD MPD Traits Strauss et al., 2006 Poaceae (genuslevel) California (state and five ecologically diverse reserves) Cadotte et al., 2009 Angiosperms Cadotte et al., 2010 Davies et al., 2010 Trait difference metrics χ2 Statistical model (test) Null Hypothesis Results: Traits Phylogenetic distance metrics ~ pest vs. nonpest (t-test) None ns Australia, small scale (Royal National Park) and large scale (whole continent) Supertree & Maximum likelihood (matK, rbcL, & ITS), missing species added as polytomies Phylogenetic signal of occupancy (Blomberg’s K) None NA Compared to 95% CI of the expected distribution under the null model Randomize species occurrence matrix NA - (large scale), ns (small scale) Angiosperms Central and Northern California, 4 sites, 30-50 replicate plots (1m2) Megaphylogeny (matK, rbcL, & ITS) PD MNND* MPD* None NA Compared to 95% CI of the expected distribution under the null model Randomize species occurrence matrix (swap names) NA - (within pots), low phylogenetic turnover Angiosperms California, serpentine ecosystem, small (16m2) and large (10,816m2) spatial scales Supertree MNNPD None NA Compared to 95% CI of the expected distribution under the null model Randomize species occurrence matrix NA + (stronger at small scales) Area of origin Results: Phylogenetic (scales) + Reference Taxonomic Scale Spatial Scale (grain) Schaefer et al., 2011 Angiosperms (specieslevel) Azores (plots 100m2 1km2, Sao Miguel Islands, Azores Archipelago) Carboni et al., 2012 Angiosperms (specieslevel) Mediterranean coastal dunes (plots 4m2, 64m2, 35km2 ) Phylogeny type (method) Megaphylogeny (matK, rbcL) Phylogenetic distance metrics PNND MPD ** Traits Supertree DNNS † MDNS † Leaf thickness, SLA, height, seed mass, seed shape Life form, seed weight, plant height, seed number, dispersal type, mode of introduction, pollination system Trait difference metrics AET DNNTV Statistical model (test) Null Hypothesis Results: Traits Phylogenetic distance metrics ~ Invasive vs. non-invasive introduced (t-test) 3 models: Probability of invasion success ~ phylogenetic distance metrics (+) AET (+) DNNTV (GLM) none AET: life form and seed weight explain more variation than PNND DNNTV: PNND & dissimilarity in life form Abouheif’s test Probability of community invasion ~ phylogenetic distance metrics + plot identity (random effect) + invader identity (random effect) (MCMCglmm) Randomize presence /absence of invasives among sites, 2-tailed pvalue explains pattern for each invader Phylogenetic signal for leaf thickness, seed mass & seed shape Results: Phylogenetic (scales) + (>1km2)) ns (100m2 ) + (4m2) - (64m2, 35km2 ) Reference Taxonomic Scale Spatial Scale (grain) Phylogeny type (method) Bayesian from barcode regions (rbcL & matK) Phylogenetic distance metrics PNND MPD Traits Bezeng et al., 2013 Angiosperms Robben Island, South Africa, 50m2 plots Park & Potter, 2013 Cardueae, (specieslevel) Ordonez, 2014 Vascular Plants (genuslevel) Statistical model (test) Null Hypothesis Results: Traits None Trait difference metrics NA Phylogenetic distance metrics ~ invasive vs. native (MannWhitney Utest); PNND ~ scale (island vs. plot) + status category (invasivenative, invasiveinvasive, nativenative) Randomize species occurrence matrix NA Results: Phylogenetic (scales) - (both observed and random communities) California (state and floristic provinces) Megaphylogeny (matK, trnL-F & ITS) MNND MPD None NA Phylogenetic distance metrics ~ invasive vs. non-invasive introduced (t-test) NRI/NTI (random assemblages of non-native taxa) NA - Global (83 communities worldwide; global, continental, habitat types) Supertree MNNPD ‡ MPD ‡ SLA, maximum height, seed mass MFD ‡ MNNFD ‡ Phylogenetic distance metrics ~ alien vs. native (Bonferronicorrected unequal sample sizes t-test) NRI/NTI (random assemblages) + - Reference Taxonomic Scale Spatial Scale (grain) Phylogenetic distance metrics PNND MPD D (random vs. Brownian) Traits United Kingdom (country and countryside survey plots) Phylogeny type (method) Megaphylogeny (matK, rbcL; ultrametric) Lim et al., 2014 Vascular Plants (specieslevel) Li et al., 2015 Lososová et al., 2015 Trait difference metrics Invasive vs. noninvasive introduced (binary trait) ~ each trait (GLM) Statistical model (test) Null Hypothesis Results: Traits Phylogenetic distance metrics ~ Invasive vs. non-invasive introduced (GLM country scale, linear mixed effect model plots)) Randomize all tips (for D) Invasives have different abiotic preferences (nitrogen and moisture) Seed Plants Permanentplot study, New Jersey, USA (40 year survey) Megaphylogeny (matK, rbcL & ITS) MNNPD MPD MPDab NA NA Standardized effect size (SES) Randomize exotic tips NA - Vascular Plants (specieslevel) Czech Republic Supertree (ultrametric) MNTD MPD None NA Standardized effect size (SES) Random alien assemblages NA - Life form, height, clonality, and Ellenberg indicator values for light, soil fertility, soil pH, salt tolerance Results: Phylogenetic (scales) ns (both scales) Phylogenetic Distinctiveness Acronyms + : over-dispersion (DNH) - : clustering ns : not significant D: phylogenetic signal of invasiveness (Fritz & Purvis, 2010) DNNS: distance of the invader to its nearest native species MDNS: mean distance of the invader relative to native species MNND: distance from each nonnative taxon to its nearest native relative MNND*: mean nearest neighbor distance (Webb et al., 2002) MNNPD: mean phylogenetic distance for each taxa to nearest native MNTD: mean nearest taxon distance MPD: mean phylogenetic distance of each taxa to the native community MPDab: abundance-weighted MPD MPD*: mean pairwise distance (Webb et al., 2002) NRI: net relatedness index (difference between the observed and expected MPD) NTI: nearest taxon index (difference between the observed and expected MNNPD) PD: phylogenetic diversity (Faith, 1992) PNND: phylogenetic nearest neighbor distance * Calculated for status groups separately ** At different divergence time intervals (SPACoDi) † Residuals regressed against total plot richness ‡ Standardized by the maximum distance for all compared taxa Functional Distinctiveness Acronyms + : over-dispersion (DNH) - : clustering ns : not significant AET: absolute ecological trait values DNNTV: difference in trait values between an introduced and its nearest native relative MNNFD: mean functional distance to the nearest native relative for each taxa MFD: mean functional distance between each taxa and all native species it co-occurs with REFERENCES: Bezeng B.S., Savolainen V., Yessoufou K., Papadopulos A.S., Maurin O., & Bank M. 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