Journal of Biogeography SUPPORTING INFORMATION Functional redundancy of multiple forest taxa along an elevational gradient: predicting the consequences of non -random species loss Akira S. Mori, Takayuki Shiono, Takashi F. Haraguchi, Aino T. Ota, Dai Koide, Takayuki Ohgue, R yo Kitagawa, R yo Maeshiro, ToeToe Aung, Taizo Nakamori, Yusuke Hagiwara, Shunsuke Matsuoka, Anzu Ikeda, Takuo Hishi, Satoru Hobara, Eri Mizumachi, Andreas Frisch , Göran Thor, Takashi Osono, Saori Fujii and Lena Gustafsson Appendix S1 Details of the functional effect traits. For the selection of functional effect traits of vascular plants and mosses, we followed the recommendations of Cornelissen et al. (2003) and Cornelissen et al. (2007), respectively. We collected trait data for plants from a variety of available data sources. For woody plants, we relied on growth form, maximum attainable height, leaf phenology, leaf width, specific leaf area and wood density. For herbaceous plants, we used the same effect traits apart from wood density. For ferns, we used growth form, maximum attainable height, leaf phenology, stem diameter, petiole length, leaf width, ramentum length and pinna length as functional effect traits. For mosses, we focused on habitat types, shade preference, maximum attainable height, branch length, leaf length and leaf cell width. Some argue that habitat type is not a trait (e.g. Violle et al., 2007) while others regard preferred habitat as an important behavioural/morphological characteristic (e.g. Schleuter et al., 2010). Because of the possible significance of the presence of a particular bryophyte species in a given habitat based on biogeochemical cycles (Cornelissen et al., 2007), we used this trait. For oribatid mites we used body mass, length-to-width ratio of body size, head-to-body size ratio, number of claws, sensillus types, seta types, surface structures, dietary types and the MPG classification (Macropylina, Gymnonota or Poronota) (Aoki, 1983; Mori et al., 2015). Traits for oribatids were determined by measurement in the laboratory in addition to a review of the literature; for the measurements, we used a minimum of five individuals for each species and used mean values to describe species-specific traits. Similarly, we measured the functional effect traits of ground-dwelling spiders, including body length, number of claws, visual acuity, ability to walk and feeding guild (Cardoso et al., 2011). We omitted several traits that were correlated with the above traits from our datasets. Table S1 summarizes the descriptions of trait data. There are potential issues that need to be specified because metrics of functional diversity are sensitive to available trait data. For example, if the range variations are different between traits 1 (e.g. the values of some traits represent the global range while those of others reflect the local range), the results will not be the same as those calibrated using data that all span the global range. Although we confirmed with preliminary analyses that the variation of some traits reflected the global range well, we could not analyse fully whether this was true across all traits. Another caveat that should be stressed is a possible lack of key traits for disentangling the main issues, which is often the case for calculations of functional diversity. Further empirical investigations are thus needed to understand the conditions under which functional redundancy emerges along a biogeographical gradient. 2 Table S1 Functional effect traits used in the analysis. Nominal data were based on several categories and continuous data could take any value within a certain range. Taxonomic group Functional effect trait Type Growth form Nominal Woody plants Height Continuous Leaf phenology Nominal Leaf width Continuous Wood density Continuous Specific leaf area Continuous Growth form Nominal Herbaceous plants Height Continuous Leaf phenology Nominal Leaf width Continuous Wood density Continuous Specific leaf area Continuous Growth form Nominal Ferns Height Continuous Leaf phenology Nominal Leaf width Continuous Branch length Continuous Petiole length Continuous Stem diameter Continuous Ramentum length Continuous Pinna length Continuous Preferred habitat (ground/log/soil/mound/trunk/rock) Nominal Mosses Shade preference Nominal Branch length Continuous Stem height Continuous Leaf length Continuous Leaf cell width Continuous Body mass Continuous Oribatid mites Body ratio (length to width) Continuous Head fraction (ratio head length to body length) Continuous Number of claws Ordinal Sensillus type Nominal Seta type Nominal Surface structure Nominal Dietary type Nominal Macropylina/Gymnonota/Poronota category Nominal Body length Continuous Ground-dwelling spiders Number of claws Ordinal Visual acuity (ratio ocellus diameter to body length) Continuous Ability to walk (ratio femur diameter to body length) Continuous Feeding guild Nominal 3 Appendix S2 Analysis of variation partitioning methodology. Because we are primarily interested in taxon-dependent turnover of species (see also Qian, 2009; Chytrý et al., 2012; Qian & Ricklefs, 2012; Wang et al., 2012), we evaluated our data to see whether the values of taxonomic turnover reflected the degree of dispersal limitation that each taxonomic group experiences in the mountainous landscape of Shiretoko National Park, Hokkaido, Japan. Because of this objective, we separated vascular plants into five different groups based on dispersal vector: woody plants dispersed by autochory, woody plants dispersed by allochory, herbaceous plants dispersed by autochory, herbaceous plants dispersed by allochory, and ferns. For each group of organisms (eight groups in total), we estimated the relative weight of the spatial fraction as well as environmental and unknown fractions that determine -diversity (Sørensen’s index) following the methods of Peres-Neto et al. (2006). In this analysis, we used subplot-based data to create an adequate number of samples. Prior to the analysis, Hellinger standardization was performed to reduce the effects of regionally rare species (Legendre & Gallagher, 2001). We then conducted a canonical redundancy analysis and selected meaningful environmental variables as determinants of community structure based on forward selection (999 permutations with an alpha criterion = 0.10) following Blanchet et al. (2008). Elevation, light, soil properties [litter thickness, litter mass, water content (WC), pH and carbon to nitrogen ratio (C:N)], basal area (BA) and coarse woody debris (CWD) were taken as candidate determinants. Elevation, light and BA were selected for woody plants. Elevation and light were selected for herbaceous plants and ferns. Elevation, pH, CWD and light were selected for mosses. Elevation and litter thickness were selected for oribatids. Elevation, pH and litter mass were selected for spiders. We relied on these sets of variables as critical local environmental factors underlying the structure of communities for each group. We constructed spatial models using spatial variables extracted based on Moran’s eigenvector maps (MEMs; Borcard et al., 2004) to assess the importance of spatial structuring in the communities. The MEM analysis produced a set of orthogonal spatial variables derived from the geographical coordinates of the sampling locations. We used the MEM that best accounted for autocorrelation and then conducted forward selection (1000 permutations with an alpha criterion = 0.10) to select meaningful spatial factors that influenced community dissimilarities. Based on these environmental and spatial models, we 4 performed variation partitioning by calculating adjusted R2-values for each fraction (Peres-Neto et al., 2006). The fractions obtained from each group were then tested using their slope values (the slope of the linear regression of the -diversity index against pairwise absolute elevational differences) and the Spearman’s rank correlation; we expected the fraction reflecting the spatial structure of meta-communities to be negatively correlated with the rate of species turnover (i.e. dispersal-limited groups structured more by space to have faster taxonomic turnover). Our study compared the spatial community structure across eight organism groups. To date, only the study of De Bie et al. (2012) is comparable with our multi-taxon approach designed to test a relationship between spatial structure and dispersal vector. According to De Bie et al. (2012), propagule size as a dispersal vector is the major determinant of the degree of dispersal limitation for passive dispersers in aquatic communities. As our focal plant groups are also dispersed passively, mean seed/spore mass was tested with each fraction of variation partitioning. As data for the mass of seeds and spores were only available for vascular plants, we limited this analysis to the vascular plant groups. For this test, we again used the Spearman’s rank correlation to make our findings comparable with those of De Bie et al. (2012). 5 Appendix S3 Changes in species richness of the eight taxonomic groups along the elevational gradient. Species richness tended to peak at mid-elevations (Fig. S1). Although the hump-shaped (unimodal) distribution of species richness along the elevational gradient was not clear for some groups, such as ferns and mosses, the trend was, to some extent, consistent across the focal taxonomic groups. The lack of a discrepancy in species richness distribution among the groups needs to be confirmed; otherwise, a contrasted richness pattern may potentially affect the level of taxonomic turnover. 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