Supplementary material Schuldt et al. - Woody plant phylogenetic diversity mediates bottom-up control of arthropod biomass in species-rich forests Methods sampling design A funnel-shaped beating sheet (70 cm diameter) was placed at the base of the sampled tree and arthropods were dislodged and knocked down from the tree onto the sheet by sharply hitting the tree seven times with a beating stick. In each study plot, 25 tree and shrub saplings were sampled along a transect running diagonally through the plot. Every two meters, the sapling growing closest to the transect line was selected, resulting in a random selection of tree and shrub species in each plot. To assess the degree to which the 25 randomly selected tree and shrub saplings reflect the differences in the community composition among plots of the overall woody plant communities, we compared the sapling and overall plant communities with Procrustes analysis. For this analysis, we calculated community dissimilarities among plots for sampled saplings and overall woody plant data with nonmetric multidimensional scaling (NMDS) analysis. Abundance data in both species sets were square root transformed and the MorisitaHorn index was used as a dissimilarity metric. NMDS were based on two-dimensional analyses (k = 2), with stress values < 0.2 indicating appropriate fit. Procrustes analysis of the sapling and overall plant NMDS objects (symmetric Procrustes rotation) was conducted with the protest function in the vegan package in R (Oksanen et al. 2013), with P values estimated based on 999 permutations. As with most sampling methods, a few of the arthropod individuals sampled with the beating method might belong to vagrant species not necessarily directly associated with the plant individual they were collected from. However, as we focused on plot-level data (arthropod data were averaged across all individuals per plot, see ‘Statistical analysis’) rather than individual plants or plant species, and many of the abundant taxa such as lepidopteran caterpillars are not highly mobile, the potential occurrence of such vagrants can be assumed to have little effect on our analyses. Moreover, although interspecific differences in the precision of these equations necessarily include a certain extent of estimation error, the equations represent average estimates derived from a wide range of different species in a given taxon and have been shown to adequately capture taxon-specific biomass patterns of arthropod assemblages that are comparable in complexity to those of our study (Lampert and Tlusty 2013; Wardhaugh 2013). Lampert A, Tlusty T (2013) Resonance-induced multimodal body-size distributions in ecosystems. Proceedings of the National Academy of Sciences USA 110:205-209 Oksanen J, Blanchet FG, Kindt R, Legendre P, Minchin PR, O'Hara RB, Simpson GL, Solymos P, Henry M, Stevens H, Wagner H (2013). vegan: Community Ecology Package. R package version 2.0-10. http://CRAN.R-project.org/package=vegan. Last accesssed 31 May 2014 Wardhaugh CW (2013) Estimation of biomass from body length and width for tropical rainforest canopy invertebrates. Australian Journal of Entomology 52:291-29 1 Table S1. Overview of the higher taxa sampled, their functional group identity, and total number of individuals and overall biomass per taxon for beating samples from 27 forest plots in subtropical China Taxon Araneae Opiliones Coleoptera - Cantharidae Coleoptera - Carabidae Coleoptera - Chrysomeloidea Coleoptera - Coccinelidae Coleoptera - Curculionidea Coleoptera - Scarabaeidae Coleoptera - Staphylinidae Dermaptera Hemiptera - Aphidina Hemiptera - Auchenorrhyncha Hemiptera - Heteroptera Hemiptera - Heteroptera - Reduviidae Hemiptera - Sternorrhyncha - Other Hymenoptera - Formicidae Lepidoptera - larvae Mantodea Neuroptera Orthoptera Phasmatodea Thysanoptera Total Functional group Individuals Total biomass [mg] Predator 3732 6191 Predator 205 1379 Predator 20 684 Predator 10 215 Leaf-chewing herbivore 131 783 Predator 20 38 Leaf-chewing herbivore 111 723 Leaf-chewing herbivore 29 739 Predator 9 12 Predator 26 174 Sap-sucking herbivore 94 13 Sap-sucking herbivore 693 2512 Sap-sucking herbivore 100 508 Predator 12 273 Sap-sucking herbivore 25 16 Predator 686 399 Leaf-chewing herbivore 522 6226 Predator 8 5 Predator 9 17 Leaf-chewing herbivore 408 7065 Leaf-chewing herbivore 81 1194 Sap-sucking herbivore 19 1 6950 29167 2 Table S2. Mixed-effects models for the abundance of leaf chewing herbivores, sap-sucking herbivores, predators, and the abundance ratio of predators to herbivores across 27 forest stands in subtropical China. Parameter estimates (with standard errors, degrees of freedom, t and P values) are shown for the variables retained in the minimal models Predator : Herbivore ratio Herbivores: Leaf chewers Herbivores: Suckers Fixed effectsa,b Intercept Time 2-1c Time 3-1c Elevation Plot age Qphyl s.e.s. SE DF t P Est. -0.52 0.04 54 -13.5 <0.001 0.10 0.04 25 2.5 0.018 Est. -0.94 0.39 -0.87 - AICc full modeld AICc min. modeld 83.4 201.8 73.9 97.5 63.6 172.7 43.4 74.7 SE 0.13 0.16 0.16 - DF 52 52 52 - t -7.0 2.5 -5.4 - Predators P <0.001 0.018 <0.001 - Est. 1.05 -0.21 -0.67 0.13 0.11 - SE 0.06 0.07 0.07 0.04 0.04 - DF 52 52 52 24 24 - t 17.8 -3.0 -9.4 3.1 2.6 - P <0.001 0.004 <0.001 0.005 0.015 - Est. 1.05 -0.43 -0.51 0.19 0.12 - SE 0.07 0.09 0.09 0.05 0.05 - DF 52 52 52 24 24 - t 15.0 -4.8 -5.7 3.8 2.5 - P <0.001 <0.001 <0.001 0.001 0.019 - a Sapling height, tree species richness and the interactions richness : Qphyl s.e.s. (standardized effect size of Qphyl), richness : plot age, time : Qphyl s.e.s., and time : richness were included in the full models but not retained in any of the minimal models b Italics denote data for non-significant terms retained in the minimal models c Contrasts between sampling time 1 (fall) and the successive sampling times 2 and 3 (spring and summer); the intercept is the overall mean d Akaike information criterion (corrected for small sample sizes) of the full model (containing all predictors) and the minimal adequate model (simplified model with lowest AICc) 3 Table S3. Mixed-effects models for the biomass and abundance of leaf chewing herbivores and the biomass ratio of predators to herbivores across 27 forest stands in subtropical China. Parameter estimates (with standard errors, degrees of freedom, t and P values) are shown for the variables retained in the minimal models. Woody plant species richness and phylogenetic diversity (Qphyl s.e.s.) in the initial, full models were replaced by a plot-level primary productivity measure to test whether observed plant diversity effects can be explained by plant productivity Leaf chewers: Biomass Fixed effectsa,b Leaf chewers: Abundance Est. SE DF t P Est. Intercept 1.41 0.15 48 9.7 <0.001 -0.53 0.04 50 -13.7 Time 2-1c 0.77 0.19 48 4.0 <0.001 - - - - 3-1c 0.36 0.19 48 1.9 0.064 - - - - - - - - 0.10 23 2.2 0.038 Time Elevation - SE DF t P -0.09 0.04 23 -2.2 - - - Predator : Herbivore biomass ratio - Est. SE DF t P <0.001 -0.40 0.17 48 -2.4 0.020 - -0.52 0.23 48 -2.2 0.031 - -0.08 0.23 48 -0.3 0.736 - - - - - - - - - - 0.034 Plot age 0.21 - AICc full modeld AICc min. modeld 188.8 68.8 207.4 173.3 55.5 192.7 a Sapling height, primary productivity and the interactions productivity : plot age, time : plot age, and time : productivity were included in the full models but not retained in any of the minimal models b-d see Table S2 4 Table S4. Mixed-effects models for the functional dispersion (QBio) of the biomass of leaf chewer, sap-sucker and predator individuals per plot across 27 forest stands in subtropical China. Parameter estimates (with standard errors, degrees of freedom, t and P values) are shown for the variables retained in the minimal models. Woody plant species richness and phylogenetic diversity (Qphyl) in the initial, full models were replaced by a plot-level primary productivity measure to test whether observed plant diversity effects can be explained by plant productivity Herbivores: Leaf chewers Fixed effectsa,b Est. SE DF Herbivores: Sap suckers t P Est. SE DF t Predators P Est. SE DF t P Intercept - - - - - -4.24 0.23 48 -18.5 <0.001 -3.72 0.06 48 -63.1 <0.001 Time 2-1c - - - - - 0.78 0.32 48 2.4 0.020 -0.18 0.08 48 -2.2 0.035 3-1c - - - - - 0.40 0.32 48 1.2 0.218 0.20 0.08 48 2.4 0.021 Time AICc full model 114.7 AICc min. model 91.9 a-d 257.0 52.5 240.8 37.5 see Table S3 5 Table S5. Mixed-effects models for the biomass of leaf-chewing herbivores, sap-sucking herbivores, predators, and the biomass ratio of predators to herbivores across 27 forest stands in subtropical China, based on observed Qphyl instead of standardized effect sizes of Qphyl. Parameter estimates (with standard errors, degrees of freedom, t and P values) are shown for the variables retained in the minimal models Herbivores: leaf chewers Herbivores: suckers Predators Predator—herbivore ratio Fixed effectsa,b Est. SE DF t P Est. SE DF t P Est. SE Interceptc 1.30 0.14 50 9.4 <0.001 -0.64 0.23 52 -2.8 0.007 1.40 0.06 54 Time 2-1c 0.61 0.18 50 3.3 0.002 1.40 0.32 52 4.3 <0.001 - - - - Time 3-1c 0.26 0.18 50 1.4 0.160 -0.51 0.32 52 -1.6 0.122 - - - - Plot age 0.17 0.09 23 1.8 0.079 - - - - - 0.06 25 2.8 Qphyl -0.09 0.14 23 -0.7 0.522 - - - - - - - - - Plot age : Qphyl 0.41 0.09 23 4.6 <0.001 - - - - - - - - Time 2 : Qphyl 0.29 0.18 50 1.6 0.117 - - - - - - - Time 3 : Qphyl 0.46 0.18 50 2.5 0.015 - - - - - - - AICc full modeld 200.1 300.3 153.1 224.5 180.3 266.0 127.5 201.3 AICc min. modeld 0.17 DF P Est. SE DF t P 23.0 <0.001 -0.27 0.16 52 -1.7 0.102 - -0.47 0.21 52 -2.2 0.033 - -0.05 0.21 52 -0.2 0.822 0.05 0.11 23 0.4 0.661 - -0.22 0.11 23 -2.0 0.061 - - -0.38 0.10 23 -3.7 0.001 - - - - - - - - - - - - - - - - t 0.009 a Sapling height, elevation, tree species richness and the interactions richness : Qphyl, richness : plot age, time : plot age, and time : richness were included in the full models but not retained in any of the minimal models b Italics denote data for non-significant terms retained in the minimal models c Contrasts between sampling time 1 (fall) and the successive sampling times 2 and 3 (spring and summer); if time included in the minimal model, the intercept is the overall mean d Akaike information criterion (corrected for small sample sizes) of the full model (containing all predictors) and the minimal adequate model (simplified model with lowest AICc) 6 Table S6. Mixed-effects models for the functional dispersion (QBio) of the biomass of leaf chewer, sap-sucker, and predator individuals per plot across 27 forest stands in subtropical China, based on observed Qphyl instead of standardized effect sizes of Qphyl. Parameter estimates (with standard errors, degrees of freedom, t and P values) are shown for the variables retained in the minimal models Herbivores: Leaf chewers Fixed effectsa,b Est. SE Interceptc -3.61 0.06 54 P Predators -63.0 <0.001 -4.25 0.21 52 -19.8 <0.001 -3.72 0.05 50 P t 67.9 <0.001 Time 2-1c - - - - - 0.73 0.30 52 2.4 0.019 -0.16 0.08 50 -2.1 0.038 3-1c - - - - - 0.43 0.30 52 1.4 0.163 0.19 0.08 50 2.5 0.016 - - - Time DF t Herbivores: Suckers Est. SE DF t P Est. SE DF Plot age 0.06 0.06 23 1.0 0.330 - - - - - - Qphyl 0.14 0.06 23 2.2 0.040 - - - - - 0.06 25 1.0 Plot age : Qphyl 0.13 0.06 23 2.4 0.027 - - - - - - - - - 0.05 0.331 - Time 2 : Qphyl - - - - - - - - - - -0.18 0.08 50 -2.3 0.028 Time 3 : Qphyl - - - - - - - - - - -0.04 0.08 50 -0.5 0.641 AICc full modeld 114.7 289.5 63.5 91.0 254.9 38.1 AICc min. a-d modeld see Table S5 7 Fig. S1. Relationships between plot age, observed woody plant phylogenetic diversity (Qphyl) and the biomass of a) leaf chewers, and b) the ratio of predators to herbivores across 27 forest plots in subtropical China. Note the inverted orientation of the x-axis (plot age) in b) for better visual representation. All relationships are significant at P < 0.05 (see Table 1 for details). All relationships significant at P < 0.05 (see Table S2 for details). 8