Online Resource 2: results of background data analyses ARTICLE TITLE: Effects of urbanization on herbaceous forest vegetation: the relative impacts of soil, geography, biotic interactions, human access, and an invasive shrub JOURNAL: Urban Ecosystems AUTHORS: Guy N. Cameron1, Theresa M. Culley1, Sarah E. Kolbe2, Arnold I. Miller2, and Stephen F. Matter1 AFFILIATION: 1Department of Biological Sciences and 2Department of Geology University of Cincinnati, Cincinnati Ohio 45221 Corresponding Author: G. Cameron (g.cameron@uc.edu) Literature and figures cited below are in the published manuscript Online Resource 2a: Assessing the relative importance of a site effect and a year effect While preliminary analyses indicated that study site significantly affected herb diversity, richness, and abundance, Christopher et al. (2014) demonstrated that herb diversity, richness, and abundance in these deciduous forests in southwestern Ohio varied significantly among years. Because MWW, MAF, and TRA were sampled 1-3 years later than BEN, EF, and EOA, we used a General Linear Model (GLM) to determine the relative impact of study site and year of sampling on these herb metrics. Based on when we sampled herbs in each study site, we coded BEN, EF, and EOA as Year 1 (sampled in 2008), MWW and MAF as Year 2 (sampled in 2009), and TRA as Year 3 (sampled in 2011) for the GLM analyses. For the count variables (e.g., richness and abundance) we specified a quasipoisson distribution because the data were overdispersed. We analyzed the effect of study site and year of sampling separately for herb diversity, richness, and abundance. We computed the amount of the deviance in these herb metrics that was accounted for by study site and the amount that was due to year of sampling by subtracting the residual deviance from the null deviance. We determined the relative importance of study site and year of sampling by comparing the amount of deviance in herb diversity, richness, and abundance that each factor explained. We also analyzed data on temperature and rainfall for the months/ years of our study (May-September 2008-2011; data from Cincinnati/Northern Kentucky International Airport) to determine whether differences among years would affect our censuses. Compared to year of sampling, study site explained 2-16 times the amount of deviance in species diversity (deviance explained by study site= 2.06, deviance explained by year of sampling = 1.18), richness (deviance explained by study site = 58.81, deviance explained by year of sampling = 28.39), and abundance (deviance explained by study site = 2308.8, deviance explained by year of sampling = 141.1). There was little variation among years in temperature (20.8-23.0oC), but total MaySeptember rainfall was higher in 2009 (116.9 mm) and 2011 (147.1 mm) than in 2008 (80.3 mm) or 2010 (85.0 mm). Higher rainfall during some years did not always result in higher herb abundance (Fig. 2). TRA, the only site sampled in 2011, had very low abundance, but rainfall was high. The sites sampled in 2008 (MWW and MAF) had low and high abundance, respectively, but rainfall was low. From these analyses we concluded that a year effect would be minor compared to a site effect. Online Resource 2b: Variation in community metrics and environmental variables among study sites Results of Analysis of Variance to determine whether environmental and biotic variables varied significantly among the 6 study sites and among Urban, Exurban, and Wildland sites along the urbanization gradient. All variables were tested for significant variation among study sites, whereas only variables identified in Generalized Linear Mixed Model (GLMM) and General Linear Model (GLM) analyses as significantly affecting herb species diversity, richness, or abundance were tested among Urban, Exurban, and Wildland sites. Variation among Variation among Urban, 6 study sites Exurban, Wildland sites Variable F2,85 P Variable F2,85 P Herb species diversity 10.4 <0.01 Herb species diversity 1.02 0.368 Herb richness 5.98 <0.01 Herb richness 10.52 <0.01 Herb abundance 5.85 <0.01 Herb abundance 5.47 <0.01 pH 4.48 <0.01 pH 7.06 <0.01 Percent C 8.93 <0.01 Percent C 5.14 <0.01 Percent N 5.12 <0.01 Slope 3.82 0.026 Soil bulk density 1.21 0.312 Aspect 7.62 <0.01 Slope 25.05 <0.01 Elevation 0.52 0.599 Aspect 3.63 <0.01 Tree diversity 3.94 0.023 Elevation 60.18 <0.01 Tree richness 5.98 <0.01 Tree diversity 2.71 0.026 Tree abundance 3.76 0.027 Tree richness 4.19 <0.01 Distance to nearest road 11.31 <0.01 Tree evenness 1.80 0.12 Distance to nearest major 109.9 <0.01 12.85 <0.01 road Tree abundance 3.65 <0.01 Mean diameter of primary stem Distance to nearest road 16.66 <0.01 Distance to nearest 189.30 <0.01 4.85 <0.01 8.76 <0.01 major road Honeysuckle abundance Mean diameter of primary stem Results of multiple comparison of means: After determining which community metric and environmental variable varied significantly among our 6 study sites, we used multiple comparisons of means (Tukey Honestly Significant Differences) for each variable to determine which study sites were significantly different from each other. Herb diversity did not vary significantly along the urbanization gradient, but diversity was highest at TRA and lowest at EOA (Fig. 2). Herb richness was highest at TRA and EOA with MWW intermediate, and herb abundance was highest at MWW, EOA, and TRA with MAF intermediate (Fig. 2). Among the environmental variables (Fig. 3), pH was lowest at EF and MWW, percent C was highest at MAF and EOA, and percent N was highest at MAF, MWW, and EOA with TRA intermediate. Aspect at EOA and TRA was to the southwest, while aspect for the other sites was to the southeast, elevation was lowest at MWW and EOA and highest at TRA, and slope was greatest at MAF, MWW, and TRA. Tree diversity was highest at EF, MWW, EOA, and TRA, tree richness was highest at TRA, EF, and MWW, and tree abundance was highest at TRA. Distance to the nearest road was highest at MWW and EOA, and distance to the nearest major road was highest at EF and TRA, with MWW at an intermediate level. Honeysuckle abundance was highest at MAF and MWW and diameter of primary stem of honeysuckle was highest at MAF and EF. Online Resource 2c: Environmental variables selected by GLMM as important in determining herb diversity Effect of environmental and biotic variables on species diversity of forest-floor herbs. Edaphic, Geographic, Forest Composition, Human Effects, and Honeysuckle thematic models containing the variables listed below were constructed to test their effect on species diversity. Each model was analyzed with a Generalized Linear Mixed Model (GLMM) that included the variables listed below as fixed effects, and site as a random effect. To determine the significance of each factor included in a model, comparisons were used to test the full model that included all fixed effects against a model with an individual fixed effect removed. Tests between full and reduced models were made using maximum likelihood tests (Crawley 2013). For each individual variable, a Chisquared value was computed as the deviance difference between the full model (all variables included) and a model with one variable removed. 2 df P Soil density 1.432 1 0.23 pH 12.81 1 <0.01* Percent N 0.06 1 0.81 Percent C 2.65 1 0.10 Aspect 3.04 2 0.18 Elevation 10.07 1 <0.01* Slope 3.21 1 0.07 Tree Abundance 4.12 1 0.04* Tree Evenness 1.01 1 0.32 Tree Richness 0.19 1 0.66 Thematic Model Variable removed Edaphic Geographic Forest Composition Human Effects Honeysuckle Tree Diversity 0.18 1 0.67 Distance to Nearest Major Road 0.03 1 0.87 Distance to Nearest Road 9.41 1 <0.01* Mean Diameter of Primary Stem 0.01 1 0.94 Honeysuckle Abundance 1.49 1 0.22 Online Resource 2d: Environmental variables selected by GLMM as important in determining herb richness Effect of environmental and biotic variables on species richness of forest-floor herbs. Edaphic, Geographic, Forest Composition, Human Effects, and Honeysuckle models containing the variables listed below were constructed to test their effect on species richness. Each model was analyzed with a Generalized Linear Mixed Model (GLMM) that included the variables listed below as fixed effects, and site as a random effect. To determine the significance of each variable included in a model, comparisons were used to test the full model that included all variables against a model with an individual variable removed. Tests between full and reduced models were made using maximum likelihood tests (Crawley 2013). For each individual variable, a Chi-squared value was computed as the deviance difference between the full model (all variables included) and a model with one variable removed. 2 df P Soil density 2.13 1 0.88 pH 14.98 1 <0.01* Percent N 0.84 1 0.36 Percent C 3.36 1 0.07 Aspect 12.23 2 <0.01* Elevation 0.14 1 0.70 Slope 0.04 1 0.84 Tree Abundance 2.12 1 0.15 Tree Evenness <0.01 1 0.99 Thematic Model Variable removed Edaphic Geographic Forest Composition Human Effects Honeysuckle Tree Richness <0.01. 1 0.95 Tree Diversity 0.18 1 0.98 Distance to Nearest Major Road 6.82 1 <0.01* Distance to Nearest Road 11.89 1 <0.01* Mean Diameter of Primary Stem 0.21 1 0.65 Honeysuckle Abundance 0.01 1 0.93 Online Resource 2e: Environmental variables selected by GLMM as important in determining herb abundance Effect of environmental and biotic factors on abundance of forest-floor herbs. Edaphic, Geographic, Forest Composition, Human Effects, and Honeysuckle models containing the variables listed below were constructed to test their effect on abundance of forest-floor herbs. Each model was analyzed with a Generalized Linear Mixed Model (GLMM) that included the variables listed below as fixed effects, and site as a random effect. To determine the significance of each variable included in a model, comparisons were made between the full model that included all fixed effects and a model with an individual variable removed. Tests between full and reduced models were made using maximum likelihood tests (Crawley 2013). For each individual variable, a Chi-squared value was computed as the deviance difference between the full model (all variables included) and a model with one variable removed. 2 df P Soil density 2.55 1 0.11 pH 89.09 1 <0.01* Percent N 16.79 1 <0.01* Percent C 24.75 1 <0.01* Aspect 199.57 2 <0.01* 2.39 1 0.12 Slope 119.97 1 <0.01* Tree Abundance 11.41 1 <0.01* Tree Evenness 16.94 1 <0.01* Tree Richness 149.81 1 <0.01* Thematic Model Variable removed Edaphic Geographic Elevation Forest Composition Human Effects Honeysuckle Tree Diversity 73.47 1 <0.01* Distance to Nearest Major Road 130.44 1 <0.01* Distance to Nearest Road 59.84 1 <0.01* Mean Diameter of Primary Stem 171.05 1 <0.01* 1.20 1 0.27 Honeysuckle Abundance Online Resource 2f: Variation of community metrics and environmental factors among Urban, Exurban, and Wildland sites Results of multiple comparison of means. After determining which community metric and environmental variable varied significantly among Urban, Exurban and Wildland sites (see Online Resource 2b), we used multiple comparisons of means (Tukey Honestly Significant Differences) for each variable to determine significant differences among Urban, Exurban, and Wildland sites. Herb species richness and abundance were significantly higher in Wildland sites than in Urban or Exurban sites which did not differ significantly from each other (Fig. 2). pH and organic C were lowest in Exurban sites, slope was lowest in Wildland sites, and Wildland sites faced southeast while Urban and Exurban sites faced southwest (Fig. 4). Tree diversity and richness were highest in Exurban and Wildland sites and tree abundance was highest in Wildland sites. Urban sites were closest to nearest roads and Exurban sites were farther from major roads, with Wildland sites at intermediate distances. Diameter of primary stems of honeysuckle was larger in Urban and Exurban sites than in Wildland sites.