Electronic supplementary material Deviation from niche optima affects the nature of plant–plant interactions along a soil acidity gradient Lei He Lulu Cheng Liangliang Hu Jianjun Tang* Xin Chen* College of Life Sciences, Zhejiang University, Hangzhou 310058, China *Corresponding author, chandt@zju.edu.cn or chen-tang@zju.edu.cn ESM 1-Plants and soil Three legume species (Lespedeza formosa Koehne, Medicago sativa L., and Indigofera pseudotinctoria Mats.) commonly grow together in the “red soil area” of southern China. Lespedeza formosa is a perennial, deciduous shrub that grows to a height of 1–2 m and produces many branches [1]. It is a pioneer species and is drought- and acid-tolerant [2]. It grows well in red soil areas with wide range of soil acidity (pH 4–6). Indigofera pseudotinctoria is also a perennial, deciduous shrub that grows well in soil with pH 4–5. It flowers from June to September and produces fruit from November to December. It grows well in degraded soil and helps prevent soil erosion [3,4]. Medicago sativa is a perennial herb that is grown for forage [5]. It is an acid-sensitive species and cannot grow well in an acidic soils [6,7]. Seeds of the three legume species were supplied by the Zhejiang Forestry Academy. The thousand-kernel weights (mean ± SE) of L. formosa, I. pseudotinctoria, and M. sativa were 7.49 ± 0.31 g, 2.34 ± 0.10 g, and 6.01 ± 0.22 g, respectively. The soil had a pH (1:2.5 soil: KCl) of 4.1, an organic matter content of 0.70%, a total nitrogen (N) content of 0.44 g kg-1, and a NaHCO3-available P content of 3.70 mg kg-1. ESM2-Preparation of soil acidity gradients The acid red soil from an abandoned tea garden was air-dried and used as the base soil for creating an acidity gradient (pH=3.1, 4.1, 5.5, and 6.1). A soil pH of 3.1 was obtained by adding 40 ml of H2SO4 (pH 2) to 5 L of water, which was added per mesocosm. A soil pH of 4.1, 5.5, or 6.1 was obtained by adding 0, 100, or 200 g of CaCO3, respectively, to 5 L of water, which was added per microcosm [8]. The prepared soils were incubated at 25℃ and at approximately 50% soil moisture content for 1 month before the experiment. ESM3-Measurement At the end of the plant–plant interaction experiment (which started in April and ended in October), all target plants were harvested from the mesocosms. Shoots were separated from roots, oven dried at 65 °C for 72, and weighed. The phosphorus (P) concentration in leaves (0.2 g per sample) was determined with a San++ Continuous Flow Analyzer (Skalar, Netherlands). Root systems were collected and cleaned for determination of colonization by arbuscular mycorrhizal fungi (AMF) by the gridline intersection method [9]. Soil was sampled before harvest. We sampled the top layer (0-10 cm) in the target plant’s rhizosphere from each mesocosm. The soil samples were separately air-dried and passed through a screen (<2.0 mm) for further analysis. For exchangeable aluminium (Al) analysis, soil samples were extracted with a KCl solution (2 g of soil in 20 ml of 1 M KCl), and the extracts were analysed by ICP-OES (Optima 8000DV, Perkin Elmer, USA) [10]. Organic matter content was determined by hydrated heat potassium dichromate oxidation-colorimetry [11]. AMF spores in soil were extracted by wet sieving and sucrose density gradient centrifugation, transferred to Petri dishes, and counted with a dissecting microscope [12]. ESM4-Data analysis The soil pH that resulted in the greatest biomass of a target species in the absence of a neighbour was assumed to be the optimum. For each species, we fit the relationship of ln (target biomass (without neighbour) +10) and soil pH with a binomial equation in R version 3.1.3. Soil pH at the peak of the polynomial curve was then calculated as the optimal soil pH. To generate confidence intervals, we conducted bootstrapping for 1000 iterations in R version 3.1.3. For each bootstrap iteration, we randomly chose five samples under every pH (with replacement) to fit the relationship with a binomial equation and calculated the optimal soil pH. The lowest and highest 2.5% values were then chosen to represent the lower and higher 95% confidence limits. The effect of soil pH on RII and the effects of soil pH and neighbour on the biomass of target plants, P concentration in target leaves, and soil exchangeable Al were assessed with the General Linear Model. pH and neighbour were treated as fixed factors. Homogeneity of variances was checked using Levene's Test before all statistical analyses. One-way ANOVAs were performed to test for the effects of neighbour on the number of AMF spores, AMF colonization rate, soil exchangeable Al, and soil organic matter content. Significance was determined at the 0.05 level. SPSS 16.0 was used for the analyses. ESM 5-acid-tolerance of neighbour plant L. formosa Before the plant-plant experiment, we conducted a one-factor experiment to text how the pH-levels of the soil affected the growth of L. formosa. The mesocosms and soil pH levels (3.1, 4.1, 5.5, 6.1) were the same as the experiment of plant-plant interaction. The experiment was set up in a common garden located at the University of Zhejiang in Hangzhou, China. The mesocosms were arranged in a fully randomized manner with five replicate mesocosms, giving a total of 20 mesocosms. Seeds were sown in soil in a plant nursery. After 1 month, one seedling was transplanted into each mesocosm. After 3 months, all plants were harvested from the mesocosms, oven dried at 65 °C for 72 h, and weighed. One-way ANOVA was performed to test for the effects of pH on biomass of L. formosa. Homogeneity of variances was checked using Levene's Test before all statistical analyses. Significance was determined at the 0.05 level. SPSS 16.0 was used for the analyses. Biomass of L. formosa significantly reduced at the treatment of pH 3.1, while there was no significant difference of biomass among the treatments of pH 4.1, 5.5 and 6.1 (Fig. S2). ESM 6- The P concentration in the leaves of target plants The P concentration in the leaves of I. pseudotinctoria was significantly affected by pH (F2, 24=14.709, P<0.0001), neighbour (F1, 24=12.203, P=0.002), and the interaction of pH and neighbour (F2, 24=5.71, P=0.009). The P concentration in the leaves of M. sativa was significantly affected by pH (F2, 24=9.403, P=0.001) and the interaction of pH and neighbour (F2, 24=10.57, P=0.001). The P concentration in leaves of I. pseudotinctoria without the neighbour decreased as pH increased from 4.1 to 6.1 (Fig. S3). The P concentration in M. sativa leaves was highest at pH 5.5 without the neighbour and at pH 4.1 with the neighbour (Fig. S3). The P concentration in I. pseudotinctoria leaves was affected by the neighbour treatment (0.93±0.13 mg/g without neighbour vs. 0.56±0.05 mg/g with neighbour) at pH 4.1 (Fig. S3). At pH 5.5, the P concentration in M. sativa leaves was higher without than with neighbour (0.94±0.09 mg/g without neighbour vs. 0.53±0.07 mg/g with neighbour) (Fig. S3). ESM 7-Biomass of target plants The biomass of the target plant I. pseudotinctoria was significantly affected by the pH (F2, 24=4.4, P=0.024) and the interaction of pH and neighbour (F2, 24=21.931, P<0.0001). The biomass of the target plant M. sativa was significantly affected by the pH (F2, 24=214.609, P<0.0001), neighbour (F1, 24=6.058, P=0.021), and the interaction of pH and neighbour (F2, 24=37.149, P<0.0001). Biomass of I. pseudotinctoria without the neighbour decreased as pH increased from 4.1 to 6.1, but the biomass with the neighbour was largest at pH 5.5 (Fig. S3). Biomass of M. sativa was highest at pH 5.5 both with and without the neighbour (Fig. S3). At pH 3.1, all plants grew slowly and then died after 3 months whether the neighbour was present or absent. The neighbour treatment significantly affected the biomass of M. sativa only at pH 4.1 and 5.5 (Fig. S3). At pH 4.1, M. sativa biomass was higher with than without the neighbour. The biomass of I. pseudotinctoria was significantly lower without than with the neighbour at pH 6.1 (Fig. S4). Fig. S1. Diagram of the experiment concerning plant-plant interactions as affected by a soil acidity gradient (the figure represents one soil acidity level). (a) represents the “with neighbour” treatment; (b) represents the “without neighbour” treatment. Fig.S2 The biomass of the neighbour plant L. formosa along the soil pH levels. Means with different lowercase letters are significantly different (P< 0.05). Fig. S3. Phosphorus concentration in leaves of target plants with and without the neighbour along a soil acidity gradient. All plants had died after 3 months at pH 3.1. Values are means ± SE (n=5). For each species of target plant, means with different lowercase letters are significantly different (P< 0.05). Fig. S4. Biomass of target plants with and without the neighbour along a soil acidity gradient. All plants had died after 3 months at pH 3.1. Values are means ± SE (n=5). For each target plant, means with different lowercase letters are significantly different (P < 0.05). References 1. Xu LM, Bai ME, Tang JJ, Ding WH, Hong LX, Chen X.2008 Comparing adaptability of Kummerowia striata and Lespedeza formosato poor soils. J. Zhejiang For. Sci. Technol.28, 12–15. 2. Zhao Y, Chen XY, Pian RQ, Wang XR. 2006 Research Advances of Lespedeza Michx. J. Northwest For. Univ.21, 71–7. 3. Yu JH, Hong LX, Bai ME, Qian H, Zhu TJ. 2008 Effect of different treatments on seed germination of Indigofera pseudotinctoria.J. Zhejiang For. Sci. Technol.28, 57–60. 4. Zhang H. 2011 Construction of artifical plant communities and the impact on substrate properties of the bare mining slopes. Dissertation, University of AnHui. 5. Yang HS, Zhang QG, Liu J, Tai JC, Miao ST. 2007 Distribution of root and rhizosphere microorganismin alfalfa with different ages. Acta Pratacultural Sci.24,38–41. 6. Li JF, Shi SL, Zhang SQ. 2010 Effects of the pH value of an acid environment on early growth and physiology of Medicago sativa W525. Acta Pratacultural Sci.19, 47–54. 7. Li JF, Shi SL, Zhang SQ, AnW, Fan SH. 2009 Physiological tolerance limit of Medicago Sativa under acid stress. J. Shihezi Univ. (Natural Science)27, 217–220. 8. Habte M, Soedarjo M. 1996 Response of Acacia mangium to vesicular-arbuscular mycorrhizal inoculation, soil pH, and soil P concentration in an oxiso. Can. J. Bot.74, 155–161. 9. Giovannetti M, Mosse B. 1980 An evaluation of techniques for measuring vesicular-arbuscular mycorrhizal infection in roots.New Phytol.84, 489– 500. 10. Shao ZC, He Q, Wang WJ. 1998 Forms of aluminum in red soils. Acta Pedologica Sin35, 38–48. 11. Qian B, Liu L, Xiao X. 2011 Comparative tests on different methods for content ofsoil organic matter. J. Hohai Univ.39, 34–38. 12. Oehl F, Sieverding E, Ineichen K, Mäder P, Boller T, Wiemken A. 2003 Impact of land use intensity on the species diversity of arbuscularmycorrhizal fungi in agroecosystems of Central Europe. Appl. Environ. Microb.69,2816– 2824.