1. Title: Root Morphology and Architecture Respond to N Addition in Pinus tabuliformis, West China 2. Authors and addresses Guoliang Wang1,2, Timothy J. Fahey3, Sha Xue1,2 , Fang liu1 1. Institute of Soil and Water Conservation, Northwest A&F University, Yangling, Shaanxi Province 712100, P.R. China 2. State Key Laboratory of Soil Erosion and Dryland on Loess Plateau, Institute of Soil and Water Conservation of CAS and MWR, Yangling, Shaanxi Province 712100, P.R. China 3. Department of Natural Resources, Cornell University, Ithaca, NY 14853, USA 3. Short title: Root Morphology and Architecture Respond to N Addition Resource 1 Frequency percentage of root numbers in diameter intervals for each order of Pinus tabuliformis growing in control plots on the Loess Plateau, western China. Resource 2 Percentage of root number for first to fifth root order of Pinus tabuliformis included in the five diameter intervals in control plots on the Loess Plateau, China. Resource 3 Percentage of root biomass for first to fifth root order of Pinus tabuliformis included in the five diameter intervals in control plots on the Loess Plateau, China. Resource 4 Diameter divisions (mm) of 75% confidence intervals of root number for first to fifth order roots of Pinus tabuliformis under different N fertilization treatments on the Loess Plateau, western China Resource 5 Critical value of root number between adjacent diameter classes (mm) under different N fertilization treatments for Pinus tabuliformis on the Loess Plateau, western China 45 0-0.1 0.1-0.2 0.2-0.3 0.3-0.4 0.4-0.5 0.5-0.6 0.6-0.7 0.7-0.8 0.8-0.9 0.9-1.0 1.0-1.1 1.1-1.2 1.2-1.3 1.3-1.4 1.4-1.5 1.5-1.6 1.6-1.7 1.7-1.8 1.8-1.9 1.9-2.0 2.0-2.1 2.1-2.2 2.2-2.3 2.3-2.4 30 0 60 45 30 0 60 45 30 0 60 0-0.1 0.1-0.2 0.2-0.3 0.3-0.4 0.4-0.5 0.5-0.6 0.6-0.7 0.7-0.8 0.8-0.9 0.9-1.0 1.0-1.1 1.1-1.2 1.2-1.3 1.3-1.4 1.4-1.5 1.5-1.6 1.6-1.7 1.7-1.8 1.8-1.9 1.9-2.0 2.0-2.1 2.1-2.2 2.2-2.3 2.3-2.4 45 0-0.1 0.1-0.2 0.2-0.3 0.3-0.4 0.4-0.5 0.5-0.6 0.6-0.7 0.7-0.8 0.8-0.9 0.9-1.0 1.0-1.1 1.1-1.2 1.2-1.3 1.3-1.4 1.4-1.5 1.5-1.6 1.6-1.7 1.7-1.8 1.8-1.9 1.9-2.0 2.0-2.1 2.1-2.2 2.2-2.3 2.3-2.4 0 60 0-0.1 0.1-0.2 0.2-0.3 0.3-0.4 0.4-0.5 0.5-0.6 0.6-0.7 0.7-0.8 0.8-0.9 0.9-1.0 1.0-1.1 1.1-1.2 1.2-1.3 1.3-1.4 1.4-1.5 1.5-1.6 1.6-1.7 1.7-1.8 1.8-1.9 1.9-2.0 2.0-2.1 2.1-2.2 2.2-2.3 2.3-2.4 45 0-0.1 0.1-0.2 0.2-0.3 0.3-0.4 0.4-0.5 0.5-0.6 0.6-0.7 0.7-0.8 0.8-0.9 0.9-1.0 1.0-1.1 1.1-1.2 1.2-1.3 1.3-1.4 1.4-1.5 1.5-1.6 1.6-1.7 1.7-1.8 1.8-1.9 1.9-2.0 2.0-2.1 2.1-2.2 2.2-2.3 2.3-2.4 The frequency percentage of root numbers(%) Resource 1 Frequency percentage of root numbers in diameter intervals for each order of Pinus tabuliformis growing in control plots on the Loess Plateau, western China. 60 1st order root 30 15 2nd order root 15 Diamter intervals (mm) 3rd order root 15 Diameter intervals (mm) 4th order root 15 Diameter intervals (mm) 30 Diameter intervals (mm) 5th order root 15 0 Diameter intervals (mm) Resource 2 Percentage of root number for first to fifth root order of Pinus tabuliformis included in the five diameter intervals in control plots on the Loess Plateau, China. Percentage of root number (%) 100 80 1st order 60 2nd order 40 3rd order 20 4th order 5th order 0 <0.25 0.25-0.37 0.37-0.62 0.62-1.07 Diameter intervals (mm) >1.07 Resource 3 Percentage of root biomass for first to fifth root order of Pinus tabuliformis included in the five diameter intervals in control plots on the Loess Plateau, China. Percentage of root biomass(%) 100 80 1st order 60 2nd order 3rd order 40 4th order 20 5th order 0 <0.25 0.25-0.37 0.37-0.62 0.62-1.07 Diameter intervals (mm) >1.07 Resource 4 Diameter divisions (mm) of 75% confidence intervals of root number for first to fifth order roots of Pinus tabuliformis under different N fertilization treatments on the Loess Plateau, western China Root orders 0 (Control) 1st order 2nd order 3rd order 4th order 5th order [0.13, 0.26] [0.23, 0.36] [0.37, 0.50] [0.71, 1.05] [1.08, 1.44] -2 -1 [0.13, 0.26] [0.23, 0.37] [0.37, 0.48] [0.62, 1.01] [1.07, 1.45] -2 -1 [0.14, 0.27] [0.24, 0.37] [0.39, 0.49] [0.65, 0.99] [1.05, 1.43] -2 -1 3 g N.m .yr 6 g N.m .yr 9 g N.m .yr [0.14, 0.27] [0.26, 0.38] [0.39, 0.59] [0.65, 1.15] [1.25, 1.42] -2 -1 [0.14, 0.29] [0.27, 0.38] [0.40, 0.60] [0.66, 1.16] [1.26, 1.43] -2 -1 [0.14, 0.26] [0.26, 0.40] [0.41, 0.54] [0.62, 1.15] [1.21, 1.41] 12 g N.m .yr 15 g N.m .yr Note:These 75% confidence intervals of root number for each order were calculated using the normal distribution based on the large sample size of root number for each root order. In cases where the distribution does not fit the normal distribution, Student’s t distribution could be used to calculate the 75% confidence intervals. Resource 5 Critical value of root number between adjacent diameter classes (mm) under different N fertilization treatments for Pinus tabuliformis on the Loess Plateau, western China Treatments 0 (Control) Minimum diameter 1st&2nd 2nd&3rd 3rd&4th 4th&5th Maximum diameter 0.09 0.25 0.37 0.62 1.07 2.38 -2 -1 0.09 0.25 0.37 0.55 1.04 2.41 -2 -1 0.10 0.26 0.38 0.57 1.02 2.61 -2 -1 3 g N.m .yr 6 g N.m .yr 9 g N.m .yr 0.10 0.27 0.39 0.62 1.20 2.39 -2 -1 0.10 0.28 0.40 0.63 1.21 2.58 -2 -1 0.10 0.28 0.41 0.58 1.18 2.64 0.10 0.27 0.39 0.60 1.12 2.50 12 g N.m .yr 15 g N.m .yr Mean Note: The “critical values” of root number for each root order were calculated as follows: Firstly, the upper critical value of the 75% confidence interval for the lower root order and the lower critical value of the 75% confidence interval for the higher root order were calculated (see Resource 4); and then the mean of these two values was calculated to represent the critical value for the two diameter classes. For example, the critical value of first and second order roots in control plots were the mean of the upper critical value of the 75% confidence interval for the first root order (0.26 mm) and the lower critical value of the 75% confidence interval for the second root order (0.23 mm) were calculated as 0.25 mm (rounded).