1 2 3 R.Q. Thomas, S. Zaehle, P.H. Templer, and C.L. Goodale. Global patterns of nitrogen limitation: confronting two global biogeochemical models with observations. 4 Supplemental Information 5 6 7 SI.1. CLM-CN model The CLM-CN 4.0 model (Thornton et al. 2007, Thornton et al. 2009, Lawrence et al. 8 2011) is the land surface model within the Community Earth System Model (release 1.0; Gent et 9 al. 2011). The model uses fully prognostic terrestrial C and N cycles calculated on a 30-minute 10 time step. N and C are cycled through the following pools: 1) three litter pools, based on the 11 chemical composition of the inputs (e.g., labile, cellulose, lignin pools), with stoichiometry that 12 varies with the stoichiometry of litter inputs and different decomposition rates, 2) one coarse 13 woody debris pool with constant stoichiometry, 3) four soil organic matter pools with differing 14 decomposition rates and with C:N ratios that vary by pool but are constant over time, and 4) six 15 vegetation pools (leaves, live stem, dead stem, live coarse roots, dead coarse roots, and fine 16 roots) with time-invariant C:N ratios that differ by pool and among plant functional types. All 17 plant functional types within a grid cell share the same soil environment. Plant uptake of N 18 depends directly on the demand set by gross primary productivity (GPP) in the limits of the soil 19 mineral N available to plants. Microbial uptake of N is a function of decomposition rate, C use 20 efficiency, and the difference between the C:N ratio of the donor and receiving pool, based on 21 the Biome-BGC model (Thornton et al. 2002, Thornton and Rosenbloom 2005). When the 22 demand for N by both the microbes and vegetation exceeds the available inorganic N pool, both 23 GPP and decomposition rates are reduced in proportion to their N demand relative to total N 24 demand so that total N demand matches available N. All C and N uptake and competition occurs 1 25 at the 30-minute time step. Allocation of C and N among plant tissues is based on fixed 26 allocation ratios, with one exception: the ratio of stem allocation to leaf allocation increases with 27 NPP. Leaf area is determined through the balance between C allocation and turnover through 28 litterfall or fire. N inputs into the CLM-CN include N deposition and N fixation. N fixation is 29 calculated as a saturating relationship with annual NPP, based on Cleveland et al. (1999) and 30 varies over time and space. N outputs include hydrologic N leaching, N gas production 31 calculated as a fixed proportion of net mineralization, N gas production when N availability 32 exceeds plant and microbial demand, N volatilization by fire, and N removal during harvesting. 33 In this study we use the most recently publicly released version (v. 4.0; Lawrence et al. 2011) 34 that corresponds to the version used in published studies that report on C-N interactions 35 (Thornton et al. 2009, Bonan and Levis 2010) and CMIP 5 climate model intercomparison 36 (Taylor et al. 2012). 37 38 39 SI.2 O-CN model The O-CN model (Zaehle and Friend 2010, Zaehle et al. 2010, Zaehle et al. 2011) has 40 been derived from the ORCHIDEE model (Krinner et al. 2005) and like CLM-CN has fully 41 prognostic C and N cycles calculated on a 30-minute time step. In the O-CN model, C and N 42 cycle through the following pools: 1) four litter pools (above- and below-ground metabolic and 43 structural), 2) two coarse woody debris pools, 3) four soil pools (surface, active, slow, and 44 passive), all with different turnover times, and 4) nine vegetation pools. The C-N ratio in the 45 vegetation depends on the balance of labile C to labile N, and all of the C:N ratios in the 46 vegetation pools, except the labile and reserve pools, vary in proportion to variations in foliar 47 C:N ratios. Foliar C:N ratios determine how GPP is influenced by N availability (i.e., increasing 2 48 GPP with increasing foliar N). The allocation of C and N to plant tissues varies in the O-CN as a 49 function of the labile C and N ratios, with the allocation to fine roots increasing with N stress. 50 The allocation to leaves depends on the pipe-model theory (Shinozaki et al. 1964, Zaehle et al. 51 2006), resulting in a theoretical maximum leaf area index (LAI) based on the light environment. 52 N uptake by vegetation is a function of the availability of inorganic N, root C, plant N demand, 53 and the abiotic environment. As labile N builds up relative to labile C, root uptake of N is 54 reduced. Unlike the CLM-CN, each plant functional type within a grid cell has a unique soil 55 environment in the O-CN. The soil organic dynamics are based on the Century approach (Parton 56 et al. 1993). The microbial N uptake depends on the decomposition rate, C:N ratio of the donor 57 and receiving pools, and inorganic N availability. Soil organic matter has a flexible 58 stoichiometry that depends on inorganic N concentrations in the soil, whereas litter stoichiometry 59 is dependent on the C:N ratio of the source material. When plant and microbial demand for N 60 exceeds inorganic N availability, N is first allocated to microbes, and plants receive the 61 remaining N in excess of microbial demand. N inputs into the O-CN include N deposition and N 62 fixation, with the latter a prescribed input that varies over space but not time and is based on the 63 relationship between evapotranspiration and N fixation (Cleveland et al. 1999). N export 64 includes N leaching, gaseous emissions, and harvesting. Gaseous emissions are based on the 65 LPJ-DyN simplification of the DNDC model (Xu-Ri and Prentice 2008) and depend on the 66 availability of nitrate, soil organic C, and soil water (Zaehle et al. 2011). 67 68 S.3 N fertilization response in grassland ecosystems 69 We used empirical observations of aboveground net primary production responses to N 70 additions in grasslands. The N addition rates ranged from 2.5 - 57.2 g N m-2 yr-1 over 1-6 years 3 71 in 39 the grassland studies obtained from the meta-analysis by LeBauer and Treseder (2008). 72 We used the same model-data comparison methods as described in section 2.2.1 of the main text. 73 The observed rates of ANPP increased on average by 60 ± 13% in the 39 grassland 74 studies (Supplemental Information Fig 1). The CLM-CN simulated a larger but not statistically 75 different response in ANPP response to N fertilization experiments in grasslands (94 ± 16%, p = 76 0.14). In contrast to the CLM-CN, the O-CN model simulated a significantly lower ANPP 77 response to N fertilization than observed in grassland (20 ± 10%; p = 0.02). 78 79 S3. References 80 Bonan GB, and Levis S (2010) Quantifying carbon-nitrogen feedbacks in the Community Land 81 82 83 84 85 86 Model (CLM4). Geophysical Research Letters 37:L07401. Cleveland C, Townsend A, Schimel DS et al (1999) Global patterns of terrestrial biological nitrogen (N2) fixation in natural ecosystems. Global Biogeochemical Cycles 13:623–645. Gent PR, Danabasoglu G, Donner LJ et al. (2011) The Community Climate System Model Version 4. Journal of Climate 24:4973–4991. Krinner G, Viovy N, de Noblet-Ducoudre N et al. (2005) A dynamic global vegetation model for 87 studies of the coupled atmosphere-biosphere system. Global Biogeochemical Cycles 88 19:GB1015. 89 Lawrence DM, Oleson K, Flanner MG et al. (2011) Parameterization improvements and 90 functional and structural advances in Version 4 of the Community Land Model. Journal of 91 Advances in Modeling Earth Systems 3:M03001. 92 93 LeBauer DS and Treseder KK (2008) Nitrogen limitation of net primary productivity in terrestrial ecosystems is globally distributed. Ecology 89:371–379. 4 94 Parton W, Scurlock J, Ojima D et al. (1993) Observations and modeling of biomass and soil 95 organic matter dynamics for the grassland biome worldwide. Global Biogeochemical Cycles 96 7:785–809. 97 98 Taylor KE, Stouffer RJ, and Meehl GA (2012) An Overview of CMIP5 and the Experiment Design. Bulletin of the American Meteorological Society 93: 485–498. 99 Thornton PE and Rosenbloom NA (2005) Ecosystem model spin-up: Estimating steady state 100 conditions in a coupled terrestrial carbon and nitrogen cycle model. 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Canadian Journal of Forest Research 33:862–869. 148 Finzi AC (2009) Decades of atmospheric deposition have not resulted in widespread phosphorus 149 limitation or saturation of tree demand for nitrogen in southern New England. 150 Biogeochemistry 92:217–229. 151 Gaige E, Davidson EA, Hollinger DY, Fernandez IJ, Sievering H, White A, and Halteman W 152 (2007) Changes in canopy processes following whole-forest canopy nitrogen fertilization of a 153 mature spruce-hemlock forest. Ecosystems 10:1133–1147. 154 Gundersen P (1998) Effects of enhanced nitrogen deposition in a spruce forest at Klosterhede, 155 Denmark, examined by moderate NH4NO3 addition. Forest Ecology and Management 156 101:251–268. 157 Hogberg P, Fan H, Quist M, Binkley D, and Tamm C (2006) Tree growth and soil acidification 158 in response to 30 years of experimental nitrogen loading on boreal forest. 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Forest Ecology and 171 Management 196:7–28. 172 Magill AH, Downs MR, Nadelhoffer KJ, Hallett RA, and Aber JD (1996) Forest ecosystem 173 response to four years of chronic nitrate and sulfate additions at Bear Brooks Watershed, 174 Maine, USA. Forest Ecology and Management 84:29–37. 175 McNulty SG, Boggs J, Aber JD, Rustad L, and Magill AH (2005) Red spruce ecosystem level 176 changes following 14 years of chronic N fertilization. Forest Ecology and Management 177 219:279–291. 178 Mirmanto E, Proctor J, Green J, Nagy L, and Suriantata (1999) Effects of nitrogen and 179 phosphorus fertilization in a lowland evergreen rainforest. Philosophical Transactions Of 180 The Royal Society Of London Series B-Biological Sciences 354:1825–1829. 181 Moldan F, Kjonaas OJ, Stuanes AO, and Wright RF (2006) Increased nitrogen in runoff and soil 182 following 13 years of experimentally increased nitrogen deposition to a coniferous-forested 183 catchment at Gardsjon, Sweden. Environmental Pollution 144:610–620. 184 185 186 Nilsen P and Abrahamsen G (2003) Scots pine and Norway spruce stands responses to annual N, P and Mg fertilization. Forest Ecology and Management 174:221–232. Pregitzer KS, Burton AJ, Zak DR, and Talhelm AF (2008) Simulated chronic nitrogendeposition 8 187 188 189 increases carbon storage in Northern Temperate forests. Global Change Biology 14:142–153. Tanner E, Kapos V, and Franco W (1992) Nitrogen and phosphorus fertilization effects on Venezuelan montane forest truck growth and litterfall. Ecology 73:78–86. 190 Schleppi P, Muller N, Feyen H, Papritz A, Bucher J, and Fliihler H (2004) Nitrogen budgets of 191 two small experimental forested catchments at Alptal, Switzerland. Forest Ecology and 192 Management 101:177–185. 193 Sikstrom U (2002) Effects of liming and fertilization (N, PK) on stem growth, crown 194 transparency, and needle element concentrations of Picea abies stands in southwestern 195 Sweden. Canadian Journal of Forest Research 32:1717–1727. 196 Wallace ZP, Lovett GM, Hart JE, and Machona B (2007) Effects of nitrogen saturation on tree 197 growth and death in a mixed-oak forest. Forest Ecology and Management 243:210–218. 9 Supplemental Information Table 1. Forest nitrogen fertilization experiments used in modeldata comparison. Simulation level refers to the fertilization inputs used in the model simulations. ANPP, Aboveground net primary productivity Citation Forest Type Latitude Longitude Duration Fertilization Simulation (years) Level Level (g N m-2 yr-1) (gN m-2 yr1 ) Magill et al 2004 Broadleaf 43.4 N 72.2 W 16 5 4 (Hardwood +5) temperate Magill et al 2004 Broadleaf 43.4 N 72.2 W 16 15 10 (Hardwood +15) temperate Pregitizer et al 2008 Broadleaf 46.7 N 88.9 W 10 3 4 (Site A) temperate Pregitizer et al 2008 Broadleaf 45.6 N 84.9 W 10 3 4 (Site B) temperate Pregitizer et al 2008 Broadleaf 44.4 N 85.8 W 10 3 4 (Site C) temperate Pregitizer et al 2008 Broadleaf 43.7 N 86.2 W 10 3 4 (Site D) temperate Magill et al 1996 Broadleaf 44.9 N 68.1 W 3 2.5 2 (+ 2.5) temperate Magill et al 1996 Broadleaf 44.9 N 68.1 W 3 5.6 4 (+5.6) temperate Finzi 2009 Broadleaf 42 N 73.3 W 2 15 10 (Sugar maple – ash) temperate Finzi 2009 Broadleaf 42 N 73.3 W 2 15 10 (Oak-beech-hemlock) temperate Wallace et al. 2008 Broadleaf 41.8 N 73.8 W 9 72 10 temperate Kulmatiski et al 2007 Needleleaf 43.8 N 74.9 W 6 10 10 (Big Moose) evergreen Kulmatiski et al 2007 Needleleaf 43.92 N 71.7 W 6 10 10 (Hubbard Brook) evergreen Högberg et al 2006 Needleleaf 64.4 N 19.8 E 30 3.4 4 (+3.4) evergreen Högberg et al 2006 Needleleaf 64.4 N 19.8 E 30 6.4 4 (+6.4) evergreen Högberg et al 2006 Needleleaf 64.4 N 19.8 E 30 10.8 10 (+10.8) evergreen Hyvonen et al. 2008 Needleleaf 64.3 N 19.75 E 19 3.6 4 (Norrliden U1) evergreen Hyvonen et al. 2008 Needleleaf 60.92 N 16.02 E 32 3.4 4 (Stråsan) evergreen Hyvonen et al. 2008 Needleleaf 57.13 N 14.75 E 14 6.4 4 (Asa) evergreen Hyvonen et al. 2008 Needleleaf 57.10 N 15.48 E 16 4.4 4 (Åseda) evergreen Hyvonen et al. 2008 Needleleaf 64.1 N 19.45 E 15 8 10 (Flakaliden) evergreen 10 Type of measurement ANPP ANPP ANPP ANPP ANPP ANPP ANPP ANPP ANPP ANPP Basal Area Increment ANPP ANPP Volume increment Volume increment Volume increment Carbon increment Carbon increment Carbon increment Carbon increment Carbon increment Hyvonen et al. 2008 (Skogaby) Nilsen and Abrahamsen 2003 (Pine + 3) Nilsen and Abrahamsen 2003 (Pine + 9) Nilsen and Abrahamsen 2003 (Spruce +3) Nilsen and Abrahamsen 2003 (Spruce +9) Moldan et al. 2006 Needleleaf evergreen Needleleaf evergreen 56.6 N 13.2 E 14 10 10 Carbon increment 58.9 N 8.57 E 4 3 4 Volume increment Needleleaf evergreen 58.9 N 8.57 E 4 9 10 Volume increment Needleleaf evergreen 61.15 N 8.60 E 9 3 4 Volume increment Needleleaf evergreen 61.15 N 8.60 E 9 9 10 Volume increment 59.07 N 12.05 E 13 3.5 4 Volume increment 56.8 N 12.9 E 5 2 2 Volume increment 56.8 N 12.8 E 4 2 2 Volume increment 56.3 N 13.1 E 4 2 2 Volume increment 56.2 N 13.1 E 4 2 2 Volume increment 47.3 N 71.2 W 3 1.8 2 47. 3 N 71.2 W 3 6.0 4 49.2 N 73.7 W 3 0.9 0.5 49.2 N 73.7 W 3 3 4 21.1 N 89.3 W 3 22 30 21.1 N 89.3 W 3 22 30 8.75 N 82.3 W 2 12.5 10 Basal Area Increment Basal Area Increment Basal Area Increment Basal Area Increment Basal Area Increment Basal Area Increment ANPP 3.0 S 47.5 W 2 10 10 9.1 N 79.8 W 9 12.5 10 Needleleaf evergreen Sikstrom 2002 Needleleaf (Site 244) evergreen Sikstrom 2002 Needleleaf (Site 245) evergreen Sikstrom 2002 Needleleaf (Site 246) evergreen Sikstrom 2002 Needleleaf (Site 247) evergreen Houle and Moore Needleleaf 2008 (Fir + 1.8) evergreen Houle and Moore Needleleaf 2008 (Fir + 6.0) evergreen Houle and Moore Needleleaf 2008 (Spruce + 0.9) evergreen Houlle and Moore Needleleaf 2008 (Spruce + 3) evergreen Campo and Vazquez- Tropical Yanes 2004 (old) evergreen Campo and Vazquez- Tropical Yanes 2004 (young) evergreen Adamek et al. 2009 Tropical evergreen Davidson et al. 2004 Tropical evergreen Wright et al. 2011 Tropical evergreen 11 Aboveground C increment ANPP Supplemental Information Figure 1: Aboveground net primary productivity response to nitrogen fertilization grasslands (n = 35). The observations are from the N fertilization experiments and the model response is from the grid cells that contain the same field experiments. The model fertilization matched the duration and magnitude of N fertilization in the field experiment. 12 a b c d e f Supplemental Information Figure 2. 5-yr mean NPP responses in the CLM-CN (a.c,e) and O-CN (b,d,f) for 5 gN m-2 yr-1 (a,b), 10 g N m-2 yr-1 (c,d) and 30 gN m-2 yr-1 (e,f) global nitrogen fertilization simulations. 13