1 Supplementary Information 2 Title: Impacts of reactive nitrogen on climate change in China 3 Authors: Yalan Shi1, Shenghui Cui1*, Xiaotang Ju2, Zucong Cai3 & Yong-Guan Zhu1,4* 4 Affiliation: 1 Institute of Urban Environment, Chinese Academy of Sciences, 1799 Jimei 5 Road, Xiamen 361021, PR, 2 College of Resources and Environmental Sciences, China 6 Agricultural University, Beijing 100193, PR, 3 College of Geography Science, Nanjing 7 Normal University, Nanjing, 210023, PR, 4 Research Center for Eco-Environmental 8 Sciences, Chinese Academy of Sciences, 18 Shuangqing Road, Beijing 10085, PR, * 9 Correspondence and requests for materials should be addressed to S.H.C. (shcui@iue.ac.cn) 10 and Y.G.Z (ygzhu@iue.ac.cn). 11 Outline: 12 _Toc402920742Climate Generators Related to Nr .................................................................. S2 13 Common Metric for Climate Change ...................................................................................... S5 14 Emission Inventory of Anthropogenic Nr emissions ............................................................... S9 15 Literature analysis of N Deposition ....................................................................................... S12 16 N-induced CO2 and CH4 Flux Factors of Terrestrial Ecosystems ......................................... S16 17 Impacts of Nr Enrichment on GHG Fluxes ........................................................................... S22 18 Climate Impact of Nr with Uncertainty Analysis .................................................................. S26 19 Projection of the Impact of Nr on Climate Change ............................................................... S29 20 Supplementary Information References ................................................................................ S32 21 Figure: Figure S1 S1 22 Table: Table S1-S8 23 Climate Generators Related to Nr 24 Nitrogen (N) must be transformed from its molecular form (N2) into other forms for 25 using by living organisms. These other forms, collectively known as reactive nitrogen (Nr), 26 include all active N compounds [in general, including organic N, ammonium (NH4-N in 27 water and NH3 in air), NOx, N2O, and nitrite & nitrate] in the biosphere, pedosphere, 28 hydrosphere, and atmosphere. Nr is highly active in the environment1 and contributes to 29 several environmental and climatic effects as it cascades through these media2,3. 30 A characteristic feature of climate change is the long atmospheric residence time of 31 non-reactive greenhouse gas (GHG). However, historically, anthropogenic changes to the N 32 cycle and effects on the Nr flows are characterized mainly as short-lived, except for N2O. 33 Short-lived atmospheric substances such as NOx and NH3 are formed in numerous 34 processes2. Therefore, short-lived species are also believed to contribute significantly to the 35 earth’s radiative balance in the short term and to human-induced climate change4. Nr affects 36 the climate system by changing either the atmospheric constituents or the terrestrial N 37 dynamics5. These direct and indirect climate generators are summarized in Figure S1 and 38 explained in the following discussion, designated as E1-E6. Among them, E1-E3 are 39 categorized as direct links, while E4-E6 are categorized as indirect links. 40 E1: N2O is a strong GHG. One unit N2O molecule can yield about 300 times greater 41 global temperature increase compared with one unit CO2 molecule. N2O concentration in 42 the atmosphere is mainly and directly determined by the microbial conversion processes of S2 43 44 nitrification and denitrification. E2: NOx, on the one hand, is the precursor of ozone and can stimulate the production 45 of ozone, which is the third most powerful GHG, contributing to warming effects; on the 46 other hand, the atmospheric hydroxyl (OH) radical concentration as a result of NOx 47 emissions can reduce the lifetime of methane (CH4) and remove CH4 in the atmosphere, 48 contributing to a cooling effect. Furthermore, the ozone concentration in the upper 49 troposphere can be enhanced by CH4, which has a longer lifetime6. Ozone is short-lived 50 while CH4 is long-lived. The combined response of ozone and CH4, known as the 51 ozone-CH4 effect, takes the ozone, CH4 and CH4-induced ozone perturbations into account. 52 E3: NOx and NH3 can lead to the formation of oxidants, like the OH radical. These 53 oxidants enhance the sulfate or nitrate light-scattering aerosols, which have a cooling effect 54 through scattering incoming solar radiation. They also exercise a number of indirect cooling 55 effects by modifying the properties of clouds7. Considering that the indirect radiative 56 forcing (i.e., RF, represents the influence degree to the energy balance between 57 atmosphere-terrestrial system) effect of aerosol is quiet small8 and far more uncertain than 58 the direct RF9, only the direct effects of aerosols are considered here. 59 E4: N availability can influence C sequestration capacity in terrestrial ecosystems. 60 The enrichment of Nr affects the CO2 exchange between atmosphere and land, either 61 positively (CO2 uptake occurs by increasing productivity or reducing the decomposition rate) 62 or negatively (CO2 emission occurs by increasing mortality rate in excess N situations). 63 E5: N availability can influence CH4 production and consumption in terrestrial S3 64 ecosystems through many microbial processes. On the one hand, the addition of N in the 65 form of nitrogenous salts and nitrite reduces and inhibits CH4 oxidation by increasing 66 osmotic pressure, which suppresses CH4 uptake. On the other hand, the activities of both 67 methanogenic archaea and methanotropic bacteria cause increases or decreases in CH4 68 emissions. 69 70 E6: Ozone formed in the troposphere as a result of NOx emissions can damage plant productivity and further decrease CO2 uptake by the vegetation. 71 72 Figure S1. Effect dynamics of climate generators related to Nr. The framework is 73 adopted and modified from the study of Pinder et al.10. (+) represents a warming effect on 74 the climate, (-) represents a cooling effect on the climate. 75 S4 76 77 Common Metric for Climate Change Different climate generators have different RF intensities and lifetimes. A key 78 challenge to quantifying the effects of climate generators is the development of a common 79 metric, which should take both RF intensities and lifetimes into account and make different 80 climate generators comparable on a common scale. Many metrics have been used to 81 characterize the climate effects11. Particular emphasis has been placed on global warming 82 potential (GWP) and global temperature potential (GTP). GWP is the time-integrated RF 83 due to a pulse or continuous emission of a unit mass of gas over a given time period 84 compared to the reference gas CO212. GTP is the end-point RF and shows the temperature 85 change at a particular time in the future13. The GWP was a key product of the 86 Intergovernmental Panel on Climate Change (IPCC)4 and has been used in the Kyoto 87 Protocol. However, the advantages and problems of the GWP have been vigorously 88 debated14,15. GWP is particularly useful in quantifying the climate impact of current 89 emissions of long-lived GHGs but is less suited to quantifying the impact of short-lived 90 agents. In addition, assessment using the GWP metric is hard to integrate with specific aims 91 in terms of climate change: for example, constraining the global mean RF or warming to 92 stay below given values at a particular time in the future13. Soon after, Shine et al.13 93 proposed GTP as a possible alternative to the GWP, which can explicitly represent the 94 impact of a change in emissions on temperature and is well targeted for policy making. 95 96 In this study, the GTP is used as the common metric to assess and inter-compare the climate impacts of Nr compounds. The quantified results of GTP for climate forces E1-E6 S5 97 at different timescales (20-y and 100-y) were adopted from the extant studies and listed in 98 Table S1. Here, we interpreted and discussed only the E2 and E3 in detail. 99 NOx, is the most important precursor of tropospheric ozone, leads to the formation of 100 oxidants16 and has acted to double the global mean tropospheric ozone concentration 17. 101 It also hastens the destruction of CH4 by increasing OH concentrations18. The ozone RF has 102 two components with opposing signs. One is short-lived and driven by the direct effects of 103 NOx on ozone chemistry; the other is long-lived, controlled by the slower change in CH4 104 adjustment time19. The general characteristic is that the short-lived ozone forcing is always 105 positive, while the CH4 forcing and CH4-induced ozone forcing are always negative20. As a 106 result, NOx emissions exert a negative forcing from decreased CH4 that dominates over the 107 smaller positive forcing from increased ozone, implying a net cooling. The climate forcer 108 E2 has taken these components (i.e., short-lived ozone and CH4 and CH4-induced ozone 109 perturbations) into account, namely the ozone-CH4 effect. The responses of ozone and CH4 110 RF compensation effect to NOx emissions have varied greatly among sources and 111 regions21-23. Firstly, we considered the different effects between surface, shipping, and 112 aircraft sources24. In addition, we adopted the values of GTP for NOx from surface source 113 for East Asia from Collins et al.25 for time horizons of 20 and 100 years, respectively; while 114 the values of GTP for NOx from shipping and aircraft sources are from Fuglestvedt et al. 115 24 116 This effect works through interactions with NOx to alter the availability of oxidants, 117 influencing the sulfate and organic aerosols formation rates, or through sulfate-nitrate .Both NOx and NH3 can enhance the formation of aerosols, forming the climate forcer E3. S6 118 competition for NH324,26. Aerosols are known to have direct cooling effects through 119 scattering of the incoming solar radiation and to exercise a number of indirect cooling 120 effects by modifying the properties of clouds; (i) the cloud albedo effect: brightens the 121 clouds by increasing cloud condensation nuclei, and (ii) the cloud lifetime effect: enhances 122 cloud cover by reducing precipitation efficiency7. These aerosol indirect effects (AIE) have 123 been poorly quantified. Estimating the AIE from cloud albedo and lifetime effects is far 124 more tentative than the direct RF owing to the uncertainties from aerosol mass 125 concentration to cloud properties9. By contrast, the more recent study of Shindell et al.27 126 provided an improved approach allocating the direct RF to emissions, namely the 127 “emission-based” assessment. The emission-based forcing via NOx and NH3 effect on 128 aerosols (excluding AIE) are -0.18 and -0.09 W/m2, respectively, with the uncertainty 0.09 129 and 0.10 W/m2. We adopted the values of GTP20 and GTP100 based on the global direct 130 aerosol RF of Shindell et al.27, without considering the AIE on clouds. 131 Table S1. GTP of N-related Climate Generators Species N2O (E1) NOx (E2: surface)a NOx (E2: shipping)a NOx (E2: aircraft)a NOx (E3)b NH3 (E3)b CH4 (E4, E5) CO2 (E4, E5, E6) GTP20 +290 to +320 -79 to -32 -190 to -130 -590 to -200 -31 to -7.0 -9.5 to -2.2 +37 to +77 +1 GTP100 +260 to +290 -3.4 to -0.8 -6.1 to -4.2 -9.5 to +7.6 -0.0024 to 0 -0.022 to 0 +2.9 to +4.9 +1 Reference 7,13 25 24 24 10,27 10,27 28 132 a includes impacts to short-lived ozone, CH4 and CH4-induced ozone; b includes impacts to 133 nitrate and sulfate aerosols direct RF, but not to clouds; c CO2 is defined as the reference gas S7 134 with the value 1. S8 135 Emission Inventory of Anthropogenic Nr emissions 136 The results of anthropogenic Nr emissions from many published materials show a 137 certain inconsistency due to the different approaches used. We compiled Nr emission data 138 from the existing regional and global emission inventories associated with China. These 139 inventory datasets are openly accessible, in most cases directly online, including the IIASA 140 GAINS (2000-2030), EDGAR v4.2 (1970–2008), RCPs (2005–2100), and MACCity 141 (1960–2020). The classifications of the sectors differ among inventory models. For example, 142 IIASA GAINS: N2O (combustion, transportation, industry, product use, soil, manure, waste); 143 NOx (power and heating plants, other energy-sector combustion, industrial combustion, 144 industrial processes, domestic, road transportation, non-road mobility, waste management); 145 NH3 (dairy cattle, other cattle, hogs, poultry, other livestock, N-fertilizer application, 146 stationary combustion, transportation, waste). EDGAR v4.2: energy (fuel combustion and 147 fugitive emissions from fuel, industrial processes, and product use); agricultural (manure 148 management, agricultural soils, agricultural waste burning); waste, biomass burning. 149 MACCity and RCPs: aviation, transportation, energy, solvents, waste, industrial, residential, 150 agricultural waste, agriculture, ships, biomass burning. 151 The sources of gaseous Nr can be incorporated into two major categories: 152 agriculture (including agricultural soils, animal manure, and biomass burning) and industry 153 (fossil fuel combustion, industry production, and waste management). Table S2 154 demonstrates the emission sources (including agricultural and industrial sources) and 155 chemical species (NOx, NH3, N2O) from different inventory models. We defined the S9 156 uncertainty using the variation range of all these inventories and took the median value for 157 the years 2000 and 2005. As shown in Table S3, the estimated results in this study are 158 comparable and generally consistent with the published results from local studies, although 159 they cover different periods and employ different calculation methods. Hence, we finally 160 improve the estimated Nr emission data from online global or regional emission inventories 161 (e.g., http://gains.iiasa.ac.at/gains; http://edgar.jrc.ec.europa.eu; 162 http://ether.ipsl.jussieu.fr/eccad) in a universal time and more complete sources. 163 Table S2. Overview and Summary of Emission Inventories of Nr for China Sector N2O Fossil fuel combustion Product use Agricultural soils Animal manure Waste treatment Biomass burning NOx Fossil fuel combustion Biomass burning Industrial processes Waste management Agricultural soils NH3 Fossil fuel combustion Fertilizer application Fertilizer production Animal manure Biomass burning IIASA GAINS EDGAR v4.2 ● ● ● ● ● RCPs ● ● ● ● ● ● ● ● ● ● ● ● MACCity ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 164 165 Table S3. Nr Emissions based on Review of Online Inventories and Published Studies, in S10 166 Tg N. 167 (a) N2O (×10) This study Base year Agricultural soils Manure management Industry production Fuel burning 2000 6.59 1.62 2005 7.29 1.75 Chen and Zhang29 2000-2007 4.0 2.14 0.64 0.70 0.67 0.83 168 Li, et al.30 SDRC31 2006 - 2005 4.28 1.61 0.75 0.55 0.67 0.68 - 0.85 (b) NOx Base year Agricultural soils Fossil fuel burning Biomass burning This study 2000 2005 0.17 0.17 Wang, et al.32 1997-1999 0.85 Ohara, et al.33 2000 - Sun, et al.34 2000 - 3.45 5.06 3.72 3.4 3.38 0.03 0.02 0.08 - - Huang, et al.35 2006 3.2 Streets, et al.36 2000 5.5 Wang, et al.37 2005 4.2 169 (c) NH3 Base year Agricultural soils Manure management Biomass burning Others This study 2000 2005 3.27 3.75 4.95 5.2 5.3 4.1 5.8 1.0 1.06 0.16 1.1 0.65 0.89 1.07 170 S11 171 172 Literature analysis of N Deposition We reviewed and collected the monitoring data of N deposition rates of different 173 sites around China, mainly covering different ecosystems and the period 2000–2005 from 174 the extant studies (Table S4). Through the application of ARCGIS 10, an explicit spatial 175 map (Figure 3a) of N deposition rates around China was developed using the spatial 176 interpolation technique (kriging). The interpolation results showed that the average N 177 deposition rate was 15.7 kg N/ha/yr across China, and the N deposition summed to 15.1 Tg 178 N/yr, which was consistent with the total estimated emissions of NOx and NH3 in 2005 in 179 our study (15.4 Tg N/yr). In addition, our result was comparable to the estimation of Liu et 180 al.38 (15 Tg N/yr in the 2000s). For an individual ecosystem, N deposition contributed 3.56, 181 5.28, 5.68, and 0.57 Tg N into cropland, forest, grassland, and wetland, respectively (Figure 182 3b-e), roughly consistent with the view of Liu et al. that about one fourth of N was 183 deposited into agro-ecosystems, and the remaining three fourths were deposited into forest, 184 grassland, and aquatic ecosystems39. S12 Table S4. N Deposition over Terrestrial Ecosystems of China X Y 118°2′ 116°17′ 116°25′ 116°08′ 116°41′ 106°41′ 117°43′ 117°-118 117°36′ 30°33′ 40°03′ 39°50′ 39°41′ 40°03′ 29°37′ 26°31′ 23.8°-25° 24°32′ N deposition rate (kg N/ha/yr) 23.4 38 38 25.1 16 42 53 53 14.9 Grassland Gansu 102°10′ 34°01′ 2 - DHS Forest Guangdong 112°33′ 23°10′ 38.4 Wet LXH ZSHM LCG LGS QZ BD WQ SJ ZJC CJT Forest Guangdong Guangdong Guizhou Guizhou Hebei Hebei Hebei Heilongjiang Hubei Hunan 113°35′ 113°34′ 106°43′ 108°11′ 115°01′ 115°27′ 116°36′ 131°31′ 110°58′ 112°26′ 23°33′ 22°33′ 26°38′ 26°27′ 36°52′ 38°52′ 37°36′ 47°35′ 30°49′ 27°55′ 9.3 35.8 8.1 9.5 22.5 28 23 7.57 10.3 21.6 Wet Bulk Wet Wet Bulk Bulk Bulk Wet Wet Wet ID Site Symbol Type Province 1 2 3 4 5 6 7 8 9 Fengxingzhuang Dongbeiwang Campus Experimental Farm Fangshan Shunyi Tieshanping Forest Park Shaxian Zhangzhou Jiulongjiang River Maqu Grassland Research Station Dinghushan Biosphere Reserve Liuxihe Zhongshanhengmen Liuchongguan Leigongshan Quzhou Baoding Wuqiao Sanjiang Plain Zhangjiachong, zigui Caijiatang FXZ DBW CEF FS SY TSP SX ZZ JLJ Forest Cropland Cropland Cropland Cropland Forest Forest Forest Cropland Anhui Beijing Beijing Beijing Beijing Chongqing Fujian Fujian Fujian MQ 10 11 12 13 14 15 16 17 18 19 20 21 Forest Forest Cropland Cropland Cropland Cropland Forest S13 Deposition type Bulk Bulk Bulk Bulk Bulk Bulk Wet Wet Bulk Reference 40 41 41 41 41 42 43 44 45 46,47 48 49 50 51 50 50 41 52 52 53 54 50 112°91′ 27°87′ 26.2 Wet 116°40′ 43°32′ 4 - 111°54′ 41°47′ 4 - 116°26′ 42°05′ 17 Bulk YZ TH JR YT XJ DGS PYL Hunan Inner Grassland Mengonia Inner Grassland Mengonia Inner Cropland Mengonia Cropland Jiangsu Jiangsu Cropland Jiangsu Grassland Jiangxi Cropland Jiangxi Forest Jiangxi Cropland Jiangxi 119°13′ 120°12′ 120°27′ 116°55′ 117°00′ 114°30′ 116°00′ 32°01′ 31°15′ 32°00′ 28°12′ 28°2′ 27°30′ 28°30′ 30 89.7 33 26.3 62.6 33.3 74.1 Bulk Bulk Wet Bulk Bulk Wet Bulk CBS Forest Jilin 127°42′ 41°41′ 12 Bulk FS DA Forest Cropland Jilin Liaoning 127°29′ 121°43′ 42°20′ 38°52′ 7 28 Bulk Bulk YWS Grassland Ningxia 106°17′ 36°00′ 3 - HB QHL HM QD SH YL LC LFG Grassland Grassland Cropland Cropland Wetland Cropland Cropland Forest 101°19′ 100°27′ 117°32′ 120°22′ 121°28′ 109°44′ 109°25′ 103°47′ 37°37′ 37°07′ 37°29′ 36°04′ 31°13′ 38°17′ 35°45′ 28°29′ 2 2 38 22 78.4 22.7 17 18 Bulk Bulk Wet Bulk Bulk - 22 Shaoshan SS 23 Xilin River Basin XRB 24 Siziwangqi SZWQ 25 Duoluo DL 26 27 28 29 30 31 32 Yangtze River Taihu Basin JuRong Basin Yingtan Experimental Station Xinjiang River Dagangshan Poyang Lake Changbaishan Forest Research Station Fusong Dalian Yunwushan Grassland Natrual Reserve Haibei Research Station Qinghai Lake Huimin Qingdao Shanghai Yulin luochuan Liangfenggao Forest Park 33 34 35 36 37 38 39 40 41 42 43 44 Forest Qinghai Qinghai Shandong Shandong Shanghai Shanxi Shanxi Sichuan S14 55 56 57 52 58 59 60 61 62 63 64 65 65 52 66 46,47 67 41 68 69 70 70,71 72 45 46 47 48 49 50 51 Gonggashan Linzhi Changdu Urumchi Dongchuan Mudflow Monitoring Station Fenghua Changlejiang Basin 101°52′ 94°30′ 97°21′ 87°37′ 29°35′ 30°12′ 30°10′ 43°49′ 33 7 4.5 5 Bulk Wet Wet Bulk 52 52,73 73 52 Grassland Yunnan 103°10′ 25°00′ 4 - 74 Cropland 120°33′ 120°37′ 29°56′ 29°31′ 50 81.8 Bulk Bulk 52 75 GGS LZ CD UR Forest Forest Grassland Grassland DC FH CLJ Sichuan Tibet Tibet Xingjiang Zhejiang Zhejiang S15 159 N-induced CO2 and CH4 Flux Factors of Terrestrial Ecosystems 160 The addition of N into terrestrial ecosystems can alter the physiology of soil 161 microbes and vegetation and concomitantly alter the balance of biogenic fluxes of the three 162 main GHGs (CO2, CH4, and N2O), including creating both positive and negative effects on 163 the biogenic production and consumption of these GHGs76-78. Previous studies have 164 indicated that although N addition greatly stimulated terrestrial CO2 assimilation in both 165 natural vegetation and agricultural land, CH4 and N2O emissions caused by N simulation 166 largely offset N-induced CO2 uptake in terms of climate change79,80. These opposing 167 impacts of N enrichment are quite different depending on the land cover type79,81. The net C 168 exchange (NCE), defined to include the net fluxes of CO2 and CH4 between ecosystems and 169 the atmosphere, is calculated as: 170 NCE FCO2 FCH 4 (1) 171 where FCO2 is the net C fluxes related to CO2, and FCH 4 is the net C fluxes related 172 to CH4. Local flux factors are preferred to get a precise estimation. In the following section, 173 we discuss and calculate FCO2 for China in detail (Table S5). Because of the lack of 174 available data, FCH 4 was directly adopted from the study of Liu and Greaver79, which 175 reviewed 109 studies and evaluated the effect of N addition on the flux of major GHGs. 176 Three main methods were used to estimate the terrestrial C balance in China and the 177 driving mechanisms during the past twenty years: biomass and soil C inventories 178 extrapolated by satellite greenness measurements, ecosystem models, and atmospheric 179 inversions. Based on the terrestrial ecosystem model, Tian et al. estimated that the NCE of S16 180 land ecosystems in China was 215±78 and 260±110 Tg C/yr during 1981–2000 and 181 1996–2005, respectively, under the effect of multiple environmental factors 82. In the 182 simulations, N deposition and fertilizer application together accounted for about 60% (N 183 deposition: 40-45%, N fertilization: 15-20%) of the NCE. The simulated results of NCE 184 were comparable to the inventory estimates of 180±73 Tg C/yr and atmospheric inversion 185 of 350±330 Tg C/yr for the same period, respectively83. Lu et al. further indicated that 186 increased N deposition resulted in an NCE of 122±99 Tg C/yr and N deposition combined 187 with its interactive effects driven by changes in other environmental factors contributed to 188 45% of NCE84. We divided the N-induced C sink by the NCE driven by 189 multi-environmental factors to obtain the contribution rates of N enrichment to C 190 sequestration of different terrestrial ecosystems, which were 71%, 75%, 16%, and 77% for 191 forest, grassland, shrubland, and cropland biome, respectively. The flux factors of CO2 and 192 CH4 for any particular ecosystem were calculated by dividing FCO2 and FCH 4 by the 193 corresponding N addition mass into the system. 194 Cropland. The exchange of C in cropland refers to the stocks in soil and biomass. 195 However, C incorporated into plants is harvested at least once per year and released back as 196 CO2 into the atmosphere through the food web within the year85. This implies that the 197 increasing crop biomass does not contribute to a net long-term C sink. Hence, the NCE of 198 cropland only accounted for the change of soil C stocks excluding the biomass stocks. 199 Cropland in China functioned as a C sink with an average soil C sequestration rate (SCSR) 200 of 30.5 Tg C/yr, including the CO2 uptake and CH4 emission fluxes of 37.3 and 6.8 Tg C/yr S17 201 during 2001-2005. The SCSR due to anthropogenic N input averaged 32 Tg C/yr during 202 2000-200886. Lu et al. repressed the linear relationship between the SCSR and the amount 203 of N fertilizer; as a result, the value of SCSR was around 22.3 Tg C/yr during 2001-200587. 204 Combined with these previous results, we can summarize the N fertilization-induced soil C 205 sink of 22-32 Tg C/yr in cropland. Lu et al. estimated the SCSR due to N deposition to be 206 around 3-13 Tg C/yr during 2001-200584. Therefore, the total N-induced SCSR in cropland 207 varied from 25-45 Tg C/yr, which was in the scope of 53±31 Tg C/yr estimated by Tian et 208 al., whose study considered the effects of multiple factors during 1996–200582, with the 209 contribution rates of 17% and 60% from N deposition and N fertilization, respectively88. 210 Therefore, the N-induced flux factor of CO2 for Chinese cropland is 1.08±0.63 kg C/kg N. 211 Forest. In our study, shrubland is included in the forest category. N deposition to 212 forest soils shows variable effects on the soil GHG fluxes from forest, depending on forest 213 type, N status of the soil, and the rate and type of atmospheric N deposition. For example, 214 the combination of high C, N ratios, and long lifetimes in wood may create a significant C 215 sink in forests. However, much of the N falls on cultivated areas and grasslands, where there 216 is limited capacity for long-term C storage89,90. In high N deposition areas, N addition may 217 lead to adverse growth effects due to impacts of N-induced eutrophication and acidification 218 on forest health91. Forests in China acted as a C sink, with an average NCE of 119±39 Tg 219 C/yr during 1996–200582 and a contribution rate of 71% from N deposition. Lu et al. further 220 estimated N-induced NCE at 84±59 Tg C/yr during 2001–200584. Our estimated fluxes 221 factor for forest biomes of 16±11 kg C/kg N was roughly consistent with previous results. S18 222 For example, the fluxes factor of CO2 for forests was reviewed within the range of 15–44 kg 223 C/kg N79. Tian et al. found that the average N-induced C sequestration in China’s forest 224 ecosystems varied from 0 to 59 kg C/kg N simulated by TEM, and from 0 to 21 kg C/kg N 225 simulated by DLEM for the 1990s82. 226 Grassland and wetland. Compared to forest land, N-induced C sequestration in 227 grassland was less significant and responsive, partly because most grassland ecosystems are 228 distributed in high-latitude areas or in arid to semiarid regions, where plant growth is 229 limited more by low temperature and low soil moisture than by N availability. The C:N 230 ratios of non-woody tissue in grassland are far less than those of woody tissue in forest and 231 shrubland. In addition, the turnover rate in grassland is relatively high, resulting in more C 232 transfer into the soil84. The average NCE of grassland in China varied from 16 to 50 Tg C/yr 233 based on ecosystem modelling during 1996–200582, with the contribution rate of 75% from 234 N deposition. The estimation by Lu et al. of N-induced NCE was 25±23 Tg C/yr during 235 2001–200584. Grassland systems were estimated to function as a C sink due to CO2 uptake, 236 with an average flux factor of 4.4±2.3 kg C/kg N. 237 Wetland and paddy land were the largest contributors to CH4 emissions, because 238 they have a high capacity for CH4 production under the conditions of wet climate and 239 higher biological activity. The flux factors of CH4 for wetland and cropland based on the 240 terrestrial ecosystem model reported by Tian et al. were 2.54±0.89 and 0.16±0.02 Tg C/Tg 241 N92. Local flux factors are preferred to get a precise estimation. Nonetheless, because Nr 242 enrichment has both positive and negative effects on CH4 emission, it is difficult to S19 243 distinguish the effect of Nr enrichment from other factors. To solve this problem, the review 244 data from Liu and Greaver79 were directly adopted as alternative data for the CH4 flux 245 factor. S20 Table S5. N-induced GHG Flux Factors of Different Terrestrial Ecosystems Item Driving factor Net C exchange (NCE) (Tg C/yr) Multiple factors N deposition N fertilization Contribution rate N enrichment (Tg) FCO2 (Tg C/yr) CO2 Flux factor a (kg C/kg N) CH4 Flux factor a (kg C/kg N) a N addition GHG fluxes from Chinese terrestrial ecosystems Cropland Forest Grassland Shrubland Process-based ecosystem modeling 44±22 98±28 27±12 46±16 53±31 119±39 33±17 55±23 Inventory–satellite-based estimation 26±11 75±34 13±4 58±14 Atmospheric inversion Process-based ecosystem modeling 8±5 84±59 25±23 8±5 84±59 25±23 27±5 77% 71% 75% 38 5.28 5.68 - Wetland 1981-2000 1996-2005 82 82 - 180±73 1981-2000 83,93-95 350±330 1996-2005 0.57 85±28 25±13 9±3.7 -1.08±0.63 -16±11 -4.4±4 - - 0.02±0.01 0.016±0.004 - - 0.008±0.004 S21 Total 215±78 260±110 41±24 -represents uptake, + represents emission Reference - 9±7 9±7 16% - Period 83 122±99 122±99 27±5 57% 1981-1990 2001-2005 2001-2005 84 84 86-88 206±88 1996-2005 All combined 79 240 Impacts of Nr Enrichment on GHG Fluxes 241 The creation of anthropogenic Nr through agriculture and industrial activities 242 resulted in substantial N addition into the terrestrial ecosystems in the form of both N 243 fertilization and N deposition. Ecosystem N availability plays an important role in 244 controlling the productivity, structure, and dynamics of terrestrial ecosystems. It has not 245 only strong effects on responses of the terrestrial net C balance96 but also a suite of 246 detrimental effects on ecosystem services associated with environmental quality97. By 247 nature, N-induced climate change is governed by the interactions between terrestrial C and 248 N98. Results of Liu and Greaver79 indicated that N addition increased C content of forest 249 ecosystems by 6% and marginally increased soil organic C of agricultural systems by 2%, 250 but had no significant effect on soil C for non-forest natural ecosystems. Reay et al. 251 projected that the land and ocean sinks may sequester an additional 10% of anthropogenic C 252 emissions by 2030 owing to increased N inputs, but a more conservative estimate of 1 to 253 2% is more likely99. Based on the above flux factors of CO2 and CH4 for China, N-induced 254 GHGs emission/uptake and the resulting climate impact were estimated for different 255 ecosystem types in Table S6. 256 As the response to N deposition, forests in China became the single largest C sink 257 (31.9 to 136 Tg C), followed by grassland (4.5 to 45 Tg C) and cropland (1.8 to 5.6 Tg C). 258 Throughout China, the terrestrial system displayed a net C sink of 27 to 176 Tg, although 259 the C sequestration capacity varied among regions. However, only a small area in western 260 China was the N-induced C source (Figure 3f). In general, N-induced NCE is considered a S22 261 cooling agency in the long term. However, the increasing forest and crop biomasses do not 262 always contribute to a net long-term C uptake. For forest biomass, not all the C 263 sequestration is stored and retained on a long timescale due to annual harvest removal or 264 mortality. We adopted and assumed a C retention rate between 40-60% on a 20-y basis and 265 between 20-40% on a 100-y basis10 as suitable for forest in China. As a result, N-induced 266 NCE in forest ecosystems contributed a cooling effect of -37±19 and -25±11 Tg CO2e on a 267 20-y and a 100-y basis, respectively. For crop biomass, C incorporated into plants will also 268 be harvested and then released back into atmosphere85. We only considered the soil C 269 storage change in crop fields in order to avoid overestimating the C uptake. As a result, 270 N-deposition induced NCE in cropland ecosystem contributed a warming effect of 0.3±3.7 271 Tg CO2e and a cooling effect -3.5±2.3 Tg CO2e on a 20-y and a 100-y basis. The grassland 272 and wetland ecosystems in China were the net cooling and warming agencies by the 273 responses of CO2 uptake and CH4 emissions to N deposition, respectively (Table S6). 274 Overall, N deposition has a cooling effect of 61.6±38.5 and 53.2±30.2 Tg CO2e on a 20-y 275 and a 100-y basis, respectively. 276 For fertilized cropland, we needed to consider the effect of N fertilization in addition 277 to N deposition. N fertilizer application to the cropland can be divided into chemical 278 fertilizer and organic fertilizer (i.e., manure and crop residue returned to fields). These 279 fertilizers can alter CO2 and CH4 fluxes just as N deposition can. Drawing on the extant 280 results of Cui et al.100, the total amount of N fertilizer applied to the cropland was 35.7 Tg 281 in 2005. N inputs from chemical fertilizer amounted to 26.3 Tg; while N inputs from the S23 282 manure and crop residue returned to fields were estimated at 7.36 and 1.97 Tg N, 283 respectively. A net CO2 uptake of 14 to 58 Tg C and CH4 emission of 0.40 to 1.06 Tg C for 284 cropland was generated at the national scale, resulting in a warming effect with 12±47 Tg 285 CO2e and a cooling effect with -33±22 Tg CO2e on a 20-y and a 100-y basis. Together with 286 the impact of N deposition on NCE, cropland contributed 12±50 and -37±24 Tg CO2e to 287 climate change on a 20-y and a 100-y basis, respectively. N fertilization played a more 288 significant role than N deposition in C sequestration because of the nationwide application 289 of chemical fertilizer and intensive agricultural production in China. 290 S24 291 Table S6. Impacts of N Deposition and N Fertilization on GHGs fluxes and the Climate 292 System N deposition Forest Grassland Wetland Cropland Total CO2 (Tg C) -136 to -32 -45 to -4.5 0 -6.0 to -1.6 -176 to -27 GTP20 (Tg CO2e) -42±18 -25±20 0 -3.8±2.2 -71±36 GTP100 (Tg CO2e) -25±11 -25±20 0 -3.8±2.2 -54±30 Forest Grassland Wetland Cropland Total CH4 (10-3Tg C) 66 to 103 0 2.5 to 6.5 39 to 103 113 to 208 GTP20 (Tg CO2e) 4.8±1.2 0 0.26±0.10 4.1±1.5 9.1±2.5 GTP100 (Tg CO2e) 0.33±0.07 0 0.02±0.01 0.28±0.09 0.63±0.17 Forest Grassland Wetland Cropland Total NCE (Tg C) -136 to -31.9 -45 to -4.5 0.0025 to 0.0065 -5.6 to -1.8 -176 to -27 GTP20 (Tg CO2e) -37.2±19.2 -25±20 0.26±0.10 0.3±3.7 -61.6±38.5 GTP100 (Tg CO2e) -24.7±11 -25±20 0.02±0.01 -3.5±2.3 -53.2±30.2 CO2 (Tg C) -58 to -14 CH4 (Tg C) 0.40 to 1.06 NCE (Tg C) -57 to -13.6 GTP20 (Tg CO2e) -36±22 GTP20 (Tg CO2e) 48±30 GTP20 (Tg CO2e) 12±47 GTP100 (Tg CO2e) -36±22 GTP100 (Tg CO2e) 3.2±1.9 GTP100 (Tg CO2e) -33±21 N fertilization Cropland 293 S25 294 295 Climate Impact of Nr with Uncertainty Analysis As discussion above, compared to the GWP, the GTP produces equivalent climate 296 responses at a given time, which is suited to evaluating not only near-term climate 297 fluctuations caused by emissions of short-lived species such as NOx or NH3, but also the 298 long-term climate effects caused by emissions of long-lived species like N2O. The GTP 299 retains transparency and relative ease of use, which are attractive features of the GWP; 300 moreover, the GTP includes a dependence on the target of climate policy. Therefore, the 301 metric GTP is more suitable for assessing the significance of Nr on climate systems. 302 During our calculation, two main limitations gave rise to some uncertainty. First, 303 there is considerable variation in gaseous Nr emissions due to the different calculation 304 models, data sources, and parameter settings; in addition, the application of the metric GTP 305 increases the uncertainty that comes from relying on the properties of the emitted compound 306 and of the climate system. Therefore, we used the Monte Carlo Sampling (MCS) and Latin 307 Hypercube Sampling (LHS) method to simulate and propagate the uncertainties through the 308 calculation, respectively. 309 The principle behind MCS and LHS is that the behavior of a statistic in random 310 samples can be assessed by the empirical process of actually drawing lots of random 311 samples and observing the outcomes. The uncertainties of parameters, activity data, and 312 formulas are propagated through the sequence of calculations. In the MCS approach, we 313 assumed that each value in the uncertainty range had equal likelihood and that there was no 314 correlation among the variables. A population of 10,000 estimates was built and ranked in S26 315 order. The median and 90% confidence intervals were reported. The LHS approach was 316 further used to calculate the uncertainties in our research. All variables were divided into 317 300 equal intervals. An ensemble of 300 sets of all parameters was selected randomly and 318 ranked in order. The mean and standard deviation (SD) were reported. The results of 319 uncertainty analysis using MCS and LHS were similar (Table S7). Hence, we discuss only 320 the result using LHS in the main text. 321 S27 322 Table S7. Climate Impact of Nr with Uncertainty Analysis in terms of GTP (Tg CO2e) 323 (a) Monte Carlo Sampling (MCS) E1 E2 Species Climate generator GTP20 Range GTP100 Range N2O NOx N2O effect Ozone-CH4 effect (Surface) (Shipping) (Aircraft) Aerosol effect 345 316 to 374 311 283 to 340 -298 -36 -9.8 -152 to -450 -53 to -23 -15 to -5.3 -12 -1.2 -0.02 -19 to -4.6 -1.8 to -0.75 -0.22 to 0.14 -97 -57 -71 8.8 -36 48 111 -164 to 41 -98 to -25 -111 to -46 5.3 to 14 -60 to -16 14 to 82 11 to 211 -0.01 -0.11 -54 0.61 -36 3.2 111 -0.01 to 0 -0.22 to -0.01 -86 to -17 0.39 to 0.9 -60 to -16 1.1 to 5.3 11 to 211 E3 E4 NOx NH3 N deposition E5 N fertilization E6 NOx 324 CO2 effect CH4 effect CO2 effect CH4 effect Ozone-CO2 effect (b) Latin Hypercube Sampling (LHS) E1 E2 Species Climate generator GTP20 SD GTP100 SD N2O NOx N2O effect Ozone-CH4 effect (Surface) (Shipping) (Aircraft) Aerosol effect 345 19 311 17 -303 -37 -9.8 153 28 3 -12 -1.2 -0.02 7.6 0.32 0.12 -97 -59 -71 9.1 -36 48 111 39 23 40 2.8 22 30 100 -0.006 -0.11 -54 0.63 -36 3.2 111 0.004 0.13 33 0.17 22 1.9 100 E3 E4 NOx NH3 N deposition E5 N fertilization E6 NOx CO2 effect CH4 effect CO2 effect CH4 effect Ozone-CO2 effect 325 S28 326 327 Projection of the Impact of Nr on Climate Change The scientific projection of future climate change is one important work of the IPCC. 328 The IPCC Special Report on Emission Scenarios (SRES) create major GHG emission 329 scenarios based on specific economic, social and environmental objectives101. According to 330 “storyline” approach used in the IPCC SRES, we establish a new set of scenarios to project 331 the climate effect of Nr based on emissions. Projections depend on many different driving 332 forces, including driver-oriented and effect-oriented factors. N2O and NH3 emissions are 333 strongly related to N fertilizer application and manure management, along with their use 334 efficiencies. N use efficiency of cropland in China was relatively low, only 23.5% in 335 2005100; thus, increasing N use efficiency as a driver-oriented factor has a great potential for 336 mitigating Nr emissions. NOx emission is related to energy structure and combustion 337 technology. In China’s “Twelfth Five-Year Plan” for energy saving and emission reduction 338 working plan, “denitration” has been added as a constraint index; thus, NOx reduction can 339 be regarded as an effect-oriented factor. Based on the above analysis, we set up three 340 scenarios to depict future climate change (Table S8). The situation in 2005 was used as the 341 reference, and those in 2020 and 2050 as the target years. (i) SRES I–Business as usual 342 (BAU) scenario is based on the assumption that Nr emissions and Nr addition will maintain 343 the increase rate of 2000–2005 with no change. (ii) SRES II–Improvement scenario, is built 344 on the assumption that the N use efficiency of cropland will increase by 20% in 2020102 and 345 another 20% in 2050, which approaches the level of developed countries103. Accordingly, 346 the N input will decrease 46% and 63% in 2020 and 2050, respectively. In this situation, S29 347 both the N2O and NH3 emissions from the agricultural soils will decrease at the same rate. 348 (iii) SRES III-Abatement scenario is built on the assumption of total quantity control for 349 NOx in 2020 and an improved NOx removal rate in 2050, respectively. The situation in 2020 350 is designed to further cut 10% of NOx emission on the basis of the reduction target of the 351 “Twelfth Five-Year Plan” namely 5.61 Tg N, while the situation in 2050 assumes that the 352 nationwide NOx removal rate (i.e., the denitration level) reaches 80%. It should be noted 353 that the N addition level and the chemical form of N addition influence the direction and 354 magnitude of GHG fluxes79. For the Chinese terrestrial ecosystem, the relative contribution 355 rate of N addition on C sequestration decreased from 73% to 64% during 1960 and 200582; 356 in addition, the ratio of NCE to N deposition increased with time and peaked in the 357 mid-1980s, then leveled off or declined because more areas have reached N saturation84. For 358 Chinese fertilized cropland, the C sequestration rate also represented a declining trend 359 during 1980–200588. Particularly, the N fertilizer application showed a limited potential of 360 C sequestration compared with other measures, including tillage and straw return87. 361 Therefore, if the increasing N addition trend continues without taking any action, the 362 N-induced C sequestration potential can be assumed to decline 50% in 2020 and approach 363 zero in 2050. Recently, the Representative Concentration Pathway (RCP) are widely viewed 364 as the next iteration of SRES, with four scenarios based on different RF levels (RCP 2.6, 4.5, 365 6.0 and 8.5) rather than emissions104. The detailed Nr emission and Nr enrichment data of 366 China under the RCP scenarios are derived from the online RCP inventory 367 (http://eccad.sedoo.fr/eccad_extract_interface/JSF/page_login.jsf ) and database S30 368 369 (http://tntcat.iiasa.ac.at:8787/RcpDb/dsd?Action=htmlpage&page=welcome). Table S8. Parameter Setting in Scenario Analysis for the Years of 2020 and 2050 Item Gaseous Nr emission (Tg N) N2O NOx NH3 Scenario SRES I: BAU scenario SRES II: Improvement scenario SRES III: Abatement scenario RCP2.6 RCP4.5 RCP6.0 RCP8.5 Description Value 2020 Value 2050 Description Value 2020 Value 2050 Description Value 2020 Value 2050 Description Value 2020 Value 2050 Description Value 2020 Value 2050 Description Value 2020 Value 2050 Description Value 2020 Value 2050 Nr enrichment (Tg N) N N deposition fertilizer Business as usual 1.44 10.2 12.4 22.5 2.07 19.9 17.1 37 Driver-oriented: enhancing N use efficiency a 0.87 10.2 6.69 16.8 0.95 19.9 6.33 26.2 Effect-oriented: reducing NOx emission b 1.44 5.61 12.4 18.0 2.07 3.98 17.1 21.1 2 RF level at 2.6 w/m 1.26 3.64 4.7 8.34 1.58 1.52 8.46 9.98 2 RF level at 4.5 w/m 1.28 3.53 4.24 7.77 1.31 1.13 6.84 7.97 2 RF level at 6.0 w/m 1.19 3.43 3.7 7.13 1.03 5.02 5.9 10.9 2 RF level at 8.5 w/m 1.39 5.41 5.44 10.9 1.85 2.32 10.6 12.9 39.0 45.6 21.1 16.9 39.0 45.6 14.8 26.6 13.4 21.5 11.7 18.6 17.1 33.3 370 a N use efficiency represents the ratio of crop harvest N to N applied to cropland; 371 b based on the policy target of China. 372 S31 373 Supplementary Information References 374 1 375 376 UNEP. Drawing Down N2O to Protect Climate and the Ozone Layer. (Nairobi, Kenya, 2013). 2 Erisman, J. W., Galloway, J., Seitzinger, S., Bleeker, A. & Butterbach-Bahl, K. Reactive 377 nitrogen in the environment and its effect on climate change. Curr Opin Env Sust 3, 378 281-290 (2011). 379 3 Galloway, J. N. et al. The nitrogen cascade. Bioscience 53, 341-356 (2003). 380 4 IPCC. Climate Change 2001: The Scientific Basis. (Cambridge Univ Press, 381 382 Cambridge, UK, 2001). 5 Zaehle, S. & Dalmonech, D. Carbon-nitrogen interactions on land at global scales: 383 current understanding in modelling climate biosphere feedbacks. Curr Opin Env Sust 3, 384 311-320 (2011). 385 6 386 387 NOx emissions. Geophys Res Lett 28, 1719-1722 (2001). 7 388 389 IPCC. Climate Change 2007: the Physical Science Basis. Changes in atmospheric constituents and in radiative forcing. (Cambridge Univ Press, Cambridge, UK, 2007). 8 390 391 Wild, O., Prather, M. J. & Akimoto, H. Indirect long-term global radiative cooling from Chen, W. T. et al. Global climate response to anthropogenic aerosol indirect effects: Present day and year 2100. J Geophys Res-Atmos 115. D12207 (2010). 9 Leibensperger, E. M. et al. Climatic effects of 1950-2050 changes in US anthropogenic 392 aerosols - Part 1: Aerosol trends and radiative forcing. Atmos Chem Phys 12, 393 3333-3348 (2012). S32 394 395 396 397 398 399 10 Pinder, R. W. et al. Climate change impacts of US reactive nitrogen. P Natl Acad Sci USA 109, 7671-7675 (2012). 11 Fuglestvedt, J. S. et al. Metrics of climate change: Assessing radiative forcing and emission indices. Climatic Change 58, 267-331 (2003). 12 IPCC. Climate Change 1990: The Intergovernmental Panel on Climate Change Scientific Assessment (Cambridge Univ. Press, Cambridge, UK, 1990). 400 13 Shine, K. P., Fuglestvedt, J. S., Hailemariam, K. & Stuber, N. Alternatives to the global 401 warming potential for comparing climate impacts of emissions of greenhouse gases. 402 Climatic Change 68, 281-302 (2005). 403 404 405 406 407 408 409 410 411 14 Manne, A. S. & Richels, R. G. An alternative approach to establishing trade-offs among greenhouse gases. Nature 410, 675-677 (2001). 15 Smith, S. J. & Wigley, M. L. Global warming potentials: 1. Climatic implications of emissions reductions. Climatic Change 44, 445-457 (2000). 16 Volz, A. & Kley, D. Evaluation of the Montsouris series of ozone measurements made in the nineteenth century. Nat Geosci 332, 240-242 (1988). 17 Gauss, M. et al. Radiative forcing since preindustrial times due to ozone change in the troposphere and the lower stratosphere. Atmos Chem Phys 6, 575-599 (2006). 18 Derwent, R. G., Collins, W. J., Johnson, C. E. & Stevenson, D. S. Transient behaviour 412 of tropospheric ozone precursors in a global 3-D CTM and their indirect greenhouse 413 effects. Climatic Change 49, 463-487 (2001). 414 19 Shine, K. P., Berntsen, T. K., Fuglestvedt, J. S. & Sausen, R. Scientific issues in the S33 415 design of metrics for inclusion of oxides of nitrogen in global climate agreements. P 416 Natl Acad Sci USA 102, 15768-15773 (2005). 417 20 Shindell, D. T., Faluvegi, G., Bell, N. & Schmidt, G. A. An emissions-based view of 418 climate forcing by methane and tropospheric ozone. Geophys Res Lett 32. L04803 419 (2005). 420 421 422 423 21 Fuglestvedt, J. S., Isaksen, I. S. A. & Wang, W. C. Estimates of indirect global warming potentials for CH4, CO and NOx. Climatic Change 34, 405-437 (1996). 22 Berntsen, T. K. et al. Response of climate to regional emissions of ozone precursors: sensitivities and warming potentials. Tellus B 57, 283-304 (2005). 424 23 Naik, V. et al. Net radiative forcing due to changes in regional emissions of 425 tropospheric ozone precursors. J Geophys Res-Atmos 110. D24306 (2005). 426 427 428 429 430 431 432 433 434 435 24 Fuglestvedt, J. S. et al. Transport impacts on atmosphere and climate: Metrics. Atmos Environ 44, 4648-4677 (2010). 25 Collins, W. et al. Global and regional temperature-change potentials for near-term climate forcers. Atmos Chem Phys 13, 2471-2485 (2013). 26 Bauer, S. E. et al. Nitrate aerosols today and in 2030: a global simulation including aerosols and tropospheric ozone. Atmos Chem Phys 7, 5043-5059 (2007). 27 Shindell, D. T. et al. Improved Attribution of Climate Forcing to Emissions. Science 326, 716-718 (2009). 28 Boucher, O., Friedlingstein, P., Collins, B. & Shine, K. P. The indirect global warming potential and global temperature change potential due to methane oxidation. Environ S34 436 437 438 Res Lett 4 (2009). 29 Chen, G. & Zhang, B. Greenhouse gas emissions in China 2007: Inventory and input-output analysis. Energ Policy 38, 6180-6193 (2010). 439 30 Li, L., Xu, J. H., Hu, J. X. & Han, J. R. Reducing Nitrous Oxide Emissions to Mitigate 440 Climate Change and Protect the Ozone Layer. Environ Sci Technol 48, 5290-5297 441 (2014). 442 443 31 SDRC. The People's Republic of China National Greenhouse Gas Inventory. (Chinese Environment Science Press, 2014). 444 32 Wang, Y. X. et al. Seasonal variability of NOx emissions over east China constrained by 445 satellite observations: Implications for combustion and microbial source. Journal of 446 Geophysical Research 112, D06301 (2007). 447 448 449 33 Ohara, T. et al. An Asian emission inventory of anthropogenic emission sources for the period 1980-2020. Atmos Chem Phys 7, 4419-4444 (2007). 34 Sun, Q. H., Lu, Y. Q., Fu, L. X., Tian, H. Z. & Hao, J. M. Adjustment on NOx emission 450 factors and calculation of NOx emissions in China in the year 2000. Tech Equip Environ 451 Poll Control, 5, 90-94 (2004). 452 453 35 Huang, X. et al. A high-resolution ammonia emission inventory in China. Global Biogeochem Cy 26, GB1030 (2012). 454 36 Streets, D. G. et al. An inventory of gaseous and primary aerosol emissions in Asia in 455 the year 2000. Journal of Geophysical Research: Atmospheres 108, 8809 (2003). 456 37 Wang, S., Liao, J. & Hu, Y. A preliminary inventory of NH3-N emission and its S35 457 temporal and spatial distribution of China. Agro-Environ. Sci. 28, 616-629 (2009). 458 38 Liu, X. J. & Zhang, F. S. Nutrient from environment and its effect in nutrient resources 459 management of ecosystems: a case study on atmospheric nitrogen deposition. Arid 460 Zone Research 26, 306-311 (2009). 461 39 Liu, X. J., Song, L., He, C. E. & Zhang, F. S. Nitrogen deposition as an important 462 nutrient from the environment and its impact on ecosystems in China. J Arid Land 2, 463 137-143 (2010). 464 40 Huang, L. M., Yang, J. P. & Zhang, G. L. Nitrogen budgets and source-sink 465 characteristics of watershed in the Hilly Area of subtropical China. Environmental 466 Science 31, 2981-2987 (2010). 467 468 469 470 41 Zhang, Y. et al. Spatial and temporal variation of atmospheric nitrogen deposition in the North China Plain. Acta Ecologica Sinica 26, 1633-1639 (2006). 42 Lin, Y. et al. Contribution of simulated nitrogen deposition to forest soil acidification in area with high sulfur deposition. Environmental Science 28, 640-646 (2007). 471 43 Fan, H. B. et al. Tree growth and soil nutrients in response to nitrogen deposition in a 472 subtropical Chinese fir plantation. Acta Ecologica Sinica 27, 4630-4642 (2007). 473 44 Zheng, X. H., Han, S. H., Huang, Y., Wang, Y. S. & Wang, M. X. Re-quantifying the 474 emission factors based on field measurements and estimating the direct N2O emission 475 from Chinese croplands. Global Biogeochemical Cycles 18, GB2018 (2004). 476 477 45 Chen, N. W., Hong, H. S. & Zhang, L. P. Preliminary results concerning the spatio-temporal pattren and mechanism of nitrogen sources and exports in the Jiulong S36 478 479 River watershed. Acta Scientiae Circunstaniae 29, 831-840 (2009). 46 Yao, H., Lu, J. H., Cai, L. Q., Dong, B. & Zhang, R. Z. Response of the degraded 480 grassland vegetation characteristics to different fertilizer treatments at Maqu county. 481 Journal of Gansu Agricultural University 44, 127-131 (2009). 482 47 Shen, Z. X., Chen, Z. Z., Zhou, X. M. & Zhou, H. K. Responses of plant groups, 483 diversity and meadow quality to high-rate N fertilization on alpine Kobresia humilis 484 community. Acta Agrestia Sinica 10, 7-17 (2002). 485 48 Zhou, G. Y. & Yan, J. H. The influence of region atmospheric precipitation 486 characteristics and its element inputs on the existence and development of Dinghushan 487 forest ecosystems. Acta Eclogica Sinica 21, 2002-2012 (2001). 488 49 Xu, G. L., Mo, J. M., Zhou, G. Y. & Xue, J. H. Litter decomposition under N deposition 489 in Dinghushan forests and its relationship with soil fauna. Ecology and Environment 490 14, 901-907 (2005). 491 50 Chen, X. Y. & Mulder, J. Atmospheric deposition of nitrogen at five subtropical 492 forested sites in South China. Science of the Total Environment 378, 317-330 (2007). 493 51 Chen, Z. Y., Li, K. M., Lin, W. S. & Liu, A. P. Atmospheric dry and wet deposition of 494 nitrogen and phosphorus in the Pearl River Estuary. Environment Pollution and Control 495 32, 53-57 (2010). 496 497 498 52 Zhang, Y. et al. Evidence for organic N deposition and its anthropogenic sources in China. Atmospheric Environment 42, 1035-1042 (2008). 53 Sun, Z. G., Liu, J. S. & Wang, J. D. Study on nitrogen concentration and deposition S37 499 amount in wet deposition in typical wetland ecosystem in Sanjiang Plain. System 500 Sciences and Comprehensive Studies in Agriculture 23, 114-120 (2007). 501 502 54 Xiao, H. Y. Effects of different land-use types on nitrogen balance in three gorges reservoir area of China, Huazhong Agricultural University, (2007). 503 55 Du, C. Y. Research on the atmospheric depostion characteristics and the ecology 504 response to acid deposition in Shaoshan subtropical forest, Central-south China, 505 Human University, (2010). 506 56 Bai, Y. F. et al. Tradeoffs and thresholds in the effects of nitrogen addition on 507 biodiversity and ecosystem functioning: evidence from Inner Mongolia grasslands. 508 Global Change Biology 16, 358-372 (2010). 509 57 Shan, D. The Effects of Experimental Warming and Nitrogen Addition on Plant 510 Community and Soil in Desert Steppe, Inner Mongolia Agricultural University, Hohhot, 511 (2008). 512 58 Yang, R., Kentaro, H., Zhu, B., Li, F. Y. & Yan, X. Y. Atmospheric NH3 and NO2 513 concentration and nitrogen deposition in an agricultural catchment of Eastern China. 514 Science of the Total Environment 408, 4624-4632 (2010). 515 59 Liu, T., Yang, L. Y., Hu, Z. X. & Sun, Y. N. Spatial-temporal features of atmospheric 516 deposition of ntirogen and phosphorus to the Lake Taihu. Administration and Technique 517 of Environmental Monitoring 24, 20-42 (2012). 518 60 Du, W. Balance and loading of cropland nitrogen in a typical rice-based agricultural 519 watershed of Yangtze River Delta region, Nanjing Agricultural University, (2010). S38 520 521 522 523 524 61 Zhou, J., Cui, J., Wang, G. Q. & Ma, Y. H. Nitrogen balance and cycling in pasture ecosystem in South China. Soils 40, 386-391 (2008). 62 Mo, J. et al. Nitrogen addition reduces soil respiration in a mature tropical forest in southern China. Global Change Biol 14, 403-412 (2008). 63 Zhou, W. Study on seasonal and annual changes of nitrogen deposition of Dagang 525 Mountain Phyllostachys forest ecosystem, Agricultural University of Inner Mongolia, 526 (2010). 527 528 529 64 Wen, B. Y. et al. The relationship between soil acidification and nitrogen inputs in the Poyang Lake area, Jiangxi Province, China. Geoscience 25, 562-568 (2011). 65 Zhao, Y. T., Li, X. F., Han, S. J. & Hu, Y. L. Soil enzyme activities under two forest 530 types as affected by different levels of nitrogen deposition. Chinese Journal of Applied 531 Ecology 19, 2769-2773 (2008). 532 66 Cheng, J. M., Jia, H. Y. & Peng, X. L. Study on vegetation community structure and its 533 succession on fertilization grassland. Research of Soil and Water Conservation 3, 534 124-128 (1996). 535 67 Zhou, G. Y. et al. Comparative research on the influence of chemical fertilizer 536 application and enclosure on alpine steppes in the Qinghai Lake area: I. Structure and 537 species diversity of the plant community. Acta Prataculturae Sinica 13, 26-31 (2004). 538 68 Yu, L. M. Study on atmospheric deposition of inorganic nitrogen in Qingdao and over 539 540 China sea, Chinese Marine University, (2007). 69 Zhou, J. C., Shi, G. T., Chen, Z. L., Bi, C. J. & Xu, S. Y. Contamination characteristic of S39 541 nitrogen in rainwater of Shanghai. Environment Pollution and Control 31, 30-34 542 (2009). 543 544 545 546 70 Wei, Y. et al. Atmospheric dry and wet nitrogen deposition in typical agricultural areas of North Shannxi. Chinese Journal of Applied Ecology 21, 255-259 (2010). 71 Wang, Z. H. Atmospheric deposition and it's chemic consititute in Loess Plateau., Northwest Agriculture and Forest University, (2008). 547 72 Song, X. G. et al. Responses of litter decomposition and nutrient release to simulated 548 nitrogen deposition in an evergreen broad-leaved forest in southwestern Sichuan. 549 Chinese Journal of Applied Ecology 18, 2167-2172 (2007). 550 551 552 73 Jia, J. Y. Study of atmospheric wet deposition of nitrogen in Tibetan Plateau, Tibet University, (2008). 74 Zhang, Y. D., Shen, Y. X. & Liu, W. R. Fertilization effects of N, P on a grass 553 community at the dry valley of Jinsha River. Bulletin of Botanical Research 24, 59-64 554 (2004). 555 75 Zhang, F. Atmospheric deposition of nitrogen and phosphorus and its contribution in 556 the regional nutrients circulation in Changle River watershed, Zhejiang University, 557 (2011). 558 76 Khan, S. A., Mulvaney, R. L., Ellsworth, T. R. & Boast, C. W. The myth of nitrogen 559 fertilization for soil carbon sequestration. J Environ Qual 36, 1821-1832 (2007). 560 77 Bodelier, P. L. E. & Laanbroek, H. J. Nitrogen as a regulatory factor of methane 561 oxidation in soils and sediments. Fems Microbiol Ecol 47, 265-277 (2004). S40 562 78 Mosier, A. et al. Closing the global N2O budget: nitrous oxide emissions through the 563 agricultural nitrogen cycle - OECD/IPCC/IEA phase II development of IPCC 564 guidelines for national greenhouse gas inventory methodology. Nutr Cycl Agroecosys 565 52, 225-248 (1998). 566 79 Liu, L. L. & Greaver, T. L. A review of nitrogen enrichment effects on three biogenic 567 GHGs: the CO2 sink may be largely offset by stimulated N2O and CH4 emission. Ecol 568 Lett 12, 1103-1117 (2009). 569 80 Lu, C., Tian, H., Xu, X., Liu, M. & Ren, W. Global greenhouse gas balance induced by 570 nitrogen addition: Modeling annual fluxes of CO2, CH4 and N2O from 1948 to 2008. 571 American Geophysical Union, Fall Meeting 2010, abstract #B31A-0285 (2010). 572 81 Meng, X. N., Zhao, Y. S., Zheng, L. & Ni, H. W. Response of Greenhouse Gas 573 Emissions to Nitrogen Deposition in Terrestrial Ecosystem. Adv Mater Res-Switz 574 518-523, 485-489 (2012). 575 576 577 578 579 580 581 582 82 Tian, H. Q. et al. China's terrestrial carbon balance: Contributions from multiple global change factors. Global Biogeochem Cy 25. GB1007 (2011). 83 Piao, S. L. et al. The carbon balance of terrestrial ecosystems in China. Nature 458, 1009-U1082 (2009). 84 Lu, C. Q. et al. Effect of nitrogen deposition on China's terrestrial carbon uptake in the context of multifactor environmental changes. Ecol Appl 22, 53-75 (2012). 85 Ciais, P., Bousquet, P., Freibauer, A. & Naegler, T. Horizontal displacement of carbon associated with agriculture and its impacts on atmospheric CO2. Global Biogeochem Cy S41 583 584 585 586 587 588 589 21. GB2014 (2007). 86 Tian, H. Q. et al. Food benefit and climate warming potential of nitrogen fertilizer uses in China. Environ Res Lett 7 (2012). 87 Lu, F. et al. Soil carbon sequestrations by nitrogen fertilizer application, straw return and no-tillage in China's cropland. Global Change Biol 15, 281-305 (2009). 88 Ren, W. et al. Spatial and temporal patterns of CO2 and CH4 fluxes in China's croplands in response to multifactor environmental changes. Tellus B 63, 222-240 (2011). 590 89 Holland, E. A. et al. Variations in the predicted spatial distribution of atmospheric 591 nitrogen deposition and their impact on carbon uptake by terrestrial ecosystems. J 592 Geophys Res-Atmos 102, 15849-15866 (1997). 593 90 Townsend, A. R., Braswell, B. H., Holland, E. A. & Penner, J. E. Spatial and temporal 594 patterns in terrestrial carbon storage due to deposition of fossil fuel nitrogen. Ecol Appl 595 6, 806-814 (1996). 596 597 598 91 Magill, A. H. et al. Biogeochemical response of forest ecosystems to simulated chronic nitrogen deposition. Ecol Appl 7, 402-415 (1997). 92 Tian, H. Q. et al. Net exchanges of CO2, CH4, and N2O between China's terrestrial 599 ecosystems and the atmosphere and their contributions to global climate warming. J 600 Geophys Res-Biogeo 116. GB2011 (2011). 601 93 Fang, J., Guo, Z., Piao, S. & Chen, A. Terrestrial vegetation carbon sinks in China, 602 1981-2000. Science in China Series D: Earth Sciences 50, 1341-1350 (2007). 603 94 Huang, Y. & Sun, W. Changes in topsoil organic carbon of croplands in mainland China S42 604 605 over the last two decades. Chinese Science Bulletin 51, 1785-1803 (2006). 95 Piao, S., Fang, J., Zhou, L., Tan, K. & Tao, S. Changes in biomass carbon stocks in 606 China's grasslands between 1982 and 1999. Global Biogeochem Cy 21. GB2002 607 (2007). 608 609 610 611 612 613 614 615 616 96 Vitousek, P. M. & Howarth, R. W. Nitrogen Limitation on Land and in the Sea - How Can It Occur. Biogeochemistry 13, 87-115 (1991). 97 Vitousek, P. M. et al. Human alteration of the global nitrogen cycle: Sources and consequences. Ecol Appl 7, 737-750 (1997). 98 Hungate, B. A., Dukes, J. S., Shaw, M. R., Luo, Y. Q. & Field, C. B. Nitrogen and climate change. Science 302, 1512-1513 (2003). 99 Reay, D. S., Dentener, F., Smith, P., Grace, J. & Feely, R. A. Global nitrogen deposition and carbon sinks. Nat Geosci 1, 430-437 (2008). 100 Cui, S. H., Shi, Y. L., Groffman, P. M., Schlesinger, W. H. & Zhu, Y. G. 617 Centennial-scale analysis of the creation and fate of reactive nitrogen in China 618 (1910-2010). P Natl Acad Sci USA 110, 2052-2057 (2013). 619 101 IPCC. IPCC expert meeting report on emission scenarios. (Washington DC, 2005). 620 102 Sutton, M. A. et al. Our Nutrient World: The Challenge to Produce More Food and 621 622 Energy With Less Pollution. 114 (Centre for Ecology and Hydrology, Edinburgh, 2013). 103 Zou, J. W., Lu, Y. Y. & Huang, Y. Estimates of synthetic fertilizer N-induced direct 623 nitrous oxide emission from Chinese croplands during 1980-2000. Environ Pollut 158, 624 631-635 (2010). S43 625 626 104 van Vuuren, D. P. et al. The representative concentration pathways: an overview. Climatic Change 109, 5-31 (2011). 627 S44