Progressive nitrogen limitation across the Tibetan alpine permafrost region

The ecosystem carbon (C) balance in permafrost regions, which has a global significance in understanding the terrestrial C-climate feedback, is significantly regulated by nitrogen (N) dynamics. However, our knowledge on temporal changes in vegetation N limitation (i.e., the supply of N relative to plant N demand) in permafrost ecosystems is still limited. Based on the combination of isotopic observations derived from a re-sampling campaign along a ~3000 km transect and simulations obtained from a process-based biogeochemical model, here we detect changes in ecosystem N cycle across the Tibetan alpine permafrost region over the past decade. We find that vegetation N limitation becomes stronger despite the increased available N production. The enhanced N limitation on vegetation growth is driven by the joint effects of elevated plant N demand and gaseous N loss. These findings suggest that N would constrain the future trajectory of ecosystem C cycle in this alpine permafrost region. Massive stores of carbon and nutrients in permafrost could be released by global warming. Here the authors show that though warming across the Tibetan alpine permafrost region accelerates nitrogen liberation, contrary to expectations the elevated nutrients do not alleviate plant nitrogen limitation.

P ermafrost regions store more than 1300 Pg (1 Pg = 10 15 g) carbon (C, ca. 43% of the global soil organic C storage) iñ 15% of the global land area 1,2 . During the past decades, permafrost regions have experienced two times faster climate warming compared with the rest of Earth's areas 3,4 , which has triggered extensive permafrost thaw 1,4 . Consequently, large amounts of C stored in permafrost regions may be emitted into the atmosphere as carbon dioxide (CO 2 ) and methane (CH 4 ) because of the accelerated microbial decomposition [5][6][7] , potentially aggravating global warming through the positive C-climate feedback 4 . However, permafrost regions may still appear as a C sink due to the enhanced vegetation productivity under both the current and near-future climate scenarios 8,9 . These uncertainties in ecosystem C balance across permafrost regions could be partly ascribed to ecosystem nitrogen (N) dynamics, especially changes in the status of N limitation on vegetation under changing environment [8][9][10] . Vegetation N limitation is characterized as the lower supply of N to plants relative to their N demand and jointly determined by the provision of available N and plant N requirement [11][12][13] . In general, the greater the vegetation N limitation is, the less C vegetation would sequester and the more likely permafrost ecosystems function as a C source; on the contrary, permafrost ecosystems would tend to act as a C sink 8,14 . Consistent with this conceptual understanding, ecosystem C stock simulated with a C-N model configuration could be~35 Pg lower than that simulated with a C-only configuration across the circumpolar permafrost region in 2300 8 . Therefore, deeper exploration of ecosystem N dynamics in permafrost regions is imperative to better predict permafrost C cycle and its feedback to climate warming.
During the last decade, the global change research community has paid great attention to the site-level dynamics of available N supply to plants in permafrost ecosystems [15][16][17][18][19][20] . Based on these efforts, an enhanced supply of plant-available N derived from the accelerated N mineralization or the release of originally frozen available N is observed with climate warming or permafrost thaw [15][16][17][18][19][20] . In addition, there are also studies that reveal increased plant productivity 17,21 or enhanced plant N pool 17 in permafrost ecosystems, reflecting an elevated plant N demand under environmental changes. These studies have advanced our understanding on both the dynamics of available N supply and plant N demand in permafrost regions. However, little is known about the dynamics of N supply relative to plant N demand across permafrost regions, especially over the broad geographic scale. This knowledge gap constrains our understanding on the status of vegetation N limitation and prevents an accurate prediction of the direction and magnitude of permafrost C-climate feedback.
To fill the knowledge gap mentioned above, we conducted a large-scale repeated sampling during the 2000s and the 2010s along a~3000 km transect on the Tibetan Plateau ( Fig. 1 and Supplementary Fig. 1), the largest alpine permafrost region around the world 22 , which has experienced fast warming, elevated atmospheric CO 2 concentration ( Supplementary Fig. 2) and extensive permafrost thaw as other permafrost regions 4,23 . The initial field campaign that investigated 135 sites across the study area was carried out during the period 2001~2004, while the revisited field campaign that covered 107 of the original 135 sites was performed during the period of 2013~2014 (Fig. 1). For each paired sampling sites, the investigation methods are identical (see details in "Methods" section). Based on the collected samples during the two sampling campaigns, plant δ 15 N and bulk soil δ 15 N (i.e., δ 15 N of total inorganic and organic N pools in the soil) were measured to characterize changes in ecosystem N cycle in this alpine permafrost region. To further explore ecosystem N dynamics, N cycling processes were simulated for each resampling site with a process-based biogeochemical model-DeNitrification-DeComposition (DNDC) 24,25 . With all the obtained measurements and simulations, this study aims to examine the temporal changes in ecosystem N cycle, especially vegetation N limitation across the Tibetan alpine permafrost region over the last decade. We find that plant growth becomes more N-limited in this alpine permafrost region despite the enhanced provision of plant-available N.

Results and discussion
Decreased plant δ 15 N over time. Over the past decade, neither mean annual precipitation (MAP; Supplementary Fig. 2) nor atmospheric N deposition (Supplementary Figs. 2 and 3) experienced significant changes, whereas both mean annual air temperature (MAAT) and atmospheric CO 2 concentration significantly increased (P < 0.05; Supplementary Fig. 2) across the Tibetan alpine permafrost region. Under these environmental changes, plant δ 15 N across this alpine permafrost region significantly decreased during the period from the 2000s to the 2010s (median in the 2000s: 1.3‰, median in the 2010s: 1.0‰, P < 0.001; Fig. 2a, b). On average, the absolute changing rate in plant δ 15 N was −0.02‰ per year (within the range of −0.043− 0.016‰ per year globally 13 ) and the relative changing rate was −1.7% per year. Further analyses revealed that plant δ 15 N tended to decrease among 73 of the total 107 resampling sites and the decline in plant δ 15 N remained significant until >74 resampling sites were removed from the initial analysis with 107 resampling sites ( Supplementary Fig. 4), demonstrating the robustness of isotopic dynamics observed in this study.
Changes in plant δ 15 N could be associated with multiple reasons, such as shifts in vegetation community, atmospheric N deposition, biological N fixation and plant N uptake through root or mycorrhizae [26][27][28][29] . However, both vegetation community (Supplementary Figs. 5-7 and Supplementary Note 1) and atmospheric N deposition (both rate and δ 15 N; Supplementary Figs. 2 and 3) were stabilized over the two sampling periods, and thus had limited effects on the plant δ 15 N dynamics observed in this study. Moreover, despite biological N fixation increased over the last decade (P < 0.001; Fig. 3), it should not be the main reason for the decrease in plant δ 15 N, as plant δ 15 N also significantly decreased among the investigated sites without Leguminosae (P < 0.05; Supplementary Fig. 8). In addition, plant N uptake through roots could elevate rather than diminish plant δ 15 N, because bulk soil δ 15 N increased over the detection period (P < 0.01; Fig. 4) and the fractionation of N isotopes was minimal during root N uptake in natural ecosystems [29][30][31] . In contrast to root N uptake, plant N uptake through mycorrhizae can decrease plant δ 15 N given: (i) the transfer of 15 N-deleted N to plants by mycorrhizae 13,26,28,29 ; (ii) the crucial role of mycorrhizae in supplying N to plants under N-limited conditions 13,28,31,32 ; (iii) the widespread distribution of plants associated with mycorrhizae 33 across the 107 resampling sites; (iv) the potentially enhanced mycorrhizal colonization (Supplementary Fig. 9 and Supplementary Note 2) driven by the two major environmental changes on the Tibetan Plateau (CO 2 enrichment and climate warming, Supplementary Fig. 2). Nevertheless, besides N limitation, other factors especially phosphorus (P) limitation and water stress could also make plants to invest more to mycorrhizae 31,34,35 . However, soil N : P ratio in the top 10 cm across the study area significantly decreased over the detection period (P < 0.01; Supplementary Fig. 10), indicating that N rather than P limitation was more likely to reduce plant δ 15 N via mycorrhizae. Moreover, topsoil moisture across the study area did not exhibit significant change over the detection period (Supplementary Figs. 11 and 12, and Supplementary Note 3), reflecting the minimal effect of water stress on the plant δ 15 N dynamics. Taken together, of all the factors considered, an enhancement in reliance on mycorrhizae for N acquisition could be the plausible reason for the decreased plant δ 15 N observed in this study.
As a widely used indicator to reflect the supply of N relative to plant N demand, a lower plant δ 15 N generally represents an elevated N limitation 12,13,26,27,36,37 . Due to this point, the decreased plant δ 15 N observed in this study suggests enhanced vegetation N limitation across the Tibetan alpine permafrost region over the last decade. To further demonstrate this point, we conducted a historical simulation from 1980 to 2015 for the 107 resampling sites with the DNDC model and acquired an indicator (plant N stress index) that represented the supply of N relative to plant demand [38][39][40] . The lower the plant N stress value is, the greater the vegetation N limitation is [38][39][40] . Our results showed that the plant N stress index significantly decreased during the past decades (P < 0.001; Fig. 2c), confirming the enhancement of vegetation N limitation across the study area. Besides the plant N stress index, we also explored the dynamics of available N production by analyzing changes in the simulated annual rates of soil N mineralization and biological N fixation. In contrast to the plant N stress index, these two processes were significantly accelerated during the period between the 2000s and the 2010s (P < 0.001; Fig. 3), indicating the enhanced production of available N across the study area. Collectively, these results highlighted that vegetation N limitation became stronger across the Tibetan alpine permafrost region during the past decade despite the increased production of available N.
Enhanced plant N demand under changing environment. The enhancement of vegetation N limitation could be associated with increases in plant N demand 41 . To illustrate this point, we detected the changes in indicators characterizing plant N demand derived from the DNDC simulations, including plant N pool and annual plant N uptake rate. Results showed that both indicators significantly increased during the last decade (P < 0.001; Fig. 3), indicating that increased plant N demand could promote vegetation N limitation across the Tibetan alpine permafrost region. Based on the factorial analysis conducted through the DNDC model, we further disentangled the effects of environmental changes on plant N pool and annual plant N uptake rate. Our results illustrated that climate warming and CO 2 enrichment played dominant roles in elevating these two parameters, highlighting their crucial effects on stimulating plant N demand (Supplementary Fig. 13a-d). Of them, climate warming can enhance vegetation productivity and subsequent plant N demand by accelerating plant metabolic activity and extending growing season length 36 , while CO 2 enrichment can improve plant N demand through its fertilization effect 11,42 . In support of this interpretation, large amounts of evidences have revealed earlier growing season 43,44 , larger vegetation productivity 43,45 and continuous ecosystem C sink 45,46 across the Tibetan alpine permafrost region during the past decades.
Increased ecosystem N loss induced by environmental change. The enhancement of vegetation N limitation could also be linked with processes that tend to decrease the supply of available N to plant growth 41 . To demonstrate this point, we examined changes in ecosystem N loss (gaseous N loss and leaching N loss) derived from the DNDC simulations. Our results showed that annual total ecosystem N loss rate significantly increased during the period from the 2000s to the 2010s (P < 0.001; Fig. 3) and the enhancement in total ecosystem N loss was largely due to the significant increase in gaseous N loss (P < 0.001; Fig. 3). The increase in gaseous N loss has potentials to reduce the supply of N relative to plant N demand and hence tends to induce the enhanced vegetation N limitation. Based on the factorial analysis conducted in the DNDC model, we found that climate warming was the major driver of the increased gaseous N loss over the past decade ( Supplementary Fig. 13e, f). Ecologically, climate warming can promote gaseous N loss through (i) enhancing the production of available N substrates 47,48 for nitrification and denitrification by stimulating microbial biomass or activity 49,50 , (ii) improving the supply of C for nitrifiers and denitrifiers by increasing root exudations 24,25 and (iii) accelerating the diffusion of gaseous N generated by nitrification and denitrification processes 51 . Moreover, CO 2 enrichment can also stimulate gaseous N loss (Supplementary Fig. 13e, f), probably due to the enhancement in soil biological activity or labile C availability under elevated CO 2 52 .
Besides climate warming and CO 2 enrichment, soil moisture is known as another key factor regulating ecosystem gaseous N loss 47 , however, topsoil moisture across the study area experienced no significant change over the detection period (Supplementary Figs. 11 and 12, and Supplementary Note 3) and did not exhibit significant association with the simulated gaseous N loss (Supplementary Fig. 14 and Supplementary Note 3), indicating its limited effect on the increased gaseous N loss across the study area.
Elevated bulk soil δ 15 N between the sampling interval. The increase in both plant N demand and ecosystem external N loss was confirmed by the increases in bulk soil δ 15 N observed in this study, which was a comprehensive indicator of ecosystem N cycle 29,53,54 . To be specific, our results showed that bulk soil δ 15 N in the top 10 cm across the Tibetan alpine permafrost region significantly increased during the period 2000s~2010s (median in the 2000s: 5.2‰, median in the 2010s: 5.8‰, P < 0.01; Fig. 4). The absolute changing rate of bulk soil δ 15 N was 0.05‰ per year and the relative changing rate was 0.9% per year. Bulk soil δ 15 N is determined by multiple N cycling processes, including gaseous N loss, net plant N uptake, leaching N loss, atmospheric N deposition and biological N fixation 53,54 . These processes have different effects on bulk soil δ 15 N, with the largest isotopic fractionation effects occurring in gaseous N loss (16~30‰), the second in net plant N uptake (5~10‰), the third in leaching N loss (1‰), and the least in atmospheric N deposition and biological N fixation (−2~0‰) 53,54 . Among these processes, atmospheric N deposition (both rate and δ 15 N, Supplementary Figs. [2][3] and leaching N loss (Fig. 3) did not exhibit significant changes during the detection period. Consequently, these two processes are supposed to have limited effects on bulk soil δ 15 N dynamics. Moreover, biological N fixation significantly increased during the past decade (P < 0.001; Fig. 3), which tended to depress bulk soil δ 15 N values because of the lower δ 15 N in biologically fixed N sources 53,54 . Accordingly, the increased bulk soil δ 15 N observed across the Tibetan alpine permafrost region should be largely driven by the enhanced gaseous N loss and/or the elevated plant N uptake. Overall, the simulated changes in plant N demand and ecosystem N loss (Fig. 3) were supported by the observed bulk soil δ 15 N dynamics (Fig. 4).
The progressive N limitation observed across the Tibetan alpine permafrost region contrasted with the traditional view that warming-induced permafrost thaw could eliminate vegetation N limitation in the circumpolar permafrost region by producing large amounts of available N through the acceleration of soil N mineralization and the release of originally frozen available N 15,17,19 . Such a difference could be related to the following two aspects. First, the soil N density (N storage per area) across the Tibetan alpine permafrost region (1.6 kg N m −2 to 3 m depth 55 ) is much lower than that in the circumpolar permafrost region (4.6 7.5 kg N m −2 to 3 m depth 56 ), which can lead to a lower available N supply through mineralization and thus is more likely to induce the enhanced vegetation N limitation. Second, the active layer thickness across the Tibetan alpine permafrost region (~2.4 m 23 ) is two times deeper than that in the circumpolar permafrost region (~0.9 m 57 ). Given that over 90% of plant roots are distributed within the 30 cm soil layer 58 , the deeper active layer thickness in this alpine permafrost region can restrict plants to use the released available N after permafrost thaw and thus is more likely to result in the enhanced vegetation N limitation.
In summary, based on isotopic observations from a resampling field investigation and simulations from a process-based biogeochemical model, this study explored ecosystem N dynamics   across the Tibetan alpine permafrost region. We found an enhanced vegetation N limitation across the study area over the last decade despite the increase in available N production. The progressive N limitation was associated with the joint enhancement in plant N demand and ecosystem N loss under current environmental changes, especially climate warming and CO 2 enrichment. These results suggest that the enhanced N limitation may constrain the positive effects of climate warming and CO 2 enrichment on vegetation productivity 8 . Despite that, microbial respiration can still be stimulated by the continuous climate warming 59 . Consequently, the Tibetan alpine permafrost region would turn from the current C sink 45 to future C source with continuous environmental changes, which could then switch the feedback of C cycle to climate warming in an opposite direction.

Methods
Study area. This study was conducted on the Tibetan Plateau, the largest alpine permafrost region around the world, with an area of~1.35 × 10 6 km 2 and a mean elevation over 4000 m 22,23 . Climate on this plateau is cold and dry 22 . The MAAT ranges between −4.1 and 7.4°C, and the MAP varies from dozens of mm in the northwest of the plateau to~700 mm in the southeast 60 . Due to the low temperature, permafrost is extensively developed and categorized as continuous, discontinuous, sporadic and isolated types across the plateau 22 Fig. 2) and soil moisture in the top 10 cm (Supplementary Figs. 11 and 12, and Supplementary Note 3) kept stable across the Tibetan alpine permafrost region. Despite that, MAAT on the plateau has significantly increased with a rate of 0.05°C per year since 1980 45 , which is similar to the rate reported in the circumpolar permafrost region and twice as much as the global mean warming rate 4 . As air temperature rose, soil temperature was also detected to increase continuously in this alpine permafrost region 23,45 . Warming climate has induced extensive permafrost thaw, including top-down permafrost degradation and various thermokarst features, such as thermo-erosion gullies and thermokarst lakes 23 . In addition, the Tibetan alpine permafrost region has also experienced a linearly increased atmospheric CO 2 concentration at a rate of 2.2 p.p. m.v. per year (Supplementary Fig. 2). These environmental changes make the Tibetan alpine permafrost region to be a natural laboratory to explore ecosystem N dynamics.
Original and repeated sampling. To detect temporal dynamics of ecosystem N cycle in the context of environmental changes across the Tibetan alpine permafrost region, a resampling field investigation, including an original field campaign and a repeated field campaign, was carried out across the study area during 2000s~2010s (Fig. 1). To be specific, the original sampling campaign was conducted by the investigation team from Peking University during the period from 2001 to 2004 61 . Based on this original campaign, 135 sites were investigated across the plateau (Fig. 1). After about 10 years, the resampling field campaign was performed by the investigation team from Institute of Botany, Chinese Academy of Sciences in the year 2013 and 2014 45 . With the record of geographic location (latitude and longitude) of a historical site investigated during the 2000s, the resampling site was preliminarily determined by a Global Position System with a decimetre precision ( Supplementary Fig. 1a). Based on the soil pits excavated during the 2000s, the resampling site was then accurately located with the help of investigators who participated in the original campaign during the 2000s (Supplementary Fig. 1b). Eventually, 107 (~79%) of the original 135 sites were re-investigated (Fig. 1). These sites spanned about~3000 km on the Tibetan Plateau, with longitude ranging from 80.8 to 120.1°E and latitude varying between 29.3 and 49.5°N (Fig. 1). Moreover, these resampling sites covered a wide range of climate gradients (MAAT: −3.14 .4°C; MAP: 103~694 mm) and major vegetation types (59 sites in alpine steppe and 48 sites in alpine meadow) across the study area. Vegetation samples were collected in the same manner during the two sampling periods. Specifically, in the initial field campaign, a plot of 10 m × 10 m was set up after locating a site and then five quadrats (1 m × 1 m) were established at each corner and the centre of the plot. Within the five quadrats, vegetation communities (occurred species and the relative cover) were investigated and aboveground vegetation was collected for plant δ 15 N analysis. In the repeated field survey, once the original 10 m × 10 m plot was recovered ( Supplementary Fig. 1b), we set five 1 m × 1 m quadrats next to the original quadrats, investigated vegetation communities (occurred species and the relative cover) and collected all the aboveground vegetation in each of the five quadrats for plant δ 15 N analysis ( Supplementary Fig. 1c). Consequently, the plant δ 15 N measured in our study represented the average isotopic signal of the vegetation community in the five quadrats with 1 × 1 m 2 area. In other words, the isotopic signal represented information of all the plant species within the vegetation community. Considering the potential effects of shifts in vegetation community on plant δ 15 N dynamics observed in this study, we examined changes in vegetation composition indicated by species richness and Shannon-Wiener index (Supplementary Note 1) and detected the stable vegetation community over the detection period ( Supplementary Fig. 5). Due to the potential effects of heavily mycorrhizal plant on the community average δ 15 N, we further analysed changes in species richness and the relative cover of five families that could be heavily colonized by mycorrhizae on the Tibetan Plateau (Gramineae, Leguminosae, Asteraceae, Cyperaceae and Rosaceae) 33 , and examined changes in the relative cover of the dominant species within the five families 33 (Supplementary Note 1). Both the family-and specieslevel analyses confirmed that vegetation community composition was unchanged over the period from the 2000s to the 2010s (Supplementary Figs. 6 and 7), which eliminated the potential confounding effects of vegetation community shifts on the plant δ 15 N dynamics observed in this study.
Similar to vegetation samples, the corresponding approaches used to collect soil samples were also consistent between the two sampling periods. Specifically, soil samples used to measure N isotope, N content as well as other soil properties (texture, pH, soil organic carbon (SOC) content) were collected within the top 10 cm layer in three quadrats along a diagonal within each resampling site ( Supplementary Fig. 1c). Soil samples used to determine bulk density were collected within the 10 cm depth with standard 100 cm 3 steel cylinders in three quadrats along a diagonal within each resampling site 45 . Besides the identical investigation method and the stable vegetation community ( Supplementary  Figs. 5-7), the topography and management practices were also unchanged during the detection period for each of the 107 paired sampling sites 45 .
Elemental and stable isotope analyses. To explore changes in ecosystem N cycle, we measured δ 15 N values of plant and bulk soil with samples collected through the large-scale resampling investigations. In our study, site-level plant δ 15 N measurement was conducted based on the five vegetation samples collected over the five quadrats (1 m × 1 m) within a sampling plot (10 m × 10 m; Supplementary Fig. 1). Specifically, at each sampling site, plant samples were collected from each of the five 1 × 1 m 2 quadrats, dried to a constant weight at 65°C and weighed as aboveground biomass separately. The dried plant samples were then ground using a ball mill (Mixer Mill MM 400, Retsch, Germany) for plant δ 15 N analysis. In addition, the collected soil samples were air dried, passed through a 2 mm sieve (removing gravel and coarse roots), processed to remove fine roots and ground with a ball mill (Mixer Mill MM 400, Retsch, Germany). With the treated plant and soil samples, we measured plant and bulk soil δ 15 N values using an isotope ratio mass spectrometer (SerCon 20-22, Crewe, UK), analysed plant and soil N contents with an elemental analyser (Vario EL Ш, Elementar, Germany), and determined soil P contents with an inductively coupled plasma optical emission spectrometry (ICAP 6300 ICP-OES Spectrometer, Thermo Scientific, USA). To avoid errors in measurements, both δ 15 N values and element contents during the two sampling periods were determined at the same time with the same instruments.
Model simulation. To further examine ecosystem N dynamics on the basis of observations from large-scale resampling investigation, we simulated the key ecosystem N cycling processes for the 107 resampling sites with DNDC [http:// www.dndc.sr.unh.edu/], a process-based biogeochemical model. DNDC has been widely tested and applied around the world [http://www.globaldndc.net/ information/publications-i-3.html], especially for the simulation of ecosystem N dynamics 24,25 , and has also been demonstrated to perform well across the Tibetan alpine permafrost region 62,63 .
In this study, we first validated the DNDC model in terms of simulating ecosystem-atmosphere nitrous oxide (N 2 O) fluxes. Specifically, we collected N 2 O fluxes measurements from published studies across the Tibetan alpine permafrost region, and obtained 58 N 2 O observations from 22 sites (Supplementary Fig. 15a) in 18 studies (Supplementary Methods). We also synthesized other data from the above-mentioned literature (Supplementary Methods) and other associated literature [64][65][66][67] to drive the model simulation, including vegetation type, plant biomass, plant C:N ratio, soil texture, soil bulk density, soil pH, SOC content and soil C:N ratio. To drive the model simulation, we further acquired data for atmospheric CO 2 concentration, annual rate of atmospheric N deposition, daily meteorology and thermal degree days. Among them, the atmospheric CO 2 concentration, observed at the Waliguan (a global atmospheric background station), was obtained from the Chinese Research Network or Special Environment and Disaster [http://www.crensed.ac.cn]. Atmospheric N deposition rate was obtained from a national-scale spatiotemporal dataset 68 if it was not provided in the original literature. The daily meteorological data, including mean temperature, maximum temperature, minimum temperature and precipitation, were derived from the nearest meteorological station [http://data.cma.cn/] close to the N 2 O observation site. The thermal degree days were calculated by summing the daily mean temperature higher than 0°C 38 . Based on the above-mentioned dataset, N 2 O fluxes were simulated by the DNDC model. With the simulated and observed N 2 O emissions, the model performance was evaluated on the basis of the 1 : 1 line plot ( Supplementary Fig. 15b) and four indicators which included R 2 (coefficient of determination; Eq. 1), RMSE (root mean square error; Eq. 2), RMD (relative mean deviation; Eq. 3) and ME (model efficiency; Eq. 4) 62,63 .
where in S i and O i are simulated and observed values, S and O are their averages and n indicates the number of simulation-observation pairs. The model validation showed that all the data points constituted by the simulated and observed N 2 O emissions were well distributed near the 1 : 1 line ( Supplementary Fig. 15b), demonstrating good model performance across the study area.
Using the validated model, we conducted simulations for the 107 resampling sites during the period from 1980 to 2015. Before simulations, credible data were collected as model inputs, including atmospheric CO 2 concentration, annual atmospheric N deposition rate, daily meteorological data, vegetation type, plant biomass, plant C : N ratio, soil texture, soil bulk density, soil pH, SOC content and soil C : N ratio. Among them, the annual atmospheric CO 2 concentration, annual atmospheric N deposition rate and daily meteorological data were derived from the Chinese Research Network or Special Environment and Disaster [http://www. crensed.ac.cn], a spatiotemporal dataset of atmospheric N deposition in China 68 and China Meteorological Administration [http://data.cma.cn/], respectively. The vegetation type for each site was determined based on the vegetation community investigation during the resampling campaign. Data for plant biomass, plant C : N ratio, soil texture, bulk density, pH, SOC content and soil C : N ratio were derived from direct measurements. Of them, plant C content was measured with an elemental analyser (Vario EL Ш, Elementar, Germany). Soil texture was determined with a laser particle size analyser (Malvern Masterizer 2000, Malvern, UK) after removing soil organic matter and carbonate. Soil bulk density was examined by drying the samples collected with standard steel cylinders at 105°C. Soil pH was determined using a pH electrode (PB-10, Sartorius, Germany) in a 1 : 2.5 soil-to-deionized water mixture. The SOC content was analysed with the Walkley-Black method 61 . With the above-mentioned dataset, simulations were conducted with the DNDC model. After that, the model was further validated with the observed soil N density (N storage per area, 0-10 cm, Eq. 5) and aboveground plant N pool (the product of aboveground biomass and the corresponding N content), based on the combination of 1:1 line plots and the four model performance indicators mentioned above (i.e., R 2 , RMSE, RMD and ME). The validation results showed that both soil N density and aboveground plant N pool were well distributed near the 1 : 1 line and the four indicators (i.e., R 2 , RMSE, RMD, and ME) illustrated good model performance ( Supplementary Fig. 16).
In Eq. 5, soil N density (SND, kg N m −2 ) was calculated based on soil thickness (T i , cm), bulk density (BD i , g cm −3 ), soil total N content (TN i , g kg −1 ) and >2 mm rock content (C i , %) 55 . In addition, soil moisture (10 cm depth) simulated by the DNDC model, determined jointly by precipitation and other hydrological processes 69 , was also validated with the measured values across the 107 resampling sites. The data-model comparison revealed that the DNDC model could well capture the observed soil moisture across the investigated sites ( Supplementary  Fig. 17). Furthermore, both the simulated and observed surface soil water-filled pore space experienced no significant changes over the period from the 2000s to the 2010s (Supplementary Figs. 11 and 12), demonstrating that the DNDC model could also accurately characterize soil moisture dynamics across the study area.
Statistical analyses. To determine whether N cycling variables exhibited significant differences during the detection period, we conducted statistical tests with the linear mixed-effects model (LMM). LMM is an extension of simple linear model, which can effectively remove the random effects for non-independent data 45 . In this study, LMMs were used to explore changes in plant δ 15 N, plant N stress index, the production of available N (soil N mineralization and biological N fixation), plant N demand (plant N pool and plant N uptake rate), ecosystem N loss (total N loss, gaseous N loss and leaching N loss) and bulk soil δ 15 N over the detection period. For all the analyses with LMM, the fixed effect was year and the random effect was sampling site. Data normality was tested before the LMM analyses, and log-transformation was performed when necessary. All the analyses were conducted in R 3.5.1 with the lme4 package 70 .
To disentangle effects of environmental changes on N cycling processes, factorial analyses were conducted with the DNDC simulations. Four simulation experiments were carried out for each of the 107 resampling sites: (i) constant atmospheric CO 2 concentration with normal changes in other factors; (ii) constant temperature with normal changes in other factors; (iii) constant precipitation with normal changes in other factors; and (iv) normal changes in all factors. After all the simulations, we calculated the differences between the target variable in one of the four controlling simulation experiments and the target variable in experiment (iv) for each resampling site. Finally, we averaged the calculated differences among the 107 resampling sites to reflect the impact of different environmental changes on the dynamics of N cycling processes.

Data availability
All plant and soil δ 15 N data used in this study are available as a supplementary file (Supplementary Data 1). Additional data are available from the corresponding author (Dr. Yuanhe Yang) upon reasonable request.