Abstract
Maize and wheat are two major staple foods that collectively contribute two-thirds of the world’s grain supply. The extensive use of nitrogen (N) fertilizers during the cultivation of both crops leads to significant losses of reactive nitrogen (Nr) into the environment. Here, using machine learning algorithms, we generate high-resolution maps of crop-specific soil Nr losses based on global field measurements. We estimate that global annual soil Nr losses from the use of synthetic N fertilizer in 2020, including direct emissions of nitrous oxide (N2O), nitric oxide (NO), ammonia (NH3), N leaching and run-off, amount to 0.18, 1.62, 0.09, 1.47 and 1.10 million tonnes N for maize, and 0.12, 1.33, 0.07, 1.21 and 0.95 million tonnes N for wheat, respectively. The annual indirect N2O emissions induced by synthetic N fertilizer use from these soil Nr losses are estimated to be 45,000 and 37,000 tonnes for maize and wheat, respectively, with hydrologic pathways playing a predominant role. Enhancing N use efficiency up to 60% for regions below this value can achieve a total soil Nr loss mitigation potential of 4.00 million tonnes per year for the two crops, thereby reducing indirect N2O emissions by 49%. Our results contribute to constrain global N budgets from the use of fertilizer in agriculture, which then can help to improve projections of nitrogen cycle–climate feedbacks using modelling approaches.
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Data availability
The dataset supporting our results and maps generated during this study are available via figshare data at https://doi.org/10.6084/m9.figshare.25546771 (ref. 59). The base maps used in this study were sourced from Natural Earth as provided at http://www.naturalearthdata.com/downloads/.
Code availability
The source code used for this study has been deposited in the figshare data repository at https://doi.org/10.6084/m9.figshare.25546771 (ref. 59).
References
Chen, X. et al. Producing more grain with lower environmental costs. Nature 514, 486–489 (2014).
Fertilizer Use by Crop and Country for the 2017–2018 Period (International Fertilizer Association, 2022).
Foley, J. A. et al. Solutions for a cultivated planet. Nature 478, 337–342 (2011).
Consumption (International Fertilizer Association, 2022); https://www.ifastat.org/databases/plant-nutrition
Liu, W. et al. Achieving high crop yields with low nitrogen emissions in global agricultural input intensification. Environ. Sci. Technol. 52, 13782–13791 (2018).
Compton, J. E. et al. Ecosystem services altered by human changes in the nitrogen cycle: a new perspective for US decision making. Ecol. Lett. 14, 804–815 (2011).
Shcherbak, I., Millar, N. & Robertson, G. P. Global metaanalysis of the nonlinear response of soil nitrous oxide (N2O) emissions to fertilizer nitrogen. Proc. Natl Acad. Sci. USA 111, 9199–9204 (2014).
Hickman, J. E. et al. Nonlinear response of nitric oxide fluxes to fertilizer inputs and the impacts of agricultural intensification on tropospheric ozone pollution in Kenya. Glob. Chang. Biol. 23, 3193–3204 (2017).
IPCC 2019 Refinement to the 2006 IPCC Guidelines for National Greenhouse Gas Inventories (eds Calvo Buendia, E. et al.) (IPCC Switzerland, 2019).
Ma, R. et al. Data-driven estimates of fertilizer-induced soil NH3, NO and N2O emissions from croplands in China and their climate change impacts. Glob. Chang. Biol. 28, 1008–1022 (2022).
Ma, R. et al. Global soil-derived ammonia emissions from agricultural nitrogen fertilizer application: a refinement based on regional and crop-specific emission factors. Glob. Chang. Biol. 27, 855–867 (2021).
Xu, P. et al. Role of organic and conservation agriculture in ammonia emissions and crop productivity in China. Environ. Sci. Technol. 56, 2977–2989 (2022).
Zhan, X. et al. Improved estimates of ammonia emissions from global croplands. Environ. Sci. Technol. 55, 1329–1338 (2021).
Tian, H. et al. A comprehensive quantification of global nitrous oxide sources and sinks. Nature 586, 248–256 (2020).
Bouwman, L. et al. Exploring global changes in nitrogen and phosphorus cycles in agriculture induced by livestock production over the 1900–2050 period. Proc. Natl Acad. Sci. USA 110, 20882–20887 (2013).
Yin, Y. et al. A steady-state N balance approach for sustainable smallholder farming. Proc. Natl Acad. Sci. USA 118, e2106576118 (2021).
Yu, X., Keitel, C., Zhang, Y., Wangeci, A. N. & Dijkstra, F. A. Global meta-analysis of nitrogen fertilizer use efficiency in rice, wheat and maize. Agric. Ecosyst. Environ. 338, 108089 (2022).
Zhang, C. et al. Using nitrification inhibitors and deep placement to tackle the trade-offs between NH3 and N2O emissions in global croplands. Glob. Chang. Biol. 28, 4409–4422 (2022).
Xia, L. et al. Trade-offs between soil carbon sequestration and reactive nitrogen losses under straw return in global agroecosystems. Glob. Chang. Biol. 24, 5919–5932 (2018).
Omonode, R. A., Halvorson, A. D., Gagnon, B. & Vyn, T. J. Achieving lower nitrogen balance and higher nitrogen recovery efficiency reduces nitrous oxide emissions in North America’s maize cropping systems. Front. Plant Sci. 8, 1080 (2017).
Lam, S. K. et al. Next-generation enhanced-efficiency fertilizers for sustained food security. Nat. Food 3, 575–580 (2022).
Liu, S. et al. A meta-analysis of fertilizer-induced soil NO and combined NO + N2O emissions. Glob. Chang. Biol. 23, 2520–2532 (2017).
Wang, Y. et al. Soil pH as the chief modifier for regional nitrous oxide emissions: new evidence and implications for global estimates and mitigation. Glob. Chang. Biol. 24, e617–e626 (2017).
Xu, P. et al. Fertilizer management for global ammonia emission reduction. Nature 626, 792–798 (2024).
Huddell, A. M. et al. Meta-analysis on the potential for increasing nitrogen losses from intensifying tropical agriculture. Glob. Chang. Biol. 26, 1668–1680 (2020).
Yao, Y. et al. Increased global nitrous oxide emissions from streams and rivers in the Anthropocene. Nat. Clim. Change 10, 138–142 (2019).
Del Grosso, S. J. et al. Global scale DAYCENT model analysis of greenhouse gas emissions and mitigation strategies for cropped soils. Glob. Planet. Change 67, 44–50 (2009).
Liu, W. et al. Global assessment of nitrogen losses and trade-offs with yields from major crop cultivations. Sci. Total Environ. 572, 526–537 (2016).
Feng, Z. et al. More frequent intense and long-lived storms dominate the springtime trend in central US rainfall. Nat. Commun. 7, 13429 (2016).
Gu, B. et al. Cost-effective mitigation of nitrogen pollution from global croplands. Nature 613, 77–84 (2023).
Li, T. et al. Enhanced-efficiency fertilizers are not a panacea for resolving the nitrogen problem. Glob. Chang. Biol. 24, e511–e521 (2018).
Venterea, R. T. et al. Challenges and opportunities for mitigating nitrous oxide emissions from fertilized cropping systems. Front. Ecol. Environ. 10, 562–570 (2012).
Huang, Y. A. O. & Tang, Y. An estimate of greenhouse gas (N2O and CO2) mitigation potential under various scenarios of nitrogen use efficiency in Chinese croplands. Glob. Chang. Biol. 16, 2958–2970 (2010).
Gao, Y. & Cabrera Serrenho, A. Greenhouse gas emissions from nitrogen fertilizers could be reduced by up to one-fifth of current levels by 2050 with combined interventions. Nat. Food 4, 170–178 (2023).
You, L. et al. Global mean nitrogen recovery efficiency in croplands can be enhanced by optimal nutrient, crop and soil management practices. Nat. Commun. 14, 5747 (2023).
Chatzimpiros, P. & Harchaoui, S. Sevenfold variation in global feeding capacity depends on diets, land use and nitrogen management. Nat. Food 4, 372–383 (2023).
Cui, Z. et al. Pursuing sustainable productivity with millions of smallholder farmers. Nature 555, 363–366 (2018).
Mueller, N. D. et al. Declining spatial efficiency of global cropland nitrogen allocation. Global Biogeochem. Cycles 31, 245–257 (2017).
Zhang, X. et al. Managing nitrogen for sustainable development. Nature 528, 51–59 (2015).
Xia, L. et al. Can knowledge-based N management produce more staple grain with lower greenhouse gas emission and reactive nitrogen pollution? A meta-analysis. Glob. Chang. Biol. 23, 1917–1925 (2017).
Senapati, N. et al. Global wheat production could benefit from closing the genetic yield gap. Nat. Food 3, 532–541 (2022).
Shang, Z. et al. Measurement of N2O emissions over the whole year is necessary for estimating reliable emission factors. Environ. Pollut. 259, 113864 (2020).
Cui, X. et al. Global mapping of crop-specific emission factors highlights hotspots of nitrous oxide mitigation. Nat. Food 2, 886–893 (2021).
Wang, Y., Yao, Z., Zheng, X., Subramaniam, L. & Butterbach-Bahl, K. A synthesis of nitric oxide emissions across global fertilized croplands from crop-specific emission factors. Glob. Chang. Biol. 28, 4395–4408 (2022).
Cui, Z. et al. Closing the yield gap could reduce projected greenhouse gas emissions: a case study of maize production in China. Glob. Chang. Biol. 19, 2467–2477 (2013).
Tamagno, S. et al. Quantifying N leaching losses as a function of N balance: a path to sustainable food supply chains. Agric. Ecosyst. Environ. 324, 107714 (2022).
Wang, Y. et al. Potential benefits of liming to acid soils on climate change mitigation and food security. Glob. Chang. Biol. 27, 2807–2821 (2021).
Biederman, L. A. & Harpole, W. S. Biochar and its effects on plant productivity and nutrient cycling: a meta-analysis. Glob. Change Biol. Bioenergy 5, 202–214 (2013).
Charles, A. et al. Global nitrous oxide emission factors from agricultural soils after addition of organic amendments: a meta-analysis. Agric. Ecosyst. Environ. 236, 88–98 (2017).
Viechtbauer, W. Conducting meta-analyses in R with the metafor package. J. Stat. Softw. 36, 1–48 (2010).
Cayuela, M. L. et al. Direct nitrous oxide emissions in Mediterranean climate cropping systems: emission factors based on a meta-analysis of available measurement data. Agric. Ecosyst. Environ. 238, 25–35 (2017).
Rosenberg, M. S. The file-drawer problem revisited: a general weighted method for calculating fail-safe numbers in meta-analysis. Evolution 59, 464 (2005).
Hedges, L. V., Gurevitch, J. & Curtis, P. S. The meta-analysis of response ratios in experimental ecology. Ecology 80, 1150–1156 (1999).
Xu, X. et al. Climate change may interact with nitrogen fertilizer management leading to different ammonia loss in China’s croplands. Glob. Chang. Biol. 27, 6525–6535 (2021).
Guilpart, N., Iizumi, T. & Makowski, D. Data-driven projections suggest large opportunities to improve Europe’s soybean self-sufficiency under climate change. Nat. Food 3, 255–265 (2022).
Adalibieke, W., Cui, X., Cai, H., You, L. & Zhou, F. Global crop-specific nitrogen fertilization dataset in 1961−2020. Sci. Data 10, 617 (2023).
Chang, J. et al. Reconciling regional nitrogen boundaries with global food security. Nat. Food 2, 700–711 (2021).
van den Hoogen, J. et al. Soil nematode abundance and functional group composition at a global scale. Nature 572, 194–198 (2019).
Wang, C. et al. Data and codes for 'Reducing soil nitrogen losses from fertilizer use in global maize and wheat production'. figshare https://doi.org/10.6084/m9.figshare.25546771 (2024).
Acknowledgements
This work was supported by the National Key Research and Development Program of China (grant no. 2022YFD1901600 to S.L.), the Technology Innovation Special Fund of Jiangsu Province for Carbon Dioxide Emission Peaking and Carbon Neutrality (grant nos. BE2023398 and BE2022423 to S.L. and J.Z.) and the Fundamental Research Funds for the Central Universities (grant nos. KYT2023001, KYTZ2023017 and KJJQ2024018 to S.L. and C.W.).
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S.L., J.Z. and C.W. designed the investigation. C.W., Y.S. and S.X. established the dataset. C.W., G.L., S.X., X.F. and Y.S. performed the statistical analyses, created the figures and wrote the paper. L.W., B.G., F.Z., D.C., H.T. and P.C. participated in relevant scientific discussions and commented on the paper. All authors contributed to improving and finalizing the paper.
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Nature Geoscience thanks Alex Huddell, Phillip Agredazywczuk and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Primary Handling Editor: Xujia Jiang, in collaboration with the Nature Geoscience team.
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Extended data
Extended Data Fig. 1 Spatial patterns of synthetic N fertilizer-induced soil Nr losses for global maize and wheat fields in 2020.
a-e, Global maps of direct soil N2O emissions, NH3 volatilization, NO emissions, N leaching and runoff per hectare of maize, respectively. f-j, Mapping of direct N2O emissions, NH3 volatilization, NO emissions, N leaching and runoff per hectare of wheat, respectively.
Extended Data Fig. 2 Global synthetic N fertilizer-induced soil Nr losses for maize and wheat fields by country in 2020.
Global maps of direct soil N2O emissions (a, g), NH3 volatilization (b, h), NO emissions (c, i), N leaching (d, j), N runoff (e, k) and total Nr losses (f, l) by country for maize (a-f) and wheat (g-l), respectively.
Extended Data Fig. 3 Synthetic N fertilizer-induced total N2O emissions and mitigation potentials of different scenarios for maize.
The central map shows the synthetic N fertilizer-induced total N2O emissions from maize field in 2020. Each stacked bar charts (a-g) shows the mean value of total N2O emissions under different scenarios for maize globally and across 6 continents. Error bars indicate 95% confidence intervals (CIs) estimated by the Monte Carlo approach with 10,000 simulations. The definitions of different scenarios can be found in Methods section.
Extended Data Fig. 4 Synthetic N fertilizer-induced total N2O emissions and mitigation potentials of different scenarios for wheat.
The central map shows the synthetic N fertilizer-induced total N2O emissions from wheat field in 2020. Each stacked bar charts (a-g) shows the mean value of total N2O emissions under different scenarios for wheat globally and across 6 continents. Error bars indicate 95% confidence intervals (CIs) estimated by the Monte Carlo approach with 10,000 simulations. The definitions of different scenarios can be found in Methods section.
Extended Data Fig. 5 Spatial patterns of N use efficiency (NUE) and their coefficient of variation (c.v.) for global maize and wheat fields.
The mean values (a, b) and bootstrapped (100 iterations) coefficient of variation (standard deviation divided by the mean predicted value) (c, d) of NUE are calculated across the 100 model runs (see Methods) for each grid cell.
Extended Data Fig. 6 Spatial patterns of hotspots for soil Nr loss mitigation from maize and wheat cultivation.
Bivariate maps comparing the N input of grid cells (that is, N input rate multiply by harvest area) with N use efficiency (NUE) for maize (a) and wheat (b). The status groups were allocated using equal distributions. Regions with high N input but low NUE are regarded as hotspots for soil Nr loss mitigation.
Extended Data Fig. 7 Spatial patterns of hotspots for soil Nr loss mitigation by enhanced-efficiency N fertilizers (EEFs) substitution.
Bivariate maps comparing the N input of grid cells (that is, N input rate multiply by harvest area) with NUE enhancement by EEFs substitution for maize (a) and wheat (b). The status groups were allocated using equal distributions. Regions with high N input and high NUE improving potential are regarded as hotspots for soil Nr loss mitigation by EEFs substitution.
Extended Data Fig. 8 Spatial patterns of dominant drivers regulating variation in NUE.
Maize (a) and wheat (b). The dominant driver is defined as the factor with the maximum absolute value of the partial correlation coefficient in each grid after applying a moving 3.75° by 3.75° window. Only significant correlations (P < 0.05) are shown. The inset donut charts indicate the percentage of NUE variations regulated by the dominant drivers. MAP, mean annual precipitation; MAT, mean annual air temperature; SOC, soil organic carbon content.
Extended Data Fig. 9 The coefficient of variation (c.v.) of fertilizer-induced soil Nr losses for maize and wheat fields in 2020 derived from random forest models.
The coefficient of variation of soil Nr loss factors of direct N2O emissions (a, f), NH3 volatilization (b, g), NO emissions (c, h), N leaching (d, i) and runoff (e, j) for maize (a-e) and wheat (f-j) cultivation, respectively. The bootstrapped (100 iterations) coefficient of variation (standard deviation divided by the mean predicted value) are calculated across the 100 model runs for each grid cell (see Methods for details).
Extended Data Fig. 10 Geographical distribution of study sites of soil Nr losses.
Geographical distribution of study sites for maize (a) and wheat (b). Different colors of dots indicate different soil Nr loss pathways. The point size indicates the number of observations from that site. (c) Distribution and the number of observations (the numbers in parentheses) for soil Nr losses from maize and wheat fields.
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Wang, C., Shen, Y., Fang, X. et al. Reducing soil nitrogen losses from fertilizer use in global maize and wheat production. Nat. Geosci. 17, 1008–1015 (2024). https://doi.org/10.1038/s41561-024-01542-x
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DOI: https://doi.org/10.1038/s41561-024-01542-x
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