Abstract
Input–output estimates of nitrogen on cropland are essential for improving nitrogen management and better understanding the global nitrogen cycle. Here, we compare 13 nitrogen budget datasets covering 115 countries and regions over 1961–2015. Although most datasets showed similar spatiotemporal patterns, some annual estimates varied widely among them, resulting in large ranges and uncertainty. In 2010, global medians (in TgN yr−1) and associated minimum–maximum ranges were 73 (64–84) for global harvested crop nitrogen; 161 (139–192) for total nitrogen inputs; 86 (68–97) for nitrogen surplus; and 46% (40–53%) for nitrogen use efficiency. Some of the most uncertain nitrogen budget terms by country showed ranges as large as their medians, revealing areas for improvement. A benchmark nitrogen budget dataset, derived from central tendencies of the original datasets, can be used in model comparisons and inform sustainable nitrogen management in food systems.
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Data availability
Most data presented in this study are contained within the Supplementary Information. The benchmark datasets are available in the Supplementary Data. Other raw data supporting the findings of this study are available through Dryad (https://doi.org/10.5061/dryad.vt4b8gtrd) and from the corresponding authors upon reasonable request. Source data are provided with this paper.
Code availability
The code used to perform analyses in this study is generated in MATLAB 2016b and is available upon request.
References
Kanter, D. R. et al. Nitrogen pollution policy beyond the farm. Nat. Food 1, 27–32 (2020).
Gerten, D. et al. Feeding ten billion people is possible within four terrestrial planetary boundaries. Nat. Sustain. 3, 200–208 (2020).
Zhang, X. et al. Managing nitrogen for sustainable development. Nature 528, 51–59 (2015).
Nitrogen Inputs to Agricultural Soils from Livestock Manure: New Statistics (FAO, 2018).
Erisman, J. W., Sutton, M. A., Galloway, J., Klimont, Z. & Winiwarter, W. How a century of ammonia synthesis changed the world. Nat. Geosci. 1, 636–639 (2008).
Fowler, D. et al. The global nitrogen cycle in the twenty-first century. Philos. Trans. R. Soc. Lond. B Biol. Sci. 368, 20130164 (2013).
Sutton, M. A. et al. Our Nutrient World. The Challenge to Produce More Food & Energy with Less Pollution (Centre for Ecology & Hydrology, 2013).
Erisman, J. W. et al. Consequences of human modification of the global nitrogen cycle. Philos. Trans. R. Soc. B Biol. Sci. 368, 20130116 (2013).
Lassaletta, L., Billen, G., Grizzetti, B., Anglade, J. & Garnier, J. 50 year trends in nitrogen use efficiency of world cropping systems: The relationship between yield and nitrogen input to cropland. Environ. Res. Lett. https://doi.org/10.1088/1748-9326/9/10/105011 (2014).
Morseletto, P. Confronting the nitrogen challenge: options for governance and target setting. Global Environ. Change 54, 40–49 (2019).
Quemada, M. et al. Exploring nitrogen indicators of farm performance among farm types across several european case studies. Agric. Syst. 177, 102689 (2020).
Zhang, X. et al. Quantifying nutrient budgets for sustainable nutrient management. Global Biogeochem. Cycles https://doi.org/10.1029/2018gb006060 (2020)
Schmidt-Traub, G., Kroll, C., Teksoz, K., Durand-Delacre, D. & Sachs, J. D. National baselines for the sustainable development goals assessed in the SDG index and dashboards. Nat. Geosci. 10, 547–555 (2017).
McLellan, E. L. et al. The nitrogen balancing act: tracking the environmental performance of food production. Bioscience 68, 194–203 (2018).
Leach, A. M. et al. Environmental impact food labels combining carbon, nitrogen, and water footprints. Food Policy 61, 213–223 (2016).
Tian, H. et al. Global soil nitrous oxide emissions since the preindustrial era estimated by an ensemble of terrestrial biosphere models: magnitude, attribution, and uncertainty. Glob. Chang Biol. 25, 640–659 (2019).
Beusen, A. H., Bouwman, A. F., Van Beek, L. P., Mogollón, J. M. & Middelburg, J. J. Global riverine N and P transport to ocean increased during the 20th century despite increased retention along the aquatic continuum. Biogeosciences 13, 2441–2451 (2016).
van Grinsven, H. J. M. et al. Management, regulation and environmental impacts of nitrogen fertilization in northwestern Europe under the Nitrates Directive; a benchmark study. Biogeosciences 9, 5143–5160 (2012).
Gennari, P., Rosero-Moncayo, J. & Tubiello, F. N. The FAO contribution to monitoring SDGs for food and agriculture. Nat. Plants 5, 1196–1197 (2019).
SDG Indicator 2.4.1: Proportion of Agricultural Area under Productive and Sustainable Agriculture. Methodological Note (FAO, 2018).
Soil Nutrient Budget. Global, Regional and Country Trends, 1961–2018. FAOSTAT Analytical Brief Series No. 20 (FAO, 2014); http://www.fao.org/3/cb4475en/cb4475en.pdf
Lassaletta, L. et al. Food and feed trade as a driver in the global nitrogen cycle: 50-year trends. Biogeochemistry 118, 225–241 (2014).
Tenorio, F. A. M. et al. Assessing variation in maize grain nitrogen concentration and its implications for estimating nitrogen balance in the US north central region. Field Crops Res. 240, 185–193 (2019).
Smil, V. Nitrogen in crop production: an account of global flows. Global Biogeochem. Cycles 13, 647–662 (1999).
Bodirsky, B. L. et al. N2O emissions from the global agricultural nitrogen cycle—current state and future scenarios. Biogeosciences 9, 4169–4197 (2012).
Xu, R. et al. Increased nitrogen enrichment and shifted patterns in the world’s grassland: 1860–2016. Earth Syst. Sci. Data 11, 175–187 (2019).
Heffer, P., Gruère, A. & Roberts, T. Assessment of Fertilizer Use by Crop at the Global Level 2014–2014/15 (International Fertilizer Industry Association, 2017); http://www.fertilizer.org//En/Statistics/Agriculture_Committee_Databases.aspx
Official Data Collection from Countries: Analysis and Dissemination (FAO, 2020); http://www.fao.org/economic/ess/environment/data/en/
Fertilizer Use and Price Data Set (United States Department of Agriculture, 2013); https://www.ers.usda.gov/data-products/fertilizer-use-and-price.Aspx
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).
2019 Refinement to the 2006 IPCC Guidelines for National Greenhouse Gas Inventories (Intergovernmental Panel on Climate Change, 2019).
Bouwman, A. F., Van der Hoek, K. W., Eickhout, B. & Soenario, I. Exploring changes in world ruminant production systems. Agric. Syst. 84, 121–153 (2005).
Lassaletta, L. et al. Future global pig production systems according to the shared socioeconomic pathways. Sci. Total Environ. 665, 739–751 (2019).
Weindl, I. et al. Livestock and human use of land: productivity trends and dietary choices as drivers of future land and carbon dynamics. Global Planet. Change 159, 1–10 (2017).
MacLeod, M. J. et al. Invited review: a position on the Global Livestock Environmental Assessment Model (GLEAM). Animal 12, 383–397 (2018).
Herrero, M. et al. Biomass use, production, feed efficiencies, and greenhouse gas emissions from global livestock systems. Proc. Natl Acad. Sci. USA 110, 20888–20893 (2013).
Liu, J. et al. A high-resolution assessment on global nitrogen flows in cropland. Proc. Natl Acad. Sci. USA 107, 8035–8040 (2010).
Herridge, D. F., Peoples, M. B. & Boddey, R. M. Global inputs of biological nitrogen fixation in agricultural systems. Plant Soil 311, 1–18 (2008).
Anglade, J., Billen, G. & Garnier, J. Relationships for estimating N2 fixation in legumes: incidence for N balance of legume-based cropping systems in europe. Ecosphere 6, 37 (2015).
Fixen, P. E., Williams, R. & Rund, Q. B. NuGIS: A Nutrient Use Geographic Information System for the US (International Plant Nutrition Institute, 2012).
Lassaletta, L. et al. Nitrogen use in the global food system: past trends and future trajectories of agronomic performance, pollution, trade, and dietary demand. Environ. Res. Lett. 11, 095007 (2016).
Bouwman, A. F. et al. Lessons from temporal and spatial patterns in global use of N and P fertilizer on cropland. Sci. Rep. 7, 40366 (2017).
Dentener, F. et al. Nitrogen and sulfur deposition on regional and global scales: a multimodel evaluation. Global Biogeochem. Cycles https://doi.org/10.1029/2005gb002672 (2006).
Ray, D. K. & Foley, J. A. Increasing global crop harvest frequency: recent trends and future directions. Environ. Res. Lett. 8, 044041 (2013).
Nishina, K., Ito, A., Hanasaki, N. & Hayashi, S. Reconstruction of spatially detailed global map of NH4+ and NO3− application in synthetic nitrogen fertilizer. Earth Syst. Sci. Data https://doi.org/10.5194/essd-9-149-2017 (2017)
Lu, C. & Tian, H. Global nitrogen and phosphorus fertilizer use for agriculture production in the past half century: shifted hot spots and nutrient imbalance. Earth Syst. Sci. Data 9, 181–192 (2017).
West, P. C. et al. Leverage points for improving global food security and the environment. Science 345, 325–328 (2014).
Peoples, M. et al. The contributions of nitrogen-fixing crop legumes to the productivity of agricultural systems. Symbiosis 48, 1–17 (2009).
Ramankutty, N., Evan, A. T., Monfreda, C. & Foley, J. A. Farming the planet: 1. Geographic distribution of global agricultural lands in the year 2000. Global Biogeochem. Cycles https://doi.org/10.1029/2007gb002952 (2008)
Zhang, B. et al. Global manure nitrogen production and application in cropland during 1860–2014: a 5 arcmin gridded global dataset for earth system modeling. Earth Syst. Sci. Data 9, 667–678 (2017).
Klein Goldewijk, K., Beusen, A., Doelman, J. & Stehfest, E. Anthropogenic land use estimates for the Holocene—HYDE 3.2. Earth Syst. Sci. Data 9, 927–953 (2017).
Hurtt, G. C. et al. Harmonization of land-use scenarios for the period 1500–2100: 600 years of global gridded annual land-use transitions, wood harvest, and resulting secondary lands. Clim. Change 109, 117–161 (2011).
Bouwman, A. F., Beusen, A. H. W. & Billen, G. Human alteration of the global nitrogen and phosphorus soil balances for the period 1970–2050. Global Biogeochem. Cycles https://doi.org/10.1029/2009gb003576 (2009)
Conant, R. T., Berdanier, A. B. & Grace, P. R. Patterns and trends in nitrogen use and nitrogen recovery efficiency in world agriculture. Global Biogeochem. Cycles 27, 558–566 (2013).
Bodirsky, B. L. et al. Reactive nitrogen requirements to feed the world in 2050 and potential to mitigate nitrogen pollution. Nat. Commun. 5, 3858 (2014).
Lamarque, J. F. et al. Multi-model mean nitrogen and sulfur deposition from the atmospheric chemistry and climate model intercomparison project (ACCMIP): evaluation of historical and projected future changes. Atmos. Chem. Phys. 13, 7997–8018 (2013).
Hurtt, G. C. et al. Harmonization of global land use change and management for the period 850–2100 (LUH2) for CMIP6. Geosci. Model Dev. 13, 5425–5464 (2020).
Klein Goldewijk, K., Beusen, A., Van Drecht, G. & De Vos, M. The HYDE 3.1 spatially explicit database of human-induced global land-use change over the past 12,000 years. Global Ecol. Biogeogr. 20, 73–86 (2011).
Mueller, N. D. et al. Closing yield gaps through nutrient and water management. Nature 490, 254–257 (2012).
Mueller, N. D. et al. A tradeoff frontier for global nitrogen use and cereal production. Environ. Res. Lett. 9, 054002 (2014).
Agricultural Waste Management Field Handbook Report NR 210-VI, NEH-651 (US Department of Agriculture, 1999).
Monfreda, C., Ramankutty, N. & Foley, J. A. Farming the planet: 2. Geographic distribution of crop areas, yields, physiological types, and net primary production in the year 2000. Global Biogeochem. Cycles https://doi.org/10.1029/2007gb002947 (2008)
Portmann, F. T., Siebert, S. & Döll, P. MIRCA2000-global monthly irrigated and rainfed crop areas around the year 2000: a new high-resolution data set for agricultural and hydrological modeling. Global Biogeochem. Cycles https://doi.org/10.1029/2008gb003435 (2010)
Skalský, R. et al. Global Earth Observation – Benefit Assessment: Now, Next, and Emerging. GEO-BENE global database for bio-physical modeling v.1.0. (Concepts, methodologies and data) (International Institute for Applied Systems Analysis, 2008); https://geo-bene.project-archive.iiasa.ac.at/files/Deliverables/Geo-BeneGlbDb10(DataDescription).pdf
Valin, H. et al. Agricultural productivity and greenhouse gas emissions: trade-offs or synergies between mitigation and food security? Environ. Res. Lett. https://doi.org/10.1088/1748-9326/8/3/035019 (2013)
Havlik, P. et al. Climate change mitigation through livestock system transitions. Proc. Natl Acad. Sci. USA 111, 3709–3714 (2014).
You, L. & Wood, S. An entropy approach to spatial disaggregation of agricultural production. Agric. Syst. 90, 329–347 (2006).
Boddey, R. M. et al. in Management of Biological Nitrogen Fixation for the Development of More Productive and Sustainable Agricultural Systems (eds Ladha, J. K. & Peoples, M. B.) 195–209 (Springer, 1995).
Eyring, V. et al. Overview of IGAC/SPARC Chemistry-Climate Model Initiative (CCMI) community simulations in support of upcoming ozone and climate assessments. SPARC Newsletter 40, 48–66 (2013).
Siebert, S., Portmann, F. T. & Döll, P. Global patterns of cropland use intensity. Remote Sens. (Basel) 2, 1625–1643 (2010).
Animal Feed Resources Information System (Feedipedia, 2012–2017); https://feedipedia.org/
IPNI Estimates of Nutrient Uptake and Removal (IPNI, 2014); http://www.ipni.net/article/IPNI-3296
Acknowledgements
This work resulted in part from a workshop supported by NSF Research Coordination Network awards DEB-1049744/1547041 (awarded to E.D.). X.Z. is supported by the National Science Foundation (CNS-1739823, CBET-2047165, and CBET-2025826). K.N. is supported by a project, JPNP18016, commissioned by the New Energy and Industrial Technology Development Organization (NEDO). FAOSTAT Statistics are collected from FAO member countries, analysed and disseminated with support from the FAO Regular Budget. The views expressed in this publication are those of the authors and do not necessarily reflect the views or policies of the FAO. L.L. is supported by the Spanish Ministry of Economy and Competitiveness (MINECO) and European Commission ERDF Ramón y Cajal grant (RYC‐2016‐20269), Programa Propio from UPM, and acknowledges the Comunidad de Madrid (Spain) and structural funds 2014‐2020 (ERDF and ESF), project AGRISOST‐CM S2018/BAA‐4330 and Spanish MINECO AgroScena-UP (PID2019-107972RB-I00). We acknowledge the global Environment Facility and the UN Environment Programme for the ‘Towards INMS Project’ as a key space to improve understanding of the nitrogen cycle, building the bridge between science and policy.
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X.Z., E.A.D. and L.L. designed the study. T.Z., X.Z. and M.D.L. carried out the analysis for data submitted by F.N.T, N.D.M., C.L., R.T.C., C.D.D., J.G., H.T., K.N., B.L.B., A.P., L.B., A.B., J.C., P.H. and D.L. X.Z., E.A.D. and L.L. wrote the paper with contributions from all authors. All authors reviewed and edited the manuscript.
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Supplementary Information
Supplementary Figs. 1–8 and Tables 1–8.
Supplementary Data 1
A benchmark for nitrogen budget estimates based on the median value and the range of nitrogen budget estimates used in this study.
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Source Data Fig. 5
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Zhang, X., Zou, T., Lassaletta, L. et al. Quantification of global and national nitrogen budgets for crop production. Nat Food 2, 529–540 (2021). https://doi.org/10.1038/s43016-021-00318-5
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DOI: https://doi.org/10.1038/s43016-021-00318-5
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