Abstract
Numerous leaf-level experiments suggest that plant intrinsic water-use efficiency (iWUE) increases under elevated CO2 because of reduced stomatal conductance and enhanced photosynthesis. However, it remains elusive whether this response can be extrapolated to the ecosystem scale, because confounding factors and compensating feedbacks are often involved in ecosystem iWUE variations. Here we develop a machine learning-based framework to disentangle the ecosystem-scale CO2 effects on iWUE and its two components, canopy conductance (Gc) and gross primary productivity (GPP), based on global networks of long-term eddy covariance observations. Our results show widespread CO2-induced enhancement of iWUE across diverse ecosystems, driven predominantly by Gc reduction rather than GPP stimulation. Moreover, three divergent response types are identified across the studied ecosystems, based on the strength and significance of CO2-driven Gc reduction and GPP enhancement, indicating spatially non-uniform responses to rising CO2. Nutrient supply, water availability and biome types are found to be critical factors regulating this spatial heterogeneity. Overall, our study provides observational insights into ecosystem-scale CO2 fertilization effects. Such understandings are essential to inform terrestrial biosphere models for better projections of carbon and water cycles given the intensified changing climate in a CO2-rich future.
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Data availability
All datasets used in this study are available as follows. The FLUXNET2015 EC dataset is available at https://fluxnet.org/data/fluxnet2015-dataset/; the AmeriFlux FLUXNET EC dataset is available at https://ameriflux.lbl.gov/data/flux-data-products/fluxnet-publish/; the AmeriFlux BASE EC dataset is available at https://ameriflux.lbl.gov/data/flux-data-products/base-publish/; the ICOS EC dataset is available at https://www.icos-cp.eu/data-products/2G60-ZHAK; the OzFlux EC dataset is available at https://data.ozflux.org.au/portal/home.jspx; the CASM dataset is available via Zenodo at https://doi.org/10.5281/zenodo.7072511 (ref. 125); the MODIS LAI dataset is available at https://lpdaac.usgs.gov/products/mcd15a3hv006/; the LCSIF NIRv dataset is available via Zenodo at https://doi.org/10.5281/zenodo.14568024 (ref. 126); the CAMS CO2 dataset is available at https://ads.atmosphere.copernicus.eu/datasets/cams-global-greenhouse-gas-inversion?tab=overview; the nitrogen and phosphorous resorption efficiency dataset is available at https://pan.bnu.edu.cn/l/KnHzUj; the global leaf nitrogen and phosphorous concentration dataset is available at https://isp.uv.es/code/try.html; and the CMIP6 simulations are available at https://aims2.llnl.gov/search/cmip6/. The data needed to reproduce the main findings of this study are publicly available via GitHub at https://github.com/Weiwei047/iWUE_CO2. Source data are provided with this paper.
Code availability
The code necessary to reproduce the main findings of this study are publicly available via GitHub at https://github.com/Weiwei047/iWUE_CO2.
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Acknowledgements
This study received funding from the European Research Council (ERC) Synergy Grant ‘Understanding and modeling the Earth System with Machine Learning’ (USMILE) under the Horizon 2020 research and innovation programme (Grant agreement No. 855187). It also received funding from the National Science Foundation Science and Technology Center, Learning the Earth with Artificial intelligence and Physics, LEAP (AGS-2019625). W.Z., A.J.W. and P.G. acknowledge support from the Max Planck-Caltech-Carnegie-Columbia MC3 4 Earth Center, funded by the Max Planck Foundation. X.L. and P.G. acknowledge support from the LEMONTREE project (Land Ecosystem Models based on New Theory, obseRvations and ExperimEnts), funded through the generosity of Eric and Wendy Schmidt by recommendation of the Schmidt Futures programme. C.Z. acknowledges support from the International Max Planck Research School (IMPRS). A.J.W. acknowledges funding from the Alexander‐von‐Humboldt Foundation. We thank J. Fang for his insightful comments, and J. S. Dukes, A. M. Michalak, W. Sun and J. Wen for valuable discussions during W.Z.’s visit to the Carnegie Institution for Science. We also thank O. Skulovich and S. Jeong for preparing soil moisture and LAI datasets. This work used eddy covariance data acquired and shared by the FLUXNET community, including these networks: AmeriFlux, Fluxnet-Canada, ICOS and OzFlux-TERN. The FLUXNET eddy covariance data processing and harmonization was carried out by the ICOS Ecosystem Thematic Center, AmeriFlux Management Project and Fluxdata project of FLUXNET, with the support of the OzFlux office.
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W.Z. and P.G. conceived the study. W.Z., X.L., J.L., and P.G. contributed to early-stage discussions. W.Z. and J.H. collected and preprocessed the data. W.Z. performed the analysis, led the result interpretation and drafted the initial manuscript. Y.H., H.Y., C.Z. and A.J.W. contributed to the development and discussion of the methods. All co-authors reviewed the results and contributed to the writing and revision of the manuscript.
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Nature Ecology & Evolution thanks Songyan Zhu and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Extended data
Extended Data Fig. 1 Site example and aggregated results for the differencing method.
Panels a-c show the isolated CO2 effects for iWUE, Gc, and GPP at an example site, illustrating the quantification of \(\beta\) and \({\rm{SNR}}\) based on actual data. Dark solid lines represent the regression lines fitted between CO2 and \(\delta\) (that is, the difference between the with-CO2 model \({f}_{2}\) and the without-CO2 model \({f}_{1}\)). Shaded areas around the zero horizontal lines (shown as dark dashed lines) indicate the standard deviation of the detrended \(\delta\), which serves as the denominator in the SNR calculation (equation 4 in the main text). Panel d shows the aggregated \(\beta\) values across 63 EC sites. Each row corresponds to a target variable (Gc, GPP, and iWUE), and each column represents an EC site. The sites are categorized into three groups, denoted by different font colours, based on their divergent response patterns (the joint-response pattern, Gc-only pattern, and minimal-response pattern). The colourmap for Gc is inverted relative to GPP and iWUE, so that more bluish colours consistently represent stronger CO2 effects.
Extended Data Fig. 2 Site example and aggregated results for the perturbation method.
Panels a-c show the isolated CO2 effects for iWUE, Gc, and GPP at an example site, illustrating the quantification of \(\Delta {{\rm{Y}}}_{{\rm{CO}}2}\) based on actual data. Black scatters and lines represent the control experiment (CTL), while colour-coded scatters and lines represent the mute_CO2 experiment. The scatters represent the annual values. The annual values of iWUE and Gc are obtained by taking the median, while annual GPP is calculated by taking the sum over the growing season. For inter-site comparison, original annual values are normalized by the site-specific mean and represented as percentage changes relative to the site mean. Solid lines represent the long-term trends derived from annual data. The difference in trend slopes between CTL and mute_CO2 experiments is calculated as \(\Delta {{\rm{Y}}}_{{\rm{CO}}2}\). Panel d shows the aggregated \(\Delta {{\rm{Y}}}_{{\rm{CO}}2}\) values across 63 EC sites. Each row corresponds to a target variable (Gc, GPP, and iWUE), and each column represents an EC site. The sites are categorized into three groups, denoted by different font colours, based on their divergent response patterns (the joint-response pattern, Gc-only pattern, and minimal-response pattern). The colourmap for Gc is inverted relative to GPP and iWUE, so that more bluish colours consistently represent stronger CO2 effects.
Extended Data Fig. 3 Violin plots illustrating the distributions of the β factor for iWUE, GPP, and Gc.
a. \(\beta\) distributions for direct CO2 effects. b. \(\beta\) distributions for total CO2 effects, which include both direct and indirect CO2 effects. The shape of each violin represents the probability density of data at different \(\beta\) values, calculated using kernel density estimation. Broader sections of the violin indicate higher data density. The error bar within each violin represents the data range, with the two ends corresponding to the minimum and maximum values, respectively. The black-edged circle within each error bar represents the median \(\beta\) (\(\widetilde{\beta }\)) across 63 sites, with specific median value annotated below each circle. Semi-transparent scatter points overlaid on each violin represent the individual \(\beta\) values at each EC site.
Extended Data Fig. 4 Site-specific results for direct and total CO2 effects, along with the trend slope of peak leaf area index.
Peak leaf area index (LAIpeak) is defined as the 95th percentile of LAI for each year. Cross symbols (×) denote sites with significant LAIpeak trends (P < 0.05), based on a two-sided Mann-Kendall trend test. Dot (•) symbols indicate sites with detectable CO2 effects. The CO2 effect is considered detectable when \(\left|{\rm{SNR}}\right|\ge 1\), where SNR measures the relative strength of CO2 effects (signal) against inherent variability in data (noise). Red boxes highlight the seven sites that support the canopy size affects leaf physiology hypothesis, specifically, they (1) exhibit an increasing trend in the annual peak LAI, (2) show a notable direct CO2 effect on GPP (to ensure the enhanced LAIpeak is more likely driven by CO2 rather than other factors), and (3) exhibit a less responsive GPP enhancement than Gc reduction (\(\left|{{{\upbeta }}}_{{\rm{GPP}},{\rm{total}}}\right| < \left|{{{\upbeta }}}_{{\rm{Gc}},{\rm{total}}}\right|\), where the ‘total’ subscript indicates total CO2 effects).
Extended Data Fig. 5 Comparison between EC observations and CMIP6 simulations.
a. Comparison of \({\beta }_{{\rm{iWUE}}}\). The horizontal dashed line indicates the spatial median \({\beta }_{{\rm{iWUE}}}\) (\({\widetilde{\beta }}_{{\rm{iWUE}}}\)) across 63 sites, derived from EC observations. Bars represent \({\widetilde{\beta }}_{{\rm{iWUE}}}\) derived from CMIP6 model ensembles, obtained by first averaging across CMIP6 models at each site and then calculating the spatial median across sites. Markers overlaid on the bars represent the individual \({\widetilde{\beta }}_{{\rm{iWUE}}}\) from each CMIP6 model. Error bars indicate the standard deviation of \({\widetilde{\beta }}_{{\rm{iWUE}}}\) across models. b. \(\beta\) comparison for direct CO2 effects on GPP and Gc. c. \(\beta\) comparison for total CO2 effects on GPP and Gc. Diagonal lines in b and c represent regimes in which GPP and Gc responses are proportionally balanced (\(\left|{\beta }_{{\rm{GPP}}}\right|=\left|{\beta }_{{\rm{Gc}}}\right|\)), indicating that CO2-enhanced iWUE is jointly driven by GPP stimulation and Gc reduction (referred to as the joint-driven regime). Regimes above the diagonal line indicate that CO2-enhanced iWUE is dominantly driven by increased GPP (\(\left|{\beta }_{{\rm{GPP}}}\right| > \left|{\beta }_{{\rm{Gc}}}\right|\), referred to as the GPP-dominance regime), whereas areas below the line represent the Gc-dominance regime (\(\left|{\beta }_{{\rm{Gc}}}\right| > \left|{\beta }_{{\rm{GPP}}}\right|\)), in which Gc reduction dominantly drives CO2-enhanced iWUE.
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Zhan, W., Lian, X., Liu, J. et al. Reduced water loss rather than increased photosynthesis controls CO2-enhanced water-use efficiency. Nat Ecol Evol 9, 1571–1584 (2025). https://doi.org/10.1038/s41559-025-02761-0
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DOI: https://doi.org/10.1038/s41559-025-02761-0
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