Abstract
Projected increases in the intensity and frequency of droughts in the twenty-first century are expected to cause a substantial negative impact on terrestrial gross primary productivity (GPP). Yet, the relative role of soil water supply (indicated by soil moisture) and atmospheric water demand (indicated by vapour pressure deficit, VPD) on GPP remains debated, primarily due to their strong covariations, the presence of confounding factors and unresolved causal relationships among the interconnected hydrometeorological drivers of GPP. Here using a causality-guided explainable artificial intelligence framework, we show that soil moisture is the dominant regulator of water stress, surpassing the role of VPD, when and where soil water supply limits ecosystem functions. Temporally, we use in situ flux tower data to demonstrate that soil moisture dominates the GPP response during periods of insufficient soil water supply. Spatially, we assess the global spatial patterns of satellite sun-induced chlorophyll fluorescence (a proxy for GPP) in water-limited regions and demonstrate that they are mostly dominated by soil moisture. Conversely, VPD plays a greater role in controlling the temporal and spatial variations in GPP than soil moisture when and where soil water supply is not limited. The relative role of soil moisture and VPD is modulated by plant adaptation to long-term climatological aridity. Our findings advance the understanding of the impacts of soil and atmospheric dryness on ecosystem photosynthesis. They provide crucial insights into how terrestrial ecosystems respond to increasing aridity and more frequent droughts, particularly given the potential ecosystem shifts from energy to water limitation.
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Data availability
All data used in this study are openly available: FLUXNET2015 at https://fluxnet.org/data/fluxnet2015-dataset/, TROPOMI SIF at ftp://fluo.gps.caltech.edu/data/tropomi/, monthly ERA5-Land reanalysis data at https://cds.climate.copernicus.eu/cdsapp#!/dataset/reanalysis-era5-land-monthly-means?tab=form, the global land cover map of Moderate Resolution Imaging Spectroradiometer MCD12C1 product (version 6) for 2020 at https://lpdaac.usgs.gov/products/mcd12c1v006/, the TerraClimate wetness index at https://www.climatologylab.org/terraclimate.html, global apparent rooting depths at https://zenodo.org/records/5515246, Global Ψ50 at https://figshare.com/articles/dataset/Datasets_Global_ecosystem-scale_plant_hydraulic_traits_retrieved_using_model-data_fusion/13350713/4, global degrees of anisohydricity at https://github.com/agkonings/isohydricity and global canopy height for 2020 at https://www.research-collection.ethz.ch/handle/20.500.11850/609802.
Code availability
The corresponding R code scripts, trained XGBoost models, representative samples used for Shapley value calculation and original Shapley value results are available via Zenodo at https://doi.org/10.5281/zenodo.15314104 (ref. 84).
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Acknowledgements
This research is a contribution to Understanding and Modelling the Earth System with Machine Learning European Research Council grant (ERC CU18-3746). X.L. was supported by the Land Ecosystem Models Based on New Theory, Observations and Experiments project, funded through the generosity of E. and W. Schmidt by recommendation of the Schmidt Futures programme. W.Z. acknowledges the funding from Max Planck-Caltech-Carnegie-Columbia MC3 4 Earth Center. P.G. acknowledges the funding from the US National Science Foundation Learning the Earth with Artificial Intelligence and Physics science and technology center (AGS-2019625). We thank L. Zhang for her assistance in creating the conceptual figure.
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J.L. and P.G. conceptualized the study. J.L. designed the research. J.L., Q.W., W.Z. and X.L. compiled the data. J.L. performed the analysis and drafted the initial paper. All co-authors commented on the results and contributed to the writing of the paper.
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Extended data
Extended Data Fig. 1 Schematic of the local explanation of GPP prediction using the Shapley value.
The Shapley value can provide local explanations for predictions made by a ‘black-box’ machine learning model, that is the contributions of individual predictors to the difference between a specific model prediction and a baseline value. SW: incoming shortwave radiation; TA: air temperature; VPD: vapour pressure deficit; SM: soil moisture.
Extended Data Fig. 2 Comparison of long-term climatological aridity and ecosystem-scale traits between SM- and VPD-dominated pixels across water-limited regions.
Comparison of wetness index (a), apparent rooting depth (Zr, b), xylem water potential measured at 50% xylem conductivity loss (Ψ50, c), degrees of anisohydricity (d), and canopy height (e) between SM- and VPD-dominated pixels across water-limited regions. Only the PFTs with a sample size greater than 50 for both SM- and VPD-dominated pixels are shown. The central lines of box plots indicate the median values, the upper and lower box limits represent the 75% and 25% percentiles, and the upper and lower whiskers extend to 1.5 times the interquartile range, respectively. The comparison is done by Welch’s two-tailed t-tests, with adjusted p-values (Bonferroni correction) indicating different significant levels: P < 0.05 (*), P < 0.01 (**), P < 0.001 (***), and P < 0.0001 (****). The numbers in parentheses (e) represent the sample size for each PFT in a-e.
Extended Data Fig. 3 Comparison of long-term climatological aridity and ecosystem-scale traits between SM- and VPD-dominated pixels across energy-limited regions.
Comparison of wetness index (a), apparent rooting depth (Zr, b), xylem water potential measured at 50% xylem conductivity loss (Ψ50, c), degrees of anisohydricity (d), and canopy height (e) between SM- and VPD-dominated pixels across energy-limited regions. Only the PFTs with a sample size greater than 50 for both SM- and VPD-dominated pixels are shown. The central lines of box plots indicate the median values, the upper and lower box limits represent the 75% and 25% percentiles, and the upper and lower whiskers extend to 1.5 times the interquartile range, respectively. The comparison is done by Welch’s two-tailed t-tests, with adjusted p-values (Bonferroni correction) indicating different significant levels: P < 0.05 (*), P < 0.01 (**), P < 0.001 (***), and P < 0.0001 (****). The numbers in parentheses (e) represent the sample size for each PFT in a-e.
Extended Data Fig. 4 Dependencies of Causal Shapley values under water-limited conditions.
a-p, Relationships between Causal Shapley values and SW, TA, VPD, and SM for eddy covariance measurements across biomes of forests (a-d), savannahs and shrublands (e-h), and grasslands (i-l), as well as TROPOMI SIF observations over global arid and semi-arid regions (m-p). Data from two sandy forests are indicated by a dashed box in (d). Causal Shapley values are presented in consistent units with the eddy covariance half-hourly GPP data (µmol m−2 s−1, a-l) and TROPOMI SIF (mW m−2 sr−1 nm−1, m-p). SW: incoming shortwave radiation; TA: air temperature; VPD: vapour pressure deficit; VWC: volumetric water content.
Extended Data Fig. 5 Dependencies of Causal Shapley values under energy-limited conditions.
a-p, Relationships between Causal Shapley values and SW, TA, VPD, and SM for eddy covariance measurements across biomes of forests (a–d), drylands (e–h), and grasslands (i–l), as well as TROPOMI SIF observations over global humid regions (m–p). Causal Shapley values are presented in consistent units with the eddy covariance half-hourly GPP data (µmol m−2 s−1, a–l) and TROPOMI SIF (mWm−2 sr−1 nm−1, m–p). SW: incoming shortwave radiation; TA: air temperature; VPD: vapour pressure deficit; VWC: volumetric water content.
Extended Data Fig. 6 Relative contributions of SM and VPD to GPP along the gradient of SM under water-limited conditions.
Bars represent the ratios of the average absolute causal Shapely values for SM to those for VPD when SM is filtered based on its percentiles. Asterisks indicate a statistically significant difference between the absolute causal Shapely values for SM and VPD for different biomes (Welch’s two-tailed t-tests, P < 0.05).
Extended Data Fig. 7 Relationships between evaporative fraction (EF) and soil volumetric water content (VWC) across eddy covariance sites.
Critical soil moisture threshold are identified for forests (a), savannahs-shrublands (b), and grasslands (c) using linear-plateau models (see Methods). n indicates the number of sites involved in the analysis. The fitted parameters are statistically significant (two-sided, P < 0.001).
Extended Data Fig. 8 Relative contributions of SM and VPD to TROPOMI SIF in regions where they are deemed comparably equivalent.
The global pattern of the ratio between absolute causal Shapley values for SM and VPD across water-limited and energy-limited regions where the contributions of SM and VPD are deemed comparatively equivalent. These regions are defined as areas where the absolute causal Shapley value for SM (VPD) exceeds that for VPD (SM) by no more than 20%. Locations and categories of the FLUXNET2015 sites used in this study are indicated in the figure. Latitude and longitude are in degrees.
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Liu, J., Wang, Q., Zhan, W. et al. When and where soil dryness matters to ecosystem photosynthesis. Nat. Plants 11, 1390–1400 (2025). https://doi.org/10.1038/s41477-025-02024-7
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DOI: https://doi.org/10.1038/s41477-025-02024-7