Abstract
Ocean net primary production fixes dissolved carbon into organic matter while producing O2, driving the biological carbon pump that contributes to ocean CO2 uptake. The Southern Ocean plays a critical role in carbon export, yet its productivity estimates remain highly uncertain due to limited observations. Here we constrain Southern Ocean (south of ~44° S) net primary production by linking Coupled Model Intercomparison Project Phase 6 (CMIP6)-modelled productivity to modelled air–sea O2 fluxes and applying O2 flux estimates derived from airborne O2/N2 observations. We find an annual net primary production of 6.5 ± 1.36 PgC yr−1, substantially higher than most CMIP6 model and satellite-based estimates, but consistent with Argo oxygen-based estimates. We show that CMIP6 models with underestimated productivity exhibit weak summer CO2 uptake, with some also showing excessive summer temperature-driven outgassing. Together, these models produce incorrect seasonal CO2 flux cycles with summer outgassing, whereas observation-based estimates indicate summer uptake. These errors may stem from inadequate model representation of ocean vertical mixing, which affects nutrient supply, stratification and heat redistribution. Our productivity estimates provide quantitative benchmarks that, combined with constraints from airborne CO2 observations and surface ocean pCO2 and temperature observations, reduce uncertainty in estimates of model-projected end-of-century Southern Ocean CO2 uptake by 53%.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$32.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to the full article PDF.
USD 39.95
Prices may be subject to local taxes which are calculated during checkout





Similar content being viewed by others
Data availability
All HIPPO 10-s merged data are available at https://data.eol.ucar.edu/dataset/112.123 (ref. 70). We use updated HIPPO AO2 data from https://data.eol.ucar.edu/dataset/112.005 (ref. 71), https://data.eol.ucar.edu/dataset/117.082 (ref. 72), https://data.eol.ucar.edu/dataset/121.009 (ref. 73), https://data.eol.ucar.edu/dataset/248.010 (ref. 74) and https://data.eol.ucar.edu/dataset/249.010 (ref. 75). All ORCAS 10-s merge data are available at https://data.eol.ucar.edu/dataset/490.024 (ref. 76). Here, we use updated ORCAS AO2 data from https://data.eol.ucar.edu/dataset/490.015 (ref. 77). All ATom 10-s merge data are available at https://daac.ornl.gov/cgi-bin/dsviewer.pl?ds_id=1925 (ref. 78), including the version of AO2 data used here. Ground station O2/N2 measurements from the Scripps O2 Program are available at https://doi.org/10.6075/J0WS8RJR (ref. 53). CMIP6 data are available through the Earth System Grid Federation (ESGF; https://esgf-node.llnl.gov/projects/esgf-llnl/). Surface ocean pCO2 data are downloaded at https://www.ncei.noaa.gov/access/ocean-carbon-acidification-data-system/oceans/SPCO2_1982_present_ETH_SOM_FFN.html (ref. 50). SST and sea surface salinity data from EN4 are downloaded at https://www.metoffice.gov.uk/hadobs/en4/. Jena APO inversion data are available at https://www.bgc-jena.mpg.de/CarboScope/?ID=apo. Simulations of APO components from APO-MIP1 are available at https://gdex.ucar.edu/datasets/d010018/ (ref. 79). The data needed to reproduce Figs. 1–5 and Extended Data Figs. 1–7 are available via Zenodo at https://doi.org/10.5281/zenodo.17969932 (ref. 80).
References
Chavez, F. P., Messié, M. & Pennington, J. T. Marine primary production in relation to climate variability and change. Annu. Rev. Mar. Sci. 3, 227–260 (2011).
Henson, S. A., Sanders, R. & Madsen, E. Global patterns in efficiency of particulate organic carbon export and transfer to the deep ocean. Global Biogeochem. Cycles 26, GB1028 (2012).
Arteaga, L. A., Pahlow, M., Bushinsky, S. M. & Sarmiento, J. L. Nutrient controls on export production in the Southern Ocean. Global Biogeochem. Cycles 33, 942–956 (2019).
Pan, X. L., Lai, X., Makabe, R., Hirano, D. & Watanabe, Y. W. Spatiotemporal high-resolution mapping of biological production in the Southern Ocean. Commun. Earth Environ. 4, 1–8 (2023).
Falkowski, P. G., Barber, R. T. & Smetacek, V. Biogeochemical controls and feedbacks on ocean primary production. Science 281, 200–206 (1998).
Gruber, N., Landschützer, P. & Lovenduski, N. S. The variable Southern Ocean carbon sink. Annu. Rev. Mar. Sci. 11, 159–186 (2019).
Eyring, V. et al. Overview of the Coupled Model Intercomparison Project Phase 6 (CMIP6) experimental design and organization. Geosci. Model Dev. 9, 1937–1958 (2016).
Mongwe, N. P., Vichi, M. & Monteiro, P. M. S. The seasonal cycle of pCO2 and CO2 fluxes in the Southern Ocean: diagnosing anomalies in CMIP5 Earth system models. Biogeosciences 15, 2851–2872 (2018).
Anav, A. et al. Evaluating the land and ocean components of the global carbon cycle in the CMIP5 Earth system models. J. Clim. 26, 6801–6843 (2013).
Kessler, A. & Tjiputra, J. The Southern Ocean as a constraint to reduce uncertainty in future ocean carbon sinks. Earth Syst. Dynam. 7, 295–312 (2016).
Johnson, K. S. & Bif, M. B. Constraint on net primary productivity of the global ocean by Argo oxygen measurements. Nat. Geosci. 14, 769–774 (2021).
Arrigo, K. R., van Dijken, G. L. & Bushinsky, S. Primary production in the Southern Ocean, 1997–2006. J. Geophys. Res. Oceans 113, C08004 (2008).
Behrenfeld, M. J. & Falkowski, P. G. Photosynthetic rates derived from satellite-based chlorophyll concentration. Limnol. Oceanogr. 42, 1–20 (1997).
Nevison, C. et al. Net community production in the Southern Ocean: Insights from comparing atmospheric potential oxygen to satellite ocean color algorithms and ocean models. Geophys. Res. Lett. 45, 10549–10559 (2018).
Schlitzer, R. Carbon export fluxes in the Southern Ocean: results from inverse modeling and comparison with satellite-based estimates. Deep Sea Res. II 49, 1623–1644 (2002).
Johnson, R., Strutton, P. G., Wright, S. W., McMinn, A. & Meiners, K. M. Three improved satellite chlorophyll algorithms for the Southern Ocean. J. Geophys. Res. Oceans 118, 3694–3703 (2013).
Behrenfeld, M. J., Boss, E., Siegel, D. A. & Shea, D. M. Carbon-based ocean productivity and phytoplankton physiology from space. Global Biogeochem. Cycles 19, GB1006 (2005).
Westberry, T., Behrenfeld, M. J., Siegel, D. A. & Boss, E. Carbon-based primary productivity modeling with vertically resolved photoacclimation. Global Biogeochem. Cycles 22, GB2024 (2008).
Yamaguchi, R., Kouketsu, S., Kosugi, N. & Ishii, M. Global upper ocean dissolved oxygen budget for constraining the biological carbon pump. Commun. Earth Environ. 5, 1–12 (2024).
Nevison, C. D. et al. Estimating net community production in the Southern Ocean based on atmospheric potential oxygen and satellite ocean color data. Global Biogeochem. Cycles 26, GB1020 (2012).
Bushinsky, S. M., Gray, A. R., Johnson, K. S. & Sarmiento, J. L. Oxygen in the Southern Ocean from Argo floats: determination of processes driving air–sea fluxes. JGR Oceans 122, 8661–8682 (2017).
Garcia, H. E. & Keeling, R. F. On the global oxygen anomaly and air–sea flux. J. Geophys. Res.Ocean 106, 31155–31166 (2001).
Najjar, R. G. & Keeling, R. F. Mean annual cycle of the air–sea oxygen flux: a global view. Global Biogeochem. Cycles 14, 573–584 (2000).
Bushinsky, S. M. et al. Reassessing Southern Ocean air–sea CO2 flux estimates with the addition of biogeochemical float observations. Global Biogeochem. Cycles 33, 1370–1388 (2019).
Rödenbeck, C., Quéré, C. L., Heimann, M. & Keeling, R. F. Interannual variability in oceanic biogeochemical processes inferred by inversion of atmospheric O2/N2 and CO2 data. Tellus B 60, 685–705 (2008).
Jin, Y. et al. Improved atmospheric constraints on Southern Ocean CO2 exchange. Proc. Natl Acad. Sci. 121, e2309333121 (2024).
Jin, Y. et al. The Atmospheric Potential Oxygen forward Model Intercomparison Project (APO-MIP1): evaluating simulated atmospheric transport of air–sea gas exchange tracers and APO flux products. Geosci. Model Dev. 18, 5937–5969 (2025).
Jin, Y. et al. A mass-weighted isentropic coordinate for mapping chemical tracers and computing atmospheric inventories. Atmos. Chem. Phys. 21, 217–238 (2021).
Jin, Y. et al. Seasonal tropospheric distribution and air–sea fluxes of atmospheric potential oxygen from global airborne observations. Global Biogeochem. Cycles 37, e2023GB007827 (2023).
Wofsy, S. C. HIAPER Pole-to-Pole Observations (HIPPO): fine-grained, global-scale measurements of climatically important atmospheric gases and aerosols. Phil. Trans. R. Soc. A 369, 2073–2086 (2011).
Stephens, B. B. et al. The O2/N2 ratio and CO2 airborne Southern Ocean study. Bull. Am. Meteorol. Soc. 99, 381–402 (2018).
Thompson, C. et al. The NASA Atmospheric Tomography (ATom) mission: Imaging the chemistry of the global atmosphere. Bull. Am. Meteorol. Soc. 103, E761–E790 (2022).
Bowman, K. W., Cressie, N., Qu, X. & Hall, A. A hierarchical statistical framework for emergent constraints: application to snow-albedo feedback. Geophys. Res. Lett. 45, 13050–13059 (2018).
Hayward, T. L. The shallow oxygen maximum layer and primary production. Deep Sea Res. I 41, 559–574 (1994).
Manizza, M., Keeling, R. F. & Nevison, C. D. On the processes controlling the seasonal cycles of the air–sea fluxes of O2 and N2O: A modelling study. Tellus B 64, 18429 (2012).
Keeling, R. F. & Shertz, S. R. Seasonal and interannual variations in atmospheric oxygen and implications for the global carbon cycle. Nature 358, 723–727 (1992).
Williamson, D. B. & Sansom, P. G. How are emergent constraints quantifying uncertainty and what do they leave behind?. Bull. Am. Meteorol. Soc. 100, 2571–2587 (2019).
De Boyer Montégut, C., Madec, G., Fischer, A. S., Lazar, A. & Iudicone, D. Mixed layer depth over the global ocean: An examination of profile data and a profile-based climatology. J. Geophys. Res. 109, C12003 (2004).
Long, M. C. et al. Strong Southern Ocean carbon uptake evident in airborne observations. Science 374, 1275–1280 (2021).
Rödenbeck, C. et al. Data-based estimates of the ocean carbon sink variability—first results of the Surface Ocean pCO2 Mapping intercomparison (SOCOM). Biogeosciences 12, 7251–7278 (2015).
Friedlingstein, P. et al. Global Carbon Budget 2024. Earth Syst. Sci. Data 17, 965–1039 (2025).
Luo, F., Ying, J., Liu, T. & Chen, D. Origins of Southern Ocean warm sea surface temperature bias in CMIP6 models. npj Clim. Atmos. Sci. 6, 127 (2023).
Mitchell, B. G., Brody, E. A., Holm-Hansen, O., McClain, C. & Bishop, J. Light limitation of phytoplankton biomass and macronutrient utilization in the Southern Ocean. Limnol. Oceanogr. 36, 1662–1677 (1991).
Mears, C., Lee, T., Ricciardulli, L., Wang, X. & Wentz, F. Improving the accuracy of the Cross-Calibrated Multi-Platform (CCMP) ocean vector winds. Remote Sensing 14, 4230 (2022).
Wanninkhof, R. Relationship between wind speed and gas exchange over the ocean revisited. Limnol. Ocean Methods 12, 351–362 (2014).
Terhaar, J. et al. Assessment of global ocean biogeochemistry models for ocean carbon sink estimates in RECCAP2 and recommendations for future studies. J. Adv. Model. Earth Syst. 16, e2023MS003840 (2024).
Pinkerton, M. H. et al. Evidence for the impact of climate change on primary producers in the Southern Ocean. Front. Ecol. Evol. 9, 592027 (2021).
Zhao, H., Manizza, M., Lozier, M. S. & Cassar, N. Greener green and bluer blue: ocean poleward greening over the past two decades. Science 388, 1337–1340 (2025).
Akima, H. A method of bivariate interpolation and smooth surface fitting for irregularly distributed data points. ACM Trans. Math. Softw. 4, 148–159 (1978).
Jersild, A., Landschützer, P., Gruber, N. & Bakker, D. C. E. An Observation-Based Global Monthly Gridded Sea Surface pCO2 and Air–Sea CO2 Flux Product from 1982 Onward and Its Monthly Climatology (NCEI Accession 0160558) version 8.8 (NOAA National Centers for Environmental Information, 2024).
Takahashi, T. et al. Global sea–air CO2 flux based on climatological surface ocean pCO2, and seasonal biological and temperature effects. Deep Sea Res. II 49, 1601–1622 (2002).
Good, S. A., Martin, M. J. & Rayner, N. A. EN4: Quality controlled ocean temperature and salinity profiles and monthly objective analyses with uncertainty estimates. J. Geophys. Res. Oceans 118, 6704–6716 (2013).
Keeling, R. F. & Morgan, E. J. Scripps O2 Program Data. UC San Diego Library Digital Collections https://doi.org/10.6075/J0WS8RJRs (2019).
Stephens, B. B. et al. Airborne measurements of oxygen concentration from the surface to the lower stratosphere and pole to pole. Atmos. Meas. Tech. 14, 2543–2574 (2021).
BentJ. Airborne Oxygen Measurements over the Southern Ocean as an Integrated Constraint of Seasonal Biogeochemical Processes (University of California, San Diego, 2014).
Keeling, R. F., Walker, S. J. & Paplawsky, W. Span Sensitivity of the Scripps Interferometric Oxygen Analyzer (2020).
Keeling, R. F., Manning, A. C., Paplawsky, W. J. & Cox, A. C. On the long-term stability of reference gases for atmospheric O2/N2 and CO2 measurements. Tellus B 59, 3–14 (2007).
Jacobson, A. R. et al. CarbonTracker CT2022. NOAA Global Monitoring Laboratory https://doi.org/10.25925/Z1GJ-3254 (2023).
Hersbach, H. et al. The ERA5 global reanalysis. Q. J. R. Meteorolog. Soc. 146, 1999–2049 (2020).
Kosaka, Y. et al. The JRA-3Q Reanalysis. J. Meteor. Soc. Japan 102, 49–109 (2024).
Tsujino, H. et al. JRA-55 based surface dataset for driving ocean–sea-ice models (JRA55-do). Ocean Model 130, 79–139 (2018).
Gelaro, R. et al. The Modern-Era Retrospective Analysis for Research and Applications, Version 2 (MERRA-2). J. Clim. 30, 5419–5454 (2017).
Hamme, R. C. & Emerson, S. R. The solubility of neon, nitrogen and argon in distilled water and seawater. Deep Sea Res. I 51, 1517–1528 (2004).
Jin, X., Najjar, R. G., Louanchi, F. & Doney, S. C. A modeling study of the seasonal oxygen budget of the global ocean. J. Geophys. Res. 112, C05017 (2007).
Griffies, S. M. et al. OMIP contribution to CMIP6: experimental and diagnostic protocol for the physical component of the Ocean Model Intercomparison Project. Geosci. Model Dev. 9, 3231–3296 (2016).
Orr, J. C. et al. Biogeochemical protocols and diagnostics for the CMIP6 Ocean Model Intercomparison Project (OMIP). Geosci. Model Dev. 10, 2169–2199 (2017).
Danabasoglu, G. et al. North Atlantic simulations in Coordinated Ocean-ice Reference Experiments phase II (CORE-II). Part II: inter-annual to decadal variability. Ocean Model 97, 65–90 (2016).
O’Neill, B. C. et al. The Scenario Model Intercomparison Project (ScenarioMIP) for CMIP6. Geosci. Model Dev. 9, 3461–3482 (2016).
Weatherhead, E. C. et al. Factors affecting the detection of trends: statistical considerations and applications to environmental data. J. Geophys. Res. Atmos. 103, 17149–17161 (1998).
Wofsy, S. C. HIPPO Merged 10-Second Meteorology, Atmospheric Chemistry, and Aerosol Data. Version 1.0 (UCAR/NCAR - Earth Observing Laboratory, 2017); https://doi.org/10.3334/CDIAC/HIPPO_010
Stephens, B. et al. HIPPO-1 Airborne Oxygen Instrument. Version 2.0 (UCAR/NCAR—Earth Observing Laboratory, 2021); https://doi.org/10.5065/D6J38QVV
Stephens, B. et al. HIPPO-2 Airborne Oxygen Instrument. Version 2.0 (UCAR/NCAR—Earth Observing Laboratory, 2021); https://doi.org/10.5065/D65Q4TF0
Stephens, B. et al. HIPPO-3 Airborne Oxygen Instrument. Version 2.0 (UCAR/NCAR—Earth Observing Laboratory, 2021); https://doi.org/10.5065/D67H1GXJ
Stephens, B. et al. HIPPO-4 Airborne Oxygen Instrument. Version 2.0 (UCAR/NCAR—Earth Observing Laboratory, 2021); https://doi.org/10.5065/D679431D
Stephens, B. et al. HIPPO-5 Airborne Oxygen Instrument. Version 2.0 (UCAR/NCAR—Earth Observing Laboratory, 2021); https://doi.org/10.5065/D6WW7G0D
Stephens, B. ORCAS Merge Products. Version 1.0 (UCAR/NCAR—Earth Observing Laboratory, 2017); https://doi.org/10.5065/D6SB445X
Stephens, B. et al. ORCAS Airborne Oxygen Instrument. Version 2.0 (UCAR/NCAR—Earth Observing Laboratory, 2021); https://doi.org/10.5065/D6N29VC6
Wofsy, S. ATom: Merged Atmospheric Chemistry, Trace Gases, and Aerosols, Version 2 (Version 2.0) (ORNL Distributed Active Archive Center, 2021); https://doi.org/10.3334/ORNLDAAC/1925
Stephens, B. et al. Atmospheric Potential Oxygen Forward Model Intercomparison Project (APO-MIP) (UCAR/NCAR—Research Data Archive, 2025); https://doi.org/10.5065/F3PW-A676
Jin, Y. Data and code for atmospheric oxygen constraints on Southern Ocean productivity and drivers of carbon uptake. Zenodo https://doi.org/10.5281/zenodo.17969932 (2025).
Acknowledgements
We acknowledge the efforts of the full HIPPO, ORCAS and ATom science teams and the pilots and crew of the NSF NCAR GV and NASA DC-8, as well as the NSF NCAR and NASA project managers, field support staff and logistics experts. Atmospheric O2 measurements on HIPPO were supported by NSF grants ATM-0628519 and ATM-0628388. ORCAS was supported by NSF grants PLR-1501993, PLR-1502301, PLR-1501997 and PLR-1501292. Atmospheric O2 measurements on ATom-1 were supported by NSF grants AGS-1547626 and AGS-1547797. Atmospheric O2 measurements on ATom 2–4 were supported by NSF grants AGS-1623745 and AGS-1623748. The recent atmospheric measurements of the Scripps O2 Program have been supported by NSF through grants OPP-1922922 and OPP-2329254, and by the National Oceanic and Atmospheric Administration (NOAA) via grant NA20OAR4320278. For sharing O3, N2O and H2O measurements, we thank J. Elkins, E. Hintsa and F. Moore for ATom-1 N2O data; R.-S. Gao and R. Spackman for HIPPO O3 data; I. Bourgeois, J. Peischl, T. Ryerson and C. Thompson for ATom O3 data; S. Beaton, M. Diao and M. Zondlo for HIPPO and ORCAS H2O data; and G. Diskin and J. DiGangi for ATom H2O data. We acknowledge atmospheric transport modellers, including J. Vance and M. Long (CAM-SD), Y. Niwa (NICAM) and P. K. Patra (MIROC4-ACTM), for providing atmospheric simulations of APO components that are used in this study. Y.J. acknowledges the Advanced Study Program Postdoctoral Fellowship in the NSF National Center for Atmospheric Research. This material is based upon work supported by the NSF National Center for Atmospheric Research, which is a major facility sponsored by the US National Science Foundation under Cooperative Agreement No. 1852977. M.M. was supported by the National Recovery and Resilience Plan project TeRABIT (Terabit network for Research and Academic Big data in Italy – IR0000022 – PNRR Missione 4, Componente 2, Investimento 3.1 CUP I53C21000370006) in the frame of the European Union – NextGenerationEU funding.
Author information
Authors and Affiliations
Contributions
Y.J. conceived of the project, conducted the analysis, generated the figures and wrote the paper. B.S. and M.L. contributed to the organization of the paper. B.S., E.M., and R.K. provided O2 measurements. M.M., N.L., and C.N. contributed to the analysis of model simulations. All authors contributed to reviewing and editing the text.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Geoscience thanks Sara Mikaloff-Fletcher and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Primary Handling Editor: James Super, in collaboration with the Nature Geoscience team. Peer reviewer reports are available.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended data
Extended Data Fig. 2 Cross sections of airborne δ(O2/N2)* observations of 12 campaigns.
a, HIPPO-1 (mean date: 2009-01-18). b, ORCAS-1 (2016-01-20). c, ORCAS-2 (2016-02-06). d, ATom-2 (2017-02-09). e, ORCAS-3 (2016-02-24). f, HIPPO-3 (2010-04-05). g, ATom-4 (2018-05-07). h, HIPPO-4 (2011-06-28). i, ATom-1 (2016-08-11). j, HIPPO-5 (2011-08-29). k, ATom-3 (2017-10-12). l, HIPPO-2 (2009-11-10). Colors show the observed δ(O2/N2)* averaged into 2.5° latitude and 50-mbar pressure boxes with campaign averages (75-25°S, 1000-300 mbar) removed. Panels are ordered by the mean date of the year of each campaign. For boxes with fewer than 7 observations, we extrapolated using the Akima function (ref. 49) only for visualization purposes in the figure. Gray contour lines show the observed θe. Numbers of 10-s measurements within each latitude-pressure box are shown in Supplementary Fig. S1.
Extended Data Fig. 3 Flux components used to correct the observed surface seasonal δ(O2/N2)* flux cycle to derive the seasonal non-thermal air-sea O2 flux cycle.
(a–c) Monthly average air-sea thermal-driven O2 flux, air-sea N2 flux, and air-sea Ar flux calculated using ocean heat flux from four reanalyses, averaged from 2009 to 2018. (d) Sum of monthly average (2009 to 2018) air-land O2 flux and O2 fossil fuel burning consumption calculated using monthly average posterior land CO2 flux and prior fossil fuel CO2 emission from CarbonTracker 2022, converted to O2 flux. By comparison, the net \({{\rm{F}}}_{{{\rm{O}}}_{2}}^{{\rm{ocn}}}\) has a seasonal cycle amplitude of 5.0 Tmol day−1. The correction is presented in Supplementary Eq. S3.
Extended Data Fig. 4 Emergent constraint on growing season (October to March) Southern Ocean (SO) net community production (NCP) using the seasonal net outgassing of the non-thermal O2 flux cycle (SNObio).
We use the variable ‘fbddtdic’ as a proxy for NCP, defined as the rate of change of DIC due to biological activity, which is available in only 8 of the 22 models and experiments analyzed here. The emergent constraint method is identical to that reported in Fig. 3. The red point with error bars denotes the mean and standard deviation of constrained NCP (1.5 ± 0.20 PgC yr−1) and SNObio derived using HEC (Methods). We focus specifically on growing season (October to March) NCP because SNObio measures growing season net O2 outgassing that directly relates to biological activities. During winter, negative NCP from respiration and limited photosynthesis does not correlate with SNObio. We note that previous studies suggest that the model variable ‘epc100’ (Extended Data Fig. 5e), which represents the export production at 100-m, can serve as a proxy for NCP, but significant uncertainty arises from temporal variations in organic carbon storage across models (refs. 14,20). Therefore, we do not use ‘epc100’ here.
Extended Data Fig. 5 CMIP6 model simulations of selected physical and biogeochemical variables.
We show observations and CMIP6 simulations or diagnoses of (a) SST, (b) SSS, (c) MLD, (d) gas-exchange velocity. We also show CMIP6 simulations of (e) 100-m export production, and (f–h) nitrogen, light, and iron limitation of diatom integrated over 100-m from 90°S to ~44°S (defined by 0-30 × 1016 Mθe). For (a) to (d), we compare model simulations with observations (black lines). We use observations of SST and SSS from EN4 (ref. 52), density MLD from de Boyer Montégut et al. (ref. 38) (climatological average from 1963 to 2008), gas exchange velocity calculated from CCMP (ref. 44) wind fields and the method of Wanninkhof (ref. 45). CMIP6 model simulations of MLD are calculated using the same density criteria, defined as the depth at which the potential density exceeds the potential density at 10 meters depth by 0.03 kg m−3. The gas exchange velocity for models is calculated using simulated surface wind speed with the same method as for observation. Note that OMIP models are driven by prescribed wind speed but these wind speeds are not available as model output. We use CMIP6 simulations from coupled runs (solid lines), OMIP-1 (dashed lines), and OMIP-2 (dotted lines), with each model represented by a distinct color (see Supplementary Table S2 for model details). Model seasonal cycles are monthly averages from 2005–2014 (coupled runs and OMIP-2) or 2005–2009 (OMIP-1). Observations are calculated as 2005 to 2014 averages.
Extended Data Fig. 6 Skill-based model weighting reduces uncertainty in end-of-century CO2 uptake projections.
Annual mean SO CO2 flux (negative values indicate uptake) from 10 CMIP6 models during historical (2000-2014) and SSP3-7.0 (2015-2100) periods. The thick black line shows the skill-weighted ensemble mean, where weights are based on model skill in reproducing observed NPP, annual CO2 uptake, and thermal-driven pCO2 changes during 2005-2014 (shown in Fig. 5), with the narrow dark gray shading indicating weighted 1σ uncertainty (Methods). The thick gray line shows the unweighted ensemble mean annual CO2 uptake, with the wide light gray shading indicating unweighted 1σ standard deviation across all models shown here. Models maintain near-constant offsets throughout the century, indicating that present-day biases persist systematically into future projections. The skill-weighted 2081-2100 mean is 1.60 ± 0.16 PgC yr−1, compared to an unweighted ensemble mean of 1.54 ± 0.34 PgC yr−1, reducing uncertainty by 53%.
Extended Data Fig. 7 CMIP6 models show different trends in net primary production (NPP) and the seasonal net outgassing of the non-thermal O2 flux cycle (SNObio) over the Southern Ocean (SO) under the SSP3-7.0 scenario.
(a–j) Within-model relationships between annual SNObio and NPP for ten CMIP6 models over 2015-2100. Points are colored by year (darker = earlier, lighter = later), showing the temporal evolution of both variables. Dashed lines show fitted linear relationships using the ordinary least square fit method, with slopes (PgC Tmol−1) and standard errors reported for each model. (k) Comparison of SNObio trends (x-axis, Tmol century−1) versus NPP trends (y-axis, PgC century−1) across models. The black points and error bars represent the mean and standard deviation of trends calculated using generalized least squares regression with AR(1) correlation structure to account for temporal autocorrelation. Models show diverse future trajectories, with most models exhibiting positive SNObio and NPP trends and only two models showing negative or near-zero trends. Large spreads in projected trends and SNObio-NPP coupling across CMIP6 models highlight substantial uncertainty in Earth system model representations of SO biogeochemical responses to climate change.
Supplementary information
Supplementary Information (download PDF )
Supplementary Texts 1–11, Figs. 1–12 and Tables 1–6.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Jin, Y., Stephens, B.B., Long, M.C. et al. Atmospheric oxygen constraints on Southern Ocean productivity and drivers of carbon uptake. Nat. Geosci. 19, 534–541 (2026). https://doi.org/10.1038/s41561-026-01944-z
Received:
Accepted:
Published:
Version of record:
Issue date:
DOI: https://doi.org/10.1038/s41561-026-01944-z


