Articles | Volume 18, issue 9
https://doi.org/10.5194/essd-18-6945-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/essd-18-6945-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Data description article
| 
22 Sep 2026
Data description article |
| 22 Sep 2026
| 22 Sep 2026
Improving global and regional ocean heat content by consistently combining GRACE gravity, satellite altimetry and Argo profile observations in a joint inversion framework
Institute for Geodesy and Geoinformation, University of Bonn, Bonn, Germany
Kristin Vielberg
Institute for Geodesy and Geoinformation, University of Bonn, Bonn, Germany
Roelof Rietbroek
Faculty of Geo-Information Science and Earth Observation (ITC), Department of Geosciences, University of Twente, Twente, the Netherlands
Bene Aschenneller
Faculty of Geo-Information Science and Earth Observation (ITC), Department of Geosciences, University of Twente, Twente, the Netherlands
Armin Köhl
Institute of Oceanography, University of Hamburg, Hamburg, Germany
Jürgen Kusche
Institute for Geodesy and Geoinformation, University of Bonn, Bonn, Germany
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Cited articles
Amaya, D. J., Jacox, M. G., Alexander, M. A., Scott, J. D., Deser, C., Capotondi, A., and Phillips, A. S.: Bottom Marine Heatwaves along the Continental Shelves of North America, Nat. Commun., 14, 1038, https://doi.org/10.1038/s41467-023-36567-0, 2023. a
Argo: Argo Float Data and Metadata from Global Data Assembly Centre (Argo GDAC), SEANOE [data set], https://doi.org/10.17882/42182, 2000. a, b, c
Balmaseda, M. A., Mogensen, K., and Weaver, A. T.: Evaluation of the ECMWF Ocean Reanalysis System ORAS4, Q. J. Roy. Meteor. Soc., 139, 1132–1161, https://doi.org/10.1002/qj.2063, 2013. a
Barnoud, A., Pfeffer, J., Guérou, A., Frery, M.-L., Siméon, M., Cazenave, A., Chen, J., Llovel, W., Thierry, V., Legeais, J.-F., and Ablain, M.: Contributions of Altimetry and Argo to Non-Closure of the Global Mean Sea Level Budget Since 2016, Geophys. Res. Lett., 48, e2021GL092824, https://doi.org/10.1029/2021GL092824, 2021. a
Binder, K. and Heermann, D.: Monte Carlo Simulation in Statistical Physics: An Introduction, Graduate Texts in Physics, 5th Edn., Springer-Verlag, Berlin Heidelberg, https://doi.org/10.1007/978-3-642-03163-2, 2010. a
Bond, N. A., Cronin, M. F., Freeland, H., and Mantua, N.: Causes and Impacts of the 2014 Warm Anomaly in the NE Pacific, Geophys. Res. Lett., 42, 3414–3420, https://doi.org/10.1002/2015GL063306, 2015. a
Bouih, M., Barnoud, A., Yang, C., Storto, A., Blazquez, A., Llovel, W., Fraudeau, R., and Cazenave, A.: Regional sea level trend budget over 2004–2022, Ocean Sci., 21, 1425–1440, https://doi.org/10.5194/os-21-1425-2025, 2025. a, b
Bryden, H. and Imawaki, S.: Ocean Heat Transport, in: Ocean Circulation and Climate, vol. 77, edited by: Siedler, G., Church, J., and Gould, J., Academic Press, 317–336, ISBN 0126413517, 2001. a
Caesar, L., Rahmstorf, S., Robinson, A., Feulner, G., and Saba, V.: Observed Fingerprint of a Weakening Atlantic Ocean Overturning Circulation, Nature, 556, 191–196, https://doi.org/10.1038/s41586-018-0006-5, 2018. a
Carillo, A., Sannino, G., Artale, V., Ruti, P. M., Calmanti, S., and Dell'Aquila, A.: Steric Sea Level Rise over the Mediterranean Sea: Present Climate and Scenario Simulations, Clim. Dynam., 39, 2167–2184, https://doi.org/10.1007/s00382-012-1369-1, 2012. a
Chen, H.-H., Wang, Y., Xiu, P., Yu, Y., Ma, W., and Chai, F.: Combined Oceanic and Atmospheric Forcing of the 2013/14 Marine Heatwave in the Northeast Pacific, npj Clim. Atmos. Sci., 6, 1–10, https://doi.org/10.1038/s41612-023-00327-0, 2023. a
Cheng, L., Zhu, J., Cowley, R., Boyer, T., and Wijffels, S.: Time, Probe Type, and Temperature Variable Bias Corrections to Historical Expendable Bathythermograph Observations, J. Atmos. Ocean. Tech., 31, 1793–1825, https://doi.org/10.1175/JTECH-D-13-00197.1, 2014. a
Cheng, L., Trenberth, K. E., Fasullo, J., Boyer, T., Abraham, J., and Zhu, J.: Improved Estimates of Ocean Heat Content from 1960 to 2015, Sci. Adv., 3, e1601545, https://doi.org/10.1126/sciadv.1601545, 2017. a
Cheng, L., von Schuckmann, K., Abraham, J. P., Trenberth, K. E., Mann, M. E., Zanna, L., England, M. H., Zika, J. D., Fasullo, J. T., Yu, Y., Pan, Y., Zhu, J., Newsom, E. R., Bronselaer, B., and Lin, X.: Past and Future Ocean Warming, Nat. Rev. Earth Environ., 3, 776–794, https://doi.org/10.1038/s43017-022-00345-1, 2022. a
CMEMS: Global Ocean Ensemble Physics Reanalysis, Marine Data Store (MDS) [data set], https://doi.org/10.48670/moi-00024, 2024a. a, b
CMEMS: Global Ocean Gridded L 4 Sea Surface Heights And Derived Variables Reprocessed 1993 Ongoing, Marine Data Store (MDS) [data set], https://doi.org/10.48670/moi-00148, 2024b. a, b
Copernicus Climate Change Service: ORAS5 Global Ocean Reanalysis Monthly Data from 1958 to Present, Marine Data Store (MDS) [data set], https://doi.org/10.24381/CDS.67E8EEB7, 2021. a
Copernicus Climate Change Service: ERA5 Monthly Averaged Data on Single Levels from 1940 to Present, Marine Data Store (MDS) [data set], https://doi.org/10.24381/cds.f17050d7, 2023. a, b
Dias, F. B., Fiedler, R., Marsland, S. J., Domingues, C. M., Clément, L., Rintoul, S. R., Mcdonagh, E. L., Mata, M. M., and Savita, A.: Ocean Heat Storage in Response to Changing Ocean Circulation Processes, J. Climate, 33, 9065–9082, https://doi.org/10.1175/JCLI-D-19-1016.1, 2020. a
Dobslaw, H., Bergmann-Wolf, I., Dill, R., Poropat, L., Thomas, M., Dahle, C., Esselborn, S., König, R., and Flechtner, F.: A New High-Resolution Model of Non-Tidal Atmosphere and Ocean Mass Variability for de-Aliasing of Satellite Gravity Observations: AOD1B RL06, Geophys. J. Int., 211, 263–269, https://doi.org/10.1093/gji/ggx302, 2017. a
Durack, P., Gleckler, P., Purkey, S., Johnson, G., Lyman, J., and Boywe, T.: Ocean Warming: From the Surface to the Deep in Observations and Models, Oceanography, 31, 41–51, https://doi.org/10.5670/oceanog.2018.227, 2018. a, b, c, d
Durack, P. J., Wijffels, S. E., and Gleckler, P. J.: Long-Term Sea-Level Change Revisited: The Role of Salinity, Environ. Res. Lett., 9, 114017, https://doi.org/10.1088/1748-9326/9/11/114017, 2014. a
Farrell, W. E.: Deformation of the Earth by Surface Loads, Rev. Geophys., 10, 761–797, https://doi.org/10.1029/RG010i003p00761, 1972. a
Felden, J., Möller, L., Schindler, U., Huber, R., Schumacher, S., Koppe, R., Diepenbroek, M., and Glöckner, F. O.: PANGAEA – Data Publisher for Earth & Environmental Science, Scientific Data, 10, 347, https://doi.org/10.1038/s41597-023-02269-x, 2023. a
Ferrari, R. and Ferreira, D.: What Processes Drive the Ocean Heat Transport?, Ocean Model., 38, 171–186, https://doi.org/10.1016/j.ocemod.2011.02.013, 2011. a
Forget, G., Campin, J.-M., Heimbach, P., Hill, C. N., Ponte, R. M., and Wunsch, C.: ECCO version 4: an integrated framework for non-linear inverse modeling and global ocean state estimation, Geosci. Model Dev., 8, 3071–3104, https://doi.org/10.5194/gmd-8-3071-2015, 2015. a
Garcia, H. E., Boyer, T. P., Baranova, O. K., Locarini, R. A., Mishonov, A. V., and Grodsky, A.: World Ocean Atlas 2018: Product Documentation, Tech. rep., Ocean Climate Laboratory NCEI/NESDIS/NOAA, https://www.ncei.noaa.gov/data/oceans/woa/WOA18/DOC/woa18documentation.pdf (last access: 16 September 2026), 2019. a
Gill, A. E. and Niller, P. P.: The Theory of the Seasonal Variability in the Ocean, Deep Sea Research and Oceanographic Abstracts, 20, 141–177, https://doi.org/10.1016/0011-7471(73)90049-1, 1973. a
Gleckler, P. J., Durack, P. J., Stouffer, R. J., Johnson, G. C., and Forest, C. E.: Industrial-Era Global Ocean Heat Uptake Doubles in Recent Decades, Nat. Clim. Change, 6, 394–398, https://doi.org/10.1038/nclimate2915, 2016. a
Good, S. A., Martin, M. J., and 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, https://doi.org/10.1002/2013JC009067, 2013. a, b, c
Gouretski, V. and Cheng, L.: Correction for Systematic Errors in the Global Dataset of Temperature Profiles from Mechanical Bathythermographs, J. Atmos. Ocean. Tech., 37, 841–855, https://doi.org/10.1175/JTECH-D-19-0205.1, 2020. a, b
Gouretski, V. and Reseghetti, F.: On Depth and Temperature Biases in Bathythermograph Data: Development of a New Correction Scheme Based on Analysis of a Global Ocean Database, Deep-Sea Res. Pt. I, 57, 812–833, https://doi.org/10.1016/j.dsr.2010.03.011, 2010. a
Hansen, J., Sato, M., Kharecha, P., and von Schuckmann, K.: Earth's energy imbalance and implications, Atmos. Chem. Phys., 11, 13421–13449, https://doi.org/10.5194/acp-11-13421-2011, 2011. a
Holbrook, N. J., Scannell, H. A., Sen Gupta, A., Benthuysen, J. A., Feng, M., Oliver, E. C. J., Alexander, L. V., Burrows, M. T., Donat, M. G., Hobday, A. J., Moore, P. J., Perkins-Kirkpatrick, S. E., Smale, D. A., Straub, S. C., and Wernberg, T.: A Global Assessment of Marine Heatwaves and Their Drivers, Nat. Commun., 10, 2624, https://doi.org/10.1038/s41467-019-10206-z, 2019. a
Horwath, M., Gutknecht, B. D., Cazenave, A., Palanisamy, H. K., Marti, F., Marzeion, B., Paul, F., Le Bris, R., Hogg, A. E., Otosaka, I., Shepherd, A., Döll, P., Cáceres, D., Müller Schmied, H., Johannessen, J. A., Nilsen, J. E. Ø., Raj, R. P., Forsberg, R., Sandberg Sørensen, L., Barletta, V. R., Simonsen, S. B., Knudsen, P., Andersen, O. B., Ranndal, H., Rose, S. K., Merchant, C. J., Macintosh, C. R., von Schuckmann, K., Novotny, K., Groh, A., Restano, M., and Benveniste, J.: Global sea-level budget and ocean-mass budget, with a focus on advanced data products and uncertainty characterisation, Earth Syst. Sci. Data, 14, 411–447, https://doi.org/10.5194/essd-14-411-2022, 2022. a, b, c
Hosoda, S., Ohira, T., and Nakamura, T.: A Monthly Mean Dataset of Global Oceanic Temperature and Salinity Derived from Argo Float Observations, JAMSTEC Report of Research and Development, 8, 47–59, https://doi.org/10.5918/jamstecr.8.47, 2008. a
Intergovernmental Panel on Climate Change (IPCC): Climate Change 2014 – Impacts, Adaptation and Vulnerability: Part A: Global and Sectoral Aspects: Working Group II Contribution to the IPCC Fifth Assessment Report, Cambridge University Press, Cambridge, https://doi.org/10.1017/CBO9781107415379, 2014. a
Intergovernmental Panel on Climate Change (IPCC): The Ocean and Cryosphere in a Changing Climate: Special Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge, https://doi.org/10.1017/9781009157964, 2022. a, b
International-Altimetry-Team: Altimetry for the Future: Building on 25 Years of Progress, Adv. Space Res., 68, 319–363, https://doi.org/10.1016/j.asr.2021.01.022, 2021. a, b
IPRC: Near-Real Time Gridded Data on Standard Levels, International Pacific Research Center (IPRC), School of Ocean and Earth Science and Technology (SOEST) [data set], University of Hawai'i at Mānoa, http://apdrc.soest.hawaii.edu/projects/Argo/ (last access: 16 September 2026), 2020. a
Jeon, T., Seo, K.-W., Kim, B.-H., Kim, J.-S., Chen, J., and Wilson, C. R.: Sea Level Fingerprints and Regional Sea Level Change, Earth Planet. Sc. Lett., 567, 116985, https://doi.org/10.1016/j.epsl.2021.116985, 2021. a, b
Jia, Y.: Ocean Heat Transport and Its Relationship to Ocean Circulation in the CMIP Coupled Models, Clim. Dynam., 20, 153–174, https://doi.org/10.1007/s00382-002-0261-9, 2003. a
Johnson, G. C. and Lyman, J. M.: Warming Trends Increasingly Dominate Global Ocean, Nat. Clim. Change, 10, 757–761, https://doi.org/10.1038/s41558-020-0822-0, 2020. a
Jolliffe, I. T. and Cadima, J.: Principal Component Analysis: A Review and Recent Developments, Philos. T. Roy. Soc. A, 374, 20150202, https://doi.org/10.1098/rsta.2015.0202, 2016. a
Kato, S., Rose, F. G., Rutan, D. A., Thorsen, T. J., Loeb, N. G., Doelling, D. R., Huang, X., Smith, W. L., Su, W., and Ham, S.-H.: Surface Irradiances of Edition 4.0 Clouds and the Earth's Radiant Energy System (CERES) Energy Balanced and Filled (EBAF) Data Product, J. Climate, 31, 4501–4527, https://doi.org/10.1175/JCLI-D-17-0523.1, 2018. a, b
Kobayashi, S., Ota, Y., Harada, Y., Ebita, A., Moriya, M., Onoda, H., Onogi, K., Kamahori, H., Kobayashi, C., Endo, H., Miyaoka, K., and Takahashi, K.: The JRA-55 Reanalysis: General Specifications and Basic Characteristics, J. Meteorol. Soc. Jpn. Ser. II, 93, 5–48, https://doi.org/10.2151/jmsj.2015-001, 2015. a, b
Koch, K.-R. and Kusche, J.: Regularization of Geopotential Determination from Satellite Data by Variance Components, J. Geodesy, 76, 259–268, https://doi.org/10.1007/s00190-002-0245-x, 2002. a
Kornfeld, R. P., Arnold, B. W., Gross, M. A., Dahya, N. T., Klipstein, W. M., Gath, P. F., and Bettadpur, S.: GRACE-FO: The Gravity Recovery and Climate Experiment Follow-On Mission, J. Spacecraft Rockets, 56, 931–951, https://doi.org/10.2514/1.A34326, 2019. a
Kvas, A., Behzadpour, S., Ellmer, M., Klinger, B., Strasser, S., Zehentner, N., and Mayer-Gürr, T.: ITSG-Grace2018: Overview and Evaluation of a New GRACE-Only Gravity Field Time Series, J. Geophys. Res.-Sol. Ea., 124, 9332–9344, https://doi.org/10.1029/2019JB017415, 2019. a, b
Landerer, F. W., Jungclaus, J. H., and Marotzke, J.: Regional Dynamic and Steric Sea Level Change in Response to the IPCC-A1B Scenario, J. Phys. Oceanogr., 37, 296–312, https://doi.org/10.1175/JPO3013.1, 2007. a
Lee, S., L'Heureux, M., Wittenberg, A. T., Seager, R., O'Gorman, P. A., and Johnson, N. C.: On the Future Zonal Contrasts of Equatorial Pacific Climate: Perspectives from Observations, Simulations, and Theories, npj Climate and Atmospheric Science, 5, 1–15, https://doi.org/10.1038/s41612-022-00301-2, 2022. a
Lee, S.-K., Park, W., Baringer, M. O., Gordon, A. L., Huber, B., and Liu, Y.: Pacific Origin of the Abrupt Increase in Indian Ocean Heat Content during the Warming Hiatus, Nat. Geosci., 8, 445–449, https://doi.org/10.1038/ngeo2438, 2015. a
Lellouche, J.-M., Le Galloudec, O., Drévillon, M., Régnier, C., Greiner, E., Garric, G., Ferry, N., Desportes, C., Testut, C.-E., Bricaud, C., Bourdallé-Badie, R., Tranchant, B., Benkiran, M., Drillet, Y., Daudin, A., and De Nicola, C.: Evaluation of global monitoring and forecasting systems at Mercator Océan, Ocean Sci., 9, 57–81, https://doi.org/10.5194/os-9-57-2013, 2013. a
Levitus, S., Antonov, J. I., Boyer, T. P., Baranova, O. K., Garcia, H. E., Locarnini, R. A., Mishonov, A. V., Reagan, J. R., Seidov, D., Yarosh, E. S., and Zweng, M. M.: World Ocean Heat Content and Thermosteric Sea Level Change (0–2000 m), 1955–2010, Geophys. Res. Lett., 39, https://doi.org/10.1029/2012GL051106, 2012. a
Li, G., Cheng, L., Zhu, J., Trenberth, K. E., Mann, M. E., and Abraham, J. P.: Increasing Ocean Stratification over the Past Half-Century, Nat. Clim. Change, 10, 1116–1123, https://doi.org/10.1038/s41558-020-00918-2, 2020. a
Li, Z., England, M. H., and Groeskamp, S.: Recent Acceleration in Global Ocean Heat Accumulation by Mode and Intermediate Waters, Nat. Commun., 14, 6888, https://doi.org/10.1038/s41467-023-42468-z, 2023. a
Llovel, W. and Lee, T.: Importance and Origin of Halosteric Contribution to Sea Level Change in the Southeast Indian Ocean during 2005–2013, Geophys. Res. Lett., 42, 1148–1157, https://doi.org/10.1002/2014GL062611, 2015. a
Loeb, N. G., Wielicki, B. A., Doelling, D. R., Smith, G. L., Keyes, D. F., Kato, S., Manalo-Smith, N., and Wong, T.: Toward Optimal Closure of the Earth's Top-of-Atmosphere Radiation Budget, J. Climate, 22, 748–766, https://doi.org/10.1175/2008JCLI2637.1, 2009. a, b
Loeb, N. G., Doelling, D. R., Wang, H., Su, W., Nguyen, C., Corbett, J. G., Liang, L., Mitrescu, C., Rose, F. G., and Kato, S.: Clouds and the Earth's Radiant Energy System (CERES) Energy Balanced and Filled (EBAF) Top-of-Atmosphere (TOA) Edition-4.0 Data Product, J. Climate, 31, 895–918, https://doi.org/10.1175/JCLI-D-17-0208.1, 2018a. a, b, c, d, e
Loeb, N. G., Thorsen, T. J., Norris, J. R., Wang, H., and Su, W.: Changes in Earth's Energy Budget during and after the “Pause” in Global Warming: An Observational Perspective, Climate, 6, 62, https://doi.org/10.3390/cli6030062, 2018b. a, b
Loeb, N. G., Johnson, G. C., Thorsen, T. J., Lyman, J. M., Rose, F. G., and Kato, S.: Satellite and Ocean Data Reveal Marked Increase in Earth's Heating Rate, Geophys. Res. Lett., 48, e2021GL093047, https://doi.org/10.1029/2021GL093047, 2021. a, b, c
Loeb, N. G., Doelling, D. R., Kato, S., Su, W., Mlynczak, P. E., and Wilkins, J. C.: Continuity in Top-of-Atmosphere Earth Radiation Budget Observations, J. Climate, 37, 6093–6108, https://doi.org/10.1175/JCLI-D-24-0180.1, 2024. a, b, c
Lück, C., Kusche, J., Rietbroek, R., and Löcher, A.: Time-variable gravity fields and ocean mass change from 37 months of kinematic Swarm orbits, Solid Earth, 9, 323–339, https://doi.org/10.5194/se-9-323-2018, 2018. a
Margirier, F., Testor, P., Heslop, E., Mallil, K., Bosse, A., Houpert, L., Mortier, L., Bouin, M.-N., Coppola, L., D'Ortenzio, F., Durrieu de Madron, X., Mourre, B., Prieur, L., Raimbault, P., and Taillandier, V.: Abrupt Warming and Salinification of Intermediate Waters Interplays with Decline of Deep Convection in the Northwestern Mediterranean Sea, Sci. Rep.-UK, 10, 20923, https://doi.org/10.1038/s41598-020-77859-5, 2020. a
Marti, F., Blazquez, A., Meyssignac, B., Ablain, M., Barnoud, A., Fraudeau, R., Jugier, R., Chenal, J., Larnicol, G., Pfeffer, J., Restano, M., and Benveniste, J.: Monitoring the ocean heat content change and the Earth energy imbalance from space altimetry and space gravimetry, Earth Syst. Sci. Data, 14, 229–249, https://doi.org/10.5194/essd-14-229-2022, 2022. a, b, c, d, e, f, g, h, i, j
Marti, F., Meyssignac, B., Rousseau, V., Ablain, M., Fraudeau, R., Blazquez, A., and Fourest, S.: Monitoring global ocean heat content from space geodetic observations to estimate the Earth energy imbalance, in: 8th edition of the Copernicus Ocean State Report (OSR8), edited by: von Schuckmann, K., Moreira, L., Grégoire, M., Marcos, M., Staneva, J., Brasseur, P., Garric, G., Lionello, P., Karstensen, J., and Neukermans, G., Copernicus Publications, State Planet, 4-osr8, 3, https://doi.org/10.5194/sp-4-osr8-3-2024, 2024. a, b, c, d
Mayer-Gürr, T., Behzadpour, S., Ellmer, M., Kvas, A., Klinger, B., Strasser, S., and Zehentner, N.: ITSG-Grace2018 – Monthly, Daily and Static Gravity Field Solutions from GRACE, GFZ Data Services, GFZ Data Services [data set], https://doi.org/10.5880/ICGEM.2018.003, 2018. a, b
Meyssignac, B., Boyer, T., Zhao, Z., Hakuba, M. Z., Landerer, F. W., Stammer, D., Köhl, A., Kato, S., L'Ecuyer, T., Ablain, M., Abraham, J. P., Blazquez, A., Cazenave, A., Church, J. A., Cowley, R., Cheng, L., Domingues, C. M., Giglio, D., Gouretski, V., Ishii, M., Johnson, G. C., Killick, R. E., Legler, D., Llovel, W., Lyman, J., Palmer, M. D., Piotrowicz, S., Purkey, S. G., Roemmich, D., Roca, R., Savita, A., von Schuckmann, K., Speich, S., Stephens, G., Wang, G., Wijffels, S. E., and Zilberman, N.: Measuring Global Ocean Heat Content to Estimate the Earth Energy Imbalance, Front. Mar. Sci., 6, https://doi.org/10.3389/fmars.2019.00432, 2019. a, b, c, d, e, f, g
Meyssignac, B., Ablain, M., Guérou, A., Prandi, P., Barnoud, A., Blazquez, A., Fourest, S., Rousseau, V., Bonnefond, P., Cazenave, A., Chenal, J., Dibarboure, G., Donlon, C., Benveniste, J., Sylvestre-Baron, A., and Vinogradova, N.: How Accurate Is Accurate Enough for Measuring Sea-Level Rise and Variability, Nat. Clim. Change, 13, 796–803, https://doi.org/10.1038/s41558-023-01735-z, 2023. a, b
Mu, D., Church, J. A., King, M., Ludwigsen, C. B., and Xu, T.: Contrasting Discrepancy in the Sea Level Budget Between the North and South Atlantic Ocean Since 2016, Earth Space Sci., 11, e2023EA003133, https://doi.org/10.1029/2023EA003133, 2024. a
Müller Schmied, H., Trautmann, T., Ackermann, S., Cáceres, D., Flörke, M., Gerdener, H., Kynast, E., Peiris, T. A., Schiebener, L., Schumacher, M., and Döll, P.: The global water resources and use model WaterGAP v2.2e: description and evaluation of modifications and new features, Geosci. Model Dev., 17, 8817–8852, https://doi.org/10.5194/gmd-17-8817-2024, 2024. a
Nerem, R. S., Beckley, B. D., Fasullo, J. T., Hamlington, B. D., Masters, D., and Mitchum, G. T.: Climate-Change–Driven Accelerated Sea-Level Rise Detected in the Altimeter Era, P. Natl. Acad. Sci. USA, 201717312, https://doi.org/10.1073/pnas.1717312115, 2018. a
Newman, M., Alexander, M. A., Ault, T. R., Cobb, K. M., Deser, C., Lorenzo, E. D., Mantua, N. J., Miller, A. J., Minobe, S., Nakamura, H., Schneider, N., Vimont, D. J., Phillips, A. S., Scott, J. D., and Smith, C. A.: The Pacific Decadal Oscillation, Revisited, J. Climate, 29, 4399–4427, https://doi.org/10.1175/JCLI-D-15-0508.1, 2016. a, b
Nian, D., Willeit, M., Wunderling, N., Ganopolski, A., and Rockström, J.: Collapse of the Atlantic Meridional Overturning Circulation Would Lead to Substantial Oceanic Carbon Release and Additional Global Warming, Commun. Earth Environ., 7, 295, https://doi.org/10.1038/s43247-026-03427-w, 2026. a
Palmer, M. D.: Reconciling Estimates of Ocean Heating and Earth's Radiation Budget, Current Climate Change Reports, 3, 78–86, https://doi.org/10.1007/s40641-016-0053-7, 2017. a
Palmer, M. D., Roberts, C. D., Balmaseda, M., Chang, Y.-S., Chepurin, G., Ferry, N., Fujii, Y., Good, S. A., Guinehut, S., Haines, K., Hernandez, F., Köhl, A., Lee, T., Martin, M. J., Masina, S., Masuda, S., Peterson, K. A., Storto, A., Toyoda, T., Valdivieso, M., Vernieres, G., Wang, O., and Xue, Y.: Ocean Heat Content Variability and Change in an Ensemble of Ocean Reanalyses, Clim. Dynam., 49, 909–930, https://doi.org/10.1007/s00382-015-2801-0, 2017. a
Pan, Y., Minière, A., von Schuckmann, K., Li, Z., Li, Y., Cheng, L., and Zhu, J.: Ocean Heat Content in 2024, Nat. Rev. Earth Environ., 6, 249–251, https://doi.org/10.1038/s43017-025-00655-0, 2025. a
Portilho-Ramos, R. d. C., Titschack, J., Wienberg, C., Rojas, M. G. S., Yokoyama, Y., and Hebbeln, D.: Major Environmental Drivers Determining Life and Death of Cold-Water Corals through Time, PLOS Biol., 20, e3001628, https://doi.org/10.1371/journal.pbio.3001628, 2022. a
Preisendorfer, R.: Principal Component Analysis in Meteorology and Oceanography, Elsevier, Amsterdam, ISBN 0444430148, 1988. a
Rahmstorf, S., Box, J. E., Feulner, G., Mann, M. E., Robinson, A., Rutherford, S., and Schaffernicht, E. J.: Exceptional Twentieth-Century Slowdown in Atlantic Ocean Overturning Circulation, Nat. Clim. Change, 5, 475–480, https://doi.org/10.1038/nclimate2554, 2015. a
Resplandy, L., Keeling, R. F., Eddebbar, Y., Brooks, M., Wang, R., Bopp, L., Long, M. C., Dunne, J. P., Koeve, W., and Oschlies, A.: Quantification of Ocean Heat Uptake from Changes in Atmospheric O2 and CO2 Composition, Sci. Rep.-UK, 9, 20244, https://doi.org/10.1038/s41598-019-56490-z, 2019. a
RGI Consortium: Randolph Glacier Inventory – A Dataset of Global Glacier Outlines: Version 6.0, Technical Report, Global Land Ice Measurements from Space, Digital Media, Colorado, USA, https://doi.org/10.7265/N5-RGI-60, 2017. a
Roemmich, D. and Gilson, J.: The 2004–2008 Mean and Annual Cycle of Temperature, Salinity, and Steric Height in the Global Ocean from the Argo Program, Prog. Oceanogr., 82, 81–100, https://doi.org/10.1016/j.pocean.2009.03.004, 2009. a
Roemmich, D., Belbéoch, M., Freeland, H., Garzoli, S., Gould, W. J., Grant, F., Ignaszewski, M., King, B., Klein, B., Le Traon, P.-Y., Mork, K., Owens, W. B., Pouliquen, S., Ravichandran, M., Riser, S., Sterl, A., Suga, T., Suk, M.-S., Sutton, P., Thierry, V., Vélez-Belchí, P., Wijffels, S., and Xu, J.: Argo: The Challenge of Continuing 10 Years of Progress, Oceanography, 22, 46–55, https://doi.org/10.5670/oceanog.2009.65, 2009. a, b, c, d
Rousseau, V., Fraudeau, R., Hammond, M., Houndegnonto, O. J., Ablain, M., Blazquez, A., Calafat, F. M., Desbruyères, D., Foti, G., Llovel, W., Marti, F., Meyssignac, B., Restano, M., and Benveniste, J.: Monitoring the regional Ocean Heat Content change over the Atlantic Ocean with the space geodetic approach, Earth Syst. Sci. Data Discuss. [preprint], https://doi.org/10.5194/essd-2023-236, 2023. a, b
Royston, S., Vishwakarma, B. D., Westaway, R., Rougier, J., Sha, Z., and Bamber, J.: Can We Resolve the Basin-Scale Sea Level Trend Budget From GRACE Ocean Mass?, J. Geophys. Res.-Oceans, 125, e2019JC015535, https://doi.org/10.1029/2019JC015535, 2020. a
Russell, G. L., Gornitz, V., and Miller, J. R.: Regional Sea Level Changes Projected by the NASA/GISS Atmosphere-Ocean Model, Clim. Dynam., 16, 789–797, https://doi.org/10.1007/s003820000090, 2000. a, b, c
Saji, N. H. and Yamagata, T.: Possible Impacts of Indian Ocean Dipole Mode Events on Global Climate, Clim. Res., 25, 151–169, https://doi.org/10.3354/cr025151, 2003. a, b
Schröder, L., Horwath, M., Dietrich, R., Helm, V., van den Broeke, M. R., and Ligtenberg, S. R. M.: Four decades of Antarctic surface elevation changes from multi-mission satellite altimetry, The Cryosphere, 13, 427–449, https://doi.org/10.5194/tc-13-427-2019, 2019. a
Sharma, S., Ha, K.-J., Yamaguchi, R., Rodgers, K. B., Timmermann, A., and Chung, E.-S.: Future Indian Ocean Warming Patterns, Nat. Commun., 14, 1789, https://doi.org/10.1038/s41467-023-37435-7, 2023. a, b
Sreenivas, P., Gnanaseelan, C., and Prasad, K. V. S. R.: Influence of El Niño and Indian Ocean Dipole on Sea Level Variability in the Bay of Bengal, Global Planet. Change, 80–81, 215–225, https://doi.org/10.1016/j.gloplacha.2011.11.001, 2012. a, b
Storto, A. and Masina, S.: C-GLORSv5: an improved multipurpose global ocean eddy-permitting physical reanalysis, Earth Syst. Sci. Data, 8, 679–696, https://doi.org/10.5194/essd-8-679-2016, 2016. a
Strößenreuther, U., Horwath, M., and Schröder, L.: How Different Analysis and Interpolation Methods Affect the Accuracy of Ice Surface Elevation Changes Inferred from Satellite Altimetry, Math. Geosci., 52, 499–525, https://doi.org/10.1007/s11004-019-09851-3, 2020. a
Szekely, T., Gourrion, J., Pouliquen, S., and Reverdin, G.: The CORA 5.2 dataset for global in situ temperature and salinity measurements: data description and validation, Ocean Sci., 15, 1601–1614, https://doi.org/10.5194/os-15-1601-2019, 2019. a
Tapley, B. D., Bettadpur, S., Watkins, M., and Reigber, C.: The Gravity Recovery and Climate Experiment: Mission Overview and Early Results, Geophys. Res. Lett., 31, https://doi.org/10.1029/2004GL019920, 2004. a
Timmermann, R., Danilov, S., Schröter, J., Böning, C., Sidorenko, D., and Rollenhagen, K.: Ocean Circulation and Sea Ice Distribution in a Finite Element Global Sea Ice–Ocean Model, Ocean Model., 27, 114–129, https://doi.org/10.1016/j.ocemod.2008.10.009, 2009. a
Trenberth, K. E. and Caron, J. M.: Estimates of Meridional Atmosphere and Ocean Heat Transports, J. Climate, 14, 3433–3443, https://doi.org/10.1175/1520-0442(2001)014<3433:EOMAAO>2.0.CO;2, 2001. a
Trenberth, K. E., Fasullo, J. T., and Balmaseda, M. A.: Earth's Energy Imbalance, J. Climate, 27, 3129–3144, https://doi.org/10.1175/JCLI-D-13-00294.1, 2014. a
Trenberth, K. E., Fasullo, J. T., von Schuckmann, K., and Cheng, L.: Insights into Earth's Energy Imbalance from Multiple Sources, J. Climate, 29, 7495–7505, https://doi.org/10.1175/JCLI-D-16-0339.1, 2016. a
Uebbing, B. and Kusche, J.: Gridded (0.25 Deg) Monthly Ocean Heat Content from Consistently Combining GRACE(-FO) Satellite Gravimerty, in Situ Argo Profiles and Satellite Altimetry, PANGAEA [data set], https://doi.org/10.1594/PANGAEA.994058, 2026. a, b, c
von Schuckmann, K., Cheng, L., Palmer, M. D., Hansen, J., Tassone, C., Aich, V., Adusumilli, S., Beltrami, H., Boyer, T., Cuesta-Valero, F. J., Desbruyères, D., Domingues, C., García-García, A., Gentine, P., Gilson, J., Gorfer, M., Haimberger, L., Ishii, M., Johnson, G. C., Killick, R., King, B. A., Kirchengast, G., Kolodziejczyk, N., Lyman, J., Marzeion, B., Mayer, M., Monier, M., Monselesan, D. P., Purkey, S., Roemmich, D., Schweiger, A., Seneviratne, S. I., Shepherd, A., Slater, D. A., Steiner, A. K., Straneo, F., Timmermans, M.-L., and Wijffels, S. E.: Heat stored in the Earth system: where does the energy go?, Earth Syst. Sci. Data, 12, 2013–2041, https://doi.org/10.5194/essd-12-2013-2020, 2020. a, b, c, d, e, f
von Schuckmann, K., Minière, A., Gues, F., Cuesta-Valero, F. J., Kirchengast, G., Adusumilli, S., Straneo, F., Allan, R., Barker, P. M., Beltrami, H., Boyer, T., Cheng, L., Church, J., Desbruyeres, D., Dolman, H., Domingues, C., García-García, A., Giglio, D., Gilson, J., Gorfer, M., Haimberger, L., Hendricks, S., Hosoda, S., Johnson, G. C., Killick, R., King, B. A., Kolodziejczyk, N., Korosov, A., Krinner, G., Kuusela, M., Langer, M., Lavergne, T., Li, Y., Lyman, J., Marzeion, B., Mayer, M., MacDougall, A., Lawrence, I., McDougall, T., Monselesan, D. P., Nitzbon, J., Otosaka, I., Peng, J., Purkey, S., Roemmich, D., Sato, K., Sato, K., Savita, A., Schweiger, A., Shepherd, A., Seneviratne, S. I., Simons, L., Slater, D. A., Slater, T., Smith, N., Steiner, A. K., Suga, T., Szekely, T., Thiery, W., Timmermanns, M.-L., Vanderkelen, I., Wijffels, S. E., Wu, T., and Zemp, M.: Heat Stored in the Earth System 1960-2020: Where Does the Energy Go?, https://hdl.handle.net/21.14106/279f535efb48324f4f604bb390f74deadf268812 (last acces: 16 September 2026), 2022. a
von Schuckmann, K., Minière, A., Gues, F., Cuesta-Valero, F. J., Kirchengast, G., Adusumilli, S., Straneo, F., Ablain, M., Allan, R. P., Barker, P. M., Beltrami, H., Blazquez, A., Boyer, T., Cheng, L., Church, J., Desbruyeres, D., Dolman, H., Domingues, C. M., García-García, A., Giglio, D., Gilson, J. E., Gorfer, M., Haimberger, L., Hakuba, M. Z., Hendricks, S., Hosoda, S., Johnson, G. C., Killick, R., King, B., Kolodziejczyk, N., Korosov, A., Krinner, G., Kuusela, M., Landerer, F. W., Langer, M., Lavergne, T., Lawrence, I., Li, Y., Lyman, J., Marti, F., Marzeion, B., Mayer, M., MacDougall, A. H., McDougall, T., Monselesan, D. P., Nitzbon, J., Otosaka, I., Peng, J., Purkey, S., Roemmich, D., Sato, K., Sato, K., Savita, A., Schweiger, A., Shepherd, A., Seneviratne, S. I., Simons, L., Slater, D. A., Slater, T., Steiner, A. K., Suga, T., Szekely, T., Thiery, W., Timmermans, M.-L., Vanderkelen, I., Wjiffels, S. E., Wu, T., and Zemp, M.: Heat stored in the Earth system 1960–2020: where does the energy go?, Earth Syst. Sci. Data, 15, 1675–1709, https://doi.org/10.5194/essd-15-1675-2023, 2023. a
Wielicki, B. A., Barkstrom, B. R., Harrison, E. F., Lee, R. B., Smith, G. L., and Cooper, J. E.: Clouds and the Earth's Radiant Energy System (CERES): An Earth Observing System Experiment, B. Am. Meteorol. Soc., 77, 853–868, https://doi.org/10.1175/1520-0477(1996)077<0853:CATERE>2.0.CO;2, 1996. a
Willen, M. O., Uebbing, B., Horwath, M., and Kusche, J.: Improving the Representation of the Ice-Sheet Contribution to Sea Level within a Global Inversion Framework, Geophys. J. Int., 245, ggag059, https://doi.org/10.1093/gji/ggag059, 2026. a
Wong, A. P. S., Wijffels, S. E., Riser, S. C., Pouliquen, S., Hosoda, S., Roemmich, D., Gilson, J., Johnson, G. C., Martini, K., Murphy, D. J., Scanderbeg, M., Bhaskar, T. V. S. U., Buck, J. J. H., Merceur, F., Carval, T., Maze, G., Cabanes, C., André, X., Poffa, N., Yashayaev, I., Barker, P. M., Guinehut, S., Belbéoch, M., Ignaszewski, M., Baringer, M. O., Schmid, C., Lyman, J. M., McTaggart, K. E., Purkey, S. G., Zilberman, N., Alkire, M. B., Swift, D., Owens, W. B., Jayne, S. R., Hersh, C., Robbins, P., West-Mack, D., Bahr, F., Yoshida, S., Sutton, P. J. H., Cancouët, R., Coatanoan, C., Dobbler, D., Juan, A. G., Gourrion, J., Kolodziejczyk, N., Bernard, V., Bourlès, B., Claustre, H., D'Ortenzio, F., Le Reste, S., Le Traon, P.-Y., Rannou, J.-P., Saout-Grit, C., Speich, S., Thierry, V., Verbrugge, N., Angel-Benavides, I. M., Klein, B., Notarstefano, G., Poulain, P.-M., Vélez-Belchí, P., Suga, T., Ando, K., Iwasaska, N., Kobayashi, T., Masuda, S., Oka, E., Sato, K., Nakamura, T., Sato, K., Takatsuki, Y., Yoshida, T., Cowley, R., Lovell, J. L., Oke, P. R., van Wijk, E. M., Carse, F., Donnelly, M., Gould, W. J., Gowers, K., King, B. A., Loch, S. G., Mowat, M., Turton, J., Rama Rao, E. P., Ravichandran, M., Freeland, H. J., Gaboury, I., Gilbert, D., Greenan, B. J. W., Ouellet, M., Ross, T., Tran, A., Dong, M., Liu, Z., Xu, J., Kang, K., Jo, H., Kim, S.-D., and Park, H.-M.: Argo Data 1999–2019: Two Million Temperature-Salinity Profiles and Subsurface Velocity Observations From a Global Array of Profiling Floats, Front. Mar. Sci., 7, https://doi.org/10.3389/fmars.2020.00700, 2020. a
Wong, A. P. S., Gilson, J., and Cabanes, C.: Argo salinity: bias and uncertainty evaluation, Earth Syst. Sci. Data, 15, 383–393, https://doi.org/10.5194/essd-15-383-2023, 2023. a
Woodward, R. S.: On the Form and Position of the Sea Level with Special References to Its Dependence on Superficial Masses Symmetrically Disposed about a Normal to the Earth's Surface, Tech. Rep. 48, Govt. Print. Off., https://doi.org/10.3133/b48, 1888. a
Wouters, B., Chambers, D., and Schrama, E. J. O.: GRACE Observes Small-Scale Mass Loss in Greenland, Geophys. Res. Lett., 35, https://doi.org/10.1029/2008GL034816, 2008. a
Xi, H., Zhang, Z., Lu, Y., and Li, Y.: Long-Term and Interannual Variation of the Steric Sea Level in the South China Sea and the Connection with ENSO, J. Coastal Res., 35, 489–498, 2019. a
Zhang, C., Wang, D., Liu, Z., Lu, S., Sun, C., Wei, Y., and Zhang, M.: Global Gridded Argo Dataset Based on Gradient-Dependent Optimal Interpolation, Journal of Marine Science and Engineering, 10, 650, https://doi.org/10.3390/jmse10050650, 2022. a
Zhang, R.: Coherent Surface-Subsurface Fingerprint of the Atlantic Meridional Overturning Circulation, Geophys. Res. Lett., 35, https://doi.org/10.1029/2008GL035463, 2008. a
Zwally, H. J. and Giovinetto, M. B.: Overview and Assessment of Antarctic Ice-Sheet Mass Balance Estimates: 1992–2009, Surv. Geophys., 32, 351–376, https://doi.org/10.1007/s10712-011-9123-5, 2011. a
Short summary
About 90% of the excess heat in the Earth system is stored within the oceans leading to significant ocean warming and corresponding (volumetric) sea level change. We quantify global and regional ocean heat content change (OHC) by consistently combining space-geodetic altimetry, gravity and in situ temperature profile observations. Our results agree well with published estimates and highlight the benefit of consistently processing space-geodetic datasets for deriving high quality OHC estimates.
About 90% of the excess heat in the Earth system is stored within the oceans leading to...
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