Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions
Abstract The existing observation record of satellite gravity missions is already closing in on the minimum time series of 30 years needed to decouple natural and anthropogenic forcing mechanisms according to the Global Climate Observing System (GCOS). The launch of the next generation of gravity fi...
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2025-07-01
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| Online Access: | https://doi.org/10.1186/s40623-025-02239-0 |
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| author | Marius Schlaak Roland Pail |
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| description | Abstract The existing observation record of satellite gravity missions is already closing in on the minimum time series of 30 years needed to decouple natural and anthropogenic forcing mechanisms according to the Global Climate Observing System (GCOS). The launch of the next generation of gravity field missions [Gravity Recovery and Climate Experiment (GRACE)-Continuity, Next Generation Gravity Mission] is expected within this decade. These missions and their combination (Mass-Change and Geosciences International Constellation [MAGIC)] are setting high anticipation for an enhanced monitoring capability that will significantly improve the spatial and temporal resolution of gravity observations. This study investigates and compares the performance of three different trend estimation strategies for the first time in multi-decadal numerical closed-loop simulations of satellite gravimetry constellations. The considered satellite constellations are a GRACE-type in-line single pair mission and a MAGIC double pair mission with realistic noise assumptions for the key payload, tidal, and non-tidal background model errors. The parameter models used in this study consist of monthly solutions ( $${f}_{0}$$ f 0 ), co-estimation of monthly and trend parameters ( $${f}_{1}$$ f 1 ), and the direct estimation of trend and annual amplitudes ( $${f}_{2}$$ f 2 ). Thirty years of modeled mass transport time series of components of the terrestrial water storage, obtained from future climate projections, form the gravity signal used in the simulations. Our results show the potential of MAGIC’s advanced observation system in estimating a long-term trend. After 10 years, the global root-mean-square error of the trend estimates for the $${f}_{0}$$ f 0 parameter model improves from a single pair performance of 59.6–1.2 mm/yr for a double pair constellation. While the improved observation system mainly contributes to the higher resolution, direct trend estimation strategies can achieve minor but visible improvements. Since all three parameter models show globally comparable results, they are further analyzed regionally by dividing the world into 206 hydrological basins. Small basins and areas with low signal-to-noise ratio show slight improvements in the residuals. For example, after 10 years of observation, a single pair shows 1 mm/yr improvements for $${f}_{2}$$ f 2 compared to $${f}_{0}$$ f 0 . Furthermore, the regional analysis shows that a significant number of basins have a higher signal-to-noise ratio than the global average. These basins would benefit from trend estimates of higher degree and order, which is possible by directly estimating the trend coefficients with $${f}_{1}$$ f 1 or $${f}_{2}$$ f 2 , but not with the trend estimation from monthly solutions ( $${f}_{0}$$ f 0 ). Graphical Abstract |
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| spelling | doaj-art-defbfad5210d4dac95f5bb758f1a0fbc2025-08-20T03:03:38ZengSpringerOpenEarth, Planets and Space1880-59812025-07-0177111710.1186/s40623-025-02239-0Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missionsMarius Schlaak0Roland Pail1Institute for Astronomical and Physical Geodesy, Technical University of MunichInstitute for Astronomical and Physical Geodesy, Technical University of MunichAbstract The existing observation record of satellite gravity missions is already closing in on the minimum time series of 30 years needed to decouple natural and anthropogenic forcing mechanisms according to the Global Climate Observing System (GCOS). The launch of the next generation of gravity field missions [Gravity Recovery and Climate Experiment (GRACE)-Continuity, Next Generation Gravity Mission] is expected within this decade. These missions and their combination (Mass-Change and Geosciences International Constellation [MAGIC)] are setting high anticipation for an enhanced monitoring capability that will significantly improve the spatial and temporal resolution of gravity observations. This study investigates and compares the performance of three different trend estimation strategies for the first time in multi-decadal numerical closed-loop simulations of satellite gravimetry constellations. The considered satellite constellations are a GRACE-type in-line single pair mission and a MAGIC double pair mission with realistic noise assumptions for the key payload, tidal, and non-tidal background model errors. The parameter models used in this study consist of monthly solutions ( $${f}_{0}$$ f 0 ), co-estimation of monthly and trend parameters ( $${f}_{1}$$ f 1 ), and the direct estimation of trend and annual amplitudes ( $${f}_{2}$$ f 2 ). Thirty years of modeled mass transport time series of components of the terrestrial water storage, obtained from future climate projections, form the gravity signal used in the simulations. Our results show the potential of MAGIC’s advanced observation system in estimating a long-term trend. After 10 years, the global root-mean-square error of the trend estimates for the $${f}_{0}$$ f 0 parameter model improves from a single pair performance of 59.6–1.2 mm/yr for a double pair constellation. While the improved observation system mainly contributes to the higher resolution, direct trend estimation strategies can achieve minor but visible improvements. Since all three parameter models show globally comparable results, they are further analyzed regionally by dividing the world into 206 hydrological basins. Small basins and areas with low signal-to-noise ratio show slight improvements in the residuals. For example, after 10 years of observation, a single pair shows 1 mm/yr improvements for $${f}_{2}$$ f 2 compared to $${f}_{0}$$ f 0 . Furthermore, the regional analysis shows that a significant number of basins have a higher signal-to-noise ratio than the global average. These basins would benefit from trend estimates of higher degree and order, which is possible by directly estimating the trend coefficients with $${f}_{1}$$ f 1 or $${f}_{2}$$ f 2 , but not with the trend estimation from monthly solutions ( $${f}_{0}$$ f 0 ). Graphical Abstracthttps://doi.org/10.1186/s40623-025-02239-0Satellite gravimetryMAGICNGGM next generation gravity missionParameter modelClosed-loop simulation |
| spellingShingle | Marius Schlaak Roland Pail Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions Earth, Planets and Space Satellite gravimetry MAGIC NGGM next generation gravity mission Parameter model Closed-loop simulation |
| title | Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions |
| title_full | Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions |
| title_fullStr | Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions |
| title_full_unstemmed | Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions |
| title_short | Resolving climate-related mass transport trends: a parameter model comparison using closed-loop simulations of current and future satellite gravity missions |
| title_sort | resolving climate related mass transport trends a parameter model comparison using closed loop simulations of current and future satellite gravity missions |
| topic | Satellite gravimetry MAGIC NGGM next generation gravity mission Parameter model Closed-loop simulation |
| url | https://doi.org/10.1186/s40623-025-02239-0 |
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