Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea

Abstract The Gravity Recovery and Climate Experiment (GRACE) mission provides original observations to different institutions for the production of various monthly time-variable gravity field models (TVGFMs). Aiming to optimize the signal-to-noise ratio of TVGFMs, we determine to combine them in the...

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Main Authors: Wei You, Ke Qian, Xiangyu Wan, Biao Yu, Jiahui Zhang, Lun Pu, Jianwei Shu, Chong Liu
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-87922-8
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author Wei You
Ke Qian
Xiangyu Wan
Biao Yu
Jiahui Zhang
Lun Pu
Jianwei Shu
Chong Liu
author_facet Wei You
Ke Qian
Xiangyu Wan
Biao Yu
Jiahui Zhang
Lun Pu
Jianwei Shu
Chong Liu
author_sort Wei You
collection DOAJ
description Abstract The Gravity Recovery and Climate Experiment (GRACE) mission provides original observations to different institutions for the production of various monthly time-variable gravity field models (TVGFMs). Aiming to optimize the signal-to-noise ratio of TVGFMs, we determine to combine them in the spatial domain. This combination comprises two approaches: one combines spherical harmonic coefficient (SHC) solutions, and the other combines SHC and mascon (mass concentration) solutions together. For each approach, we employ four old weighting schemes and one new scheme named oceanic accuracy weighting. We then assessed the combined models through both internal and external validations. In external validation, we compare the Caspian Sea level changes derived from the combined models with those obtained from satellite altimeter. Our results reveal an improvement of the SHC combination using variance component estimation (VCE) weighting compared to any single SHC solution. Moreover, we found enhanced performance in the combined models with the incorporation of mascon solutions, particularly employing the oceanic accuracy weighting. These findings underscore the efficacy of model combination in improving performance, and emphasize the importance of selecting appropriate weighting strategies for integrating GRACE solutions. Specifically, we recommend VCE weighting scheme for combining SHC solutions only and oceanic accuracy weighting scheme for integrating mascon and SHC solutions.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-02-01
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spelling doaj-art-8b2805ca4ead426bb0f23b86448f5a5f2025-02-02T12:16:55ZengNature PortfolioScientific Reports2045-23222025-02-0115112510.1038/s41598-025-87922-8Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian SeaWei You0Ke Qian1Xiangyu Wan2Biao Yu3Jiahui Zhang4Lun Pu5Jianwei Shu6Chong Liu7Faculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityFaculty of Geosciences and Engineering, Southwest Jiaotong UniversityAbstract The Gravity Recovery and Climate Experiment (GRACE) mission provides original observations to different institutions for the production of various monthly time-variable gravity field models (TVGFMs). Aiming to optimize the signal-to-noise ratio of TVGFMs, we determine to combine them in the spatial domain. This combination comprises two approaches: one combines spherical harmonic coefficient (SHC) solutions, and the other combines SHC and mascon (mass concentration) solutions together. For each approach, we employ four old weighting schemes and one new scheme named oceanic accuracy weighting. We then assessed the combined models through both internal and external validations. In external validation, we compare the Caspian Sea level changes derived from the combined models with those obtained from satellite altimeter. Our results reveal an improvement of the SHC combination using variance component estimation (VCE) weighting compared to any single SHC solution. Moreover, we found enhanced performance in the combined models with the incorporation of mascon solutions, particularly employing the oceanic accuracy weighting. These findings underscore the efficacy of model combination in improving performance, and emphasize the importance of selecting appropriate weighting strategies for integrating GRACE solutions. Specifically, we recommend VCE weighting scheme for combining SHC solutions only and oceanic accuracy weighting scheme for integrating mascon and SHC solutions.https://doi.org/10.1038/s41598-025-87922-8GRACEOceanic accuracy weightingMasconCaspian Sea
spellingShingle Wei You
Ke Qian
Xiangyu Wan
Biao Yu
Jiahui Zhang
Lun Pu
Jianwei Shu
Chong Liu
Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea
Scientific Reports
GRACE
Oceanic accuracy weighting
Mascon
Caspian Sea
title Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea
title_full Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea
title_fullStr Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea
title_full_unstemmed Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea
title_short Spatial-domain combination of GRACE monthly time-variable gravity models based on multiple weighting strategies and comparison of models’ performance in the Caspian Sea
title_sort spatial domain combination of grace monthly time variable gravity models based on multiple weighting strategies and comparison of models performance in the caspian sea
topic GRACE
Oceanic accuracy weighting
Mascon
Caspian Sea
url https://doi.org/10.1038/s41598-025-87922-8
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