{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T11:45:16Z","timestamp":1772797516166,"version":"3.50.1"},"reference-count":48,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,4,13]],"date-time":"2018-04-13T00:00:00Z","timestamp":1523577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National  Science Foundation of ChinaNatural","award":["41431069"],"award-info":[{"award-number":["41431069"]}]},{"name":"National natural science foundation for innovation group of China","award":["41721003"],"award-info":[{"award-number":["41721003"]}]},{"name":"DAAD Thematic Network Project","award":["57173947"],"award-info":[{"award-number":["57173947"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Monitoring the groundwater storage (GWS) changes is crucial to the rational utilization of groundwater and to ecological restoration in the Loess Plateau of China, which is one of the regions with the most extreme ecological environmental damage in the world. In this region, the mass loss caused by coal mining can reach the level of billions of tons per year. For this reason, in this work, in addition to Gravity Recovery and Climate Experiment (GRACE) satellite gravity data and hydrological models, coal mining data were also used to monitor GWS variation in the Loess Plateau during the period of 2005\u20132014. The GWS changes results from different GRACE solutions, that is, the spherical harmonics (SH) solutions, mascon solutions, and Slepian solutions (which are the Slepian localization of SH solutions), were compared with in situ GWS changes, obtained from 136 groundwater observation wells, and the aim was to acquire the most robust GWS changes. The results showed that the GWS changes from mascon solutions (mascon-GWS) match best with in situ GWS changes, showing the highest correlation coefficient, lowest root mean square error (RMSE) values and nearest annual trend. Therefore, the Mascon-GWS changes are used for the spatial-temporal analysis of GWS changes. Based on which, the groundwater depletion rate of the Loess Plateau was \u22120.65 \u00b1 0.07 cm\/year from 2005\u20132014, with a more severe consumption rate occurring in its eastern region, reaching about \u22121.5 cm\/year, which is several times greater than those of the other regions. Furthermore, the precipitation and coal mining data were used for analyzing the causes of the groundwater depletion: the results showed that seasonal changes in groundwater storage are closely related to rainfall, but the groundwater consumption is mainly due to human activities; coal mining in particular plays a major role in the serious groundwater consumption in eastern region of the study area. Our results will help in groundwater resource management, ecological restoration, and policy planning for coal mining and economic development.<\/jats:p>","DOI":"10.3390\/rs10040605","type":"journal-article","created":{"date-parts":[[2018,4,13]],"date-time":"2018-04-13T14:38:14Z","timestamp":1523630294000},"page":"605","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":76,"title":["Monitoring Groundwater Storage Changes in the Loess Plateau Using GRACE Satellite Gravity Data, Hydrological Models and Coal Mining Data"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9664-334X","authenticated-orcid":false,"given":"Xiaowei","family":"Xie","sequence":"first","affiliation":[{"name":"School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3459-7824","authenticated-orcid":false,"given":"Caijun","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China"},{"name":"Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China"},{"name":"Collaborative Innovation Center of Geospatial Technology, Wuhan University, Wuhan 430079, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8746-8615","authenticated-orcid":false,"given":"Yangmao","family":"Wen","sequence":"additional","affiliation":[{"name":"School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China"},{"name":"Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China"},{"name":"Collaborative Innovation Center of Geospatial Technology, Wuhan University, Wuhan 430079, China"}]},{"given":"Wei","family":"Li","sequence":"additional","affiliation":[{"name":"School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,4,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/j.agrformet.2016.11.129","article-title":"Spatiotemporal change and trend analysis of potential evapotranspiration over the Loess Plateau of China during 2011\u20132100","volume":"233","author":"Peng","year":"2017","journal-title":"Agric. For. Meteorol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"663","DOI":"10.4314\/wsa.v35i5.49192","article-title":"Comparison of GRACE with in situ hydrological measurement data shows storage depletion in Hai River basin, Northern China","volume":"35","author":"Moiwo","year":"2009","journal-title":"Water SA"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1126\/science.1099192","article-title":"GRACE measurements of mass variability in the Earth system","volume":"305","author":"Tapley","year":"2004","journal-title":"Science"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Barzaghi, R., Carrion, D., Pepe, M., and Prezioso, G. (2016). Computing the deflection of the vertical for improving aerialSurveys: A comparison between EGM2008 and ITALGEO05 estimates. Sensors, 16.","DOI":"10.3390\/s16081168"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"4184","DOI":"10.1002\/2015WR018085","article-title":"Comment on \u201cQuantifying renewable groundwater stress with GRACE\u201d by Alexandra S. Richey et al","volume":"52","author":"Sahoo","year":"2016","journal-title":"Water Resour. Res."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.advwatres.2018.02.008","article-title":"Determining Water Storage Depletion within Iran by Assimilating GRACE data into the W3RA Hydrological Model","volume":"114","author":"Khaki","year":"2018","journal-title":"Adv. Water Resour."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1080","DOI":"10.1073\/pnas.1704665115","article-title":"Global models underestimate large decadal declining and rising water storage trends relative to GRACE satellite data","volume":"115","author":"Scanlon","year":"2018","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/s10040-006-0103-7","article-title":"Estimating groundwater storage changes in the Mississippi River basin (USA) using GRACE","volume":"15","author":"Rodell","year":"2007","journal-title":"Hydrogeol. J."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1038\/nature08238","article-title":"Satellite-based estimates of groundwater depletion in India","volume":"460","author":"Rodell","year":"2009","journal-title":"Nature"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1016\/j.jhydrol.2016.10.042","article-title":"Validation of GRACE based groundwater storage anomaly using in-situ groundwater level measurements in India","volume":"543","author":"Bhanja","year":"2016","journal-title":"J. Hydrol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"686","DOI":"10.3390\/rs70100686","article-title":"Monitoring Groundwater Variations from Satellite Gravimetry and Hydrological Models: A Comparison with in-situ Measurements in the Mid-Atlantic Region of the United States","volume":"7","author":"Xiao","year":"2015","journal-title":"Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"9542","DOI":"10.1002\/2016WR018846","article-title":"Monitoring groundwater storage changes in complex basement aquifers: An evaluation of the GRACE satellites over East Africa","volume":"52","author":"Nanteza","year":"2016","journal-title":"Water Resour. Res."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3524","DOI":"10.1109\/JSTARS.2016.2574378","article-title":"Satellite Gravimetric Estimation of Groundwater Storage Variations Over Indus Basin in Pakistan","volume":"9","author":"Iqbal","year":"2016","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.epsl.2016.06.002","article-title":"Groundwater storage changes in the Tibetan Plateau and adjacent areas revealed from GRACE satellite gravity data","volume":"449","author":"Xiang","year":"2016","journal-title":"Earth Planet. Sci. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2011WR010534","article-title":"Gravity Recovery and Climate Experiment (GRACE) detection of water storage changes in the Three Gorges Reservoir of China and comparison with in situ measurements","volume":"47","author":"Wang","year":"2011","journal-title":"Water Resour. Res."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1002\/wrcr.20192","article-title":"Evaluation of groundwater depletion in North China using the Gravity Recovery and Climate Experiment (GRACE) data and ground-based measurements","volume":"49","author":"Feng","year":"2013","journal-title":"Water Resour. Res."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1663","DOI":"10.1007\/s10040-016-1412-0","article-title":"Mapping groundwater storage variations with GRACE: A case study in Alberta, Canada","volume":"24","author":"Huang","year":"2016","journal-title":"Hydrogeol. J."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1547","DOI":"10.1007\/s10040-016-1416-9","article-title":"Comparison of GRACE data and groundwater levels for the assessment of groundwater depletion in Jordan","volume":"24","author":"Liesch","year":"2016","journal-title":"Hydrogeol. J."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Miro, M.E., and Famiglietti, J.S. (2018). Downscaling GRACE Remote Sensing Datasets to High-Resolution Groundwater Storage Change Maps of California\u2019s Central Valley. Remote Sens., 10.","DOI":"10.3390\/rs10010143"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3878","DOI":"10.1002\/2016WR019933","article-title":"Machine learning algorithms for modeling groundwater level changes in agricultural regions of the US","volume":"53","author":"Sahoo","year":"2017","journal-title":"Water Resour. Res."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Zhong, Y., Zhong, M., Feng, W., Zhang, Z., Shen, Y., and Wu, D. (2018). Groundwater Depletion in the West Liaohe River Basin, China and Its Implications Revealed by GRACE and In Situ Measurements. Remote Sens., 10.","DOI":"10.3390\/rs10040493"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.rse.2017.02.011","article-title":"Global analysis of spatiotemporal variability in merged total water storage changes using multiple GRACE products and global hydrological models","volume":"192","author":"Long","year":"2017","journal-title":"Remote Sens. Environ."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Rateb, A., and Kuo, C.Y. (2017). Terrestrial Water Storage in African Hydrological Regimes Derived from GRACE Mission Data: Intercomparison of Spherical Harmonics, Mass Concentration, and Scalar Slepian Methods. Sensors, 17.","DOI":"10.3390\/s17030566"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.scitotenv.2017.03.268","article-title":"Monitoring the spatio-temporal changes of terrestrial water storage using GRACE data in the Tarim River basin between 2002 and 2015","volume":"595","author":"Yang","year":"2017","journal-title":"Sci. Total Environ."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.scitotenv.2017.03.226","article-title":"Temporal and spatial evolution of the standardized precipitation evapotranspiration index (SPEI) in the Loess Plateau under climate change from 2001 to 2050","volume":"595","author":"Gao","year":"2017","journal-title":"Sci. Total Environ."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.jhydrol.2016.01.003","article-title":"Spatiotemporal analysis of multiscalar drought characteristics across the Loess Plateau of China","volume":"534","author":"Liu","year":"2016","journal-title":"J. Hydrol."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1007\/s11368-016-1626-8","article-title":"Estimation of spatial variability of soil water storage along the south-north transect on China\u2019s Loess Plateau using the state-space approach","volume":"17","author":"Zhao","year":"2017","journal-title":"J. Soils Sediments"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/s10712-008-9049-8","article-title":"A comparison of global and regional grace models for land hydrology","volume":"29","author":"Klees","year":"2008","journal-title":"Surv. Geophys."},{"key":"ref_29","first-page":"B09402","article-title":"Variations in the Earth\u2019s oblateness during the past 28 years","volume":"109","author":"Cheng","year":"2004","journal-title":"J. Geophys. Res."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"B08410","DOI":"10.1029\/2007JB005338","article-title":"Estimating geocenter variations from a combination of GRACE and ocean model output","volume":"113","author":"Swenson","year":"2008","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1093\/gji\/ggs030","article-title":"Computations of the viscoelastic response of a 3-D compressible Earth to surface loading: An application to Glacial Isostatic Adjustment in Antarctica and Canada","volume":"192","author":"Geruo","year":"2013","journal-title":"Geophys. J. Int."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2005GL025285","article-title":"Post-processing removal of correlated errors in GRACE data","volume":"33","author":"Swenson","year":"2006","journal-title":"Geophys. Res. Lett."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2648","DOI":"10.1002\/2014JB011547","article-title":"Improved methods for observing Earth\u2019s time variable mass distribution with GRACE using spherical cap mascons","volume":"120","author":"Watkins","year":"2015","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"7490","DOI":"10.1002\/2016WR019344","article-title":"Quantifying and reducing leakage errors in the JPL RL05M GRACE mascon solution","volume":"52","author":"Wiese","year":"2016","journal-title":"Water Resour. Res."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1111\/j.1365-246X.2006.03065.x","article-title":"Spherical slepian functions and the polar gap in geodesy","volume":"166","author":"Simons","year":"2006","journal-title":"Geophys. J. Int."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"B11405","DOI":"10.1029\/2011JB008375","article-title":"Expected improvements in determining continental hydrology, ice mass variations, ocean bottom pressure signals, and earthquakes using two pairs of dedicated satellites for temporal gravity recovery","volume":"116","author":"Wiese","year":"2011","journal-title":"J. Geophys. Res. Solid"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"6291","DOI":"10.1029\/2009WR008564","article-title":"GRACE Hydrological estimates for small basins: Evaluating processing approaches on the High Plains Aquifer, USA","volume":"46","author":"Longuevergne","year":"2010","journal-title":"Water Resour. Res."},{"key":"ref_38","first-page":"503","article-title":"Review of the Post-processing Methods on GRACE Time Varied Gravity Data","volume":"41","author":"Xu","year":"2016","journal-title":"Geomat. Inf. Sci. Wuhan Univ."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.gloplacha.2013.02.008","article-title":"Large-scale global groundwater variations from satellite gravimetry and hydrological models, 2002\u20132012","volume":"106","author":"Jin","year":"2013","journal-title":"Glob. Planet Chang."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.jog.2012.01.009","article-title":"Assessment of terrestrial water contributions to polar motion from GRACE and hydrological models","volume":"62","author":"Jin","year":"2012","journal-title":"J. Geodyn."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"30205","DOI":"10.1029\/98JB02844","article-title":"Time variability of the earth\u2019s gravity field: Hydrological and oceanic effects and their possible detection using GRACE","volume":"103","author":"Wahr","year":"1998","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.epsl.2015.01.029","article-title":"Accelerated West Antarctic ice mass loss continues to outpace East Antarctic gains","volume":"415","author":"Harig","year":"2015","journal-title":"Earth Planet. Sci. Lett."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"3150","DOI":"10.1002\/2016GL067759","article-title":"Ice mass loss in Greenland, the Gulf of Alaska, and the Canadian Archipelago: Seasonal cycles and decadal trends","volume":"43","author":"Harig","year":"2016","journal-title":"Geophys. Res. Lett."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"2583","DOI":"10.1002\/2015JA021811","article-title":"Application of Slepian theory for improving the accuracy of SH-based global ionosphere models in the Arctic region","volume":"120","author":"Etemadfard","year":"2016","journal-title":"J. Geophys. Res."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"W04531","DOI":"10.1029\/2011WR011453","article-title":"Accuracy of scaled GRACE terrestrial water storage estimates","volume":"48","author":"Landerer","year":"2012","journal-title":"Water Resour. Res."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1029\/2010GL043231","article-title":"Inferring aquifer storage parameters using satellite and in situ measurements: Estimation under uncertainty","volume":"37","author":"Sun","year":"2010","journal-title":"Geophys. Res. Lett."},{"key":"ref_47","first-page":"65","article-title":"External cost estimation and internalization of coal mining in Shanxi from the perspective of supply chain","volume":"19","author":"Xu","year":"2017","journal-title":"J. Shandong Univ. Sci. Technol."},{"key":"ref_48","first-page":"1","article-title":"Evaluation analysis on the damage of Shanxi coal mining to water resources","volume":"28","author":"Liu","year":"2008","journal-title":"Shanxi Coal"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/4\/605\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:00:38Z","timestamp":1760194838000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/4\/605"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,13]]},"references-count":48,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2018,4]]}},"alternative-id":["rs10040605"],"URL":"https:\/\/doi.org\/10.3390\/rs10040605","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,13]]}}}