{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T03:10:59Z","timestamp":1770779459515,"version":"3.50.0"},"reference-count":46,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,7]],"date-time":"2018-02-07T00:00:00Z","timestamp":1517961600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>The North China Plain (NCP) has been experiencing the most severe groundwater depletion in China, leading to a broad region of vertical motions of the Earth\u2019s surface. This paper explores the seasonal and linear trend variations of surface vertical displacements caused by the groundwater changes in NCP from 2009 to 2013 using Global Positioning System (GPS) and Gravity Recovery and Climate Experiment (GRACE) techniques. Results show that the peak-to-peak amplitude of GPS-derived annual variation is about 3.7~6.0 mm and is highly correlated (R &gt; 0.6 for most selected GPS stations) with results from GRACE, which would confirm that the vertical displacements of continuous GPS (CGPS) stations are mainly caused by groundwater storage (GWS) changes in NCP, since GWS is the dominant component of total water storage (TWS) anomalies in this area. The linear trends of selected bedrock-located IGS CGPS stations reveal the distinct GWS changes in period of 2009\u20132010 (decrease) and 2011\u20132013 (rebound), which are consistent with results from GRACE-derived GWS anomalies and in situ GWS observations. This result implies that the rate of groundwater depletion in NCP has slowed in recent years. The impacts of geological condition (bedrock or sediment) of CGPS stations to their results are also investigated in this study. Contrasted with the slight linear rates (\u22120.69~1.5 mm\/a) of bedrock-located CGPS stations, the linear rates of sediment-located CGPS stations are between \u221244 mm\/a and \u221217 mm\/a. It is due to the opposite vertical displacements induced by the Earth surface\u2019s porous and elastic response to groundwater depletion. Besides, the distinct renewal characteristics of shallow and deep groundwater in NCP are discussed. The GPS-based vertical displacement time series, to some extent, can reflect the quicker recovery of shallow unconfined groundwater than the deep confined groundwater in NCP; through one month earlier to attain the maximum height for CGPS stations nearby shallow groundwater depression cones than those nearby deep groundwater depression cones.<\/jats:p>","DOI":"10.3390\/rs10020259","type":"journal-article","created":{"date-parts":[[2018,2,7]],"date-time":"2018-02-07T12:20:29Z","timestamp":1518006029000},"page":"259","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":40,"title":["Vertical Displacements Driven by Groundwater Storage Changes in the North China Plain Detected by GPS Observations"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7103-445X","authenticated-orcid":false,"given":"Renli","family":"Liu","sequence":"first","affiliation":[{"name":"School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China"}]},{"given":"Rong","family":"Zou","sequence":"additional","affiliation":[{"name":"Hubei Subsurface Multi-Scale Imaging Key Laboratory, Institute of Geophysics & Geomatics, China University of Geosciences (Wuhan), Wuhan 430074, China"}]},{"given":"Jiancheng","family":"Li","sequence":"additional","affiliation":[{"name":"School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China"}]},{"given":"Caihong","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Seismology, China Earthquake Administration & Hubei Earthquake Administration, Wuhan 430071, China"}]},{"given":"Bin","family":"Zhao","sequence":"additional","affiliation":[{"name":"Institute of Seismology, China Earthquake Administration & Hubei Earthquake Administration, Wuhan 430071, China"}]},{"given":"Yakun","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,7]]},"reference":[{"key":"ref_1","unstructured":"China Water Resources Bulletin (2017, December 19). Ministry of Water Resources of China (MWR), Beijing, Available online: http:\/\/www.mwr.gov.cn\/sj\/tjgb\/szygb\/."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1111\/j.1745-6584.2010.00695_3.x","article-title":"Can China Cope with Its Water Crissis?-Perspective from the North China Plain","volume":"48","author":"Zheng","year":"2010","journal-title":"Ground Water"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.1002\/hyp.9276","article-title":"Analysis of satellite-based and in situ hydro-climatic data depicts water storage depletion in North China Region","volume":"27","author":"Moiwo","year":"2013","journal-title":"Hydrol. Process."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2110","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_5","doi-asserted-by":"crossref","first-page":"3924","DOI":"10.1002\/grl.50790","article-title":"Anthropogenic impacts on mass change in North China","volume":"40","author":"Tang","year":"2013","journal-title":"Geophys. Res. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.gloplacha.2013.02.008","article-title":"Large-scale variations of global groundwater from satellite gravimetry and hydrological models, 2002\u20132012","volume":"106","author":"Jin","year":"2013","journal-title":"Glob. Planet. Chang."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1029\/RG010i003p00761","article-title":"Deformation of the Earth by surface loads","volume":"10","author":"Farrell","year":"1972","journal-title":"Rev. Geophys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1111\/j.1365-246X.2003.02150.x","article-title":"Love\u2019s problem","volume":"156","author":"Becker","year":"2004","journal-title":"Geophys. J. Int."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Tsai, V.C. (2011). A model for seasonal changes in GPS positions and seismic wave speed due to thermoelastic and hydrologic variations. J. Geophys. Res., 116.","DOI":"10.1029\/2010JB008156"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.coal.2013.10.012","article-title":"Simulation of hydraulic fracturing using particle flow method and application in a coal mine","volume":"121","author":"Wang","year":"2014","journal-title":"Int. J. Coal Geol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.petrol.2016.12.009","article-title":"The effect of natural fractures on hydraulic fracturing propagation in coal seams","volume":"150","author":"Wang","year":"2017","journal-title":"J. Pet. Sci. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Davis, J.L., El\u00f3segui, P., Mitrovica, J.X., and Tamisiea, M.E. (2004). Climate-driven deformation of the solid Earth from GRACE and GPS. Geophys. Res. Lett., 31.","DOI":"10.1029\/2004GL021435"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Van Dam, T., Wahr, J., and Lavall\u00e9e, D. (2007). A comparison of annual vertical crustal displacements from GPS and Gravity Recovery and Climate Experiment (GRACE) over Europe. J. Geophys. Res., 112.","DOI":"10.1029\/2006JB004335"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Fu, Y., and Freymueller, J. (2012). Seasonal and long-term vertical deformation in the Nepal Himalaya constrained by GPS and GRACE measurements. J. Geophys. Res., 117.","DOI":"10.1029\/2011JB008925"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"30525","DOI":"10.3390\/s151229815","article-title":"Seasonal hydrological loading in southern Tibet detected by joint analysis of GPS and GRACE","volume":"15","author":"Zou","year":"2015","journal-title":"Sensors"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"19861","DOI":"10.3390\/s141019861","article-title":"Earth Surface Deformation in the North China Plain Detected by Joint Analysis of GRACE and GPS Data","volume":"14","author":"Liu","year":"2014","journal-title":"Sensors"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"2905","DOI":"10.5194\/hess-21-2905-2017","article-title":"Detecting seasonal and long-term vertical displacement in the North China Plain using GRACE and GPS","volume":"21","author":"Wang","year":"2017","journal-title":"Hydrol. Earth Syst. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/0169-555X(95)00147-W","article-title":"Palaeochannels on the North China Plain: Types and distributions","volume":"18","author":"Wu","year":"1996","journal-title":"Geomorphology"},{"key":"ref_19","unstructured":"Wang, G. (2010). Groundwater System in Northern China, Geological House."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1029\/1999GL900148","article-title":"GPS observation of crustal deformation in the Taiwan-Luzon region","volume":"26","author":"Yu","year":"1999","journal-title":"Geophys. Res. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s12518-014-0122-3","article-title":"GNSS network products for post-processing positioning: Limitations and peculiarities","volume":"6","author":"Dabove","year":"2014","journal-title":"Appl. Geomat."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"695","DOI":"10.1007\/s11430-012-4412-5","article-title":"A precise velocity field of tectonic deformation in China as inferred from intensive GPS observations","volume":"55","author":"Li","year":"2012","journal-title":"Sci. China Earth Sci."},{"key":"ref_23","unstructured":"Herring, T.A., King, R.W., and McClusky, S.C. (2017, December 19). Introduction to GAMIT\/GLOBK; 2015, MIT. Available online: http:\/\/www-gpsg.mit.edu\/~simon\/gtgk\/docs.htm."},{"key":"ref_24","unstructured":"G\u00e9rard, P., and Brian, L. (2017, December 19). IERS Conventions (IERS Technical Note; 36), Frankfurt am Main: Verlag des Bundesamts f\u00fcr Kartographie und Geod\u00e4sie. Available online: https:\/\/www.iers.org\/IERS\/EN\/Publications\/TechnicalNotes\/TechnicalNotes.html."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1007\/s00190-015-0876-3","article-title":"Absolute IGS antenna phase center model igs08.atx: Status and potential improvements","volume":"90","author":"Schmid","year":"2016","journal-title":"J. Geodesy"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"B\u00f6hm, J., Niell, A., Tregoning, P., and Schuh, H. (2006). Global Mapping Function (GMF): A new empirical mapping function based on numerical weather data. Geophys. Res. Lett., 33.","DOI":"10.1029\/2005GL025546"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1007\/s00190-011-0444-4","article-title":"ITRF2008: An improved solution of the international terrestrial reference frame","volume":"85","author":"Altamimi","year":"2011","journal-title":"J. Geodesy"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Barzaghi, R., Carrion, D., Pepe, M., and Prezioso, G. (2016). Computing the Deflection of the Vertical for Improving Aerial Surveys: A Comparison between EGM2008 and ITALGEO05 Estimates. Sensors, 16.","DOI":"10.3390\/s16081168"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1620","DOI":"10.1016\/j.asr.2007.03.062","article-title":"Temporal gravity field models inferred from GRACE data","volume":"39","author":"Lemoine","year":"2007","journal-title":"Adv. Space Res."},{"key":"ref_30","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."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Kusche, J., and Schrama, E. (2005). Surface mass redistribution inversion from global GPS deformation and Gravity Recovery and Climate Experiment (GRACE) gravity data. J. Geophys. Res., 110.","DOI":"10.1029\/2004JB003556"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Cheng, M., and Tapley, B.D. (2004). Variations in the Earth\u2019s oblateness during the past 28 years. J. Geophys. Res., 109.","DOI":"10.1029\/2004JB003028"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Swenson, S., Chambers, D., and Wahr, J. (2008). Estimating geocenter variations from a combination of GRACE and ocean model output. J. Geophys. Res., 113.","DOI":"10.1029\/2007JB005338"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Chen, J.L., Wilson, C.R., Tapley, B.D., and Grand, S. (2007). GRACE detects coseismic and postseismic deformation from the Sumatra-Andaman earthquake. Geophys. Res. Lett., 34.","DOI":"10.1029\/2007GL030356"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1175\/BAMS-85-3-381","article-title":"The global land data assimilation system","volume":"85","author":"Rodell","year":"2004","journal-title":"Bull. Am. Meteorol. Soc."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Landerer, F., and Swenson, S. (2012). Accuracy of scaled GRACE terrestrial water storage estimates. Water Resour. Res., 48.","DOI":"10.1029\/2011WR011453"},{"key":"ref_37","unstructured":"Zhang, M.J., and Fei, Y.H. (2009). Atlas of Groundwater Sustainable Utilization in North China Plain, China Cartographic Publishing House."},{"key":"ref_38","unstructured":"Nikolaidis, R. (2002). Observation of Geodetic and Seismic Deformation with the Global Positioning System. [Ph.D. Thesis, University of California San Deigo]."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1029\/2012WR011899","article-title":"Use of flow modeling to assess sustainability of groundwater resources in the North China Plain","volume":"49","author":"Cao","year":"2013","journal-title":"Water Resour. Res."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1016\/j.jhydrol.2016.10.020","article-title":"Estimation of actual irrigation amount and its impact on groundwater depletion: A case study in the Hebei Plain, China","volume":"543","author":"Hu","year":"2016","journal-title":"J. Hydrol."},{"key":"ref_41","unstructured":"Tan, X. (2012). The Study of Groundwater Recharge in North China Plain. [Ph.D. Thesis, Wuhan University]. (In Chinese)."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Galloway, D.L., Jones, D.R., and Ingebritsen, S.E. (1999). Land Subsidence in the United States.","DOI":"10.3133\/cir1182"},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Munekane, H., Tobita, M., and Takashima, K. (2004). Groundwater-induced vertical movements observed in Tsukuba. Geophys. Res. Lett., 31.","DOI":"10.1029\/2004GL020158"},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Ji, K.H., and Herring, T. (2012). Correlation between changes in groundwater levels and surface deformation from GPS measurements in the San Gabriel Valley. Geophys. Res. Lett., 39.","DOI":"10.1029\/2011GL050195"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.enggeo.2004.06.006","article-title":"Review on current status and challenging issues of land subsidence in China","volume":"76","author":"Hu","year":"2004","journal-title":"Eng. Geol."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1415","DOI":"10.1007\/s12665-015-4131-2","article-title":"Groundwater-derived land subsidence in the North China Plain","volume":"74","author":"Guo","year":"2015","journal-title":"Environ. Earth Sci."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/2\/259\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:54:08Z","timestamp":1760194448000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/2\/259"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2,7]]},"references-count":46,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2018,2]]}},"alternative-id":["rs10020259"],"URL":"https:\/\/doi.org\/10.3390\/rs10020259","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2,7]]}}}