{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T04:03:58Z","timestamp":1777435438028,"version":"3.51.4"},"reference-count":23,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2017,1,24]],"date-time":"2017-01-24T00:00:00Z","timestamp":1485216000000},"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>Ocean tide loading (OTL) causes crustal displacements in coastal regions, and the relative variation of these ground displacements may reach several centimeters across differential interferometric synthetic aperture radar (DInSAR) interferograms. However, orbit errors seriously affect the analysis of long-wavelength crustal deformation signals such as the OTL effect because of their similar signatures in DInSAR interferograms. To correct the orbit errors, we used a linear surface model to model the relative displacements of the Global Positioning System (GPS) precise point positioning (PPP) in the line of sight (LOS) direction as a priori parameter of the long-wavelength crustal deformation signals. After correcting the orbit errors, an ocean tide model was applied to correct the OTL effect in the DInSAR interferograms. The proposed approach was verified with the DInSAR interferograms from the Los Angeles basin. The experimental results confirm that the real orbit errors can be modeled by the bilinear ramp function under the constraint of the priori parameter. Moreover, after removing the orbit errors, the OTL effect, which is dominant in the long-wavelength crustal deformation signals, can be revealed, and then be effectively eliminated by the FES2004 tide model.<\/jats:p>","DOI":"10.3390\/rs9020101","type":"journal-article","created":{"date-parts":[[2017,1,24]],"date-time":"2017-01-24T10:20:29Z","timestamp":1485253229000},"page":"101","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Analysis of Ocean Tide Loading in Differential InSAR Measurements"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5305-0963","authenticated-orcid":false,"given":"Wei","family":"Peng","sequence":"first","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, Hunan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qijie","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, Hunan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunmeng","family":"Cao","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, Hunan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,1,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1111\/j.1365-246X.1990.tb01790.x","article-title":"The response of a realistic Earth to ocean tide loading","volume":"103","author":"Pagiatakis","year":"1990","journal-title":"Geophys. J. Int."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1029\/97RG03139","article-title":"Radar interferometry and its application to changes in the earth\u2019s surface","volume":"36","author":"Massonnet","year":"1998","journal-title":"Rev. Geophys."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Xu, B., Li, Z., Feng, G., Zhang, Z., Wang, Q., Hu, J., and Chen, X. (2016). Continent-Wide 2-D co-seismic deformation of the 2015 Mw 8.3 Illapel, Chile earthquake derived from Sentinel-1A data: Correction of azimuth co-registration error. Remote Sens., 8.","DOI":"10.3390\/rs8050376"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"896","DOI":"10.1093\/gji\/ggv335","article-title":"Geodetic model of the 2015 April 25 Mw 7.8 Gorkha Nepal earthquake and Mw 7.3 aftershock estimated from InSAR and GPS data","volume":"203","author":"Feng","year":"2015","journal-title":"Geophys. J. Int."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"15542","DOI":"10.1038\/srep15542","article-title":"InSAR analysis of surface deformation over permafrost to estimate active layer thickness based on one-dimensional heat transfer model of soils","volume":"5","author":"Li","year":"2015","journal-title":"Sci. Rep."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"DiCaprio, C.J., and Simons, M. (2008). Importance of ocean tidal load corrections for differential InSAR. Geophys. Res. Lett., 35.","DOI":"10.1029\/2008GL035806"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2324","DOI":"10.1002\/2013JB010588","article-title":"Improving InSAR geodesy using global atmospheric models","volume":"119","author":"Jolivet","year":"2014","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/j.epsl.2015.03.037","article-title":"High interseismic coupling in the eastern Makran (Pakistan) subduction zone","volume":"420","author":"Lin","year":"2015","journal-title":"Earth Planet. Sci. Lett."},{"key":"ref_9","first-page":"369","article-title":"High-resolution interseismic velocity data along the San Andreas fault from GPS and InSAR","volume":"118","author":"Tong","year":"2013","journal-title":"Can. J. Earth Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1007\/s00190-012-0571-6","article-title":"Reliable estimation of orbit errors in spaceborne SAR interferometry","volume":"86","author":"Hanssen","year":"2012","journal-title":"J. Geodesy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/s00190-006-0118-9","article-title":"A comparison of GPS, VLBI and model estimates of ocean tide loading displacements","volume":"81","author":"Thomas","year":"2007","journal-title":"J. Geod."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Allinson, C.R., Clarke, P.J., Edwards, S.J., King, M.A., Baker, T.F., and Cruddace, P.R. (2004). Stability of direct GPS estimates of ocean tide loading. Geophys. Res. Lett., 31.","DOI":"10.1029\/2004GL020588"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1007\/s00190-009-0319-0","article-title":"Estimates of ocean tide loading displacements and its impact on position time series in Hong Kong using a dense continuous GPS network","volume":"83","author":"Yuan","year":"2009","journal-title":"J. Geod."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1074","DOI":"10.1029\/2005JB004047","article-title":"GPS height time series: Short-period origins of spurious long-period signals","volume":"112","author":"Penna","year":"2007","journal-title":"J. Geophys. Res. Solid Earth"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Penna, N.T., Clarke, P.J., Bos, M.S., and Baker, T.F. (2015). Ocean tide loading displacements in western Europe: 1. validation of kinematic GPS estimates. J. Geophys. Res. Solid Earth, 120.","DOI":"10.1002\/2015JB011882"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1046\/j.1365-246X.2002.01661.x","article-title":"Co-seismic slip from the 1995 July 30 Mw = 8.1 Antofagasta, Chile, earthquake as constrained by InSAR and GPS observations","volume":"150","author":"Pritchard","year":"2002","journal-title":"Geophys. J. Int."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4818","DOI":"10.1109\/TGRS.2016.2551779","article-title":"InSAR-based model parameter estimation of probability integral method and its application for predicting mining-induced horizontal and vertical displacements","volume":"54","author":"Yang","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1080\/03610927708827533","article-title":"Robust regression using iteratively reweighted least-squares","volume":"6","author":"Holland","year":"1977","journal-title":"Commun. Stat. Theory"},{"key":"ref_19","unstructured":"GAMMA Remote Sensing. Available online: http:\/\/www.gamma-rs.ch\/gamma.html."},{"key":"ref_20","unstructured":"Bernese GNSS Software. Available online: http:\/\/www.bernese.unibe.ch."},{"key":"ref_21","unstructured":"RINEX data of the Scripps Orbit and Permanent Array Center (SOPAC). Available online: ftp:\/\/garner.ucsd.edu\/pub\/rinex\/."},{"key":"ref_22","unstructured":"Agnew, D.C. (2012). SPOTL: Some Programs for Ocean-Tide Loading, Scripps Institution of Oceanography."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1007\/s10236-006-0086-x","article-title":"Modelling the global ocean tides: Modern insights from FES2004","volume":"56","author":"Lyard","year":"2006","journal-title":"Ocean Dyn."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/9\/2\/101\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:26:54Z","timestamp":1760207214000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/9\/2\/101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,24]]},"references-count":23,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,2]]}},"alternative-id":["rs9020101"],"URL":"https:\/\/doi.org\/10.3390\/rs9020101","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,24]]}}}