{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T07:38:01Z","timestamp":1782891481581,"version":"3.54.5"},"reference-count":53,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Climate studies require long data records extending the lifetime of a single remote sensing satellite mission. Precise satellite altimetry exploring global and regional evolution of the sea level has now completed a two decade data record. A consistent long-term data record has to be constructed from a sequence of different, partly overlapping altimeter systems which have to be carefully cross-calibrated. This cross-calibration is realized globally by adjusting an extremely large set of single- and dual-satellite crossover differences performed between all contemporaneous altimeter systems. The total set of crossover differences creates a highly redundant network and enables a robust estimate of radial errors with a dense and rather complete sampling for all altimeter systems analyzed. An iterative variance component estimation is applied to obtain an objective relative weighting between altimeter systems with different performance. The final time series of radial errors is taken to estimate (for each of the altimeter systems) an empirical auto-covariance function. Moreover, the radial errors capture relative range biases and indicate systematic variations in the geo-centering of altimeter satellite orbits. The procedure has the potential to estimate for all altimeter systems the geographically correlated mean errors which is not at all visible in single-satellite crossover differences but maps directly to estimates of the mean sea surface.<\/jats:p>","DOI":"10.3390\/rs6032255","type":"journal-article","created":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T07:14:58Z","timestamp":1394608498000},"page":"2255-2281","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":109,"title":["Multi-Mission Cross-Calibration of Satellite Altimeters: Constructing a Long-Term Data Record for Global and Regional Sea Level Change Studies"],"prefix":"10.3390","volume":"6","author":[{"given":"Wolfgang","family":"Bosch","sequence":"first","affiliation":[{"name":"Deutsches Geod\u00e4tisches Forschungsinstitut (DGFI), Alfons-Goppel-Str. 11, M\u00fcnchen D-80539, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Denise","family":"Dettmering","sequence":"additional","affiliation":[{"name":"Deutsches Geod\u00e4tisches Forschungsinstitut (DGFI), Alfons-Goppel-Str. 11, M\u00fcnchen D-80539, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christian","family":"Schwatke","sequence":"additional","affiliation":[{"name":"Deutsches Geod\u00e4tisches Forschungsinstitut (DGFI), Alfons-Goppel-Str. 11, M\u00fcnchen D-80539, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1080\/714044521","article-title":"Absolute calibration of Jason-1 and TOPEX\/Poseidon altimeter in Corsica","volume":"26","author":"Bonnefond","year":"2003","journal-title":"Mar. Geod"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1080\/01490419.2010.488973","article-title":"Statistical models and latest results in the determination of the absolute bias for the radar altimeters of Jason satellites using the gavdos facility","volume":"33","author":"Mertikas","year":"2010","journal-title":"Mar. Geod"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"24465","DOI":"10.1029\/94JC01641","article-title":"Nerem: Calibration of TOPEX\/poseidon at platform harvest","volume":"99","author":"Christensen","year":"1994","journal-title":"J. Geophys. Res"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1080\/01490410490465373","article-title":"TOPEX\/Poseidon and Jason-1: Absolute calibration in Bass Strait, Australia","volume":"27","author":"Watson","year":"2004","journal-title":"Mar. Geod"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1080\/714044520","article-title":"The harvest experiment: Monitoring Jason-1 and TOPEX\/Poseidon from a Californian offshore platform","volume":"26","author":"Haines","year":"2003","journal-title":"Mar. Geod"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1080\/01490419.2010.491028","article-title":"The harvest experiment: Calibration of the climate data record from TOPEX\/poseidon, Jason-1 and the ocean surface topography mission","volume":"33","author":"Haines","year":"2010","journal-title":"Mar. Geod"},{"key":"ref_7","unstructured":"Bonnefond, P., Haines, B., and Watson, C. (2010). Coastal Altimetry, Springer."},{"key":"ref_8","unstructured":"Bonnefond, P., Exertier, P., Laurain, O., Guinle, T., and Femenias, P. (2012, January 24\u201329). Corsica: A Multi-Mission Absolute Calibration Site. Venice, Italy. SP-710."},{"key":"ref_9","unstructured":"Watson, C., Neil, W., Burgette, R., Coleman, R., Tregoning, P., Church, J., and Zhang, J. (2009, January 22\u201324). In situ Calibration at the Bass Strait Site, Australia. Seattle, WA, USA."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1080\/01490419.2012.718239","article-title":"A new method of precise Jason-2 altimeter calibration using a microwave transponder","volume":"35","author":"Hausleitner","year":"2012","journal-title":"Mar. Geod"},{"key":"ref_11","unstructured":"Cancet, M., Haines, B., Bonnefond, P., Jeansou, E., Lyard, F., and Femenias, P. (2013, January 8\u201311). Regional CALVAL of Jason-2 and ENVISAT in Corsica and at Harvest. Boulder, CO, USA. Available online: http\/\/www.aviso.oceanobs.com\/fileadmin\/documents\/OSTST\/2013\/oral\/cancet_calval_ostst2013.pdf."},{"key":"ref_12","unstructured":"Francis, R., Caporali, A., Cavaleri, L., Cenci, A., Ciotto, P., Ciraolo, L., Gurtner, W., Massmann, F.H., del Rosso, D., and Scharroo, R. (1993). The Calibration of the ERS-1 Radar Altimeter 1993 : The Venice Calibration Campaign, ESA. ESA Report ER-RP-ESA-RA-0257."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Murphy, C.M., Moore, P., and Woodworth, P. (1996). Short-arc calibration of the TOPEX\/POSEIDON and ERS 1 altimeters utilizing in situ data. J. Geophys. Res.","DOI":"10.1029\/96JC00632"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"8045","DOI":"10.1029\/97JC01917","article-title":"ERS-1\/2 orbit improvement using TOPEX\/POSEIDON: The 2 cm challenge","volume":"103","author":"Ogor","year":"1998","journal-title":"J. Geophys. Res"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1118","DOI":"10.1080\/01490419.2012.721632","article-title":"ENVISAT ocean altimeter becoming relevant for mean sea level trend studies","volume":"35","author":"Ollivier","year":"2012","journal-title":"Mar. Geod"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1468","DOI":"10.1016\/j.asr.2012.11.027","article-title":"Long term changes of altimeter range and geophysical corrections at altimetry calibration sites","volume":"51","author":"Andersen","year":"2013","journal-title":"Adv. Space Res"},{"key":"ref_17","first-page":"101","article-title":"Measuring sea level changes using GPS in buoys, sea level changes: Determination and effects","volume":"11","author":"Hein","year":"1992","journal-title":"Geophys. Monogr"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"24517","DOI":"10.1029\/94JC00920","article-title":"Calibration of the TOPEX altimeter using a GPS buoy","volume":"99","author":"Born","year":"1994","journal-title":"J. Geophys. Res"},{"key":"ref_19","unstructured":"Kruizinga, G.L. (1997). Validation and Applications of Satellite Radar Altimetry, Ph.D. Thesis, University of Texas, Austin, TX, USA."},{"key":"ref_20","unstructured":"Schutz, B.E., Kruizinga, G., Kuang, D., Abusali, P.A., Shum, C.K., Gutierrez, R., Nelson, S., and Rodriguez, E. (1995, January 11\u201315). Galveston Bay Experiment for Altimeter Calibration. San Francisco, NC, USA."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"53","DOI":"10.3319\/TAO.2008.19.1-2.53(SA)","article-title":"Accurate linking of Lake Erie water level with shoreline datum using GPS buoy and satellite altimetry","volume":"19","author":"Cheng","year":"2008","journal-title":"Terr. Atmos. Ocean. Sci"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1175\/1520-0426(1998)015<0721:MTSOSA>2.0.CO;2","article-title":"Monitoring the stability of satellite altimeters with tide gauges","volume":"15","author":"Mitchum","year":"1998","journal-title":"J. Atmos. Ocean. Technol"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Church, J.A., Woodworth, P.L., Aarup, T., and Wilson, W.S. (2010). Understanding Sea-Level Rise and Variability, Whiley-Blackwell.","DOI":"10.1002\/9781444323276"},{"key":"ref_24","unstructured":"Zwally, H., Schutz, R., Bentley, C., Bufton, J., Herring, T., Minster, J., Spinhirne, J., and Thomas, T. (2011). GLAS\/ICESat L1B Global Elevation Data. Version 33. GLA06, National Snow and Ice Data Center."},{"key":"ref_25","unstructured":"Savcenko, R., and Bosch, W. (2012). EOT11a\u2014Empirical Ocean Tide Model From Multi-Mission Satellite Altimetry, Deutsches Geod\u00e4tisches Forschungsinstitut. Report 89."},{"key":"ref_26","unstructured":"Available online: http:\/\/www.aviso.altimetry.fr\/en\/data\/products\/auxiliary-products\/atmospheric-corrections.html."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1986","DOI":"10.1109\/TGRS.2009.2037220","article-title":"A novel near-land radiometer wet path-delay retrieval algorithm: Application to the Jason-2\/OSTM advanced microwave radiometer","volume":"48","author":"Brown","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens"},{"key":"ref_28","unstructured":"Eymard, L., Obligis, E., and Tran, N. (2003). ERS\/MWR Drift Evaluation and Correction, European Space Agency (ESA). Technical Note CLS.DOS\/NT\/03.688."},{"key":"ref_29","unstructured":"Available online: https:\/\/earth.esa.int\/web\/guest\/-\/improvement-of-envisat-ra-2-reprocessed-data-v2-1."},{"key":"ref_30","unstructured":"Centroid vs. Gaussian (G-C) Correction Available online: http:\/\/nsidc.org\/data\/icesat\/correction-to-product-surface-elevations.html."},{"key":"ref_31","unstructured":"Ultra Stable Oscillator (USO) Correction Available online: http:\/\/earth.eo.esa.int\/pcs\/envisat\/ra2\/auxdata\/."},{"key":"ref_32","unstructured":"Schwatke, C., Bosch, W., Savcenko, R., and Dettmering, D. (2010). OpenADB\u2014An Open Database for Multi-Mission Altimetry, European Geosciences Union (EGU)."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Rudenko, S., Dettmering, D., Esselborn, S., Sch\u00f6ne, T., F\u00f6rste, C., Lemoine, J.-M., Ablain, M., Alexandre, D., and Neumayer, K.-H. (2013). Influence of time variable geopotential models on precise orbits of altimetry satellites, global and regional mean sea level trends. Adv. Space Res, udner review.","DOI":"10.1016\/j.asr.2014.03.010"},{"key":"ref_34","unstructured":"CDDIS Jason-1 Orbit Available online: ftp:\/\/cddis.gsfc.nasa.gov\/pub\/doris\/data\/ja1\/."},{"key":"ref_35","unstructured":"ESA ENVISAT Orbit Available online: ftp:\/\/diss-nas-fp.eo.esa.int\/doris\/vor_gdr_d\/."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Lemoine, F.G., Zelensky, N.P., Chinn, D.S., Beckley, B.D., and Lillibridge, J.L. (2006, January 21\u201324). Towards the GEOSAT follow-on precise orbit determination goals of high accuracy and near-real-time processing. Keystone, CO, USA.","DOI":"10.2514\/6.2006-6402"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1029\/JB088iB01p00659","article-title":"A technique for reducing low-frequency, time-dependent errors in network-type","volume":"88","author":"Cloutier","year":"1983","journal-title":"Surv. J. Geophys. Res"},{"key":"ref_38","unstructured":"Tregoning, P., and Rizos, C. (2005, January 22\u201326). Discrete Crossover Analysis. Cairns, QL, Australia."},{"key":"ref_39","unstructured":"Tregoning, P., and Rizos, C. (2005, January 22\u201326). Satellite Altimetry: Multi-Mission Cross Calibration. Cairns, QL, Australia."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1080\/01490419.2010.487779","article-title":"Global calibration of Jason-2 by multi-mission crossover analysis","volume":"33","author":"Dettmering","year":"2010","journal-title":"Mar. Geod"},{"key":"ref_41","unstructured":"Dettmering, D., and Bosch, W. (July, January 28). ENVISAT Radar Altimeter Calibration by Multi-Mission Crossover Analysis (CD-ROM). Bergen, Norway. SP-686."},{"key":"ref_42","unstructured":"Koch, K.R. (1997). Parametersch\u00e4tzung und Hypothesentests, D\u00fcmmler. [3rd ed]."},{"key":"ref_43","unstructured":"Golub, G.H., and van Loan, C.F. (1989). Matrix Computations, John Hopkins University Press. [2nd ed]."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s00190-002-0245-x","article-title":"Regularization of geopotential determination from satellite data by variance components","volume":"76","author":"Koch","year":"2002","journal-title":"J. Geod"},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Meier, S., and Keller, W. (1990). Geo Satistik, Springer.","DOI":"10.1007\/978-3-7091-9083-8"},{"key":"ref_46","unstructured":"Rosborough, G.W. (1986). Satellite Orbit Pertubations due to the Geopotential, Centre for Space Research, University of Texas. Report CSR-86-1."},{"key":"ref_47","unstructured":"Bonnefond, P., Exertier, P., Laurain, O., Guillot, A., Guinle, T., Picot, N., and F\u00e9m\u00e9nias, P. A Multi-Mission Absolute Calibration Site. Available online: http:\/\/www.aviso.oceanobs.com\/fileadmin\/documents\/OSTST\/2013\/oral\/Bonnefond_et_al-OSTST-2013.pdf."},{"key":"ref_48","unstructured":"Haines, B., Desai, S., and Born, B. The Long-Term Altimeter Calibration Record from the Harvest Platform. Available online: http:\/\/www.aviso.oceanobs.com\/fileadmin\/documents\/OSTST\/2013\/oral\/Haines_harvest_2013.pdf."},{"key":"ref_49","unstructured":"Watson, C., White, N., Church, J., Beardsley, J., King, M., and Coleman, R. Ongoing Monitoring of Absolute Bias from the Australian in-situ Calibration Sites: Bass Strait and Storm Bay. Available online: http:\/\/www.aviso.oceanobs.com\/fileadmin\/documents\/OSTST\/2013\/oral\/Watson_Absolute_Bias.pdf."},{"key":"ref_50","unstructured":"Scharroo, R., Visser, P.N.A.M., and Peacock, N.R. (2000, January 16\u201320). ERS Orbit Determination and Gravity Model Tailoring: Recent Developments. Gothenburg, Sweden. SP-461."},{"key":"ref_51","doi-asserted-by":"crossref","unstructured":"Flechtner, F., Sneeuw, N., and Schuh, W.-D. (2014). Observation of the System Earth from Space\u2014CHAMP, GRACE, GOCE and Future Missions: GEOTECHNOLOGIEN Science Report No. 20, Series: Advanced Technologies in Earth Sciences, Springer.","DOI":"10.1007\/978-3-642-32135-1"},{"key":"ref_52","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_53","unstructured":"Zelensky, N., Lemoine, F.G., Scharroo, R., Lillibridge, J.L., and Smith, W.H.F. (2010). Precise Orbit Determination for GEOSAT and GEOSAT Follow-On, OSTST2010."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/6\/3\/2255\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:09:09Z","timestamp":1760216949000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/6\/3\/2255"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3,12]]},"references-count":53,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2014,3]]}},"alternative-id":["rs6032255"],"URL":"https:\/\/doi.org\/10.3390\/rs6032255","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3,12]]}}}