[en] This study proposes a method for the cross calibration of tide gauges. Based on the combination of at least three collocated sea level time series, it takes advantage of the least squares variance component estimation (LS-VCE) method to assess both sea level biases and uncertainties in real conditions. The method was applied to a multi-instrument experiment carried out on Aix Island, France, in 2016. Six tide gauges were deployed to carry out simultaneous sea level recordings for 11 h. The best results were obtained with an electrical contact probe, which reaches a 3-mm uncertainty. The method allows us to assess both the biases and the precision—that is, the full accuracy—for each instrument. The results obtained with the proposed combination method have been compared to that of a buddy-checking method. It showed that the combination of all the time series also provides more precise bias estimates.
Abbondanza, C., Z. Altamimi, T. Chin, R. Gross, M. Heflin, J. Parker, and X. Wu, 2015: Three-corner hat for the assessment of the uncertainty of non-linear residuals of space-geodetic time series in the context of terrestrial reference frame analysis. J. Geod., 89, 313–329, https://doi.org/10.1007/s00190-014-0777-x.
Amiri-Simkooei, A., 2007: Least-squares variance component estimation: Theory and GPS applications. Ph.D. thesis, Delft University of Technology, 208 pp., http://resolver.tudelft.nl/uuid:bc7f8919-1baf-4f02-b115-dc926c5ec090.
Amiri-Simkooei, A., P. Teunissen, and C. Tiberius, 2009: Application of least-squares variance component estimation to GPS observables. J. Surv. Eng., 135, 149–160, https://doi.org/10.1061/(ASCE) 0733-9453(2009)135:4(149).
André, G., B. Martín Míguez, V. Ballu, L. Testut, and G. Wöppelmann, 2013: Measuring sea level with GPS-equipped buoys: A multi-instruments experiment at Aix Island. Int. Hydrogr. Rev., 10, 27–38.
BIPM, IEC, IFCC, ILAC, ISO, IUPAC, IUPAP, and OIML, 2008: International Vocabulary of Metrology—Basic and General Concepts and Associated Terms. JCGM 200:2008, 90 pp., https://www.bipm.org/utils/common/documents/jcgm/JCGM_ 200_2008.pdf.
Cartwright, D. E., 2000: Tides: A Scientific History. Cambridge University Press, 306 pp.
Caspary, W., 1987: Concepts of Network and Deformation Analysis. School of Surveying Monogr., Vol. 11, University of New South Wales, 183 pp.
de Viron, O., I. Panet, V. Mikhailov, M. Van Camp, and M. Diament, 2008: Retrieving earthquake signature in grace gravity solutions. Geophys. J. Int., 174, 14–20, https://doi.org/10.1111/j.1365-246X.2008.03807.x.
Feissel-Vernier, M., O. de Viron, and K. Le Bail, 2007: Stability of VLBI, SLR, DORIS, and GPS positioning. Earth Planets Space, 59, 475–497, https://doi.org/10.1186/BF03352712.
Fotopoulos, G., 2003: An analysis on the optimal combination of geoid, orthometric and ellipsoidal height data. Ph.D. thesis, University of Calgary, 238 pp., https://doi.org/10.11575/PRISM/10883.
Gouriou, T., B. Martín Míguez, and G. Wöppelmann, 2013: Reconstruction of a two-century long sea level record for the Pertuis d’Antioche (France). Cont. Shelf Res., 61–62, 31–40, https://doi.org/10.1016/j.csr.2013.04.028.
Gray, J. E., and D. W. Allan, 1974: A method for estimating the frequency stability of an individual oscillator. 28th Annual Symp. on Frequency Control, Atlantic City, NJ, IEEE, 243–246, https://doi.org/10.1109/FREQ.1974.200027.
IOC, 1985: Manual on sea level measurement and interpretation: Volume I-Basic procedures. IOC Manuals and Guides 14, UNESCO, 75 pp.
IOC,, 2002: Manual on sea level measurement and interpretation. Volume III-Reappraisals and recommendations as of the year 2000. IOC Manuals and Guides 14, UNESCO, 55 pp.
IOC, 2006: Manual on sea level measurement and interpretation. Volume IV-An update to 2006. IOC Manuals and Guides 14, UNESCO, 80 pp.
IOC, 2012: The Global Sea-Level Observing System (GLOSS): Implementation plan 2012. IOC Tech. Series 100, GOOS Rep. 194, JCOMM Tech. Rep. 66, UNESCO, 44 pp.
IOC, 2016: Manual on sea level measurement and interpretation. Volume V-Radar gauges. IOC Manuals and Guides 14, UNESCO, 220 pp.
Larson, K. M., R. D. Ray, and S. D. Williams, 2017: A 10-year comparison of water levels measured with a geodetic GPS receiver versus a conventional tide gauge. J. Atmos. Oceanic Technol., 34, 295–307, https://doi.org/10.1175/JTECH-D-16-0101.1.
Lennon, G., 1968: The evaluation of tide-gauge performance through the Van de Casteele test. Cah. Oceanogr., 20, 867–877.
Lentz, S. J., 1993: The accuracy of tide-gauge measurements at subtidal frequencies. J. Atmos. Oceanic Technol., 10, 238–245, https://doi.org/10.1175/1520-0426(1993)010<0238:TAOTGM> 2.0.CO;2.
MacAulay, P., C. O’Reilly, and K. Thompson, 2008: Atlantic Canada’s real-time water level system observations, predictions, forecasts and datums on the web. Proc. Canadian Hydrographic Conf. and National Surveyors Conf. 2008, Victoria, BC, Canada, Canadian Hydrographic Association, 18 pp., https://hydrography.ca/wp-content/uploads/files/2008conference/session_4/4-4_MacAulay_et_al.pdf.
Martín Míguez, B., R. Le Roy, and G. Wöppelmann, 2008a: The use of radar tide gauges to measure variations in sea level along the French coast. J. Coastal Res., 24, 61–68, https://doi.org/10.2112/06-0787.1.
Martín Míguez, B.,, L. Testut, and G. Wöppelmann, 2008b: The Van de Casteele test revisited: An efficient approach to tide gauge error characterization. J. Atmos. Oceanic Technol., 25, 1238–1244, https://doi.org/10.1175/2007JTECHO554.1.
Martín Míguez, B., L. Testut, and G. Wöppelmann, 2012: Performance of modern tide gauges: Towards mm-level accuracy. Sci. Mar., 76, 221–228, https://doi.org/10.3989/scimar.03618.18A.
Pálinkášs, V., and Coauthors, 2017: Regional comparison of absolute gravimeters, EURAMET. M.G-K2 key comparison. Metrologia, 54, 07012, https://doi.org/10.1088/0026-1394/54/1A/07012.
Park, J., R. Heitsenrether, and W. Sweet, 2014: Water level and wave height estimates at NOAA tide stations from acoustic and microwave sensors. J. Atmos. Oceanic Technol., 31, 2294–2308, https://doi.org/10.1175/JTECH-D-14-00021.1.
Pérez, B., A. Payo, D. López, P. Woodworth, and E. A. Fanjul, 2014: Overlapping sea level time series measured using different technologies: An example from the REDMAR Spanish network. Nat. Hazards Earth Syst. Sci., 14, 589, https://doi.org/10.5194/nhess-14-589-2014.
Pugh, D., and P. Woodworth, 2014: Sea-level measuring systems. Sea-Level Science: Understanding Tides, Surges, Tsunamis and Mean Sea-Level Changes, Cambridge University Press, 17–35, https://doi.org/10.1017/CBO9781139235778.005.
Pytharouli, S., S. Chaikalis, and S. C. Stiros, 2018: Uncertainty and bias in electronic tide-gauge records: Evidence from collocated sensors. Measurement, 125, 496–508, https://doi.org/10.1016/j.measurement.2018.05.012.
Takasu, T., 2013: Rtklib ver. 2.4. 2 manual. RTKLIB: An Open Source Program Package for GNSS Positioning, 183 pp., http://www.rtklib.com/prog/manual_2.4.2.pdf.
Teunissen, P. J. G., 1988: Towards a least-squares framework for adjusting and testing of both functional and stochastic models. Mathematical Geodesy and Positioning Series 26, Technische Universiteit Delft, 54 pp.
Teunissen, P. J. G., 2000: Adjustment Theory: An Introduction. Mathematical Geodesy and Positioning Series, Delft University Press, 193 pp.
Teunissen, P. J. G., and A. R. Amiri-Simkooei, 2008: Least-squares variance component estimation. J. Geod., 82, 65–82, https://doi.org/10.1007/s00190-007-0157-x.
Valty, P., O. de Viron, I. Panet, M. Van Camp, and J. Legrand, 2013: Assessing the precision in loading estimates by geodetic techniques in southern Europe. Geophys. J. Int., 194, 1441– 1454, https://doi.org/10.1093/gji/ggt173.
Watson, C., R. Coleman, and R. Handsworth, 2008: Coastal tide gauge calibration: A case study at Macquarie Island using GPS buoy techniques. J. Coastal Res., 244, 1071–1079, https://doi.org/10.2112/07-0844.1.