<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.clim-past.net/inc/cp/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Climate of the Past</journal_title>
		<journal_url>www.clim-past.net</journal_url>
		<issn>1814-9324</issn>
		<eissn>1814-9332</eissn>
		<volume_number>5</volume_number>
		<issue_number>2</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/cp-5-217-2009</doi>
	<article_url>http://www.clim-past.net/5/217/2009/</article_url>
	<abstract_html>http://www.clim-past.net/5/217/2009/cp-5-217-2009.html</abstract_html>
	<fulltext_pdf>http://www.clim-past.net/5/217/2009/cp-5-217-2009.pdf</fulltext_pdf>
	<start_page>217</start_page>
	<end_page>227</end_page>
	<publication_date>2009-06-23</publication_date>
	<article_title content_type="html">Two-dimensional reconstruction of past sea level (1950–2003) from tide gauge data and an Ocean General Circulation Model</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>W. Llovel</name>
			<email>william.llovel@legos.obs-mip.fr</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>A. Cazenave</name>
		</author>
		<author numeration="3" affiliations="2">
			<name>P. Rogel</name>
		</author>
		<author numeration="4" affiliations="3">
			<name>A. Lombard</name>
		</author>
		<author numeration="5" affiliations="1">
			<name>M. B. Nguyen</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">LEGOS, OMP, 18 avenue Edouard Belin, 31401 Toulouse Cedex 09, France</affiliation>
		<affiliation numeration="2" content_type="html">CERFACS/URA1875, 42, Avenue Gaspard Coriolis, 31057 Toulouse Cedex 01, France</affiliation>
		<affiliation numeration="3" content_type="html">CNES, 18 avenue Edouard Belin, 31401 Toulouse Cedex 09, France</affiliation>
	</affiliations>
	<abstract content_type="html">A two-dimensional reconstruction of past sea level is proposed at yearly
interval over the period 1950–2003 using tide gauge records from 99 selected
sites and 44-year long (1960–2003) 2&amp;deg;&amp;times;2&amp;deg; sea level grids from the
OPA/NEMO ocean general circulation model with data assimilation. We focus on
the regional variability and do not attempt to compute the global mean
trend. An Empirical Orthogonal Function decomposition of the reconstructed
sea level grids over 1950–2003 displays leading modes that reflect two main
components: (1) a long-term (multi-decadal), regionally variable signal and
(2) an interannual, regionally variable signal dominated by the signature of
El Nino-Southern Oscillation. Tests show that spatial trend patterns of the
54-year long reconstructed sea level significantly depend on the temporal
length of the two-dimensional sea level signal used for the reconstruction
(i.e., the length of the gridded OPA/NEMO sea level time series). On the
other hand, interannual variability is well reconstructed, even when only
~10-years of model grids are used. The robustness of the results is
assessed, leaving out successively each of the 99 tide gauges used for the
reconstruction and comparing observed and reconstructed time series at the
non considered tide gauge site. The reconstruction performs well at most
tide gauges, especially at interannual frequency.</abstract>
	<references>
		<reference numeration="1" content_type="text"> % vor jede Referenz Alvera-Azcarate, A., Barth, A., Rixen, M., and Beckers, J. M.: Reconstruction of incomplete oceanographic data sets using empirical orthogonal functions: applications to the Adriatic sea surface temperature, Ocean Model, 9(4), 325–346, doi:10.1016/j.ocemod.2004.08.001, 2005. </reference>
		<reference numeration="2" content_type="text"> Berge-Nguyen, M., Cazenave, A., Lombard, A., Llovel, W., Viarre, J., and Cretaux, J. F.: Reconstruction of past decades sea level using thermosteric sea level, tide gauge, satellite altimetry and ocean reanalysis data, Global. Planet. Change, 62, 1–13, 2008. </reference>
		<reference numeration="3" content_type="text"> Bindoff, N., Willebrand, J., Artale, V. , Cazenave, A., Gregory, J., Gulev, S., Hanawa, K., Le Quéré, C., Levitus, S., Nojiri, Y., Shum, C. K., Talley, L., and Unnikrishnan, A.: Observations: oceanic climate and sea level, in: Climate change 2007: The physical Science Basis. Contribution of Working Group I to the Fourth Assessment report of the Intergouvernmental Panel on Climate Change, edited by: Solomon S., Qin, D., Manning, M., Chen, Z., Marquis, M., Averyt, K. B., Tignor, M., and Miller, H. L., Cambridge University Press, Cambridge, UK, and New York, USA, 385–428, 2007. </reference>
		<reference numeration="4" content_type="text"> Cabanes, C., Cazenave, A., and Le Provost, C.: Sea level rise during past 40 years determined from satellite and in situ observations, Science, 294, 840–842, 2001. </reference>
		<reference numeration="5" content_type="text"> Cazenave A. and Nerem R. S.: Present-day sea level change: observations and causes, Rev. Geophys., 42, RG3001, doi:8755-1209/04/2003RG000139, 2004. </reference>
		<reference numeration="6" content_type="text"> Chambers, D. P., Mehlha, C. A., Urban, T. J., and Nerem, R. S.: Analysis of interannual and low-frequency variability in global mean sea level from altimetry and tide gauges, Phys. Chem. Earth, 27, 1407–1411, 2002. </reference>
		<reference numeration="7" content_type="text"> Church, J. A., White, N. J., Coleman, R., Lambeck, K., and Mitrovica, J. X.: Estimates of the regional distribution of sea-level rise over the 1950 to 2000 period, J. Climate, 17(13), 2609–2625, 2004. </reference>
		<reference numeration="8" content_type="text"> Church, J. A., White, N. J., and Hunter, J. R.: Sea-level rise at tropical Pacific and Indian Ocean islands, Global Planet. Change, 53(3), 155–168, 2006. </reference>
		<reference numeration="9" content_type="text"> Daget, N., Weaver, A. T., and Balmaseda, M. A.: Ensemble estimation of background-error variances in a three-dimensional variational data assimilation system for the global ocean, Q. J. Roy. Meteorol. Soc., 135, 1071–1094, 2009. </reference>
		<reference numeration="10" content_type="text"> Holgate, S. J. and Woodworth, P. L.: Evidence for enhenced coastal sea level rise during the 1990s, Geophys. Res. Lett., 31, L07305, doi:10.1029/2004GL019626, 2004. </reference>
		<reference numeration="11" content_type="text"> Holgate, S. J.: On the decadal rates of sea level change during the twentieth century, Geophys. Res. Lett., 31, L01602, doi:10.1029/2006GL028492, 2007. </reference>
		<reference numeration="12" content_type="text"> Ingleby, B. and Huddleston, M.: Quality control of ocean temperature and salinity profiles – historical and real-time data, J. Mar. Sys., 65, 148–175, 2007. </reference>
		<reference numeration="13" content_type="text"> Kalnay, E, Kanamitsu, M., Kistler, R., Collins, W., Deaven, D., Gandin, L., Iredell, M., Saha, S., White, G., Woollen, J., Zhu, Y., Leetmaa, A., Reynolds, B., Chelliah, M., Ebisuzaki, W., Higgins, W., Janowiak, J., Mo, K. C., Ropelewski, C., Wang, J., Roy, J., and Joseph, D.: The NCEP/NCAR 40-year reanalysis project, B. Am. Meteorol. Soc., 77, 437–471, 1996. </reference>
		<reference numeration="14" content_type="text"> Kaplan, A., Cane, M. A., Kushnir, Y., Clement, A. C., Blumenthal, M. B., and Rajagopalan, B.: Analyses of global sea surface temperature 1856–1991, J. Geophys. Res., 103, 18567–18589, 1998. </reference>
		<reference numeration="15" content_type="text"> Kuo, C., Shum, C. K., Braun, A., Cheng, K., and Yi, Y.: Vertical motion determined by combining satellite altimetry and tide gauge records, Terr. Atmos. Ocean. Sci., 19, 21~pp., U201335, doi:10.3319/TAO.2008.19.1-2.21.(SA), 2008. </reference>
		<reference numeration="16" content_type="text"> Levitus, S., Burgett, R., and Boyer, T. P.: World Ocean Atlas (National Oceanic and Atmospheric Administration, Silver Spring, MD), Vols. 3 and 4, 1994. </reference>
		<reference numeration="17" content_type="text"> Lombard, A., Cazenave, A., Le Traon, P. Y., and Ishii, M.: Contribution of thermal expansion to present-day sea level rise revisited, Global Planet. Change, 47, 1–16, 2005. </reference>
		<reference numeration="18" content_type="text"> Madec, G., Delecluse, P., Imbard, M., and Levy, C.: OPA 8.1 Ocean General Circulation Model reference manual. Notes du pôle de modélisation, Institut Pierre Simon Laplace (IPSL), France, 1998. </reference>
		<reference numeration="19" content_type="text"> Meehl, G. A., Stocker, T. F., Collins, W. D., Friedlingstein, P., Gaye, A. T., Gregory, J. M., Kitoh, A., Knutti, R., Murphy, J. M., Noda, A., Raper, S. C. B., Watterson, I. G., Weaver, A. J., and Zhao, Z.-C.: Global Climate Projections, in: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Solomon, S., Qin, D., Manning, M., Chen, Z., Marquis, M., Averyt, K. B., Tignor, M., and Miller, H. L., Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, 2007. </reference>
		<reference numeration="20" content_type="text"> Peltier, W. R.: Global Glacial Isostasy and the Surface of the Ice-Age Earth: The ICE-5G (VM2) Model and GRACE, Annu. Rev. Earth Pl. Sc., 32, 111–149, 2004. </reference>
		<reference numeration="21" content_type="text"> Preisendorfer, R. W.: Principal component Analysis in Meteorology and Oceanography, Developments in Atmospheric Science, vol 17, Elsevier, 425~pp., 1988. </reference>
		<reference numeration="22" content_type="text"> Rayner, N. A., Parker, D. E., Horton, E. B., Foll, C. K., Alexer, L. V., Powell, D. P., Kent, E. C., and Kaplan, A.: Global analyses of SST, sea ice, and night marine air temperature since the late nineteenth century, J. Geophys. Res., 108, 4407, doi:10.1029/2002JD002670, 2003. </reference>
		<reference numeration="23" content_type="text"> Ricci, S., Weaver, A. T., Vialard, J., and Rogel, P.: Incorporating state-dependent temperature-salinity constraints in the background-error covariance of variational ocean data assimilation, Mon. Weather Rev., 133, 317–338, 2005. </reference>
		<reference numeration="24" content_type="text"> Roullet, G. and Madec, G.: Salt conservation, free surface and varying volume : a new formulation for Ocean GCMs, J. Geophys. Res., 105, 23927–23942, 2000. </reference>
		<reference numeration="25" content_type="text"> Smith, T. M., Reynolds, R. W., and Ropelewski, C. F.: Optimal averaging of seasonal sea surface temperatures and associated confidence intervals (1860–1989), J. Climate, 7, 949–964, 1994. </reference>
		<reference numeration="26" content_type="text"> Smith, T. M., Reynolds, R. W., Livezey, R. E., and Stockes, D.: Reconstruction of historical sea surface temperature using Empirical Orthogonal Functions, J. Climate, 9, 1403–1420, 1996. </reference>
		<reference numeration="27" content_type="text"> Toumazou, V. and Cretaux, J. F.: Using a Lanczos eigensolver in the computation of Empirical Orthogonal Functions, Mon. Weather Rev., 129, 1243–1250, 2001. </reference>
		<reference numeration="28" content_type="text"> Troccoli, A. and Kallberg, P.: Precipitation correction in the ERA-40 reanalysis, ERA-40 Project Report Series 13, ECMWF, 2004. </reference>
		<reference numeration="29" content_type="text"> Uppala, S. M., da Costa Bechtold, V., Fiorino, M., Gibson, J. K., Haseler, J., Hernandez, A., Kelly, G. A., Li, X., Onogi, K., Saarinen, S., Sokka, N., Allan, R. P., Andersson, E., Arpe, K., Balmaseda, M. A., Beljaars, A. C. M., van de Berg, L., Bidlot, J., Bormann, N., Caires, S., Chevallier, F., Dethof, A., Dragosavac, M., Fisher, L., Fuentes, M., Hagemann, S., Hólm, E., Hoskins, B. J., Isaksen, L., Janssen, P. A. E. M., Jenne, R., McNally, A. P., Mahfouf, J.-F., Morcrette, J. J., Rayner, N. A., Saunders, R. W., Simon, P., Sterl, A., Trenberth, K. E., Untch, A., Vasiljevic, D., Viterbo, P., and Woollen, J.: The ERA-40 re-analysis, Q. J. Roy. Meteorol. Soc., 131, 2961–30128, 2005. </reference>
		<reference numeration="30" content_type="text"> Weaver, A. T., Deltel, C., Machu, E., Ricci, S., and Daget, N.: A multivariate balance operator for variational ocean data assimilation, Q. J. Roy. Meteorol. Soc., 131, 3605–3625, 2005. </reference>
		<reference numeration="31" content_type="text"> Woodworth, P. L. and Player, R.: The permanent service for mean sea level: an update to the 21st century, J. Coastal. Res., 19, 287–295, 2003. </reference>
	</references>
</article>

