EOF decomposition; SST and in situ validation; Adriatic Sea; Missing data
Abstract :
[en] A method for the reconstruction of missing data based on an EOF decomposition has been applied to a large data set, a test case of Sea Surface Temperature satellite images of the Adriatic Sea. The EOF decomposition is realised with a Lanczos method, which allows optimising computational time for large matrices. The results show that the reconstruction method leads to accurate reconstructions as well as a low cpu time when dealing with realistic cases. The method has been tested with different amounts of missing data, artificially adding clouds ranging from 40% to 80% of data loss, and then compared to the same data set with no missing data. A comparison with in situ data has also been made. These validation studies show that results are robust, even when the amount of missing data is very high. The reconstruction of the data from the Adriatic Sea shows realistic features and a reliable temperature distribution. In addition, the method is compared to an Optimal Interpolation reconstruction. The results obtained with both methods are very similar. The main difference is the computational time, which is reduced nearly 30 times with the method presented here. Once the reconstruction has been performed, the EOF decomposition is analysed to show the method's reliability, and a cold event on the Albanian coast is studied. The reconstructed data reflect the effect of wind on the Albanian coast, that led to a cold-water episode in this zone for a 6-day period. (c) 2004 Elsevier Ltd. All rights reserved.
Research Center/Unit :
GHER/MARE
Disciplines :
Earth sciences & physical geography
Author, co-author :
Alvera Azcarate, Aïda ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > GeoHydrodynamics and Environment Research (GHER)
Barth, Alexander ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Océanographie physique
Alvarez, A., Performance of satellite-based ocean forecasting (SOFT) systems: A study in the Adriatic Sea (2003) Journal of Atmospheric and Oceanic Technology, 20 (5), pp. 717-729
Artegiani, A., Bregant, D., Paschini, E., Pinardi, N., Raicich, F., Russo, A., The Adriatic Sea general circulation. Part I: Air-Sea interactions and water mass structure (1997) Journal of Physical Oceanography, 27, pp. 1492-1514
Artegiani, A., Bregant, D., Paschini, E., Pinardi, N., Raicich, F., Russo, A., The Adriatic Sea general circulation. Part II: Baroclinic circulation structure (1997) Journal of Physical Oceanography, 27, pp. 1515-1532
Beckers, J., Rixen, M., EOF calculations and data filling from incomplete oceanographic data sets (2003) Journal of Atmospheric and Oceanic Technology, 20, pp. 1839-1856
Bennani, M., Braconnier, T., Stopping criteria for eigensolvers (1994), pp. 1-20. , Technical Report TR/PA/94/22, CERFACS, Toulouse, France
Bennett, A., Inverse modeling of the ocean and the atmosphere (2002), Cambridge
Bergamasco, A., Gacić, M., Baroclinic response of the Adriatic Sea to an episode of Bora wind (1996) Journal of Physical Oceanography, 26, pp. 1354-1369
Bergamasco, A., Oguz, T., Malanotte-Rizzoli, P., Modelling dense water mass formation and winter circulation in the northern and central Adriatic Sea (1999) Journal of Marine Systems, 20, pp. 279-300
Borzelli, G., Manzella, G., Marullo, S., Santoleri, R., Observations of coastal filaments in the Adriatic Sea (1999) Journal of Marine Systems, 20, pp. 187-203
Brankart, J., Brasseur, P., Optimal analysis of in situ data in the Western Mediterranean using statistics and cross validation (1996) Journal of Atmospheric and Oceanic Technology, 16, pp. 477-491
Brasseur, P., Beckers, J., Brankart, J., Schoenauen, R., Seasonal temperature and salinity fields in the Mediterranean Sea: Climatological analyses of a historical data set (1996) Deep-Sea Research I, 43, pp. 159-192
Carter, E., Robinson, A., Analysis models for the estimation of oceanic fields (1987) Journal of Atmospheric and Oceanic Technology, 4 (1), pp. 49-74
Chatelin, F., (1993) Eigenvalues of Matrices, , Wiley
Chu, P., Hsing-Chia, T., Chang, C., Chen, J., South China warm pool detected in spring from the Navy's Master Oceanographic Observational Data Set (MOODS) (1997) Journal of Geophysical Research, 102 (C7), pp. 15761-15771
Cushman-Roisin, B., Gacić, M., Poulain, P., Artegiani, A., (2001) Physical Oceanography of the Adriatic Sea, , Kluwer Academic Publishers
da Silva, J., Ermakov, S., Robinson, I., Jeans, D., Kijashko, S., Role of surface films in ERS SAR signatures of internal waves on the shelf. 1. Short-period internal waves (1998) Journal of Geophysical Research, 103 (C4), pp. 8009-8031
Davis, R., Objective mapping by least squares fitting (1985) Journal of Geophysical Research, 90 (C3), pp. 4773-4777
Dousset, B., Firing, J., Flament, P., Jackson, H., Lumpkin, C., Maroni, C., Nacini, E., Young, D., Adriatic sea surface temperature images from the NOAA-AVHRR, 1995 (1998), Département d'Océanographie Spatiale IFREMER, Brest CD-ROM
Emery, W., Thomson, R., (1998) Data Analysis Methods in Physical Oceanography, , Pergamon
Everson, R., Cornillon, P., Sirovich, L., Webber, A., An empirical eigenfunction analysis of sea surface temperatures in the western North Atlantic (1997) Journal of Physical Oceanography, 27, pp. 468-479
Fieguth, P., Menemenlis, D., Ho, T., Willsky, A., Wunsch, C., Mapping mediterranean altimeter data with a multiresolution optimal interpolation algorithm (1998) Journal of Atmospheric and Oceanic Technology, 15, pp. 535-546
Gacić, M., Marullo, S., Santoleri, R., Bergamasco, A., Analysis of the seasonal and interannual variability of the sea surface temperature field in the Adriatic Sea from AVHRR data (1984-1992) (1997) Journal of Geophysical Research, 102, pp. 22937-22946
He, R., Weisberg, R., Zhang, H., Muller-Karger, F., A cloud-free, satellite-derived, sea surface temperature analysis for the West Florida Shelf (2003) Geophysical Research Letters, 30 (15). , R.W. H
Houseago-Stokes, R., Using optimal interpolation and EOF analysis on North Atlantic satellite data (2000) International WOCE Newsletter, 38, pp. 26-28
Kaplan, A., Cane, M.A., Kushnir, Y., Clement, A.C., Blumenthal, B., Rajagolapan, B., Analyses of global sea surface temperature 1856-1991 (1998) Journal of Geophysical Research, 103 (C9), pp. 18576-18589
Kaplan, A., Kushnir, Y., Cane, M., Blumenthal, M., Reduced space optimal analysis for historical datasets: 136 years of Atlantic Sea surface temperatures (1997) Journal of Geophysical Research, 102 (C3), pp. 27835-27860
Le Traon, P., Didarboure, G., Mesoscale mapping capabilities of multiple-satellite altimeter missions (1999) Journal of Atmospheric and Oceanic Technology, 16 (9), pp. 1208-1223
Le Traon, P., Didarboure, G., Ducet, N., Use of a high-resolution model to analyze the mapping capabilities of multiple-altimeter missions (2001) Journal of Atmospheric and Oceanic Technology, 18 (7), pp. 1277-1288
Le Traon, P., Nadal, F., Ducet, N., An improved mapping method of multisatellite altimeter data (1998) Journal of Atmospheric and Oceanic Technology, 15 (2), pp. 522-534
Lehoucq, R., Sorensen, D., Yang, C., ARPACK user's guide: Solution of large scale eigenvalue problems with implicity restarted Arnoldi methods (1997), pp. 1-152. , http://www.caam.rice.edu/software/ARPACK/, URL Available online at
Liu, A., Chang, Y., Hsu, M., Liang, N., Evolution of nonlinear internal waves in the East and South China seas (1998) Journal of Geophysical Research, 103 (C4), pp. 7995-8008
Martin, A., Phytoplankton patchiness: The role of lateral stirring and mixing (2003) Progress in Oceanography, 57, pp. 125-174
Mauri, E., Poulain, P., Northern Adriatic Sea surface circulation and temperature/pigment fields in September and October 1997 (2001) Journal of Marine Systems, 29, pp. 51-67
Mediterranean and Black Sea database of temperature salinity and bio-chemical parameters (2002) Climatological Atlas, , MEDAR-Group MEDATLAS/2002 database Ifremer edition 4 CD-ROM
Orlić, M., Gacić, M., La Violette, P., The currents and circulation of the Adriatic Sea (1992) Oceanologica Acta, 15 (2), pp. 109-124
Poulain, P., Drifter observations of surface circulation in the Adriatic Sea between December 1994 and March 1996 (1999) Journal of Marine Systems, 20, pp. 231-253
Poulain, P., Adriatic Sea circulation as derived from drifter data between 1990 and 1999 (2001) Journal of Marine Systems, 29, pp. 3-32
Reynolds, R.W., Smith, T., Improved global sea surface temperature analyses using optimum interpolation (1994) Journal of Climate, 7, pp. 929-948
Rixen, M., Beckers, J.-M., Brankart, J.-M., Brasseur, P., A numerically efficient data analysis method with error map generation (2001) Ocean Modelling, 2 (1-2), pp. 45-60
Robinson, A., Leslie, W., Estimation and prediction of oceanic eddy fields (1985) Progress in Oceanography, 14, pp. 485-510
Saunders, R., Kriebel, K.T., An improved method for detecting clear sky and cloudy radiances from AVHRR data (1988) International Journal of Remote Sensing, 9, pp. 123-150
Smith, T.M., Reynolds, R.W., Levezey, R.E., Stokes, D.C., Reconstruction of historical sea surface temperatures using empirical orthogonal functions (1996) Journal of Climate, 9, pp. 1403-1420
Strass, V., Chlorophyll patchiness caused by mesoscale upwelling at fronts (1992) Deep-Sea Research, 39, pp. 75-96
Toumazou, V., Cretaux, J., Using a Lanczos eigensolver in the computation of empirical orthogonal functions (2001) Monthly Weather Review, 125 (5), pp. 1243-1250
von Storch, H., Zwiers, W., (1999) Statistical Analysis in Climate Research, , Cambridge University Press
Wick, G., Emery, W., Schluessel, P., A comprehensive comparison between satellite-measured skin and multichannel sea surface temperature (1992) Journal of Geophysical Research, 97 (C4), pp. 5569-5595
Wilks, D., (1995) Statistical Methods in the Atmospheric Sciences, , Academic Press