Forecast verification of a 3D model of the Mediterranean Sea. The use of discrete wavelet transforms and EOFs in the skill assessment of spatial forecasts

Journal of Marine Systems

Volumn 65, Issue 1-4 SPEC. ISS., 2007, Pages 460-483

  Alvera Azcarate A ^a   Barth, A ^a   Bouallègue, Z Ben ^b   Rixen, M ^c   Beckers, J M ^b  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

^b UNIVERSITY OF LIÈGE   (Belgium)

^c NATO UNDERSEA RESEARCH CENTRE   (Italy)

Author keywords

EOFs; Forecast verification; Mediterranean Sea; Spatio temporal analysis; Wavelets

Indexed keywords

COMPUTATIONAL COMPLEXITY; CORRELATION METHODS; MATHEMATICAL MODELS; TEMPERATURE MEASUREMENT; WAVELET TRANSFORMS; WEATHER FORECASTING;

FORECAST VERIFICATION; MEDITERRANEAN SEA; SPATIO-TEMPORAL ANALYSIS; WAVELETS;

OCEANOGRAPHY;

EXPERIMENTAL STUDY; FORECASTING METHOD; SEA LEVEL CHANGE; SEA SURFACE TEMPERATURE; SPATIOTEMPORAL ANALYSIS; THREE-DIMENSIONAL MODELING; WAVELET;

LIGURIAN SEA; MEDITERRANEAN SEA;

EID: 33846908464     PISSN: 09247963     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmarsys.2005.09.015     Document Type: Article

References (66)

1. Albérola C., and Millot C. Circulation in the French mediterranean coastal zone near Marseilles: the influence of wind and the Northern Current. Continental Shelf Research 23 (2003) 587-610
2. Albérola C., Millot C., and Font J. On the seasonal and mesoscale variabilities of the Northern Current during the 'PRIMO-0 experiment in the western Mediterranean Sea. Oceanologica Acta 18 (1995) 163-192
3. Alvera-Azcárate A., Barth A., Rixen M., and Beckers J.-M. Reconstruction of incomplete oceanographic data sets using Empirical Orthogonal Functions. Application to the Adriatic Sea. Ocean Modelling 9 (2005) 325-346
4. Astraldi M., and Gasparini G.P. The seasonal characteristics of the circulation in the north Mediterranean basin and their relationship with the atmospheric-climatic conditions. Journal of Geophysical Research 97 (1992) 9531-9540
5. Astraldi M., Balopoulos S., Candela J., Font J., Gacić M., Gasparini G.P., Manca B., Theocharis A., and Tintoré J. The role of straits and channels in understanding the characteristics of Mediterranean circulation. Progress in Oceanography 44 (1999) 65-108
6. Ayoub N., Le Traon P.Y., and De Mey P. A description of the Mediterranean surface variable circulation from combined ERS-1 and TOPEX/POSEIDON altimetric data. Journal of Marine Systems 18 (1998) 3-40
7. Barth A., Alvera-Azcárate A., Rixen M., and Beckers J.-M. Two-way nested model of mesoscale circulation features in the Ligurian Sea. Progress in Oceanography 66 (2005) 171-189
8. Barth A., Alvera-Azcárate A., Beckers J.-M., Rixen M., and Vandenbulcke L. Multigrid state vector for data assimilation in a two-way nested model of the Ligurian Sea. Journal of Marine Systems 65 (2007) 41-59 10.1016/j.jmarsys.2005.07.006 (this issue)
9. Beckers J.-M. Application of a 3D model to the western Mediterranean. Journal of Marine Science 1 (1991) 315-332
10. Beckers J.-M., and Rixen M. EOF calculations and data filling from incomplete oceanographic data sets. Journal of Atmospheric and Oceanic Technology 20 12 (2003) 1839-1856
11. Beckers J.-M., Rixen M., Brasseur P., Brankart J.-M., Elmoussaoui A., Crépon M., Herbaut C., Martel F., Van den Berghe F., Mortier L., Lascaratos A., Drakopoulos P., Korres P., Pinardi N., Masetti E., Castellari S., Carini P., Tintore J., Alvarez A., Monserrat S., Parrilla D., Vautard R., and Speich S. Model intercomparison in the Mediterranean. The MedMEx simulations of the seasonal cycle. Journal of Marine Systems 33-34 (2002) 215-251
12. Boer G.J., and Lambert S.J. Second-order space-time climate difference statistics. Climate Dynamics 17 (2001) 213-218
13. Brankart J.M., and Brasseur P. The general circulation in the Mediterranean Sea: a climatological approach. Journal of Marine Systems 18 (1998) 41-70
14. Brankart J.M., Testut C.E., Brasseur P., and Verron J. Implementation of a multivariate data assimilation scheme for isopycnic coordinate ocean modes: application to a 1993-96 hindcast of the North Atlantic Ocean circulation. Journal of Geophysical Research (2003) 3074 10.1029/2001JC001198
15. Brasseur P., Beckers J.-M., Brankart J.M., and Schoenauen R. Seasonal temperature and salinity fields in the Mediterranean Sea: climatological analyses of a historical data set. Deep-Sea Research. Part 1. Oceanographic Research Papers 43 (1996) 159-192
16. Brasseur P., Ballabera J., and Verron J. Assimilation of altimetric observations in a primitive equationmodel of the Gulf stream using a Singular Evolutive Extended Kalman filter. Journal of Marine Systems 22 4 (1999) 269-294
17. Briggs W.M., and Levine R.A. Wavelets and field forecast verification. Monthly Weather Review 125 (1997) 1329-1341
18. Casati B., Ross G., and Stephenson D.B. A new intensity-scale approach for the verification of spatial precipitation forecasts. Meteorological Applications (RMS) 11 (2004) 141-154
19. Chapa S.R., Rao B.V., and Durga-Prasad G.S.S. Application of wavelet transform to Meteosat-derived cold cloud index data over South America. Monthly Weather Review 126 (1998) 2466-2481
20. Daubechies I. Ten Lectures on Wavelets (1992), SIAM 357 pp.
21. Daubechies I., Guskov I., Schröder P., and Swelden W. Wavelets on irregular point sets. Philosophical Transactions of the Royal Society of London. A 357 1760 (1999) 2397-2413
22. Denis B., Laprise R., and Caya D. Sensitivity of a regional climate model to the resolution of the lateral boundary conditions. Climate Dynamics 20 (2003) 107-126
23. Ebert E.E., and McBride J.L. Verification of precipitation in weather systems: determination of systematic errors. Journal of Hydrology 239 (2000) 179-202
24. Font J., Garcia-Ladona E., and Gorriz E. The seasonality of mesoscale motion in the Northern Current of the western Mediterranean: several years of evidence. Oceanologica Acta 18 (1995) 207-219
25. Fournier A. Atmospheric energetics in the wavelet domain. Part I: governing equations and interpretation for idealized flows. Journal of the Atmospheric Sciences 59 (2002) 1182-1197
26. Fournier A. Atmospheric energetics in the wavelet domain. Part II: time-averaged observed atmospheric blocking. Journal of the Atmospheric Sciences 60 (2003) 319-338
27. Gacić M., Marullo S., Santoleri R., and Bergamasco A. Analysis of the seasonal and inetrannual variability of the sea surface temperature field in the Adriatic Sea from AVHRR data (1984-1992). Journal of Geophysical Research 102 (1997) 22937-22946
28. Gates W.L., Boyle J.S., Covey C., Dease C., Doutriaux C.M., Drach R.S., Fiorino M., Glecker P.J., Hnilo J.J., Marlais S.M., Phillips T.J., Potter G.L., Santer B.D., Sperber K.R., Taylor K.E., and Williams D.N. An overview of the results of the Atmospheric Model Intercomparison Project (AMIP I). Bulletin of the American Meteorological Society 80 1 (1999) 29-55
29. Hoffman R.N., Liu Z., Louis J.-F., and Grasotti C. Distortion representation of forecast errors. Monthly Weather Review 123 (1995) 2758-2770
30. Jolliffe I.T., and Stephenson D.B. Forecast verification. A Practitioner's Guide in Atmospheric Science (2003), Wiley
31. Kilpatrick K.A., Podestá G.P., and Evans R. Overview of the NOAA/NASA advanced very high resolution radiometer Pathfinder algorithm for sea surface temperature and associated match up database. Journal of Geophysical Research 106 C5 (2001) 9179-9197
32. Kumar P., and Foufoula-Georgiou E. A multicomponent decomposition of spatial rainfall fields. 1. Segregation of large-and small-scale features using wavelet transforms. Water Resources Research 29 8 (1993) 2515-2532
33. Kumar P., and Foufoula-Georgiou E. Wavelet analysis for geophysical applications. Reviews of Geophysics 35 4 (1997) 385-412
34. Larnicol G., Le Traon P.Y., Ayoub N., and De Mey P. Mean sea level and surface circulation variability of the Mediterranean Sea from 2 years of topex/poseidon altimetry. Journal of Geophysical Research 100 C12 (1995) 25163-25177
35. Lermusiaux P.F.J. Evolving the subspace of the three-dimensional multiscale ocean variability: Massachusetts bay. Journal of Marine Systems 29 (2001) 385-422
36. Lermusiaux P.F.J. On the mapping of multivariate geophysical fields: sensitivities to size, scales, and dynamics. Journal of Atmospheric and Oceanic Technology 19 (2002) 1602-1637
37. Liang X.S., and Robinson A.R. A study of the Iceland-Faroe frontal variability using the multiscale energy and vorticity analysis. Journal of Physical Oceanography 34 (2004) 2571-2591
38. Liang X.S., and Robinson A.R. Localized multiscale energy and vorticity analysis. I. Fundamentals. Dynamics of Atmospheres and Oceans 38 3-4 (2005) 195-230
39. Lindsay R.W., Percival D.B., and Rothrock D.A. The discrete wavelet transform and the scale analysis of the surface properties of sea ice. IEEE Transactions on Geoscience and Remote Sensing 34 3 (1996) 771-787
40. Livezey R.E., and Chen W.Y. Statistical field significance and its determination by Monte Carlo techniques. Monthly Weather Review 111 (1983) 46-59
41. Malanote-Rizzoli P., Manca B.B., Ribera d'Alcalà M., Theocharis A., Brenner S., Budillon G., and Ozsoy E. The Eastern Mediterranean in the 80s and in the 90s: the big transition in the intermediate and deep circulations. Dynamics of Atmospheres and Oceans 29 (1999) 365-395
42. Mallat S. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 11 n7 (1989) 674-693
43. Mallat S. A Wavelet Tour of Signal Processing (1998), Academic Press 637 pp.
44. MEDAR-Group, 2002. MEDATLAS/2002 database. Mediterranean and Black Sea database of temperature salinity and bio-chemical parameters. Climatological Atlas. Ifremer edition. 4 CD-ROM.
45. Milliff R.F., and Robinson A.R. Structure and dynamics of the Rhodes Gyre system and dynamical interpolation for estimates of the mesoscale variability. Journal of Physical Oceanography 22 (1992) 317-337
46. Millot C. Circulation in the Western Mediterranean Sea. Journal of Marine Systems 20 (1999) 423-442
47. Molcard A., Pinardi N., Iskandarani M., and Haidvogel D.B. Wind driven general circulation of the Mediterranean Sea simulated with a Spectral Element Ocean Model. Dynamics of Atmospheres and Oceans 35 (2002) 97-130
48. Murphy A.H., and Epstein E.S. Skill Scores and Correlation Coefficients in Model Verification. Monthly Weather Review 117 (1989) 572-581
49. Naveau P., and Oh H.-S. Polynomial wavelet regression for images with irregular boundaries. IEEE Transactions on Image Processing 13 6 (2004) 773-781
50. Oh H.-S., Naveau P., and Lee G. Polynomial boundary treatment for wavelet regression. Biometrika 88 1 (2001) 291-298
51. Pham D.T., and Verron J.C.R.M. A singular evolutive extended kalman filter for data assimilation in oceanography. Journal of Marine Systems 16 (1998) 323-340
52. Pinardi N., and Masetti E. Variability of the large scale general circulation of the Mediterranean Sea from observing and modelling: a review. Palaeogeography, Palaeoclimatology, Palaeoecology 158 (2000) 153-173
53. Raick C., Alvera-Azcárate A., Barth A., Brankart J.-M., Soetaert K., and Grégoire M. Application of a SEEK filter to a 1d biogeochemical model of the Ligurian sea: twin experiments and real in situ data assimilation. Journal of Marine Science 65 (2007) 561-583 10.1016/j.jmarsys.2005.06.006 (this issue)
54. Rao Y.R., and Murthy C.R. Comparative Analysis of Spectral, Empirical Orthogonal Function, and Wavelet Decompositions for an Upwelling Event. Journal of Atmospheric and Oceanic Technology 18 (2001) 704-710
55. Reynolds R.W., and Smith T. Improved global sea surface temperature analyses using optimum interpolation. Journal of Climate 7 (1994) 929-948
56. Sammari C., Millot C., and Prieur L. Aspects of the seasonal and mesoscale variabilities of the Northern Current in the Western Mediterranean Sea inferred from the prolig-2 and pros-6 experiments. Deep-Sea Research. Part 1. Oceanographic Research Papers 42 6 (1995) 893-917
57. Smith W.H.F., and Sandwell D.T. Global sea floor topography from satellite altimetry and ship depth soundings. Science 277 (1997) 1956-1962
58. Spedding G.R., Browand F.K., Huang N.E., and Long S.R. A 2-D complex wavelet analysis of an unsteady wind-generated surface wave field. Dynamics of Atmospheres and Oceans 20 (1993) 55-77
59. Sweldens W. The lifting scheme: a construction of second generation wavelets. SIAM Journal on Mathematical Analysis 29 2 (1997) 511-546
60. Taylor K.E. Summarizing multiple aspects of model performance in a single diagram. Journal of Geophysical Research 106 D7 (2001) 7183-7192
61. Torrence C., and Compo G.P. A practical guide to wavelet analysis. Bulletin of the American Meteorological Society 79 1 (1998) 61-78
62. Tusseau M.H., and Mouchel J.M. Nitrogen inputs to the Gulf of Lions via the Rhône river. In: Martin J., and Barth H. (Eds). Water Pollution Research Reports. Proceedings of the EROS 2000 Workshop, Hamburg (1994), Commission of the European Communities Mar.
63. Viudez A., Tintoré J., and Haney R. Circulation in the Alboran Sea as determined by quasi-synoptic hydrographic observations. Part I: three dimensional structure of the two Anticyclonic Gyres. Journal of Physical Oceanography 26 5 (1996) 684-705
64. Wilks D.S. Statistical Methods in the Atmospheric Sciences (1995), Academic Press 467 pp
65. Yano J.I., Moncrieff M.W., Wu X., and Yamada M. Wavelet analysis of simulated tropical convective cloud systes; Part I: basic analysis. Journal of the Atmospheric Sciences 58 (2001) 850-867
66. Younes W.A.N., Bensoussan N., Romano J.-C., Arlac D., and Lafont M.-G. Seasonal and interannual variations (1996-2000) of the coastal waters east of the Rhone River mouth as indicated by the SORCOM series. Oceanologica Acta 26 4 (2003) 311-321