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20 June 2012
Article (Scientific journals)
Generation of analysis and consistent error fields using the Data Interpolating Variational Analysis (Diva)
Troupin, Charles  ; Barth, Alexander  ; Sirjacobs, Damien  et al.
2012 • In Ocean Modelling, 52-53, p. 90-101
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Keywords :
Diva; Climatology; Seadatanet; Interpolation; Salinity; Mediterranean Sea
Abstract :
[en] The Data Interpolating Variational Analysis (Diva) is a method designed to interpolate irregularly-spaced, noisy data onto any desired location, in most cases on regular grids. It is the combination of a particular methodology, based on the minimisation of a cost function, and a numerically efficient method, based on a finite-element solver. The cost function penalises the misfit between the observations and the reconstructed field, as well as the regularity or smoothness of the field. The intrinsic advantages of the method are its natural way to take into account topographic and dynamic constraints (coasts, advection, . . . ) and its capacity to handle large data sets, frequently encountered in oceanography. The method provides gridded fields in two dimensions, usually in horizontal layers. Three-dimension fields are obtained by stacking horizontal layers. In the present work, we summarize the background of the method and describe the possible methods to compute the error field associated to the analysis. In particular, we present new developments leading to a more consistent error estimation, by determining numerically the real covariance function in Diva, which is never formulated explicitly, contrarily to Optimal Interpolation. The real covariance function is obtained by two concurrent executions of Diva, the first providing the covariance for the second. With this improvement, the error field is now perfectly consistent with the inherent background covariance in all cases. A two-dimension application using salinity measurements in the Mediterranean Sea is presented. Applied on these measurements, Optimal Interpolation and Diva provided very similar gridded fields (correlation: 98.6%, RMS of the difference: 0.02). The method using the real covariance produces an error field similar to the one of OI, except in the coastal areas.
Research center :
MARE - Centre Interfacultaire de Recherches en Océanologie - ULiège
Disciplines :
Earth sciences & physical geography
Author, co-author :
Troupin, Charles ;  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) > GeoHydrodynamics and Environment Research (GHER)
Sirjacobs, Damien ;  Université de Liège - ULiège > Département des sciences de la vie > Phylogénomique des eucaryotes
Ouberdous, Mohamed ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > GeoHydrodynamics and Environment Research (GHER)
Brankart, Jean-Michel
Brasseur, Pierre
Rixen, Michel
Alvera Azcarate, Aïda ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > GeoHydrodynamics and Environment Research (GHER)
Belounis, Mahdia
Capet, Arthur  ;  Université de Liège - ULiège > Département de Biologie, Ecologie et Evolution > Océanologie
Lenartz, Fabian
Toussaint, Marie-Eve
Beckers, Jean-Marie  ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > GeoHydrodynamics and Environment Research (GHER)
More authors (3 more) Less
Language :
English
Title :
Generation of analysis and consistent error fields using the Data Interpolating Variational Analysis (Diva)
Alternative titles :
[fr] Generation de champs d'analyse et d'erreur cohérents à l'aide de l'Interpolation de Données par Analyse Variationelle (Diva)
Publication date :
August 2012
Journal title :
Ocean Modelling
ISSN :
1463-5003
eISSN :
1463-5011
Publisher :
Elsevier Science, Oxford, United Kingdom
Volume :
52-53
Pages :
90-101
Peer reviewed :
Peer Reviewed verified by ORBi
European Projects :
FP7 - 283607 - SEADATANET II - SeaDataNet II: Pan-European infrastructure for ocean and marine data management
Name of the research project :
Seadatanet2
Funders :
UE - Union Européenne
CE - Commission Européenne

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