EOF Calculations and Data Filling from Incomplete Oceanographic Datasets

By Jean-Marie Beckers, Michel Rixen. 2003

601 citations recorded by the source corpus.

Subfields: Applied Mathematics, Oceanography

View Paper: https://www.semanticscholar.org/paper/2b266061d820b7670384845819c6f6707f2f8fda

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In Applied Mathematics

In Oceanography

Citations in the corpus

Long-term prediction of polar motion using a combined SSA and ARMA model (2018, methodology): “The SSA method can extract accurate principal component information from an incomplete sequence and then determine a suitable data interpolation model (Schoellhamer 2001; Beckers and Rixen 2003).”
Reconstruction of satellite chlorophyll-a data using a modified DINEOF method: a case study in the Bohai and Yellow seas, China (2014, methodology): “…& Francis Compared to other interpolating methods, the DINEOF method is a self-consistent, parameter-free technique for reconstruction of gappy data, is computationally efficient, and presents the advantage of not requiring a priori information (Beckers and Rixen 2003; Alvera-Azcarate et al. 2005).”
Objectively mapping HF radar-derived surface current data using measured and idealized data covariance matrices (2007, background): “A popular approach involves projecting the observations on the dominant modes of the sample covariance matrix (EOFs) [Boyd et al., 1994; Beckers and Rixen, 2003; Alvera-Azcarate et al., 2005; Houseago-Stokes and Challenor, 2004].”
On the Sensitivity of Field Reconstruction and Prediction Using Empirical Orthogonal Functions Derived from Gappy Data (2013, methodology): “Since the variance of the dataset is contained in the trace of the covariance matrix C and subsequently equal to the sum of L, having negative values will mean that other EOFs ek will have higher lk than in reality; thus, overestimating their amplitude and the amount of explained variance contained ”
Reply to T. Schneider's comment on "Spatio-temporal filling of missing points in geophysical data sets" (2007, methodology): “For simplicity, we consider in this reply reconstruction based on spatial correlations only; our method is identical, in this case, to that of Beckers and Rixen (2003), while the emphasis in KG was on the use of purely temporal or mixed, spatio-temporal correlations.”
Efficient sensor placement for ocean measurements using low-dimensional concepts (2009, methodology): “POD-based reconstruction for oceanographic data was also developed independently by (Beckers and Rixen, 2003) and (Alvera-Azcárate et al.”