A New Nonparametric Method to Correct Model Data: Application to Significant Wave Height from the ERA-40 Re-Analysis

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Spatio‐temporal statistical modelling of significant wave height (2009, methodology): “Consequently Cov(X(0, 0), X(p, t)) = Cov(X 0 (0), ρ X 0 (p− vt)) = ρr(p − vt), and hence we have demonstrated that the field defined in (6) or (7) has the covariance function given in (5), since ρ(t) = ρ ≡ ρ( dt).”
100-Year Return Value Estimates for Ocean Wind Speed and Significant Wave Height from the ERA-40 Data (2005, methodology): “…by deficiencies of the ERA-40 Hs dataset, mainly by some overestimation of low wave heights and underestimation of high wave heights, Caires and Sterl (2005) produced a corrected version of it, the C-ERA40 dataset, using a nonparametric correction method based on nonparametric regression…”
Climatology, variability and extrema of ocean waves: the Web‐based KNMI/ERA‐40 wave atlas (2005, background): “The coefficient of the second North Atlantic EOF, which ex- plains 24% of the variability in that basin, has a correlation of about 0.8 with the North Atlantic Oscillation Index (NAO; see, e.g., Rogers 1984).”