Fig. 12: Reconstruction errors.
From: A fresh perspective on ENSO nonlinearity: the ENSO pattern continuum metric
a Observed SSTA flow \({T}^{{\prime} }=T-\overline{T}\), as a function of time and longitude. b\({T}_{12}^{{\prime} }\) the PCA truncation of \({T}^{{\prime} }\). c quantile-Smoothed SSTA flow \({T}_{qs}^{{\prime} }\). d Shifted Mean SSTA Flow \({\widetilde{T}}^{{\prime} }\). e Difference \({T}^{{\prime} }-{T}_{12}^{{\prime} }\) i.e., panels a, b. f Difference \({T}^{{\prime} }-{T}_{qs}^{{\prime} }\) i.e., panels a-c. g Difference \({T}^{{\prime} }-{\widetilde{T}}^{{\prime} }\) i.e., panels a-d. For panels e-g, we indicate the coefficient of determination r2 and RMSE in reconstructing the “true” flow \({T}^{{\prime} }\) (r2 = 1, RMSE = 0 for a perfect reconstruction).
