Fig. 3. Non-linear ice-sheet mass change . Time series of mass change after the subtraction of the linear and periodic terms from the multiple linear regression for each of AIS, APIS, EAIS and WAIS (crosses with 95% confidence interval). The SAMΣ and Niño3.4Σ components of the model are shown separately and as a sum (lines). The shaded area shows the 95% confidence interval for the sum of the SAMΣ and Niño3.4Σterms. In-figure text shows the percentages of the partial variance explained (R2) by SAMΣ, Niño3.4Σ or both terms for the GRACE time series (see Methods).