Fig. S12. Results of multi-variate regression using
time-differenced GRACE WAIS basin data . Panel a shows the
time-differenced GRACE data and the SAM and ENSO components of the model
fit to it (Equation 3). Panel b shows the GRACE data with the
cumulative sum of the SAM and ENSO model components, and the residual
after removing the SAM and ENSO components of the model. Panelc compares the time-integrated SAM+ENSO model with that
estimated using unmodified (undifferenced) GRACE data (as in Fig. 3).
The shaded regions are the 1-sigma uncertainty of the respective models.
Table S1 . Regression parameter estimates with their 2-sigma
uncertainties. Also shown are the contributions to the trends from
Marshall SAMΣ and Niño3.4Σ and the
contribution to the trends from the ICE6G_D and Caron et al. 2018 GIA
models. The SAMΣ and Niño3.4Σcoefficients are d and e , respectively. The percentage of
the trend bunivariate due to SAM and ENSO,
reported in the text, is calculated by 100*(bunivariate -bmultivariate )/bunivariate.The sum of the basin regression estimates for each of the ice sheets is
also shown.