The Arctic: Alaska, Canadian Archipelago, and Greenland

Below are the results continued from our paper Harig and Simons [2016], *Geophys. Res. Let.*, 2016. http://dx.doi.org/10.1002/2016GL067759. As of the most recent update January 2016 here, these results use the Release level 5 UTCSR (http://www.csr.utexas.edu/grace/) data solutions from January 2003 up to and including February 2015.

In the latest trend estimate from our paper Antarctica as a whole has lost -92 Gigatons per year since the beginning of 2003 (Fig 1, panel e). We also estimate mass changes for smaller regions within Antarctica (panels a-d), the most dramatic of these being West Antarctica which has lost -121 Gigatons per year of ice mass and has been strongly accelerating.

Figure 1: Map of the total ice mass change [mass corrected using the GIA model by Paulson et al., 2007] for the regions (black dashed lines) around a) Greenland and b) Gulf of Alaska. Coastlines are shown in light grey. Glaciated regions, as determined from the Randolph Glacier Inventory (RGI) version 3.2, are outlined in dark grey.
For more technical details please see the Methods/Code webpage.

Figure 2: Slepian eigenfunctions that are optimally concentrated
within regions (grouped by row) outlining a) Ellesmere Island, b)
Baffin Island, c) Gulf of Alaska North, and d) Gulf of Alaska
South. Dashed lines indicate the regions of concentration. Functions
are bandlimited to L=60 and are scaled to unit magnitude. The
parameter alpha denotes which eigenfunction is shown. The parameter
lambda is the corresponding eigenvalue for each function, indicating
the amount of concentration. Magnitude values whose absolute values
are smaller than 0.01 are left white. For more technical details
please see the Methods/Code webpage.

Figure 3: Ice mass changes [mass corrected using the GIA model by
Paulson et al., 2007] in gigatons (Gt) for a) North and b) South
regions of the Gulf of Alaska. The regions covered by each
localization are shaded in red in the top right inset. The black lines
are monthly GRACE observations with two sigma error bars determined
from our analysis. The solid blue lines are the best-fit estimates
including a quadratic curve and the periodic annual and semi-annual
terms. For each year in the analysis two numbers indicate the maximum
(top) and minimum (bottom) difference between the observations and the
fitted curves. For more technical details please see
the Methods/Code webpage.

Figure 4: Ice mass changes [mass corrected using the GIA model by
Paulson et al., 2007] in gigatons (Gt) for regions of a) Ellesmere
Island, b) Baffin Island, and c) Greenland. The regions covered by
each localization are shaded red in the top right inset. The black
lines are monthly GRACE observations with two sigma grey error bars
determined from our analysis. The solid blue lines are the best-fit
estimates including a quadratic curve and the periodic annual and
semi-annual terms. Estimates are fit using data prior to June 2013
(left of vertical grey lines), and then extrapolated forward through
2014 (right of vertical grey lines) to show the departure of recent
data from the long-term trends. For more technical details please see
the Methods/Code webpage.

Figure 5: Ice mass changes found after removing the long-term
trend and accelerations from the curves shows in Fig. 4, leaving only
the annual and semiannual components (blue lines) fitted from the data
(black lines). The regions covered by each localization for a)
Ellesmere, b) Baffin, and c) Greenland are shaded red in the
insert. As in Fig. 4, estimates are fit using data prior to June 2013
(left of vertical grey lines), and then extrapolated forward through
2014 (right of vertical grey lines) to show the departure of recent
data from the long-term trends. The grey bands around the blue lines
represent the two sigma confidence intervals for the prediction of new
data points. Yearly numbers indicate the maximum (top) and minimum
(bottom) difference between the observations and the fitted
curves. For more technical details please see
the Methods/Code webpage.

References (see also Publications)

Harig, Christopher and Frederik J. Simons. Ice mass loss in
Greenland, the Gulf of Alaska, and the Canadian Archipelago: Seasonal
cycles and decadal trends. *Geophys. Res. Let.*, 2016. http://dx.doi.org/10.1002/2016GL067759