(the subscript “a” denotes change over the hydrological year under consideration), based on the
simulated mass balance summed over all the corresponding glaciated elevation bands or grid
cells. The total glaciated area, S1, and ice volume,
V1, at the beginning of the year are assumed
to be known, providing an estimate of the average ice thickness, h1 =
V1=S1. From the scaling
relationship (5
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