  We present here formal evidence of a strong linkage between temperature and
East Antarctic ice accumulation over the past eight hundred kiloyears, after
accounting for thinning. The conclusions are based on statistical analysis of a
proposed empirical model based on ice core data from multiple locations with
ground topography ranging from local peaks to local valleys. The method permits
adjustment of the apparent accumulation rate for a very general thinning
process of ice sheet over the ages, is robust to any misspecification of the
age scale, and does not require delineation of the accumulation rate from
thinning. Records show 5% to 8% increase in the accumulation rate for every
1${}^\circ$C rise in temperature. This is consistent with the theoretical
expectation on the average rate of increase in moisture absorption capacity of
the atmosphere with rise in temperature, as inferred from the
Clausius-Clapeyron equation. This finding reinforces indications of the
resilience of the Antarctic Ice Sheet to the effects of warming induced by
climate change, which have been documented in other studies based on recent
data. Analysis of the thinning pattern of ice revealed an exponential rate of
thinning over several glacial cycles and eventual attainment of a saturation
level.
