Creep instability, the runaway increase of temperature and deformation due to internal strain heating, is analysed with a very simple model of one-dimensional heat transfer to estimate the stability of the Antarctic and Greenland ice sheets. Derived stability maps indicate that for the assumed rheology both ice sheets are completely stable; however, the stability of the coastal region of Wilkes Land in Antarctica is only marginal and cannot be accurately determined because of uncertainties in the data, especially basal shear stress.

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