Volume/area scaling of glaciers and ice caps and their longitudinal profiles

Abstract

Empirical data on the volume/area scaling of glaciers and ice caps are compared with theoretical models of longitudinal glacier profiles. Ice caps are described well by theoretical solutions of the differential equations modeling longitudinal profiles, but glaciers for which the surface slope is approximated by the ice thickness divided by the length are not. A power-law profile recently derived analytically, reproduces exactly the thickness-length scaling, first predicted by scaling analysis for ice caps.

Keywords

• ice thickness
• longitudinal profiles of glaciers and ice caps
• volume/area scaling