Lebedev ice-growth law 2026-10-14
Past exam of the mathematics course of the University of Cambridge 2009 iii Paper 77 3 a Solution Created 2026-10-03 Updated 2026-10-14
Invert the Lebedev ice-growth law to obtain the original accumulated freezing degree-days:The average cold over days is therefore approximately below the reference. Assuming the warmed days remain below the freezing-degree-day threshold, a increase removes degree-days. HenceThe estimated end-of-winter thickness falls by about m, or . This applies the same empirical growth law to the altered temperature forcing; it does not add changes in snow, winds or ocean heat.
Past exam of the mathematics course of the University of Cambridge 2009 iii Paper 77 3 i Solution 2026-10-14
Warmer air increases surface melt during the warm season, lengthens the melt season, and reduces the accumulated freezing degree-days available for winter growth. Enhanced downward heat transfer can therefore thin the cover even without extra ocean heat. It provides a broad thermodynamic influence on Arctic sea ice decline, while regional winds and cloud conditions determine part of the local response.