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#### Abstract

This is lecture 4 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.

It begins by summarizing various energy balance models, building in complexity toward Budyko's model. It examines equlibrium temperature profiles for Budyko's equation, then relaxes the assumption of a fixed ice line to consider ice line dynamics, ice-albedo feedback, the Budyko-Widiasih model, and the possibility of a snowball Earth.

#### Submitter

University of North Carolina at Chapel Hill Mathematics