An improved method for estimating ice line for zonal energy balance climate models

Abstract

In this article we consider an energy balance climate model. For a given ice line, we use spectral method to derive an approximation of the solution. Then we propose a method to update the ice line and to derive an updated approximation of the solution. We compare the difference between the approximation with fixed ice line and the approximation with updated ice line by looking at the temperature profile at some specific locations and times. The significance of the method to update the ice line is that it is model free. Therefore, it can be used in other climate models.

Keywords

• Temperature profile
• climate change
• energy balance
• ice line
• spectral method