## A Simple Stochastic Energy Balance Model

#### Michael Knap and Taylor Baldwin

#### December 5, 2013

To read how this model works, go

here! In brief, it's a climate model based on this stochastic differential equation:

\( C dT=\left(-A-BT+Q(t)c(T(t))\right)dt + \sigma dW(t) \)

where

\( Q(t) = Q_{\mathrm{base}} + X\sin{(t/\tau)} \), with \( Q_{\mathrm{base}} = 415.5 \), \( X = 2.0 \), and \( \tau = 5 \) years.

Slide the sliders and see what happens! For a version with more bells and whistles, go here.