  We develop a three-timescale framework for modelling climate change and
introduce a space-heterogeneous one-dimensional energy balance model. This
model, addressing temperature fluctuations from rising carbon dioxide levels
and the super-greenhouse effect in tropical regions, fits within the setting of
stochastic reaction-diffusion equations. Our results show how both mean and
variance of temperature increase, without the system going through a
bifurcation point. This study aims to advance the conceptual understanding of
the extreme weather events frequency increase due to climate change.
