Form of Climate Sensitivity including rainfall.

The standard climate sensetivity calculation (See note 2), is depends on T^3. but by Stefan Boltzmann law, but so does the radiation absorbed by any greenhouse gas. This leads to some people worrying about climate runaway boiling off the ocean. But any temperature increase lead to increased rainfall. Wikipedia quotes the sensitivity as about 1 Degree C per (Watt per square meter)). The 80inch of rainfall per year at the equator is equivalent to around 140 W per square meter going into latent heat (and then radiated above the lower atomosphere). Every 1 degree increase in temperature increases rainfall by 7% . So the climate sensitivity formule is of the form.

Where E_rf is the energy of evapouration of the water returned as rainfall per square meter. Due to the exponiential in temperature, the climate sensitivity rapidly decreases as the temperature increases and will never lead to thermal runaway. It remains to measure the current rainfall by latitude and compute the average over the earth. Which I will post later. If the entire rainfall was at the 80 inch per year, equator level climate would be reduce by a factor of 21, so this is a very significant effect, that greatly lessens the results of emissions of CO2.