The ratio ɛ = H / L between vertical extent H of the lower troposphere and the horizontal scale L of the region of precipitation (Fig. 1) enters because of the balance of the horizontal advective heat transport and the vertical fluxes of net radiative influx R and precipitation P. (pnas.org)
In contrast, increases in the Sun's output would warm both the troposphere and the full vertical extent of the stratosphere. (royalsociety.org)