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What mostly matters is the difference between emission and absorption (and convection), and for this quantity, the lapse rate and the tropopause are very important.— The Reference Frame
This does not contribute a negative radiative forcing at the tropopause, of course, because at such wavelengths, the tropopause level radiative forcing simply approaches zero as the source region for radiation in either direction becomes concentrated closer to the tropopause and thus has less temperature variation from one side to the other.— RealClimate
The warming of the troposphere increases upward LW radiation at the tropopause (although this and other things will be affected by changes in the tropopause height), some of that is absorbed in the stratosphere, thus warming the stratosphere; some portion of which causes an additional downward LW radiative flux at the tropopause, etc, enhancing the warming of both a bit more.— RealClimate
As opacity increases, eventually it becomes saturated with respect to tropopause level forcing - the source of emission of LW radiation reaching the tropopause from below is concentrated more and more toward the tropopause, and thus occurs across a smaller temperature variation, and the radiative forcing can only occur when there is temperature variation across a shift in source of radiation.— RealClimate
Of course, climatic responses involve changes in tropopause height … Anyway, with respect to the tropopause-level radiative forcing,— RealClimate

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