"The simplest assumption possible"
Here it is a very interesting article, which is based on the mistaken assumption that the Stefan-Boltzmann emission Law can be applied for the estimation of the irradiated surface's temperature.
Here it is the interested us abstract:
"The thickening of the blanket has added 3 Wm-2 to the IR energy to the planet. In response, the planet will warm and radiate this energy to restore the energy balance between the net solar energy flowing in and the infrared energy flowing out.
We will begin this discussion by making the
simplest assumption possible, which is that the surface and the atmosphere behave like Max Planck’s black body, in which case it will radiate energy to space as a black body, which is given by σT4 , where σ is a fundamental constant derived by Max Planck and T4 denotes the fourth power of temperature T.
Based on this law, the surface and the atmosphere will radiate
3.3 Wm-2 per 1°C of warming. In other words, the planet can get rid of 3.3 Wm-2 for every degree warming. So to get rid of the 3 Wm-2 energy trapped by manmade greenhouse gases, the planet will warm by (3/3.3=) 0.9°C.
16_RAMANATHAN (cmyk)_PP_230-241.QXD_Layout 1 15/12/15 10:27 Pagina 235
236 Complexity and Analogy in Science: Theoretical, Methodological and Epistemological Aspects
"simplest assumption possible, which is that the surface and the atmosphere behave like Max Planck’s black body, in which case it will radiate energy
to space as a black body"
A planet surface in radiative equilibrium with the sun has NOT any resemblance with the radiative equilibrium in the cavity with a small hole.
The planet average surface temperature (Tmean) is not a blackbody’s temperature.
Planet does not have a blackbody temperature, because planet has not a uniform temperature, and because planet is not a blackbody.