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The back radiation looks to be calculated by summing all radiation components that the atmosphere (including clouds) absorbs and then subtracting the radiation it emits upwards. What remains is the radiation it emits downwards (i.e. back radiation). In the figure it is indeed: $$ (67\ \mathrm{Wm^{-2}} + 24\ \mathrm{Wm^{-2}} + 78\ \mathrm{Wm^{-2}} + 350\ \...


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