The net effect is for the Earth to have to heat up a little extra, thus producing a little more infrared so that at equilibrium the total amount of energy escaping is the same as the total amount of energy incident.
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Summing up further: do a Stefan-Boltzmann calculation with the combined Earth+atmosphere system. This _isn't_ changed by the GHGs. But then you can construct some simple model of atmospheric heating based on GHG absoption which lets you infer the ground temperature.
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And I totally buy that that will be determined by the concentration of GHGs, probably in quite an interesting way, possibly dependent quite a bit on the variation of density with altitude (not just overall concentration).
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Thanks again
@PESimeon - I'll want to work through the details, but it seems very likely you've pointed out the source of my confusion.
End of conversation
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