It's still qualitative however, and getting a better handle on the question
requires radiative transfer modeling and simulations that can adequately handle a greenhouse - free atmosphere without blowing up.
Not exact matches
As I discussed in # 333,
requiring a warmer lower part of the atmosphere, on warming further and emitting more IR, to cause a cooler part receiving the excess IR to cool further, violates
radiative transfer principles and / or the Second Law.
Precise attribution is difficult because there is significant overlapping absorption with varying degrees of saturation, and there is the need to take into account the vertical structure and time - spatial distribution of absorbers,
requiring a good climate GCM with good
radiative transfer.
My understanding is that the issue over the theory of CO2 forcing is not disagreement over
radiative energy transport but 1) The additional forcing
required to make
radiative forcing a potential crisis and 2) the lack of consideration of convective heat
transfer.
Solving the
radiative transfer equations through the atmosphere
requires knowledge of the absorption spectra of each gas.