Does the Greenhouse Gas CO2 cool the climate?

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Most would consider this an odd question and probably ignore it or just delete it. Not so fast, please, my friends! The answer to the question is important in understanding the puzzling ineffectiveness of the greenhouse gas (GHG) carbon dioxide (CO2) in warming the climate -- as seen in the 20th century record and as deduced from the existence of the widening gap between the model results based on rising CO2 and observations of atmospheric temperatures by both satellites and radiosondes [Fig. 1]
Fig. 1 –Model results vs. observations[i]

Note the growing “gap.”
“Greenhouse gas” only means that CO2 absorbs some infrared (IR) radiation; it does not guarantee climate warming.
In fact, the outcome depends mostly on atmospheric structure, measured by balloon-borne radiosondes. It is expressed by the so-called atmospheric lapse rate (ALR), defined as change in atmospheric temperature with altitude.[ii] [Note that "lapse rate" has nothing to do with back-sliding alcoholics and smokers.]
Physicists who have examined our counter-intuitive hypothesis, all agree with the science -- albeit somewhat reluctantly.  Such is the power of group-think that even experts, with some exception, find the idea that CO2 might cool the climate difficult to accept.

The ALR is generally negative in the troposphere[iii] as much as [minus] -6.5 degree C per km of altitude. [The troposphere is the lowest atmospheric layer, from zero up to about 50,000 foot altitude.]
ALR goes through zero in the tropopause region, the layer that separates the troposphere from the overlying stratosphere. The ALR turns positive in the stratosphere, just above [see schematic nearby.[iv]  [The warming of the stratosphere is produced by absorption of energy by stratospheric ozone.]
STRATOSPHERE ALR is positive Temperature increases with altitude
TROPOPAUSE ALR is zero Temperature is constant
TROPOSPHERE ALR is negative Temperature decreases with altitude
Fig. 2 Schematic of lower atmosphere
The key result
Adding a tiny increment of CO2 raises slightly the "effective" altitude for emitting Outgoing Long-wave (OLR), the Radiation (IR), going out to space from a CO2 molecule.
Because of the reversal in the atmospheric temperature structure, OLR is:
1. of lower energy than normal if the effective altitude remains in the troposphere; and
2.  a bit higher than normal if this effective altitude is in the stratosphere.
In case 2., the stratospheric CO2 emission "borrows" some energy from the surface emission -- hence "cooling" the surface.
Assumptions
It is incumbent upon the proponent of a controversial hypothesis to find potential weak points -- and list crucial assumptions. To be sure, critics will soon enough find many more.
  1. It seems safe to assume that CO2 molecules, excited and de-excited by collisions with more abundant nitrogen and oxygen molecules, emit at the temperature of the surrounding atmosphere.[v]
  2. We may also assume that CO2 is well mixed with altitude, as inter-hemispheric mixing is nearly perfect.
  3. But -- can we assume that energy balance is nearly perfect, even on very short time-scales? -- i.e. will OLR always exactly equal absorbed solar short-wave radiation? I think the answer is yes. The times involved are too short to permit energy to go into or come out of ice or ocean.
  4. Most important, are CO2 transitions strong enough to penetrate past the tropopause into the stratosphere? We can see evidence for this in the year-by-year increase of the amplitudes [near the center of the 15-micron CO2 absorption band. This increase comes about because the stratospheric ALR is positive. To verify and extend this observation, we may use data from the AIRS satellite instrument. (AIRS is a satellite-borne IR spectrometer with ultra-high resolution in wave length.)
Once confirmed, the hypothesis can furnish additional explanation for the observed absence of CO2 warming in the 20th century,[vi] and perhaps also for the cause of the puzzling observed warming pause (‘hiatus’)[vii] of at least the past two decades [Fig 1].
 A typical reaction
“That’s a very nice theory. And, I think I can follow your argument. But, where is the predicted cooling?”
One can think of three possible answers:
  1. First, the warming and cooling effects are very small; remember that the CO2 effect becomes logarithmicx, once CO2 concentration exceeds roughly 60 ppm (parts per million). [The concentration is now 400 ppm, 0.04%, and growing].
  2. Any cooling would be offset, at least partly, by molecular transitions that remain in the troposphere and cause climate warming in a conventional way.
  3. Finally, there is climate noise that would hide any small warming or cooling. Climate noise is produced both naturally and by human sources. For example, changes in the weather may change global cloudiness and therefore incoming absorbed solar energy.
 Conclusion
A greenhouse gas produces cooling of the climate when its molecular transitions are in a region of positive lapse rate. One example is CO2 and the stratosphere, where temperature increases with altitude. Another example is temperature over the winter poles [Happer – private communication; Flanner et al. GRL 2018].
While the climate cooling is not obvious, it counters [conventional] GH warming. This at- least-partial cancelation might explain the puzzling absence of CO2-based GH warming in the 20th century.[viii] It could also help explain the cause of the [hotly] contested climate ‘pause.’[ix]
Much further work awaits!
Acknowledgements
I am grateful to colleagues for helpful discussions of the assumptions.
This work was supported by SEPP, which solicits only private charitable donations.
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S. Fred Singer is professor emeritus at the University of Virginia and a founding director and now chairman emeritus of the Science & Environmental Policy Project; in 2014, after 25 years, he stepped down as president of SEPP. His specialty is atmospheric and space physics. An expert in remote sensing and satellites, he served as the founding director of the US Weather Satellite Service, now part of NOAA.  More recently, he served as vice chair of the US National Advisory Committee on Oceans & Atmosphere. He is an elected Fellow of several scientific societies, including APS, AGU, AAAS, AIAA, Sigma Xi, and Tau Beta Pi; and a Senior Fellow of the Heartland Institute and the Independent Institute. He co-authored the NY Times best-seller Unstoppable Global Warming: Every 1500 years. In 2007, he founded and has chaired the NIPCC (Nongovernmental International Panel on Climate Change), which has released several scientific reports [See NIPCCreport .org]. For recent writings, see http://www.americanthinker.com/s_fred_singer/ and also Google Scholar.
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