
Dr. Richard Lindzen writes to me with news of this significant new paper saying “It has taken almost 2 years to get this out. “. Part of that problem appears to be hostile reviewers in earlier submissions to JGR, something we’ve seen recently with other skeptical papers, such as O’Donnell’s rebuttal to Steig et al (Antarctica is warming) where Steig himself inappropriately served as a reviewer, and a hostile one at that.
Hostile reviewers aside, the paper will now be published in an upcoming issue of the Asia-Pacific Journal of Atmospheric Sciences and I am honored to be able to be able to present it here. The authors state that:
“We have corrected the approach of Lindzen and Choi (2009), based on all the criticisms made of the earlier work (Chung et al., 2010; Murphy, 2010; Trenberth et al., 2010).”
…
The present paper responds to the criticism, and corrects the earlier approach where appropriate. The earlier results are not significantly altered, and we show why these results differ from what others like Trenberth et al. (2010), and Dessler (2010) obtain.
So, while that may satisfy some critics, given the hostility shown to the idea that there is a low sensitivity to forcings, I’m sure a whole new crop of critics will spring up for this paper. The response to this paper in AGW proponent circles, like the feedback posited for Earth’s climate system, will surely be negative. Let the games begin.
Some highlights:
However, warming from a doubling of CO2 would only be about 1°C (based on simple calculations where the radiation altitude and the Planck temperature depend on wavelength in accordance with the attenuation coefficients of wellmixed CO2 molecules; a doubling of any concentration in ppmv produces the same warming because of the logarithmic dependence of CO2’s absorption on the amount of CO2) (IPCC, 2007).
…
This modest warming is much less than current climate models suggest for a doubling of CO2. Models predict warming of from 1.5°C to 5°C and even more for a doubling of CO2
…
As a result, the climate sensitivity for a doubling of CO2 is estimated to be 0.7 K (with the confidence interval 0.5K – 1.3 K at 99% levels). This observational result shows that model sensitivities indicated by the IPCC AR4 are likely greater than than the possibilities estimated from the observations.
…
Our analysis of the data only demands relative instrumental stability over short periods, and is largely independent of long term drift.
Willis Eschenbach will no doubt find some interesting things in this paper, as it speaks of some of the same regulation mechanisms in the tropics as Willis has opined on here at WUWT. Here’s the Abstract and Conclusion, a link to the full paper follows:
==============================================================
On the Observational Determination of Climate Sensitivity and Its Implications
Richard S. Lindzen1 and Yong-Sang Choi2
1Program in Atmospheres, Oceans, and Climate, Massachusetts Institute of Technology, Cambridge, U. S. A.
2Department of Environmental Science and Engineering, Ewha Womans University, Seoul, Korea
Asia-Pacific J. Atmos. Sci., 47(4), 377-390, 2011 DOI:10.1007/s13143-011-0023-x
Abstract:
We estimate climate sensitivity from observations, using the deseasonalized fluctuations in sea surface temperatures (SSTs) and the concurrent fluctuations in the top-of-atmosphere (TOA) outgoing radiation from the ERBE (1985-1999) and CERES (2000-2008) satellite instruments. Distinct periods of warming and cooling in the SSTs were used to evaluate feedbacks. An earlier study (Lindzen and Choi, 2009) was subject to significant criticisms. The present paper is an expansion of the earlier paper where the various criticisms are taken into account. The present analysis accounts for the 72 day precession period for the ERBE satellite in a more appropriate manner than in the earlier paper. We develop a method to distinguish noise in the outgoing radiation as well as radiation changes that are forcing SST changes from those radiation changes that constitute feedbacks to changes in SST. We demonstrate that our new method does moderately well in distinguishing positive from negative feedbacks and in quantifying negative feedbacks. In contrast, we show that simple regression methods used by several existing papers generally exaggerate positive feedbacks and even show positive feedbacks when actual feedbacks are negative. We argue that feedbacks are largely concentrated in the tropics, and the tropical feedbacks can be adjusted to account for their impact on the globe as a whole. Indeed, we show that including all CERES data (not just from the tropics) leads to results similar to what are obtained for the tropics alone – though with more noise. We again find that the outgoing radiation resulting from SST fluctuations exceeds the zerofeedback response thus implying negative feedback. In contrast to
this, the calculated TOA outgoing radiation fluxes from 11 atmospheric models forced by the observed SST are less than the zerofeedback response, consistent with the positive feedbacks that characterize these models. The results imply that the models are
exaggerating climate sensitivity.
Conclusion:
We have corrected the approach of Lindzen and Choi (2009), based on all the criticisms made of the earlier work (Chung et al., 2010; Murphy, 2010; Trenberth et al., 2010). First of all, to improve the statistical significance of the results, we supplemented ERBE data with CERES data, filtered out data noise with 3-month smoothing, objectively chose the intervals based on the smoothed data, and provided confidence intervals for all sensitivity estimates. These constraints helped us to more accurately obtain climate feedback factors than with the original use of monthly data. Next, our new formulas for climate feedback
and sensitivity reflect sharing of tropical feedback with the globe, so that the tropical region is now properly identified as an open system. Last, the feedback factors inferred from the atmospheric models are more consistent with IPCC-defined climate sensitivity
than those from the coupled models. This is because, in the presence of cloud-induced radiative changes altering SST, the climate feedback estimates by the present approach tends to be inaccurate. With all corrections, the conclusion still appears to be
that all current models seem to exaggerate climate sensitivity (some greatly). Moreover, we have shown why studies using simple regressions of ΔFlux on ΔSST serve poorly to determine feedbacks.
To respond to the criticism of our emphasis on the tropical domain (Murphy, 2010; Trenberth et al., 2010), we analyzed the complete record of CERES for the globe (Dessler, 2010) (Note that ERBE data is not available for the high latitudes since the field-of-view is between 60oS and 60oN). As seen in the previous section, the use of the global CERES record leads to a result that is basically similar to that from the tropical data in this
study. The global CERES record, however, contains more noise than the tropical record.
This result lends support to the argument that the water vapor feedback is primarily restricted to the tropics, and there are reasons to suppose that this is also the case for cloud feedbacks. Although, in principle, climate feedbacks may arise from any
latitude, there are substantive reasons for supposing that they are, indeed, concentrated mostly in the tropics. The most prominent model feedback is that due to water vapor, where it is commonly noted that models behave roughly as though relative humidity
were fixed. Pierrehumbert (2009) examined outgoing radiation as a function of surface temperature theoretically for atmospheres with constant relative humidity. His results are shown in Fig. 13.

Specific humidity is low in the extratropics, while it is high in the tropics. We see that for extratropical conditions, outgoing radiation closely approximates the Planck black body radiation (leading to small feedback). However, for tropical conditions, increases in outgoing radiation are suppressed, implying substantial positive feedback. There are also reasons to suppose that cloud feedbacks are largely confined to the tropics. In the
extratropics, clouds are mostly stratiform clouds that are associated with ascending air while descending regions are cloudfree. Ascent and descent are largely determined by the large scale wave motions that dominate the meteorology of the extratropics, and for these waves, we expect approximately 50% cloud cover regardless of temperature (though details may depend on temperature). On the other hand, in the tropics, upper level clouds, at least, are mostly determined by detrainment from cumulonimbus towers, and cloud coverage is observed to depend significantly on temperature (Rondanelli and Lindzen, 2008).
As noted by LCH01, with feedbacks restricted to the tropics, their contribution to global sensitivity results from sharing the feedback fluxes with the extratropics. This led to inclusion of the sharing factor c in Eq. (6). The choice of a larger factor c leads to
a smaller contribution of tropical feedback to global sensitivity, but the effect on the climate sensitivity estimated from the observation is minor. For example, with c = 3, climate sensitivity from the observation and the models is 0.8 K and a higher value
(between 1.3 K and 6.4 K), respectively. With c = 1.5, global equilibrium sensitivity from the observation and the models is 0.6 K and any value higher than 1.6 K, respectively. Note that, as in LCH01, we are not discounting the possibility of feedbacks in the extratropics, but rather we are focusing on the tropical contribution to global feedbacks. Note that, when the dynamical heat transports toward the extratropics are taken into account, the overestimation of tropical feedback by GCMs may lead to even greater overestimation of climate sensitivity (Bates, 2011).
This emphasizes the importance of the tropical domain itself. Our analysis of the data only demands relative instrumental stability over short periods, and is largely independent of long term drift. Concerning the different sampling from the ERBE and CERES instruments, Murphy et al. (2009) repeated the Forster and Gregory (2006) analysis for the CERES and found very different values than those from the ERBE. However, in this
study, the addition of CERES data to the ERBE data does little to change the results for ΔFlux/ΔSST – except that its value is raised a little (as is also true when only CERES data is used.). This may be because these previous simple regression approaches include
the distortion of feedback processes by equilibration. In distinguishing a precise feedback from the data, the simple regression method is dependent on the data period, while our method is not. The simple regression result in Fig. 7 is worse if the model
integration time is longer (probably due to the greater impact of increasing radiative forcing).
Our study also suggests that, in current coupled atmosphereocean models, the atmosphere and ocean are too weakly coupled since thermal coupling is inversely proportional to sensitivity (Lindzen and Giannitsis, 1998). It has been noted by Newman et al. (2009) that coupling is crucial to the simulation of phenomena like El Niño. Thus, corrections of the sensitivity of current climate models might well improve the behavior of coupled
models, and should be encouraged. It should be noted that there have been independent tests that also suggest sensitivities less than predicted by current models. These tests are based on the response to sequences of volcanic eruptions (Lindzen and Giannitsis, 1998), on the vertical structure of observed versus modeled temperature increase (Douglass, 2007; Lindzen, 2007), on ocean heating (Schwartz, 2007; Schwartz, 2008), and on
satellite observations (Spencer and Braswell, 2010). Most claims of greater sensitivity are based on the models that we have just shown can be highly misleading on this matter. There have also been attempts to infer sensitivity from paleoclimate data (Hansen
et al., 1993), but these are not really tests since the forcing is essentially unknown given major uncertainties in clouds, dust loading and other factors. Finally, we have shown that the attempts to obtain feedbacks from simple regressions of satellite measured outgoing radiation on SST are inappropriate.
One final point needs to be made. Low sensitivity of global mean temperature anomaly to global scale forcing does not imply that major climate change cannot occur. The earth has, of course, experienced major cool periods such as those associated with ice ages and warm periods such as the Eocene (Crowley and North, 1991). As noted, however, in Lindzen (1993), these episodes were primarily associated with changes in the equatorto-
pole temperature difference and spatially heterogeneous forcing. Changes in global mean temperature were simply the residue of such changes and not the cause.
==============================================================
Dr. Lindzen has the full paper on his personal website here:
http://www-eaps.mit.edu/faculty/lindzen/236-Lindzen-Choi-2011.pdf
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I argue that the control mechanisms, not feedbacks but homeostatic control mechanisms, are largely concentrated in the tropics. Not only that, but I can tell you why they are there. In any heat engine, the first and main control mechanism is the throttle. It controls the incoming fuel/energy entering the hot end of the heat engine.
For the heat engine we call the earths climate, the hot end of the heat engine is the tropics. Controlling the polar albedo would do little to control the global temperature. Controlling the tropical albedo, on the other hand, is the major throttling mechanism for reducing solar energy entering the system.
The throttle is in the tropics because that’s where the energy enters the system, at the hot end of the heat engine.
_____
Willis,
I think this notion of a “throttle” in the tropical cloud cycle is a valid one for diurnal effects, but lacks the larger system feedbacks that the climate clearly displays, and especially as displayed in the Polar Amplification of general global warming. Amplification involves feedbacks, positive ones of multiple types. To suggest this isn’t occurring is to deny what many research studies have shown.
I am somewhat astounded, that in such a crucial and fundamental expression: delta Forcing = 5.35*ln(ending CO2/starting CO2) the derivative explanations of 6.33/5.35, is unknown (by us), with any certainty.
Is this purely ignorance on our part or has it’s provenance truly been withheld? How can any argument employ this expression with-out knowing exactly how it was or wasn’t derived.
Someone can surely put this matter to rest, conclusively. Has this not come up before? GK
John Finn says:
Just to reinforce the main point here. It is not the actual forcing, i.e. 3.7 w/m2 per 2xCO2, which is in dispute, it is the temperature response (i.e. climate sensitivity) to that forcing.
Henry@John
I am – and I have been – disputing exactly that very 3.7W/m2 per 2 CO2… There is no scientific basis for that result except that it has been derived in hindsight (from observed global warming versus increases in GHG’s) by people believing Arrhenius and Tyndall were right. But they were wrong. So this whole paper is also wrong. Because it starts off by assuming this figure is right.
http://www.letterdash.com/HenryP/the-greenhouse-effect-and-the-principle-of-re-radiation-11-Aug-2011
If you took the trouble (like me) to actually take a random sample of 15 terrestial stations and carefully look at the results of the temperatures (including maxima and minima) over the years you would have to conclude:
http://www.letterdash.com/HenryP/henrys-pool-table-on-global-warming
1) SH is not warming al all but the NH is, even though maxima are increasing at the same rate, globally. How can that be? It proves that CO2 has nothing to do with the warming (because CO2 has the same concentration everywhere)
2) It is cooling where there is much de-forestation (Argentina) and it is warming where there is much forestation (Norway). SH does not have much land mass but NH has.
We have comprehensive proof of much increased vegetation over the years, especially in the NH.
Taken together, these results clearly suggest (and I challenge all of you to check this):
the observed “global” warming (which is not global at all) is due to increased vegetation.
the only other argument you could bring against this conclusion is some effect from urban heat and removal of snow by man, during winters, but I think those effects are too little to make much of a difference.
“. . . especially as displayed in the Polar Amplification of general global warming.È
Funny how the Alarmists always forget there are TWO poles on the planet!
Jose Suro says:
August 18, 2011 at 6:36 am
Brilliant analogy!
The discussion on this post about the new article by Lindzen and Choi reveals the very best about the role of scepticism in science. Sceptics have achieved critical mass. Anyone who doubts that WUWT is the scientifically focused sceptic blog will undergo a change of mind after reading this post and comments. Congratulations!
HenryP says:
August 18, 2011 at 7:32 am
John Finn says:
Just to reinforce the main point here. It is not the actual forcing, i.e. 3.7 w/m2 per 2xCO2, which is in dispute, it is the temperature response (i.e. climate sensitivity) to that forcing.
Henry@John
I am – and I have been – disputing exactly that very 3.7W/m2 per 2 CO2… There is no scientific basis for that result except that it has been derived in hindsight (from observed global warming versus increases in GHG’s) by people believing Arrhenius and Tyndall were right. But they were wrong. So this whole paper is also wrong. Because it starts off by assuming this figure is right.
The 3.7 w/m2 doesn’t come from Arrhenuis or Tyndall. It comes from the line by line calculations using radiative transfer equations. These equations use the basic physics of Beer Lambert and Planck and have been validated by observations.
The accumulation of CO2 in the atmosphere increases the average height at which energy is emitted to space. This means energy is emitted from a colder region which, in turn, means the energy emitted is reduced (Stefan-Boltzmann Law). We then have an imbalance between incoming solar energy and outgoing LW energy, i.e. incoming > outgoing, and so the earth warms until equilibrium is established.
Please don’t tell us that back radiation is not possible. This is clearly nonsense. We can see from emission spectra that CO2 radiates energy from the drier, colder layers of the atmosphere. Are you saying it only radiates from one side?
RE : My post dated August 18, 2011 at 8:18 am
Apologies to Henry P who does not appear to be saying that back radiation is not possible. On his linked blog, he does, though, seem to be implying that absorption of solar energy by CO2 results in cooling which offsets the warming from the absorption of terrestrial radiation.
I hope I’ve got this right. I look forward to some calculations which measure this effect.
Jenn Oates says:
August 17, 2011 at 6:28 pm
I JUST talked about this today, in my discussion about the scientific method and how scientific illiteracy and bad science can lead to extremely damaging (not to mention expensive) social policy. I even recommended WUWT, putting the URL on the board for students who care to go beyond what they hear on CNN. I’m not even diplomatic any more–MY students at least will have heard what is really going on, and hopefully stop bringing me weekly science articles about AGW and how it’s going to ruin the planet.
Takes a lot to ruin a planet, turns out. 🙂
Hope you don’t teach in Kalifornia… This could get you fired… Hey, since I also have a science cred, I could get your job… But then I would get fired for doing the same thing!!! 🙂
Willis Eschenbach says:
August 17, 2011 at 11:41 pm
So the process continues. It’s early days, I’ve been a lone voice crying “thermostat” in the wilderness…
It makes a whole lot of sense to me, O’ Merciless One, and your persistent and ever more complete explaining of it reminds me a little of your “dirt devil”, finally fighting its way out into the open for people to at least see and behold before moving on further into the unknown.
But my related question is, given the mechanisms involved in the funtioning of the “thermostat”, why is it even necessary for CO2 to exist within this schema, and/or why would CO2 produce “ghg” effects much or even any more pronounced or drastic than water vapor already has or could, given the presence of a nearly infinite supply for it? I’ve been obsessing about my question, now for nigh onto 8 years!
[Independently from your schema, I think, that CO2 “residence time” argument makes no sense to me; nor does the idea that water vapor isn’t “well mixed”, especially since Climate Science relies upon water vapor for its apparently completely ad hoc boost to climate “sensitivity”.]
Thanks in advance for any comments, I’ve got to be out in the quasi-boondocks for a few days, darnit.
John Finn says:
August 18, 2011 at 8:18 am
HenryP says:
August 18, 2011 at 7:32 am
John Finn says:
Just to reinforce the main point here. It is not the actual forcing, i.e. 3.7 w/m2 per 2xCO2, which is in dispute, it is the temperature response (i.e. climate sensitivity) to that forcing.
….
The 3.7 w/m2 doesn’t come from Arrhenuis or Tyndall. It comes from the line by line calculations using radiative transfer equations. These equations use the basic physics of Beer Lambert and Planck and have been validated by observations.
The accumulation of CO2 in the atmosphere increases the average height at which energy is emitted to space. This means energy is emitted from a colder region which, in turn, means the energy emitted is reduced (Stefan-Boltzmann Law). We then have an imbalance between incoming solar energy and outgoing LW energy, i.e. incoming > outgoing, and so the earth warms until equilibrium is established.
Nice theory. Conventional CAGW theory. Which is useful for getting many billions in government money for government “science” projects so that government can control the economies and gather 1.3 trillion in additional taxes ….
But, you see, that “radiation increase” in the (cooler) upper atmosphere required to balance the “increased blanket” of increased CO2 levels has been very thoroughly measured (by satellites) and has NOT been found. It is not happening.
Which conventionally and very thoroughly invalidates that nice conventional CAGW theory, doesn’t it?
John Finn says
The 3.7 w/m2 doesn’t come from Arrhenuis or Tyndall. It comes from the line by line calculations using radiative transfer equations. These equations use the basic physics of Beer Lambert and Planck and have been validated by observations.
Henry@John
Yes, I do believe you are right on that point, but they only looked at the the part where earth emits predominantly. They never looked at any cooling effect caused by the CO2.
Most scientists I queried on this, (like Alley) did not even know or realize that CO2 also has near IR, IR and UV absorptions (by which we can identifiy it on other planets). They also gave a completely wrong account of how they thought “absorption” and subsequent heat entrapment works.
I also doubt the line by line analysis of spectra because it cannot possibly give me an actual result in W/m2. You cannot possibly “calculate” in W/m2 from spectra what you have never first measured. But correct me if you think I am wrong.
You also say:
I hope I’ve got this right. I look forward to some calculations which measure this effect.
Henry@John
You are joking, right?
I have been looking for those results for almost 2 years. I could not find them. So, I figured (rightly so, it appears, at least from where I am standing, after looking at all the balls on my own table) everybody can be completely wrong about the poor carbon dioxide.
If you think about it long enough, then water and carbon dioxide is like your mother and father.
So, never say anything wrong about your mother and father, OK?
http://www.letterdash.com/HenryP/more-carbon-dioxide-is-ok-ok
Septic Matthew dislikes Willis Eschenbach’s use of the term : ‘homeostatic mechanisms’
He states:-
“If you’d write “feedback mechanisms” instead of “homeostatic mechanisms” I’d say you were onto something. “Homeostatic” is more appropriate for biological organisms that have evolved by a process of random variation and natural selection”
I suggest that a pan of water on a stove top uses a ‘homeostatic mechanism’ to maintain its temperature, despite increase in heat input.
Temperature is not maintained in boiling water due to a “feedback mechanism”, indeed there are many homeostatic mechanisms that do not depend on feedback mechanisms, the impact of E=mV2 on maximal velocity comes to mind.
John Finn says “The 3.7 w/m2 doesn’t come from Arrhenuis or Tyndall. It comes from the line by line calculations using radiative transfer equations.”
The only problem according to Herman Harde (whose main work continues to be in German) is that if you use the latest HITRAN 2008 data you get a much smaller forcing than if you use the previous HITRAN data used in the alarmist warming models.
On the face of it (reading from the German) the HITRAN 2008 forcing is as much as 50% less than previous versions. Add to that the cooling effect of CO2 from evaporative transportation of energy up to the stratosphere where CO2 assisted emittance into space becomes significant, and there is no doubt that the simple facts which keeps getting quoted as “settled science” are way out.
R. Gates says:
August 18, 2011 at 7:29 am
R. Gates, I’d need much more information to move on those claims. “Amplification involves feedbacks, positive ones of multiple types. To suggest this isn’t occurring is to deny what many research studies have shown.” Sounds good, but without information, that means nothing. What research studies, what feedbacks, what amplification, what have the studies shown?
Thanks,
w.
JPeden says:
August 18, 2011 at 8:40 am
Me, I love the quasi-boondocks …
In any case, given the mechanisms involved in the thermostat, I don’t think that the known effects of GHGs make any difference to the temperature or the thermostat mechanism I propose.
Regarding CO2, please don’t mix up the residence time, and the time it takes for a pulse of CO2 to decay back to the starting point (half-life or e-folding time).
Regarding water vapor, it is most definitely not “well mixed” in the atmosphere.
w.
Bernie McCune says:
August 18, 2011 at 7:02 am
Once again thanks for the input Bernie. A bunch of guys who haven’t a clue what a NIP is are trying to discus them here:
http://www.globalwarmingskeptics.info/forums/thread-1369-post-9881.html#pid9881
Have a look. If you are interested we would very much like to hear about your experiences with these gadgets. You don’t have to join, if you wish to comment use the guest forum.
Matt says:
Whether or not there are details regarding the exact values for that formula, I don’t think that that is a significant point of contention for Linzen…
Perhaps you missed my latest comment that shows the conversion – per the IPCC – between forcing and temperature i.e. climate sensitivity here:
http://wattsupwiththat.com/2011/08/16/new-paper-from-lindzen-and-choi-implies-that-the-models-are-exaggerating-climate-sensitivity/#comment-722054
which shows the “IPCC formula” you claim Lindzen agrees with should have, based on Lindzen’s paper, a fudge factor of 1.2 instead of 5.35, in other words exaggerates the effect of CO2 by a factor of 4.4 times. Do you understand why you cannot therefore claim that Lindzen does not dispute the “IPCC formula?”
Also, still waiting on the reference you claim to have that the 5.35 fudge factor is actually based on direct measurements.
As always; I stand awestruck in the face of real scientists doing real science.
steven mosher says:
August 17, 2011 at 9:53 am
If Hansen is looking at the million year response, why do all of his press releases talk about temperatures over the next few decades?
Excuse me, but doesn’t that mean it is even more important, that we completely understand, how it was derived? If it works, we certainly want to know why? Don’t we? GK
Len Ornstein says:
August 17, 2011 at 12:34 pm
1) Not much sunshine falls on the poles.
2) There has been no observed trend indicating a loss of ice cover.
3) Seasonal observations show that when ice decreases, the extra water vapor causes clouds to increase.
Overall, the so called polar amplification does not exist.
One thing I find funny is that many of the people who demand that we cut our lifestyles NOW, in order to protect our children, have absolutely no problem with govt running up trillions in debt.
“So, a “consensus” is OK as long as it is critical of the mainstream consensus?”
A consensus is a poll of the state of current thinking. It is not, never has been, and never will be, proof of anything.
John W says:
August 17, 2011 at 5:32 pm
He was half right, in that CO2 growth rates sort of matched his prediction B.
He was half right, in that temperature change sort of matched prediction C.
So obviously, two half rights added together equals a whole right.
John Finn says:
August 18, 2011 at 8:28 am
RE : My post dated August 18, 2011 at 8:18 am
Apologies to Henry P who does not appear to be saying that back radiation is not possible. On his linked blog, he does, though, seem to be implying that absorption of solar energy by CO2 results in cooling which offsets the warming from the absorption of terrestrial radiation.
I hope I’ve got this right. I look forward to some calculations which measure this effect.
It’s more than just absorption of solar energy. It’s any energy that gets into the atmosphere from other sources than radiation. The more CO2, the more this energy is radiated to space. This is what I have been calling the “cooling effect” of CO2 for months. It’s nice to see that HenryP has been looking at this in more detail than I have.
If you accept the KT07 energy budget this total energy is about 1/2 of the energy radiated from the surface. So, the impact of this “cooling effect” could be 50% of the GHG “warming effect”. But, I suspect it may be even higher. In fact, it may completely negate the “warming effect” since it works in 3 dimensions vs. 2.