
NEW 4/10/09: There is an update to this post, see below the “read the rest of this entry” – Anthony
Guest Post by Richard Lindzen, PhD.
Alfred P. Sloan Professor of Meteorology, Department of Earth, Atmospheric and Planetary Science, MIT

This essay is from an email list that I subscribe to. Dr. Lindzen has sent this along as an addendum to his address made at ICCC 2009 in New York City. I present it here for consideration. – Anthony
The wavelength of visible light corresponds to the temperature of the sun’s surface (ca 6000oK). The wavelength of the heat radiation corresponds to the temperature of the earth’s atmosphere at the level from which the radiation is emitted (ca 255oK). When the earth is in equilibrium with the sun, the absorbed visible light is balanced by the emitted heat radiation.
The basic idea is that the atmosphere is roughly transparent to visible light, but, due to the presence of greenhouse substances like water vapor, clouds, and (to a much lesser extent) CO2 (which all absorb heat radiation, and hence inhibit the cooling emission), the earth is warmer than it would be in the absence of such gases.
The Perturbed Greenhouse
If one adds greenhouse gases to the atmosphere, one is adding to the ‘blanket’ that is inhibiting the emission of heat radiation (also commonly referred to as infrared radiation or long wave radiation). This causes the temperature of the earth to increase until equilibrium with the sun is reestablished.
For example, if one simply doubles the amount of CO2 in the atmosphere, the temperature increase is about 1°C.
If, however, water vapor and clouds respond to the increase in temperature in such a manner as to further enhance the ‘blanketing,’ then we have what is called a positive feedback, and the temperature needed to reestablish equilibrium will be increased. In the climate GCMs (General Circulation Models) referred to by the IPCC (the UN’s Intergovernmental Panel on Climate Change), this new temperature ranges from roughly 1.5°C to 5°C.
The equilibrium response to a doubling of CO2 (including the effects of feedbacks) is commonly referred to as the climate sensitivity.
Two Important Points
1. Equilibration takes time.
2. The feedbacks are responses to temperature – not to CO2 increases per se.
The time it takes depends primarily on the climate sensitivity, and the rapidity with which heat is transported down into the ocean. Both higher sensitivity and more rapid mixing lead to longer times. For the models referred to by the IPCC, this time is on the order of decades.
This all leads to a crucial observational test of feedbacks!
The Test: Preliminaries
Note that, in addition to any long term trends that may be present, temperature fluctuates on shorter time scales ranging from years to decades.
Such fluctuations are associated with the internal dynamics of the ocean- atmosphere system. Examples include the El Nino – Southern Oscillation, the Pacific Decadal Oscillation, etc.
These fluctuations must excite the feedback mechanisms that we have just described.
The Test
1. Run the models with the observed sea surface temperatures as boundary conditions.
2. Use the models to calculate the heat radiation emitted to space.
3. Use satellites to measure the heat radiation actually emitted by the earth.
When temperature fluctuations lead to warmer temperatures, emitted heat radiation should increase, but positive feedbacks should inhibit these emissions by virtue of the enhanced ‘blanketing.’ Given the model climate sensitivities, this ‘blanketing’ should typically reduce the emissions by a factor of about 2 or 3 from what one would see in the absence of feedbacks. If the satellite data confirms the calculated emissions, then this would constitute solid evidence that the model feedbacks are correct.
The Results of an Inadvertent Test

Above graph:
Comparison of the observed broadband LW and SW flux anomalies for the tropics with climate model simulations using observed SST records. The models are not given volcanic aerosols, so the should not expected to show the Mt. Pinatubo eruption effects in mid-1991 through mid-1993. The dashed line shows the mean of all five models, and the gray band shows the total rnage of model anomalies (maximum to minimum).
It is the topmost panel for long wave (LW) emission that we want.
Let us examine the top figure a bit more closely.
From 1985 until 1989 the models and observations are more or less the same – they have, in fact, been tuned to be so. However, with the warming after 1989, the observations characteristically exceed 7 times the model values. Recall that if the observations were only 2-3 times what the models produce, it would correspond to no feedback. What we see is much more than this – implying strong negative feedback. Note that the ups and downs of both the observations and the model (forced by observed sea surface temperature) follow the ups and downs of temperature (not shown).
Note that these results were sufficiently surprising that they were confirmed by at least 4 other groups:
Chen, J., B.E. Carlson, and A.D. Del Genio, 2002: Evidence for strengthening of the tropical general circulation in the 1990s. Science, 295, 838-841.
Cess, R.D. and P.M. Udelhofen, 2003: Climate change during 1985–1999: Cloud interactions determined from satellite measurements. Geophys. Res. Ltrs., 30, No. 1, 1019, doi:10.1029/2002GL016128.
Hatzidimitriou, D., I. Vardavas, K. G. Pavlakis, N. Hatzianastassiou, C. Matsoukas, and E. Drakakis (2004) On the decadal increase in the tropical mean outgoing longwave radiation for the period 1984–2000. Atmos. Chem. Phys., 4, 1419–1425.
Clement, A.C. and B. Soden (2005) The sensitivity of the tropical-mean radiation budget. J. Clim., 18, 3189-3203.
The preceding authors did not dwell on the profound implications of these results – they had not intended a test of model feedbacks! Rather, they mostly emphasized that the differences had to arise from cloud behavior (a well acknowledged weakness of current models). However, as noted by Chou and Lindzen (2005, Comments on “Examination of the Decadal Tropical Mean ERBS Nonscanner Radiation Data for the Iris Hypothesis”, J. Climate, 18, 2123-2127), the results imply a strong negative feedback regardless of what one attributes this to.
The Bottom Line
The earth’s climate (in contrast to the climate in current climate GCMs) is dominated by a strong net negative feedback. Climate sensitivity is on the order of 0.3°C, and such warming as may arise from increasing greenhouse gases will be indistinguishable from the fluctuations in climate that occur naturally from processes internal to the climate system itself.
An aside on Feedbacks
Here is an easily appreciated example of positive and negative feedback. In your car, the gas and brake pedals act as negative feedbacks to reduce speed when you are going too fast and increase it when you are going too slow. If someone were to reverse the position of the pedals without informing you, then they would act as positive feedbacks: increasing your speed when you are going too fast, and slowing you down when you are going too slow.
Alarming climate predictions depend critically on the fact that models have large positive feedbacks. The crucial question is whether nature actually behaves this way? The answer, as we have just seen, is unambiguously no.
UPDATE: There are some suggestions (in comments) that the graph has issues of orbital decay affecting the nonscanner instrument’s field of view. I’ve sent a request off to Dr. Lindzen for clarification. – Anthony
UPDATE2: While I have not yet heard from Dr. Lindzen (it has only been 3 hours as of this writing) commenter “wmanny” found this below, apparently written by Lindzen to address the issue:
“Recently, Wong et al (Wong, Wielicki et al, 2006, Reexamination of the Observed Decadal Variability of the Earth Radiation Budget Using Altitude-Corrected ERBE/ERBS Nonscanner WFOV Data, J. Clim., 19, 4028-4040) have reassessed their data to reduce the magnitude of the anomaly, but the remaining anomaly still represents a substantial negative feedback, and there is reason to question the new adjustments.”
I found the text above to match “wmanny’s” comment in a presentation given by Lindzen to Colgate University on 7/11/2008 which you can see here as a PDF:
http://portaldata.colgate.edu/imagegallerywww/3503/ImageGallery/LindzenLectureBeyondModels.pdf
– Anthony
UPDATE3: I received this email today (4/10) from Dr. Lindzen. My sincere thanks for his response.
Dear Anthony,
The paper was sent out for comments, and the comments (even those from “realclimate”) are appreciated. In fact, the reduction of the difference in OLR between the 80’s and 90’s due to orbital decay seems to me to be largely correct. However, the reduction in Wong, Wielicki et al (2006) of the difference in the spikes of OLR between observations and models cannot be attributed to orbital decay, and seem to me to be questionable. Nevertheless, the differences that remain still imply negative feedbacks. We are proceeding to redo the analysis of satellite data in order to better understand what went into these analyses. The matter of net differences between the 80’s and 90’s is an interesting question. Given enough time, the radiative balance is reestablished and the anomalies can be wiped out. The time it takes for this to happen depends on climate sensitivity with adjustments occurring more rapidly when sensitivity is less. However, for the spikes, the time scales are short enough to preclude adjustment except for very low sensitivity.
That said, it has become standard in climate science that data in contradiction to alarmism is inevitably ‘corrected’ to bring it closer to alarming models. None of us would argue that this data is perfect, and the corrections are often plausible. What is implausible is that the ‘corrections’ should always bring the data closer to models.
Best wishes,
Dick
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I think Prof Lindzen is winning, so far.
timetochooseagain (22:25:49) :
Yes- the changes in albedo resulting from the Milankovitch cycles are concentrated around the north pole. I’m not sure why that matters- are you implying that the extra 55 W/m2 of forcing comes from changes in atmospheric/ocean circulation?
Doh! That should be “homogeneous”-of course Milankovitch forcing is heterogeneous-I meant it is not homogeneous! Gah! How’d I miss that?
Chris V-OMG-there is no “extra” forcing, there doesn’t need to be. Milankovitch cycles alter horizontal heat fluxes, which in turn result in mean temperature changes provided the feedback in the tropics is strongly negative. Jeez!
http://eaps.mit.edu/faculty/lindzen/171nocephf.pdf
The only way you get away with claiming that an “extra” forcing is needed is by focusing on the small net radiation changes in the Global Mean Radiative forcing-but that kind of analysis is not appropriate for heterogeneous forcing like milankovitch cycles. You need to get out of your “Yes, but if we focus on the Global Mean…” mindset here or you will never understand the point I’m trying to make.
dhogaza (21:43:47) :
[snip – juvenile rant]
dhogaza (21:48:30) :
[snip – off topic, Don you don’t get to run this thread]
30 03 2009
dhogaza (21:57:27) :
[ snip – Let me make this clear, we are not going to talk about smoking and cancer on this thread, call me what you want, complain all you like here or to your buddies over at Tammy or RC, but it is not going to happen. If you have something to say about the science presented here you are welcome to say it. – Anthony]
Don,
This is an example of negative feedback…..
Chris V,
Solar irradiance at ground level is about 1000 W/sqm. Total solar irradiance in orbit is about 1,350 W/sqm. Anybody messing about with solar panels can tell you that.
Roger Knights (12:43:40) wrote: “I was parodying a typical Insister response///”
Think most of us picked that up right off, Roger. “/sarc” should not be necessary, and always seems somewhat juvenile to me. If sarcasm (or a joke) needs flagging, then it ain’t.
Steve G, Fred M and Lucy S.
Its very simple – the graphic in Lindzen’s article is from the 2002 paper in science. This paper was the subject of a comment and later correction. Chris Colose has usefully published the corrected graphic in his response, in which most if not all, of the model/obs mismatch is eliminated.
Either Prof Lindzen is unaware of the correction, which I find impossibly unlikely, or he has knowingly circulated incorrect information to support his case, an act that one might normally expect would attract severe opprobrium from the posters of an objective science blog such as this. Neither possibility does much for the pursuasiveness of his argument, in my view. Certainly if the Professor were to submit this article for publication, it would be rejected on these grounds alone.
REPLY: There is a third option, perhapss he doesn’t trust the “correction”. I know that many of us here don’t trust “corrections” applied to data. For example most GISS corrections of weather station data for homogenization are the wrong sign. – Anthony
REPLY2: John I have deleted your response, and I resent the smear you made against me for publishing this informal essay from Dr. Lindzen. You get a 24 hour timeout. If you wish to continue, lose the ad homs. Otherwise off to the troll bin permanently for you. – Anthony
Glad to see Lindzen citing his peers for their need for perspective. I’m sure any number of observers has pointed out that the warmist case has seen as more not seeing the forest for the trees than real disingenuity.
The question is whether we’re headed for a catastrophe. It’s too facile to exculpate CO2, but it’s too capricious to have taken 15, then 25 years of data and modeling and declare a certain trend with so many unknowns when the atmosphere and seas are so bloody complex.
From the source code I’ve seen & the critiques flying about, seems to me that fluid dynamics is best modeled using cellular automata, not formula-based statistical models. The problem is that in order to model the Earth’s atmosphere available computing power probably needs to be increased 1000 fold & a new generation of GCM developed.
Chris V:
That’s where you’re going wrong. A higher albedo does not increase the cooling, it decreases the warming.
An analogy is income tax. Income tax is a negative feedback on your earnings – the more you earn the more tax you pay. the less you earn the less tax you pay, so the less the negative feedback, until your earnings reduce to the point where you no longer pay tax. Below that point the feedback is zero, it does not become positive.
timetochooseagain (22:48:42) :
Doh! That should be “homogeneous”-of course Milankovitch forcing is heterogeneous-I meant it is not homogeneous! Gah! How’d I miss that?
In my opinion, the climate community has developed its own version of the wheel, except it tends to be square.
All this business of forcings, is a convoluted attempt to translate energy. Watts per meter square is radiation and radiation is not conserved, it is energy that is conserved. This means that there are forms of energy that cannot be translated into radiative energy per area. Like convection, and evaporation and condensation and turbulence.
By sticking to the square angles of their wheels they manage to confuse the issue the way magicians work with audiences, focusing their attention on trivia so they can do their trick.
anna v-Good points! Yes, the treatment using radiation is misleading.
I’m only a machine designer not a climatologist so this is likely a very simplistic question for the experts who have been posting here. When heat is absorbed by liquid water at the surface, there is a point where continued absorption of that heat does not raise temperature and instead results in the change of state to water vapor. So the amount of energy that went into the water to change it into a gas becomes a locked in quantity that is unaffected by the adiabatic change in temperature as the water vapor decreases in pressure as it rises up to some altitude where it condenses back to a liquid. So, it appears that the portion of heat that went into the change of state at the surface is being physically transported via convection to some high altitude and being released there and is thus unimpeded by any GHG between the surface and the cloud formation altitude.
Given that I haven’t screwed up the above, my question is, IF it is true that CO2 tends to trap more heat at the surface that then evaporates water more quickly there then, all other things being equal radiation-wise, can it be said that the ‘blanketing’ effect of CO2 to retain heat at the surface actually results in a net global cooling by way of increased evaporation and convection?
Anna v:
W/m^2 is not just radiation it’s an energy flux, convection and evaporation can certainly be expressed in those terms (and are, see Kiehl & Trenberth for example).
anna v (05:57:06) :
Yes, phrasing thing in terms of energy and energy density would definitely make things a lot clearer.
timetochooseagain (22:55:47) :
If i am interpreting the 1993 Lindzen paper you linked to correctly, Lindzen was proposing that atmospheric heat flow from the equator to the poles increases under ice age conditions, and that this process allows ice ages to occur with much lower CO2 sensitivities. To be honest, I don’t quite understand how moving heat around within the system can cause the entire system to cool, but that might very well be from my lack of knowledge on the subject.
There is a criticsm of Lindzen’s idea here:
http://www-eaps.mit.edu/faculty/lindzen/PublicationsRSL.html
It’s Paper #165 on that list, in the response.
Among the criticisms are: that moving the heat around doesn’t change the outgoing radiation significantly; and that studies of paleoclimate indicate much higher CO2 sensitivities are necessary to get the observed temperatures.
In any event, Lindzens 1993 paper was a first-stab, theoretical look at the issue (as the paper itself admits). It did not attempt to compare the theoretical calculations to actual observations.
The ideas expressed in that paper have not been accepted by the wider climate-science community, and (based on Lindzen’s list of publications) it does not look like Lindzen has followed up on this idea and compared his theoretical calculations to observations.
More thoughts on negative feedback.
A Reality Check on the Role of Water Vapour in Climate Change: A Note from Michael Hammer
http://jennifermarohasy.com/blog/2009/04/role-of-water-vapour-in-climate-change/#more-4654
Mike Lorrey (23:08:28) :
Chris V,
Solar irradiance at ground level is about 1000 W/sqm. Total solar irradiance in orbit is about 1,350 W/sqm. Anybody messing about with solar panels can tell you that.
The numbers I cited are averaged over the entire surface of the earth (day and night side, high and low latitudes). The numbers you have cited are for the daylight side only, at low latitudes.
anna v (05:57:06) :
If the earths radiation balance is not at equilibrium, the planet must warm or cool until the outgoing radiation equals the incoming.
Things like convection and evaporation move energy around within the system, but ultimately all energy leaves (and enters) the system in the form of radiation- convection does not extend into space!
John Philip (02:18:46) :
Either Prof Lindzen is unaware of the correction, which I find impossibly unlikely, or he has knowingly circulated incorrect information to support his case, an act that one might normally expect would attract severe opprobrium from the posters of an objective science blog such as this. Neither possibility does much for the pursuasiveness of his argument, in my view. Certainly if the Professor were to submit this article for publication, it would be rejected on these grounds alone.
REPLY: There is a third option, perhapss he doesn’t trust the “correction”. I know that many of us here don’t trust “corrections” applied to data. For example most GISS corrections of weather station data for homogenization are the wrong sign. – Anthony
In which case he should say so and justify his opinion. The corrections are for orbital decay/drift and are described in detail by the original authors:
http://asd-www.larc.nasa.gov/~tak/wong/f20m.pdf
This is a similar correction to one of those done by Spencer & Christy, anyone using their early data in a paper without referencing those corrections would be criticized and rightly so. The same applies to Lindzen.
REPLY: Normally that type of criticsm would be warranted, and I understand where you are coming from, but this was an informal essay passed around on an email list as noted in the beginning. His goal was to help many of the laymen and bloggers get a handle on hist ICC09 presentation, which he has succeeded in doing. If you want to criticize Linden at peer review level, that’s well and good, but you’ll have to publish your full name and university affiliation here. I grow tired of your criticisms from the cloak of anonymity. Step up or shut up. If and when you do, I’ll not only thank and congratulate you, but you’ll also get more respect here. – Anthony
Peter (04:13:06) :
Chris V:
Think of ice albedo (which is a positive feedback). If the earth warms, you have less ice. Less ice means lower albedo, so less light is reflected, which increases the warming. If the earth cools, you get more ice. More ice means higher albedo, which reflects more light, and increases the cooling.
That’s where you’re going wrong. A higher albedo does not increase the cooling, it decreases the warming.
An analogy is income tax. Income tax is a negative feedback on your earnings – the more you earn the more tax you pay. the less you earn the less tax you pay, so the less the negative feedback, until your earnings reduce to the point where you no longer pay tax. Below that point the feedback is zero, it does not become positive.
The difference between “less warming” and “cooling” is just semantics- it doesn’t change my point. Your comparison with income tax doesn’t make sense.
I don’t think you understand the term feedback as it is used in climate.
To state it slightly differently than my original post, if the earths temperature goes up (from increasing solar output) then some ice at the poles melts. Less ice means more energy from the sun is absorbed, so temperatures go up further.
If the earths temperature goes down (from a decrease in solar output) than more ice forms. More ice means more light is reflected and less is absorbed, so the temperature goes down some more.
In both of these situations, the ice is acting as a POSITIVE feedback- pushing the temperature further in the same direction as the initial temperature change.
Chris V-what you say is the equivalent of “look, I can ignore this, because everyone else has. Okay?” Whatever, live in your box if you want.
“focusing their attention on trivia so they can do their trick.”
Indeed. Lindzen ingenuously uses their heuristic which they ‘prove’ a “strawman” and suppose we’ll miss the significance.
you are STILL refusing to “get it” don’t you? The problem is not if the weather changes are man made or naturally occurring. The problem is that change IS happening, and it will seriously interfere with out ability to grow food for 6.6 billion hungry people.
Nothing more need to be said.
REPLY: Actually a warmer planet with more C02 will in fact improve growing conditions, which is why that exact growing environment is created in production greenhouses. Your logic is reversed. – Anthony
timetochooseagain (07:57:37) :
Like you, i am just an “amateur climatologist”. I do not have the background to judge the merits of Lindzen’s idea myself.
In situations like that- whether the subject is climate, or medicine, or physics…. – I tend to accept the conclusions of the majority of the scientists in those particular fields. And so do you (in most cases).
But I am still unaware of any papers that test Lindzen’s idea against real world observations- do you know of any? Without that, Lindzen’s idea represents an untested hypothesis, and one that is in disagrement with many other lines of evidence.
Given that situation, I think it’s completely reasonable to be very skeptical of Lindzen’s idea- but that’s just me.