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26 June 2007

A Saturated Gassy Argument

Filed under: — group @ 7:26 AM - (Português) (English)

A guest post by Spencer Weart, in collaboration with Raymond T. Pierrehumbert

The simple physics explanations for the greenhouse effect that you find on the internet are often quite wrong. These well-meaning errors can promote confusion about whether humanity is truly causing global warming by adding carbon dioxide to the atmosphere. Some people have been arguing that simple physics shows there is already so much CO2 in the air that its effect on infrared radiation is "saturated"— meaning that adding more gas can make scarcely any difference in how much radiation gets through the atmosphere, since all the radiation is already blocked. And besides, isn't water vapor already blocking all the infrared rays that CO2 ever would?

The arguments do sound good, so good that in fact they helped to suppress research on the greenhouse effect for half a century. In 1900, shortly after Svante Arrhenius published his pathbreaking argument that our use of fossil fuels will eventually warm the planet, another scientist, Knut Ångström, asked an assistant, Herr J. Koch, to do a simple experiment. He sent infrared radiation through a tube filled with carbon dioxide, containing somewhat less gas in total then would be found in a column of air reaching to the top of the atmosphere. That's not much, since the concentration in air is only a few hundred parts per million. Herr Koch did his experiments in a 30cm long tube, though 250cm would have been closer to the right length to use to represent the amount of CO2 in the atmosphere. Herr Koch reported that when he cut the amount of gas in the tube by one-third, the amount of radiation that got through scarcely changed. The American meteorological community was alerted to Ångström's result in a commentary appearing in the June, 1901 issue of Monthly Weather Review, which used the result to caution "geologists" against adhering to Arrhenius' wild ideas.

Still more persuasive to scientists of the day was the fact that water vapor, which is far more abundant in the air than carbon dioxide, also intercepts infrared radiation. In the infrared spectrum, the main bands where each gas blocked radiation overlapped one another. How could adding CO2 affect radiation in bands of the spectrum that H2O (not to mention CO2 itself) already made opaque? As these ideas spread, even scientists who had been enthusiastic about Arrhenius's work decided it was in error. Work on the question stagnated. If there was ever an "establishment" view about the greenhouse effect, it was confidence that the CO2 emitted by humans could not affect anything so grand as the Earth's climate.

Nobody was interested in thinking about the matter deeply enough to notice the flaw in the argument. The scientists were looking at warming from ground level, so to speak, asking about the radiation that reaches and leaves the surface of the Earth. Like Ångström, they tended to treat the atmosphere overhead as a unit, as if it were a single sheet of glass. (Thus the "greenhouse" analogy.) But this is not how global warming actually works.

What happens to infrared radiation emitted by the Earth's surface? As it moves up layer by layer through the atmosphere, some is stopped in each layer. To be specific: a molecule of carbon dioxide, water vapor or some other greenhouse gas absorbs a bit of energy from the radiation. The molecule may radiate the energy back out again in a random direction. Or it may transfer the energy into velocity in collisions with other air molecules, so that the layer of air where it sits gets warmer. The layer of air radiates some of the energy it has absorbed back toward the ground, and some upwards to higher layers. As you go higher, the atmosphere gets thinner and colder. Eventually the energy reaches a layer so thin that radiation can escape into space.

What happens if we add more carbon dioxide? In the layers so high and thin that much of the heat radiation from lower down slips through, adding more greenhouse gas molecules means the layer will absorb more of the rays. So the place from which most of the heat energy finally leaves the Earth will shift to higher layers. Those are colder layers, so they do not radiate heat as well. The planet as a whole is now taking in more energy than it radiates (which is in fact our current situation). As the higher levels radiate some of the excess downwards, all the lower levels down to the surface warm up. The imbalance must continue until the high levels get hot enough to radiate as much energy back out as the planet is receiving.

Any saturation at lower levels would not change this, since it is the layers from which radiation does escape that determine the planet's heat balance. The basic logic was neatly explained by John Tyndall back in 1862: "As a dam built across a river causes a local deepening of the stream, so our atmosphere, thrown as a barrier across the terrestrial [infrared] rays, produces a local heightening of the temperature at the Earth's surface."

Even a simple explanation can be hard to grasp in all its implications, and scientists only worked those out piecewise. First they had to understand that it was worth the trouble to think about carbon dioxide at all. Didn't the fact that water vapor thoroughly blocks infrared radiation mean that any changes in CO2 are meaningless? Again, the scientists of the day got caught in the trap of thinking of the atmosphere as a single slab. Although they knew that the higher you went, the drier the air got, they only considered the total water vapor in the column.

The breakthroughs that finally set the field back on the right track came from research during the 1940s. Military officers lavishly funded research on the high layers of the air where their bombers operated, layers traversed by the infrared radiation they might use to detect enemies. Theoretical analysis of absorption leaped forward, with results confirmed by laboratory studies using techniques orders of magnitude better than Ångström could deploy. The resulting developments stimulated new and clearer thinking about atmospheric radiation.

Among other things, the new studies showed that in the frigid and rarified upper atmosphere where the crucial infrared absorption takes place, the nature of the absorption is different from what scientists had assumed from the old sea-level measurements. Take a single molecule of CO2 or H2O. It will absorb light only in a set of specific wavelengths, which show up as thin dark lines in a spectrum. In a gas at sea-level temperature and pressure, the countless molecules colliding with one another at different velocities each absorb at slightly different wavelengths, so the lines are broadened and overlap to a considerable extent. Even at sea level pressure, the absorption is concentrated into discrete spikes, but the gaps between the spikes are fairly narrow and the "valleys" between the spikes are not terribly deep. (see Part II) None of this was known a century ago. With the primitive infrared instruments available in the early 20th century, scientists saw the absorption smeared out into wide bands. And they had no theory to suggest anything different.

Measurements done for the US Air Force drew scientists' attention to the details of the absorption, and especially at high altitudes. At low pressure the spikes become much more sharply defined, like a picket fence. There are gaps between the H2O lines where radiation can get through unless blocked by CO2 lines. Moreover, researchers had become acutely aware of how very dry the air gets at upper altitudes — indeed the stratosphere has scarcely any water vapor at all. By contrast, CO2 is well mixed all through the atmosphere, so as you look higher it becomes relatively more significant. The main points could have been understood already in the 1930s if scientists had looked at the greenhouse effect closely (in fact one physicist, E.O. Hulbert, did make a pretty good calculation, but the matter was of so little interest that nobody noticed.)

As we have seen, in the higher layers where radiation starts to slip through easily, adding some greenhouse gas must warm the Earth regardless of how the absorption works. The changes in the H2O and CO2 absorption lines with pressure and temperature only shift the layers where the main action takes place. You do need to take it all into account to make an exact calculation of the warming. In the 1950s, after good infrared data and digital computers became available, the physicist Gilbert Plass took time off from what seemed like more important research to work through lengthy calculations of the radiation balance, layer by layer in the atmosphere and point by point in the spectrum. He announced that adding CO2 really could cause a degree or so of global warming. Plass's calculations were too primitive to account for many important effects. (Heat energy moves up not only by radiation but by convection, some radiation is blocked not by gas but by clouds, etc.) But for the few scientists who paid attention, it was now clear that the question was worth studying. Decades more would pass before scientists began to give the public a clear explanation of what was really going on in these calculations, drawing attention to the high, cold layers of the atmosphere. Even today, many popularizers try to explain the greenhouse effect as if the atmosphere were a single sheet of glass.

In sum, the way radiation is absorbed only matters if you want to calculate the exact degree of warming — adding carbon dioxide will make the greenhouse effect stronger regardless of saturation in the lower atmosphere. But in fact, the Earth's atmosphere is not even close to being in a state of saturation. With the primitive techniques of his day, Ångström got a bad result, as explained in the Part II . Actually, it's not clear that he would have appreciated the significance of his result even if he had gotten the correct answer for the way absorption varies with CO2 amount. From his writing, it's a pretty good guess that he'd think a change of absorption of a percent or so upon doubling CO2 would be insignificant. In reality, that mere percent increase, when combined properly with the "thinning and cooling" argument, adds 4 Watts per square meter to the planets radiation balance for doubled CO2. That's only about a percent of the solar energy absorbed by the Earth, but it's a highly important percent to us! After all, a mere one percent change in the 280 Kelvin surface temperature of the Earth is 2.8 Kelvin (which is also 2.8 Celsius). And that's without even taking into account the radiative forcing from all those amplifying feedbacks, like those due to water vapor and ice-albedo.

In any event, modern measurements show that there is not nearly enough CO2 in the atmosphere to block most of the infrared radiation in the bands of the spectrum where the gas absorbs. That's even the case for water vapor in places where the air is very dry. (When night falls in a desert, the temperature can quickly drop from warm to freezing. Radiation from the surface escapes directly into space unless there are clouds to block it.)

So, if a skeptical friend hits you with the "saturation argument" against global warming, here's all you need to say: (a) You'd still get an increase in greenhouse warming even if the atmosphere were saturated, because it's the absorption in the thin upper atmosphere (which is unsaturated) that counts (b) It's not even true that the atmosphere is actually saturated with respect to absorption by CO2, (c) Water vapor doesn't overwhelm the effects of CO2 because there's little water vapor in the high, cold regions from which infrared escapes, and at the low pressures there water vapor absorption is like a leaky sieve, which would let a lot more radiation through were it not for CO2, and (d) These issues were satisfactorily addressed by physicists 50 years ago, and the necessary physics is included in all climate models.

Then you can heave a sigh, and wonder how much different the world would be today if these arguments were understood in the 1920's, as they could well have been if anybody had thought it important enough to think through.

For Further Reading

References and a more detailed history can be found here and here.

Some aspects of the "thinning and cooling" argument, and the importance of the radiating level are found in the post A Busy Week for Water Vapor, which also contains a discussion of water vapor radiative effects on the top-of-atmosphere vs. surface radiation budget. A general discussion of the relative roles of water vapor and CO2 is given in Gavin's post on ths subject.

You can get a good feel for the way CO2 and water vapor affect the spectrum of radiation escaping the Earth by playing around with Dave Archer's online radiation model here. It would help, of course, to read through the explanation of radiating levels in Archer's book, Understanding the Forecast. A discussion of radiating levels for real and idealized cases, at a more advance level, can be found in the draft of Pierrehumbert's ClimateBook; see Chapters 3 and 4.

The Monthly Weather Review article commenting on Ångström's work is here, and Ångström's original article is here.



281 Responses to “A Saturated Gassy Argument”

  1. Barton Paul Levenson Says:

    Excellent article! I have been seeing the “saturation” argument a fair amount recently, and this is a nice summary of why it’s not true. Thanks for posting.

  2. pete best Says:

    Thank you very much realclimate.

    Top stuff.

    Any idea what levels of CO2 required would cause saturation ?

  3. pat n Says:

    I used an excerpt from this realclimate article - which I put at the bottom of my recent article at Newsvine called: 15 cartoon finalists on science, policy and climate change, at:

    http://npat.newsvine.com/_news/2007/06/25/802021-15-cartoon-finalists-on-science-policy-and-climate-change

  4. stuart Says:

    Any idea what levels of CO2 required would cause saturation ?

    Looking at the graph on the Part II article it looks like there is still extra areas to absorb at 100,000 times pre-industrial CO2 levels, up at the 21-22 micron wavelengths, and some down at 11.5 microns or so that would take 10,000 times as much to be absorbed at the other end of the peak. It seems unlikely there is enough carbon around for us to burn to get it that high, so in practise we aren’t going to reach saturation at any point.

    [Response: Quite true. In fact, you need to look in the spectrum beyond the graph in Part II to see when CO2 really gets saturated, because the portions of the spectrum outside the wavelength range shown can be considered transparent to thermal infrared for the purposes of discussing Earth, but start to absorb significantly at extremely high CO2 values like those on Venus. Of particular interest in this regard is the CO2 continuum, which starts just to the shortwave side of the graph in Part II. When you take the CO2 continuum into account you find that for gravity like Earth or Venus, CO2 starts to become saturated for a surface pressure of about 10 bars (10 Earth atmospheres). Venus has a surface pressure of about 90 bars, and has an almost pure CO2 atmosphere. Even for Venus, to infer that CO2 absorption is saturated one needs to go to absorption data beyond what’s in the HITRAN database, since the high surface temperature causes the surface of the planet to radiate into shorter wave parts of the infrared than does Earth. On Earth, both the lack of saturation and the “thinning and cooling” argument come into play in determining the climate. Venus is an example of a planet that can be considered saturated in the sense imagined by Angstrom for Earth, but which nevertheless gets warmer as you add additional CO2 because of the “thinning and cooling” argument. –raypierre]

  5. BCC Says:

    Well done.

    This article makes the physics involved relatively easy to understand, without oversimplifying. It also clearly explains why the current crop of saturation “arguments” out there are irrelevant. It nicely ties together the science with the relevant history, which I find fascinating. Finally, it summarizes the main points of the article in a concise closing paragraph.

    5 stars.

  6. B Buckner Says:

    If I am reading this correctly (and I may not be), as co2 concentration rise, the greenhouse effect shifts somewhat to the upper atmosphere where water vapor is nearly absent and co2 has a larger relative effect. Two questions. First, why then do model predictions and actual measurements show the troposhere warming and the stratosphere cooling? Second, the infra red absorption rate is proportional to the number of molecules of co2 encountered by the radiation. With co2 well dispersed in the entire column of the atmosphere at 380 ppm, are not there many fewer co2 molecules in the thin air of the stratosphere and therefore limited absorption of radiation?

    [Response: You are reading this correctly, though you should keep in mind that the level which controls the greenhouse effect depends on which wavelength you are looking at (see Part II). Near the centers of strong absorption lines, even the stratosphere by itself is strongly absorbing, and hence (by something known as Kirchoff’s Law) strongly emitting. The reason the stratosphere cools upon increase of CO2 is that the balance in the stratosphere is between absorption of solar radiation by ozone and cooling by infrared emission. As you increase the CO2, there is excessive radiative cooling, so the stratosphere has to cool down to come back into balance. As for your second question, it is precisely because there are fewer molecules of CO2 in the thin upper air that CO2 increases continue to increase the greenhouse effect even when the column as a whole is saturated. Because you are adding more molecules throughout the column, the extra molecules you add at high layers where there isn’t initially enough CO2 to absorb everything can make a difference. –raypierre]

  7. Robert A. Rohde Says:

    Of potential interest to people here, I recently completed making a figure showing atmospheric absorption bands for the principle gases. The primary goal of the figure was to compare downgoing solar and upgoing thermal radiation, so it doesn’t do much to clarify the saturation arguments per se, but does show the relative importance of water vapor and other gases and help understand where the saturation arguments are coming from.

    Though not really a complete argument, for unsophisticated audiences, I find that saying that more CO2 allows heat to be held “closer” to the Earth’s surface is often an effective response to the saturation line of thought.

  8. Timothy Chase Says:

    All of this is greatly appreciated - including the links. Undoubtedly it will take a while for me to absorb (absorp?) all I can from the light with which you both (and David Archer) have illuminated this subject, but that means a journey of discovery which I will enjoy for quite some time to come.

  9. Gene Hawkridge Says:

    Even if rising CO2 levels were not a global warming concern, there is another reason to be concerned about rising CO2: toxicity. Humans evolved in conditions of pre-industrial CO2 levels, so presumably we tolerate 300 ppm just fine, but the physiological effects of higher CO2 levels on a long-term basis have perhaps not been adequately studied. Do you feel a little drowsey sitting in the auditorium or class room? It may well be related to higher CO2 levels - upwards of 600 ppm would not be unusual. Levels as low as 2000 ppm may result in unconsciousness, but lower levels may result in impairment in our mental functions and have other health implications.

  10. Russell Seitz Says:

    Re Raypierre’s response to 4

    It would help clarify matters further to point out that because the peak wavelength of a planet’s radiated energy depends on the fourth power of its temperature , absorption at 20 micron wavelengths is much less important on Earth than absorption around 10 microns , for having a temperature of roughly 300K, Earth is essentially a ten micron peak black body.

    The 21-22 micron CO2 band corresponds to a blackbody temperature of ~150 Kelvin, too low to be of much Earthly interest because of the feeble radiated power. In the outer solar system many bodies have even lower temperatures, but CO2’s gaseous absorption spectrum is moot because it freezes out around 200K.

    It would be great if RealClimate could persuade Weart to apply his clear-eyed prose to _An Inconvenient Truth_ with the same vigor he devoted to hyperbolic Cold War icons in his superb book _Nuclear Fear : A History Of Images’_

    [Response: You’re quite wrong about much of what you’ve said in this comment. For one thing, you’re confusing the Stefan-Boltzman law with the Wien displacement law; the wavelength of peak emission is inversely proportional to the temperature itself, not to the fourth power of the temperature. Further, because of the Planck law, the emission tails off very sharply at wavelengths shorter than the peak, but only rather gradually at wavelengths longer than the peak. For that reason, the emission of the Earth at wavelengths where CO2 is a good absorber is extremely important. You’d understand this if you had bothered to play around with Dave Archer’s online spectrally resolved model. Really, you are rather ignorant for one who makes pronouncements of this sort with such confidence. I won’t even get into how your prejudice against Al Gore blinds you to the essential correctness of what he presents in “An Inconvenient Truth.” And please, let’s not get into any further discussion of either Al Gore or nuclear weapons or nuclear power in this thread. Any such discussion will be considered off-topic and will be expunged. –raypierre]

  11. catman306 Says:

    Here is an explanation as to why, 17 years after global greenhouse warming was acknowledged as ‘real’, it is necessary to have RC to point out the lies and distortions of ’skeptics’ and bogus scientists.

    http://www.motherjones.com/mojoblog/archives/2007/06/4723_cheney_stovepip.html

  12. pat n Says:

    That link doesn’t explain why there were only a few scientists in government who took an honest stand on climate change.

  13. DaveS Says:

    Are you assuming that CO2 concentrations are consistent (evenly distributed) throughout the vertical entirety of the atmosphere? It seems to me (based purely on intuition) that CO2 concentrations would be decreasingly significant with altitude, such that the top-most layers of the atmosphere would experience very little change in CO2 concentration. How much of the CO2 in the atmosphere actually exists up there? What percentage of all CO2 exists in the stratosphere?

  14. Timothy Chase Says:

    DaveS (#13) wrote:

    Are you assuming that CO2 concentrations are consistent (evenly distributed) throughout the vertical entirety of the atmosphere? It seems to me (based purely on intuition) that CO2 concentrations would be decreasingly significant with altitude, such that the top-most layers of the atmosphere would experience very little change in CO2 concentration. How much of the CO2 in the atmosphere actually exists up there? What percentage of all CO2 exists in the stratosphere?

    I don’t have the figures, and no doubt it differs by latitude, but you are right: the carbon dioxide isn’t evenly distributed.

    The marked decrease of the CO2 concentration in the lower stratosphere compared with the upper troposphere suggests that, contrary to previous practice, it is wrong to assume a constant mixing-ratio of CO2 in the troposphere and stratosphere.

    Concentration of CO2 in the Upper Troposphere and Lower Stratosphere (abstract)
    H. W. GEORGII & D. JOST
    Nature 221, 1040 (15 March 1969)
    http://www.nature.com/nature/journal/v221/n5185/abs/2211040a0.html

    The concentration is higher in the stratosphere. And we have known this since 1969.

  15. W F Lenihan Says:

    The following is the citation to a recent peer reviewed study on the effects of CO2 enrichment and depletion upon cucumber growth in a greenhouse environment. I hope that your readers and scientists will comment on it. It appears that CO2 is a powerful gaseous fertilizer. Reduced CO2 diminishes plant growth. What will happen to the world’s food production capacity if CO2 levels are reduced below current levels?

    [Response: That’s hardly likely… - gavin]

    Segura, M.L., Parra, J.F., Lorenzo, P., Sánchez-Guerrero, M.C. and Medrano, E. 2001. THE EFFECTS OF CO2 ENRICHMENT ON CUCUMBER GROWTH UNDER GREENHOUSE CONDITIONS. Acta Hort. (ISHS) 559:217-222
    http://www.actahort.org/books/559/559_31.htm

  16. Chuck Booth Says:

    Re # 15 “What will happen to the world’s food production capacity if CO2 levels are reduced below current levels?

    Well, cucumbers have apparently been cultivated for some 3000 years (http://www.foodreference.com/html/a-cukes-history.html), so I’m willing to bet they would do just as well as they did at pre-industrial revolution levels of CO2. But, I doubt we will return to those lower levels any time soon.

    In the mean time, as CO2 levels continue to rise, poison ivy will also thrive (http://www.sciencenews.org/articles/20060603/fob1.asp). More cucumbers and poison ivy - it doesn’t get much better than that!

  17. PHE Says:

    Off-topic, but the ‘Review comments and responses’ of IPCC WG1 AR4 are now on line. A fascinating read:

    http://ipcc-wg1.ucar.edu/wg1/Comments/wg1-commentFrameset.html

  18. Ike Solem Says:

    Perhaps readers would care to use this post to critique Steven Milloy’s recent statement on Fox News:

    “Based on the physics of the greenhouse effect, a doubling of carbon dioxide levels from the pre-industrial period (supposedly around 280 parts per million) to 560 parts per million (about 48 percent higher than present levels), might lead to an increase in average global temperature on the order of less than 1 degree centigrade - and we’ve already experienced about 60 percent of that increase.”

    “A further doubling of atmospheric carbon dioxide to 1,120 parts per million would result in even less of an increase in temperature because of the energy absorption properties of carbon dioxide.”

    “Essentially, the Earth only radiates so much energy back into the atmosphere that is available to be absorbed by carbon dioxide. Once all that energy is absorbed, superfluous carbon dioxide will not add to the greenhouse effect.”

    Briefly, the equilibrium climate sensitivity is estimated to be around 3C, not ‘less than 1C’, and could be higher (1.7-4.5 are the current 95% confidence limits). If it is 3C, than we’ve only experienced 20% of the estimated warming over the pre-industrial case. The second paragraph is just wrong - doubling CO2 from preindustrial to 2X should have the same temperature effect as going from 2X to 4X. However, you could see accelerating CO2 emissions leading to a faster rate of temperature increase due to carbon cycle-feedback effects. The third paragraph? This article deals with that.

    Why can’t ’science journalists’ get their facts straight? Why does Fox hire ex-tobacco lobby employees to write articles claiming that global warming is a hoax?

    [Response: Under no definition is Milloy a ’science journalist’. On the contrary, science journalists generally do a pretty good job (and I’ve dealt with a lot). - gavin]

  19. Timothy Chase Says:

    Regarding Steve Milloy (#18):

    I thought it was more like 1.2 C for CO2 doubling - and that is before the water vapor feedback which would bring it up to 2.9 C.

    Perhaps Steve is trying to land a job at Exxon?

  20. Ike Solem Says:

    In support of real science journalists:
    Ten predictions about climate change that have come true, Tim Flannery, TO June 2007

    and Coastal zones set agenda on climate, Mike Lee, SDUT, Jun 2007

    On the minus side, Gloom and Doom in a a Sunny Day, by Emily Yoffe, WP is worth looking at. This is not really science journalism, but rather opinion. “I, however, refuse to see the apocalypse in every balmy day…”

    Here we have no mention of science, just an appeal to be ‘free from fear’ and a condemnation of the use of ‘the politics of fear’ by ‘global warming activists’.

    However, few if any of the science journalists who discuss climate change and global warming ever make the connection to renewable energy. Articles on global warming focus on the need to reduce emissions of to sequester carbon from coal, but they rarely attempt to discuss the plausibility of replacing all CO2-emitting fuel sources with renewable energy.

    What’s really lacking is a reasonable global plan to replace current fossil-fueled electricity generation and transportation with renewables.

  21. John Mashey Says:

    re: #15
    Given the Wall Street Journal’s editorial views, I was amused to find, today, June 26:

    1) “Climate Changes are Making Poison Ivy More Potent”, by Tara Parker-Pope.

    U of Md research, published in magazine “Weed Science” shows poison ivy (@ 400ppm CO2) compared to 1950’s 300ppm:
    - grows at almost twice the rate.
    - is hardier plant that recovers faster from grazing animals’ ravages.
    Duke U research shows that more CO2 creates more potent irritants as well.

    Kudzu is another plant that responds well to increased CO2.

    2) “Drought Wreaks Devastation in West, Southeast”, Jim Carlton & Lauren Etter. Drought, bugs, fires, not enough hay for cows (in Florida).
    ====
    Putting these two together, there’s a simple rule, which any modern farmer knows perfectly well (actually farm kids typically learn this stuff by the time they’re 10 or 12):

    Up to a plant’s genetic limits, you can increase its growth by giving it more of what it needs {sun, water, soil nutrients, CO2, right temperature range/climate pattern}, but it is always limited by whichever is *least* sufficient. You can plant cucumbers in the middle of the Sahara, and no matter how much CO2 you give them, they’re dead.

    Some plants are amazingly specific in their optimum conditions, which is one of the reasons many California towns specialize in the one fruit or vegetable that fits the best right now. This is why people like Borlaug spend their lives tinkering with plants to get variants tuned for specific local conditions.

    If warming moves a crop’s comfortable temperature zone nearer the poles, that doesn’t mean:
    - that it necessarily gets the same amount of water
    - that it has the same soil
    - that it gets as much sunlight (well, actually it gets less, for sure)

    Of course, such motion normally takes quite a while, I don’t expect the Napa vineyards in Alaska any time soon.

    It is useful to increase yield in greenhouse crops via extra CO2, in places with adequate sun and water, but that is a tiny fraction of the world’s agriculture, and doesn’t really give any practical help for staples like wheat, corn, rice, etc.

  22. Tom Street Says:

    Spence and Raymond

    This came up with respect to another post but seems relevant here. Based on what you have written, is it correct that we should expect greater temperature changes at higher altitudes (in the mountains, not upper atmosphere)? In addition, is there data somewhere that actually shows that the increases in temperature are greater than the average for the planet as a whole.

    You said:

    “Moreover, researchers had become acutely aware of how very dry the air gets at upper altitudes â�� indeed the stratosphere has scarcely any water vapor at all. By contrast, CO2 is well mixed all through the atmosphere, so as you look higher it becomes relatively more significant.”

    On this site, I was told before that the relatively small amount of water vapor at high altitudes should result in a greater impact from co2 increases. This seems to track with the above.

    I am not talking here about the stratosphere, but it seems we do not need to go that high to observe the relative differences in changes of high vs low altitudes.

    Living at 8500 feet in the Rockies, my observation would be that the average temperature is several degrees warmer than when I was a child in the 50s. Is there any corroboration for this.

  23. James Says:

    A bit off-track here, but something that has nagged at me for a while… When we get statements like “…an increase in average global temperature on the order of less than 1 degree centigrade…”, why are the numbers not also given in degrees F as well? Most Americans (and probably many people in other countries with a British heritage) simply don’t think in centigrade. (Much less the now PC “Celsius”.) I’ve used that scale in science since high school, and I still have to stop and mentally translate to really feel what it means.

    This might be a big part of the reason many Americans see climate change as less important than the rest of the world, because the potential temperature increases are psychologically discounted by almost half. We think that say a 3 degree increase isn’t all that much, when it’s actually, in our familiar terms, a much larger increase of almost 6 degrees F.

  24. Steve Reynolds Says:

    Spencer Weart> …That’s only about a percent of the solar energy absorbed by the Earth, but it’s a highly important percent to us! After all, a mere one percent change in the 280 Kelvin surface temperature of the Earth is 2.8 Kelvin…

    That statement seems either incorrect or misleading to me. With the T^4 energy radiation dependence on temperature, doesn’t the one percent forcing cause only ~1/4 percent change (0.7K) in temperature?

    Of course that is without positive feedback effects.

    [Response: Actually, I’m to blame for that particular bit of verbiage. It wasn’t meant to be a quantitative estimate of the amount of warming you’d expect from a 1% change, but just to make the point that the order of magnitude of a percent of the Earth’s temperature in Kelvin is a significantly large number. It’s a way of saying that a 1% change in the radiation budget is not small enough to discard out of hand, and so it is necessary to do the work to find the (order unity) numerical factors needed to translate that 1% change into the corresponding percentage change in the Earth’s temperature. It’s Kelvins that are important rather than Celsius in this regard, because both the radiation and the thermodynamics work in Kelvins.

    By the way, you can get part of the way to the actual climate sensitivity using the T^4 law if you put in the correct (cold) radiating temperature of the planet, but water vapor feedback makes the curve of emission vs. temperature more linear than T^4, and therefore enhances the sensitivity. –raypierre]

  25. Blair Dowden Says:

    The text above state that doubling carbon dioxide “adds 4 Watts per square meter to the planets radiation balance for doubled CO2. That’s only about a percent of the solar energy absorbed by the Earth, but it’s a highly important percent to us! After all, a mere one percent change in the 280 Kelvin surface temperature of the Earth is 2.8 Kelvin.

    If I understand the Stefan-Boltzmann law correctly, a body radiates at the fourth power of its temperature. Therefore the first four W/m2 will cause more warming than the last four W/m2. This is why a forcing of 4 W/m2 (I thought it was 3.7 for doubled CO2) give a direct warming (before feedbacks) of 1.2 K rather than 2.8 K.

  26. Jick Says:

    Uhh, isn’t “Herr” simply a German way to say “Mister”?

    You keep saying “Herr Koch” as if “Herr” is his first name. (Or is it his first name?) I think we usually don’t say “Mr. X” when talking of someone’s research.

    Or perhaps the custom is different for Germans…?

    [Response: He is referred to as Herr J. Koch in Angstrom’s paper, so we’ve followed Angstrom’s lead in referring to him. –raypierre]

  27. J. Althauser Says:

    Re: #22 I’ve tried to relocate that info here before but wasn’t able to recover it w/ the search engine.

    A point to make before elaborating might be -
    The temperature of Venus (~ all CO2 atmosphere)
    …..surface = 467C, (boiling sufur)
    …..but the expected value without a greenhouse effect = -42 C

    That ’strongly suggests’ the Earth’s CO2 level isn’t at a saturation value.

  28. Marion Delgado Says:

    put another way, there is a lot of buried C02 and carbon and methane and so on you could eventually release. long before we got to “saturation” we’d be extinct.

  29. Marion Delgado Says:

    this is good for the saturation argument.

    As a piecemeal it’s perfect. It leaves out the strong point that temperature and water vapor and C02 are interrelated and there is positive feedback? It kind of includes it - you visualize the C02 piling up higher and higher as it lingers (unlike water vapor at a given temperature).

    Just saying, if people still aren’t convinced, then they should be told that even if the column model doesn’t give them a convincing “feeling” contribution (in the amount of time it’s acting) they need to remember that it’s the lingering C02 raising the radiating levels increasing the temperature increasing the water vapor increasing the temperature increasing the emission of C02 which lingers …

  30. Harald Korneliussen Says:

    This article was enlightening. I hope we will see more guest articles from Dr. Spencer.

  31. Zeke Hausfather Says:

    A quick question: I occasionally run into the argument that the 0.7 degrees C warming observed as CO2 levels have increased from 273 ppm to 383 ppm suggests a lower climate sensitivity, because we are already 40% of the way to a doubling of pre-industrial CO2 levels and we would expect greater radiative forcing changes to occur from the initial addition of CO2 given the relationship between CO2 and wavelength absorption described in this post.

    The obvious answer is that we are not currently at the “equilibrium” temperature that would accompany a 383 ppm CO2 concentration due to the thermal inertia of the ocean, but am I missing anything else? Also, is there a good chart available of the best guess equilibrium temperatures associated with different levels of CO2?

  32. Paul Says:

    Re 15, 16, 21 The main factor that limits food production is not CO2 or water or crop physiology its money. Farmers with money can apply technology to overcome other constraints to agriculture. Those without can not. How productive would California agriculture be if the only technology available was hand tools and human labour?

  33. Barton Paul Levenson Says:

    [[Are you assuming that CO2 concentrations are consistent (evenly distributed) throughout the vertical entirety of the atmosphere? It seems to me (based purely on intuition) that CO2 concentrations would be decreasingly significant with altitude, such that the top-most layers of the atmosphere would experience very little change in CO2 concentration. How much of the CO2 in the atmosphere actually exists up there? What percentage of all CO2 exists in the stratosphere? ]]

    Intuition is misleading in this case. You might expect gases to be stratified by molecular weight, in which case all the carbon dioxide would be low down, since CO2 has a molecular weight of 44 and the mean MW of air is only 29. But it doesn’t work out that way. Turbulence due to convection (a form of heat transfer due to warm parcels of air rising and cool ones falling) keeps the troposphere well mixed. (The troposphere is the lowest layer of the atmosphere, from the ground to about 11 kilometers high on average.)

  34. Barton Paul Levenson Says:

    [[In the mean time, as CO2 levels continue to rise, poison ivy will also thrive (http://www.sciencenews.org/articles/20060603/fob1.asp). More cucumbers and poison ivy - it doesn’t get much better than that!]]

    The last time I tried to eat poison ivy my tongue became inflamed and I had to soak it in calamine lotion for 15 days. I had to cancel all my speaking engagements.

  35. Sam Says:

    For what it is worth, Lubos Motl has a few things to say about this post.
    http://motls.blogspot.com

    [Response: Indeed. And as usual with Motl’s stuff, it’s not worth much. In a rather confused and roundabout way, he seems to have rediscovered that the radiative forcing due to CO2 is logarithmic in CO2 concentration, and to think that’s news. It’s also a howler that he took Spencer to task for trying to explain it all without graphs or equations; the graphs of course are in Part II, the equations are in the references, and what RC is all about is trying to make climate science comprehensible to people who can’t take off a few years do do a graduate degree in the subject. Naturally, one achieves a deeper understanding on the basis of mathematics, but if something can be said to be understood at all, it should be possible to convey some of the essential truth in plain language. I think Spencer did a fine job of that. Motl is a good example though,of how being capable of doing the mathematics is no guarantee of actually being able to derive understanding from it. –raypierre]

  36. Chuck Booth Says:

    Re 34 poison ivy

    Deer seem to love it!
    Global warming –> more poison ivy –> more deer
    Great! Just what we need.

  37. Timothy Chase Says:

    Zeke Hausfather (#31) wrote:

    A quick question: I occasionally run into the argument that the 0.7 degrees C warming observed as CO2 levels have increased from 273 ppm to 383 ppm suggests a lower climate sensitivity, because we are already 40% of the way to a doubling of pre-industrial CO2 levels and we would expect greater radiative forcing changes to occur from the initial addition of CO2 given the relationship between CO2 and wavelength absorption described in this post.

    The most important point we are still not in balance in terms of radiation leaving the planet being equal to the amount of radiation entering the system - it takes a while for the temperature to rise to the point that the radiation leaving the system becomes equal to that which is entering the system - but I would assume that in part this is the inertia associated with the ocean. Then various feedbacks aren’t instantaneous. For example, the effects of carbon dioxide being applified by water vapor.

  38. J.S. McIntyre Says:

    re: #20

    “However, few if any of the science journalists who discuss climate change and global warming ever make the connection to renewable energy. Articles on global warming focus on the need to reduce emissions of to sequester carbon from coal, but they rarely attempt to discuss the plausibility of replacing all CO2-emitting fuel sources with renewable energy.”

    This may not respond specifically to your remark, but does seem to addresses the overall problem being faced. It’s from Sigma XI website, the folks who publish “American Scientist” magazine, where I first saw the executive summary of the follwing report:

    “Confronting Climate Change: Avoiding the Unmanageable and Managing the Unavoidable”

    http://www.sigmaxi.org/about/news/UNSEGReport.shtml

    I haven’t had a chance to read it in depth yet, only skim it, but from the perspective of sustainability, it seems pretty solid.

    Also, given as you brought up alternatives, I was wondering if you could address something that came up in conversation recently regarding water vapor as a GHG. Perhaps a stupid question, but what the heck.

    It was suggested mentioned that hydrogen powered vehicles would be less polluting than the standard internal-combustion engine largely because they expel water vapor. (I’m sure I’m being imprecise here).

    So, he wondered, is anyone aware of any calculations regarding what might happen if over a billion hydrogen powered cars were all operating and expelling water vapor? Would this cause an increase in GHGs that would rival the problems we see with CO2? What about local humidity rates, that sort of thing?

    Thanks in advance.

    Lastly, a little more off-topic but still in the arena, the current American Scientist has an interesting piece on coal:

    http://www.americanscientist.org/template/AssetDetail/assetid/55574;jsessionid=baacFyMVD1uQq8

    Regards,

    [Response: It’s off-topic, but at the risk of inconsistency with my plea further down, I have to say I’m glad you posted a pointer to this article. It’s really thought-provoking. I have been looking into coal reserves myself a bit, and I think that eventually I ought to do a post on the question of how much coal there really is, and how we know; that would provide a good forum for discussing these issues. –raypierre]

  39. Andrew Varga Says:

    Is rising CO2 level really good for farmers? Maybe not…
    check out this:
    http://globalecology.stanford.edu/DGE/Dukes/JRGCE/home.html

  40. Timothy Chase Says:

    PS Response to Zeke Hausfather (#31) from #37

    One really good feedback to include which takes time to fully come into effect is the melting of ice, including polar sea ice. It is nice and visual. Melting will take years - as each summer will eat away at the ice a little more - and the increase in absorbed light will result in more melting until the long-term equilibrium is reached. This is included in the sensitivity to carbon dioxide doubling.

    However, by definition, we are not including feedbacks from the carbon cycle itself. For example, the release of methane from thaw lakes in Siberia or the reduced ability of the ocean and plants to absorb carbon dioxide. These will result in a higher long-term level of carbon dioxide than what we ourselves emit - and this is particularly important to keep in mind when comparing our artificial climate change which was is do to our driving the carbon/temperature feedback to the natural climate change of the past where it was an increase in temperature which drove the carbon/temperature feedback loop.

    This difference will increasingly become a factor the longer it takes for us to reduce our emissions.

  41. Tim McDermott Says:

    re 38:

    So, he wondered, is anyone aware of any calculations regarding what might happen if over a billion hydrogen powered cars were all operating and expelling water vapor? Would this cause an increase in GHGs that would rival the problems we see with CO2? What about local humidity rates, that sort of thing?

    The atmosphere is very good at regulating water vapor. Once you saturate water vapor in the air, adding more just gives you fog and rain. So the GW calculations would mostly fall in an area that is still under study, the effect of clouds. I think they still don’t have solid answers on clouds, even to the point of being able to say that they would be a net positive or negative feedback. Lots of particulars come in to play with clouds (cloud hight, time of day, etc)

    As to the effect of a billion hydrogen powered cars, if each emits the vapor equivalent of 10 liquid gallons per day(which seems high, but is useful for ease of calculation) then you have an extra 10 billion gallons of rain per day. By comparison, average US stream flow is 1,200 billion gallons per day (a USGS number). So there would be more rain, but not an overwhelming amount, globally. What that might do the local ecologies in places like Phoenix is another question, however.

  42. Timothy Chase Says:

    Andrew Varga (#39) wrote:

    Is rising CO2 level really good for farmers? Maybe not…
    check out this:

    http://globalecology.stanford.edu/DGE/Dukes/JRGCE/home.html

    By itself, increasing the level of carbon dioxide up to a point will be good for many plants. However, raising the temperature will result in heat stress, and raising the temperature will tend to result in water evaporating more quickly from the soil. This will become increasingly important in the US south west, then in the US south east. Additionally, it will change the precipitation patterns - with more rain falling close to where the evaporation takes place, namely the ocean.

    Then as glaciers disappear, it will result in less glacier runoff. In this case a good example would be the six major rivers of China which will dry up as the glaciers in the Himalayas disappear. These glaciers will be gone by 2100, resulting in a drastic reduction of agricultural output in the region - and will affect food prices worldwide.

    [Response: We’re getting rather off-topic here with this discussion of agriculture. Could we get back to saturation, water vapor, and perhaps feedbacks instead? –raypierre]

  43. Timothy Chase Says:

    raypierre (inline #42) wrote:

    Response: We’re getting rather off-topic here with this discussion of agriculture. Could we get back to saturation, water vapor, and perhaps feedbacks instead?

    Agreed. My apologies.

    [Response: No problem. People should feel free to bring up what’s of interest to them, and if things stray too far, one of us will just gently nudge the discussion back in the right direction. –raypierre]

  44. Alex Nichols Says:

    #35 The clearest statement in Motl’s essay that differs from Ray Pierrehumbert’s is his conclusion about C02 saturation: he argues that saturation would have already occurred by the time C02 doubled and the warming effect would be only 0.3C. Whereas R.Ph is saying that saturation will never be reached. Of course, waiting to find out who’s right isn’t an option, though I suspect that’s what Motl & Co want.

    One of his in-house regulars also dismisses the question of stratospheric C02 having any significance. From what I’ve read though, this has been studied from the 60’s onwards by aircraft and radiosonde studies and they’ve found increasing concentrations in the stratosphere. So I wonder what the real story is on this?
    A couple of obvious problems strike me with Motl’s arguments right away:-
    1) He seems to totally ignore the question of whether observed global warming has been less than predicted due to the oceanic absorption of C02 - which has been observed to be breaking down in the southern ocean.
    2) His observational evidence is virtually nil. He constantly excludes evidence of warming, while any tiny localised event that demonstrates cooling is seized upon as significant.
    At least he’s now admitting the “greenhouse effect” actually exists. If so, why doesn’t he discuss the evidence seriously?

    [Response: You don’t need to wait to find out who’s right. The lab spectroscopy measurements already show that the standard view (represented by my piece with Spencer and my technical addendum) is correct. The spectroscopy is simply not in question — this is absolutely standard stuff. That shows that the atmosphere isn’t even saturated in the sense thought of by Angstrom. As for the “thinning and cooling” argument, that is explained with crystal clarity using the analytic solution for a grey or semi-grey atmosphere, available many places (my book included). It only involves the solution to the simplest kind of first order constant-coefficient ordinary differential equation, which a string theorist like Motl should be quite capable of handling. Moreover,the “thinning and cooling” argument — that the brightness temperature depends only on the layer from which radiation escapes to the observer — is absolutely standard stuff in physics. The core of the Sun is some tens of millions of degrees. You don’t see that when you look at the sky, do you? The core of the Earth is several thousand degrees. You don’t see that when you look at the ground, do you? It would be incandescent if you did. You don’t see it because you see radiation at the temperature of the level from which the radiation can escape. It’s that simple. Atmospheric IR is no different. If you are used to the “photosphere” of the sun, just think of what we’re talking about as the “IRsphere” of the Earth. Same stuff. You can draw your own conclusions about why he doesn’t seem to be able to understand this stuff. –raypierre]

  45. W F Lenihan Says:

    Re Schmidt response to #15: Mr Schmidt should read the paper before shooting from the hip. Perhaps you can enlighten your readership as to why increased and diminished plant growth based upon CO2 concentration is unlikely. Are there other peer reviewed papers that show contradictory results? Real Climate is supposed to be a professional scientific weblog. Why not function like one?

    [Response: A modicum of politeness please. My comment was related to your last line about the prospects for CO2 levels lower than those of today. I do not need to know anything about plant growth to know that neither you nor I will see CO2 levels lower than today’s in our lifetime. Thus discussions about the fate of plants under those circumstances are, to say the least, moot. - gavin]

  46. Timothy Chase Says:

    W F Lenihan (#45) Re carbon dioxide and plant growth…

    See #42 but if you wish to consider continuing this topic, per #43 consider a different thread as a matter of courtesy to the authors of the current essays.

  47. Andy Lacis Says:

    Ray, your explanation to the first question raised in comment 6 (as to why the stratosphere cools while the troposphere warms when atmospheric CO2 concentration increases) is a bit off-target and incomplete.

    The main cause for the stratospheric cooling & tropospheric warming effect is really due to the “split spectrumâ�� nature of the terrestrial atmosphere, i.e., there is a “window” region in the 10 micron vicinity with little opacity, while there is very strong opacity (due to CO2) in the 15 micron region.

    In a simple grey-opacity greenhouse model, as atmospheric opacity is increased, the greenhouse effect causes to surface temperature to increase. If the atmospheric opacity is very small, the ratio of the local temperature at the top of the atmosphere (TOA) to the local temperature at the bottom of the atmosphere (BOA) will be near unity. As the atmospheric opacity increases, the atmospheric temperature gradient will increase, and TOA/BOA temperature ratio will decrease, going to zero as atmospheric opacity (and surface temperature) approach infinity.

    With the crude grey-opacity model, as the atmosphere becomes more and more opaque, the top of the atmosphere has to maintain a local temperature that is equal to the effective radiating temperature in order to maintain energy balance with the absorbed solar radiation. Thus there can be no real stratospheric cooling with the grey-opacity model while the troposphere continues to warm as CO2 is increased.

    But with a more realistic radiative model (one that properly accounts for the atmospheric window region), the ground surface can radiate directly to space within the 10 micron window region. In this case, when CO2 is increased, the greenhouse effect will warm the surface temperature (and increase the radiative flux that is emitted directly from the ground to space), and the stratosphere will cool because it is being shielded more strongly from upwelling radiation from below by the increased opacity in the 15 micron region. Thus, energy balance with absorbed solar radiation will be maintained by an increase in 10 micron spectral flux (from the ground) and a corresponding decrease in 15 micron spectral flux (from the stratosphere).

    [Response: There are no end to wrinkles on this problem of stratospheric cooling, and of course there are a whole lot of things going on in the stratosphere. The mechanism I outlined does work in simple models, but I do appreciate the additional insights. Clearly, the stratospheric emission has to be in a limited wavenumber band if you’re going to get the cooling while still respecting the planetary radiation balance. In my book I describe the split-spectrum issue as well as the absorption/emission issue, but I couldn’t figure an easy way to explain that in a comment. Hopefully your explanation will be of some use to our readers. I’m not sure I entirely agree with you regarding your comment on the grey-opacity case, if you include the effects of upper level solar absorption. That’s apt to take us into technical issues that may not be of interest to the readers, so we can pursue that elsewhere. –raypierre]

  48. Alex Nichols Says:

    #44 “You can draw your own conclusions about why he doesn’t seem to be able to understand this stuff”

    Don’t worry, I drew those conclusions some time ago.
    Some telling points in your last comment.

  49. Ike Solem Says:

    Just to clarify, there don’t seem to be separate estimates for the doubling CO2 climate sensitivity for the case without water vapor feedback. The uncertainties in the climate sensitivity estimates (1.7-4.5 C) are related primarily to the strength of the water vapor feedback and the role that clouds play. If the global sensitivity of 3C, then it seems certain that all of Greenland will melt, though it make take a thousand years to do so, or a hundred. That will raise sea levels 7 meters, right? The fastest recorded rate of sea level rise in the past is 3-4 mm/year, or 3-4 meters/century. Global warming is accompanied by polar amplification processes, as well.

    Here’s an interesting question: suppose we halted all CO2 emissions today. What would be the equilibrium sea level rise for that case? How long would it take to occur?

  50. Phillip Shaw Says:

    Ike,

    You made a small math error. 3 - 4 mm/yr equates to 0.3 - 0.4 meters/century. I’m concerned that we may see 30 - 40 mm/year in our lifetime, but we haven’t seen it yet.

  51. DaveS Says:

    In response to:

    Turbulence due to convection (a form of heat transfer due to warm parcels of air rising and cool ones falling) keeps the troposphere well mixed. –Barton Paul Levinson

    …and…

    The concentration is higher in the stratosphere. And we have known this since 1969. –Timothy Chase

    Well, the Georgii quote you(Timothy) provided said quite the opposite, and that there was a decrease in CO2 ppm moving upward and that it was not consistently mixed: “The marked decrease of the CO2 concentration in the lower stratosphere compared with the upper troposphere suggests that, contrary to previous practice, it is wrong to assume a constant mixing-ratio of CO2 in the troposphere and stratosphere.”

    But I was more curious as to whether there was a smooth, linear decrease with altitude rather than with a sudden drop.

    [Response: There’s a detectable drop in CO2 as you go into the stratosphere from the troposphere, because it takes some time to mix it upward. There’s also a detectable interhemispheric difference in mixing ratio in the troposphere. These are all very interesting for what they tell us about mixing and about sources and sinks, but the variations in mixing ratio are too small to be of much importance for radiative transfer. –raypierre]

  52. John Mashey Says:

    re: #32
    Money certainly helps, but that’s ill-informed about farming, because cost-effectiveness matters, a lot.

    But, this leads me to a question/suggestion for RC: given the highly multi-disciplinary nature of climate science, maybe it would be good to recruit an expert guest poster who could talk about the intersection of climate science with agricultural/bioscience research/ag engineering, etc …

    For instance, my alma mater Penn State has a large College of Agricultural Sciences: http://www.cas.psu.edu/
    Maybe Prof. Mann knows somebody relevant there.

    5 minutes’ rummaging found “Predicting Pests”:
    http://aginfo.psu.edu/PSA/07WinSpr/Pests.html

    “entomologist Dennis Calvin and his research team look at how climate and weather influence the timing of insect emergence in field crops.”

    “Asian soybean rust… needs green soybeans or kudzu leaves to grow, and therefore it can survive only in the deep South, where winters are warm…We speculate that in years when the deep South has a warm and wet spring, this pathogen will be a serious widespread problem.”

    Here in CA, UC Davis is quite strong, and there are of course many schools with fine programs, as many American land-grant universities started as ag schools, and many bioscience and environmental departments have some heritage there. Really, agricultural research is way beyond “throw infinite money at the problem”, which doesn’t work.

    Anyway, we should keep biology out of the physics discussions, but maybe a little more well-informed biology discussions would be relevant to RC?

  53. Robert H. Essenhigh Says:

    Regarding this (5th. paragraph) action summary =>

    “What happens to infrared radiation emitted by the Earth’s surface? As it moves up layer by layer through the atmosphere, some is stopped in each layer. To be specific: a molecule of carbon dioxide, water vapor or some other greenhouse gas absorbs a bit of energy from the radiation . . . (so that) . . . the layer of air where it sits gets warmer. The layer of air radiates some of the energy it has absorbed back toward the ground, and some upwards to higher layers. . . . Eventually the energy reaches a layer so thin that radiation can escape into space.”

    —- I’m a little surprised that there is no mention of the governing equations for this absorption/re-radiation: the (1905/06) Schuster-Schwartzchild Equations of Transfer.

    I have an evalaution set out in this article => Essenhigh, R.H.: Prediction of the Standard Atmosphere Profiles of Temperature, Pressure, and Density with Height for the Lower Atmosphere by Solution of the (S-S) Integral Equations of Transfer and Evaluation of the Potential for Profile Perturbations by Combustion Emissions. Energy and Fuels: 20, 1057-1066 (2006)

  54. Timothy Chase Says:

    DaveS (#51) wrote:

    The concentration is higher in the stratosphere. And we have known this since 1969. –Timothy Chase

    Well, the Georgii quote you(Timothy) provided said quite the opposite…

    Sorry - I was in a hurry - at work at the time.

    Something slightly more recent…

    Here we report mid-latitude vertical profiles of CO2, up to 35 km, measured in 1979, 1982 and 1984 by analysing cryogenically collected balloon samples supplemented by air samples taken aboard aircraft. CO2 mixing ratios are not constant with altitude but rather decrease by 7 p.p.m.v. (parts per 10^6 by volume) from the tropopause to the mid-stratosphere.

    Increased concentration and vertical distribution of carbon dioxide in the stratosphere (abstract only)
    W. Bischof, R. Borchers, P. Fabian & B. C. Kruger
    Nature 316, 708 - 710 (22 August 1985)
    http://www.nature.com/nature/journal/v316/n6030/abs/316708a0.html

    In this context, “roughly constant” or well-mixed would seem to be a good approximation - as ppm would have been above 300 ppm, I presume, and we are speaking of its effects being logarithmic.

    Then the make the same point that raypierre made regarding the lag:

    The growth rate of the atmospheric CO2 abundance caused by anthropogenic emission, which varies between 1.0 and 1.5 p.p.m.v. yrâ??1 at ground level1, is also observed at all stratospheric heights up to 35 km. The shape of the profiles suggests that excess CO2 above 20 km enters the stratosphere through tropical upwelling rather than mid-latitude diffusion. The time lag of this height region with respect to the tropospheric CO2 level is 5 yr.

    Five year lag - through tropical upwelling.

    Anyway, my apologies about quoting abstracts on this topic, but this doesn’t seem to be a “hot topic” anymore, and abstracts are all I have. (I am not in the field, but work as a coder for software that tracks cell phone network performance.)

  55. Alfy Says:

    Couple of questions. First, can you show (on the graph in Part 2) the lines for 8x and 16x increases in CO2? That would go very far in clarifying the nature of the relationship.

    Second, is it true that heat is radiated from atmospheric GHG molecules at different wavelengths than it was aborbed? If so, how does this affect the how the radiated energy is absorbed by other molecules? Is the difference constant or does it vary by some other factor?

  56. Marion Delgado Says:

    #33 Barton Paul Levnson:

    If memory serves me, Henry Bauer said one of Immanuel Velikovsky’s early forays into science involved him assuming that gases were stratified by molecular weight, and a fairly stubborn refusal to accept correction on the issue :)

  57. Furia Fubar Says:

    This is great, as a recent Science article raised the issue, or complaint, that IPCC global warming models did not address the stratosphere but only the troposphere. What would be the difficulties in amending those models to include activity in the stratosphere?

    [Response: Almost all the models have a stratosphere of some sort, though there are not generally enough points in the stratosphere to satisfy professional stratospheric dynamicists. Probably the article was complaining not so much about the modelling itself as the degree of attention paid to the influence of what is going on in the stratosphere. As long as you’re not talking about adding in chemistry, most models can improve their representation of the stratosphere simply by adding in more points in the vertical, which isn’t even that expensive computationally. The relative importance of stratospheric processes in tropospheric climate change is a matter of some debate. –raypierre]

  58. DeWitt Payne Says:

    There is different band saturation argument going around. This argument goes, if I understand it correctly, that the rate of energy transfer for CO2 is saturated. I think that means that the ratio of transmitted radiation to incident radiation isn’t constant as a function of incident radiation intensity at the levels present in the atmosphere because CO2 can’t transmit energy fast enough either by collisional deactivation or emission. My gut feeling is that this is total BS because I suspect the energy density in a basic IR spectrometer is orders of magnitude higher than that from the surface of the earth, and I don’t think Beer’s Law is violated then. Are you familiar with this argument and is there a quick and dirty answer?

    [Response: I hadn’t heard this argument before, but your gut feeling is right. Laboratory spectroscopy that is used to feed the HITRAN archive is done in conditions similar to those prevailing in the atmosphere, and if there were some problem of the sort you mentioned, it would be seen already in the spectrometers. –raypierre]

  59. Peter Williams Says:

    Very interesting. Thanks for exposing yet another gimmick.

    Thing is, it doesn’t matter that it’s wrong, so long as it’s convincing enough that you can manufacture a public sense of uncertainty about the basics of the greenhouse effect.

    A two-layer (surface and core separated by opaque gas) model for the Sun doesn’t work too well either, but nobody would be crazy enough to suggest that it should. On the other hand, it is well-known and established for the better part of a century that changing opacities in one place can have profound effects on conditions elsewhere (such as the core). There’s nothing controversial about it, but then again, there’s no big corporate interest trying to persuade us that we got our rad transfer all wrong in that case.

  60. Peter Williams Says:

    Hey, I checked out Lubos Motl’s page - He’s clearly a very smart person, but he should stick to stuff he knows. Typical theorist.

    Notice that Motl doesn’t actually set up a model with multiple layers and numerically solve the radiative transfer problem; he’s really just doing a back-of-the-envelope calculation. String theorists as a rule tend to think that if you can’t solve something analytically it’s not worth solving.

    I try to avoid ad hominem, but geez, it really is awfully smarmy to bash Weart with a statement like “It is not that difficult and a good physicist knows how to solve the differential equations that arise in this context.” (re the effect of many layers of CO2, versus a simple one-layer model), AND THEN not to bother either to write down the relevant differential equations, much less solve them! Talk about being a hypocrite! I know some theorists think that if it’s not Yang-Mills or twistor theory then it’s mathematically trivial, but hey Motl, perhaps you could pick up a copy of Chandrasekhar or Mihalas & Mihalas and go teach yourself some plane-layer radiative transfer methods before you go off making such a fool of yourself again. Yes, you do in fact need to know more than just the total column density of CO2, unless you just like to solve Fermi problems.

  61. Mark R Says:

    This is a little bit off-topic, but perhaps not. At glacial maximum, with the oceans three hundred feet lower, is there any effect on the atmosphere? At the Dead Sea, I’ve heard that the atmosphere is much denser, but that is an isolated pocket. Is there any correlation between global climate and sea level?

  62. Barton Paul Levenson Says:

    [[A quick question: I occasionally run into the argument that the 0.7 degrees C warming observed as CO2 levels have increased from 273 ppm to 383 ppm suggests a lower climate sensitivity, because we are already 40% of the way to a doubling of pre-industrial CO2 levels and we would expect greater radiative forcing changes to occur from the initial addition of CO2 given the relationship between CO2 and wavelength absorption described in this post.
    The obvious answer is that we are not currently at the “equilibrium” temperature that would accompany a 383 ppm CO2 concentration due to the thermal inertia of the ocean, but am I missing anything else? Also, is there a good chart available of the best guess equilibrium temperatures associated with different levels of CO2?
    ]]

    The argument assumes that there are only two factors involved, CO2 and temperature. In reality several factors are involved. Negative forcings like sulfate aerosols and volcanic eruptions have caused some cooling. The point you raise is also valid; some of the warming is still “in the pipeline” and will show up (is already showing up) in the future.

  63. Barton Paul Levenson Says:

    [[So, he wondered, is anyone aware of any calculations regarding what might happen if over a billion hydrogen powered cars were all operating and expelling water vapor? Would this cause an increase in GHGs that would rival the problems we see with CO2? What about local humidity rates, that sort of thing?]]

    It wouldn’t matter, because water vapor rains out quickly, on average in 9 days, whereas CO2 stays up an average of 200 years.

  64. Mike Donald Says:

    #63

    Been wondering whether to post this as it sounds like I’m a snide sceptic but a billion H2 powered cars continuously emanating water vapour? Not taking a break for 9 days? Ah well, answering my own question, if it did become a problem I suppose the WV could be condensed at source.

    Keep posting Barton as I do look out for yours.

  65. Dick Veldkamp Says:

    Re #63 A billion cars producing H20

    I can see that there would be no problem with H2O, but what about leakage of hydrogen on a massive scale?

  66. Sam Says:

    RE 62: “The point you raise is also valid; some of the warming is still “in the pipeline” and will show up (is already showing up) in the future.”

    The point is frequently made that the oceans delay atmospheric temperature rise, so that the rest of the expected air temperature increases are in the pipeline and will be coming shortly. This is logical as the atmosphere is well mixed and in contact with the ocean. I live near the cold ocean in the Gulf of Maine and can attest to the cooling impact it has on air temperature. We also are well aware of the 800 to 1,000 year “delay” in the co2 response to air temperature as depicted in the long-term ice core data. The thought there being that co2 is released from the ocean as the ocean warms, but it takes 800 to 1,000 years to fully warm. My question is: Is the warming that is in the pipeline going to take 800 to 1,000 years to play out? If so, it does not appear to be a significant factor in the warming to occur this century. I have never seen an estimate of the delay relative to this century.

  67. Timothy Chase Says:

    Sam (#66) wrote:

    We also are well aware of the 800 to 1,000 year “delay” in the co2 response to air temperature as depicted in the long-term ice core data. The thought there being that co2 is released from the ocean as the ocean warms, but it takes 800 to 1,000 years to fully warm. My question is: Is the warming that is in the pipeline going to take 800 to 1,000 years to play out? If so, it does not appear to be a significant factor in the warming to occur this century. I have never seen an estimate of the delay relative to this century.

    The following should give you a few figures. For example, according to our calculations, 50% of the temperature rise should occur within the first twenty-five years.

    The model has sensitivity 2.7oC for doubled CO2 when coupled to the Q-flux ocean (Efficacy, 2005), but 2.9oC when coupled to the Russell et al. (1995) dynamical ocean. The slightly higher sensitivity with ocean C became apparent when the model run was extended to 1000 years, as the sea ice contribution to climate change became more important relative to other feedbacks as the high latitude ocean temperatures approached equilibrium. The 2.9oC sensitivity corresponds to 0.7oC per W/m2. In the coupled model with the Russell et al. (1995) ocean the response to a constant forcing is such that 50% of the equilibrium response is achieved in 25 years, 75% in 150 years, and the equilibrium response is approached only after several hundred years. Runs of 1000 years and longer are available on the GISS web site. The modelâ??s climate sensitivity of 2.7â??2.9oC for doubled CO2 is well within the empirical range of 3 +/-1oC for doubled CO2 that has been inferred from paleoclimate and other observational evidence (Hansen et al., 1984, 1993; Hoffert and Covey, 1992; Annan and Hargreaves, 2006).

    pg. 2289

    Dangerous human-made interference with climate: a GISS modelE study
    Hansen, et al.
    Atmos. Chem. Phys., 7, 2287â??2312, 2007
    http://pubs.giss.nasa.gov/docs/2007/2007_Hansen_etal_1.pdf

  68. Barton Paul Levenson Says:

    [[I can see that there would be no problem with H2O, but what about leakage of hydrogen on a massive scale?]]

    Might be a fire hazard in the immediate vicinity, I suppose.

  69. Barton Paul Levenson Says:

    [[The thought there being that co2 is released from the ocean as the ocean warms, but it takes 800 to 1,000 years to fully warm. My question is: Is the warming that is in the pipeline going to take 800 to 1,000 years to play out? If so, it does not appear to be a significant factor in the warming to occur this century. I have never seen an estimate of the delay relative to this century. ]]

    I think the release in a normal deglaciation takes that long because the temperature changes that drive it take that long — the slow changes in Earth’s orbit and axial tilt that drive ice age/deglaciation cycles. In the present case, we’re warming up the Earth many times faster than that, so we could have problems with ocean-released CO2 much faster.

  70. Jim Galasyn Says:

    Re #65:

    I can see that there would be no problem with H2O, but what about leakage of hydrogen on a massive scale?

    I read a report a couple of years ago claiming that H2 is an ozone-destroying molecule, so if the “hydrogen economy” emerges, it will wreck the ozone layer.

  71. pete best Says:

    Is lubos Motl actually a real scientist or a highly educated politically motivated scientific activist ?

    He seems to pretend to know but does he know ? Being based at a prestigous university you would conclude that he was a intelligent and objective individual but he sound somewhat politically motivated to me.

  72. Nick Gotts Says:

    Re #67. The reference is:

    Potential Environmental Impact of a Hydrogen Economy on the Stratosphere
    Tracey K. Tromp, Run-Lie Shia, Mark Allen, John M. Eiler, Y. L. Yung
    Science 13 June 2003: 1740

    Abstract:
    “The widespread use of hydrogen fuel cells could have hitherto unknown environmental impacts due to unintended emissions of molecular hydrogen, including an increase in the abundance of water vapor in the stratosphere (plausibly by as much as ~1 part per million by volume). This would cause stratospheric cooling, enhancement of the heterogeneous chemistry that destroys ozone, an increase in noctilucent clouds, and changes in tropospheric chemistry and atmosphere-biosphere interactions.”
    This abstract is available, with some references to the article, at:
    http://www.sciencemag.org/cgi/content/abstract/300/5626/1740

    The authors apparently admit the effect described depends on how much H2 would get absorbed into the soil. Critics say they greatly overestimated likely leakage rates. I suspect the whole question is moot because of the infrastructural costs of switching to hydrogen-fueled cars - either plug-in-anywhere hybrids, or battery-driven cars with battery-swap stations are probably better bets. Less private car use even better.

  73. Alex Nichols Says:

    # He is a real scientist and a quite talented one, but on his site, describes himself as a “reactionary physicist”.
    It seems to have all started when the former Dean at Harvard, Laurence Summers was replaced for making statements to the effect that women weren’t as good at science as men and not supporting positive action on entry to courses.

    Motl painted himself into a bit of a corner by supported Summers and has adopted increasingly ‘politically incorrect’ statements ever since. I thinks he’s nearly applied 16 coats by now.

    He’s been described as the “string enforcer” by certain elements in the physics community, who find his method of debate a bit over the top. He’s usually regarded as a bit of a troll on their web sites nowadays.

    I’m not sure of his current relationship with Harvard University, but he seems to be devoting an awful lot of time to supporting the denialist camp in the AGW debate.

    Heaven only knows why…

  74. Timothy Chase Says:

    Barton Paul Levenson (#68) wrote:

    [[I can see that there would be no problem with H2O, but what about leakage of hydrogen on a massive scale?]]

    Might be a fire hazard in the immediate vicinity, I suppose.

    There exist materials for the safe storage of hydrogen in relatively compact space. I could look this up a little later if nobody beats me to it. Additionally, hydrogen burns at a lower temperature than gasoline - and it does tend to float and get dispersed by the wind rather than pool at the surface or remain on one’s clothes while it burns.

  75. Nick Gotts Says:

    Re my #72: sorry, when it says “Re #67″ it should say “Re #70″.

  76. Jim Galasyn Says:

    Re #72,

    Thanks for digging up that citation, Nick!

  77. SecularAnimist Says:

    Timothy Chase wrote: “There exist materials for the safe storage of hydrogen in relatively compact space.”

    Here is an example from ECD Ovonics, who also manufacture thin-film amorphous silicon photovoltaics:

    We are developing a new, practical approach to storing hydrogen in a safe and economical manner. Using our proprietary, atomically engineered materials technology, ECD Ovonics has developed a family of new, efficient metal hydrides which store hydrogen in a solid metal matrix at low, practical pressures.

    Proprietary ECD Ovonics metal hydrides are alloys that are specifically formulated according to new principles to absorb hydrogen much like a sponge absorbs water. When hydrogen is absorbed, it bonds to the metal alloy, releasing heat. Conversely, when heat is absorbed, the alloys release hydrogen to a fuel cell or internal combustion engine (ICE) which can subsequently power a broad range of commercial applications. By using ECD Ovonics atomic engineering principles, materials can be tailored over a wide range of pressures and temperatures to meet the performance parameters of a particular application.

    Ovonic metal hydrides offer an essential solution to overcoming the intermittency concerns of renewable power systems. Since metal hydrides store hydrogen at low pressure, they can accept hydrogen directly from an electrolyzer. Coupled with renewable sources, such as Ovonic multi-junction photovoltaic products, a hydrogen co-generation system can store energy in the form of hydrogen for later use when the renewable source is not available, or when extra power may be needed for load-leveling purposes.

  78. Rod B Says:

    My memory and knowledge are fuzzy, but I have a couple of questions on H2-powered vehicles I need clarifying. To be effective doesn’t the H2 need to be manufactured on board as needed from hydrocarbons, and isn’t that process currently too slow, energy intensive, and cumbersome for that? If pure H2 is stored (in liquid form??) on the vehicle it seems the fire/explosive hazard would be prohibitive, but, more significantly, wouldn’t the “gas tank”, to handle the high pressure, need 2-4 tons of thick high-grade steel? Wouldn’t all of this make H2 a non-starter? Or am I way behind the times and science?

  79. Walt Bennett Says:

    I find it somewhat amusing that the arguments espoused by denialists today were effectively scuttled half a century ago. It seems more and more true that some skeptics, to quote Gavin regarding Dr. Lindzen, are fighting yesterday’s battles. This article brings that comment into detailed relief.

    This is exactly where RealClimate can make a difference, by posting clear, well-developed and well cited explanations in laymans’ terms, which in some cases such as this directly address specific skeptic arguments, and which allow interested “civilians” the opportunity to satisfy themselves that this isn’t all just “guesswork”, and that perhaps there is substantive reason to believe that we can be highly confident of global temperature forecasts.

    Of course, there is still much more ground to cover, such as: how do we know precisely how much CO2 is abosrbed by the oceans; when will saturation occur there; what will the short and long term effect be on climate based on that process. Also needing better explanation: does the planet “react” to the greater presence of CO2 and “make use of it”? In other words, is the carbon cycle expanding? Is that even a coherent question?

    This article is potentially historically important because it sets a tone for further discussion. I can easily envision it as part of a series, a primer which covers the basic issues with regard to AGW and which does so in a simple yet reliable way.

    Bravo.

  80. Ender Says:

    The problem I have is that a Havard string theorist like Lubos http://motls.blogspot.com/2007/06/realclimate-saturated-confusion.html

    can write a plausible critique of your work and people will accept it because he is a scientist. Now how do I know who is correct? With my lack of qualifications in any of the disciplines how do I know what is the correct science?

    In reading the two articles I do notice one striking difference. The RC article from Spence and Ray includes copious references to other people’s work and includes no implied or otherwise insults to other researchers.

    Lubos on the other hand, as I read it, seems to think that just because he can understand differential equations that he is correct and everyone else is wrong. Lubos in following comments also disparages consensus as being weak however to me other people confirming what you are saying with peer reviewed work is a sign, at least to a layperson such as myself, that you have a greater chance of being correct.

    The radiation budget of the Earth is a very difficult subject and contains many non obvious traps for beginners that I thing even a string theorist can fall into. Just because you understand strings does not mean that the subject of radiation is easy.

    Again thank you Spencer and Ray for your contribution to helping the understanding of science challenged people such as myself. I know which one has the greater chance of containing at least what truth we know of with our present knowledge.

    [Response: Your warm words are very encouraging. Thanks so much. Spencer deserves all the credit for initiating this article,and without his clear prose and historical perspective it would not have been nearly as effective at communicating the things that needed to be said. –raypierre]

  81. Steve Says:

    One reason this debate can be hard to follow is that there’s a lack of explicitness as to what you are and are not arguing. In particular, if I’m reading right, you’re *not* disagreeing with the claim that each additional carbon dioxide molecule makes less of a contribution to warming than the one before (at least, putting aside potential non-linear positive feedbacks unrelated to radiation). Indeed, my Harvard “atmospheric physics” professor explicitly made this claim while lecturing on radiative transfer, so I presume it’s uncontroversial.

    [Response: That’s right. That’s completely uncontroversial, and the effect is incorporated in every radiation model at least since Manabe, and more probably since Plass. If it weren’t for this effect, there probably wouldn’t be any habitable planets at all, since modest fluctuations in CO2 would lead to lethal swings in climate –raypierre]

    You *are*, however, disagreeing with the claim that each additional carbon dioxide molecule makes no contribution to warming whatsoever. But is any serious source actually making that argument? Lubos Motl, for example, is not. (Of course, in characteristic “Lubos” fashion, the lack of a concrete disagreement hasn’t stopped him from enthusiastically insulting your intelligence :-D)

    [Response: It’s often quite hard to tell just what Motl is saying, and frankly I don’t waste much time paying attention to his blog. Others report that he seems to be claiming that the warming effect of CO2 will saturate before long, and that claim certainly resurfaces from time to time among the skeptics community. I myself thought the argument had died out completely, but Spencer reports that on his blog he had been getting repeated questions about saturation. Anyway, it’s irrelevant what Motl thinks, since this post is not a response to anything in Motl’s blog, regardless of what Motl says. I wasn’t even aware that he had written anything about this subject until I saw his blog show up on the Technorati blog-response tracking for our post. –raypierre]

  82. Dick Veldkamp Says:

    Re #68, #72, #77 and others: H2-economy

    Thanks you all for your answers.

    I was not that concerned about explosion hazards: I remember a Dutch study where it was shown that as far as cars were concerned H2 did not have to be more dangerous than gas (= LPG/LNG), which was in use already.

    It seems we have to be more concerned about the destruction of the ozone layer (again) by leaking H2.

    All this quite apart from the fact that H2 is NO energy source and hence no magical cure for our energy problem.

  83. Alan K Says:

    #60 “He’s clearly a very smart person, but he should stick to stuff he knows. Typical theorist.”

    And here we have a quote: “Although I consider myself primarily a theoretician…” from none other than our esteemed co-author.
    sorry couldn’t resist!

    [Response: I myself wouldn’t describe Motl’s distortions as being in any way typical for a theorist. Of course, any good theorist needs to have a very sound understanding of data. I also don’t think it’s a matter of sticking to things one understands. The kinds of physics we are talking about are easily understood, on a full quantitative level, by anybody with an undergraduate physics degree, or indeed with high-school AP physics. On a sound non-quantitative level, they can be understood more broadly. A person with Motl’s background should be able to comment intelligently about these issues, but when somebody with the capability to understand the system fails to do so, there’s something rotten in Denmark.

    Somebody earlier raised the question of how to know which authority to believe. It’s perfectly valid to look at what institution a person was hired at, and ordinarily being hired by the Harvard physics department should lend some weight to ones opinions about things in physics. Even Harvard makes mistakes, though (and the word on the web is that this particular mistake may be in the process of rectifying itself), so one must look beyond just a person’s pedigree. A good place to start is to look at what people have published, in what journals, and how recently. Peer judgment is also worthwhile, so looking at what panels a person has served on is useful. In the end, while some things need to be accepted on authority, there’s really no substitute for actually understanding the scientific arguments, and in a democracy, it’s incumbent on scientists to try to make the arguments comprehensible enough that one doesn’t need to lean too much on pure authority. –raypierre ]

  84. Florifulgurator Says:

    I’m not sure if Lubos isn’t a Sokalian hoax. Has anybody seen him in reality?

  85. stuart Says:

    My memory and knowledge are fuzzy, but I have a couple of questions on H2-powered vehicles I need clarifying.

    I believe Iceland have had H2 powered vehicles and infrastructure for several years, you could probably check out the problems and solutions they have achieved in the last decade or so. Probably getting a bit off track here to go into any details though, and its not hard to find information on it.

  86. Lynn Vincentnathan Says:

    Good explanation that even non-scientists can understand.

    I think it’s interesting the contradictory arguments denialists make. On the one hand they say the atmosphere is saturated with CO2 & H20, so no GW, and on the other they say how can something as small as a few parts per million make any difference? I’ve seen denialists who make both arguments simultaneously.

    Then some go on from “GW is not happening” to “it’s happening, but it’s good for us…warming helps agriculture.” They are all over the board.

  87. Hans Erren Says:

    “Moreover,the “thinning and cooling” argument — that the brightness temperature depends only on the layer from which radiation escapes to the observer — is absolutely standard stuff in physics. The core of the Sun is some tens of millions of degrees. You don’t see that when you look at the sky, do you? The core of the Earth is several thousand degrees. You don’t see that when you look at the ground, do you? It would be incandescent if you did. You don’t see it because you see radiation at the temperature of the level from which the radiation can escape. It’s that simple. Atmospheric IR is no different. If you are used to the “photosphere” of the sun, just think of what we’re talking about as the “IRsphere” of the Earth.”

    There is one big problem with this concept: the photosphere of the earth contains huge windows from which IR can directly escape from the surface, That is also the reason why deserts cool so fast at night. You can see the surface of the earth in the infrared thermal window.

    [Response: The concept is fine if you apply it in individual wavelength bands. The “photosphere” for 6 micron IR is at a different height from that for 15 micron IR. –raypierre]

  88. Alastair McDonald Says:

    Re #81 Where Ray wrote:
    [Response: That’s right. That’s completely uncontroversial, and the effect is incorporated in every radiation model at least since Manabe, and more probably since Plass. If it weren’t for this effect, there probably wouldn’t be any habitable planets at all, since modest fluctuations in CO2 would lead to lethal swings in climate –raypierre]

    It is not completely uncontroversial. I am arguing that because it is saturated (optically thick) then adding more CO2 will cause the saturation to be closer to the surface. This means that the surface warming due to CO2 will increase in direct proportion to the CO2 concentration, rather than with the logarithm of the concentration as the current models predict.

    Twixt Plass and Manabe, Fritz Moller found “almost arbitrary temperature changes” and that “Very small variations [in water vapour feedback would] effect a reversed sign or huge amplification. We know that the atmosphere does not react in this way.” However, since Moller wrote that, we now know that rapid climate change does happen, and that Venus has suffered a lethal swing in climate!

  89. ray ladbury Says:

    Re 80: Ender, I don’t see how there can be any question. Motl may or may not be a brilliant string theorist, but he is not an expert on climate, on infrared spectroscopy or any other field relevant to these studies. I am a physicist, too. You want to know about radiation, I’m your guy. I can get by in discussing semiconductors, the space environment, spacecraft design, manufacture of electronics… Here, I am a rank amateur. The fact that I’m a physicist and have solved the hydrogen atom and harmonic oscillator problems helps. And the fact that I’ve looked at how energy lines in atoms become energy bands in solids has been invaluable in seeing how the behavior of CO2 as a gas behaves differently than a single CO2 molecule. But the point is that I have made a significant effort in recent years to understand these things. I suspect Professor Motl has not. Certainly, it is not reflected in his arguments, which are naive. Science places great value on expertise. The opinions of a scientist usually carry little weight in scientific circles where that expertise does not extend. Motl’s arguments matter about as much as flatulence in a windstorm.

  90. Timothy Chase Says:

    PS to my post above…

    If you are looking at the wavelengths, the peaks are at 20 mu-m, 22.5 mu-m and 25 mu-m, which I presume are exactly what you would expect.

    People can check this for themselves.

    [Response: Yes, infrared spectroscopists generally work in wavenumber in units of (1/cm). In the Part II graphs I plotted things as a function of wavelength instead, since I figured wavelength is a more familiar quantity. –raypierre]

  91. Maurizio Morabito Says:

    RE: #81

    raypierre (and Spencer)

    Steve asked “You *are*, however, disagreeing with the claim that each additional carbon dioxide molecule makes no contribution to warming whatsoever. But is any serious source actually making that argument?”

    Is any serious source actually making that argument?

    I myself do not, but still as climate sensitivity is given in degrees per doubling of CO2, would find it more to worry about the CO2 that is already out there, rather than any we are going to emit in the future.

    Perhaps that’s the point that get oversimplified when people casually suggest that “saturation” has been reached.

  92. Hank Roberts Says:

    Alastair, when Ray writes “uncontroversial” I would guess Ray likely means “uncontroversial in published science on the subject” —- why not write the paper you’re promising? If you do the math and do change the opinion of contemporary physics on this question, that will elevate your belief above the many handwaving arguments, political statements, and other opinions that get dropped in here by nonscientists. Without the math, none of those are ‘controversy’ on the scientific question, eh?

  93. James Says: