Open Mind

A (brief) Tale of Three Sites

August 7, 2008 · 25 Comments

There’s been quite a bit of discussion about CO2 data lately. Most of it has centered around Anthony Watts’ nonsense and the recent revision to the Mauna Loa monthly averages. What’s been lacking is a look at what the data are telling us about the changing CO2 concentration of the atmosphere. So let’s take a “quickie” look at monthly average CO2 data from three different locations: Mauna Loa, Barrow (Alaska), and South Pole station.

Most of us have seen the graph of Mauna Loa CO2 data:

Superimposed on the steady increase of CO2 is an annual cycle of ups and downs. Data from Barrow, Alaska don’t cover as much time, not starting until mid-1973. They do show a larger annual cycle than is observed at Mauna Loa, but the long-term increase is similar:

South Pole data start even later, in late 1975. For this location the annual cycle is smaller than observed at Mauna Loa. But again, the long-term trend is similar:

We can see how similar the long-term trends are by removing the annual cycle and smoothing the data (on a 3-year time scale):

Although the trends are remarkably similar, the actual values are slightly different. Barrow tends to have the highest values, South Pole the lowest, and Mauna Loa in between. Here’s the difference in the smoothed values between Barrow and Mauna Loa, and between Mauna Loa and South Pole.

The differences are indeed small, between 1 and 3 ppmv.

The most pronounced difference between these locations is the size of the annual cycle; we can get a better view by examing a brief 5-year time span of the data:

Obviously Barrow shows by far the largest annual cycle, South Pole by far the smallest, and again Mauna Loa falls in between. We can use a wavelet transform to estimate the amplitude of the cycle (actually, the amplitude of a best-fit sinusoid to the data). Here’s the semi-amplitude, which is just half the amplitude:

There’s another important difference. For Barrow and Mauna Loa, CO2 concentration peaks during northern hemisphere winter/spring but for South Pole it peaks about six months later, during northern hemisphere summer/autumn.

This pretty thoroughly refutes an idea which some (who don’t really know what they’re talking about) have suggested, that the changes we’ve observed in CO2 concentration are due to changes in ocean temperature. Even the annual cycle, so they say, is due to ocean temperature changes, specifically that it’s controlled by temperature changes in the southern oceans. The argument is that during northern hemisphere summer it’s southern hemisphere winter, so the bulk of the oceans (which lie in the southern hemisphere) are cooler than during the opposite seaons, and due to the increased solubility of CO2 in colder water they draw CO2 from the atmosphere and reduce the global average atmospheric CO2 concentration. Six months later the seasonal cycle is reversed and the warmer southern hemisphere oceans release CO2 back to the atmosphere — hence the annual cycle in CO2. By tying CO2 changes to temperature change in the southern oceans, they hope to persuade people that it’s not human activity that’s the cause of CO2 increase, it’s temperature change.

But the observed data flatly contradict this. For one thing, Barrow is further from the southern oceans than Mauna Loa but shows a much larger annual cycle. But mainly, the South Pole is on a continent surrounded by the southern oceans, but its annual cycle doesn’t follow the prescribed pattern, it’s the opposite.

In fact the annual cycle in CO2 concentration is due to the uptake of CO2 by land plants during the growing season, and its return to the atmosphere when plant matter decays in the opposite season. That’s why it shows opposite phase in the two hemispheres — because the growing seasons are reversed in the two hemispheres. It also explains why the cycle is so much smaller in the south; there’s far less land in the southern hemisphere, so there are far less land plants to cause an annual cycle of CO2 changes.

I can understand why some people disbelieve in anthropogenic global warming; climate change is a complex subject and there’s a lot of cleverly crafted propaganda denying it. But those who disbelieve that humans are the cause of atmospheric CO2 growth have to go to great lengths to avoid seeing, or believing, the absolutely undeniable evidence that the cause is human activity. Such people aren’t skeptics at all — if they were, they’d investigate the outlandish claims of ocean-temperature control over CO2 (both its long-term growth and the seasonal cycle) and dismiss the idea as nutty. They’re simply in denial.

Categories: Global Warming

25 responses so far ↓

  • Doug Clover // August 7, 2008 at 5:25 am | Reply

    Dear Tamino

    First, thanks for your blogs on aspects of trend analysis I have learnt more from you than a whole year of undergrad econometrics.

    Second, you don’t have to go all the way to the south pole for some SH data.

    I hope this of interest

    http://cdiac.ornl.gov/trends/co2/sio-nzd.html

    kind regards

    Doug

  • michel // August 7, 2008 at 6:45 am | Reply

    I thought that the proof that the rises were due to human agency was in the signature of the makeup of CO2 in the atmosphere. Is this not true? There was some way of distinguishing natural from fossil fuel combustion sources, and from this it was proven that human activity is the cause.

    Or has this subsequently been disproved?

    [Respoinse: No, the isotopic evidence is still true. But this post isn't about that.]

  • Duae Quartunciae // August 7, 2008 at 9:10 am | Reply

    I see you often use wavelet transforms for smoothing, especially when there is a periodic effect to be smoothed away. Is there a brief description of how these transforms work somewhere? Something that would let me code it into a spreadsheet? I’ve read a bit about it, but there seems to be an awful lot of choice about what wavelets to use and how to pick parameters.

    [Response: I don't think it would be very easy to do it in a spreadsheet; you might have to write an actual program. Also, it's well to have a good working knowledge of the behavior of wavelets before applying them for smoothing. I suggest some web searches for tutorials, and for free software. Good luck.]

  • Callan Bentley // August 7, 2008 at 10:56 am | Reply

    Well done. Gotta say, you’ve been putting up some excellent posts this week. Keep at it! And thanks!

  • J // August 7, 2008 at 12:38 pm | Reply

    Nice post, Tamino.

    I’m sure you already know this, but…. Looking at the Barrow data, you can see that the annual cycle is strengthening. See, for example, the increasing trend in your wavelet-transformed graph above. By my calculations, the amplitude of the [May-August] difference has increased by 0.08 ppmv per year at Barrow. This is much less visible at MLO and the South Pole, for obvious reasons.

    It also might be interesting to look at the “shape” (not just amplitude) of the annual cycle ….

    [Response: The amplitude of the annual cycle at MLO has also increased, but it may have been a "step change" rather than a steady trend. And the shape of the cycle at MLO has changed as well. Maybe I need to do *another* post about CO2...]

  • George Tobin // August 7, 2008 at 2:57 pm | Reply

    Is there a simple explanation why the rate of CO2 growth appears so linear? Given the continued growth of human output, warming of the permafrost, reduced ocean capacity etc shouldn’t all that make the increase accelerate more than it has?

    [Response: The graph isn't nearly as linear as visual inspection might suggest; remember we're only looking at 50 years. It has accelerated quite a bit in that time.

    Maybe I *do* need to do another post about CO2...]

  • Hank Roberts // August 7, 2008 at 3:16 pm | Reply

    Coby could borrow from this to improve “it’s the oceans” in his list of refuted bogus alternatives.

  • Dano // August 7, 2008 at 4:50 pm | Reply

    I say again: you have great skill at conceptualizing topics, distilling them, and reformulating them into usable forms.

    Keep up the good work, sir. And well-placed snark has a place in dialog or writing.

    Best,

    D

  • cat black // August 7, 2008 at 6:10 pm | Reply

    [amplitude change] Since the amplitude is a net product of plant uptake and decay releases, it is fair to predict that warming will increase both, but in particular the latter as formerly frozen carbon sources start to release their sequestered carbon. Likewise the amplitude change would be in the north in particular. Another tell-tale canary just dropped dead, perhaps.

  • swade016 // August 7, 2008 at 7:05 pm | Reply

    Kind of off topic, but can you recommend a good book on time-series analysis?

    [Response: Hmmm... What's your education level in mathematics?

    (maybe I should just recommend you wait 6 months or so ... I might finish mine by then)]

  • swade016 // August 7, 2008 at 7:46 pm | Reply

    BS Mathematics, MS Operations Research.

    Masters wasn’t very specialized because OR is all over the place, but I had 2 classes on stats theory (all the calculus crap like moments, etc…) and 3 on analysis (stochastic models, regressions, anova, etc…) Plus I’ve got all the linear algebra, diffEQ, vector analysis stuff…

    Also, if you announce your book on here, won’t we all know your *real* name then? :-)

  • george // August 7, 2008 at 11:31 pm | Reply

    I’ll second the comment of Doug.

    If your book is even half as good as the stuff you post here (or includes even half the stuff you post here!), it will be better than all of the textbooks I used in college.

    You have a real gift for making otherwise complicated stuff appear obvious.

    I’m sure there are some who wish you were not quite as good as you are at this!

  • Jim Arndt // August 8, 2008 at 2:48 am | Reply

    Hi Tammy,

    They had a nice response to Anthony. Glad to see the openness and making it clear right away. You are correct that it is no big deal. Now if for instance the PPM went from 385 to 383 in a year that would be significant. But just reacting to noise is like calling the Police if a car drives by with a loud stereo going. Not much you can do and no effect on the quality of life. My 2 Cents.

  • Curious // August 8, 2008 at 9:48 am | Reply

    Thanks a lot for all your anti-skeptic education. It is really helpful to spread the reality about science of climate change all over the world.

    Regarding antrhopogenic atmosferic CO2 growth, I cannot understand how can it be denied: natural reservoirs can only have one of three net effects: absorbing, equilibrium or sinking. If atmospheric growth is lower than our emissions, and the extra CO2 can only go to the natural reservoirs…then natural reservoirs must be net sinkers, and the remaining CO2 is due to our contribution. My impression is that skepticism at this point is a kind of disorienting obsession with labeling each CO2 molecule and checking if the one that remains in the atmosphers is ours…

    Thanks again for this informative blog.

  • Richard // August 11, 2008 at 4:36 am | Reply

    I do not disagree that humans have influenced the increase in CO2 levels. I just disagree that CO2 per se is the primary agent in global climate change.

  • Barton Paul Levenson // August 11, 2008 at 11:43 am | Reply

    Richard posts:

    I do not disagree that humans have influenced the increase in CO2 levels. I just disagree that CO2 per se is the primary agent in global climate change.

    It’s one of the primary agents, and it is the agent most responsible for the recent global warming.

  • Ray Ladbury // August 11, 2008 at 12:54 pm | Reply

    Richard, what other basic tenets of physics do you disagree with?

  • EliRabett // August 13, 2008 at 1:31 am | Reply

    There is a lag associated with the time that it takes (a couple of years) for atmospheric interchange across the equator. That pretty much accounts for the offset between the South Pole and M-L/Barrow.

  • john // May 8, 2009 at 12:53 pm | Reply

    I don’t understand your statement “But mainly, the South Pole is on a continent surrounded by the southern oceans, but its annual cycle doesn’t follow the prescribed pattern, it’s the opposite.”

    Your figure showing the cycles from 1995 onwards (above the text “Obviously Barrow….”) seems to suggest that the South pole cycle is 180 degrees out of phase with the other two, which are almost in phase with each other.

    Is this what you mean by opposite?

    [Response: The "explanation" offered by some is that CO2 variations are controlled by global ocean temperature, which is dominated by the southern oceans. They're warmest in southern hemisphere summer/fall (northern hemisphere winter/spring), so that's when the oceans should release CO2 and atmospheric concentration should be highest. That's the pattern in the northern hemisphere atmosphere, but the pattern in the southern hemisphere atmosphere (particularly in Antarctica) is the opposite -- in spite of Antarctica being surrounded by southern hemisphere ocean, it's atmospheric CO2 concentration is highest when the surrounding oceans are coolest.]

  • john // May 8, 2009 at 3:00 pm | Reply

    There is certainly seasonal variation in the ocean temps though, as for example can be seen in these images.

    http://www.eduspace.esa.int/worksheet/default.asp?document=247#sea

    The absolute value of the mean ocean temperature might be “dominated” by the southern oceans, but it is the seasonal variation that is important. If the southern oceans were colder than their average when the northern ones were warmer than theirs, and vice versa, then this would also be consistent with the data, no?

    [Response: It's not my theory that ocean temperatures control CO2 variations -- it was posited by some who deny the reality of global warming, and even go so far as to deny the anthropogenic causation of CO2 increase. Their theory is that atmospheric CO2 is controlled by ocean temperatures which are dominated by the southern oceans -- hence the annual peak in CO2 during northern hemisphere winter/spring (southern summer/fall). But their theory is contradicted the CO2 concentration in Antarctica, which (according to their idea) should follow the same annual pattern, when it doesn't.

    And of course they don't have an explanation for what's happened to all the CO2 humanity has emitted since the start of the industrial revolution.]

  • john // May 8, 2009 at 3:25 pm | Reply

    Yes, I understand this is not your theory – I’m saying that this data you’ve presented does not contradict that theory.

    It seems to me that (assuming the theory is true) if all of the ocean was always at the same temperature (and so varied seasonally the same all over), then you would expect all three to be in phase.

    But clearly they are not – the northern oceans are warmer than their average when the southern ones are are cooler than theirs. So peak releases of co2 in each hemisphere would be 180 degrees out of phase from each other, which they are in the graph you show. I don’t see how this data you present contradicts that theory.

    You seem to be essentially saying that they should be in phase because the ocean temperature is – due to the domination of the southern oceans – the same all over.

    [Response: Again, I'm not the one saying that -- it's the proponents of the faulty theory. If instead we hypothesize that the oceans in the two hemispheres are out of phase temperature-wise, then their theory has the wrong ocean temperature/CO2 relationship for both hemispheres!! They posited the "dominated by the southern oceans" idea because that allows them to suggest that southern ocean warming leads to higher northern hemisphere CO2 (where the seasonal cycle is much larger than in the southern hemisphere).

    Any way you look at it, their theory doesn't "hold water."]

  • john // May 11, 2009 at 9:50 am | Reply

    “This pretty thoroughly refutes an idea which some (who don’t really know what they’re talking about) have suggested, that the changes we’ve observed in CO2 concentration are due to changes in ocean temperature. Even the annual cycle, so they say, is due to ocean temperature changes…”

    “They posited the “dominated by the southern oceans” idea because that allows them to suggest that southern ocean warming leads to higher northern hemisphere CO2 (where the seasonal cycle is much larger than in the southern hemisphere).”

    I and your other readers don’t know who “they” and “them” refers to – could you point out whose argument(s) this post is refuting please?

  • john // May 11, 2009 at 10:13 am | Reply

    I say this as I personally see this as an interesting point.

    a) ocean temperature is not constant, varying with both position and season.
    b) solubility of CO2 in water varies with (though not only with) the temperature of the water.
    c) therefore the exchange of co2 with the oceans is dynamic around the globe. You might firstly expect to see seasonal changes in all readings with period of 1 year. This is the case.
    d) broadly, temperatures in the northern hemisphere are 180 degrees out of phase with those in the southern hemisphere.
    e) given b), you would also expect readings of CO2 levels to vary with these temperatures (whether this is by a significant or experimentally detectable amount is another question of course).
    e) if you see that the readings in the southern hemisphere are 180 degrees out of phase with those in the northern hemisphere, you might postulate that ocean temps are a possible cause and might want to investigate further.
    f) another possibilty is that the variations are due to the differing uptake in CO2 due to plants and the growing season.
    g) another possiblity is a combination of e) and f) (and other factors) are the cause.
    h) seek evidence for and against these two theories.

    Do you agree with these points? You seem to disagree with e) and instead rule it out categorically.

    I make no assumption here about southern ocean temperatures “dominating” anything, only that they are broadly 180 out of phase with those in the northern hemisphere. If we remove this assumption, does the evidence still lead you to thoroughly refute the possibility of ocean temps partially regulating CO2 levels?

    [Response: Nobody I know of disputes that ocean temperature affects CO2 solubility. But the fact is that warmer water has reduced solubility. If ocean temps have a significant effect on atmospheric CO2 concentration, then atmospheric CO2 content should be highest when ocean temps are lowest. However, in both hemispheres we observe the opposite. Therefore the hypothesis that ocean temperature fluctuations are a significant factor in the annual atmospheric CO2 cycle is "dead in the water."]

  • Kevin McKinney // May 11, 2009 at 2:01 pm | Reply

    John, you can look at Tom Quirk, who has published in Energy & Environment, which is basically the journal of record for denialist pseudo-science. I don’t recommend it, though; I’ve perused the paper in question and find it extremely confused, even incoherent. If you have trouble following Tamino’s exposition, you’re really going to be scratching your head over Quirk.

    It shouldn’t be surprising, though, given that the whole premise of the argument involves ignoring that fact that we basically know how much fossil fuel we burn. The accounting involved may be arduous, but it’s not inherently difficult or uncertain. So papers such as this start off with blinders on, and proceed from there.

  • john // May 11, 2009 at 2:59 pm | Reply

    When stating the problem, you say in the post:

    “..due to the increased solubility of CO2 in colder water they draw CO2 from the atmosphere..”

    but in your reply to me you say

    “If ocean temps have a significant effect on atmospheric CO2 concentration, then atmospheric CO2 content should be highest when ocean temps are lowest”

    These are clearly contradictory. Which case are you disproving in this post?

    The hypothesis I described was simple (the first one above). In winter when the water is cold, CO2 is drawn from the atmosphere in such a way as to noticably reduce the concentration. The reverse would take place in summer, meaning the CO2 concentrations would be highest then.

    Monthly data from Mauna Loa can be found here.

    ftp://ftp.cmdl.noaa.gov/ccg/co2/trends/co2_mm_mlo.txt

    Clearly, the peak levels are during april,may,june and july every year ie. northern hemisphere summer. This is at least consistent with the theory that ocean temps can partially regulate CO2 levels.

    What is it that allows you to clearly “thoroughly refute” this hypothesis?

    [Response: Are you being deliberately obtuse?

    The "atmospheric CO2 levels should be highest when ocean temps are lowest" was a typo -- it should be "atmospheric CO2 levels should be highest when ocean temps are highest."

    As for "the peak levels are during april,may,june and july," no they're not. Peak levels are during April and May, after the oceans have felt the full cooling influence of winter; during June when the oceans really start to warm up atmospheric CO2 falls, and in July CO2 levels drop faster than at any other time of year. They bottom out in September, after the oceans have felt the full warming influence of Summer.

    The annual cycle of atmospheric CO2 rises fastest during January -- winter, when the "ocean temperature" theory predicts it should fall fastest. It falls fastest during July -- summer, when the "ocean temperature" theory predicts it should rise fastest. That theory is dead; it's time for you to bury it.]

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