Guest Post by Willis Eschenbach
There’s a new study entitled “Global warming preceded by increasing carbon dioxide concentrations during the last deglaciation”, Shakun et al. (paywalled, hereinafter Shakun2012). The paper claims to show that in the warming since the last ice age, CO2 leads temperature. Anthony wrote about it in his post “A new paper in Nature suggests CO2 leads temperature, but has some serious problems“. The press release says (emphasis mine):
A new study, funded by the National Science Foundation and published in the journal Nature, identifies this relationship and provides compelling evidence that rising CO2 caused much of the global warming.
Lead author Jeremy Shakun, who conducted much of the research as a doctoral student at Oregon State University, said the key to understanding the role of CO2 is to reconstruct globally averaged temperature changes during the end of the last Ice Age, which contrasts with previous efforts that only compared local temperatures in Antarctica to carbon dioxide levels.
“Carbon dioxide has been suspected as an important factor in ending the last Ice Age, but its exact role has always been unclear because rising temperatures reflected in Antarctic ice cores came before rising levels of CO2,” said Shakun, who is a National Oceanic and Atmospheric Administration (NOAA) Post-doctoral Fellow at Harvard University and Columbia University.
“But if you reconstruct temperatures on a global scale – and not just examine Antarctic temperatures – it becomes apparent that the CO2 change slightly preceded much of the global warming, and this means the global greenhouse effect had an important role in driving up global temperatures and bringing the planet out of the last Ice Age,” Shakun added.
The good news about the paper is that they have provided the temperature records (Excel spreadsheet) for the 80 proxies used in the study. My compliments to them.
Me being a suspicious fellow, however, I figured “trust but verify”, so I plotted up the temperature records that they used. I always begin with the original data, without any additions or distractions. Figure 1 shows the data that they used.
Figure 1. Records and types of proxies used in the Shakun2012 study
As you can see, some of the ice core records are down where we’d expect them to be, well below zero. Those are the GRIP and NGRIP records from Greenland. But there are some oddities about these proxies.
One problem that is immediately obvious is the timing. The peaks for the previous interglacial period (the Eemian, about 130,000 BC) don’t line up. That may not be much of a problem, though, because the paper is about the warming from the most recent ice age.
One oddity is that there are ice core records that are right around freezing (0°C). In addition, there are pollen records around freezing as well. This shows that we actually have a mix of anomaly records and actual temperature records. This is not a problem, just an oddity.
Next, let’s take a look at the location of the proxies. Figure 2 is from their paper:
Figure 2. Location of the proxies used in the Shakun2012 study.
This looks good, it looks like there may be passable coverage. So let’s look at the last glacial transition, we’ll look at the time since 26,000 BC.
Figure 3. Same data as in Figure 1, but showing the warming from the last ice age.
Here, you can see the Antarctic ice core records (yellow and green lines near 0°C) mentioned above that are shown as variations, with the modern value taken to be 0°C.
Some other observations. Greenland (yellow temperatures at bottom) seems to be an outlier in terms of change in temperature. The Antarctic ice cores and all of the rest of the records show much less warming since the ice age.
In order to compare these eighty proxies to each other, what we need to do is to “standardize” them. This means to first subtract the mean (average) of each proxy from the individual values. Then each of the individual values is divided by the standard deviation of the entire record for that proxy. The result will vary between about -3 and 3. Standardizing preserves the shape and timing of the data, it just makes all the proxies have a mean of 0 and a standard deviation of 1.
Next comes the part that the authors of these multi-proxy studies seem to have generally ignored. This is to look at each and every one of these proxy records and think about what they seem to mean. I’ll look at them sixteen at a time. Figure 3 shows the first sixteen of the Shakun2012 proxies.
Figure 4. Proxies from the Shakur2012 study. All of these cover the period from 26,000 BC to 1980 AD. Vertical dashed lines show the minimum (light blue) and maximum (dark red) values for the each proxy. Minimum and maximum times rounded to nearest 100 years. Colors as shown in Figure 1. Click for larger version.
NOTES BY NUMBER
1, 2: These are the Greenland ice cores. They show a warming of 32 and 27 degrees respectively, which is much more than any other proxy. Warming begins earlier than 20,000 BC.
4: The warmest date is at 1200 AD.
6: Warmest date is 1000 AD. Warming doesn’t start until 12,600 BC.
9: Maximum warmth is at 14,600 BC.
15: Very unusual shape, 11° warming.
Figure 5. Same as Figure 4, proxies from the Shakur2012 study. All of these cover the period from 26,000 BC to 1980 AD. Vertical dashed lines show the minimum (light blue) and maximum (dark red) values for the each proxy. Minimum and maximum times rounded to nearest 100 years. Click for larger version.
19: Warming doesn’t start until 10,800 BC
21: Maximum warmth precedes maximum cold.
28. Maximum doesn’t occur until 400 BC.
30. Maximum doesn’t occur until 1400 AD.
31. Maximum doesn’t occur until 2400 BC.
32. Maximum doesn’t occur until 1500 AD.
Figure 6. Same as Figure 4. Click for larger version.
34: Maximum at 1600 AD
35: Maximum at 14,000 BC
36: Strange shape, constant warming until the present.
42. Maximum not until 400 AD.
44: Warming until the end of the record in 8200 BC.
Figure 7. Same as Figure 4. Click for larger version.
50: Maximum not until 1100 AD.
51: Constant rise beginning to end.
52: Large drop and rise after maximum warmth.
53: Rises beginning to end.
54: Rises beginning to end.
58: Maximum not until 1300 AD.
59: Maximum not until 1600 AD.
60: Large rise in 1100-1200
Figure 8. Same as Figure 4. Click for larger version.
67: Warming starts at 25,900 BC.
68: Warming only one tenth of a degree
76: Warming occurs almost instantaneously
Discussion
The variety in the shapes of these graphs is quite surprising. Yes, they’re all vaguely alike … but that’s about all.
The main curiosity about these, other than the wide variety of amounts of warming, is the different timing of the warming. In some proxies it starts in 25,000 BC, in others it starts in 15,000 BC. Sometimes the warming peaks as early as 14,000 BC, and sometimes around 5,000 BC or later. Sometimes the warming continues right up to the present.
The problem becomes evident when we plot all of these 80 standardized proxies together. Figure 9 shows all of the standardized temperature traces.
Figure 9. All 80 temperature proxies from Shakun2012. Colors as shown in Figure 1.
Now, there’s plenty of things of interest in there. It’s clear that there is warming since the last ice age. The median value for the warming is 4.3°C, although the range is quite wide.
But if you want to make the claim that CO2 precedes the warming?
I fear that this set of proxies is perfectly useless for that. How on earth could you claim anything about the timing of the warming from this group of proxies? It’s all over the map.
Final Conclusion
The reviewers should have taken the time to plot the proxies … but then, the authors should have taken the time to plot the proxies.
w.
[UPDATE] A hat tip to Jostein, who pointed in the comments to the Shakun Nature paper being available here.
[UPDATE] Some folks wanted to see the CO2 data they used on the same timescale. Other folks said the colors in Figure 9 were misleading, since ice cores were printed on top, obscuring others below. We’re a full-service website, so here’s both in one:
Figure 10. All proxies, along with CO2 record used in Shakun2012.
My best to all,
w.
I decided to take a look at the various proxies by proxy type. There are ten different kinds of proxies.
Figure 11. Proxies averaged by type.
A few notes, in no particular order. The ice core records are similar, but the timing is different.
Foram assemblages seem to be useless. The same is true of the Tex86 proxies.
Pollen has a consistent signal, but the warming doesn’t start until about 10,000 BC.
MBT/CBT perfectly exemplifies the problems with this approach. Which one are we supposed to believe? Which one is it that is lagging the CO2?
Finally, the Mg/Ca and the UK’37 proxies kinda sorta have the same shape, but no uniformity at all regarding the timing of the rise.
Let me close with a black-and-white version of the above chart. This allows you to see where the denser areas are located.
Figure 12. Proxies by type. Blue line shows CO2 data as used in the study.
Note the difference in the underlying shapes of the different types of proxies, and the differences in their timing with respect to the rise of CO2.
Next, note that the CO2 record they are using is from Antarctica. That is the reason for the good fit with the single “ice core ∂18O and dD” proxy (left graph, second row) and the “ice core dD” (center graph, second row). Both of those are Antarctic records as well.
Also, as you can see, even within each proxy type there is no unanimity regarding the timing of either the onset or the end of the warming from the last ice age.
CO2 is the blue line … so was the warming before or after the blue line?
w.
[UPDATE]—The discussion continues at Shakun Redux: Master tricksed us! I told you he was tricksy!
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Gary Swift says (April 6, 2012 at 1:26 pm)
“Any time I see a jigsaw puzzle on a table I take one non-edge piece, sneak it into my pocket when nobody is looking, and walk away.”
——————-
So *you’re* the one!
Wow! All this data manipulation for free! And lots of info to allow evaluation too.
The Shakur article is behind a paywall and lacks some of the info to verify the implied conclusion. Eschenbach may be “wrong” but his effort is straight-forward, informative and sort of “testable”. May be that Shakur is better than the obscured view indicates, but obscuring the thing usually means it won’t hold up to serious scutiny. I’ll take Eschenbach and his efforts.
Thanks.
David A says:
April 6, 2012 at 12:35 pm
Mosh is a friend of mine in real life, but his posting habits drive me spare … which may be the point, I don’t know. In any case, he’s one of the good guys in my book so I cut him slack.
w.
MDR says:
April 6, 2012 at 1:24 pm
No, there is no such statistical technique. You can’t create meaningful answers when range in the proxies goes from the floor to the ceiling.
And although you could use statistics to say that for example the CO2 started upwards before the rise of 46% of these proxies … so what? That would show exactly nothing. The proxies are so varied, you can get any answer you want just by picking the proxies you want.
w.
BradProp1 says:
April 6, 2012 at 8:18 am
I think I can see the face of Jesus in the Fig 9 plot! /sarc
All I see is Osama Bin Laden peeping out (he’s between 1 and -1, about -22,000 to -20,000, blue face and turban with a purplie beard)
I’m normally a fan of your posts,but you are showing your bias with your commentry on only the maxminums and trends.
The question is wether CO2 rises proceed temperature rises, so the minimum commentry is much more important, i.e. does temperature reach a minimum before CO2 or vice versa, and you need to look at all available cycles not just the latest to avoid cherry picking.
I’ve not payed for the paper so I can’t really comment on their analysis, but it would seem taking it at face value and from what was already known, that temperature rises in the Antarctic first which then leads to rises in CO2 and then one of those two effects leads to rises in temperature elsewhere.
So not much change on earlier results, except more doubt on the cause?
Septic Matthew/Matthew R Marler says:
April 6, 2012 at 1:36 pm
I thought about doing that. Ideally what I would like to get are the inflection points, where it starts to run up, and where it ends.
So I figured, well, take the trend for say a thousand years ahead of and behind each point, that should do it. But then I realized that the variation in sampling rate is huge, so I’d have to first calculate how many points to include …
Then I looked at proxies like say #4 and #11 and a bunch more, and I thought “no way”. So I just took the maximum and minimum and SHOWED THEM ON THE GRAPH.
With that information, you can look at the individual proxy and try to understand what it is doing. It was something I added at the end of the analysis, to provide some unequivocal anchor points in a sea of strange proxies. It was included as a guide rather than a conclusion.
Finally, the “Warming = ” data was calculated by taking a centered 5-point average around the high and low records, and subtracting one from the other.
w.
Dr Burns says:
April 6, 2012 at 1:52 pm
The ice core data has been used for this in the past. If you take the air in a bubble in the ice core you can measure the CO2 as well as the ∂18O simultaneously. That gives a much more stable platform from which to do your analysis.
It is from that type of analysis that scientists have claimed that the CO2 follows temperature.
What I’m seeing from these proxies is that we don’t know as much as I thought we did about the shape and timing of the emergence from the last ice age. The other proxies tell a very different story from the ice cores …
w.
We are the experiment.
Longevity is ever increasing.
Some, are running out of others money to spend, fu*k them.
REPLY: Try learning about the revolutionary new feature: PARAGRAPHS – Anthony
Hey Anthony, you grammarian. First you won’t post my article because I had sentences ending in exclamation points. Now you want PARAGRAPHS too. Is it you or your name sake the Oxford don reading these comments? AA
Very nice work by Willis. Again.
I’d say it was a useful piece of work by Shakun. It does show that the temperature/timing information is not as clear as we would like to think. It is only his conclusion which is wrong:
He should have concluded something along the lines of; “The use of multiple proxies to assess the CO2/warming interaction is complete confounded by large variations in the data sets, with the result that no clear picture of the relationship can be seen. Further investigation of such relationships should perhaps concentrate on ice core proxies where the evidence for each parameter can be reasonably assumed to be physically locked into a reasonably close time bracket.”
agfosterjr says: April 6, 2012 at 11:56 am
I traced the trends at Maua Loa, 90N, 90S. The trend is highest 90N and lowest 90S. Eyeball and ruler. It is about 1.67ppm/yr 90S, 1.87ppm/yr 0, 1.93ppm/yr 90N for 1994-2004 .
On my screen, 10ppm is 2″. N&S were easy, 2004 was on a down slope so it was hard to pin-point 0. It shouldn’t be off by much more than a 1/16″, maybe an 1/8, not significantly different from the equator.
This suggests that CO2 may increase faster in the northern hemisphere.
With regards to the paper, it’s meaningless.
W., can you show the proxy temps and CO2 with a 500yr moving average, same start and end points?
RE
Willis Eschenbach says:
April 6, 2012 at 5:45 pm
“…The proxies are so varied, you can get any answer you want just by picking the proxies you want.”
Willis Eschenbach says:
April 6, 2012 at 11:03 am
“… they are averaging 80 proxies for historical temperature, but they’ve taken a single proxy for CO2.”
——————————–
Good stuff Willis. Your analysis and conclusions are clear and irrefutable.
rgb’s point above re the preponderance of coastal sites in the proxy data is also pertinent…
Now, my memory isn’t great but an infamous study using cherry-picked tree ring data springs to mind… seems to me the similarities are more than fleeting…
From Webster’s online dictionary:
Noun 1. propagandist – a person who disseminates messages calculated to assist some cause or some government
…”the cause”, “the cause”…!
Arno Arrak says:
April 6, 2012 at 6:32 pm
==============
Languages don’t always translate, common courtesy fells many more foes than belligerence.
Must be why the U.S. spends 800 billion on defense every year.
Arno Arrak says:
April 6, 2012 at 6:32 pm
Arno, I must confess I didn’t even read your comment. Why? The exact reason Anthony pointed out, the lack of paragraphs. I was actually tempted to comment on it, then I read his comment and just laughed.
Lots of folks seem to think that they can throw anything out in any form, and if the ideas are good and valid, that I and others will read them. Nothing could be further from the truth. You also need to speak the language that your listeners understand, in the manner they want it spoken.
I have a lot of folks who follow my work. In part that’s because I have good, new, interesting ideas, and I’m doing novel scientific investigations and analyses. This analysis is a good example of that. But that’s only part of it. People read what I write because it is two things—interesting and digestible.
By digestible, I mean that I cut it up into bite-sized chunks. I discuss the ideas one at a time. Not because people are too stupid to understand a whole big block of text—they are not, and it would be a grave mistake to think so.
But because it’s more fun to read that way. You need to attract readers, not encourage them to look elsewhere.
You have to understand that you are offering your ideas in a very crowded marketplace of ideas. There’s already over a hundred comments on this post, and it went up this morning. You see, I simply don’t have time to respond to, or even read, every comment in detail. I read a bit of each comment, I size it up, and I may just jump over it.
Yes, it’s true that some people’s comments I read no matter how they are laid out or formatted. Robert Brown, the Duke physicist who posts as rgbatduke, is one of those. His science-fu is strong, I read and carefully contemplate his words no matter how he writes.
But for someone who I don’t know, I give it a shot, and then I do my usual triage—no answer, short answer, or long answer. A giant long block of text with no breaks, almost every time that won’t get an answer.
Yes, I know it’s not fair. Yes, I know your ideas should get discussed based on their truth and their validity, and not based on how you expressed them … but this is 2011, and nobody has time to faff around decoding dense blocks of text. So if you want your ideas to get read and get discussed, I agree entirely with Anthony. You need to break them up into paragraphs.
Finally, neither I nor Anthony are saying this to score points. He’s trying to assist you in getting your voice heard and listened to, as am I, and you are tossing it back in his face.
Your choice, but I would suggest a gentler approach …
w.
aaron says:
April 6, 2012 at 6:57 pm
Yes, I can. So can you, for that matter, the data’s listed at the top. However, there are some difficulties. The main one is, what do you get when you average a lemon, a peach, and a watermelon?
Whatever ‘something’ these proxies are measuring, it’s clear that they are not measuring the same something. For example, the GRIP greenland ice cores show warming, starting 27,000 years ago. They warm slowly for about 10,000 years, then they warm rapidly to a peak about 10,000 years ago, and after that, they gradually cool down.
Now look at say proxy 32. Starting 27,000 years ago, it cools for 5,000 years. Then it starts to warm slowly … and it continues that slow warming for the next 20,000 years, finally peaking in about the year 1500.
So how would you average those two? And more to the point, what would it mean? You’re averaging a lemon and a watermelon, it’s meaningless.
w,
Willis’ point above re: presentation style is certainly valid. Nevertheless, I did read Arno Arrak’s mighty tome – and found it to be well-written and very interesting.
I wonder if Arno would consider re-writing as a guest post with graphs, figures, paragraphs and references/ links to break-up the text?
Adrian says:
April 6, 2012 at 5:51 pm
I love how when you agree with me everything is fine, but when you disagree I’m “showing my bias” …
No, that’s not the question at all. That would be a good question, but my question is, is the Shakun2012 paper a valid scientific paper or not?
I say no, based on the fact that they can’t draw their conclusions based on their proxies.
In addition, your accusation of “cherry picking” is risible. I can only analyze what the authors analyzed, and they analyzed the most recent glacial-interglacial cycle. All I need to do is show how and why their analysis of that cycle is fatally flawed, and I have done that. I am under no obligation to show anything about the other cycles.
w.
PS—When someone asks me “why did you only analyze one cycle?”, I answer them.
On the other hand, when someone accuses me of “bias” and of “cherry picking” for only using one cycle, I avoid that person in future, and I downgrade my opinion of their science and their impartiality.
You’re losing points fast … ask next time, your assumptions make you look both biased and unprepared …
Very interesting – given the issues that Willis raises and some of the interesting discussion in the thread, it really bothers me (yeah, I’m super naive) that the BBC World Radio Service has been running hot with the warmist claims being made by the study reviewed here. In Australia, the Fairfax media (The (Melbourne) Age, Sydney Morning Herald, etc) have also gone gang busters on this paper, claiming it seriously checkmates sceptic claims. Sigh. You guys must feel like you’re butting your heads against a wall at times. The Empire keeps striking back over & over with more bullsh*t, including rejigging the recent temperature record to show a continued warming trend. What will it take to put an end to them? Please PDO, weak Solar Cycles, etc, kick in harder. Until then, keep up the scrutiny, Willis & all the other sensible persons.
Oh & why isn’t WUWT selling Willis Eschenbach T-Shirts? Some of us like to wear our culture heroes, not just read them.
Willis – “Mosh is a friend of mine in real life, but his posting habits drive me spare … ”
I’m glad to hear that; was thinking of the recent dinner together, it would have been extremely awkward otherwise!
The key core truths for intrpreting these sort of data sets are
1. Southern Hemisphere changes more slowly that Northern because there si more water. Southern Hemisphereis better place to measure trends.
2. Greenland is the smallest large land mass in Northern Hemisphere. It will have the most variation of the major land masses in Northern Hemisphere which will have more variation than Southern Hemisphere So not surpising to see record delta Ts in both directions in Greenland.. Greenland is the thermal equivalent of getting AC electric power at the end of a long transmission line. The transients are bigger.
I went looking for the Shakun 2012 paper, Google Scholar didn’t even have the listing yet.
But it did find this:
http://www.sciencemag.org/content/318/5849/435.short
Download pdf here.
Deep-sea warming, which could cause outgassing of CO₂, preceded both atmospheric CO₂ and tropical temperature increases by ~1000 yrs, “in the Southern Hemisphere”. Isn’t the historical trend from ice cores etc that temperatures warmed for about 800 yrs, then came the atmospheric CO₂ increases?
Has this paper been mentioned before around here? I looked at the little captions on Willis’ little graphs, didn’t notice it by name. Was this paper or its data used in Shakun 2012?
I’ve posted the following charts, along with a discussion, as an update to the head post:


Blue line is the CO2 rise used in their paper.
w.
Jurgen says:
April 6, 2012 at 3:51 pm
“Your statement in my opinion only holds, if the measurements are about the same phenomenon and done with the same or comparable methods and units.
This is true for absolute measurements, quite so. But Willis derivatized all of the measurements (normalized) to sort out when change in any and all measurements occurred. In this case, my simple non-parametric method provides suggestive or supportive information.
Let me give a baseball analogy. A home run is hit at 3:02 PM at Yankee Stadium (is there another stadium?) We know a home run was hit during the game, just not when!
A video monitor registers the event with a time stamp at 3:02 PM.
At the same time, a scientist has a decibel monitor (he works for a government agency, like EPA, and wants to find evidence to require all ball park attendees to wear government-issued ear protection). At 3:02 PM he registers a spike in noise.
Another scientist is assessing neck strain in sports attendees (he works for NIOSH, and wants to mandate that employees only work so many hours because of looking-around neck strain). At 3:02 PM, he registers an increase in cervical neck rotation on his motion sensors, clockwise from spectators in the right stands, and counter-clockwise rotation from those in the left stands.
And so on—this analogy could go on.
But the conclusive video is lost!!!
Absent the videography, if one wanted to deduce when the home run was hit, and the data were appropriately normalized to fit to find time (Y-Axis), not X-Axis parameter, then putting the sonograph, the motion sensing graph, and other imaginary data too lengthy here to include, until we have 80 independent measurements, we can build a strong case that a home run was hit at 3:02 PM.
It doesn’t matter, in this instance and in Willis’ (really, really cool!) proxy splicing exercise, what exactly happened, just that something feasibly did happen, which was when the home run was hit.
Ergo: Based upon the mean of all data, estimated by totally different proxies, I hypothesize that the recovery from the interglacial maximized at around 6000±3000 YBP. That means that temperatures have been steady, or decreasing ever since.