Guest Post by Willis Eschenbach
There seem to be a host of people out there who want to discuss whether humanoids are responsible for the post ~1850 rise in the amount of CO2. People seem madly passionate about this question. So I figure I’ll deal with it by employing the method I used in the 1960s to fire off dynamite shots when I was in the road-building game … light the fuse, and run like hell …
First, the data, as far as it is known. What we have to play with are several lines of evidence, some of which are solid, and some not so solid. These break into three groups: data about the atmospheric levels, data about the emissions, and data about the isotopes.
The most solid of the atmospheric data, as we have been discussing, is the Mauna Loa CO2 data. This in turn is well supported by the ice core data. Here’s what they look like for the last thousand years:
Figure 1. Mauna Loa CO2 data (orange circles), and CO2 data from 8 separate ice cores. Fuji ice core data is analyzed by two methods (wet and dry). Siple ice core data is analyzed by two different groups (Friedli et al., and Neftel et al.). You can see why Michael Mann is madly desirous of establishing the temperature hockeystick … otherwise, he has to explain the Medieval Warm Period without recourse to CO2. Photo shows the outside of the WAIS ice core drilling shed.
So here’s the battle plan:
I’m going to lay out and discuss the data and the major issues as I understand them, and tell you what I think. Then y’all can pick it all apart. Let me preface this by saying that I do think that the recent increase in CO2 levels is due to human activities.
Issue 1. The shape of the historical record.
I will start with Figure 1. As you can see, there is excellent agreement between the eight different ice cores, including the different methods and different analysts for two of the cores. There is also excellent agreement between the ice cores and the Mauna Loa data. Perhaps the agreement is coincidence. Perhaps it is conspiracy. Perhaps it is simple error. Me, I think it represents a good estimate of the historical background CO2 record.
So if you are going to believe that this is not a result of human activities, it would help to answer the question of what else might have that effect. It is not necessary to provide an alternative hypothesis if you disbelieve that humans are the cause … but it would help your case. Me, I can’t think of any obvious other explanation for that precipitous recent rise.
Issue 2. Emissions versus Atmospheric Levels and Sequestration
There are a couple of datasets that give us amounts of CO2 emissions from human activities. The first is the CDIAC emissions dataset. This gives the annual emissions (as tonnes of carbon, not CO2) separately for fossil fuel gas, liquids, and solids. It also gives the amounts for cement production and gas flaring.
The second dataset is much less accurate. It is an estimate of the emissions from changes in land use and land cover, or “LU/LC” as it is known … what is a science if it doesn’t have acronyms? The most comprehensive dataset I’ve found for this is the Houghton dataset. Here are the emissions as shown by those two datasets:
Figure 2. Anthropogenic (human-caused) emissions from fossil fuel burning and cement manufacture (blue line), land use/land cover (LU/LC) changes (white line), and the total of the two (red line).
While this is informative, and looks somewhat like the change in atmospheric CO2, we need something to compare the two directly. The magic number to do this is the number of gigatonnes (billions of tonnes, 1 * 10^9) of carbon that it takes to change the atmospheric CO2 concentration by 1 ppmv. This turns out to be 2.13 gigatonnes of carbon (C) per 1 ppmv.
Using that relationship, we can compare emissions and atmospheric CO2 directly. Figure 3 looks at the cumulative emissions since 1850, along with the atmospheric changes (converted from ppmv to gigatonnes C). When we do so, we see an interesting relationship. Not all of the emitted CO2 ends up in the atmosphere. Some is sequestered (absorbed) by the natural systems of the earth.
Figure 3. Total emissions (fossil, cement, & LU/LC), amount remaining in the atmosphere, and amount sequestered.
Here we see that not all of the carbon that is emitted (in the form of CO2) remains in the atmosphere. Some is absorbed by some combination of the ocean, the biosphere, and the land. How are we to understand this?
To do so, we need to consider a couple of often conflated measurements. One is the residence time of CO2. This is the amount of time that the average CO2 molecule stays in the atmosphere. It can be calculated in a couple of ways, and is likely about 6–8 years.
The other measure, often confused with the first, is the half-life, or alternately the e-folding time of CO2. Suppose we put a pulse of CO2 into an atmospheric system which is at some kind of equilibrium. The pulse will slowly decay, and after a certain time, the system will return to equilibrium. This is called “exponential decay”, since a certain percentage of the excess is removed each year. The strength of the exponential decay is usually measured as the amount of time it takes for the pulse to decay to half its original value (half-life) or to 1/e (0.37) of its original value (e-folding time). The length of this decay (half-life or e-folding time) is much more difficult to calculate than the residence time. The IPCC says it is somewhere between 90 and 200 years. I say it is much less, as does Jacobson.
Now, how can we determine if it is actually the case that we are looking at exponential decay of the added CO2? One way is to compare it to what a calculated exponential decay would look like. Here’s the result, using an e-folding time of 31 years:
Figure 4. Total cumulative emissions (fossil, cement, & LU/LC), cumulative amount remaining in the atmosphere, and cumulative amount sequestered. Calculated sequestered amount (yellow line) and calculated airborne amount (black) are shown as well.
As you can see, the assumption of exponential decay fits the observed data quite well, supporting the idea that the excess atmospheric carbon is indeed from human activities.
Issue 3. 12C and 13C carbon isotopes
Carbon has a couple of natural isotopes, 12C and 13C. 12C is lighter than 13C. Plants preferentially use the lighter isotope (12C). As a result, plant derived materials (including fossil fuels) have a lower amount of 13C with respect to 12C (a lower 13C/12C ratio).
It is claimed (I have not looked very deeply into this) that since about 1850 the amount of 12C in the atmosphere has been increasing. There are several lines of evidence for this: 13C/12C ratios in tree rings, 13C/12C ratios in the ocean, and 13C/12C ratios in sponges. Together, they suggest that the cause of the post 1850 CO2 rise is fossil fuel burning.
However, there are problems with this. For example, here is a Nature article called “Problems in interpreting tree-ring δ 13C records”. The abstract says (emphasis mine):
THE stable carbon isotopic (13C/12C) record of twentieth-century tree rings has been examined1-3 for evidence of the effects of the input of isotopically lighter fossil fuel CO2 (δ 13C~-25‰ relative to the primary PDB standard4), since the onset of major fossil fuel combustion during the mid-nineteenth century, on the 13C/12C ratio of atmospheric CO2(δ 13C~-7‰), which is assimilated by trees by photosynthesis. The decline in δ13C up to 1930 observed in several series of tree-ring measurements has exceeded that anticipated from the input of fossil fuel CO2 to the atmosphere, leading to suggestions of an additional input ‰) during the late nineteenth/early twentieth century. Stuiver has suggested that a lowering of atmospheric δ 13C of 0.7‰, from 1860 to 1930 over and above that due to fossil fuel CO2 can be attributed to a net biospheric CO2 (δ 13C~-25‰) release comparable, in fact, to the total fossil fuel CO2 flux from 1850 to 1970. If information about the role of the biosphere as a source of or a sink for CO2 in the recent past can be derived from tree-ring 13C/12C data it could prove useful in evaluating the response of the whole dynamic carbon cycle to increasing input of fossil fuel CO2 and thus in predicting potential climatic change through the greenhouse effect of resultant atmospheric CO2 concentrations. I report here the trend (Fig. 1a) in whole wood δ 13C from 1883 to 1968 for tree rings of an American elm, grown in a non-forest environment at sea level in Falmouth, Cape Cod, Massachusetts (41°34’N, 70°38’W) on the northeastern coast of the US. Examination of the δ 13C trends in the light of various potential influences demonstrates the difficulty of attributing fluctuations in 13C/12C ratios to a unique cause and suggests that comparison of pre-1850 ratios with temperature records could aid resolution of perturbatory parameters in the twentieth century.
This isotopic line of argument seems like the weakest one to me. The total flux of carbon through the atmosphere is about 211 gigtonnes plus the human contribution. This means that the human contribution to the atmospheric flux ranged from ~2.7% in 1978 to 4% in 2008. During that time, the average of the 11 NOAA measuring stations value for the 13C/12C ratio decreased by -0.7 per mil.
Now, the atmosphere has ~ -7 per mil 13C/12C. Given that, for the amount of CO2 added to the atmosphere to cause a 0.7 mil drop, the added CO2 would need to have had a 13C/12C of around -60 per mil.
But fossil fuels in the current mix have a 13C/12C ration of ~ -28 per mil, only about half of that requried to make such a change. So it is clear that the fossil fuel burning is not the sole cause of the change in the atmospheric 13C/12C ratio. Note that this is the same finding as in the Nature article.
In addition, from an examination of the year-by-year changes it is obvious that there are other large scale effects on the global 13C/12C ratio. From 1984 to 1986, it increased by 0.03 per mil. From ’86 to ’89, it decreased by -0.2. And from ’89 to ’92, it didn’t change at all. Why?
However, at least the sign of the change in atmospheric 13C/12C ratio (decreasing) is in agreement with with theory that at least part of it is from anthropogenic CO2 production from fossil fuel burning.
CONCLUSION
As I said, I think that the preponderance of evidence shows that humans are the main cause of the increase in atmospheric CO2. It is unlikely that the change in CO2 is from the overall temperature increase. During the ice age to interglacial transitions, on average a change of 7°C led to a doubling of CO2. We have seen about a tenth of that change (0.7°C) since 1850, so we’d expect a CO2 change from temperature alone of only about 20 ppmv.
Given all of the issues discussed above, I say humans are responsible for the change in atmospheric CO2 … but obviously, for lots of people, YMMV. Also, please be aware that I don’t think that the change in CO2 will make any meaningful difference to the temperature, for reasons that I explain here.
So having taken a look at the data, we have finally arrived at …
RULES FOR THE DISCUSSION OF ATTRIBUTION OF THE CO2 RISE
1. Numbers trump assertions. If you don’t provide numbers, you won’t get much traction.
2. Ad hominems are meaningless. Saying that some scientist is funded by big oil, or is a member of Greenpeace, or is a geologist rather than an atmospheric physicist, is meaningless. What is important is whether what they say is true or not. Focus on the claims and their veracity, not on the sources of the claims. Sources mean nothing.
3. Appeals to authority are equally meaningless. Who cares what the 12-member Board of the National Academy of Sciences says? Science isn’t run by a vote … thank goodness.
4. Make your cites specific. “The IPCC says …” is useless. “Chapter 7 of the IPCC AR4 says …” is useless. Cite us chapter and verse, specify page and paragraph. I don’t want to have to dig through an entire paper or an IPCC chapter to guess at which one line you are talking about.
5. QUOTE WHAT YOU DISAGREE WITH!!! I can’t stress this enough. Far too often, people attack something that another person hasn’t said. Quote their words, the exact words you think are mistaken, so we can all see if you have understood what they are saying.
6. NO PERSONAL ATTACKS!!! Repeat after me. No personal attacks. No “only a fool would believe …”. No “Are you crazy?”. No speculation about a person’s motives. No “deniers”, no “warmists”, no “econazis”, none of the above. Play nice.
OK, countdown to mayhem in 3, 2, 1 … I’m outta here.




1DandyTroll says:
June 7, 2010 at 6:56 am
See, this is why I asked people to QUOTE what you are disagreeing with. I said:
That is neither silly nor IPCCian. It is a statement of fact. You don’t need to propose an alternative hypothesis to falsify an existing one. But it does help your case if you can do so.
David Archibald says:
June 7, 2010 at 7:49 am
You are again conflating residence time (6-8 years or so) with the half life (much longer).
Today they can apparently create 1500 pound of coke from 1 ton of coal. But it still takes coal to create more efficient coal.
But back in the day, to which every greenies wants to take us it seems, what they called efficiency was utterly terrible by today’s standard, of course it would’ve pretty pissy otherwise.
Then it takes “coal”, so as not to confuse some people, to make iron, of course it took coal to mine the iron. It took coal to shape the iron that required coal to mine the iron that required coal to make the coal to melt and shape and separate.
It takes coals and “coals” to make steel. It takes a lot of coal just to make the tools you need. So it takes more coal to shape that steel into the tools you use to make and shape the steel with, then it takes more to do useful crap you can sell.
It takes an enormous amount of coal to be industrious today, it took even more in 1850, and even more before that, due to less efficiency. And that’s just iron and steel, add to that copper and bronze, lead, tin, et cetera. Heh, how about 500 years of gunpowder use in Europe between 14th and 19th century? How much, I wonder, carbon was emitted in the whole process of creating the cheapest lightest at some 60-70 pound iron stove, which pretty much every family had?
The more I try to wrap my head around it, the concept of 0.5 GT carbon at 1850 and before as depicted by one of the graphs, is just getting more and more silly. If somethings’ve been constant, or there about, for a very long time in statistics, chances are pretty darn good it probably didn’t start at zero or any where close.
Willis Eschenbach says:
June 7, 2010 at 1:13 pm
On the Mauna Loa thread this was just discussed a couple days ago, including a comment from Beck himself. My conclusion was that the Beck records do not represent the background CO2 level … and Beck agreed.
And the ice core does a better job for the period 1826-1960!!!
Steve Hempell says:
June 7, 2010 at 8:22 am
Willis,
Yes. Like many others, he is conflating e-folding time and residence time.
Thanks I had not heard of the fallacy of the excluded middle.
AndrewS says:
June 7, 2010 at 8:27 am
Yes. What is wrong is that you are conflating residence time (the amount of time that the average CO2 molecule stays in the atmosphere) with the e-folding time (the amount of time it takes for a pulse of CO2 emitted into a system at equilibrium to decay to 1/e [0.37] of its original value).
By the way I donot disagree with the idea that some of the increase of CO2 is from human activity I just think the amount is too high.
Dave Springer says:
June 7, 2010 at 8:29 am
I have included an estimate of CO2 emissions from deforestation as shown in Fig. 2. They are nowhere near large enough to cause the recent rise.
Again, I discuss this in the head post, and it is not large enough to cause the recent rise either.
How would I know? I’m not sure I even understand your question. And I don’t know if anyone knows why CO2 levels have varied so much through paleohistory.
Hoppy says:
June 7, 2010 at 5:00 am
“Does the CO2 level in the trapped ice represent the composition of the original air or is it the final equilibrium concentration between the trapped air and compressed snow. If it is an equilibrium then it would be a low level and very constant like that shown in Figure 1.
http://www.igsoc.org/journal/21/85/igs_journal_vol21_issue085_pg291-300.pdf
CO2 in Natural Ice
Stauffer, B | Berner, W
Symposium on the Physics and Chemistry of Ice; Proceedings of the Third International Symposium, Cambridge (England) September 12-16, 1977. Journal of Glaciology, Vol. 21, No. 85, p 291-300, 1978. 3 fig, 5 tab, 18 ref.
Natural ice contains approximately 100 ppm (by weight) of enclosed air. This air is mainly located in bubbles. Carbon dioxide is an exception. The fraction of CO2 present in bubbles was estimated to be only about 20%. The remaining part is dissolved in the ice…..”
________________________________________________________________________
Thank you very much for this bit of research. Note the DATE: September 12-16, 1977 This was written before skeptical scientists were muzzled.
As a chemist who graduated in 1972 I can tell you that there were Gas Chromatographs, Infrared Spectrophotometers, Atomic Absorption, Mas Spec and other modern analytical tools available at that time and analysis to ppm levels was routine.
Steve Fitzpatrick says:
June 7, 2010 at 8:46 am
Thanks, Steve, that’s why I had asked Steve Goddard for numbers on the question.
And you are right, as of the most recent data (2005), cement production is responsible for only 4% of the total CO2 emissions.
J. Bob says:
June 7, 2010 at 9:34 am
Yeah, don’t trust the recent CET temperatures. They are far from a continuous record, as different stations have been added and removed over time. See an early analysis of mine on this question here.
kwik says:
June 7, 2010 at 9:45 am
Yes, it likely is … but so what? Run a low pass filter on the Mauna Loa Observatory data and what do you get? You basically get the original data back, because there is so little high frequency variation in the MLO data.
DirkH says:
June 7, 2010 at 12:00 pm
“Why should the number of humans be proportional to the CO2 concentration? If anything, the number of humans would have to be proportional to the differential of the CO2 concentration. Or do you posit a magical amount of CO2 in the air per living human individual? How should that work?”
kwik says:
June 7, 2010 at 1:12 pm
“Have you checked against the population of thermites? Because if all humans are disappeared, we will for sure be replaced by just as many kilograms of insects, as there are kilograms of humans.”
I do not posit an exact correlation, but at least it’s closer than CO2 and temperature. The amount of CO2 in the lungs or the mass of humans is of course insignificant. Human activity is more than breathing. And somehow the impact on CO2 seems to be the same for a pre-industrial society as a modern one. I think it will be difficult to find ways to reduce CO2, if that is what we want to do, unless this observation is explained.
Max Hugoson says:
June 7, 2010 at 9:49 am
While this comment about enthalpy is true, I don’t think it makes a significant difference in the real world. Take a look at my comment here for an actual measurement of the difference at the Eureka (Canada) weather station.
Willis Eschenbach says:
June 7, 2010 at 1:52 pm
“Run a low pass filter on the Mauna Loa Observatory data and what do you get? You basically get the original data back, because there is so little high frequency variation in the MLO data.”
Depends on the order of the filter, and how low you set the corner frequency, and whether any dominant modes are located at a zero or notch of the filter. Put it through a 12th order Butterworth with 200 year corner frequency, and you will see virtually no recent rise at all.
This is another excellent thread – thank you, Anthony and all. And I particularly value Richard Courtney’s contributions to it.
Richard S Courtney says:
June 7, 2010 at 2:43 am
I do not know if the cause of the increase is in part or in whole either anthropogenic or natural, but I want to know.
Spoken as a true scientist, Sir.
And Richard S Courtney says:
June 7, 2010 at 11:06 am
(My response). You talk of AGW, but for me the accusation is CAGW. So, for me, you left out of your argument:
(4) It is assumed that an increase in mean global temperature, of the magnitude predicted by those who accept the first three assumptions, will have negative consequences for human civilization.
Cheers,
Neil
Willis Eschenbach says
June 7, 1:20 pm
You are again conflating residence time (6-8 years or so) with the half life (much longer)
Not so – residence time is half life / ln 2 (which is 0.693). Thus t1/2 is a bit shorter than residence time (tau).
Steve Fitzpatrick says:
June 7, 2010 at 8:46 am
So, while CO2 absorption certainly takes place, the “carbonation” process is extremely slow …
My understanding of the way concrete/cement works is that over time calcium silicate is formed, which is the hardening process. That is why sand is added. So the nett effect of manufacture and use is the conversion of CaCO3 to CaSiO3, with permanent displacement of CO2.
Will F says:
June 7, 2010 at 11:25 am
Again, please quote what you are disagreeing with.
I had said that the conversion from C (not CO2) to ppmv is ~ 2.13 gigatonnes per ppmv, as that is what I had read. This gives about 820 Gtonnes of C in the atmosphere.
How is the conversion calculated? Hang on, let me do the numbers … the total mass of earth’s atmosphere can calculating by taking the atmospheric pressure and multiplying by the area of the Earth’s surface. Doing this gives you:
1013.25 millibars = 101325 Pascals = 10332.27 Kg/m^2 * 5.11E14 m^2 = 5.28E^18 Kg
CO2 is currently 383 ppmv, This is about 582 ppm by mass. Therefore CO2 in the air comprises 5.28E^18 * .000582 = 3.07E15 Kg, or 3070 gigatons of CO2. Dividing by 383 gives us 8.03 gigatons of CO2 per ppmv of CO2.
These numbers, in turn, needs to be multiplied by the weight of carbon (12) divided by the weight of CO2 (44) to give us weights of C. This calculates out to 2.19 gigatonnes of C per ppmv. I used 2.13 above, as I had not run the actual numbers, and that’s well within the error of the measurements. Someone else said it was 2.18, so their number was better than mine. However, it makes little difference (less than 3%) in my calculations.
Bart says:
June 7, 2010 at 11:34 am
No, I’m not. The ice core data indicates a system at general equilibrium. Exponential decay relates to the decay of pulses of input to a system at equilibrium, not to the flows that make up that equilibrium.
However, it makes no distinction as to which molecules came from where. It only calculates the rate at which the system returns to equilibrium, not which molecules are involved.
“Steinar Midtskogen says:
[…]
I do not posit an exact correlation, but at least it’s closer than CO2 and temperature. […] I think it will be difficult to find ways to reduce CO2, if that is what we want to do, unless this observation is explained.”
It’s a spurious correlation. Replace the number of humans with World GDP total or anything else that grows roughly exponential… say the total of freeway kilometers globally. Without a physical mechanism or hypothesis, there are too many things you can correlate.
(Now some people will say “But what Beenstein and Reingewertz did was analyzing possible causality without looking at a possible physical mechanism so that’s unphysical as well and thus not important.” The answer to that would be: Beenstein and Reingewertz have shown that there cannot be a direct causation of temperature anomaly through total CO2 level because the statistic properties don’t match. They have EXCLUDED a possibility, not suggested a new correlation like you do here.)
Actually, I have a bit of a problem: All this CO2 rising seems to be post 1950 but the industrial age started in the early 1800′s. Parts of England, France, Poland and Germany were covered in soot from the coke and steel production by the 1870′s and the US was ramping up to speed in Pennsylvania but the increases shown n the charts don’t reflect this. Since the 1960′s on, manufacturing has become cleaner with scrubbers, etc – even with China and India. The biggest change that can see to human fuel useage that follows the CO2 usage charts is the automobile.
It is my personal theory, that the increase in CO2 is attributable to the Green Revolution.
Although productivity has increased due to the use of fertilisers etc – this is only the productivity of things we *want* to grow. If you look at a field full of lettuce, yes, there are plenty lettuce, but there is also literal acres of bare soil where nothing is growing. Useful productivity is up, total productivity is down.
Farming is not the art of growing things. I can clear an area of soil and within 2 weeks it will be choked with plants of one sort or another. Farming is the art of killing stuff you don’t want growing, whether they be plants, insects or animals.
The rise is carbon dioxide is all the weeds that don’t grow every year now. That’s a relief for the other plants, which aren’t now choking for air.
Willis Eschenbach says:
June 7, 2010 at 2:44 pm
“No, I’m not. The ice core data indicates a system at general equilibrium. Exponential decay relates to the decay of pulses of input to a system at equilibrium, not to the flows that make up that equilibrium.”
The system has to be continuous. You cannot separate the dynamics of the equilibrium from the dynamics in a neighborhood of the equilibrium like that. It does not describe any physical system in this universe.
Graph of Vostok ice core data found laying around Wikipedia (Wikimedia). It is listed as pubic domain and sourced as US Government work, but wiki version is colorized while the source is black and white, some may find the B&W one easier to read.
Note at the bottom where they try to match up insolation peaks with 18O concentrations. What exactly are they trying to show there?
Other interesting things:
This graph shows (by eyeball estimation) the atmospheric CO2 levels dropped as low as around 180 ppm about 12,000 years ago. However other research concerning plants (link) shows that during the Last Glacial Maximum the plants experienced CO2 concentrations as low as 110 ppm. From this, as opposed to the normal line of inquiry, the question arises as to why the ice cores show such a high level of CO2.
The past 10,000 or so years look very “noisy” with regards to temperature. It is noticeable though how the temperatures seem confined to a certain rage while CO2 concentrations shot up from about 260 to about 285 ppm without an accompanying rise in temperature.
This graph may be compared to this one which was found used at the “Simple English Wikipedia.” It is sourced from Petit et al (1999) using data found at this NOAA-NCDC site. It also shows recorded dust levels (Question, is soot included?) with a note on the linked wiki page saying “Higher dust levels are believed to be caused by cold, dry periods.” As seen by the peaks, the levels of dust have risen considerably since 350,000 years ago.
I am requesting help on “translating” that last wiki page. By the listed edit summary, there was a version championed by and edited by William Connolley, last change on 12 Feb 2006. File history though only lists one version, the current one, dated 15 Feb 2006, from a user not appearing in the edit summary. Was there an earlier version used, the mention of it removed from the File history?
(Side note: For those upset with Wikipedia’s engineered pro-(C)AGW bias, you do not want to see what was done to the “Simple English” version likely to be used by young schoolchildren. Found in Carbon Dioxide, a short and simple “Intro to Science” article: “Overall, this climate change causes global warming, but it can also make winters much longer and colder in some areas.” Ugh.)