This new paper (in review at the discussions section) at Climate of the Past has some interesting approaches using
Oxygen 18 isotope records from benthic foraminiferas acquired in Deep Sea Drilling project (DSDP) on the Kerguelen Plateau off the coast of Antarctica and in the Cape Basin off the coast of Namibia. These drill holes provide
18O records with a resolution of order 10 000 yr across the Eocene-Oligocene boundary thus providing an excellent proxy for deep-ocean temperature.

C, for a doubling of pCO2. Where published values are in units
C/(Wm−2), the published value is multiplied by 3.7 for the purpose of this comparison. Note that Asten’s median value of 1.1 agrees with Douglas and Christy.
Estimate of climate sensitivity from carbonate microfossils dated near the Eocene-Oligocene global cooling
M. W. Asten
School of Geosciences, Monash University, Melbourne, VIC 3800, Australia
Abstract.
Climate sensitivity is a crucial parameter in global temperature modelling. An estimate is made at the time 33.4 Ma using published high-resolution deep-sea temperature proxy obtained from foraminiferal δ18O records from DSDP site 744, combined with published data for atmospheric partial pressure of CO2 (pCO2) from carbonate microfossils, where δ11B provides a proxy for pCO2. The pCO2 data shows a pCO2 decrease accompanying the major cooling event of about 4 °C from greenhouse conditions to icecap conditions following the Eocene-Oligocene boundary (33.7 My).
During the cooling pCO2 fell from 1150 to 770 ppmv. The cooling event was followed by a rapid and huge increase in pCO2 back to 1130 ppmv in the space of 50 000 yr. The large pCO2 increase was accompanied by a small deep-ocean temperature increase estimated as 0.59 ± 0.063 °C.
Climate sensitivity estimated from the latter is 1.1 ± 0.4 °C (66% confidence) compared with the IPCC central value of 3 °C. The post Eocene-Oligocene transition (33.4 Ma) value of 1.1 °C obtained here is lower than those published from Holocene and Pleistocene glaciation-related temperature data (800 Kya to present) but is of similar order to sensitivity estimates published from satellite observations of tropospheric and sea-surface temperature variations.
The value of 1.1 °C is grossly different from estimates up to 9 °C published from paleo-temperature studies of Pliocene (3 to 4 Mya) age sediments. The range of apparent climate sensitivity values available from paleo-temperature data suggests that either feedback mechanisms vary widely for the different measurement conditions, or additional factors beyond currently used feedbacks are affecting global temperature-CO2 relationships.
Discussion Paper (PDF, 1101 KB) Interactive Discussion (Open)
Readers that have access to Climate of the Past can leave a short comment until 30 Nov 2012. You can also watch the open review process as editors and reviewers leave comments. Constructive comments are welcome.
The temperature change also happened over 50,000 years is the way I read it. Of course that was the pace of the CO2 doubling based on their data/argument.
Science will figure it out eventually with a little help from nature. Next 10-15 years will be interesting.
DWR54 says
http://wattsupwiththat.com/2012/10/05/new-paper-on-climate-sensitivity-estimates-1-1-%c2%b1-0-4-c-for-a-doubling-of-co2/#comment-1102668
Henry says
I checked that UAH data once and could not find any decent correlation, whatsoever.
Namely, earth has so many, many places where it stores energy, like in water, in chemicals, in vegetation etc. so that what is bound to come out (energy-out) looks strange and unrecognizable in terms of patterns.
However, in my case I Iooked at maximum temperatures, which is like an evaluation of energy-in. Looking at the deceleration of warming on the maxima, I was stunned to find that it seemed to follow on a bi-nominal curve and the correlation I got for that was 0.998. Eventually I realized that it must be like an a-c-wave and of course that is symmetrical.
http://wattsupwiththat.com/2012/10/03/new-paper-predicts-sst-temperature-based-on-pacific-centennial-oscillation/#comment-1100779
I have already figured out what mechanism causes this wave, more or less.
commieBob says:
October 6, 2012 at 5:27 am
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I can’t see this doubling being linear for a single doubling let alone several doublings. Let’s go the other way. Assuming 512 ppm CO2 and cut it in half. Soon you’re down to 1 ppm and -9.9 degrees cooling. Using the IPCC 4.0 deg/doubling you’re at -36 deg cooling and still CO2 in the atmosphere. So at some point this simple equation must break down otherwise you would get to near absolute zero for ppb levels of CO2. Then go the other way. What has been the maximum CO2 level during the past 250 million years and what has been the average maximum temperature for the earth? I suspect the CO2 levels would be much higher than the extrapolated temperature (based on this formula) would suggest. Various graphs of CO2 and temperature show temperature peaking at about 10 deg warmer than today despite CO2 concentrations over 5,000 ppm. Are these graphs wrong or does the Earth have a natural thermostat?
In my previous post I got it wrong. Using the 1.1 deg/doubling of CO2 gives outrageous CO2 concentrations for a 10 deg increase of the planet. Over 200,000 ppm. This doubling formula doesn’t make sense to me unless you only double once (say from 250 to 500).
Allan MacCrae got it right in the first comment. The concept of a “climate sensitivity” number presupposes many things. In politics this trick is termed “framing”, such that the unwary reader may be lead to assume the veracity of the underlying assumptions which may not even be stated. The concept of a single earth temperature is simply not valid. There is no definition of climate in a useful physical or mathematical sense. Climate sensitivity is a product of the computer models, not a measured physical observation.
Even if there was such a number, it could be close to zero, or could vary so wildly with changing temperatures and CO2 concentrations that it would have no useful purpose. It could be negative in certain circumstances, since if CO2 is able to thermalise IR radiation then the reverse must also be the case.
In the recent post at Bishop Hill on the subject and the Stern Report,
http://bishophill.squarespace.com/blog/2012/10/1/climate-sensitivity-and-the-stern-report.html
The first graph [linked below] is a re-plot of an IPCC figure of “climate sensitivity”. [With unlabelled axis, it is actually the numbers which should be removed.] Look at the shapes of the lines. The smooth flowing curves could just as easily look like a picket fence, or the Dow Jones Index, or could go up and down like the Assyrian Empire. It is not data, it is speculation in model land. They look the way they do because humans wrote computer programs to make them look that way.
http://bishophill.squarespace.com/storage/AR4%20full%20col.png?__SQUARESPACE_CACHEVERSION=1348947304566
By all means we can talk about the sensitivity of climate to CO2, but assigning the concept a number [or a constant] lends it a credibility that has not been demonstrated. If once spurious numbers become accepted as a meaningful representation of the real world, they take on a life of their own and have a habit of becoming targets.
[Check those links again please. Mod]
The paper makes the tacit assumption that CO2 was the cause of the decrease and also the following increase in temperature, which allows one to calculate a “sensitivity”, thereby adding to the overwhelming “evidence” that underlies the settled science of CAGW. And, its a lower more believable value that the stupid skeptics might accept.
Regarding dCO2/dt versus Temperature, CO2 Lags Temperature, Temperature drives CO2, and “Feedback Effects”
I discovered the close relationship between dCO2/dt and temperature in late 2007 and published the paper below on icecap in January 2008. This dCO2/dt relationship is the source of the 9 month lag in CO2 after temperature, also demonstrated in my paper ( although the latter fact was previously noted by Kuo et al in 1990, Keeling et al in 1995, and Veizer in 2005 ).
http://icecap.us/index.php/go/joes-blog/carbon_dioxide_in_not_the_primary_cause_of_global_warming_the_future_can_no/
Then there is the much longer ~~800 year lag of CO2 after T (as measured in ice cores). Note that ~800 years ago was the Medieval Warm Period.
It appears that CO2 lags temperature at all measured time scales.
Each temperature cycle has its own CO2 delay, and its own approximate period (cycle time length).
There may also be one or more intermediate cycles between the above two (the late Ernst Beck believed there was), and other shorter cycles.
There is ample evidence of a daily localized cycle, driven by photosynthesis.
http://co2.utah.edu/index.php?site=2&id=0&img=30
The evidence suggests that varying atmospheric CO2 is not a cause of climate change, it is an effect.
I further hypothesize that fossil fuel CO2 emissions are relatively small compared to natural daily, weekly, seasonal and millennial CO2 flux, and are probably insignificant in this huge dynamic system. Deforestation may have a greater impact on atmospheric CO2 than the combustion of fossil fuels.
No small irony here – if I am correct, both sides of the rancorous “mainstream” global warming debate are wrong. Both sides assume that fossil fuel CO2 emissions are the primary driver of temperature, and are only arguing about the amount of warming (climate sensitivity to CO2, H2O feedbacks positive or negative, etc.). If I am correct, both sides of the mainstream debate have “put the cart before the horse”.
When I wrote my 2008 paper, the ~9-month lag of CO2 after temperature was dismissed as a “feedback effect”. I think this was a cargo-cult response to my sacrilegious hypo that temperature could drive CO2, rather than the generally-accepted opposite. While such “feedback effects” may exist, I believe they are so small as to be insignificant and they may not exist at all. To be specific, I believe that the sensitivity of temperature to a hypothetical doubling of atmospheric CO2 is much less than 1 degree C, which is an upper limit of its magnitude.
We confidently wrote in 2002 at
http://www.apegga.org/Members/Publications/peggs/WEB11_02/kyoto_pt.htm
“Climate science does not support the theory of catastrophic human-made global warming – the alleged warming crisis does not exist.”
Since then there has been no net global warming, and perhaps some modest cooling.
We also predicted the debacle in green energy, where a trillion dollars of scarce global resources have since been squandered on alternative energy nonsense.
“The ultimate agenda of pro-Kyoto advocates is to eliminate fossil fuels, but this would result in a catastrophic shortfall in global energy supply – the wasteful, inefficient energy solutions proposed by Kyoto advocates simply cannot replace fossil fuels.”
In comparison, every dire prediction by the IPCC and the global warming alarmist movement has failed to materialize. There has been no runaway global warming. Corn ethanol and other food-to-fuel programs are humanitarian, economic and environmental disasters. Grid-connected wind and solar power schemes have driven up energy costs, failed to provide useful additional energy, and have destabilized electricity grids.
The environmental movement lost its way in the 1970’s and since then has done much more harm than good to humanity AND the environment.
Agnostic, a few notes. Just notes, nothing personal:
“The reason for the great range of estimates of sensitivity is because the feedbacks are so uncertain. ”
eg. The climatologists are in the same ceteris paribus boat as the economists. We can look at simple tautological first principle notions and derive such things as a 1.1 C feedback on the notion that *nothing else has any effect*. With CO2 alone there would be nothing further to say. But if we state anything about the sensitivity of the climate due CO2 is a large box of nonsense. There is nothing peculiar here to the climate as these are standard notions of dealing with any complex systems.
“The bigger issue is whether to regard CO2 as a forcing or a feedback. ”
This is a pet peeve of mine. If we have a number of Fe atoms in a solid strata then they will interchange photons. Is that a forcing or feedback? The question itself is a nonsense in large part. If you pick a domain within the bulk then all inbound photons from elsewhere in the bulk are ‘forcing’. If you pick a domain within the bulk then all photon transfers within the bulk are feedback. But that last is rather strained itself as we’re only talking about variations in the heat equations. Nonetheless all photons begin and end within the bulk in this notion.
The problem here is that if you’re looking at soil temperature alone, then CO2 is a forcing. If you’re speaking of atmospheric temperature alone then CO2 is a feedback. If you’re speaking of the H2O and CO2, each distinctly, within the atmosphere alone then both are feedbacks on the atmospheric temperature and forcings upon one another.
In the large part the use of ‘forcing’ and ‘feedback’ are simply obfuscation to avoid dealing with ensemble differences in the heat equations. By trying to take a half-argument into spooky quantum domains. It is as unhelpful as it is unnecessary; and it is the first refuge of free-energy perpetuum mobile scoundrels
Mosh’s comment on the scaling factors is interesting. They actually have the uncertainty factors shown in an equation, what a marked change from the usual crap that purports to be science. Not only that, but they state that the ice volume correction can vary by ~30%, and the deep ocean temp response could vary ~33%. So with that information, what is your comment Steven? Too high, too low?
While I’m posting, an errant thought popped up, given that there appears to be abiological genesis of methane, there should be an equally interesting equation for CO2 generation. A subsequent migration of the fluid (high pressure – above the triple point of 22 bar) could result in massive increases of CO2. This would occur during significant world shaping geological events, over short geological times, but relatively long times compared to our life spans. Obviously this occurs through vulcanism, but I’m talking about non-volcanic activity through faults. Just an errant thought.
If you want a better view of the data than is shown in the paper (like Mosher, it is quite cryptic), here are the temperature estimates and all of the CO2 estimates over the last 40 million years (the data used in the paper are in this chart but I am using all the reliable numbers that there are so rather than 8 data points, there is a total of 16,000 datapoints here between temps and CO2).
http://s19.postimage.org/59fwa1fv7/CO2_Temps_Last40_Mys.png
Hmm…if you plot the sensitivity changes in the literature with time, the figure seems to be declining to the 1.1 number. A long way from the heady AR4 days. Do we have AR5 datat to put onl the curve yet?
Deep-ocean temperature increase can cause CO2 rise more than the other way around. This publication is more suggestive of an upper limit on the potential magnitude of temperature change from CO2 than of its exact value, as in either around a degree Celsius or less from a CO2 doubling (not demonstrating a lower limit). Aside from that correlation versus causation issue, it is good to see a relatively honest study, though.
Slightly off-topic:
Over a time period of thousands of years like that, the deep oceans can change substantially in temperature, as in a large fraction of a degree. Such, though, should cause no confusion about far shorter timescales. The temperature change they can have on short timescales like years and decades is almost zero. (For instance, the belief that global warming would quickly warm the ocean floor and release methane hydrates enmasse, aside from being disproven by past history, demonstrates the utter and complete mathematical illiteracy of typical environmental activists, the same as on other topics like radiation and nuclear power). There has been next to nil deep-ocean warming during current “global warming,” in terms of not a tenth of a degree, as is the only possible result due to the quantitative magnitude of the thermal inertia and effective insulation of water thousands of meters deep; the top several meters of ocean surface water change far more than water a thousand times their depth below.
For the extreme lack of correlation between CO2 and temperature change when the latter is happening on timescales not long enough to change deep ocean temperature much, see:
http://wattsupwiththat.com/2012/04/11/does-co2-correlate-with-temperature-history-a-look-at-multiple-timescales-in-the-context-of-the-shakun-et-al-paper/
especially, for the past 200 to 11000 years:
http://www.climate4you.com/images/GISP2%20TemperatureSince10700%20BP%20with%20CO2%20from%20EPICA%20DomeC.gif
As I understand it, this “sensitivity” is simply the regression b coefficient in the equation T=a+b*ln(CO2). Normal regression statistics assumes the values for CO2 are accurrately fixed(especially with time) and the relationship (b) and it’s confidence limits can be calculated using a least squares technique on the fixed data. The problem with using proxie data and normal statistics to test the validity of this simple model is that neither temperature nor CO2 are accurately fixed. This is easily demonstrated by transposing the equation to ln(CO2)= T/b-a/b and using normal regression techniques to calculate the coefficients. If the values were accurate, the calculated coefficients should be the same. Because neither is accurate, the coefficients will not be the same. Their differencies will depend on the relative accuracy of each. I don’t think using proxie data to test the validity of an oversimplified model of the temperature/CO2 relationship is going to do a good job. Trying to do it on a global scale is beyond my understanding.
They have made a nice measurement of CO2 sensitivity to temperature.
===========================================================
Steve Short says:
October 5, 2012 at 8:57 pm
Steve: One can imagine the Kelvin and Rossby waves that must have reflected back and forth prior to the opening of Drake’s Passage. At that latitude…
Why bother with the iron and why the Southern Ocean and not the subtropical dead zones? The Southern Ocean is probably nearly at iron sufficiency from the upwelling and the CO2 from the deep water is actually one of the vaunted nutrients in this upwelling.
“During the cooling pCO2 fell from 1150 to 770 ppmv. The cooling event was followed by a rapid and huge increase in pCO2 back to 1130 ppmv in the space of 50 000 yr. The large pCO2 increase was accompanied by a small deep-ocean temperature increase estimated as 0.59 ± 0.063 °C.”
I have a few questions.
Wouldn’t a CO2 range of 1150ppm to 770ppm make us Venus in today’s climate debate? (jk)
Is this a study of deep ocean temperatures and the impact of CO2 on those temperatures? Or the impact of temperature on CO2 at the bottom of the ocean? If so considering the thermal layers of the ocean and the properties of gas at different pressures, does this have anything to do with the atmosphere?
Do we know what impacts deep ocean temperatures?
Looks like confidence is waning since 2004!
Allan MacRae says:
October 5, 2012 at 7:59 pm
I may have read this abstract too quickly, but to me the term “climate sensitivity” assumes atmospheric CO2 drives global temperature, whereas the data I am familiar with clearly shows that CO2 lags temperature and is driven at least in part by temperature.
A 1.1°C rise in temperature will double CO2. You heard it here first.
It seems plausible to me that if the average global ocean surface temperature were to rise by 1.1C then that would result in a doubling of the atmospheric CO2 content due to a change in the balance between oceanic absorption and oceanic release of CO2.
All that would be necessary would be for the climate zones to shift latitudinally which would in turn shift the latitudinal point in each hemisphere where equatorial release of CO2 becomes overcome by polar absorption of CO2.
For example, if the climate zones shift poleward as was observed then the dominance of emission over absorption would increase and if the climate zones shift equatorward then emission would decline relative to absorption.
It has been observed that the climate zones did shift poleward whilst CO2 rose. Indeed that poleward shifting has been in progress since the Little Ice Age so the balance of absorption / release has been changing throughout that period.
In fact there are many negative feedback processes such as evaporation rates and convection that serve to make it very difficult for ocean surface temperatures to rise significantly in the first place hence the long term stability of the global climate system.
If we accept that the world has warmed by about 0.7C over the past 150 years then the observed increase in atmospheric CO2 is not far from what would be expected on that basis.
However, the warming oceans are far more likely to have been caused by reduced cloudiness at a time of more active sun than by our puny emissions of CO2.
I much prefer that simple diagnosis against the theory of anthropogenic global warming.
Allan MacRae says
The evidence suggests that varying atmospheric CO2 is not a cause of climate change, it is an effect.
Henry says
Actually it is a chemical reaction. Remember that there are giga tons and giga tons of carbonate dissolved in the oceans which is what makes the seas salty, mostly.
So the reaction is
heat + HCO3- ==> CO2 (g) + OH-
(similar to boiling water to remove carbonate)
This reaction has been gaining momentum from ca. 1927
http://blogs.24.com/henryp/2012/10/02/best-sine-wave-fit-for-the-drop-in-global-maximum-temperatures/
that would be quite a bit before Al Gore climbed his Jacob’s ladder…..LOL
an inconvenient truth, indeed…for him, that is.
Kelvin Vaughan says:
October 6, 2012 at 9:58 am
A 1.1°C rise in temperature will double CO2. You heard it here first.
Stephen Wilde says:
October 6, 2012 at 10:25 am
It seems plausible to me that if the average global ocean surface temperature were to rise by 1.1C then that would result in a doubling of the atmospheric CO2 content
That violates Henry’s Law: an increase of 1°C of seawater at the surface results in an increase of maximum 16 ppmv CO2 in the atmosphere (~8 ppmv in reality, as vegetation reacts in opposite ways to temperature). That is the difference in solubility of CO2 in seawater, no matter if that is for the ocean’s surface or for the total ocean depth. It is the pCO2 pressure (difference) which counts, not the mass. That works as well as static as dynamic (with equatorial upwelling deep ocean waters continuously discharging CO2 and polar waters continuously removing CO2 into the depth).
Thus a temperature increase of 1.1°C from the deep oceans, if that is also found at the surface, would give an increase of maximum ~18 ppmv in the atmosphere, that is by far not the increase from 770 to 1130 ppmv as estimated from the deep ocean sediment cores. In that case, CO2 may be the driver of the temperature increase of the deep oceans and one can estimate the climate sensivity.
But rests to know where that extra CO2 was coming from and we still may have a spurious correlation where, except for the small influence of temperature on CO2 levels, CO2 and temperature were independently moving up, but maybe with a common cause.
HenryP says:
October 6, 2012 at 10:30 am
So the reaction is
heat + HCO3- ==> CO2 (g) + OH-
The increase of temperature increases the pCO2 in water, compared to the atmosphere, leading to more release of CO2, a reduction of total dissolved inorganic carbon in seawater (DIC) and an increase in pH. As we currently observe an increase in DIC over time and a decrease in pH of the seawater surface layer, it may be clear that temperature is not the driving force for most of the increase over the past decades… See:
http://www.bios.edu/Labs/co2lab/research/IntDecVar_OCC.html
FWIT for WUWT readers here’s a site on Race Rocks in the Strait of Juan De Fuca that tracks water temperature and salinity: http://www.racerocks.com/racerock/data/seatemp/seatemp.htm It tracks temperature back to 1921 and salinity back to 1936.
I think the curious fact that the CO2 seems to come after the temperature rise is best explained by the Gore Space-Time Loop Effect (STLE).
First the temperature goes up. Then some time later (perhaps several hundred years) the CO2 rises. This sudden rise triggers the STLE. The gas [here CO2] around the planet [here Earth] separates into two distinct layers—a Non-Precipitating Layer (NPL) and a Precipitating Layer (PL). The PL remains where it is and gives the impression in precipitation of the entire mass. The NPL on the other hand opens a rift in the Space-Time continuum and goes back to a time before the temperature rise. Here it remains and by the GHG effect raises the temperature—(but , since it is NP, never shows up in the snow and ice that time records). It remains there until it reaches its proper time and then loops back again, etc.
Actual proof of the STLE will require new solutions to Einstein’s equations. However, it is the consensus view of climate scientists that it is empirically true—so the appropriate solutions will, no doubt, be found soon.
rdr200
1.1+- 0.4 is roughly a 3 sigma result, it suggests the sign of the forcing is positive but not much more than that.
Two events, which will occur for certain in the not very distant future – practical electric cars and
nuclear power – will virtually eliminate sizable carbon emissions from us humans, and thereby transform this issue into an academic one. So that’s the way I view it – a question that will be, at best, of historic interest to future generations of non-climatologists. Those hysterical souls who
have acquired carbonophobia should be campaigning for cheap batteries and nuclear reactors
(Generation 4 reactors, fast reactors, that is).
Ferdinand,
I said elsewhere why your Henry’s Law objection is not valid.
Simply, If the balance between release and absorption changes then the atmospheric CO2 levels will change and Henry’s Law provides no constraint because it only works on a point by point basis locally or regionally and not globally.
Furthermore, winds need to be taken into account whereby the air circulation can take CO2 away from one location allowing more to be released whilst it backs up elsewhere unable to be absorbed.
And, in general, windflow is away from warm CO2 sources towards CO2 sinks so one can get a good deal of backing up in the atmosphere above the sinks before Henry’s Law causes any restraint on emissions from the sources.
Bear in mind that warming equatorial oceans will first increase release in the equatorial oceans and then when that warmth circulates poleward it will reduce absorption in polar regions thus compounding the net effect.
Your simplistic reliance on Henry’s Law bears little relation to reality.