Guest post by Tamino
In a paper, “Heat Capacity, Time Constant, and Sensitivity of Earth’s Climate System” soon to be published in the Journal of Geophysical Research (and discussed briefly at RealClimate a few weeks back), Stephen Schwartz of Brookhaven National Laboratory estimates climate sensitivity using observed 20th-century data on ocean heat content and global surface temperature. He arrives at the estimate 1.1±0.5 deg C for a doubling of CO2 concentration (0.3 deg C for every 1 W/m^2 of climate forcing), a figure far lower than most estimates, which fall generally in the range 2 to 4.5 deg C for doubling CO2. This paper has been heralded by global-warming denialists as the death-knell for global warming theory (as most such papers are).
Schwartz’s results would imply two important things. First, that the impact of adding greenhouse gases to the atmosphere will be much smaller than most estimates; second, that almost all of the warming due to the greenhouse gases we’ve put in the atmosphere so far has already been felt, so there’s almost no warming “in the pipeline” due to greenhouse gases already in the air. Both ideas contradict the consensus view of climate scientists, and both ideas give global-warming skeptics a warm fuzzy feeling (but not too warm).
Despite the celebratory reaction from the denialist blogosphere (and U.S. Senator James Inhofe), this is not a “denialist” paper. Schwartz is a highly respected researcher (deservedly so) in atmospheric physics, mainly working on aerosols. He doesn’t pretend to smite global-warming theories with a single blow, he simply explores one way to estimate climate sensitivity and reports his results. He seems quite aware of many of the caveats inherent in his method, and invites further study, saying in the “conclusions” section:
Finally, as the present analysis rests on a simple single-compartment energy balance model, the question must inevitably arise whether the rather obdurate climate system might be amenable to determination of its key properties through empirical analysis based on such a simple model. In response to that question it might have to be said that it remains to be seen. In this context it is hoped that the present study might stimulate further work along these lines with more complex models.
What is Schwartz’s method? First, assume that the climate system can be effectively modeled as a zero-dimensional energy balance model. This would mean that there would be a single effective heat capacity for the climate system, and a single effective time constant for the system as well. Climate sensitivity will then be
S=τ/C
where S is the climate sensitivity, τ is the time constant, and C is the heat capacity. Simple!
To estimate those parameters, Schwartz uses observed climate data. He assumes that the time series of global temperature can effectively be modeled as a linear trend, plus a one-dimensional, first-order “autoregressive” or “Markov” or simply “AR(1)” process [an AR(1) process is a random process with some ‘memory’ of its previous value; subsequent values y_t are statistically dependent on the immediately preceding value y_(t-1) through an equation of the form y_t = ρ y_(t-1) + ε, where ρ is typically required to be between 0 and 1, and ε is a series of random values conforming to a normal distribution. The AR(1) model is a special case of a more general class of linear time series models known as “Autoregressive moving average” models].
In such as case, the autocorrelation of the global temperature time series (its correlation with a time-delayed copy of itself) can be analyzed to determine the time constant τ. He further assumes that ocean heat content represents the bulk of the heat absorbed by the planet due to climate forces, and that its changes are roughly proportional to the observed surface temperature change; the constant of proportionality gives the heat capacity. The conclusion is that the time constant of the planet is 5±1 years and its heat capacity is 16.7±7 W • yr / (dec C • m^2), so climate sensitivity is 5/16.7 = 0.3 deg C/(W/m^2).
One of the biggest problems with this method is that it assumes that the climate system has only one “time scale,” and that time scale determines its long-term, equilibrium response to changes in climate forcing. But the global heat budget has many components, which respond faster or slower to heat input: the atmosphere, land, upper ocean, deep ocean, and cryosphere all act with their own time scales. The atmosphere responds quickly, the land not quite so fast, the deep ocean and cryosphere very slowly. In fact, it’s because it takes so long for heat to penetrate deep into the ocean that most climate scientists believe we have not yet experienced all the warming due from the greenhouse gases we’ve already emitted [Hansen et al. 2005].
Schwartz’s analysis depends on assuming that the global temperature time series has a single time scale, and modelling it as a linear trend plus an AR(1) process. There’s a straightforward way to test at least the possibility that it obeys the stated assumption. If the linearly detrended temperature data really do behave like an AR(1) process, then the autocorrelation at lag Δt which we can call r(Δt), will be related to the time constant τ by the simple formula
r(Δt)= exp{-Δt/τ}.
In that case,
τ = – Δt / ln(r),
for any and all lags Δt. This is the formula used to estimate the time constant τ.
And what, you wonder, are the estimated values of the time constant from the temperature time series? Using annual average temperature anomaly from NASA GISS (one of the data sets Schwartz uses), after detrending by removing a linear fit, Schwartz arrives at his Figure 5g:
Using the monthly rather than annual averages gives Schwartz’s Figure 7:
If the temperature follows the assumed model, then the estimated time constant should be the same for all lags, until the lag gets large enough that the probable error invalidates the result. But it’s clear from these figures that this is not the case. Rather, the estimated τ increases with increasing lag. Schwartz himself says:
As seen in Figure 5g, values of τ were found to increase with increasing lag time from about 2 years at lag time Δt = 1 yr, reaching an asymptotic value of about 5 years by about lag time Δt= 8 yr. As similar results were obtained with various subsets of the data (first and second halves of the time series; data for Northern and Southern Hemispheres, Figure 6) and for the de-seasonalized monthly data, Figure 7, this estimate of the time constant would appear to be robust.
If the time series of global temperature really did follow an AR(1) process, what would the graphs look like? We ran 5 simulations of an AR(1) process with a 5-year time scale, generating monthly data for 125 years, then estimated the time scale using Schwartz’s method. We also applied the method to GISTEMP monthly data (the results are slightly different from Schwartz’s because we used data through July 2007). Here’s how they compare:
This makes it abundantly clear that if temperature did follow the stated assumption, it would not give the results reported by Schwartz. The conclusion is inescapable, that global temperature cannot be adequately modeled as a linear trend plus AR(1) process.
You probably also noticed that for the simulated AR(1) process, the estimated time scale is consistently less than the true value (which for the simulations, is known to be exactly 5 years, or 60 months), and that the estimate decreases as lag increases. This is because the usual estimate of autocorrelation coefficients is a biased estimate. The word “bias” is used in its statistical sense, that the expected result of the calculation is not the true value. As the lag gets higher, the impact of the bias increases and the estimated time scale decreases. When the time series is long and the time scale is short, the bias is negligible, but when the time scale is any significant fraction of the length of the time series, the bias can be quite large. In fact, both simulations and theoretical calculations demonstrate that for 125 years of a genuine AR(1) process, if the time scale were 30 years (not an unrealistic value for global climate), we would expect the estimate from autocorrelation values to be less than half the true value.
Earlier in the paper, the AR(1) assumption is justified by regressing each year’s average temperature anomaly against the previous year’s and studying the residuals from that fit:
Satisfaction of the assumption of a first-order Markov process was assessed by examination of the residuals of the lag-1 regression, which were found to exhibit no further significant autocorrelation.
The result for this test is graphed in his Figure 5f:
Alas, it seems this test was applied only to the annual averages. For that data, there are only 125 data points, so the uncertainty in an autocorrelation estimate is as big as ±0.2, much too large to reveal whatever autocorrelation might remain. Applying the test to the monthly data, the larger number of data points would have given this more precise result:
The very first value, at lag 1 month, is way outside the limit of “no further significant autocorrelation,” and in fact most of the low-lag values are outside the 95% confidence limits (indicated by the dashed lines).
In short, the global temperature time series clearly does not follow the model adopted in Schwartz’s analysis. It’s further clear that even if it did, the method is unable to diagnose the right time scale. Add to that the fact that assuming a single time scale for the global climate system contradicts what we know about the response time of the different components of the earth, and it adds up to only one conclusion: Schwartz’s estimate of climate sensitivity is unreliable. We see no evidence from this analysis to indicate that climate sensitivity is any different from the best estimates of sensible research, somewhere within the range of 2 to 4.5 deg C for a doubling of CO2.
A response to the paper, raising these (and other) issues, has already been submitted to the Journal of Geophysical Research, and another response (by a team in Switzerland) is in the works. It’s important to note that this is the way science works. An idea is proposed and explored, the results are reported, the methodology is probed and critiqued by others, and their results are reported; in the process, we hope to learn more about how the world really works.
That Schwartz’s result is heralded as the death-knell of global warming by denialist blogs and Sen. Inhofe, even before it has been officially published (let alone before the scientific community has responded) says more about the denialist movement than about the sensitivity of earth’s climate system. But, that’s how politics works.
Goedel says
Re 49:
Cutting every paper that presented alternative approaches would have a chilling effect on the science. You can’t just start treating scientific papers like op-ed pieces, even if some other people/senators/etc choose to.
ray ladbury says
Re 50. Goedel, I take it you haven’t been to too many scientific conferences. Schwartz published a paper that was half-baked. He is being criticized for that–that’s science. No one has attacked his motives, his character or cast aspersions on his parentage. He will emerge from this burned but with his scientific reputation intact.
Re #47. Dallas, I would be more charitable toward the “skeptics” if they didn’t throw themselves at every crackpot theory that came along, only to abandon it when it becomes clearly untenable and latch onto the next. Or abandon theories altogether and say that a warmer world will be good for us. Maybe I’d be more sympathetic if they published in peer-reviewed scientific journals (as Schwartz did–a lame paper, but at least peer reviewed) rather than the Wall Street Journal Op Ed page. Or maybe I’d be more sympathetic if they didn’t keep cycling through the same tiresome, thoroughly refuted arguments over and over–or hell, if they’d just learn some science.
Rod B says
Gee, the near-frenzied reaction here to a serious scientist boring a couple of little test holes in the theory is a sight to behold. I can kinda understand the reaction to some of the skeptics also going ga-ga the other way, but, really! Why don’t you just quietly write him off as an outlier like Al Gore would?
Timothy Chase says
Goedel (#50) wrote:
My own view comes in part just from observing what has taken place in evolutionary biology – particularly as it has been attacked by creationists of one stripe or another.
Oftentimes the evidence for one thing or another will be tentative, and what may have been the dominant view at one time may give way to another. There will be a great many disagreements – and those disagreements can get misrepresented in such a way that it will sound like they are uncertain of whether or not evolution took place, or like there is no solid evidence, or perhaps it will just be a certain turn of phrase or provocative way of expressing an idea that when ripped out of context can make it sound like the entire foundation of evolutionary biology is crumbling or turned to dust long ago.
Stephen J. Gould was often the object of these sorts of misrepresentations (the infamous “absence of transitionals” remark where he was arguing against gradualism and in favor of punctuated equilibria springs to mind) – as has been Richard Dawkins and a great many others. In fact an entire cottage industry was built out of this sort of thing in which entire books of misquotations were assembled for the purpose of smearing the science. Evolutionary biologists even have a term for this creationist practice: “quote-mining.”
What do you do in the case of such ideologically-motivated misrepresentation? Never admit to any disagreements? Never admit to any uncertainties or reversal of views? Never try to express things in a paradoxical manner that illuminates one aspect or another in a thought-provoking manner?
No.
You go about your business just exactly as you would in the absence of such politicization. To do otherwise by trying to downplay disagreements, uncertainties or simply forgoing those shiny little turns of phrases would be to let the creationists distort the science. If you downplay the disagreements or uncertainties you will transform by imperceptible degrees the science into just the sort of dogma the creationists would raise in its place. And if you are constantly worrying about how you express your ideas so as to avoid misrepresentation then you will be less able to devote your attention to the ideas themselves and to communicating them most effectively.
That has to be your focus.
*
Now in the current context, sure, the essay probably should have been caught by peer review. Better yet, the author should have floated the paper past some individuals more familiar than he himself was. But that isn’t censorship. That is just how science is done.
Judging from what I have seen in terms of criticism, the paper wasn’t that well thought-out. There are plenty of papers which don’t get published – and like other authors, scientists have to get used to rejection. It comes with the territory. Peer review is intended to insure that those which do get published are those of higher quality. But sometimes it doesn’t work that well. This would appear to be one of those instances.
However, with regard to the more innovative papers, it is quite possible that they will be turned away by one reviewer or journal, but there will be others. And just about any journal of caliber will want to publish the more cutting-edge papers that people will be refering to twenty years from now. Thats how they attract readers – and that is how they attract authors.
*
Anyway, I am not sure that I am disagreeing with either you or the individual that you were responding to. But I figured I would share my thoughts.
Dave Rado says
Re. #46:
I agree. And I’m very disappointed with the way he responded to Forster et al’s reply to his misplaced criticisms of the IPCC projections – in his response he appears to have missed the point entirely.
re. #53, he hasn’t bored any holes (read Tamino’s article), but the blogosphere and some sections of the media are full of misleading attempts to pretend that he has.
James Annan says
I’ve weighed in here with a more detailed look at some other aspects of the analysis, if anyone is interested.
Nick Stokes says
I’m surprised that little attention has been paid to this Schwartz passage, starting at the bottom of p 13
The answer to the first question is a big yes. And without detrending, he gets an answer consistent with other modelling! True, the subsets give inconsistent results, but that just shows Tamino’s point about the inadequacies of an AR1 model.
Wayne Davidson says
A couple of thoughts, Alastair predicted a rapid melting of the Arctic Ocean ice cap, and I share his frustration that very little attention is given to this apparent step up in a strong warming trend. #30, Tim, ESA did a splendid job in that piece, but it fails to connect, resonate with the lay. A film, a reporter or a scientist here on the edge and over of what is left of the last summer polar ocean ice sheet would carry a whole lot of interest. Its something that some scientists fail to understand, the process of communicating science must be done in terms of common denominators, in this case reach as many people as possible, especially reason with them in immediate totally sincere term (filming reality), in this case capturing nothing but sea water where ice use to be.
More a propos, Schwartz idea of using heat capacity of the atmosphere has merits, but not in the formulations he proposed. Heat Capacity has a direct relation with Lapse rates, its not a surface thing. There are strange lapse rate trends up here which are related to Cp. I have not read a paper dealing with this yet.
pete best says
Seems to me that this paper says more about peer review and scientific journals than anything else. Considering that this paper cannot possibly hold water in the light of close scrutiny and hence it makes you wonder about some of the scientific process. As the paper pertained to climate change (which is a political hot potatoe) it may have been that the journal decided to publish it to generate some publicity and to be held up a a beacon of denialists science. Another storm in a tea cup.
On another note, I cannot believe the amount of ordinary people who simply cannot accept climate change as real due to the political process using it as a means of generating revenue via taxation.
What a problem.
Timothy Chase says
Nick Stokes (#57) quotes Schwartz:
… then responds:
Nick, I believe you are going to like the post by James Annan which he points us to in #56. He approaches the same insight as Tamino, but from a complementary angle in which he looks at the distributions. He also suggests that Schwartz’s reaction so far to criticism has been less than exemplary.
JoeMa says
I’m a layman trying to understand this — would appreciate any comments or advice.
My questions: is it correct that climate sensitivity is such that anthropogenic global warming started in the early 20th century (shortly after industrialization?). I often seen temperature graphs and atmospheric CO2 graphs showing that, e.g: http://www.aip.org/history/climate/20ctrend.htm#temp2002, and http://en.wikipedia.org/wiki/Image:Global_Carbon_Emission_by_Type.png
Is the general scientific consensus that anthropogenic global warming started in the early 20th century?
If so this would imply an extreme climate sensitivity, as the anthropogenic CO2 emissions during that period were very small relative to today. Would appreciate any comments or direction on this.
Ray Ladbury says
JoeMa,
I do not think it is correct to say that it “started” in the 20th century. Certainly Arrhenius et al. had anticipated the effect in the mid to late 19th century. However, keep in mind that we expect warming to follow fossil fuel consumption, and most of the fossil fuel was consumed in the 20th century–at an exponentially rising pace.
Alastair McDonald says
What I am trying to say is that while Tamino, James Annan, Stephen Schwartz et al. are arguing about the gradient of a straight line drawn through the ups and downs of the global temperature record, the climate system itself is going over a tipping point!
BTW. The reason that the SST has not shown a greater rise is because it has been cooled by the melting ice from the Arctic. Without that cold water flowing int them, not only will the warming of the oceans increase, the Arctic will also absorb more heat with an even greater rise in SST. The slow thinning of the Arctic sea ice over the last 20 year has masked the effects of global warming, just as it is supposed anthropogenic aerosols have.
The problem is that the scientists get carried away with their fancy mathematics and forget that they are working with the real world which is fractal and defies simple approximations.
guthrie says
JoeMa- no, the scientific consensus is not that AGW started in the early 20th century. The warming at that time can be explained by changes in solar output and other forcings.
Vernon says
RE: 62 What tipping point? If you match the Arctic and Antarctic, less sea ice in the Arctic, more sea ice in the Antarctic. The north is getting warmer and the south is getting colder, which climate change theory predicts will happen.
John M says
I’m also a layman trying to the understand global warming. I realize this question may be off topic for this thread but I don’t understand this site well enough to figure out where to ask it.
I’ve been looking at the AR4 report and apparently don’t understand the pictures at Chapter 3 pg 675 which seem to show the modeled signature of CO2 driven warming vs latitude as a higher rate of warming in the troposphere near the equator. This seems to conflict with the picture in the FAQ on pg 104 where the measured troposphere warming is lower in a band at the equator and higher toward the poles.
Am I misunderstanding the pictures or is there some other effect that I don’t know about? (I apologize for the newbieness of the question but I don’t know where else to ask.)
Timothy Chase says
guthrie (#64) wrote:
Actually, according to NASA’s best estimates, the forcings due to anthropogenic greenhouse gases have exceeded the positive forcings due to solar variability as far back as the 1880s – although they were almost neck-and-neck at that point.
However, climate sensitivity is approximately 3 C per doubling of CO2. We know that much from the paleoclimate record. Perhaps the biggest question mark at this point (besides political inertia) is positive feedback through the carbon cycle – which means we don’t have to worry about just our emissions, but what comes from the permafrost in the decades ahead as the globe warms, methane hydrates, and the possibility of the ocean becoming a net emitter – with its ability to absorb our emissions already declining.
Of course it doesn’t help that we are seeing so much of the cryosphere melting away. Black carbon from our pollution – which may be responsible for much of the melt occuring in both the arctic and with the glaciers (e.g., the Tibetean Plateau). Not something “we” had to deal with before we got here – so the paleoclimate record may not be as helpful a guide in that respect.
The pollution could actually help to get the positive feedback from the carbon cycle to kick in sooner rather than later by warming the northern latitudes. 3 C sensitivity is at equilibrium – after all the various feebacks between rising temperatures and the carbon cycle have taken place. We are a considerable distance from that equilibrium at this point, and that distance is growing with continued high emissions.
Hank Roberts says
JoeMa — also have a look at the Index (click at top of each page).
This thread for example discusses “The hypothesis (Ruddiman, 2003) that early agriculture caused large enough emissions of greenhouse gases millennia ago to offset a natural climatic cooling ….”
https://www.realclimate.org/index.php/archives/2005/12/early-anthropocene-hyppothesis/langswitch_lang/in
John Finn says
Can we make up our minds about the likely length(s) of any time lags. When Schwartz uses a relatively short lag to conclude a low sensitivity to forcing – that’s not right, but when Lockwood finds that any solar connection to climate change ended in 1987 (should be 1991 anyway) – it’s ok to assume no lag at all.
Re #21 Wayne Davidson says
I must add that the CO2 X2 sensitivity is about to pass the +1 C mark.
I’m not exactly sure what this means or how the conclusion was reached. But we know it’s pretty much accepted that most (probably all) the warming before 1940 was solar driven and that ALL solar-related parameters (i.e. TSI, solar flux, cosmic rays etc) indicate that temperatures should be higher in the 1990s than in 1940. It seems a bit speculative, therefore, to make any assumptions with respect to CO2 sensitivity.
Jack Roesler says
I just googled this paper by Schwartz, and found this very informative article: http://gristmill.grist.org/print/2007/8/21/102318/112?show_comments=no
The author, Joseph Romm, has given me much additional information to use in dealing with the deniers and skeptics that abound in my area. Once again, not the least of which are the radio talk show hosts, and their regular listeners and guests, who almost unanimously see AGW as being a hoax.
Mike T says
Alastair, #63, many of us are very frustrated that nothing seems to be getting done on what is the greatest problem facing mankind. First, recognize that scientists also do not want either the effects of global warming or the governmental actions that will be necessary to avoid it. It is both necessary to do the homework and the action of presenting the science and mathematics helps the scientists societally and mentally. Second, realize that extravagant fossil fuel use is being supported by the powers that be in the US and millions are being spent to maintain the energy status quo. Then go beyond these blogs and a lot is happening. Global warming is an everyday conversation now for millions of people. Much of the groundwork to accomplish some significant changes is being done quietly at this moment. Public opinion is also “fractal”. One big climatic event and massive change may be demanded by a populace now seemingly asleep at the controls.
Will it come soon enough to avoid very bad things from happening? None of us know the answer to that. We can only hope and try not to be frustrated. I lecture on AGW when I can at the local high and middle schools to help both the students and myself. Good therapy. Highly recommended for all readers.
Finally, good point on the Arctic SST rise and how it has been masked by the thinning of the sea ice.
Jim Eager says
Re 65 Vernon: “What tipping point? If you match the Arctic and Antarctic, less sea ice in the Arctic, more sea ice in the Antarctic. The north is getting warmer and the south is getting colder, which climate change theory predicts will happen.”
The north and south polar regions are quite dissimilar. Where the Arctic is mostly (two thirds?) ocean surrounded by large continental land masses, with only Greenland supporting a permanent ice cap, the Antarctic is almost entirely a single large ice-capped land mass entirely surrounded by ocean. It’s therefore no surprise that the climate of the two polar regions is behaving quite differently.
The melting of the Arctic ice sheet is a tipping point because it is changing the albedo of the Arctic, and will lead to the rapid warming of both exposed Arctic Ocean waters and the adjacent land areas, allowing them to release sequestered CO2 and methane, leading in turn to even more warming and an accelerated destabilizing of the Greenland ice cap.
The melting of Antarctic sea ice and the more gradual warming of the West Antarctic peninsula, on the other hand, simply can not have a similar effect on a similar time scale. The ice mass of Antarctica, being ~8 times as large in area as Greenland’s, has a vastly greater damping effect, plus the unimpeded water and air mass circulation around the Antarctic continent further insulates it from the more rapidly warming seas and atmosphere of more temperate southern hemisphere latitudes. Moreover, there are no tundra stores of CO2 and methane beneath the Antarctic ice sheet to be released.
catman306 says
‘All of the Earth’s components are interrelated in one way or another.’
Comment by Lawrence Brown
And the extremely complex interrelationships of the Earth’s components may not instantly reveal themselves. There are all kinds of time scales constantly interacting. So the effects of any change may not appear for hours, days, years, decades, centuries, millennia.
I’d bet many skeptics concern themselves with the shorter time scales, quarterly or annual and don’t spend much time considering what may happen to their grandchildren’s world in a hundred years. Most people want to do the right thing, the correct action that will improve their lives and their family’s, but do they give much thought to the time horizon of their vision? That temporal dimension certainly effects what they judge to be ‘the right thing’. Doing the right thing now (like continuing to burn fossil fuel) may have disastrous effects years, decades or centuries from now. What an incredibly complex and dangerous experiment the Industrial Revolution has become for our species and environment. I fear that some of the most dramatic (to date) are just a few years away.
Lou Grinzo says
Great discussion here, even if 95% of it is way above my pay grade.
I do have to wonder, though, how water vapor plays into all this as a feedback. I just read a press release (link below) about a new paper on this:
“Using 22 different computer models of the climate system and measurements from the satellite-based Special Sensor Microwave Imager (SSM/I), atmospheric scientists from LLNL and eight other international research centers have shown that the recent increase in moisture content over the bulk of the world’s oceans is not due to solar forcing or gradual recovery from the 1991 eruption of Mount Pinatubo. The primary driver of this ‘atmospheric moistening’ is the increase in carbon dioxide caused by the burning of fossil fuels.”
I notice that one part of the release says: “The atmosphere’s water vapor content has increased by about 0.41 kilograms per cubic meter (kg/m²) per decade since 1988, and natural variability in climate just can’t explain this moisture change.” There’s something wrong with those units–“cubic meters” vs. “m²”, isn’t there? Are they measuring a volume of atmosphere one square meter in area and stretching from the surface to the “top” of the atmosphere?
http://www.llnl.gov/pao/news/news_releases/2007/NR-07-09-01.html
SteveSadlov says
RE: #47 – Further to that, it’s a damping coefficient problem. The coefficients themselves are likely a sum of lesser coefficients, some of them constants and some of them functions. An analogy might be a network of passive and active filters. The debate ought to be around what are the lesser coefficients, and, what is the type of damping. In other words, what is the system response to a transient in CO2 partial pressure that can be modeled as a step (although, in reality, a steep ramp with significantly broad frequency spectral content)
Dave Rado says
Re. 69, and attribution of forcings prior to 1940, see here. Solar forcings were certainly a major factor but to say “But we know it’s pretty much accepted that most (probably all) the warming before 1940 was solar driven” is simply wrong.
Timothy Chase says
dallas tisdale (#47) wrote:
Dallas,
Granted, CO2 forcing is logarithmic function of CO2 concentration. This is well-known and well-understood.
However, there is nothing particularly inexplicable or confusing about the poles showing different temperature trends. The Southern ocean is part of the southern hemisphere, and as the southern hemisphere has more ocean to it, it has more thermal inertia. Land warms up more quickly than ocean. This too is well-known and well-understood.
Lynn Vincentnathan says
Not much time to read this, but had to say…..nobody reads caveats.
Nigel Williams says
A sense of urgency.
I am impressed that the University of Kansas, is leading the Center for Remote Sensing of Ice Sheets with the development of the some of the best sensor systems yet for the analysis of the state of ice sheets.
https://www.cresis.ku.edu/
Yet, unfortunately, they are talking about deploying only one copy of their wonderful sensor on a yet-to-be build UAV and that may fly some time next year, or not.
I note too that Professor Robert Correll has advised that parts of the Greenland ice sheet are exuding like toothpaste towards the sea at 15 kilometres per year.
http://environment.independent.co.uk/climate_change/article2941866.ece
and in the same article Finnish scientist Veli Albert Kallio points out that Predictions made by the Arctic Council, a working group of regional scientists, have been hopelessly overrun by the extent of the thaw.
Five years ago we made models predicting how much ice would melt and when, said Mr Vallio. Five years later we are already at the levels predicted for 2040, in a year’s time we’ll be at 2050.
Finally, I understand that, while there are some military hot-spots spluttering around the globe, most of the worlds airforces and navies are pottering about on a near-peace-time standing, but costing us the same, either way. Lots of boys and girls with nothing to do but salute it if it moves and paint it if it doesn’t.
So on the one hand we have wonderful essential data-gathering sensors that are locked into an academic maze and underutilised resources to traverse air and sea, and in the other hand we have the sky falling around us.
At the risk of being insensitive to the numerous very diplomatic and scientifically correct processes that are no doubt going on in the world to address the rapid changes that are occurring, as a citizen of this fragile planet I am bound to ask: Why are we messing about?!
We haven’t got time to reinvent the wheel in the gathering of planet-critical climate-related data or to indulge some post-graduate project to create a single UAV – technically superb though it may be. We have to get these sensors in the air, on the ground and in the sea, and the data on the table at the UN and SOON! It doesn’t matter how efficient or otherwise the surveys are using manned aircraft or ships – they simply must be done; now, and again and again until the message is ringing through the halls of every government on this planet!
If the Air forces and Navies of the world want to save the planet, then data gathering for climate change must be their primary missions.
Hang numerous copies of University of Kansas’ CReSIS radar system under fighter-bombers and fly them supported by tankers for air-to-air refuelling. Send them to do 100km then 10km grids over Greenland and the Antarctic, and do it now!
Add some Vietnam-type air-bourn sniffers to fly grids over the tundra with surface temperature and methane sensors as well. Why not?
And in the oceans – how many data points do we have right now of salinity and temperature in the warming Arctic ocean? Do we know how deep the temperature anomaly is? Are we looking at the increased temperature penetrating the top 5mm, or is it the top 500m? What sort of mixing of the melt-water and the saline water is going on? Where is the boundary layer between fresh and saline? How much energy is stored there? To what extent is the temperature anomaly extending beneath the pack ice and frying it from the bottom up?? What impact is that having on algae and krill production?
So do we have all the nuke subs of the US, UK, French and Russian navies doing transects along the meridians – Travel 10 NMiles, go deep, rise slowly to the surface recording temperature and salinity as they rise, punch data into spreadsheet, transmit data, submerge, repeat…??! Meet at the North Pole, shake hands, U-turn, repeat until they hit the coast of Antarctica, repeat…?? Why not – what else are doing that matters more?
Come-on! Lets hit the deck a-running boys and turn this thing around!
Lawrence Brown says
RE #73 Catman says: “And the extremely complex interrelationships of the Earth’s components may not instantly reveal themselves. There are all kinds of time scales constantly interacting. So the effects of any change may not appear for hours, days, years, decades, centuries, millennia.”
Very true. The carbon cycle alone operates on a number of time scales. The carbon reservoirs exchange carbon among the atmosphere,the biosphere,surface ocean waters and the land surface, and cycle on relatively short time scales. The exchanges between the deep ocean and deeper soil reservoirs are much longer. A quote from “Global Warming-The Complete Briefing” Third Edition by John Houghton(p.31) has this to say:”The large range of turnover times means that the time taken for a perturbation in the atmospheric carbon dioxide concentration to relax back to an equilibrium CANNOT BE DESCRIBED BY A SINGLE TIME CONSTANT(emphasis mine).Although a lifetime of about a hundred years is often quoted for carbon dioxide so as to provide some guide, use of a single lifetime can be very misleading.”
Ike Solem says
Perhaps this will be helpful to everyone who had trouble following the math (I did to, but I also thought this was very well written and clear – just requires slow reading). This post by Tamino is a really great overview of statistics in modeling for those unfamiliar with the topic (like me).
From the post, “First, assume that the climate system can be effectively modeled as a zero-dimensional energy balance model.”
What is a zero-dimensional energy balance model? See this site:
http://www.soes.soton.ac.uk/research/groups/ocean_climate/demos/ebm/
Why would anyone attempt to model the Earth climate system with such a simple model and expect to get a realistic answer? Not sure. However, it’s a nice teaching tool.
I’m assuming that noone who reviewed the paper prior to publication followed ocean science (or read realclimate regularly). Nitpicking about the use of the results of Lyman et al as justification might seem petty, but science is all about nitpicking. In fact, Lyman et al caught their own error (really, the instrument error) and immediately brought it to people’s attention. That’s good science. How did that estimate make it into a paper published in Sept 2007? Not sure. Should have been sent to an oceanographer for review, and likely wasn’t?
See: https://www.realclimate.org/index.php/archives/2007/04/ocean-cooling-not/
As far as sea ice,
thickness is at 1 m, 50% less than in 2001, which seems an odd comparison, as ice thickness records date back much farther. Here’s the sea ice extent record dating back to 1978. Why the recent lack of winter recovery? Increased poleward heat transport?
The earlier record of sea ice extent is at http://psc.apl.washington.edu/thinning/Rothrock_Thinn.pdf (1999)
“Comparison of sea-ice draft data acquired on submarine cruises between 1993 and 1997 with similar data acquired between 1958 and 1976 indicates that the mean ice draft at the end of the melt season has decreased by about 1.3 m in most of the deep water portion of the Arctic Ocean, from 3.1 m in 1958-1976 to 1.8 m in the 1990s.”
Scientists predicted this back in 1980 – that’s about 25 year’s worth of deception and denial on the part of the fossil fuel lobby, I’d say. They’ll outdo the tobacco lobby at this rate.
Smokeysmom says
Just to satisfy my pure curiosity, can anyone tell me on what planet those people are living, who go into denial about the current, and unusually accelerated, warming trend? I’m quite sure that it isn’t the same planet I’m living on. I don’t have to be a scientist to observe changes in the growing and blossoming patterns of wildflowers, and changes in the behavior and habitation patterns of wild animals. Can anyone answer my question? Where ARE those people living?
ray ladbury says
Re #75. Steve Sadlov, Now wait just a dad-blamed minute. CO2 increase a step function? How about an exponentially increasing perturbation? Think maybe the response of the system might be a bit different to these two perturbations might be a bit different? Your “simplification” reminds me of a joke about a physicist who is asked to expound on milk production to a group of farmers and starts out, “Consider a spherical cow…”
Rod B says
Timothy (77): Admittedly, this is a little out of left field, but, while I agree the CO2 forcing function being logarithmic is known, I’m not so convinced it’s understood. I do see that it is pretty much accepted prima facie, though they always leave off the LN of the CO2 concentration ratio to the 5th or 6th power part (that pesky exponent in the equation seeems to vary a bit.) Then there is that sometimes log, sometimes linear business (which I at least partially understand). I have not seen anything that explains it fully and clearly, though maybe it’s been in front of me and I just didn’t catch it. Do you know any references that might help?
Richard LaRosa says
We can cool the ocean surface and overlying atmosphere with cold water that we pump up and spread carefully at the surface. The pumping power comes from a heat engine that uses the warm surface water as a heat source and the pumped-up cold water as a heat sink. Nutrients brought up in the cold water increase the biological productivity of the ocean. I have done some of the preliminary design. There’s lots of cold water down there, so this will buy us some time to work out additional partial solutions.
Timothy Chase says
John Finn (#69) wrote:
Lockwood acknowledges the possibility of a lag. However, any latent warming due to a given forcing will necessarily decelerate over time, not accelerate. And we are speaking of a forcing due to solar irradiance – not the build-up of greenhouse gases – assuming one is attempting to avoid the role of carbon dioxide.
John Finn (#69) wrote:
I believe he was refering to the rise in the global average temperature due to anthropogenic carbon dioxide.
John Finn (#69) wrote:
NASA Goddard Institute of Space Studies (2007) would suggest that well-mixed anthropogenic greenhouse gases have had a forcing which exceeded that of solar variation relative to 1880 for every year since but 1881.
Please see the chart on page 26 of the following…
Climate simulations for 1880-2003 with GISS modelE
Hansen, et al. (Climate Dynamics, 2007)
http://arxiv.org/ftp/physics/papers/0610/0610109.pdf
Chris S says
Reading all comments on this site is amazing. The ammount of knowledge and insight I obtained just reading this topic is amazing and yet frightening at the same time. The earthqaukes in greenland and the article about them, is more interesting. It hasn’t dawned on me untill tonight how badly the artic AREA is melting. You hear about the Artic Ice Cap the most, but not much news has been coming in from Greenland on the media side, yet through cliamte sites and blogs the evidence is alarming. This is “alarming” in itself. Someone else brings up this point. My job has CNN playing in the lobby all the time. I haven’t seen one piece on the record low artic sea ice content. It IS though, on CNN.com.
What interests me the most is the statement in that article about the earthqaukes in Greenland bring up a question in my mind. Last semester in Geology I could have sworn I learned that the Pacific Tectonic Plate is grinding “northword” which created the Aluetion islands and Indonesian islands are from the plate driving westard. North westard. I wonder if these recent shifts in ice on greenland and higher ammounts of Isotatic activity are trigging the numerous earthqaukes in Indonesia this year, and their strong intesnities, especially the aftershocks which are usually associated with isotatic adjustment correct? I wish I was a scientist allready so I could have the resources and knowledge to figure this kinda of stuff by myself.
Timothy Chase says
Rod B (#84) wrote:
I didn’t say that you or I understood it all that well… ;-)
However, radiation transfer theory is able to explain the shape of the absorption curve in terms of the lorentzian. This is something which is derivable from quantum mechanics. Additionally, we have the empirical data from spectral analysis which closely corresponds to this and is part of the MODTRAN database. Given how saturation begins at the peak then spreads out into the wings of the lorentzian one is able to derive a near logarithmic relationship for forcing due to carbon dioxide concentration.
As the lorentzian has a near exponential dropping off of the absorption strength in the tail, this is what results in the near logarithmic behavior. However, where the tails of close absorption lines overlap, this relationship breaks down as does the logarithmic relationship between forcing and concentration. Where the near logarithmic relationship between forcing and concentration applies, given the distance we are from absolute zero, this translates into a nearly logarithmic relationship to temperature, such that doubling the carbon dioxide concentration will directly raise the temperature by roughly 1.2 degrees. (All of this is prior to water vapor feedback – which brings it up roughly another 1.8 degrees Celsius – but thats another story. But fortunately we have the paleoclimate record of the past 450,000 years to fall back on there.)
In any case, given the MODTRAN database, it is possible to calculate just how much the temperature must rise in order to achieve radiative equilibrium given a doubling of carbon dioxide.
Anyway, I will see what I can find a little later…
wayne davidson says
#69, #86 January 2007 (preceding the ice melt) +1.68 C monthly temperature anomaly was already reached for the Northern Hemisphere, NASA GISS. Above +1 C world wide anomaly mark was equally exceeded, well before surpassing the infamous X2 CO2 concentration threshold. Schwartz calculations imply that we peaked temperature wise. Arctic anomalies alone sometimes exceed +10 degrees….
wayne davidson says
…. +10 C in certain arctic regions…
pete best says
According to a preview of the IPCC implications of climate change report reported today in the Independent and Guardian newspapers here in the UK then 2 C is already “very likely” or in laymans terms almost ineviatable but why stop there. What gives anyone hope that 3 C will not be the stopping point or our greenhouse gas emissions. If climate sensitivity is following the dire predictions of the most pessemistic models then come 2030 we will be at around 420 ppmv of CO2 and come 2050 it will be around 480 ppmv. This could mean around a 3 degrees of temperature rise globally.
catman306 says
Chris S, #87, I asked the same question and Eric provided this response:
“Just mentioning another possible environmental disaster linked to global warming and climate change: when the Greenland glaciers finally melt (either slowly or in a big whoosh) tectonic rebound will probably increase the frequency and magnitude of earthquakes around the world. The 30 foot rise in sea level will cause the Antarctic ice shelves to detach making it easier for the Antarctic glaciers to move more quickly into the ocean, causing still more sea level rise, tectonic rebound and earthquakes.
Nice world we are leaving our grand children. And theirs.
[Response: I am happy to be able to correct you that tectonic rebound from the Greenland ice sheet won’t have impacts on earthquakes around the world. Big earthquakes are due to processes much deeper in the earth’s crust, and much more localized. It is, on the other hand, rather likely that rising sea levels will help to destabilize the Antarctic ice sheet. On what timescale, however, remains quite uncertain. –eric]
Comment by catman306 — 2 February 2007 ”
I hope that the science is in on this and Eric is correct.
Nigel Williams says
Chris S. FYI Hansen et al’s recent paper Climate Change and Trace Gases (May 2007) makes sobering reading.
http://www.planetwork.net/climate/Hansen2007.pdf
Some quotes from the discussion in that paper:
—
The imminent peril is initiation of dynamical and thermodynamical processes on the West Antarctic and Greenland ice sheets that produce a situation out of humanity’s control, such that devastating sea-level rise will inevitably occur.
Attention has focused on Greenland, but the most recent gravity data indicate comparable mass loss from West Antarctica. We find it implausible that BAU [Business as Ususal] scenarios, with climate forcing and global warming exceeding those of the Pliocene, would permit a West Antarctic ice sheet of present size to survive even for a century.
The best chance for averting ice sheet disintegration seems to be intense simultaneous efforts to reduce both CO2 emissions and non-CO2 climate forcings. As mentioned above, there are multiple benefits from such actions. However, even with such actions, it is probable that the dangerous level of atmospheric GHGs will be passed, at least temporarily. We have presented evidence (Hansen et al. 2006b) that the dangerous level of CO2 can be no more than approximately 450 ppm.
—
So while Greenland is melting spectacularly the West Antarctic Ice Sheet is quietly matching the pace of its northern cousin, and no doubt other parts of the southern continent are likewise inclined.
The trend in CO2 is brutally apparent from
http://en.wikipedia.org/wiki/Image:Mauna_Loa_Carbon_Dioxide.png
(See also http://en.wikipedia.org/wiki/Carbon_dioxide )
which shows CO2 increasing by 65ppm over the last 45 years to its present peak value of 385ppm. So even if CO2 increased linearly (and the chart has a distinct exponential look to it, when we remember the historic tail) in just another 45 years we will be breathing 450ppm. We will be at the Dangerous Level. With over 140 coal-fired power stations coming on line this year there does not seem much hope of a softening of the emission rate for a few years yet.
Now, how do we explain all THAT to our kids?
Timothy Chase says
Chris S (#87) wrote:
Actually Greenland is experiencing more icequakes. I believe they have tripled in the past decade – and given the feedbacks I wouldn’t be surpised if they tripple again. But the earthquakes of Greenland are more or less constant. No trend.
As for the melting of ice changing the pressures on the plates I know that this is something I wondered about. A geologist recently pointed out that this may in fact occur, but probably not something that we will have to worry about any time soon. With regard to the Northwesterly direction, that is going to be the result of the geometry of the plates and their current direction of motion. The melting of the ice won’t be able to change the geometry (slip faults and whatnot) or the direction of motion, although with the release of pressure it may influence the speed, somewhat.
But this will probably be something that we will notice only after a great deal more melting. He was thinking on the order of thousands of years. With the rate of melting occuring on a shorter timescale than most have been expecting it may be sooner, centuries rather than millenia. But the fact that the earthquakes are remaining roughly uniform in Greenland (where much of the melting is taking place) would seem to indicate that it isn’t happening now – anywhere.
Incidentally, in the Pacific Northwest we are supposed have sets of massive quakes, 9 on the Richter scale, like what you saw around Sumatra on Boxer Day 2005, three or four and occasionally five with each quake separated from the others in a set by roughly 300 years, then each set seperated from the others by more than 500. The geometry of the faults are even fairly similar to what exists around Sumatra, and they are on the same ring of fire.
Last of these quakes was in January 1701 – resulted in a Tsunami three days later in Japan. We might have been due for another – but it would have been the fifth – so not that likely. We had a 6.8 around that time instead. A thousandth the power of a 9. There are patterns to the quakes. The Boxer Day was probably according to a similar lazy schedule.
One other point: there aren’t supposed to be long-distance teleconnections between quakes. I sometimes wonder, but they are probably right. However, this would suggest that wherever the pressure is being released by melt is the rough neighborhood of where you may expect earthquakes to become more common. Not over great distances. Not much chance of the melting in Greenland or Antarctica affecting the region around Sumatra.
Vernon says
RE 72: Jim, it would appear that a significant amount of the warming and melting in the Arctic is not due to global warming but pollution.
McConnel et al (2007) href=”http://www.sciencemag.org/cgi/rapidpdf/1144856v1.pdf”>20th-Century Industrial Black Carbon Emissions Altered Arctic Climate
Forcing Monthly averaged surface forcing (i.e., BC-induced heating) during the peak early summer period (June and July) was 0.59 W m–2 after 1951.
So it would appear that if you want to reduce the melting in the Arctic, reducing CO2 is not the answer, it is cleaning up the pollution from Europe and Asia.
Darrel says
“it is cleaning up the pollution from Europe and Asia.” Let me guess, you live in North America?
GHG still have a warming effect, so to blame any (regional) warming on a single cause (black carbon) is to leave out other potentially important factors. Both GHG and BC (and probably other aerosols as well) contribute to the Arctic warming.
Vernon says
Darrel, how about a study that backs up your position? Yes, I live in NA and well, the studies show that the most the BC is coming out of eastern Europe and Asia.
Philippe Chantreau says
Re 94: Tamino has a graph of the glacial quakes in “Graphic Evidence.” They are indeed increasing.
Re 82: Smokeysmom, it appears that some denialists might be living on Neptune or Pluto, since they display tremendous confidence in their knowledge of these planets’ local climate. We also suspect that they might be extremely old (and grumpy), having been able to observe the plutonian climate through a significant number of Plutonian years. However, some denialists may not even be from our solar system, judging by their attachment to exotic climate forces such as galactic cosmic rays…
John L. McCormick says
RE # 91
Pete, you said
[following the dire predictions of the most pessemistic models then come 2030 we will be at around 420 ppmv of CO2 and come 2050 it will be around 480 ppmv.]
I agree on the CO2 component but where will the CO2equivalent number be in 2030?
We focus on the CO2 side because emissons data are available and Mauna Loa does a great job of measuring and reporting the atmospheric content. But, the total mix of gases are what will bite us more than CO2.
Vernon says
Stohl et al (2006) Arctic smoke – record high air
Maybe it is just me but we have the least sea ice in the Arctic coupled to Black Carbon and massive European pollution. It would appear that pollution is the bigger cause of Arctic melting than global warming.