Un-cherry-picking and the Singer Event

By Christopher Monckton of Brenchley

The dwindling number of paid or unpaid trolls commenting here – dwindling because the less dishonest and less lavishly-funded ones realize the game is up – do not like The Pause. They whine that in order to demonstrate a long period without global warming I have cherry-picked my start date.

No, I have calculated it. I have not, as they suggest, naïvely cherry-picked 1998 as my starting-point so as to take unfair advantage of the Great El Niño of that year. I have not picked 1998 at all.

Instead have determined by iterative calculation the earliest month in the record that shows no global warming at all as far as the present. On the RSS dataset, which I shall use for the analysis to follow, that month is September 1996, giving 17 years 6 months without any global warming.

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This graph has become famous. Patrick Moore, one of the founders of Greenpeace (which is now, with frantic mendacity, trying to disown him), displayed it recently on Fox News, followed by weeping and gnashing of Medicaid dentures right across the leftosphere. Marc Morano has the graph as a lead indicator at the inestimable ClimateDepot.com. It is popping up all over the blogs.

The true-believers wring their tentacles and moan about cherry-picking. So let us deal with that allegation, and discover something fascinating on the way.

To put an end to the allegation that we have cherry-picked our start-date, let us start at the beginning of the satellite record. So here you go, from January 1979.

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Oo-er! Instead of a zero trend, we now have a terrifying increase in global temperature, at a rate equivalent to a shockingly sizzling – er – 1.24 Cº per century. That is below the 1.7 Cº/century near-term warming predicted in IPeCaC’s 2013 Fifth Assessment Report. Well below the 2 Cº/century predicted in the 2007 Fourth Assessment Report. Scarcely more than a third of the 3.5 Cº/century mid-range estimate in the 1990 First Assessment Report. A quarter of the 5 Cº/century predicted by the over-excitable James Hansen in front of Congress in 1988.

Evidently, the predictions are becoming less and less extreme as time passes. But they are still well over the top compared with reality. Let us illustrate IPeCaC’s latest version of the “consensus” prediction, comparing it with the RSS real-world observation:

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Whichever dataset one chooses, whichever starting point one picks, the rate of global warming predicted by the models has been and remains grossly, flagrantly, egregiously in excess of what is actually happening in the real world. It is this central truth that every attempt to explain away the Pause fails to get to grips with.

One of the slyest ways to pretend the Pause does not exist is offered by “Tamino”, one of the Druids’ white-robed, snaggle-bearded, bushy-eyebrowed archpriests.

“Tamino”, taking time off from his sun-worshiping duties at Stonehenge, invites us to suppose that in 1997 we had predicted that the previously-observed warming rate would either continue as is or turn horizontal. Where would the subsequent annual data points lie?

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Tamino’s excited conclusion is that “fourteen of sixteen years were hotter than expected even according to the still-warming prediction, and all sixteen were above the no-warming prediction (although one is just barely so)”.

Phew! Global warming has not Paused after all!! The Earth still has a fever!!! Global temperature is continuing to rise – and at a faster rate than before!!!! What a relief!!!!! We said we were more certain about future global warming than about anything in the whole wide world before, evaah – and we were right!!!!!!

Up to a point, Lord Copper. The truth, if one goes looking for it rather than bashing and mashing the data till they fit the desired outcome, is much more interesting.

First, it is not appropriate to use annual data points when monthly data are available. Using the monthly data multiplies 12-fold the degrees of freedom in the analysis, and makes the picture clearer.

Secondly – and this cannot be said too often – trend lines on observed data, particularly where the data are known to be stochastic and the behavior of the underlying object chaotic, are not, repeat not, repeat not a prediction.

Let us play Tamino’s game of breaking the RSS dataset into pieces. But let us break it into three pieces, not two. Let us look at three periods: January 1979 to January 1993, January 1993 to January 1999, and January 1999 to February 2014.

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It was Fred Singer who first pointed out this most startling characteristic of the post-1979 temperature record to me. We were sitting in front of the big computer screen and playing with the temperature datasets using my graphing engine in the library at Rannoch, overlooking the loch and the misty mountains beyond.

An otter was flip-flopping past the window, and the ospreys (a ménage a trois that year, with two adult males, a female and two chicks in the nest) were swooping down to catch the occasional trout.

Fred told me there had been very little trend in global temperature until the Great el Niño of 1998, and very little trend thereafter. But, he said, there had been a remarkable step-change in the data in the short period culminating in the Great el Niño.

The trend till January 1993 and the trend from January 1999 are indeed near-identical at just over a quarter of a Celsius degree per century. Not a lot to worry about there. But the trend over the six years January 1993 to January 1999 was a lulu. It was equivalent to a spectacular 9.4 Cº per century.

So, what caused that sudden upward lurch in global temperature? Since absence of correlation necessarily implies absence of causation, we know it was not CO2: for CO2 concentration has been rising monotonically, with no sudden leaps and bounds.

Indeed, no phenomenon in the atmosphere could really have caused this lurch. True, there had been a naturally-occurring reduction in cloud cover over the 18 years 1983-2001, and that had caused a forcing of 2.9 Watts per square meter (Pinker et al., 2005), greater by 25% than the entire 2.3 Watts per square meter of manmade forcing from all sources in the 263 years since 1750.

However, as Dr Pinker’s graph shows, the trend in cloud cover forcing was relatively steady, and there was actually a drop in the cloud-cover forcing in 1993-5.

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Since solar activity did not change enough over the period to cause the sudden hike in global temperature, there does not appear to have been any external reason why, for six years, temperature should suddenly have risen at a mean rate equivalent to almost 1 Cº per decade.

Nor was there any more land-based volcanic activity than usual: and, if there had been, it would if anything have caused a temporary cooling.

When the impossible has been eliminated, whatever remains, however improbable, must be the truth. The culprit is plainly not atmospheric, not extra-terrestrial, not land-based, but oceanic.

To kick atmospheric temperature permanently upward by almost 0.3 Cº, and to boot the centennial trend northward by almost a full Celsius degree, something drastic must have happened beneath the waves.

Perhaps the still poorly-monitored pattern of overturning that takes warmer water from the mixed upper stratum of the ocean to the much colder benthic strata temporarily slowed.

Perhaps we shall never know. Our ability to monitor changes in ocean heat content, negligible today, was non-existent then, for the ARGO buoys were not yet on duty: and even today, as Willis Eschenbach has pointed out, the coverage is so sparse that it is the equivalent of taking a single temperature and salinity profile of the whole of Lake Superior less than once a year.

Perhaps there was massive subsea volcanic activity in the equatorial eastern Pacific, beginning in 1993/4 and peaking in 1998. Again, we shall never know, for we do not monitor the 3.5 million subsea volcanoes on Earth (the largest of which, occupying a footprint greater than any other in the entire solar system, was only discovered last year).

But the curious thing about this sudden and remarkable warming over just six years – let us call it the Singer Event – is that so very little consideration is given to it in the ramblings of IPeCaC.

The Singer Event accounts for fully four-fifths of the global warming trend across the entire satellite era. Without it, no one would still be wailing about global warming.

But will you find the Singer Event mentioned or discussed in any of IPeCaC’s Summaries for Policymakers from 2001 onward? Er, no. It doesn’t fit the story-line.

Bluntly, unless and until the cause of the Singer Event is nailed down there is nothing whatsoever in the global temperature record during the satellite era to suggest that CO2 is having any detectable effect on global temperature at all.

Finally, just in case any of the trolls want to whinge about why I have confined the analysis to RSS, I prefer RSS because, alone of the five datasets, it correctly represents the 1998 Great el Niño as being significantly bigger than any other el Niño in the instrumental record.

There have been two previous Great el Niños in the past 300 years. Each of those, like the 1998 event and unlike any other in the global instrumental record, caused corals to bleach worldwide on a large scale. Bleaching is a natural defense mechanism against sudden ocean warming, and the corals have recovered from it just fine, as they have evolved to do.

But the corals are a testament to the fact that the Singer Event is something atypical. And it is the RSS dataset that best reflects how exceptional the Singer Event was.

But here, just to please the trolls, is the entire global temperature record since January 1979, taken as the mean of all five global temperature datasets (it is pardonable to take the mean, because although the coverages and measurement methods vary the discrepancies are small enough that they tend to cancel each other over a long enough period).

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The bottom line is that the warming trend since 1979 on the RSS dataset was 0.44 Cº, while on the mean of all the datasets it was not vastly greater at 0.51 Cº. So, when the trolls argue that I am cherry-picking, they are arguing pettily about hundredths of a degree.

The Singer Event is highly visible in the five-datasets graph, and still more so in the earlier RSS graph.

I should be most interested in readers’ comments on the Singer Event, because I have been invited to contribute a paper to the reviewed literature about it. All help, even from the trolls, would be very much appreciated.

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Matthew R Marler
March 19, 2014 2:37 pm

Monckton of Brenchley: So, what caused that sudden upward lurch in global temperature? Since absence of correlation necessarily implies absence of causation, we know it was not CO2: for CO2 concentration has been rising monotonically, with no sudden leaps and bounds.
In conformance with “Eschenbach’s Rule”, that is the quote of yours that I was debating. We do not “know” that the step change was not a result of the smooth increase of CO2, because complex dynamical systems can produce step changes in response to smooth input. We also do not “know” that the step change *was* the result of increased CO2 — I agree with you there.
I used to think that we would have a really good estimate of the possible CO2 effect in 20 years, but I now think (unless something dramatic happens that I might speculate about some other time) that it will take more like 40 years. It’s not comfortable to recognize ignorance, but I think that is what we are stuck with now regarding the size of the hypothesized CO2 effect.
Keep up the good work. Your posts are a pleasure to read.

Matthew R Marler
March 19, 2014 2:52 pm

Henry P: I predict from observations
Ha ha ha ha ha.

MarkB
March 19, 2014 2:58 pm

The 1993-1999 “step change” is consistent with global temperature being suppressed following the Mt Pinatubo eruption at the front end and amplified by the 1998 El Nino at the back end. One doesn’t have to be Sherlock Holmes to explain the “Singer Event”, it really is that obvious.

Cold in Wisconsin
March 19, 2014 2:59 pm

“Singer Effect” explained:
It was Fred Singer who first pointed out this most startling characteristic of the post-1979 temperature record to me. We were sitting in front of the big computer screen…….

March 19, 2014 3:05 pm

HenryP says:
March 19, 2014 at 12:28 pm
@wbrozek
Surely, you must agree that we are cooling from the top latitudes down?

On the sea ice page, they say:
RSS Northern Polar Temperature Lower Troposphere (TLT) – 1979 to Present trend = 0.330 K/decade. That is 60.0 to 82.5. Of course this does not negate what you have said about Alaska.
However I am more interested in discussing global warming, or the lack thereof. As well, I feel more comfortable with what WFT allows me to plot.

RichardLH
March 19, 2014 3:19 pm

wbrozek says:
March 19, 2014 at 12:08 pm
“It is my understanding that Cowtan and Way got their results because UAH showed more warming at the poles and Hadcrut4 did not have good coverage there”
You would be wrong then. UAH does not show warming at all at the poles recently. It has stalled just like all the rest.
http://climatedatablog.files.wordpress.com/2014/02/uah-arctic.png
The main problem with C&W is that, because of the very much bigger range at the poles of the signal, then if you do not correctly reduce it correctly you will get a warming signal out of it by accident.
I do not understand how people can take a series (satellite) which they have consistently been unable to align over their period of overlap to another series (thermometer) and then use a cherry picked, short term, co-incidence as the basis for a paper and be serious.
That is always going to be challenging to get right and I do not believe they have done so.
The clue, I believe, is that they got a faster rate of warming then is present in either of their contributing series and give no real explanation as to why and how that can be true..

Daniel G.
March 19, 2014 3:59 pm

Mike Jonas writes:

There have been comments on how multiple cycles superimposed on each other can produce what looks like a step change. Well, you don’t need multiple cycles, a single sine wave will do. Take three periods, the first spanning a low point, the third spanning the next high point, with the second covering the space between them. Bingo, a step change, with higher gradient the higher the sine wave’s amplitude and frequency.
BTW, I don’t buy Bob Tisdale’s step change, because of this.

The hypothesis of an Tisdale-Singer transition is much more simpler than multiple cycles superimposed, which must be shown to exist, and must have specific frequencies so the step change appearance is created.
For now, I prefer Tisdale-Singer transition over superimposed cycles.

March 19, 2014 7:00 pm

So, what caused that sudden upward lurch in global temperature? Since absence of correlation necessarily implies absence of causation, we know it was not CO2: for CO2 concentration has been rising monotonically, with no sudden leaps and bounds.

Excellent article, but I have to nit-pick on this one. If I come upon a stuck door, and try to move it by monotonically increasing the force I apply, with no leaps or bounds, it just may happen that at a certain point the door breaks through its stuck point and suddenly flies open. IOW, correlation doesn’t necessarily mean any kind of direct proportionality.

Niff
March 19, 2014 7:04 pm

Sounds like actual science to me….observe phenomena; posit theorems, examine evidence..etc.
I particularly appreciated the comment: in science an open mind is of near-infinitely greater value than an open mouth.

Steve H
March 19, 2014 7:25 pm

Monckton of Brenchley
In past year or so, I have, as well as several others, commented on the now called Singer Event. We have all noticed that the period of ~ 17 years before the El Nino/La Nina of 1997/2001 showed very little warming and the period after has shown the same small warming (Using UAH).
My first inkling of this was when I noticed the response of the Stratosphere to the Chichon and Pinatubo volcanos. The stratosphere seemed to react in a steplike fashion, first with rising anomaly followed by an anomaly lower than before the volcanic event. This got me to wondering whether the troposphere might react the same way. ie a large perturbation might cause a step to a different state. Bob Tisdale’ work seemed to indicate that this might be the case .
So in November 2008, I began to graph the UAH record. I decided to look at the time before and after the El Nino/La Nina event of 1997/2001. The before graph included the time between Dec 1978 and March 1997; the after graph between June 2001 and the present. These time periods were not cherry picked. March 1997 was taken at when the ONI Index was at zero just before the El Nino. June 2001 is when the index returned to zero after the La Nina.
http://www.cpc.ncep.noaa.gov/products/analysis_monitoring/ensostuff/ensoyears.shtml
For UAH the resulting linear regressions are:
Dec 1978 to March 1997 0.36 degrees per century
June 2001 to present 0.48 degrees per century (UAH Version 5.6 as of latest data)
For your interest here are what the other temperature records show for the same periods.
http://www.woodfortrees.org/plot/hadcrut4gl/from:1979/to:1997.3/trend/offset:0.1/plot/gistemp/from:1979/to:1997.3/trend/plot/rss/from:1979/to:1997.3/trend/offset:0.25/plot/uah/from:1979/to:1997.3/trend/offset:0.3/plot/hadcrut4gl/from:2001.6/to:2014.2/trend/offset:-0.2/plot/gistemp/from:2001.6/to:2014.2/trend/offset:-0.3/plot/rss/from:2001.6/to:2014.2/trend/plot/uah/from:2001.6/to:2014.2/trend/offset:0.12
Interestingly, UAH is the only record showing the same trend before and after the Event. The other records show higher positive trends before the event and negative tends after. RSS being the most negative by a wide margin.
I am waiting to see what happens by 2018 (1 santer). If this continues in the same way for another 4 years the CAGW guess (OK maybe hypothesis) will be in a deep hole. Maybe CO2 increases do cause stepwise increases. I will be interesting to see what happens if we have another big one.

Legatus
March 19, 2014 9:47 pm

John Whitman says:
March 19, 2014 at 2:21 pm
Monckton of Brenchley says:
March 19, 2014 at 1:40 pm
Mr. Marler has broken Eschenbach’s Rule, [. . .]
– – – – – – – – – –
Christopher Monckton,
I suggest we have a simple main post at WUWT that asks the simple question, “Is Eschenbach’s Rule valid on any intellectual or philosophical or practical level?”

The reason the rule works is to avoid logical fallacies which are really just clever lies covered up with further lies, like a bald faced lie covered with a mask. One can, for instance, use the common argument known as the Straw Man argument, say that your apponent said something, changing it into an argument that you can easily attack in some way, and then attack it and demolish it. The Eschenbach rule prevents that, if you want to demolish their idea, at least you must demolish their idea.
Straw Man (Fallacy Of Extension):
attacking an exaggerated or caricatured version of your opponent’s position.
For example, the claim that “evolution means a dog giving birth to a cat.”
Another example: “Senator Jones says that we should not fund the attack submarine program. I disagree entirely. I can’t understand why he wants to leave us defenseless like that.”

March 19, 2014 10:10 pm

RichardLH says:
March 19, 2014 at 3:19 pm
You would be wrong then. UAH does not show warming at all at the poles recently. It has stalled just like all the rest.
I went by:
But is there a warming in the Antarctica? The UAH data-set (although contradicted by the majority of the Antarctica surface-stations especially those in inland and by the RSS data-set) shows a warming both for land and ocean there.
The above is from:
http://wattsupwiththat.com/2013/12/03/cowtan-way-and-signs-of-cooling/
I must be missing something! However I have no clue what it might be.

March 19, 2014 10:25 pm

“Step changes are easily produced by adding odd-integer harmonic frequencies of form 2𝛑(2k-1)f. Since natural cycles are ubiquitous it is hard (for me) to imagine that such coincidences do not occasionally occur, and will necessarily reverse themselves. To avoid antagonizing our host, I will stop there.”
How appropriate, because in the article’s analysis the author using a moving average, which is simply the signal convolved with – you guessed it – a square wave.
On both sides of this debate – please, start using proper signal analysis. You are all chasing phantoms from your poor choice of filters.

March 20, 2014 1:45 am

Ron House is of course right with his analogy of the jammed door: however, my point in the article is that until the mechanism that caused the Singer Event is understood it cannot safely be blamed on CO2. We can, however, rule out the kind of naive, linear relationship between CO2 concentration change and 21st century temperature change that the IPCC posits, for there was no step-change in CO2 concentration to match the step-change in temperature during the Singer Event.

tagerbaek
March 20, 2014 2:05 am

It might be worth noting that if the most recent, slightly negative, temperature trend continues, then this will add to the zero trend length at both ends, e.g., five years from now we will be looking at, not 17.5+5=22.5 years of zero trend, but possibly a much longer one.

b fagan
March 20, 2014 2:52 am

Monckton of Brenchley:
Why this attempt to suggest a single, causeless “Singer Event” when two real events created the difference in temperatures?
Your end date is at the end of the hottest El Niño in the instrument record. As you already said, it was a very hot time, so no more about it.
Your start date of January 1993 is in the trough in global temperatures caused by the very well-documented cooling caused by Mt. Pinatubo’s eruption. Here’s from the abstract of a paper John Christy published about Pinatubo’s cooling impact:
“By September 1992 the global and northern hemispheric lower tropospheric temperatures had decreased 0.5°C and 0.7°C, respectively compared to pre-Pinatubo levels. The temperature record examined consists of globally uniform observations from satellite microwave sounding units.”
(Geophysical Research Letters, Dec. 1992 DOI: 10.1029/92GL02495)
The sharp temperature difference between the volcanic cooling in 1992 and the El Niño in 1998 is very clear (and coincident with the “Singer Event” timeline).
It’s easier to see by looking at the overall RSS record, with your “Event” and the long-term trend lines included. Here’s a graph from woodfortrees. http://tinyurl.com/o4fpq4q
If it’s not cherry-picking, forgive me for pointing out that it certainly looks like cherry picking.

RichardLH
March 20, 2014 3:00 am

wbrozek says:
March 19, 2014 at 10:10 pm
“I must be missing something! However I have no clue what it might be.”
That all depends on how much ‘warming’ you see in this graph then.
http://climatedatablog.files.wordpress.com/2014/02/uah-antarctic.png

RichardLH
March 20, 2014 3:05 am

Daniel G. says:
March 19, 2014 at 3:59 pm
“For now, I prefer Tisdale-Singer transition over superimposed cycles.”
You might want to look at my recent thread on http://wattsupwiththat.com/2014/03/16/crowdsourcing-a-full-kernel-cascaded-triple-running-mean-low-pass-filter-no-seriously/
where these two graphs show how there may well be some form of ‘cycle’ in there after all (with something longer underpinning it)
http://climatedatablog.files.wordpress.com/2014/02/hadcrut-15-year-ctrm-and-75-year-s-g-curves.png
http://climatedatablog.files.wordpress.com/2014/02/hadcrut-15y-ctrm-de-trended-with-s-g-75y-to-obtain-cycle.png

paqyfelyc
March 20, 2014 4:25 am

Sorry, but it seems to me that your analysis, breaking the data in 3 pieces, is pure artifact. Very much like the hockey stick.
The pieces have nonsensical length : 4, 6 and 15 years. why ? what kind of “singer event” can have a 6 year length ? why would the temperature stay “high” after the event, instead of going back to normal ?
Elsewhere you agree the CO2 can account for some moderate warming (1° / century, right ?), so to be logical with yourself you must NOT break the data in pieces of 0 warming.
Anyway any analysis based on temperature is bound to be bullshit, because of its intensive nature. Only analysis based on energy/heat have some chance to enlight the facts.

aaron
March 20, 2014 5:04 am

Mr. Monckton, “my point in the article is that until the mechanism that caused the Singer Event is understood it cannot safely be blamed on CO2.”
I agree, and suggest a path of investigation. I question how much atmospheric heating is due to release of heat stored during enso neutral and la nina conditions. My guess is that there are two main factors in how much the atmosphere warms: 1) The temperature of the ocean surface during el nino. 2) How clear the skies are over that water.
Perhaps during el nino the heat isn’t released from the ocean so much as the warmer water surface allows more SW to be transformed into latent heat. The water temperature and area of surface warmth likely are determined by conditions during neutral and la nina condtions (separating out which portion of the ocean surface temp is from GHG LW would allow us to figure how much more SW-latent heat is caused by GHG) . This is why I think looking at the ’81/2 el nino and ’98. Looking at the ocean surface temperature at the start of these events and comparing the with downwelling radiation during each event could give good insight into how heat transferes during these phases. If the system behaves as I sugggest, we can then look at what determines albedo in the region and perhaps make better predications of how el nino will affect the surface temps.

March 20, 2014 5:09 am

The three pieces into which I have broken the satellite temperature record are not, as the complicatedly pseudonymous paqyfelyc says, 4, 6, and 15 years long respectively. They are 14, 6, and 15 years: in short, good long trends with not a lot of warming either side of a manifest singularity.
Several commenters have plausibly suggested that the drop in global temperatures temporarily caused by Pinatubo at one end of the Singer Event and the Great El Nino at the other account for the sharp jump in global temperatures. But why did the global temperature remain on average 0.3 K higher than before the Singer Event? Until we understand that, disentangling the anthropogenic and natural components in global warming will surely not be easy.

March 20, 2014 5:17 am

For anyone who wants to verify the September 1996 date, it’s easy to bring up the RSS data
found here
and down load it into Excel. Once you’ve used the text to columns function to unscramble things and add a column of dates in a decimal format down Column A by using a formula that adds (1/12) to get 1979.00 1979.08 1979.16 1979.25 and so on, you can then figure the slope of the last two entries for 2014.00 || 0.262 and 2014.08 || 0.162 you should get a slope of minus -1.2 It’s then a simple matter to copy the formula
=SLOPE(D421:D$422,A421:A$422)
back up the column and then find the first minus slope working your way forward from 1979.
Indeed, I find that the first negative slope turns out to be October 1996, my spreadsheet on line 214 looks like this:
214 | 1996.75 | 1996 | 10 | 0.125 | -0.00027381
and the formula in Column E on that line looks like this
=SLOPE(D213:D$422,A213:A$422)
What it all means is that the RSS temperature has been flat since September of 1996.

MarkB
March 20, 2014 6:25 am

Monckton of Brenchley says:
. . . But why did the global temperature remain on average 0.3 K higher than before the Singer Event? Until we understand that, disentangling the anthropogenic and natural components in global warming will surely not be easy.

Surely this problem is beyond the reach of all but the Druids’ white-robed, snaggle-bearded, bushy-eyebrowed archpriests. Or perhaps we should unlease some ninja climatologists on this conundrum, preferably guys with distinctively Asian names like Kosaka or Xie, because everyone knows they’re pretty smart. No Way is any bit of pause attribution going to be solved by some cow town academic.

Matthew R Marler
March 20, 2014 7:09 am

Lord Monckton: So, what caused that sudden upward lurch in global temperature? Since absence of correlation necessarily implies absence of causation, we know it was not CO2: for CO2 concentration has been rising monotonically, with no sudden leaps and bounds.
Indeed, no phenomenon in the atmosphere could really have caused this lurch.

Marler: Your [referring to Lord Monckton] analysis has not “eliminated the impossible” result of CO2 mediated increase in heat accumulation; it has eliminated the impossible intuitively simple low dimensional linear dynamics.
Neither does the Kondepudi and Prigogine show that CO2 is the culprit, or one of the culprits. All it shows is that a simple analysis is inappropriate to understanding the dynamics of the climate change.

Lord Monckton: We can, however, rule out the kind of naive, linear relationship between CO2 concentration change and 21st century temperature change that the IPCC posits, for there was no step-change in CO2 concentration to match the step-change in temperature during the Singer Event.
It looks like you have converged to my position on this. However, it is not that clear that IPCC “posits”, or restricts its attention to, any naive linear relationship between CO2 concentration change and 21st century temperature change. Some of the models relate equilibrium climate sensitivity to the log of the concentration, including the T^4 relation of radiation intensity to temperature, but they are uninformative as to rates (I think the best and most cited current work on this line is “Principles of Planetary Climate” by Raymond T. Pierrehumbert, and it is chock full of nonlinear relationships); the GCMs posit nonlinear relationships, but they have a history of overpredicting.
We are not stuck in Limbo, which is a permanent assignment. We are in the midst of a large ongoing scientific project studying details and simplifications of a large and complex system. More excellent, but incomplete and insufficiently accurate, dynamical systems modeling can be found in “Nonlinear Climate Dynamics” by Henk Dijkstra, 2013, Cambridge University Press.

paqyfelyc
March 20, 2014 7:13 am

Sorry for the error 4+6+15 instead of 14+6+15, but it doesn’t matter. What does matter is
a) that the “short” period of brutal warming must be coherent with the length of the event that caused it. 6 years seems either too long or too short.
b) much more importantly, that the “good long trends” should have some moderate warming coherent with the 1K/century estimate you adopt, sir. Otherwise they cannot be considerated long enough.
So I think you should calibrate the first piece to respect the long trend of 1 K/century, which will extent it to just before 1998 el nino, I guess (I didn’t calculate it ), not january 1994.
As for the last piece of time, I see 2 possibilities.
Either you calculate it to respect the long trend which, I guess once again, will make it begin just after the aformentioned El Nino.
Or you considerate that 1998 El Nino brought a so large amount of energy in the atmosphere [enough to account for much of the difference between the 1K long trend and the +1.24K/century slope on the observed periode] that it triggered climat balance natural mecanisms that make this energy simply going slowly back where it belongs (in the ocean), and counter the long trend warming until this is done (could take tens of years, depending on the frequency of such El Ninon event). Which would explain the 0K/century slope since El Nino
Either way 1998 El Nino remains central in the explantion (other comments said that before me). No need of some other singer event.