From Global Warming Questions -IPCC

How the IPCC invented a new calculus
A new form of calculus has been invented by the authors of the the IPCC’s Fourth Assessment Report (AR4), in order to create the false impression that global warming is accelerating.
How the new IPCC calculus works
Here’s how it works. Look at the following graph:
Now consider the following question:
Is the slope of the graph greatest at the left hand end of the graph, or the right hand end?
By just looking at the graph, or by using old-fashioned calculus developed by Newton and Leibnitz, you might think that the slope of the graph is similar at both ends. But you would be wrong. In fact, the slope is much greater towards the right hand end of the graph. To prove this, we need to apply the new calculus developed by the IPCC. To do this, we draw a sequence of straight-line best fits backwards from the right-hand end-point:
This clearly shows how the slope of the graph is in fact increasing.
How IPCC calculus is used in the IPCC report
Here is one of the key graphs from the AR4 report:

The graph is Figure 1 from FAQ 3.1, to be found on page 253 of the WG1 report. The slope over the last 25 years is significantly greater than that of the last 50 years, which in turn is greater than the slope over 100 years. This ‘proves’ that global warming is accelerating. This grossly misleading calculation does not just appear in chapter 3 of WG1. It also appears in the Summary for Policymakers (SPM):
“The linear warming trend over the last 50 years is nearly twice that for the last 100 years“.
Thus, policymakers who just look at the numbers and don’t stop to think about the different timescales, will be misled into thinking that global warming is accelerating. Of course, we could equally well start near the left hand end of the graph and obtain the opposite conclusion! (Just in case this is not obvious, see here for an example). A similar grossly misleading comparison appears at the very beginning of chapter 3, page 237:
“The rate of warming over the last 50 years is almost double that over the last 100 years (0.13°C ± 0.03°C vs. 0.07°C ± 0.02°C per decade).“
How did this get through the IPCC’s review process?
The IPCC reports are subjected to careful review by scientists. So how did this blatant distortion of the temperature trends get through this rigorous review process? The answer to this question can now be found, because the previous drafts of AR4, and the reviewer comments, can now be seen on-line. (The IPCC was reluctant to release these comments, but was forced to do so after a number of freedom of information requests).
The answer is quite astonishing. The misleading graph was not in either the first or the second draft of the report that were subject to review. It was inserted into the final draft, after all the reviewer comments.
It is not clear who did this, but responsibility must lie with the lead authors of chapter 3, Kevin Trenberth and Phil Jones. Here is the version of the graph that the reviewers saw in the second draft:

Note that in this version there is only one trend line drawn.
So why was this graph replaced by the grossly misleading one? Did any of the reviewers suggest that a new version should be drawn with a sequence of straight lines over different time intervals? No. One reviewer made the following remark:
‘This whole diagram is spurious. There is no justification to draw a “linear trend” through such an irregular record’
… but his comment was rejected.
It is the same story with the misleading comment in the SPM mentioned above (“The linear warming trend over the last 50 years is nearly twice that for the last 100 years“). This statement was not in the original version reviewed by the scientists. It was inserted into the final draft that was only commented on by Governments. The Chinese Government suggested deleting this, pointing out that:
‘These two linear rates should not compare with each other because the time scales are not the same’.
Well done to the Chinese Government for spotting that. Too bad their valid comment was ignored by the IPCC.
h/t to Roger Carr

You can even get a heck of a good R-squared with a linear trend-line through an incomplete sine wave…
Partial Sine Wave R^2=0.88
The instances of sleight-of-hand (a/k/a “cheating”) just continue to mount. As Steve McIntyre says, with this bunch you always have to watch the pea under the thimble.
Worst. “Science.” Ever…
We used to be able to lie only with statistics, but now we can lie with Math as well.
And this goes along with Geroge E. P. Box’s famous comment:
Essentially, all models are wrong, but some are useful.
Box, George E. P.; Norman R. Draper (1987). Empirical Model-Building and Response Surfaces. Wiley. pp. p. 424. ISBN 0471810339.
Variations:
Remember that all models are wrong; the practical question is how wrong do they have to be to not be useful.
Box and Draper, Empirical Model-Building, p. 74
All models are false but some models are useful.
Retrieved from “http://en.wikiquote.org/wiki/George_E._P._Box”
This particular misuse of end-points has been noted for a while, but I was unaware that it was inserted after the last stage of ‘review’. Given that this bit of ‘science’ is now going ‘mainstream’, and that it should be a trivial exercise for the IPCC to reveal the source, does anyone want to bet on how long it takes from today (4/12/10) for the IPCC to do so? (PS – I don’t believe they will).
So much for the western Enlightenment when we have our leaders corrected by those guys running a big factory/restaurant called China.
This is a linear accelerator.
AGW is simply a f.r.a.u.d …
I’ve always wondered about this mad disease i call “lineartrenditis”. One might just as well draw a straight line from 4.5 billion years ago up till the present day.
You have to get a hockey stick somehow!
x = 5
I love math!
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The slope is linear. It’s equal throughout (.75).
You have to remember their modellers have (studidly, in my view) convinced them that all temp increases from here will be “monotonous”. Believing so leads to this kind of result.
It’s only been in the last couple years that they began straddling this issue, by talking about a temporary pause and then “a return with a vengeance” of warming after that.
I call that a “straddle” because it tries to maintain the illusion of montonous increases by just increasing the timeframe over which they happen. In other words, they are trying to straddle a granularity argument. That increases are monontonous over, say, a 25 year period, but perhaps not for any given 10 year period inside the 25 year period.
I really think you’re beating a dead horse by other means here. The “hockey stick” is no good, and, any misrepresentations about fictitious data are distractions from the primary falsehood which is the “data” itself.
I have to say, I don’t fully understand this criticism. Given just the data in hand, it seems reasonable to estimate the rate of change as has been done. It doesn’t prove anything. If the temperature flattens or turns around tomorrow, the benefit of the increased length of data will show the current result to be artifactual, but given the data we have today, is what they did beyond the pale?
Dr. Bob (13:18:02) :
“[… And this goes along with Geroge E. P. Box’s famous comment:
Essentially, all models are wrong, but some are useful.
Box, George E. P.; Norman R. Draper (1987). Empirical Model-Building and Response Surfaces. Wiley. pp. p. 424. ISBN 0471810339. […]”
I’ve got my copy of that book not two feet from where I’m sitting. I didn’t recall the second part of the quote – just the first part stuck with me – but then again I haven’t had much call for model building in the last 20 years.
Thanks for the memory jogger. I need all of those I can get nowadays ;o)
Another excellent analysis and – hmmm, another “gate”?
And it seams to me the summary point of this is: With a wide variance cycle that measures in the 10s of thousands of years with sub-cycles within that greater cycle, any reference to a short term (couple hundred years or less) trend would (must) include a precise indication of where within each, (the long term cycle and any short term sub-cycle therein), the trend event is taking place for proper “scientific” perspective and obviously – relevance….. Unless, of course, you have an ulterior motive or hidden agenda. But far-be-it for me to accuse anyone of such a thing.
Original Mike,
See arguments by Geo. The arguments in favor of the short-term trends were supposedly backed up by the models. Now there has been 13 yrs of cooling, which wasn’t predicted by the models. So, it all goes back to the validity of the models (i.e., are they reliable?). Remember, the only line of evidence for future warming comes from the models. It’s the only thing that separates AGW from natural variance (over millions of years) which have shown temps to be both cooler and warmer than today.
This is a non story that, I can only assume, is here to provide today’s opportunity for harumpfing.
Those lines just show the linear trend over a variety of times. I don’t think here anyone can (or will) show either that the trends are wrong, or show where anyone (other than Anthony (who I assume has written this piece)) asserts these trends or graphs ‘prove’ anything.
In a post from a year ago…
http://bobtisdale.blogspot.com/2009/03/has-global-warming-accelerated.html
…I looked at the Global SST anomaly trends of the two warming periods in the SST record. The trend of the rise in Global SST anomalies from 1910 to 1943 (0.116 deg C/decade)…
http://s5.tinypic.com/119qzk6.jpg
..is the same as the rise in Global SST anomalies from 1975 to 2007 (0.115 deg C/decade):
http://s5.tinypic.com/2vuk978.jpg
Please explain what the forcing was that caused the warming from 1910 to 1940?
For small laughs, an engineering prof asked us “What’s the derivative of acceleration?”
Looking us in the eyes, he would say “JERK!” to emphasize the double entendre.
1910 to 1940 was steeper, and earlier in the current overall trend. To not address this obvious slope in the graph and focusing on the most recent increase is evidence enough for me that the authors have no credibility.
In the US, you can report such fraud to the:
EPA Office of Inspector General Hotline
http://www.epa.gov/oig/hotline.htm
The Department of Energy, Office of Inspector General
http://www.ig.energy.gov/
FraudNet US Government Accounting Office
http://www.gao.gov/fraudnet/fraudnet.htm
House Committee on Oversight and Government Reform
http://oversight.house.gov/