Temperature tampering temper tantrums

By Christopher Monckton of Brenchley

Commenters on my recent threads explaining the gaping error my team has found in official climatology’s definition of “temperature feedback” have asked whether I will update my series pointing out the discrepancy between the overblown predictions in IPCC’s First Assessment Report of 1990 on which the climate scam was based and the far less exciting reality, and revealing some of the dodgy tricks used by the keepers of the principal global-temperature datasets to make global warming look worse than they had originally reported.

I used to use the RSS satellite dataset as my chief source, because it was the first to publish its monthly data. However, in November 2015, when that dataset had showed no global warming for 18 years 9 months, Senator Ted Cruz displayed our graph of RSS data demonstrating the length of the Pause during a U.S. Senate hearing and visibly discomfited the “Democrats”, who wheeled out an Admiral, no less, to try – unsuccessfully – to rebut it. I predicted in this column that Carl Mears, the keeper of that dataset, would in due course copy all three of the longest-standing terrestrial datasets –GISS, NOAA and HadCRUT4 – in revising his dataset in a fashion calculated to eradicate the long Pause by showing a great deal more global warming in recent decades than the original, published data had shown.

clip_image002[4]

[Fig 1.] The least-squares linear-regression trend on the pre-revision RSS satellite monthly global mean surface temperature anomaly dataset showed no global warming for 18 years 9 months from February 1997 to October 2015, though one-third of all anthropogenic forcings had occurred during the period of the Pause. Ted Cruz baited Senate “Democrats” with this graph in November 2015.

Sure enough, the very next month Dr Mears (who uses the RSS website as a bully-pulpit to describe global-warming skeptics as “denialists”) brought his dataset kicking and screaming into the Adjustocene by duly tampering with the RSS dataset to airbrush out the Pause. He had no doubt been pestered by his fellow climate extremists to do something to stop the skeptics pointing out the striking absence of any global warming whatsoever during a period when one-third of Man’s influence on climate had arisen. And lo, the Pause was gone –

clip_image004[4]

[Fig 2.] Welcome to the Adjustocene: RSS adds 1 K/century to what had been the Pause

As things turned out, Dr sMear need not have bothered to wipe out the Pause. A large el Niño Southern Oscillation did that anyway. However, an interesting analysis by Professor Fritz Vahrenholt and Dr Sebastian Lüning (at diekaltesonne.de/schwerer-klimadopingverdacht-gegen-rss-satellitentemperaturen-nachtraglich-um-anderthalb-grad-angehoben) concludes that his dataset, having been thus tampered with, can no longer be considered reliable. The analysis sheds light on how the RSS dataset was massaged. The two scientists conclude that the ex-post-facto post-processing of the satellite data by RSS was insufficiently justified –

clip_image006[4]

[Fig 3.] RSS monthly global mean lower-troposphere temperature anomalies, January 1979 to June 2018. The untampered version is in red; the tampered version is in blue. Thick spline-curves represent the simple 37-month moving averages. Graph by Professor Ole Humlum from his fine website at www.climate4you.com.

RSS racked up the previously-measured temperatures from 2000 on, increasing the overall warming rate since 1979 by 0.15 K, or about a quarter, from 0.62 K to its present 0.77 K –

clip_image008[4]

[Fig 4.]

You couldn’t make it up, but Lüning and Vahrenholt find that RSS did

The year before the RSS data were Mannipulated, RSS had begun to take a serious interest in the length of the Pause. Dr Mears discussed it in his blog at remss.com/blog/recent-slowing-rise-global-temperatures. His then results are summarized below –

clip_image010[4]

[Fig 5.]  (Orig Figure T1) Output of 33 IPCC models (turquoise) compared with measured RSS global temperature change (black), 1979-2014.

Dr Mears had a temperature tantrum and wrote:

“The denialists like to assume that the cause for the model/observation discrepancy is some kind of problem with the fundamental model physics, and they pooh-pooh any other sort of explanation.  This leads them to conclude, very likely erroneously, that the long-term sensitivity of the climate is much less than is currently thought.”

Dr Mears conceded the growing discrepancy between the RSS data and the models, but he alleged we had “cherry-picked” the start-date for the global-temperature graph:

“Recently, a number of articles in the mainstream press have pointed out that there appears to have been little or no change in globally averaged temperature over the last two decades.  Because of this, we are getting a lot of questions along the lines of ‘I saw this plot on a denialist web site.  Is this really your data?’  While some of these reports have ‘cherry-picked’ their end points to make their evidence seem even stronger, there is not much doubt that the rate of warming since the late 1990s is less than that predicted by most of the IPCC AR5 simulations of historical climate.  … The denialists really like to fit trends starting in 1997, so that the huge 1997-98 ENSO event is at the start of their time series, resulting in a linear fit with the smallest possible slope.”

In fact, the spike caused by the el Niño of 1998 was almost entirely offset by two factors: the not dissimilar spike of the 2010 el Niño, and the sheer length of the Pause itself.

clip_image012[4]

[Fig 6.] Graphs by Werner Brozek and Professor Brown for RSS and GISS temperatures starting both in 1997 and in 2000. For each dataset the trend-lines are near-identical. Thus, the notion that the Pause was caused by the 1998 el Niño is false.

The above graph demonstrates that the trends in global temperatures shown on the pre-tampering RSS dataset and on the GISS dataset were exactly the same before and after the 1998 el Niño, demonstrating that the length of the Pause was enough to nullify its imagined influence.

It is worth comparing the warming since 1990, taken as the mean of the four Adjustocene datasets (RSS, GISS, NCEI and HadCRUT4: first graph below), with the UAH dataset that Lüning and Vahrenholt commend as reliable (second graph below) –

clip_image014[4]

[Fig 7.] Mean of the RSS, GISS, NCEI and HadCRUT4 monthly global mean surface or lower-troposphere temperature anomalies, January 1990 to June 2018 (dark blue spline-curve), with the least-squares linear-regression trend on the mean (bright blue line), compared with the lesser of two IPCC medium-term prediction intervals (orange zone).

clip_image016[4]

[Fig 8.] RSS lower-troposphere anomalies and trend for January 1990 to June 2018

It will be seen that the warming trend in the Adjustocene datasets is almost 50% greater over the period than that in the RSS dataset that Lüning and Vahrenholt find more reliable.

After the adjustments, the RSS dataset since 1990 now shows more warming than any other dataset, even the much-tampered-with GISS dataset –

clip_image018[4]

[Fig 9.]  Centennial-equivalent global warming rates for January 1990 to June 2018. IPCC’s two mid-range medium-term business-as-usual predictions and our revised prediction based on correcting climatology’s error in defining temperature feedback (white lettering) are compared with observed centennial-equivalent rates (blue lettering) from the five longest-standing datasets.

Note that RSS’ warming rate since 1990 is close to double that from UAH, which had revised its global warming rate downward two or three years ago. Yet the two datasets rely upon precisely the same satellite data. The difference of almost 1 K/century in the centennial-equivalent warming rate shows just how heavily dependent the temperature datasets have become on subjective adjustment rather than objective measurement.

Should we cynically assume that these adjustments – up for RSS, GISS, NCEI and HadCUT4, and down for UAH – reflect the political prejudices of the keepers of the datasets? Lüning and Vahrenholt can find no rational justification for the large and sudden alteration to the RSS dataset so soon after Ted Cruz had used our RSS graph of the Pause in a Senate hearing. However, they do not find the UAH data to have been incorrectly adjusted. They commend UAH as sound.

The “MofB” hindcast is based on two facts: first, that we calculate Charney sensitivity to be just 1.17 K per CO2 doubling, and secondly that in many models the predicted equilibrium warming from doubled CO2 concentration, the “Charney sensitivity”, is approximately equal to the predicted transient warming from all anthropogenic sources over the 21st century. This is, therefore, a rather rough-and-ready prediction: but it is more consistent with the UAH dataset than with the questionable Adjustocene datasets.

The extent of the tampering in some datasets is enormous. Another splendidly revealing graph from the tireless Professor Humlum, who publishes a vast range of charts on global warming in his publicly-available monthly report at climate4you.com –

clip_image020[4]

[Fig 10.] Mann-made global warming: how GISS boosted apparent warming by more than half.

GISS, whose dataset is now so politicized as to render it valueless, sMeared the data over a period of less than seven years from March 2010 to December 2017 so greatly as to increase the apparent warming rate over the 20th century by just over half. The largest change came in March 2013, by which time my monthly columns here on the then long-running Pause had already become a standing embarrassment to official climatology. Only the previous month, the now-disgraced head of the IPCC, railroad engineer Pachauri, had been one of the first spokesmen for official climatology to admit that the Pause existed. He had done so during a speech in Melbourne that was reported by just one newspaper, The Australian, which has long been conspicuous for its willingness faithfully to reflect both sides of the climate debate.

What is fascinating is that, even after the gross data tamperings towards the end of the Pause by four of the five longest-standing datasets, and even though the trend on all datasets is also somewhat elevated by the large el Niño of a couple of years ago, IPCC’s original predictions from 1990, the predictions that got the scare going, remain egregiously excessive.

Even IPCC itself has realized how absurd its original predictions were. In its 2013 Fifth Assessment Report, it abandoned its reliance on models for the first time, substituted what it described as its “expert judgment” for their overheated outputs, and all but halved its medium-term prediction. Inconsistently, however, it carefully left its equilibrium prediction – 1.5 to 4.5 K warming per CO2 doubling – shamefully unaltered.

IPCC’s numerous unthinking apologists in the Marxstream media have developed a Party Line to explain away the abject predictive failure of IPCC’s 1990 First Assessment Report and even to try to maintain, entirely falsely, that “It’s worser than what we ever, ever thunk”.

One of their commonest excuses, trotted out with the glazed expression, the monotonous delivery and the zombie-like demeanor of the incurably brainwashed, is that thanks to the UN Framework Convention on Global Government Climate Change the reduction in global CO2 emissions has been so impressive that emissions are now well below the “business-as-usual” scenario A in IPCC (1990) and much closer to the less extremist scenario B.

Um, no. Even though official climatology’s CO2 emissions record is being hauled into the Adjustocene, in that it is now being pretended that – per impossibile – global CO2 emissions are unchanged over the past five years, the most recent annual report on CO2 emissions shows them as near-coincident with the “business-as-usual” scenario in IPCC (1990) –

clip_image022[4]

[Fig 11.] Global CO2 emissions are tracking IPCC’s business-as-usual scenario A

When that mendacious pretext failed, the Party developed an interesting fall-back line to the effect that, even though emissions are not, after all, following IPCC’s Scenario B, the consequent radiative forcings are a lot less than IPCC (1990) had predicted. And so they are. However, what the Party Line is very careful not to reveal is why this is the case.

The Party realized that its estimates of the cumulative net anthropogenic radiative forcing from all sources were high enough in relation to observed warming to suggest a far lower equilibrium sensitivity to radiative forcing than originally decreed. Accordingly, by the Third Assessment Report IPCC had duly reflected the adjusted Party Line by waving its magic wand and artificially and very substantially reducing the net anthropogenic forcing by introducing what Professor Lindzen has bluntly called “the aerosol fudge-factor”. The baneful influence of this fudge-factor can be seen in IPCC’s Fifth Assessment Report –

clip_image024[4]

[Fig 12.] Fudge, mudge, kludge: the aerosol fudge-factor greatly reduces the manmade radiative forcing and falsely boosts climate sensitivity (IPCC 2013, fig. SPM.5).

IPCC’s list of radiative forcings compared with the pre-industrial era shows 2.29 Watts per square meter of total anthropogenic radiative forcing relative to 1750. However, this total would have been considerably higher without the two aerosol fudge-factors, totaling 0.82 Watts per square meter. If two-thirds of this total is added back, as it should be, for anthropogenic aerosols are as nothing to such natural aerosols as the Saharan winds that can dump sand as far north as Scotland, the net anthropogenic forcing becomes 2.85 Watts per square meter. Here is how that makes a difference to apparent climate sensitivity –

clip_image026[4] clip_image028[4]

[Fig 13.] How the aerosol fudge-factor artificially hikes the system-gain factor A.

In the left-hand panel, the reference sensitivity (the anthropogenic temperature change between 1850 and 2010 before accounting for feedback) is the product of the Planck parameter 0.3 Kelvin per Watt per square meter and IPCC’s 2.29 W m–2 mid-range estimate of the net anthropogenic radiative forcing in the industrial era to 2011: i.e., 0.68 K.

Equilibrium sensitivity is a little more complex, because official climatology likes to imagine (probably without much justification) that not all anthropogenic warming has yet occurred. Therefore, we have allowed for the mid-range estimate in Smith (2015) of the 0.6 W m–2 net radiative imbalance to 2009, converting the measured warming of 0.75 K from 1850-2011 to an equilibrium warming of 1.02 K.

The system-gain factor, using the delta-value form of the system-gain equation that is at present universal in official climatology, is the ratio of equilibrium to reference sensitivity: i.e. 1.5. Since reference sensitivity to doubled CO2, derived from CMIP5 models’ data in Andrews (2012), is 1.04 K, Charney sensitivity is 1.5 x 1.04 or 1.55 K.

In the right-hand panel, just over two-thirds of the 0.82 K aerosol fudge-factor has been added back into the net anthropogenic forcing, making it 2.85 K. Why add it back? Well, without giving away too many secrets, official climatology has begun to realize that the aerosol fudge factor is very much too large. It is so unrealistic that it casts doubt upon the credibility of the rest of the table of forcings in IPCC (1990, fig. SPM.5). Expect significant change by the time of the next IPCC Assessment Report in about 2020.

Using the corrected value of net anthropogenic forcing, the system-gain factor falls to 1.13, implying Charney sensitivity of 1.13 x 1.04, or 1.17 K.

Let us double-check the position using the absolute-value equation that is currently ruled out by official climatology’s erroneously restrictive definition of “temperature feedback” –

clip_image030[4] clip_image032[4]

[Fig 14.] The system-gain factor for 2011: (left) without and (right) with fudge-factor correction

Here, an important advantage of using the absolute-value system-gain equation ruled out by official climatology’s defective definition becomes evident. Changes in the delta values cause large changes in the system-gain factor derived using climatology’s delta-value system-gain equation, but very little change when it is derived using the absolute-value equation. Indeed, using the absolute-value equation the system gain factors for 1850 and for 2011 are just about identical at 1.13, indicating that under modern conditions non-linearities in feedbacks have very little impact on the system-gain factor.

Bottom line: No amount of temperature-tampering tantrums will alter the fact that, whether one uses the delta-value equation (Charney sensitivity 1.55 K) or the absolute-value equation (Charney sensitivity 1.17 K), the system-gain factor is small and, therefore, so are equilibrium temperatures.

Finally, let us enjoy another look at Josh’s excellent cartoon on the Adjustocene –

clip_image034[5]

[Fig 15.]

0 0 votes
Article Rating

Discover more from Watts Up With That?

Subscribe to get the latest posts sent to your email.

261 Comments
Inline Feedbacks
View all comments
August 23, 2018 12:24 pm

Lord Monckton continues to assert “Using the corrected value of net anthropogenic forcing, the system-gain factor falls to 1.13, implying Charney sensitivity of 1.13 x 1.04, or 1.17 K”, despite the fact that at https://wattsupwiththat.com/2018/08/15/climatologys-startling-error-of-physics-answers-to-comments/#comment-2433180 I demonstrated the error in that calculation, which was to ignore any change in feedback between 1850 and the time of CO2 doubling (say 2100). Here is my proof again. (LM made a promise to respond to this criticism, but it sure is a long time a’coming. How long, oh Lord, how long?)

Regarding notation, I shall use the equation E = R/(1-f) at the head of this thread, rather than the notation in his document error-summ.pdf (“the PDF”), though I do take the values of these variables exclusively from that document. So R is the “reference temperature”, including GHG forcing but no feedbacks, f is the feedback ratio, and E is the equilibrium temperature after feedbacks have applied and settled down. The PDF also uses the variable A = 1/(1-f). I use the qualifier ‘1’ to correspond to Monckton’s “Equilibrium 1” date of 1850. Thus,

E1 = R1/(1-f1)

where R1 = 254.8K (called T_{r1} in the PDF), E1 = 287.55K (called T_{q1}), f1 = 1-R1/E1 = 0.1139.

I then use the qualifier ‘2’ to correspond to the “Equilibrium 2” date of 2011. Thus,

E2 = R2/(1-f2)

where R2 = 254.8+0.68 = 255.48K, E2 = 287.55+1.02 = 288.57K, f2 = 1-R2/E2 = 0.1147.

Now, my “dissection” to arrive at E2-E1 was:

E2/E1 = (R2/(1-f2)/(R1/(1-f1))

E2-E1 = E1[ (R2-R1)/R1 + (f2-f1)/(1-f2) + [(R2-R1)(f2-f1)]/[R1(1-f2)] ]
I can spell that out in easier steps if that is required. I then drop the last term because it is the product of two small first-order (but important) quantities:

E2-E1 = E1[ (R2-R1)/R1 + (f2-f1)/(1-f2) ] (*)
This equation (*), which is new as far as I can tell, establishes that a change in equilibrium temperature E arises from two sources, an ‘R’ part and an ‘f’ part. From the figures above we have the two parts being

E1(R2-R1)/R1 = 0.77K
E1(f2-f1)/(1-f2) = 0.26K

Thus E2-E1 = 1.03K which agrees with the PDF’s 1.02K to within rounding error, and corroborates the algebraic manipulations which led to it. I then move on to consideration of “Equilibrium 3”, for a doubling of CO2 from 1850 values. In previous comments I reused the qualifier ‘2’ for this, following the lead of the PDF itself, but it will be clearer if I use ‘3’ instead here.

Thus R3 = R1 + 1.04 = 254.8+1.04 = 255.84K.

Now, the said doubling has not happened yet, so we don’t know what f3 and E3 will be. But if we accept the Monckton et al view of feedback, we know that E3 = R3/(1-f3), and therefore by (*) with ‘2’ replaced by ‘3’,

E3-E1 = E1[ (R3-R1)/R1 + (f3-f1)/(1-f3) ] (**)

In Monckton’s preceding comments at 4.16am and 4.34 am, he made the assertions “the system-gain factors for 1850 and 2011 are so near-identical that one may safely use that value in deriving Charney sensitivity” and “he would rather continue relying on the error-prone delta-value system-gain equation exclusively used in climatology” respectively.

The first assertion is an understandable error, because the values f1 = 0.1139 and f2 = 0.1147 do look very close. But a consequence of Monckton’s desire _not_ to use delta values, means that when one multiplies the small difference f2-f1 (divided by 1-f2 in (*)) by the largeish number E1 = 287.55K one gets a not insignificant number 0.26K which provides a contribution of one quarter of the total E2-E1.

The second assertion is just a misunderstanding of my mathematics, which I hope is cleared up by the present elaboration.

Now, the nub of the matter is the value of S = E3-E1, the total equilibrium warming from a doubling of CO2. The PDF uses the value

1.17K = 287.55(255.84-254.8)/254.8 = E1(R1-R3)/R1

Thus, comparing with (**), it has been assumed that f3 = f1, precisely in line with Monckton’s first assertion above. Yet, if it were the case that f2 = f1, then E2-E1 would be only 0.77K, which is quite a large discrepancy from the PDF’s quoted 1.02K, and one which could not be overlooked. Since f2-f1 is not zero, by the small amount 0.0008 which has these significant consequences, it seems unwise to assume that f3-f1 is zero.

In my earlier comment I argued that f3-f1 should be at least f2-f1, and more likely twice as much because it applies to a whole doubling of CO2 rather than a half doubling. Hence I would add 0.52K to that 1.17K to get 1.69K.

And some climate scientists may find arguments for f3-f1 > 2(f2-f1), while others may find arguments for it being smaller. But, if one accepts this Monckton et al view of sensitivity (and I have expressed reservations), then the argument is all about the value

…………………………f3 – f1…………………….

Monckton of Brenchley
Reply to  See - owe to Rich
August 23, 2018 3:31 pm

In response to Rich, the reference and equilibrium temperatures in 1850 were 254.8 K and 287.55 K respectively, giving a system-gain factor 1.1285 (the ratio of equilibrium to reference temperature).
The reference and equilibrium sensitivities from 1850-2011 were 0.68 K and 1.02 K respectively, assuming that the very uncertain official mid-range estimates are correct, giving a system-gain factor (using the delta-value equation) of 1.1295.
These deltas should in fact be adjusted to cancel out the aerosol fudge factor, giving 0.85 K and 0.95 K respectively, for a system-gain factor 1.12.
If, however, one were to assume that there is a real growth in the system-gain factor, and that that growth should be allowed for, giving a system-gain factor 1.1305, the Charney sensitivity would be the product of the enhanced system-gain factor 1.1305 and the reference sensitivity 1.0363 K to doubled CO2, giving Charney sensitivity of 1.17 K, as before.
For system-gain factors 1.1315, 1.1325, 1.1335 respectively, Charney sensitivities would be 1.17 K, 1.17 K and 1.17 K respectively.

Reply to  Monckton of Brenchley
August 24, 2018 12:57 am

I thank Lord Monckton for finally replying. I am about to go on a short holiday, after which I shall study LM’s argument. I note, however, that he has not referred to my mathematics above, which is incontrovertible. I am not sure if this is due to a lack of understanding of it, or a recognition that it encompasses an inconvenient truth for him and his co-authors.

Monckton of Brenchley
Reply to  See - owe to Rich
August 24, 2018 7:38 pm

Rich whines that I had “made a promise to respond” to his “criticism, but it sure is a long time a’coming. How long, oh Lord, how long?”, and yet, rather than replying at once to my response, he wanders off on “a short holiday”. This double standard is regrettable. Rich should understand that, like him, I do other things than climate, and I am under no obligation to reply immediately or at all to what he calls his “criticism”.

Stripped of a lot of unnecessary and ludicrously roundabout math, which still contains several errors, and on which I do not propose to waste any time, Rich is saying that there is a difference of 0.001 between the system-gain factors A(1) for 1850 and A(2) for 2011. If he had read the original head posting to which he was responding, I had taken explicit account of this difference by pointing out that, using official climatology’s delta-value system gain equation, A(2) would be 1.5 rather than the 1.13 we had derived using the absolute-value equation. This would give Charney sensitivity 1.55 K (not far off his 1.7 K) rather than 1.17 K.

If Rich had read the present head posting, he would realize that official climatology’s mid-range estimate of the net anthropogenic forcing is just that – an estimate – and that that estimate had been artificially reduced by the introduction of an over-large negative aerosol forcing, which Professor Lindzen has justifiably called a “fudge-factor”. Upthread here, he will find a reference to a recent peer-reviewed paper discussing this problem: and IPCC’s forthcoming report on the hydrosphere and cryosphere may be revisiting it as well. Removing just two-thirds of that fudge-factor, as the head posting makes clear, gives A(2) = 1.13 even using the delta-value system-gain equation, implying 1.17 K Charney sensitivity.

Among the many mistakes made by Rich in his mathematical trip round the houses is that he has attempted to apply the system-gain factor for 2011 to a doubling of CO2 compared with 1850, mixing and matching his variables to suit what appears to be a preconceived but erroneous notion. This gets him into the following mess, for instance:

1.17K = 287.55(255.84-254.8)/254.8 = E1(R1-R3)/R1

What I think he means is

1.17K = 287.55(255.84-254.8)/254.8 = E1(R2-R1)/R1

The central point he has missed is that far greater uncertainty arises if one uses the delta-value equation than if one uses the absolute-value equation, where even quite large absolute variances in the values of reference and equilibrium temperature make very little difference to the value of the system-gain factor.

Finally, even if Rich’s 1.7 K Charney sensitivity were correct, that would still be only half of the CMIP5 models’ current mid-range Charney sensitivity 3.4 K.

Reply to  Monckton of Brenchley
August 27, 2018 1:30 pm

OK, I’m back after a delay, and now ready to tap in the last nail.

The executive summary is that Monckton’s quoted sensitivity of 1.17K in the presence of increasing feedback does not satisfy, in a material way, his own basic equations.

But first let us review the bidding across papers and blog threads. Monckton et al’s draft paper proposes that Earth’s mean temperature can be modelled by E = R/(1-f) where E is equilibrium temperature including feedbacks, R is “reference” temperature including greenhouse gases but no feedbacks, and f is the feedback ratio. They also use A for the value 1/(1-f) to represent the system gain factor. In the thread https://wattsupwiththat.com/2018/08/15/climatologys-startling-error-of-physics-answers-to-comments , at a comment dated August 19 2:45pm, I objected to the way that Lord Monckton was calculating the sensitivity to a doubling of CO2, E3-E1, where ‘1’ refers to the year 1850 and ‘3’ refers to the future date at which 1850’s CO2 has been doubled. Since my comment was unanswered, I repeated it at https://wattsupwiththat.com/2018/08/21/temperature-tampering-temper-tantrums/#comment-2436801 on this thread, and Monckton did then answer at August 23 3:31pm and at August 24 7:38pm, to which I am responding in reverse order.

Response to Monckton’s August 23 3:31pm:

I am sorry that Lord Monckton thinks I am applying double standards regarding speed of reply. The difference is that I did reply at once to LM’s response, just not in the fullest terms, whilst giving an explanation for the delay. I wish to make it clear that I am not using “official climatology’s delta value system gain equation”, but Monckton’s own equation. As to talk of aerosols, whilst interesting, it is not germane to the matter at hand, which is the purely mathematical question of the correct calculation of sensitivity = E3-E1 given R1, R3, f1, f3. I do, though, agree with Monckton’s sentiment that a value of 1.7K is only half of the CMIP5 mid-range, and in my view does not appear alarming.

Response to Monckton’s August 23 3:31pm:

Despite his having previously asked me to supply variables, equations and values in a concise form, Monckton’s own reply contained only values. To help the reader, at the bottom of this comment I have reproduced Monckton’s reply with variable names too, thereby showing that his

1.17K is derived from (R3-R1)/(1-f3) = A3(R3-R1)

However, as noted in my earlier detailed comment, that expression is incorrect for E3-E1. For,

E1 = R1/(1-f1)
E3 = R3/(1-f3) = A3 R3

So it is true that if f1 = f3 then E3-E1 = (R3-R1)/(1-f3) as claimed, but not otherwise – the equation (**) I gave supplies the correct value. Without using (**) we can calculate E3-E1 directly. E1 has been established as 287.55K, R3 is R1+1.04 = 254.8+1.04 = 255.84, A3 is (putatively) 1.1305 so

E3 = 255.84(1.1305) = 289.23K
E3-E1 = 1.68K

Notice that 1.68K, the sensitivity = equilibrium temperature increase after doubling CO2, is a rather larger number than the 1.17K which Monckton wrote down four times in his reply.

Here is (**) again, but converted to a new (***) to take advantage of the equation E1/R1 = 1/(1-f1):

E3-E1 = (R3-R1)/(1-f1) + E1(f3-f1)/(1-f3) (***)

Like (**), Equation (***) is incorrect by a tiny missing term. Now, we can calculate the second term here, given that E1 = 287.55K, f1 = 1-1/A1 = 1-1/1.1285 = 0.11387, f3 = 1-1/1.1305 = 0.11544,

E1(f3-f1)/(1-f3) = 287.55(0.00157)/(1-0.11544) = 0.51K

and this agrees with the discrepancy between the correct value 1.68K above and Monckton’s 1.17K.

QED, as they say.

(Note that for those preferring A’s to f’s (***) can be rewritten as E3-E1 = A1(R3-R1) + (A3-A1)R1.)

Here is a request for readers – if you agree with my analysis then please hit the +1 button. Not that mathematics is done by democracy of course 🙂

So here is my annotated version of Monckton’s reply; I have used [] for new text, and deleted the bit about aerosols which, whilst of some interest, is not germane to the discrepancy at hand:

//In response to Rich, the reference and equilibrium temperatures in 1850 were [R1=] 254.8 K and [E1=] 287.55 K respectively, giving a system-gain factor [A1=] 1.1285 (the ratio of equilibrium to reference temperature).

The reference and equilibrium sensitivities from 1850-2011 were [R2-R1=] 0.68 K and [E2-E1=] 1.02 K respectively, assuming that the very uncertain official mid-range estimates are correct, giving a system-gain factor (using the delta-value equation) of [A2=] 1.1295.

If, however, one were to assume that there is a real growth in the system-gain factor, and that that growth should be allowed for, giving a system-gain factor [A3=] 1.1305, the Charney sensitivity would be the product of the enhanced system-gain factor [A3=] 1.1305 and the reference sensitivity [R3-R1=] 1.0363 K to doubled CO2, giving Charney sensitivity of [A3(R3-R1)=] 1.17 K, as before.

For system-gain factors [A3=] 1.1315, 1.1325, 1.1335 respectively, Charney sensitivities would be 1.17 K, 1.17 K and 1.17 K respectively.//

Reply to  See - owe to Rich
August 30, 2018 11:48 pm

Well, again it is nigh on four score and seven hours without a reply from Lord Monckton. (Alas I have to go to work rather than waiting for that hour.)

But at least I now know that there are good reasons for this. For example, “Rich should understand that, like him, I do other things than climate”. Well, that is very good, and I hope Lord Monckton is having an enjoyable time with them. Also, “I am under no obligation to reply immediately or at all”. That is true, though given the dynamics of the situation, in which Monckton is effectively publicly defending a “thesis”, one would have thought that he would wish to respond to non-frivolous comments such as mine. Before my latest comment, Monckton’s attitude was that I had provided “a lot of unnecessary and ludicrously roundabout math, which still contains several errors, and on which I do not propose to waste any time”; I hope that my latest comment has eliminated errors and simplified the mathematics a bit, so that it is clear why E3-E1 is 1.68K rather than 1.17K given the putative input variables and Monckton’s own equations, with which we have been working, and that therefore Monckton might take a more positive view.

On the other hand, I am happy to admit that when finding a new theorem or equation, one does not always find the simplest proof first time. And in fact here is a simpler one; by directly looking at the difference between the desired value of E3-E1 and the Moncktonian expression

(R3-R1)/(1-f1) ()

one obtains

E3 – E1 – (R3-R1)/(1-f1)
= R3/(1-f3) – R1/(1-f1) – (R3-R1)/(1-f1)
= R3(1/(1-f3) – 1/(1-f1))
= R3(f3-f1)/((1-f1)(1-f3))
= E3(f3-f1)/(1-f1) (****)

and this is exactly correct whereas (***) misses a small error term. In fact the correction term E1(f3-f1)/(1-f3) in (***) is exactly correct if Monckton were to replace f1 by f3 in (), since in similar fashion

E3 – E1 – (R3-R1)/(1-f3)
= E1(f3-f1)/(1-f3)

Now that I have established a simpler derivation of the correction term which gives the value 0.51K in the said circumstances, I am happy to wait for Lord Monckton to mull this over and then issue an acknowledgement (and I hope that perhaps his eminent co-authors will have some influence in this). Whilst waiting, I may of course write an occasional reminder on WUWT, and go on the occasional holiday 🙂

Frank
August 27, 2018 3:28 am

MOB writes: “Note that RSS’ warming rate since 1990 is close to double that from UAH, which had revised its global warming rate downward two or three years ago. Yet the two datasets rely upon precisely the same satellite data. The difference of almost 1 K/century in the centennial-equivalent warming rate shows just how heavily dependent the temperature datasets have become on subjective adjustment rather than objective measurement.”

Neither RSS nor UAH have “subjective adjustments”. Their dataset have been compiled using data from satellites whose slowly drifting paths didn’t cross over the same location at the same time every day. Until recently, RSS and UAH have processed the satellite data without correcting for this drift and they were in reasonable agreement with each other about warming. Now, both groups are exploring different methods for NON-SUBJECTIVELY correcting for satellite drift. Different methods are producing different answers, and no amateurs have the slightest idea (except prejudice) which method, if any, will turn out to be best.

The bottom line? MOB’s over-publicized Figure 1 showing a long pause was constructed with data that we now know is badly flawed.

MOB also tells us: “As things turned out, [Dr Mears] need not have bothered to wipe out the Pause. A large el Niño Southern Oscillation did that anyway.”

A strong El Nino lasts for about one year (or six months if one looks only at the central portion that clearly risings about background change). Unlike the 97/98 El Nino, current temperature hasn’t fallen to the pre-El Nino levels. Evidence for new average about 0.2 K higher that the plateau that existed during the Pause is growing. We certainly are nowhere near returning to Pause levels.

TonyN
Reply to  Frank
August 27, 2018 6:42 am

Frank,

Is it true that the same satellite data is used in both cases, or are there two satellites?

Is it true that when different methods produce different results, a choice between the two is essentially subjective, until one or other methods can be proven to be the better one?

TonyN

August 27, 2018 1:36 pm

This posting is now quite old and therefore perhaps not being well followed. So I wish to advertize here the comment which I just made in mid-thread, at
https://wattsupwiththat.com/2018/08/21/temperature-tampering-temper-tantrums/#comment-2440661 . It explains the discrepancy between Monckton (1.17K) and me (1.68K) for climate sensitivity using E=R/(1-f).

Rich.

August 28, 2018 1:06 am

Good points, at least from within the international discussion. But the discussion itself was started off on the wrong foot. Global warming in an Ice Age is always a good thing. Always! All change creates problems, but global cooling in an Ice Age is far, far worse. And we need far more CO2 — and have needed it for 30+ million years — ever since CO2 starvation shocked plants worldwide into evolving C4 species.

Sgt
August 29, 2018 8:14 pm

When has Monckton ever apologized for his slur on the honor of America for calling the atomic bombings of Japan an “atrocity”?

https://wattsupwiththat.com/2014/04/05/no-global-warming-for-17-years-8-months/

Hundreds of thousands of American, and even some British lives, and millions if not tens of millions of Japanese lives were saved by Truman’s decision.

Why is such an enemy of America allowed to post here? Let the cowardly Limey bastard educate himself:

https://www.youtube.com/watch?v=gopck-B6M18

Being of southern Italian ancestry, none of my ancestors had the great pleasure and honor of shooting down his Redcoat ancestors and relatives like the dogs they were, but at least some of my grandkids can claim that honor and pleasure.

What a bug-eyed, pusillanimous pussy, disgusting, revolting, shameless dishonorable, moist, stinking splat of subhuman excrement!

Sgt
Reply to  Sgt
August 29, 2018 8:33 pm

One British division was scheduled for Operation Coronet, the invasion of Honshu after the invasion of Kyushu in Operation Olympic in 1945, in which I would have participated.

(SNIPPED) mod

Sgt
Reply to  Sgt
August 29, 2018 9:13 pm

Mod,

You don’t think it’s relevant that Monckton’s own dad might have been saved by the “atrocity” the worm claims?

His dad, who by the way avoided a lot of combat by going to staff school in the US. While my comrades and I were fighting and dying in the Pacific.

Fine. I’m outa here, as the kids say. You can keep your precious pet megalomaniacal, anti-American, second generation aristocrat.

Sgt
Reply to  Sgt
August 29, 2018 8:38 pm

We bagged this one!

https://en.wikipedia.org/wiki/Henry_Monckton

Was Bomber Command’s raid on Dresden an atrocity too, Limey liar?

I’m in moderation for daring to point out that Monckton is scum. The slimeball claims that the action which saved millions if not tens of millions, including probably mine, for sure many of my comrades’ and maybe his dad’s, and kept half of Japan from going Commie, to be like North Korea today, was an “atrocity”.

I have nothing but utter, complete and total contempt for this worm. And that goes double for this site for giving this slimeball ink.

Monckton of Brenchley
Reply to  Sgt
September 2, 2018 9:48 am

Moderators, please delete all comments from “sgt”. They offend against site policy.

[Noted, forwarded. .mod]