Towards a theory of climate

By Christopher Monckton of Brenchley

I have just had the honor of listening to Professor Murry Salby giving a lecture on climate. He had addressed the Numptorium in Holyrood earlier in the day, to the bafflement of the fourteenth-raters who populate Edinburgh’s daft wee parliament. In the evening, among friends, he gave one of the most outstanding talks I have heard.

Professor Salby has also addressed the Parliament of Eunuchs in Westminster. Unfortunately he did not get the opportunity to talk to our real masters, the unelected Kommissars of the European tyranny-by-clerk.

The Faceless Ones whose trembling, liver-spotted hands guide the European hulk of state unerringly towards the bottom were among the first and most naively enthusiastic true-believers in the New Superstition that is global warming. They could have benefited from a scientific education from the Professor.

His lecture, a simplified version of his earlier talk in Hamburg that was the real reason why spiteful profiteers of doom at Macquarie “University” maliciously canceled his non-refundable ticket home so that he could not attend the kangaroo court that dismissed him, was a first-class exercise in logical deduction.

He had written every word of it, elegantly. He delivered it at a measured pace so that everyone could follow. He unfolded his central case step by step, verifying each step by showing how his theoretical conclusions matched the real-world evidence.

In a normal world with mainstream news media devoted to looking at all subjects from every direction (as Confucius used to put it), Murry Salby’s explosive conclusion that temperature change drives CO2 concentration change and not the other way about would have made headlines. As it is, scarce a word has been published anywhere.

You may well ask what I might have asked: given that the RSS satellite data now show a zero global warming trend for 17 full years, and yet CO2 concentration has been rising almost in a straight line throughout, is it any more justifiable to say that temperature change causes CO2 change than it is to say that CO2 change causes temperature change?

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The Professor headed that one off at the pass. During his talk he said it was not global temperature simpliciter but the time-integral of global temperature that determined CO2 concentration change, and did so to a correlation coefficient of around 0.9.

I had first heard of Murry Salby’s work from Dick Lindzen over a drink at a regional government conference we were addressing in Colombia three years ago. I readily agreed with Dick’s conclusion that if we were causing neither temperature change nor even CO2 concentration change the global warming scare was finished.

I began then to wonder whether the world could now throw off the absurdities of climate extremism and develop a sensible theory of climate.

In pursuit of this possibility, I told Professor Salby I was going to ask two questions. He said I could ask just one. So I asked one question in two parts.

First, I asked whether the rapid, exponential decay in carbon-14 over the six decades following the atmospheric nuclear bomb tests had any bearing on his research. He said that the decay curve for carbon-14 indicated a mean CO2 atmospheric residence time far below the several hundred years assumed in certain quarters. It supports Dick Lindzen’s estimate of a 40-year residence time, not the IPCC’s imagined 50-200 years.

Secondly, I asked whether Professor Salby had studied what drove global temperature change. He said he had not gotten to that part of the story yet.

In the past year, I said, four separate groups haf contacted me to say they were able to reproduce global temperature change to a high correlation coefficient by considering it as a function of – and, accordingly, dependent upon – the time-integral of total solar irradiance.

If these four groups are correct, and if Professor Salby is also correct, one can begin to sketch out a respectable theory of climate.

The time-integral of total solar irradiance determines changes in global mean surface temperature. Henrik Svensmark’s cosmic-ray amplification, which now has considerable support in the literature, may help to explain the mechanism.

In turn, the time integral of absolute global mean temperature determines the concentration of CO2 in the atmosphere. Here, the mechanism will owe much to Henry’s Law, which mandates that a warmer ocean can carry less CO2 than a colder ocean. I have never seen an attempt at a quantitative analysis of that relationship in this debate, and should be grateful if any of Anthony’s readers can point me to one.

The increased CO2 concentration as the world warms may well act as a feedback amplifying the warming, and perhaps our own CO2 emissions make a small contribution. But we are not the main cause of warmer weather, and certainly not the sole cause.

For the climate, all the world’s a stage. But, if the theory of climate that is emerging in samizdat lectures such as that of Professor Salby is correct, we are mere bit-part players, who strut and fret our hour upon the stage and then are heard no more.

The shrieking hype with which the mainstream news media bigged up Typhoon Haiyan/Yolanda, ruthlessly exploiting lost lives in their increasingly desperate search for evidence – any evidence – as ex-post-facto justification for their decades of fawning, head-banging acquiescence in the greatest fraud in history shows that they have begun to realize that their attempt at politicizing science itself is failing.

Whether they like it or not, typhoons are acts of God, not of Man.

I asked Professor Salby whether there was enough information in the temperature record to allow him to predict the future evolution of atmospheric CO2 concentration. He said he could not do that.

However, one of the groups working on the dependence of global temperature change on the time-integral of total solar irradiance makes a startling prediction: that we are in for a drop of half a Celsius degree in the next five years.

When I made a glancing reference to that research in an earlier posting, the propagandist John Abraham sneeringly offered me a $1000 bet that the fall in global temperature would not happen.

I did not respond to this characteristically jejune offer. A theory of climate is a hypothesis yet to be verified by observation, experiment and measurement. It is not yet a theorem definitively demonstrated. Explaining the difference to climate communists is likely to prove impossible. To them the Party Line, whatever it is, must be right even if it be wrong.

The group that dares to say it expects an imminent fall in global mean surface temperature does so with great courage, and in the Einsteinian spirit of describing at the outset a test by which its hypothesis may be verified.

Whether that group proves right or wrong, its approach is as consistent with the scientific method as the offering of childish bets is inconsistent with it. In science, all bets are off. As al-Haytham used to say, check and check and check again. He was not talking about checks in settlement of silly wagers.

In due course Professor Salby will publish in the reviewed literature his research on the time-integral of temperature as the driver of CO2 concentration change. So, too, I hope, will the groups working on the time-integral of total solar irradiance as the driver of temperature change.

In the meantime, I hope that those who predict a sharp, near-term fall in global temperature are wrong. Cold is a far bigger killer than warmth. Not that the climate communists of the mainstream media will ever tell you that.

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Nick Stokes
November 14, 2013 3:46 am

Gail Combs says: November 14, 2013 at 2:58 am
“This paper shows the volcanic CO2 gas guestimate is about as trustworthy as the Mann Hockey Stick.
Good grief, every time you scratch the surface you find more shoddy workmanship or outright lies.”

OK, so now it’s volcanoes. USGS gives output of land volcanoes at 0.13 Gton CO2/year. We emit about 40 Gton/yr. 300x! You’ve cited a site which merely says some submarine volcanoes have been discovered. They would need to be about 100 times as productive as land volcanoes to make a difference, and no evidence of that is offered.
But again, none of this fits with the history. Centuries (millenia) of flat CO2, and then a 40% increase starting in the nineteenth century. Why would volcanoes behave like that?

Greg Goodman
November 14, 2013 3:52 am

The whole process is a lie. The IPCC starts out by saying the climate a random stochastic process that can not be accurately modelled and predicted and then does chapter and verse on predicting how it will react to various “scenarios” over the next 100 years, based on models trained on 50 years of data. Conveniently forgetting they just said that it was impossible in order to protect themselves for accusation of professional misconduct when the truth becomes obvious to all.
That would be a dubious degree of extrapolation, even for a simple, well-defined linear system.
Those who question this shoddy façade of cargo-cult science get called denierz [to oblige the filter] but in reality those who are “denying science” are the IPCC and their activist scientist cronies.

November 14, 2013 3:53 am

“Centuries (millenia) of flat CO2, and then a 40% increase starting in the nineteenth century”
Defective / inadequate proxy sources for century / millennial scale atmospheric CO2 variations.
Occam’s Razor applies.
It is for you to prove that the proxy records are fit for purpose but it is increasingly obvious that they are not.

Gail Combs
November 14, 2013 4:02 am

Nick Stokes says:
November 14, 2013 at 2:55 am
….Well, the plot shows four different cores, from four different groups, each with the same flatness and rise….
>>>>>>>>>>>>>>>>>>>>>
The paper I linked to says:

“… The ice core data from various polar sites are not consistent with each other, and there is a discrepancy between data and geological climatic evidence(12) One such example is the discrepancy between the classic Antarctic Byrd and Vostok ice cores, where an important decrease in the CO2 content in the air bubbles occurred at the same depth of about 500 meters, but at which the ice age differed by about 16,000 years. In an approximately 14,000-year-old part of the Byrd core, a drop in the CO2 concentration of 50ppmv was observed, but in similarly old ice from the Vostok core, an increase of 60ppmv was found. In about ~6,000-year-old ice from Camp Century, Greenland, the CO2 concentration in air bubbles was 420ppmv, but it was 270 ppmv in similar old ice from Byrd, Antarctica.
H. Oeschger, et al. made an ad hoc attempt to explain some of these discrepancies as (1)”a process which has not yet been identified,” (2) wrong modeling, and (3) “not overlapping time intervals” but these explained nothing. (13)==> H.Oeschger, et al, 1988. Ann. Glaciol., Vol 10, p. 215.

So at that time discrepancies were noted including values as high as 420ppmv AND a paper was written in 1988 to try and sweep the problem under the rug.
………………………………….
Nick Stokes says: November 14, 2013 at 2:55 am
If you’re going to insist that scientists just lie to suit their “agenda”, then there’s not much point in discussing science, is there?
>>>>>>>>>>>>>>>>>>>>>
There a very good reasons to discuss this.
The first is to try and determine the truth as best we can.
The second is to expose the lies to sunlight.
Last is to expose and stop the agenda that is propagating the lies.
The last is the most important because the lies and the agenda are killing people. In the UK it is about ~65 people a day in the winter. The agenda is also resulting in a massive wealth transfer. According to the IMF ” In the United States the share of the top 1 percent has close to tripled…”
The ultimate goal of course is power aka (Global Governance)

Nick Stokes
November 14, 2013 4:07 am

stephen wilde says: November 14, 2013 at 3:53 am
“Defective / inadequate proxy sources…”

Nonsense. They re not proxies. They are actual analysis of air samples.
The plot I showed was from the British Antarctic Survey. Same deal. If such sources can’t be cited, then there just isn’t any point in discussing science. You will be talking to to yourself.

Nick Stokes
November 14, 2013 4:23 am

Gail Combs says: November 14, 2013 at 4:02 am
“The paper I linked to says:”

The paper you linked to is not a scientific journal paper. It is a 1997 rant from Jaworowski.
But it’s the same deal. If you reject inconvenient scientific facts as just lies from people with an agenda, then you are talking to yourself. No scientific discussion is possible.

David A
November 14, 2013 4:31 am

Nick Stokes says:
November 14, 2013 at 4:23 am
Gail Combs says: November 14, 2013 at 4:02 am
“The paper I linked to says:”
====================================
The paper you linked to is not a scientific journal paper. It is a 1997 rant from Jaworowski.
—————————————————————–
I read Gail’s quote. There was NOTHING rant like about, and it referenced other papers as well. If Nick Stokes is going to engage in pure adhom. attacks, then scientific discussion is impossible.

Nick Stokes
November 14, 2013 4:41 am

David A says: November 14, 2013 at 4:31 am
“I read Gail’s quote. There was NOTHING rant like about, and it referenced other papers as well. If Nick Stokes is going to engage in pure adhom. attacks…”

The “paper” begins:
“From its very beginning, the hypothesis on anthropogenic greenhouse warming was tainted with a biased selection of data, ad hoc assumptions that were not verified experimentally, and one-sided interpretations. Such symptoms of affliction, which Irving Langmuir called “pathological science,”1
are evident in the publications of G.S. Callendar, who truly can be regarded as the father of the modern “man-made climatic warming” hypothesis.”

That’s not a scientific paper. It’s a rant. And saying so is in no way ad hom. It’s a description of the writing.

Greg Goodman
November 14, 2013 5:21 am

So providing ” a description of the writing” obviates the necessity to address the facts presented about the discrepancies in the ice cores?

November 14, 2013 5:23 am

Nick Stokes says:
November 14, 2013 at 4:41 am
David A says: November 14, 2013 at 4:31 am
“I read Gail’s quote. There was NOTHING rant like about, and it referenced other papers as well. If Nick Stokes is going to engage in pure adhom. attacks…”
The “paper” begins:
“From its very beginning, the hypothesis on anthropogenic greenhouse warming was tainted with a biased selection of data, ad hoc assumptions that were not verified experimentally, and one-sided interpretations. Such symptoms of affliction, which Irving Langmuir called “pathological science,”1
are evident in the publications of G.S. Callendar, who truly can be regarded as the father of the modern “man-made climatic warming” hypothesis.”
That’s not a scientific paper. It’s a rant.

Change that last word to “fact based opinion” and we have an accord.

November 14, 2013 5:31 am

Bart says:
November 13, 2013 at 4:00 pm`
Just for the record, if you have to integrate the short term variability in the temperature, you also have to integrate the long term trend, and this accounts for essentially all of the curvature in CO2.
As I said: different processes at work, including different responses to temperature changes, see my previous reaction to Greg.
– the mid-latitudes are highly responsive to temperature changes both oceans and vegetation, but don’t contribute at all to the increase in the atmosphere, they both are small sinks.
– the tropic oceans are the main natural source of CO2 into the atmosphere, but show a small response to temperature changes.
– the polar areas are the main natural sinks of CO2 from the atmosphere, but show a small response to temperature changes.
For the upwelling we can start with your equation:
CO2(atmosphere) = (K0 + K1*t) * (A + B*t)
where K1 gets 1 K higher in temperature over time, giving a linear increase in outgassing of around 5% for the (A + B*t) term, thus giving a linear basic term and a non-linear increase term. It may be clear that in that case B is the main term that is responsible for the increase of CO2 and T only provides the necessary curvatory (0-5% over time) for a 7-fold increase (~40 to ~290 GtC/year) in CO2 releases from the oceans.
For the mid-latudes (and partly tropical land), the seasonal and interannual variations are around 5 ppmv/K for 50 and 60 GtC in countercurrent for resp. ocean surface and the biosphere (over the seasons, smaller flux changes interannual). The biosphere is a net sink for CO2 as are the mid-latitude oceans. A small change in temperature gives relative huge and fast responses in CO2 of the atmosphere.
Integrating the fast responses gives you the long term effect of temperature on CO2 levels in the fast reservoirs, but that result is in fact negative, not positive and so doesn’t tell you anything about the cause of the increase in the atmosphere…
It also shows that the factor needed to align the slopes of T and dCO2/dt depends of the curvatory of B by T, thus on B ánd T, while the amplitude of the dCO2/dt variability only depends of the variability of T. Which explains why the amplitude of the variability of dCO2/dt is less than the observed variability if one exactly matches the slopes (in fact no matter the origin of the increase in CO2)…
Conclusion: you have to separate the equations (and the integrals) for fast en slow responses…

Gail Combs
November 14, 2013 5:44 am

Nick Stokes says: November 14, 2013 at 3:46 am
OK, so now it’s volcanoes. USGS gives output of land volcanoes at 0.13 Gton CO2/year. We emit about 40 Gton/yr. 300x! You’ve cited a site which merely says some submarine volcanoes have been discovered. They would need to be about 100 times as productive as land volcanoes to make a difference, and no evidence of that is offered.
>>>>>>>>>>>>>>>>>>
You are missing the entire point, which is that if you claim “Mass Balance” then you’d better consider the entire enchilada and not pick only part of the cycle, the CO2 subcycle. In your last post you seem to say that because you claim CO2 is flat for a millennium, you can ignore geologic and chemical processes.
It appears that you are conflating the conservation of the earth’s total mass of carbon atoms (ignoring meteorites and nuclear decay) with a constant amount of CO2. CO2 is only one of the molecules in the carbon cycle. When the number of CO2 molecules decreases as its carbon becomes coal, limestone or calcite, you no longer have “Mass Balance” When the number of molecules of CO2 increases because a volcano belched, you no longer have “Mass Balance.”
…….
“…says some submarine volcanoes have been discovered.”
Good grief, Nick it is not ‘Some”
First, remember the oceans cover 70% of the earth’s surface and we really know nothing much about the oceans especially at depth.

…The true extent to which the ocean bed is dotted with volcanoes has been revealed by researchers who have counted 201,055 underwater cones. This is over 10 times more than have been found before.
The team estimates that in total there could be about 3 million submarine volcanoes, 39,000 of which rise more than 1000 metres over the sea bed.
“The distribution of underwater volcanoes tells us something about what is happening in the centre of the Earth,” says John Hillier of the University of Cambridge in the UK. That is because they give information about the flows of hot rock in the mantle beneath. “But the problem is that we cannot see through the water to count them,” he says.
Satellites can detect volcanoes that are more than 1500 m high because the mass of the submerged mountains causes gravity to pull the water in around them. This creates domes on the ocean’s surface that can be several metres high and can be detected from space.
Data overload
But there is a multitude of small volcanoes that have gone undetected. The only way of identifying them is to manually find their outline on sonar measurements taken from ships….
http://www.newscientist.com/article/dn12218-thousand-of-new-volcanoes-revealed-beneath-the-waves.html#.UoS_QLA1iUY

Remember the Mid-Atlantic Ridge that runs through the seismically active Iceland? Map
Remember the Pacific Trench? link
Those are just a couple of areas that could are leaking CO2 and scientists don’t have an inkling of how much. You, yourself have indicated that the figures for volcanic outgassing is based only on land-based volcanoes.
They are even now finding active volcanoes under the Arctic and Antarctic seas.
http://news.nationalgeographic.com/news/2008/06/080626-arctic-volcano.html
http://www.livescience.com/15006-underwater-volcanoes-discovered-antarctica.html
Also just because a volcano is not actively producing lava does not mean it is not leaking CO2: LAKE NYOS (1986)
In other words the ‘Official’ amount of CO2 emitted by volcanoes is just another wild-ass guess made without sufficient evidence.
NOTE: 195 governments including the USA committed by treaty to produce this anti-CO2 science when they signed The United Nations Framework Convention on Climate Change

..The ultimate objective of the Convention is to stabilize greenhouse gas …
Industrialized nations agree under the Convention to support climate change …

November 14, 2013 5:47 am

Greg Goodman says:
November 14, 2013 at 2:22 am
is the same as all emissions being absorbed and the increase in atm CO2 being regarded as out-gassing. The two are totally equivalent descriptions of the same thing, and not contradictory.
I do deposit some 100 euro’s per month to my savings account at the local bank. That is 1200 euro’s a year on my account. The bank publishes its year report which shows a turnover of 36000 euro’s that year and a net gain of 600 euro’s.
According to you, all my deposits were used for loans for some other clients and the net yield from the bank is caused by other clients.
According to me, I will get my money back as soon as possible and will look for another bank to put my money on…

Nick Stokes
November 14, 2013 5:47 am

Greg Goodman says: November 14, 2013 at 5:21 am
“So providing ” a description of the writing” obviates the necessity to address the facts presented about the discrepancies in the ice cores?”

It casts some doubt on whether they are facts. But in any case, the plot I showed shows no such discrepancy in the last thousand years – the agreement is remarkable. And the quote from J only claims discrepancies much further back in time.

November 14, 2013 6:01 am

Gail Combs says:
November 14, 2013 at 2:23 am
Gail, please let the late Jaworowski rest in peace, together with his ideas about ice cores. All of his objections were already refuted in 1996 by the drilling of 3 cores at Law Dome by Etheridge e.a.:
http://onlinelibrary.wiley.com/doi/10.1029/95JD03410/abstract
unfortunately still behind a paywall, but some figures and a lot of comment are at my page:
http://www.ferdinand-engelbeen.be/klimaat/jaworowski.html
If you can tell me how CO2 can migrate from 180-300 ppmv inside the ice cores bubbles to 380-400 ppmv in outside air, I may start to believe what Jawarowski said. The same for exchanging the average gas age for the column of the age of the ice in Neftel’s data: the average gas age is a lot younger than the ice at the same depth…

Nick Stokes
November 14, 2013 6:15 am

Gail Combs says: November 14, 2013 at 5:44 am
“Those are just a couple of areas that could are leaking CO2 and scientists don’t have an inkling of how much.”

Well, you can always postulate an unknown source. But we do know land-based volcanoes produce far too little to explain the rise.
But OK, suppose unknown undersea volcanoes are responsible for the 5Gt or so C appearing in the atmosphere each year. Then what happened to the 10 Gt/yr C that we burn? Where did it go?
And why did they suddenly start? They can’t have been adding 5 Gt/yr for millennia. There’s only 780 Gt altogether there.

November 14, 2013 6:36 am

Stephen Wilde says:
November 13, 2013 at 10:54 am
Phil. says:
November 13, 2013 at 9:42 am
Well Phil you lost on the other thread because I took on board the points you made that were correct and then pointed out to you that if the Gas Laws could not include a term for the thermal effect of radiative gases then the only effect they could have without breaching the gas laws would be to increase atmospheric volume and height.
What I did there was try to see whether the Gas Laws could accommodate radiative characteristics and you successfully showed me that they could not which actually suited me just fine.
You tried to deny that with a silly comment that made someone other than me doubt your sincerity.

This ‘loss’ was only in your imagination, the ‘silly comment’ you refer to was my addressing this point by you:
“PV = mRspecificE should apply instead of the normal formulation PV = m RspecificT which applies for a parcel of gas within an atmosphere”
I pointed out that this equation could not possibly apply because the units aren’t correct, basically
Joules=Joules^2/K
You ignored this and your third party thought that I wasn’t sincere!
You also said:
Stephen Wilde says:
October 29, 2013 at 3:06 pm
But then, in so far as radiative emission to space is insufficient, it would rise converting KE to PE for a cooling effect.
A molecule too low in the atmospheric column for its energy content radiates too much to the surface.
A molecule too high in the atmospheric column for its energy content radiates too much to space.
A molecule at exactly the correct height for its energy content does neither for a zero net effect.

You didn’t get the point I’d made earlier that the radiative emission of CO2 depends on its rotational and vibrational energy not its translational KE. You also said that a molecule rises to a level appropriate to its KE, I pointed out that this didn’t happen.
” A molecule near the surface travels about 70nm before it collides with another molecule, your concept of a molecule travelling up in the atmosphere until it reaches the level appropriate to its KE just doesn’t happen. KE is rapidly exchanged with the neighboring molecules, probably all distributed in a mm.”
Apparently another ‘silly comment’.
You also said: “I admit to not being a scientist which is why I value and accept the opinion of my betters in that discipline.”
The evidence of your posts indicates that you don’t do so!

rgbatduke
November 14, 2013 6:42 am

I’m particularly interested to hear more from rgb as to how he managed to think that a rising molecule can retain its heat whist cooling during the course of rising against gravity. It retains its energy but not its heat.
Wow, a really simple one. Get on an airplane. Carry with you a thermos flask containing one of those little button USB recording thermometers — they aren’t too expensive — and some air from your house. Take off and fly anywhere you like. When you land, plot the temperature of the gas in the thermos.
As you flew, the plane rose some 10 km. In fact, it rose to the height of the stratosphere, as that’s where jets generally fly. The potential energy (per molecule) of all the molecules of gas in your (adiabatic) flask have all increased by mgH. Yet strangely, the temperature in your flask reads dead constant for the entire flight! How in in the world does that work?
Because if you write out the first law of thermodynamics, the energy in the flask changed according to:
\Delta U = \Delta Q + W
where \Delta U = \Delta K + \Delta U is the total internal energy (kinetic plus potential) of the molecules in the flask, \Delta Q = 0 is the heat exchanged between the molecules and the surrounding environment (which is zero because the gas is in an adiabatic insulated thermos flask) and W is the work done on the system by external forces. Since the flask is adiabatic, if we assume a monoatomic gas:
\Delta U = 3/2 Nk\Delta T + NmgH = NmgH = W
or
\Delta T = 0
The next mental example (or go ahead, by all means do the experiments) is a bit more challenging. Suppose you have the gas, but now it is in an insulated cylinder with an insulated piston. You fill your flask with air down on the ground as before (still containing your well-equilibrated recording thermometer) so that the pressure inside and outside are equal and the piston does not move. You place the entire cylinder in a large vacuum chamber and slowly lower the pressure. The gas inside the piston expands (doing positive work on its environment, which is negative work on the flask) but it still is adiabatic. The first law now reads:
\Delta U = 3/2 Nk\Delta T = - W
\Delta T is clearly negative — it did work, its potential energy did not change, the work energy had to come from somewhere, it couldn’t come from infiltrating heat, so the average internal kinetic energy of the gas molecules has to decrease, cooling the gas by removing some of its energy to the environment by means other than heat transfer. Precisely the same process works in reverse — it is why air in the bicycle pump cylinder heats up as you compress it. It is ancient technology:
http://en.wikipedia.org/wiki/Fire_piston
(the adiabatic fire starter).
As Joel pointed out, buoyant forces do work on a parcel of rising gas. The work they do is fundamentally no different from the work the flask does lifting the gas inside to the stratosphere, and globally is precisely balanced by some denser gas falling to replace it, so no net energy leaves the system as all of this goes on (which is the problem I’m discussing with Nick Stokes). In other words, if there is no radiation at all from the atmosphere \Delta Q is always zero for the atmosphere as a whole everywhere but at the surface, which means that you can move energy around internally, sure, but once the gas gains it, it is going to retain it for a very long time because it can only lose it at the surface.
Rising gas heated by the surface will still cool as it rises, but not because it gains gravitational PE — that gain is brought about by the work done by the buoyant force — but because the pressure decreases as it rises so it cools (approximately adiabatically) as the gas parcel expands into its lower pressure surroundings. This article:
http://en.wikipedia.org/wiki/Adiabatic_process#Adiabatic_heating_and_cooling
will, if you take the time to work through it with any intro physics book in the known universe that contains a thermo section (my own doesn’t, yet, as I haven’t had time to finish writing it) walk you through how this works. Finally, you absolutely need to retrieve this:
http://people.su.se/~rcaba/teaching/PhysMetLectNotes.pdf
Rodrigo Caballero’s Meteorlogical Physics lecture notes. Indeed, this book will walk you through the needed thermo too. Chapter 2 is what you need to learn.
Note well that I’ve answered your question, precisely and with empirical tests you can easily perform, in the very best of faith. You could also note that inside your well-insulated house, heat rises and accumulates at the ceiling, the air getting cooler as you descend to the floor UNTIL the whole system equilibrates via conduction (again, my issue with Nick — if you have a heat source on one patch of the floor and a cold sink on another patch on the floor across the house, you’re still going to end up with mostly stratified air with a negative lapse rate because the air cannot lose heat at the ceiling and the hottest, least dense air is quite stable there).
I’m just tell you what lots of others here have told you. I teach physics every day. In ten minutes I’m going to get up and go teach a class of 220 very bright students for three hours straight. I’ve written (and am still writing) physics textbooks at the introductory level and the graduate level. I’ve studied physics for 40 years. I’m a theoretical physicist and am roughly masters-to-Ph.D. competent in mathematics, statistics, and computer science as well. I am not stupid, in other words, nor am I ignorant. Finally, I have absolutely no dog in this race outside of genuine interest in figuring out how it all works. You have no doubt seen me arguing with Nick Stokes and Joel Shore as often as not — I respect both of them but they have to convince me the hard way when they make an assertion the same as anybody else. Sometimes they succeed. I cannot possibly be called a “warmist” (well, I can, on PSI:-).
Bear that in mind before you respond. Either you address the equations themselves, and point out someplace that I make an actual error in the use of the accepted, proven equations of physics, or you acknowledge that you are probably wrong. You might consider doing the latter simply because you have pretty obviously never taken any course in physics beyond something very, very elementary. You can ask yourself, “Is physics so easy that a completely ignorant person can just pick two or three equations they don’t understand out of it all and manipulate them to get right answers, or does it require a deep conceptual understanding of things like statistical mechanics, equilibrium, and thermodynamics that I’ve never had the opportunity to acquire?”
Your response will, in other words, determine your level of honesty. If you are suffering from a narcissistic personality disorder tinged with grandiosity, you will puff up and assert that you’re right, I’m wrong, and not actually address the first law of thermodynamics or the actual derivation of the observed DALR, and you’ll continue to make absurd assertions such as the one that molecules sort themselves out by weight and temperature in a well-mixed atmosphere. That is simply empirically untrue, as you’d learn if you looked. If you too are a fellow pilgrim, less interested in self-aggrandizement as the discoverer of the REAL climate theory of your own invention than you are in learning how the climate system really works and what can and can’t be believed about it, you will retire to learn some physics before trying to reinvent it wrong.
rgb

Anomalatys
Reply to  rgbatduke
November 14, 2013 7:26 am

“Carry with you a thermos flask”
The atmosphere isn’t trapped in a thermos flask going on a plane ride. Trapping it in a thermos flask doesn’t allow kinetic energy and potential energy to be exchanged like it does in the free open atmosphere. U = mgh + mCpT and so dT/dh = -g/Cp. This is confirmed by observation. It is too simple and fundamental equation to not be correct or meaningful. Also, then factoring in latent heat release from water vapour to that equation, you directly get the wet lapse rate. Then, direct simulations of an ideal gas (modelling the actual particle collisions with basic Newtonian physics…ideal gases are simple statistical ensembles and so 1000 particles in a box give the same behaviour as Avogadro’s Number in a box) show that a lapse rate naturally arises too. Maybe a paper should be published on this since it seems so controversial.

Trick
November 14, 2013 6:53 am

Stephen Wilde 1:38am: “Joel and Trick keep trying to obscure the simplicity of the logic with calls for obfuscating equations.”
Equations are clear Stephen, start working toward a complete theory of climate using them sparingly; not misleading the public means hard work is required for you to drive thru your belief nature behaves as a narrative from your eyesight observations.
There is more total energy to conserve than just KE+PE. This is a blog not a text book, better to spend your time digging into the modern atm. text books. I recommend Dr. Bohren for you because he disdains differentials prefers narratives but is forced to use the math for clarity which you lack and therefore Stephen misses important gas thermo. physics and misleads.
I will give Stephen a hint for further study & as usual I am sure he will ignore it and continue misleading posts rather than be interested in digging into the clarity/truth of the math. This statement of yours misses important gas enthalpy:
“To comply with conservation of energy any kinetic energy previously used to work against gravity by raising mass off the ground is then returned as kinetic energy when mass falls with gravity.”
No, this is incomplete. To comply with conservation of energy there is another term to deal with as the atm. lifts off the surface. Sure, internal energy of a parcel KE+PE is important, but you miss (as I have repeatedly pointed out) the external P*V term – as the atm. lifts off there is now external work done to/from the gas parcel that Stephen completely & repeatedly leaves out; this term gives the total gas enthalpy which is the workhorse of gas thermo. Gas enthalpy H=(PE+KE) + p*V.
Stephen: “There is however a change in atmospheric volume…”
Then Stephen has to deal with change in gas total enthalpy terms (dp*V) + (p*dV) calculus which he completely misses. Stephen – this is why authors discuss constant pressure (dp*V) = 0 and constant volume processes (p*dV) = 0.
******
Stephen’s incomplete narrative means: “..the radiative theory implies” if there were no GHGS the atmosphere would collapse and freeze to the surface.
Stephen is here misleading the public again. Logically applied radiative transfer theory implies no such thing. Read Dr. Bohren’s text books on the subject & do the work (I warn it is hard, means time and cash consuming), start moving toward a modern complete theory of climate Stephen.
******
Stephen: “For the past 30 years every educational establishment has perpetuated the initial error.”
I observe baseball umpires and basketball/football referees miss every call I have ever seen. Thankfully modern video replay is starting to correct their errors; Stephen should advance as spectator sports advance by using modern text books same as video replays.
When I examine the atm. thermo. video replay in text books, I find Stephen Wilde has missed calls on much gas thermo. and logical radiative transfer theory learned from modern experiment.

November 14, 2013 7:20 am

Sorry the formatting was messed up.
Phil. says:
November 14, 2013 at 6:36 am
Stephen Wilde says:
November 13, 2013 at 10:54 am
Phil. says:
November 13, 2013 at 9:42 am
Well Phil you lost on the other thread because I took on board the points you made that were correct and then pointed out to you that if the Gas Laws could not include a term for the thermal effect of radiative gases then the only effect they could have without breaching the gas laws would be to increase atmospheric volume and height.
What I did there was try to see whether the Gas Laws could accommodate radiative characteristics and you successfully showed me that they could not which actually suited me just fine.
You tried to deny that with a silly comment that made someone other than me doubt your sincerity.

This ‘loss’ was only in your imagination, the ‘silly comment’ you refer to was my addressing this point by you:
“PV = mRspecificE should apply instead of the normal formulation PV = m RspecificT which applies for a parcel of gas within an atmosphere”
I pointed out that this equation could not possibly apply because the units aren’t correct, basically
Joules=Joules^2/K
You ignored this and your third party thought that I wasn’t sincere!
You also said:
Stephen Wilde says:
October 29, 2013 at 3:06 pm
But then, in so far as radiative emission to space is insufficient, it would rise converting KE to PE for a cooling effect.
A molecule too low in the atmospheric column for its energy content radiates too much to the surface.
A molecule too high in the atmospheric column for its energy content radiates too much to space.
A molecule at exactly the correct height for its energy content does neither for a zero net effect.

You didn’t get the point I’d made earlier that the radiative emission of CO2 depends on its rotational and vibrational energy not its translational KE. You also said that a molecule rises to a level appropriate to its KE, I pointed out that this didn’t happen.
” A molecule near the surface travels about 70nm before it collides with another molecule, your concept of a molecule travelling up in the atmosphere until it reaches the level appropriate to its KE just doesn’t happen. KE is rapidly exchanged with the neighboring molecules, probably all distributed in a mm.”
Apparently another ‘silly comment’.
You also said: “I admit to not being a scientist which is why I value and accept the opinion of my betters in that discipline.”
The evidence of your posts indicates that you don’t do so!

Greg Goodman
November 14, 2013 7:28 am

Ferdi: “I do deposit some 100 euro’s per month to my savings account….”
Enough with the cookie-jar analogies, if you have some point to make about CO2 provide the maths.

joeldshore
November 14, 2013 7:38 am

Anomalatys says:

The curious thing about the lapse rate is that it is precisely calculated by the parameters relating just to thermal energy and gravitational energy. That’s for the dry value. This approach doesn’t even depend on adiabatic processes. That can’t be coincidence.

To do a correct calculation, you do indeed have to take into account adiabatic processes. That’s why it is called the “adiabatic lapse rate”…and gravitational acceleration enters into it because of the hydrostatic condition (basically accounting for that fact that the pressure at any point in the atmosphere is due to the weight of the atmosphere above it). And, that is why any textbook that derives it does so in this way.
It may be a curiosity that you can get almost the right result by considering gravitational potential energy and neglecting buoyancy or adiabatic expansion of the gas. (I say “almost” because, as I recall, it involves mixing up specific heat at constant volume and specific heat at constant pressure.) However, that doesn’t make it right.

One very simple, brute-force but robust approach is to directly simulate an ideal gas in a gravitational field. Papers have been written on this in the past, back when computer power was the big thing to test out. It has been shown various places that simple Newtonian collision mechanics with a large number of particles will replicate the thermodynamic behaviour of an ideal gas. The gravitational field you can apply in this situation is just scalar, rather than central-force, and then all the particle trajectories can be calculated to machine precision. So anyway, I ran a such a program and tracked the kinetic energy, which is directly proportional to temperature, for particles at the very bottom of the gas column and those near the top. The distribution of particles at the bottom of the column was a rough Maxwellian peaking at “4″, while that for the higher altitude particles was another rough Maxwellian peaking at “2.4″. Those are just arbitrary values, but they track velocity squared which directly tracks energy which directly tracks temperature.

I agree that you should be able to simulate it…but you have to be very careful about things as what ensemble you are in. I am not sure exactly what you have done wrong, but your result contradicts the results of papers that have done the statistical mechanical calculation analytically, rigorously, and with careful attention to issues like the correct ensemble:
http://scitation.aip.org/content/aapt/journal/ajp/53/3/10.1119/1.14138
http://iopscience.iop.org/0143-0807/17/1/008
It also contradicts the laws of thermodynamics, since such a temperature difference in equilibrium would allow you to set up a way to harness this temperature difference.

Anomalatys
Reply to  joeldshore
November 14, 2013 9:29 am

“To do a correct calculation, you do indeed have to take into account adiabatic processes. That’s why it is called the “adiabatic lapse rate”…and gravitational acceleration enters into it because of the hydrostatic condition (basically accounting for that fact that the pressure at any point in the atmosphere is due to the weight of the atmosphere above it). And, that is why any textbook that derives it does so in this way.”
Right, and so g/Cp gives the correct value for dry air, and also works for wet air.
“a temperature difference in equilibrium would allow you to set up a way to harness this temperature difference.”
Well there IS a temperature difference with altitude that constantly exists. All planets have this. Maybe we should think of a way to harness it.

Anomalatys
November 14, 2013 7:41 am

That being said, I don’t actually entirely agree with Stephen’s mechanics. Sorry Stephen. If the atmosphere has low emissivity (it does) and it naturally has a lapse rate (any atmosphere does, following the same equation as discussed incidentally), then the bottom of the atmosphere will naturally be warmer than the blackbody equivalent temperature of the average radiant output. The average of a sequential distribution is found around the middle. In the atmosphere, warmer is at the bottom, average near the middle, coolest at the top. Direct simulation (of a much smaller number of particles, but still reproducing ideal gas behaviour) shows this result as well. The radiative greenhouse effect isn’t even found in a real greenhouse. That’s significant. CO2 is just plant food.

joeldshore
November 14, 2013 7:47 am

Anomalatys says:

Maybe a paper should be published on this since it seems so controversial.

As I noted, the papers have been published, and they show that you are wrong…and that the laws of thermodynamics are correct.
There is no ambiguity about whether or not there is a lapse rate in equilibrium in a gravitational field: there is not.
I personally am more agnostic in regards to the arguments between people like rgb and Roy Spencer on one side and Nick Stokes on the other in regards to what the temperature distribution would be in the absence of any radiatively-active elements in the atmosphere (but not in equilibrium because the Earth is still receiving energy from the sun).
Finally, this whole discussion makes little difference to the ultimate question of whether one can somehow have the surface temperature on Earth in the absence of a radiative-active atmosphere. The answer is that it is not possible without either violating the First Law of Thermodynamics (i.e., conservation of energy) or making up new laws of physics (such as Stephen Wilde does by positing that the Earth’s surface doesn’t emit as much radiation as the laws of physics [and empirical measurements, by the way] say it actually emits).

Anomalatys
Reply to  joeldshore
November 14, 2013 9:25 am

“the papers have been published, and they show that you are wrong”
Well g/Cp isn’t wrong…it is experimentally and theoretically confirmed via various derivations. It’s real, and it means the bottom will be warmer than the average. Nothing to do with radiative heating going backwards up the gradient.

November 14, 2013 7:52 am

henry@anomalatys
you are so right (last comment), never mind the physics and maths;
it seems to me there are only a few of us who really understood the principles correctly and who asked for the balance sheet of the re-radiation by each gas
i.e. how much is back radiated to space (0-5 um, 12 h/day) and how much is back radiated to earth (24/7)
of which there are no actual results……

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