Diving into the Deeps of Decarbonization

[UPDATE: Comment from Anthony: There has been a tremendous amount of discussion and dissent on this topic, far more than I ever would have imagined. On one hand some people have said in comments that Willis has completely botched this essay, and the Kaya identity holds true, others are in agreement saying that the way the equation is written, the terms cancel and we end up with CO2=CO2. It would seem that the cancellation of terms is the sort of thing that would rate an “F” in a simple algebra test. But, I think there’s room for both views to be right. It seems true that *technically* the terms cancel, but I think the relationship, while maybe not properly technically equated, holds as well. Here is another recent essay that starts with Willis’ premise, where CO2=CO2 and expounds from there. See: What is Kaya’s equation?

Further update (modified 3AM 7/12/14): Willis has posted his response in comments, and due to my own travels, I have not been able to post it into the body of the message until several hours later, see it below. – Anthony]

Guest Post by Willis Eschenbach

pathways to deep decarbonizationAnother day, another new piece of mad garbage put out by the UN. It’s called “pathways to deep decarbonization”, all in lower case (8 Mb PDF). Their proposal is to get CO2 emissions down to zero.  I didn’t get far into it before I cracked up laughing and lost the plot.

It starts with the following definition:

Deep decarbonization requires a very significant transformation of energy systems. The ultimate objective of this transformation is to phase out fossil fuel combustion with uncontrolled CO2 emissions. Only fossil fuels in conjunction with CCS [carbon capture and storage] would remain.

But that wasn’t the funny part. That was just depressing. The funny part came later.

Now, out here in the real world the most charitable way to describe this lunacy of forcing the nations of the world to give up fossil fuels is to … to … well, now that I think about it, there is no way to describe this as anything but a pathetic joke which if implemented will cause untold economic disruption, disaster, and death.

In any case, in order to figure out how to “phase out fossil fuel combustion”, they go on to describe what they call the “principal drivers” of CO2 emissions, viz:

The simplest way to describe the deep decarbonization of energy systems is by the principal drivers of energy-related CO2 emissions—for convenience, since the focus of this chapter is on energy systems, we simply refer to them as CO2 emissions. CO2 emissions can be expressed as the product of four inputs: population, GDP [gross domestic production] per capita, energy use per unit of GDP, and CO2 emissions per unit of energy:

CO2_{emissions} = Population * \frac{GDP}{Population} * \frac{Energy}{GDP} * \frac{CO2_{emissions}}{Energy}

That was where I lost it …

Now, at first glance that looks kind of reasonable. I mean, emissions must go up with population and with GDP per capita, and go down with energy efficiency.

Here’s why I laughed. Lets apply the usual rules of math to that equation. We know that if a variable occurs both on the top and bottom of a fraction, we can cancel it out. Starting from the left, Population on the top cancels Population on the bottom. Then GDP on the top cancels GDP on the bottom. Then Energy on the top cancels Energy on the bottom … and we’re left with …

CO2_{emissions} = CO2_{emissions}

Pretty profound, huh? CO2 emissions are equal to CO2 emissions. Who knew?

OK, now let’s build their equation back up again. But instead of using gross domestic production (GDP), we’ll use gross beer production (GBP) instead.

CO2_{emissions} = Population * \frac{GBP}{Population} * \frac{Energy}{GBP} * \frac{CO2_{emissions}}{Energy}

Note that this is identical to and equally as valid as their whiz-bang equation, in that it simplifies down to the same thing: CO2 emissions = CO2 emissions.

And as a result, the clear conclusion from my analysis is that the best way to fight the evil menace of CO2 is to figure out a way to make beer using less energy …

Now, there’s a carbon reduction program I could get behind.

Best wishes to all,

w.

The Usual Request: If you disagree with someone, please quote the exact words you disagree with. This prevents misunderstandings, and lets us all understand your objection.

PS—Due to a cancelled flight, I’m stuck here in a hotel in LA on my way back from the Ninth International Climate Change Conference, which I’ll write about another time, and sitting in my hotel room wishing I were home. Not much to do but read boring UN documents … at least this one was funny.

PPS—Although it’s not mentioned in the document, their goofy equation is known as the “Kaya Identity“. Apparently, the number of innumerate people on the planet is larger than I had feared.

==============================================================

Willis Eschenbach says:

Well, yesterday was a long day. Up early to get to the airport, and this time the flight actually flew. Go deal with the rental car. Roll on home.

Then change clothes, I’d spent the night without luggage. Hang out with the gorgeous ex-fiancee and catch up. Put in a load of wash. Put the trash in the trash bin, the recyclables in their bin, the kitchen scraps in the garden waste bin. Roll all three of them up the driveway to the street. Unpack. Pack. Wash the dishes. Make coffee. Scrub the toilet.

Then when I got around to opening up my computer in the afternoon, after waking up from its normal sleep and running for about 15 minutes … it died. Dead. As in when I turned it on, It ran for about 5 seconds, and croaked …

So … that meant another 45 minute drive to the “local” Apple store. It also meant about an hour’s worth of waiting for an appointment. Then another three hours while they worked on the machine before finally getting It to run again. Net result?

It’s now 10 PM, and I’m back where I was last night … on line again. Oh, and a couple hundred bucks lighter.

Anyhow, that was how my day went. I hope Bart had more fun than I did.

Regarding the comments, I’m overjoyed that there is much discussion of the issue. My point, albeit poorly expressed given some of the comments, was that since the Beer Identity Is equally as true and valid as the Kaya Identity, it is obvious that we cannot use the Kaya Identity to “prove” anything.

So yes, the Kaya Identity is true, but trivially so. We cannot depend on it to represent the real world, and it can’t show us anything.

For example, folks upstream said that we can use the Kaya Identity to show what happens if the GDP per capita goes up by say 10%. According to the Kaya Identity, emissions will also go up by 10%.

But according to the Beer Identity, if Gross Beer Production per capita goes up by 10%, then CO2 emissions have to go up by 10% … and we know that’s not true. So clearly, neither identity can serve to establish or demonstrate anything about the real world.

What I tried to say, apparently unsuccessfully, is that by itself, the Kaya Identity cannot demonstrate or show or prove anything about the real world. If there is anythlng true about it, that truth must exist outside of the Kaya Identity. Otherwise the Beer Identity would be a valuable guide to CO2 emissions … but we know that’s not true.

Finally, l hear rumblings that Anthony shouldn’t have published this piece of mine. This totally misunderstands Anthony’s position in the game. The strength of WattsUpWithThat is not that it is always right or that it publishes only the best stuff guaranteed to be true.

The beauty and value of WUWT that it is the world’s premier location for public peer review of climate science. On a personal level, WUWT is of immense use to me, because my work either gets falsified or not very quickly … or else, as in this case, there’s an interesting ongoing debate. For me, being shown to be wrong is more valuable than being shown to be right. If someone can point out my mistakes, it saves me endless time following a blind alley.

And indeed, there is much value in the public defenestration of some hapless piece of bad science. It is as important to know not only which ideas are wrong but exactly why they are wrong. When Anthony publishes scientific claims from the edges, generally they are quickly either confirmed or falsified. This is hugely educational for scientists of all kinds, to know how to counter some of the incorrect arguments, as well as giving room for those unusual ideas which tomorrow will be mainstream ideas.

So it is not Anthony’s job to determine whether or not the work of the guest authors will stand the harsh light of public exposure. That’s the job of the peer reviewers, who are you and I and everyone making defensible scientific comments. Even if Anthony had a week to analyze and dissect each piece, there’s no way that one man’s wisdom can substitute for that of the free marketplace of ideas … which is why it’s not his job. Bear in mind that even with peer review, something like two-thirds of peer reviewed science is falsified within a year. And Anthony is making judgements publish/don’t publish on dozens of papers every week.

So please, dear friends, cut Anthony some slack. He’s just providing the arena wherein in 2014 we practice the blood sport of science, the same sport we’ve had for a few hundred years now, ripping the other guys ideas to bits, also known as trying to scientifically falsify another person’s claims that you think don’t hold water. It is where we can get a good reading on whether the ideas will stand up to detailed hostile examination.

It is not Anthony’s job to decide if mine or any other ideas and expositions and claims will wtthstand that test … and indeed, it is often of value for him to publish things that will not stand the test of time, so that we can understand exactly where they are lacking.

So please remember, Anthony is just providing the boxing ring. It is not his job to predict in advance who is going to win the fight. His job is to fill the cards with interesting bouts … and if this post is any example, he is doing it very well.

Best to everyone,

w.

===============================================================

And a final update from Anthony:

While Willis wants to cut me some slack, and I thank him for that, I’m ultimately responsible for all the content on this website, whether I write it or not. While some people would like nothing more than to have content they deem “wrong” removed, such things generally present a catch-22, and cause more problems than they solve. Of course some people would be pleased to have WUWT disappear altogether. Some days, I’m one of them, because it would allow me to get my life back.

The value is being wrong is learning from it. If you don’t learn from it, then being wrong deserves every condemnation thrown at you. I plan on being wrong again, maybe as soon as today, though one never knows exactly when your training and experience will lead you down the wrong path. In this case I was wrong in thinking that this simple terms cancellation argument pretty much made the Kaya identity useless. I’m still unsure how useful it is, or whether its usefulness is mainly scientific or political, but rest assured I now know more than I ever thought I would know about it, and so do many of you. And there’s the value.

I thought this was relevant, and worth sharing:

“For a scientist, this is a good way to live and die, maybe the ideal way for any of us – excitedly finding we were wrong and excitedly waiting for tomorrow to come so we can start over.”  ― Norman Maclean

Thanks for your consideration – Anthony Watts

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Hucky77
July 10, 2014 12:41 pm

The warmists at the UN (seemingly that’s the whole crowd) is hung up on CO2. Hence the interest in keeping our attention focused on CO2 emissions as with the Kaya identity. Reality is that CO2 plays a minor role in “global warming”. All of the 114 models for temperature apparently use CO2 as the primary driving force; all fail with predictions greater than reality. CO2 has increased during the last 18 years; temperature has not. Is it not time to skip lightly over the amount of CO2 emitted and focus our attention elsewhere?
Did you see the new article in the WSJ about model building?

July 10, 2014 12:51 pm

Regardless of what this ‘formula’ is supposed to be used for, what it is actually intended to do, is impart some sort of mathematical/scientific authority to any debate around ‘carbon’ emissions. In my former profession this was politely refered to as ‘Blinding the idiots with science’ and impolitely refered to as using B*llsh*t to baffle Brains. I’m afraid I see it as a con-artists tool and nothing more.

MattS
July 10, 2014 12:51 pm

4 eyes says:
July 9, 2014 at 10:44 pm
I do think the UN’s target is laughable. Maybe in 300 years or so zero CO2 emissions will be achievable butI still don’t understand why they want zero CO2 emissions.
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
It’s more laughable than you think. Life emits CO2 (even plants during the night)
The only way to achieve zero CO2 emissions is to sterilize the planet. I would not be surprised if this was the intent.

Harold
July 10, 2014 12:53 pm

There are algebraic identities, these tell us how to reduce algebraic expressions.
Then there are trigonometric identities which are not mere algebraic identities, these are useful to know to reduce expressions involving trigonometric functions.
Then there is the Kaya identity which is a mere algebraic identity, a straightfoward one too, it is only useful to people who can’t do very basic algebra by themselves.

Pete Brown
July 10, 2014 12:56 pm

richardscourtney says:
July 10, 2014 at 12:02 pm
“I disagree with the equation because it is bollocks! ”

Ah. I see. Thanks. I wasn’t quite sure if that was your point from your previous remarks. Now I know. Good of you to take the time to elaborate. Good then. Great.
Now that we’re bollocks out, so to speak, please tell me which of these things you think you think has no impact on CO2 emissions, on an all other thing being equal basis:
1. increasing population?
2. increasing GDP per capita?
3. increasing energy intensity of the economy?
4. increasing carbon intensity of energy?
I asked you before but you bollocksed it.
Actually hang on. In your view, does burning carbon-based fuels cause CO2 to be released? Are we okay with that? I ask so that I know how far back we have to go here.
Bearing in mind I am sceptical of the CAGW thesis, you are doing an awfully good job of making the other guy’s case…

Daniel G.
July 10, 2014 12:57 pm

Let’s put it this way. The Kaya Identity seems to be a method to calculate total CO2 emissions.

Not really.

Daniel G.
July 10, 2014 12:58 pm

If M&Ms per packet is treated as a seperate variable then it does have meaning.

Exactly. GDP per capita is separate value, so is energy intensity of the economy, and so is co2 intensity of energy.

Daniel G.
July 10, 2014 1:00 pm

Here is the equation for M&Ms:
M = C * B/C * P/B * M/P
Each of the ratios is meaningful variable. You don’t plug P or B directly. You plug the ratios.

July 10, 2014 1:01 pm

The fact is that in order to calculate “CO2 emissions” you have to have a number (CO2 emissions / energy) that requires you to *already know* the “CO2 emissions” number.
You know how many MW your power plant produces, and you know how much coal you burn. From the latter, you can calculate how much carbon dioxide you produce.
So, no.

Pete Brown
July 10, 2014 1:03 pm

richardscourtney says:
July 10, 2014 at 12:02 pm
“Substitute bullsh*t for Energy and the equation still works only it now indicates that CO2 emissions are affected by bullsh*t but not Energy.”
I’m not sure that we can substitute Bullsh*t for energy, but if YOU could, seriously you’d be onto something…

Joseph Murphy
July 10, 2014 1:08 pm

Daniel G. says:
July 10, 2014 at 1:00 pm
Here is the equation for M&Ms:
M = C * B/C * P/B * M/P
Each of the ratios is meaningful variable. You don’t plug P or B directly. You plug the ratios.
——
That is fine but then it is written incorrectly. M=C*X*Y*Z (There are many ways to write it so it has meaning). The misconception is that the former equation is stating the same thing, it is not. One equation is demonstrating a relationship, the other is not.

Chucky77
July 10, 2014 1:10 pm

Treating each of the factors as a separate variable and varying the numerical value of one factor to see it’s effect of CO2 emissions assumes those factors are independent of one another. That’s called a static model. In reality changing the value of a factor will likely cause the value of another factor to change; a dynamic model. So it’s really difficult to attribute the change in CO2 emissions to one single isolated factor. Yes, people do that, but without realizing the assumption they are relying on. Those factors in the equation are surely correlated with each other. This is one reason simple-minded models often fail to predict actual outcomes. Viz., increase GDP per capita and energy intensity is likely to change with it.

July 10, 2014 1:12 pm

@Daniel G – Your comments/arguments are tautological. You claim the equation is tautological and then claim it is “accurate.” You claim that if you change one of the parameters (ratios) that the effect on TOTAL CO2 emissions will be shown, yet, the math does not support that and then in a latter comment YOU agree the equation is TAUTOLOGICAL..

Nancy C
July 10, 2014 1:19 pm

If any frustrated commenters ever check back here, I just want to say, I appreciate your persistence, and thanks to everything everyone’s said, I think that I, for one, understand what this kaya identity is a little better.
So it’s true that algebraically the two CO2 numbers should have to be the same, but in a way they’re not, because what’s actually important in the functionality of the thing is the ratios. So when you use the identity to calculate something practical, the actual left and right CO2 numbers will probably be different (but so will the 2 “Energy” numbers and probably the 2 “GDP” and “Population” numbers).
Somebody brought up an analogy to mph, which I think was very helpful.
So let’s say time = distance / (distance/time) where time= 3 hours and distance = 360 miles.
3 hours = 360 miles / (360 miles/3 hours) is pretty useless.
On the other hand, since speedometers read in mph, 3 hours = 360 miles / (60 miles / 1 hr) is pretty useful, and totally valid, even though the 2 variables I labelled “time” aren’t the same number anymore.
Same with the kaya thing; you can calculate total CO2 from total CO2 (and total energy and the other stuff which all divide out) or you can calculate total CO2 from the CO2 output per unit energy (and total energy and the other stuff). The first of those is pointless, but the second one might have value if you know how much CO2 is made when you burn a lump of coal.
Anyway, I’m just posting this additional comment to let people like JK, Dr Doug, etc, know you weren’t completely spinning your wheels. I appreciate your forcing me to think about it and see the point.

July 10, 2014 1:28 pm

Gerard Harbison says: July 10, 2014 at 1:01 pm
“You know how many MW your power plant produces, and you know how much coal you burn. From the latter, you can calculate how much carbon dioxide you produce.”
You also need to know the CO2 level produced at EVERY power level, startup ramp, shutdown ramp, testing, construction, efficiency decreases due to carrying VAR (Volts-Amps-Reactive) created due to wind/solar generated power perturbations and load transfers, and a thousand other thing. And then you need to know ALL of them for EVERY source of Energy generation to get the TOTAL CO2 emissions related to energy generation AND usage. Even wind, Solar, Hydro, are NOT CO2 neutral or ZERO producers of CO2. E.g. Hydro causes the CO2 level to increase due to the fact that the vegetation covered by water no longer adsorbs CO2. They claim burning wood is CO2 neutral, yet, If I take the would burnt at a wood burning power plant, spread the hips on my garden, the Carbon will be there 30 – 40 years from now. Enough time to replace the trees with new trees adsorbing many time the amount of Carbon that was burnt. The AGW science is political B/S.

west2
July 10, 2014 1:29 pm

tttt says:
July 10, 2014 at 7:16 am
On the right side you have Co2 emissions per produced unit of energy. If you really think that cannot be used to calculate total CO2 emissions then so be it.
Miles driven = Gallons * Miles / gallon. Can this be used or not?

‘Miles driven’ and ‘Miles’ are not the same. In this example, ‘Miles/gallon’ is independent of ‘Miles driven’, so this can be used. Which, I think, is what you have said.
A problem occurs when written in a similar way to the Kaya identity:
Miles driven = Gallons * Miles driven / gallon.
Now ‘Miles driven’ (lhs) is of course the same as ‘Miles driven’ (rhs). This form can not be used since you would need to know the answer first, ‘Miles driven’.
As presented above the Kaya Identity has a similar problem:
CO2(emissions) = (a*b*c) * CO2(emissions)/Energy
However this might work:
CO2(Total emissions) = (a*b*c) * CO2(emissions)/Energy

Frodo
July 10, 2014 1:31 pm

“Bob Weber says”
Wow, that was a tad harsh. Completely agree that population reduction is and always has been the main goal for at least the last 50 years, but I don’t believe that we in the developed, “modern” countries have much to fear at all. As I stated in an earlier topic, it’s the 3rd world that is targeted for population reduction– those poor suffering people always get the worst of it. We, OTOH are destined for a Brave New World where soma is available free of charge under Obamacare and everyone is completely self-actualized, and there are never any problems.

Michael 2
July 10, 2014 1:33 pm

Daniel G. says: “No one is trying to discover co2 emissions”
The left side of the equation is “Global CO2 Emissions”. The left side of any equation is the thing to be found (the unknown), and the right side is the known. Hopefully I don’t have to persuade you of that convention.
http://en.wikipedia.org/wiki/Kaya_identity
The right side PROVIDES “Global CO2 Emissions” as part of the calculation to determine that very thing! Impossible! What value would you actually enter for that parameter? You don’t know!
But you are in good company. This author (link below) STARTS with “CO2 = CO2” and derives the Kaya Identify from it inserting self-canceling terms along the way. He explains how important it is for these terms to cancel as if that creates meaning.
http://www.manicore.com/anglais/documentation_a/greenhouse/kaya_equation.html
“But what would happen if for the generation of single unit of energy emitted 2x the Co2.
What would happen with energy-related co2 emissions? It would double too.
That is what the Kaya’s identity says.”
No. Where exactly is “unit of CO2 per unit of energy” defined in this equation?
It isn’t. CO2 efficiency is not part of this equation. Perhaps it was MEANT to be, but it isn’t.
UPDATE: It appears from reading the text that CO2 efficiency was indeed meant to be part of the equation, but lacking a mathematician, they just blurted out the identity hoping nobody would notice.
“It states that total emission level can be expressed as the product of four inputs: population, GDP per capita, energy use per unit of GDP, carbon emissions per unit of energy consumed.”
http://en.wikipedia.org/wiki/Kaya_identity
So, yes, the intention was good but the math amazingly BAD. The equation does NOT capture this intention.

JJ
July 10, 2014 1:38 pm

Joseph Murphy says:
.
D=(D/T)*T is meaningless unless velocity is treated as an independant variable.

No, that is equation is not meaningless. It is an identity. The meaning of that identity is what allows you to treat velocity as an independent variable.
Similarly, permitting the consideration of the primary drivers of CO2 as independent variables is the function of elaborating the identity CO2 = CO2.
See here:
http://www.manicore.com/anglais/documentation_a/greenhouse/kaya_equation.html
Ignore his politics if they do not comport with your own, he gets the algebra right regardless.

That is fine but then it is written incorrectly. M=C*X*Y*Z (There are many ways to write it so it has meaning).

It is not written incorrectly. It is written explicitly. M = C*X*Y*Z = C * B/C * P/B * M/P, where
X = B/C
Y = P/B
Z = M/P
It is silly to say that M = C * B/C * P/B * M/P is meaningless, but that M = C*X*Y*Z has meaning, when the X, the Y and the Z in the latter are given their meanings by the former.

Michael J. Dunn
July 10, 2014 1:44 pm

This sort of discussion is depressing, because the scientific illiteracy of many otherwise bright correspondents comes to view (sorry, Willis). Did anyone catch the fact (for example) that momentum is defined to be (mass x velocity)? They are the same thing. But if you have access only to mass and velocity data, you will need the equation to find what the momentum is. From analysis of the momentum versus time, you can find out what the forces must have been. And so on, courtesy of Isaac Newton.
The whole subject falls under the heading of dimensional analysis: the dimensions of one side of an equation must equal the dimensions of the other side. Mostly, we need equations to infer the output answer (left hand side) from input quantities (right hand side). Sometimes, we have perfectly valid quantities that have no dimensions, like Mach number (= flight velocity / sound velocity = dimensionless), yet are valid (and extremely useful) for determining actual physical relationships (e.g., stagnation-to-static temperature ratio, or pressure ratio, or density ratio). When you are dealing with supersonic flight, it turns out that the Mach number is a more useful property than flight velocity, because it enables us to construct a concise physical theory of aerodynamics.
Does anyone seriously doubt that the “Kaya (?) Identity” is an objectively valid way to estimate human CO2 production from the referenced statistics? We can only ever estimate something like that, because there is no literal way to measure it.
Just remember, when the traffic cop gives you a speeding ticket based on his radar gun reading, he is using an equation that has the same dimensionality on each side. Complain to the Judge and see how far that gets you.

Daniel G.
July 10, 2014 1:46 pm

So, yes, the intention was good but the math amazingly BAD. The equation does NOT capture this intention.

It is just that you never bothered to read the entire paper.

Charles Hart
July 10, 2014 1:46 pm

@west2
“However this might work:
CO2(Total emissions) = (a*b*c) * CO2(emissions)/Energy”
this makes sense too me.
this post is a “mountain out of a molehill”?

DanMet'al
July 10, 2014 1:47 pm

Yeah you”re right, richardscourtney is truly onto something and I agree he’s onto whatever stokes his fire. . . . err Bullsh*t. Too bad he doesn’t know anything!!
Increasingly I find this site is frequented by the likes of Scourthneys . . . no-nothing-charlatans !
Dan

sinewave
July 10, 2014 1:49 pm

This identity only works in modern times with our current civilization. You have to have GDP, Energy and Population or it falls apart, either because you will have zeroes in denominators or at the very least you will get zero on the right side which has never been the value of CO2. Given that, do we have a similar identity that describes CO2 a few million years ago when Population, GDP and Energy were all zero but CO2 was still positive? Other than just CO2=CO2? You may say that’s pointless given the purpose of the identity currently, but if I were using the Kaya identity I would certainly like to know if there is anything from nature that should be added to GPD, Population, and Energy to make it more sound.

RH
July 10, 2014 1:51 pm

Bottom line is that the equation, as presented by the OP, is laughable. Population, GDP, and Energy all cancel out and leave the ridiculously useless solution CO2 = CO2. I, for one, am not going to parse the intent of the creator of the equation. Sometimes it’s just fun picking on the opposition.

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