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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Mark Bofill
July 10, 2014 6:19 am

tttt,

The point of the equation, be it political or not, is to show how an example of different factors for CO2 emissions and discuss the effect of these factors and how they could be reduced.

But that’s just it. It’s an illusion. You think population, GDP and energy are factor in that expression, but they is not. The factor is (population / population) or 1. Same with the other terms. And there is nothing expressed by it. You can vary any of the terms as you like and it doesn’t have any effect on the result. Whatever you plug in for CO2 emissions is the value you get for CO2 emissions (unless you zero the equation out by zeroing one of the a/a terms, which makes the whole thing invalid anyway since you’re also dividing by zero).

Mark Bofill
July 10, 2014 6:20 am

they is not.
Nice.
What I meant to say is, ‘they is not bein’ factors in that ‘spression homey.’

SanityP
July 10, 2014 6:21 am

Every single correct equation boiles down to “a = a”, that’s why they’re called “equations.
I used to think that you Willis knew what you were doing … now I’m actually in doubt.

ferdberple
July 10, 2014 6:22 am

It is not difficult to write identities like this. But that does not invalidate the original equation.
==========
correct. the equation is mathematically valid. what it demonstrates is that X=X, which is consistent with the meaning of “=”.
What the identity does not tell us is anything meaningful or useful about CO2. It is hocus pocus. Sleight of hand. A mathematical piece of nonsense intended to fool us into thinking it is telling us something profound, while telling us zip, nada, diddly squat.

ferdberple
July 10, 2014 6:23 am

Every single correct equation boiles down to “a = a”
=======
wrong.

July 10, 2014 6:25 am

Reblogged this on Centinel2012 and commented:
Their true colors come out! This logic came out of the UN agenda 21 initiative passed in Rio-de-Janeiro in 1992 which when one reads, along with all the rest of the ‘propaganda,’ one sees that the REAL purpose behind all of this is a major reduction in population. What is really meant by ‘sustainable’ is a world with less than one billion people powered by solar and wind which is the maxim that they think those forms of generating energy will support. Their population estimated are probably off as its more like a lot less than one billion.

ferdberple
July 10, 2014 6:27 am

e=mc2
v= at
d=1/2at2
a2+b2=c2
these equations are useful, because they are not of the form a=a.

tttt
July 10, 2014 6:28 am

Mark,
you said: “You think population, GDP and energy are factor in that expression, but they is not.”
Indeed they all are not. Factors are population, GDP produced by that population, energy intensity of GDP and energy intensity of carbon. This is also the way it is explained in the original source. You can increase or decrease any of these factors without changing the others.

SanityP
July 10, 2014 6:29 am


Explain why or when an equation, is not an equation.

July 10, 2014 6:30 am

They call it the Kaya Identity. Wondering who this Kaya is, I looked her up. In the Urban Dictionary, found her!
“Kaya. a term used to describe someone who is both amazingly beautiful and wonderfully talented, also with a personality fit for an angel.”
Now we know how these do-gooders see themselves. Not really news, though.

earwig42
July 10, 2014 6:36 am

UN now using Common Core math. Their algorithms are working as designed.

ColA
July 10, 2014 6:36 am

Wills,
I see above you have dismissed 4eyes and failed to acknowledged others who have correctly told you that you are wrong – the Kaya Identity is correctly expressed. Did you even bother to check out Roger Pielke Jr.’s analysis with the Kaya Identity? It appears NOT.
Basic maths says one side must ultimately equal the other or don’t you understand the basic laws of maths, physics, chemistry etc??
6 = 3 x 2
F = m x a
E = mC^2
“That was where I lost it …” lost what? your aim? Shot from the hip again …. right through the foot!
Do you have the balls to admit your wrong? any self respecting scientist would!

tttt
July 10, 2014 6:37 am

ferdberdle,
Quoting you:
“What the identity does not tell us is anything meaningful or useful about CO2. It is hocus pocus. Sleight of hand. A mathematical piece of nonsense intended to fool us into thinking it is telling us something profound, while telling us zip, nada, diddly squat.”
The identity in question is in no means a great mathematical discovery, nor profound in any way.
What it says is: if you know how much CO2 is emitted when producing unit of energy, and you know how many units of energy are produced per unit of GDP, and you know the total produced GDP you get total CO2 emissions. What part of this is wrong?

ferdberple
July 10, 2014 6:38 am

a=a
a=b*a/b
a=c*b/c*a/b
a=d*d/c*b/c*a/b
the above equations shows the derivation of the general form of the Kaya Identity. The Kaya Identity tells us ABSOLUTELY NOTHING about the relationship between a,b,c,d. If it did, we would be able to reduce the equation so that “a” is on the left and all the other terms are on the right. Something like this:
a = Xb+Yc+Zd (for demonstration purposes only)
However, no matter what you do, you cannot reduce the Kaya identify to put CO2 by itself on the left hand side of the equation. Which means the Kaya Identity has no solution in terms of CO2. Which means the Kaya Identity tells us nothing about CO2.

Mark Bofill
July 10, 2014 6:41 am

tttt,
Yeah, and without changing the resulting CO2 emissions as well.
If you get that, then why dress the discussion up with a farcical equation? Why not simply say “Let’s talk about GDP, population, energy, and their relationship with CO2 emissions?”
IMO, that backfires. Whatever point someone is trying to make is lost in the wake of the astonishment people like me feel when presented with a tautology that looks at a glance like it’s supposed to convey something more than the fact that 1 * X = X.

July 10, 2014 6:44 am

IMO the zero proposal makes as much sense as any other religious doctrine relating to demanded penance for imaginary sins….ala self-flagellation…I mean really….what’s next? “Father forgive me for I have farted?” As a longtime Monty Python fan I’m truly looking forward to decades of mocking this whole affair, since history has shown time, and time again, that dogmatic extremism eventually leads to extremists being portrayed as the immoral idiots they are…imagine a TV series about rich eco-fascists and their wild and crazy ideas to save the planet, while each episode reveals how their day-to-day evangelistic hypocrisies results in unintended and sometimes fatal consequences for others less fortunate than themselves…you could run it with a laugh track as a sit-com, or without the laugh track as a horror docu-drama.

Rodney
July 10, 2014 6:46 am

I agree that the Kaya is mathematically worthless as it can be used to prove anything. That is why I think you all need to replace the Kaya equation with my much more useful equation: Name it after me and call it the Rodney equation if you like. It goes as follows:
CO2 = BSP * (AGW / BSP) * (BSS / AGW) * (CO2/ BSS)
where
CO2 = Annual global CO2 production in metric tonnes.
BSP = Australia’s annual brussel sprout production in metric tonnes.
AGW = Al Gore’s weight in pounds.
BSS = Number of Britney Spears signals that have charted in the top 100 in Sweden.
So clearly Britney needs to stop singing, Al needs to lose a few pounds and you’ve now got a good reason not to eat your greens. How hard can that be? See controlling the climate is easy.

ferdberple
July 10, 2014 6:47 am

What it says is: … What part of this is wrong?
=========
your understanding of what it says is wrong. This is quite simple to demonstrate. Build an equation of the form:
CO2 = X
That does not have CO2 included in X. In that case, X will tell you something about CO2. But if you cannot eliminate CO2 from X, then X tells you nothing about CO2.
So, in terms of your statement, this is the term that you need to reduce;
“if you know how much CO2 is emitted when producing unit of energy,”
You need to remove CO2 from this term and move it over to the left hand side of the equal sign, so that you can solve for CO2. But when you do this, the left hand side will be reduced to 1, which means you cannot solve for CO2, which means the identity tells you nothing about CO2.

tttt
July 10, 2014 6:49 am

Mark,
You said: “Yeah, and without changing the resulting CO2 emissions as well.”
No, the CO2 emissions would naturally change.
To be fair to the authors of the original text, the equation is expressed a bit differently and also explained in the text which makes its purpose totally clear.

steveta_uk
July 10, 2014 6:50 am

tttt – i’m now confused as to who is being thick here.
Assuming that the expression follows rules of algebra, it makes no sense whatsoever to say “you can increase or decrease any of these factors without changing the others.”
You cannot. If you increase population, you decrease GDP produced by that population. The reduction is precisely in proporton to the increase, so there is no overall effect whatsoever.
Anyone over 13 years of age who has done any trivial algebra can see this.
So clearly the only possible conclusion is that this is not an algebraic expression. An anyone who thinks it is has simply the wrong mind set to understand the soft sciences.
C = P * (G/P) * (E/G) * (C/E) == C = (P/P) * (G/G) * (E/E) * C == C = 1 * 1 * 1 * C == C=C
Q.E.D.

donaldosaurus
July 10, 2014 6:51 am

This post (and accompanying comments) would make a good case study on the Dunning Kruger effect.
Identities (like sin/cos=tan) are *meant* to reduce to 1=1. The point of it isn’t to prove or derive anything, it’s to be used as a tool in other calculations. This just decomposes the single variable of CO2 emissions into other variables, which can in principle be altered.

Mark Bofill
July 10, 2014 6:53 am

tttt,

What it says is: if you know how much CO2 is emitted when producing unit of energy, and you know how many units of energy are produced per unit of GDP, and you know the total produced GDP you get total CO2 emissions. What part of this is wrong?

I don’t know tttt. What part of this is wrong?:
if you know how many bananas per hookers in Vegas, and how many hookers in Vegas per 1952 quarters in circulation, and 1952 quarters in circulation per Vegas hooker, what do you really know?
You know that 1 * X = X. That’s all that tells you.

A Different James
July 10, 2014 6:53 am

There’s still confusion apparently, so let’s do a simple example to clear things up. Let’s suppose that you are managing a warehouse, and want to get a rough idea of how many trucks you will need on a given day. You sit down and, while watching the warehouse, you realize the following steps happen:
1. Items are put in boxes
2. Boxes are put on pallets
3. Pallets are loaded on trucks
Being a good manager, you know how many of those things fit into each other, on average. What you have is the following relationship (purely dimensional):
Trucks = Trucks / Pallets * Pallets / Boxes * Boxes / Items * Items
This obviously reduces to: Trucks = Trucks. That’s the point. Now, let’s say you had the following average amounts for those values (given variable letters):
a = 10 pallets per truck
b = 5 boxes per pallet
c = 4 items per box
d = number of items
e = number of trucks
Now we can write the equation:
e = 1/a * 1/b * 1/c * d
Notice how the units are the exact same, but now we have numbers associated with them.
Using that relationship, you can estimate that if you have 100 items to ship in a day, that you’ll need just a half a truck. What the equation lets you do is estimate what will happen if you need to ship more or less items, if the box size changes, if the truck size changes, etc.
The Identity in question is doing the same thing. It’s a simplified relationship between carbon emitted per unit energy times an estimate of energy used (derived from population and GDP). It’s no more complicated than relating miles traveled to your fuel efficiency to get fuel used.

DanMet'al
July 10, 2014 6:53 am

There appear to be two separate issues being argued in this comment thread:
(1) Some commenters believe that because the Kaya Identity can be reduced to the equation “Amount of CO2” = “Amount of CO2”, it has been falsified (unverified). From my view point, all identities share this property and if the two sides of an equation fail to have identical dimensions, that is a sign of a fatal problem. On this issue I side with Pete Brown’s comments on July 10, 2014 and later.
(2) The second objection(s) relate to George Box’s famous quote that “ all models are wrong; but some are useful. Clearly, the Kaya Identity is a simplistic “zero order model”; but apparently, Roger Pielke Jr. has found it useful for certain analyzes, I believe involving “what-if” analysis. And yet, given my own lack of exposure to Prof. Pielke’s work, it seems reasonable that more knowledgable people might find the application of the Kaya Identify to be problematic and subject to political chicanery. In others they find the model to have no practical value or utility.
So my conclusion is that while the Kaya Identity may be criticized as a non-useful or even an easily abused model, the identity itself can not be falsified on mathematical grounds based on Pete Brown’s arguments (relative to factoring) which I believe to be rational.
Thanks
Dan

Oscar Bajner
July 10, 2014 6:54 am

OK I’ll play this game. Using the Kaya identity, we can cut CO2 emissions by setting Population = 0.
=========
Mind you, all those decaying corpses will push methane emissions through the roof!
Wait, there’s an identity for that!

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