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

0 0 votes
Article Rating

Discover more from Watts Up With That?

Subscribe to get the latest posts sent to your email.

682 Comments
Inline Feedbacks
View all comments
hunter
July 10, 2014 6:55 am

Ironically, this puts Willis on the same side of n issue with a certain Rabett who posted this at Pielke Jr’s blog:
EliRabettSat Jun 14, 04:00:00 PM MDT
Applying the Kaya identity as a mantra is naive.
CO2 Emissions = Population (GNP/Pop) (Energy/GNP)(CO2/Energy)
since all it says is CO2 EM = CO2 EM.
The circular logic required of the Katya identity does, however, nicely sum up the underlying fundamental fail of CO2 obsession.

tttt
July 10, 2014 6:55 am

ferdberple,
You didn’t explain what part of my textual description was wrong, which is what I asked for.
Anyways, in the left side we have “total” CO2 emissions, on the right side we have how much CO2 is emitted per produced unit of energy.

ferdberple
July 10, 2014 6:55 am

Kaya Identity:
CO2 emissions = population * GDP/population * energy/GDP * CO2 emissions/energy
Berple Challenge: Solve for CO2 in terms of Population, Energy and GDP:
move CO2 over to left hand side:
CO2 emissions/CO2 emissions = population * GDP/population * energy/GDP * 1/energy
simplify:
CO2 emissions/CO2 emissions = 1

steveta_uk
July 10, 2014 6:57 am
David in Cal
July 10, 2014 6:59 am

IMHO that equation is not a joke. Of course it’s an identity: it would have to be in order to be correct. However, the point is to look at specific methods of cutting CO emissions. E.g., we could cut population, or we could cut CO2 emissions/energy, etc.

ferdberple
July 10, 2014 6:59 am

You didn’t explain what part of my textual description was wrong
=========
what was wrong is your understanding of what the equation is showing.
WHat I asked you to do was to use that Kaya Identity to produce an equation for the form
CO2 = F(population, GDP, energy)
Where F is any mathematically valid formula that does not include CO2. Give it a try and report back here with your results. Skip the words, give us a mathematical solution for CO2 and you will quickly discover the problem.

Mark Bofill
July 10, 2014 7:00 am

tttt says:
July 10, 2014 at 6:49 am

Mark,
You said: “Yeah, and without changing the resulting CO2 emissions as well.”
No, the CO2 emissions would naturally change.

The expression doesn’t capture that. See here.
You can put ANY value in you like for population, GDP, and energy, and the expression remains true. That’s why it’s a tautology
CO2 emissions = CO2 emissions
CO2 emissions = CO2 emissions * 1
CO2 emissions = CO2 emissions * (a*b*c / a*b*c)
CO2 emissions = (a*b*c / a*b*c) * CO2 emissions
CO2 emissions = a * (b/a) * (c/b) * CO2 emissions/c
The point is, a * (b/a) * (c/b) * 1/c = 1. It makes no difference what values you assign a b c. How you vary them. There is no impact on CO2 emissions, because a b and c are not factors. a*b*c / a*b*c is the factor, and that’s == 1.

ferdberple
July 10, 2014 7:01 am

the point is to look at specific methods of cutting CO emissions. E.g., we could cut population, or we could cut CO2 emissions/energy, etc.
=============
or we could cut Al Gore’s waistline and thereby reduce CO2, according to this equally valid equation:
CO2 emissions = Al Gore’s Waistline * GDP/Al Gore’s Waistline * energy/GDP * CO2 emissions/energy

Speed
July 10, 2014 7:11 am

Willis excellent mathematical reductio ad absurdum is clearly correct but some are having trouble accepting it. I suggest the following piecewise analysis …
CO2 Emissions = Population * (GDP/Population) reduces to CO2 Emissions = GDP
CO2 Emissions = GDP * (Energy/GDP) reduces to CO2 Emissions = Energy
CO2 Emissions = Energy * (CO2 Emissions/Energy) reduces to CO2 Emissions = CO2 Emissions

Daniel G.
July 10, 2014 7:14 am

@steveta_uk:
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.
Bullshit. If you increase population, GDP will also increase. Preserving GDP per capita or increasing it somewhat.

tttt
July 10, 2014 7:16 am

Al Gore’s waistline has nothing to do with GDP, right?
Direct quote from the original source (also in the original post by Willis): “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 per capita, energy use per unit of GDP, and CO2 emissions per unit of energy:
CO2 emissions = Population x (GDP/Population) x (Energy/GDP) x (CO2/Energy) ”
—–
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?

ferdberple
July 10, 2014 7:17 am

ps: in case anyone missed the joke:
CO2 emissions = Al Gore’s Waistline * GDP/Al Gore’s Waistline * energy/GDP * CO2 emissions/energy
it makes no difference what amount you use for Al Gore’s waistline (or world population)
CO2 emissions = 2 * GDP/2 * energy/GDP * CO2 emissions/energy
CO2 emissions = 3 * GDP/3 * energy/GDP * CO2 emissions/energy
CO2 emissions = 4 * GDP/4 * energy/GDP * CO2 emissions/energy
….
CO2 emissions = N * GDP/N * energy/GDP * CO2 emissions/energy
Notice, that no matter what amount we use for population (or Gore’s waistline), according to the Kaya Identity, CO2 emissions will remain unchanged!!
So, the ONLY conclusion that we can derive from the Kaya Identity with regard to CO2 and population, is that world population has NO EFFECT on CO2.

Daniel G.
July 10, 2014 7:21 am

You are thinking too much math if you think increasing population will reduce GDP per capita.
It doesn’t “cancel”.

GDP/Al Gore’s Waistline
Ok, if Al Gore’s Waistline increases, what happens to GDP?

ferdberple
July 10, 2014 7:22 am

Al Gore’s waistline has nothing to do with GDP, right?
=============
The term: “GDP/Al Gore’s Waistline” Is a measure of how much the world’s economy must expand to accommodate Gore’s expanding appetite. How much extra you and I must work to support Gore’s lifestyle.
You have failed to demonstrate a solution for CO2 = F(population, GDP, energy).
As can be seen from this equation:
CO2 emissions = N * GDP/N * energy/GDP * CO2 emissions/energy
The Kaya Identity tells us that no matter what amount you use for N (population), CO2 emissions are unchanged.

Check
July 10, 2014 7:23 am

The equation can be useful as a way to show how modifying anything on the right changes the answer on the left, which is mislabelled and should be something like DeltaCO2. The equation can show clearly what effects large scale changes can have on CO2 emissions. It can be shown, for instance, that a global pandemic killing say 80% of humanity would seriously reduce our CO2 emissions. It makes clear the stark reality of reducing CO2 emissions.

Pete Brown
July 10, 2014 7:27 am

Mark Bofill:
July 10, 2014 at 6:05 am
….
This is ridiculous.
The identity reduces to CO2 emissions = CO2 emissions precisely BECAUSE the terms on the right are a valid decomposition of the term on the left. The identity would be broken if it didn’t reduce to, well, identity!
Consider this:
30 = 5 x 3 x 2
Not a very exciting mathematical statement, certainly. Not at all informative from a mathematical perspective, UNLESS your question is: ‘what are the factors of 30?’ But fortunately in the case of the Kaya identity, that is PRECISELY what the question is.
Now consider this:
in the case of 30 = 5 x 3 x 2, what do you have to do to the value on the left if you change any of the values on the right? Try it with some examples…
It is precisely these simple truisms that Willis Eschenbach and others seem to find so ridiculous, and that is what I find embarrassing, I’m afraid.

Pete Brown
July 10, 2014 7:28 am

P.S. Mods – it can’t be both “noted” and “ignored”. Those are mutual exclusive concepts.

JohnB
July 10, 2014 7:28 am

Oh dear!
All this because Willis (and most commenters here) don’t understand the difference between an *equation* and an *identity*.
It is called the Kaya Identity, not the Kaya Equation. An identity is true for all values. You don’t *solve* an identity, it is always true. So what is the purpose of it? As has been noted above, the purpose is to show CO2 emissions as a product of meaningful terms: population, wealth per person, energy use and CO2 efficiency of energy production. It is *meant* to cancel out. That is what identities do!
http://en.wikipedia.org/wiki/Identity_%28mathematics%29

July 10, 2014 7:31 am

So the objective would be to make a world with the energy intensity of Congo (30.5 toe/M dollars); the per capita annual energy consumption of Afghanistan (3.78 GJ per capita) and the population of the Pitcairn Islands (56).
All numbers from Wikipedia.

Daniel G.
July 10, 2014 7:31 am

Increasing population does not decrease GDP per capita.
More people means more GDP.

The term: “GDP/Al Gore’s Waistline” Is a measure of how much the world’s economy must expand to accommodate Gore’s expanding appetite. How much extra you and I must work to support Gore’s lifestyle.
Indeed, if Gore eats too much, the economy has to grow, emitting more CO2. But if he goes on a diet or not, how does that impact the economy?

DanMet'al
July 10, 2014 7:33 am

Again I agree with Pete Brown. . . to those that attempt to invalidate the Kaya Identity based on mathematical grounds. . . your arguments are embarrassing! If you find the Identity to be overly simplistic (e.g., missing important factors, non-linearities etc.) fine. . . otherwise . . .
Dan

JohnB
July 10, 2014 7:38 am

ferdberple says:
July 10, 2014 at 7:22 am
As can be seen from this equation:
CO2 emissions = N * GDP/N * energy/GDP * CO2 emissions/energy
The Kaya Identity tells us that no matter what amount you use for N (population), CO2 emissions are unchanged.
——————–
No! It tells you that if population changes, but GDP, energy use per GDP, and CO2 emissions per energy unit stay the same, CO2 emissions will be unchanged.Reasonable, but an unlikely scenario.

Daniel G.
July 10, 2014 7:40 am

@JohnB:
GDP per capita, not GDP.

Mark Bofill
July 10, 2014 7:46 am

Pete Brown says:
July 10, 2014 at 7:27 am

This is ridiculous.

I agree.

The identity reduces to CO2 emissions = CO2 emissions precisely BECAUSE the terms on the right are a valid decomposition of the term on the left. The identity would be broken if it didn’t reduce to, well, identity!

Yes.

Consider this:
30 = 5 x 3 x 2
Not a very exciting mathematical statement, certainly. Not at all informative from a mathematical perspective, UNLESS your question is: ‘what are the factors of 30?’ But fortunately in the case of the Kaya identity, that is PRECISELY what the question is.

No.
X = (a/a) * (b/b) * … * (n/n) * X
tells you nothing about the factors of X. The identity is a restatement of the tautology
X = 1 * X.
Mark Bofill:
July 10, 2014 at 6:05 am
….

Now consider this:
in the case of 30 = 5 x 3 x 2, what do you have to do to the value on the left if you change any of the values on the right? Try it with some examples…

As I have stated repeatedly, the identity is true for ALL values of CO2 emissions, population, GDP, and energy, excepting where values cause division by zero. That does not represent the identity.

It is precisely these simple truisms that Willis Eschenbach and others seem to find so ridiculous, and that is what I find embarrassing, I’m afraid.

It is ridiculous. Put it back in context.

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

Now think it through. By accepting the identity, we have assumed without evidence that this expression describes something in the real world, and we’ve assumed a specific relationship. Perhaps the relationship is with the square root of GDP in fact? Perhaps not population but (F(population)? Perhaps there are significant additional variables missing, or perhaps some of these variables are irrelevant?
That’s what makes it outrageous in my book. You can’t just plop down an expression that’s obviously true by virtue of being an identity and expect people to take it seriously merely because it is an identity. You’ve got to demonstrate why and how it describes something in the real world. Otherwise, you might as well be talking about the number of bananas imported, hookers in vegas, and the number of 1952 quarters in circulation. Merely because I can make an identity out of these variables doesn’t mean my identity has any useful application.

JohnB
July 10, 2014 7:46 am

@DanielG
Thanks for the comment, but I did mean GDP.
If population doubles and GDP *per capita* stays the same, CO2 emissions would double. CO2 emissions would stay the same if GDP per capita halved. i.e. *GDP* stayed the same.

1 5 6 7 8 9 28