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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682 Comments
george e. smith
July 10, 2014 7:46 am

Sound more like the kaka identity to me.
But this exercise leads me to a tragic mistake we have all been making in our math.
For eons, we have all said:
Garbage in = Garbage out.
Clearly that is incorrect; Garbage in = Garbage in !
But now we can understand why they keep doing it.
George

Joseph Murphy
July 10, 2014 7:49 am

concepts.
JohnB says:
July 10, 2014 at 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
—————————-
But the equation shows that CO2 is not a product of the other variables, it shows that CO2 is independant of the other variables.

Daniel G.
July 10, 2014 7:53 am

Mark Bofill writes:

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.

What happens to CO2 emissions in these scenarios (while keeping other variables constant):
1. increasing population? decreasing population?
2. increasing GDP per capita? decreasing GDP per capita?
3. increasing energy intensity of the economy? decreasing energy intensity of the economy?
4. increasing CO2 intensity of energy? decreasing CO2 intensity of energy?

July 10, 2014 7:54 am

An interesting article. Isn’t one of the limitations of the Kaya Equation that it only relates to carbon dioxide emmisioned used to produce energy ? For example wif e chop down trees and burn them, i.e. deforestation, then carbon dioxide is released into the atmosphere, but no one using this energy.
I am unclear how this “Carbon dioxide released into the air by burning” would be reflected in the carbon emissions per unit of energy consumed term .
The Science Geek

Al
July 10, 2014 7:58 am

A funny post indeed. There’s a difference between someone who can do math and someone who actually knows math.

Daniel G.
July 10, 2014 7:58 am

@Joseph Murphy
But the equation shows that CO2 is not a product of the other variables, it shows that CO2 is independant of the other variables.
It is an identity, and it doesn’t show anything. You have to use logic in order to work out results. One might think that increasing population won’t cause increasing CO2 emissions due to the identity. After all, GDP per capita will decrease proportionally. But that is not what happens in real life. When population increases, so does GDP. Therefore math cannot tell whether CO2 emissions will rise or not. If we assume some degree of linearity, GDP will increase proportionally to the population (production, consumption, imports, exports, and gov. spending). Thus GDP per capita is more or less independent of population. Rising population, rising CO2 emissions.

Earline
July 10, 2014 8:00 am

This kind of post gives those who question the ‘consensus’ a bad name and provides fuel for the argument that we don’t understand math. Willis, I’ve enjoyed many of your posts in the past, but this is embarrassing.

Pete Brown
July 10, 2014 8:03 am

JohnB
Yes!
Admittedly your way was quicker…

Joseph Murphy
July 10, 2014 8:04 am

Daniel G. says:
What happens to CO2 emissions in these scenarios (while keeping other variables constant):
1. increasing population? decreasing population?
2. increasing GDP per capita? decreasing GDP per capita?
3. increasing energy intensity of the economy? decreasing energy intensity of the economy?
4. increasing CO2 intensity of energy? decreasing CO2 intensity of energy?
———-
according to the identity, absolutely nothing. You need to use logic to see it.

Mark Bofill
July 10, 2014 8:07 am

Daniel,
If you think there is a relationship between the variables (and in fact I do), use empirical data to work out the relationship. Or use a theoretical relationship, that’s fine too. The tautology does not tell us anything about what the relationship is in reality.
How do I choose between these tautologies?
1) CO2 emissions = sqrt(GDP) * (population^2) / (sqrt(GDP) * energy/(population^2) * co2em / energy
2) CO2 emissions = (GDP^2) * sqrt(population) / (GDP^2) * energy/(sqrt(population) * co2em / energy
3) CO2 emissions = bannas * hookersinVegas / bananas * coinsInCirc/hookersInVegas * co2em / coinsinCirdc
I need to know which describes something in reality that I care about.
Maybe I’m being unreasonable. I think that
F = MA
tells me something useful about reality. I don’t think that
F = X * (Y/X) * (Z/Y) * (F/Z)
gives me any information about anything.

John West
July 10, 2014 8:09 am

TATS Identity
TATS = Trip Around The Sun (in Seconds)
TATS = Seconds/Year = Days/Year X Hours/Day X Minutes/Hour X Seconds/Minute
TATS = Seconds/Year = Seconds/Year
It works for any planet by just putting in the appropriate values.
Just because it reduces to X=X doesn’t make it invalid, on the contrary, it validates it. There’s a bunch that can be accomplished (like unit conversions) with just the concept of anything divided by itself equals one (X/X=1) which also means anything multiplied by one equals itself (X*1=X).

Rodney
July 10, 2014 8:10 am

“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.”-JohnB
But the point is the Kayla Identity is not “SHOWING” anything (any more than my Rodney equation I posted earlier does). The Kayla equation is merely stating what you assume (i.e. that you think there is a connection between C02 and population etc).
As it happens I for one do think C02 is linked to the terms in the Kayla equation. And that only makes it worse because unlike my Rodney equation which is easy to spot as nonsense albeit true nonsense because the Kayla equation contains connected terms it makes it look like it saying something more meaningful than it really is.
For example lets say I suspect that current (I), Voltage (V) and Resistance (R) are somehow related to each other. So taking my queue from the Kayla equation I write.
V = R * (I/R) * (V/I)
In this equation as it happens I correctly imply that there is a relation between V, I and R. But this equation (which is completely true) hides the fact that it gives no actual useful information about how V, I and R are related to each other. It does not tell me for example that V = IR. It is just a useless tautology stating that V=V and that I’m guessing it might have something to do with I and R (but I am not actually stating anything meaningful about how V relates to I and R if it does).
That all change once I right V = IR.

Tamara
July 10, 2014 8:11 am

Mark Bofill: “1 * X = X.”
Well, stated. I think a lot of people are missing the fact that Willis is not saying the Identity is mathematically incorrect, and he is not merely reducing the units. He is saying that The equation never transforms CO2 emissions. Why measure CO2 emissions for the right side of the equation, then put it through an equation that gives the original measured amount as the answer.
The ONLY thing you can do to reduce CO2 emissions is to reduce CO2 emissions. This is because the terms in the numerator are dependent on the terms in the denominator and vice versa.
If there are 2 people in the world, then Population = 2, and per capita GDP is GDP/2. Hence, you do not need to know the population of the world to calculation CO2 emissions.
ColA, none of your equations are identities. 2 x 3 transforms these two numbers into 6.
E = mc2 transforms a mass and an acceleration into energy.
This is an identity:
elephants = dogs * geese/dogs * mice/geese * elephants/mice
The elephants are not transformed by the equation.

July 10, 2014 8:12 am

You can reduce or raise the population. You can reduce or raise the GDP per capita. You can reduce or raise the energy intensiveness of GDP. You can reduce or raise the carbon intensiveness of energy. These are all independent quantities, susceptible to being changed by appropriate policy.
I can’t believe some of you are having difficulty with this.

July 10, 2014 8:13 am

E = mc2 transforms a mass and an acceleration into energy.
Nah.

Kasuha
July 10, 2014 8:14 am

I don’t think there’s anything to laugh to on that equation. It is reasonable decomposition of the CO2 production. You just reduced it backwards the way how it was originally created.
Of course that equation has little sense if you’re trying to reduce emissions to zero. Because the only way is just that – to reduce CO2 to zero. You don’t solve it e.g. by reducing population, GDP, or energy production to zero because that way you only get CO2 = CO2 * 0 / 0.
But on the other hand this equation does have a lot of sense when talking about CO2 emission reductions. And its factors can often be reasonably forecasted.
Unlike your Gross Beer Production factors.

Mark Bofill
July 10, 2014 8:14 am

Tamara,
Thank you! That’s what I’m trying to say. Merely because I can construct a tautology doesn’t automatically give my tautology any meaning. It may merely mislead the unwary into thinking a relationship exists where none necessarily does exist.

July 10, 2014 8:15 am

The ONLY thing you can do to reduce CO2 emissions is to reduce CO2 emissions.
Really? So (for the state of argument) shooting every living human wouldn’t reduce CO2 emissions?

Jurgen
July 10, 2014 8:16 am

splitting a variable or figure into factors may be useful
but when you have more choices here, say 12=1×12 or 2×6 or 3×4 or 3x2x2 etc the choice you do make depends on the purpose you have for factoring, say constructing a fancy scale for a clock or whatever
co2 production can be split in many many factors, the ones you choose depend on your intended use
now the factoring in the Kaya identity clearly has a political reasoning behind it, so first and foremost is a political tool
to present your political aims in a mathematical formula gives it the appearance of inevitability – the mathematics is right isn’t it? – as right as 1=1
but in the real world maybe not so right, because of the selective political choices made
for me a political wolf dressed up as a mathematical sheep
also there is an immense difference in the mathematical simplicity of the identity, suggesting it is a useful tool, and the real-world situation regarding co2 including what nature does and has always done, suggesting it is a futile tool
so my useful equation without factoring would be:
kaya identity = futile politics

Daniel G.
July 10, 2014 8:19 am

@Tamara:
Prove that there is a relation between dogs and geese, geese and mice, and mice and elephants.
Guess What: There isn’t.
@Rodney:
Note that R is defined to be V/I:
V = I * (V/I)
Bofil:
Sqrt(GDP) is meaningless. Prove there is a relation between co2em and coinsinCirdc.
The point of the ratio quantities is to create independent variables.

July 10, 2014 8:20 am

Having graduated with a BS in Mathematics (Suma Cum Laude, National Mathematics Honor Society, Mensa) I strongly suggest that those of you that feel or think, hat the above “equation” is valid to review their first year algebra course. It is a “Tautology,” a trick! Like the game where you were asked to pick a number and then go through various manipulations, give the result of the manipulations and “magically” they tell you the number you picked. It is far different than the I=PAT equation, which, at least has some validity. They should have stuck with I = PAT.

David in Texas
July 10, 2014 8:21 am

There is no math error. You, in fact, proved that there wasn’t an error. When we write Y = f(x), well, f(x) better equal Y. I can’t understand how it could be otherwise.
Maybe your criticism is that the equation is trivial. Here again, I would disagree. The equation tells you that if we reduce population we reduce CO2 emissions. Logical, no? Maybe you consider that trivial. OK. But, it also tells you that if we reduce GDP/population. In other words, if we reduce the average wealth of individuals, we reduce CO2 emissions. Now that, I, for one, consider profound, and a stunning admission.

Daniel G.
July 10, 2014 8:23 am

says:
Why I=PAT is valid and Kaya’s identity isn’t?

July 10, 2014 8:24 am

If this identity (as its supporters call it) is other than a standard mathematical equation (is it?) and its purpose is to calculate and/or display the relationships between population change/GDP change/energy usage changes on one hand and CO2 emission changes on the other, then I think such an effort is best accomplished with data graphs rather than this identity. If this is indeed other than a standard mathematical equation, exactly how is it supposed to work and be understood? Graphs are easier to understand.
This “equation” would have to be other than a standard mathematical equation because it indeed makes no sense as such due to the CO2 emissions variable being on both sides and the remaining variables cancelling themselves out.
The only thing being accomplished by using this identity in the climate debate rather than displayed data in graphic form is to generate controversy.

Daniel G.
July 10, 2014 8:25 am

in Texas says:
Apparently, you understand the identity’s meaning. It is the math of totalitarianism.

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