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

The climate data they don't want you to find — free, to your inbox.
Join readers who get 5–8 new articles daily — no algorithms, no shadow bans.
0 0 votes
Article Rating
682 Comments
July 10, 2014 8:58 am

That should have been “You therefore can’t vary c/population independent of population.

steverichards1984
July 10, 2014 8:59 am

Let me try and state it more clearly than ‘Rodney’:
Yes
V = IR
So we could substitute V for anywhere we see IR
So V = V
The above is valid but unproductive, it gets you know where.
If you use V = IR to calculate V when you know both I and R, then you have done something productive.
To transpose a formula from V = IR —> V = V whilst true, is unproductive.
Now, if you have a formula such as the one Willis spoke of, where, after the normal rules of simplification gives you the equivalent of V = V, then your starting formula is rubbish, no more, no less, just rubbish.
I was going to write that it is really sad that some people do not know basic transposition and substitution, but I decided not to.
We all have our own level of knowledge, its just a bit scary at times to find out what everyone understands……..

July 10, 2014 9:04 am

>> It was $3 trillion / (300 million people) = $10/people
>>Now it is $5/people. GDP is a quarter of what it was, now it is $750 billion.
Ok, let’s plug it back into the formula at $750 billion (GDP being a quarter of what it once was)
CO2 = 150 million people * ($750 billion / 150 million people) * (500 trillion joules / $750 billion) * (CO2 emissions/500 trillion joules)
It still simplifies to CO2 = CO2. According to this ‘formula’ CO2 can still be anything.
Look, I’m not arguing that lowered population = lowered CO2. I’m arguing that the formula is incapable of telling you that.

July 10, 2014 9:06 am

No, if your equation reduces to lhs = rhs, it’s not rubbish, it’s an identity. Which is probably why this particular example is called the Kaya identiyy. The quantities on the right: population, per capita GDP, energy intensity of GDP, carbon intensity of energy are all meaningful and largely independent, just as current and resistance are in Ohm’s Law.

Daniel G.
July 10, 2014 9:06 am

Bofil:
Without knowing these relationships, I don’t see how we know that the identity describes what’s really going on. We’re just assuming it.
Linearity is not a bad assumption. And ultimately, the identity describe qualitative relationships.

July 10, 2014 9:07 am

Look, I’m not arguing that lowered population = lowered CO2. I’m arguing that the formula is incapable of telling you that.
The other three variables being held equal, it’s telling you exactly that.

kenw
July 10, 2014 9:08 am

steverichards1984 says:
July 10, 2014 at 8:59 am
Thank you. I was also trying to clarify but you beat me to it. The fact is that if you DO NOT get 1=1 you have a big problem.

Tamara
July 10, 2014 9:08 am

Gerald, let’s try it this way.
Let’s say we are totally awesome, and reduce the CO2 intensity of our energy to zero.
What variable has changed?
What is our GDP?
What is our population?

Daniel G.
July 10, 2014 9:09 am

I’m arguing that the formula is incapable of telling you that.

You are using it incorrectly.
Look at steveta wrote:

Lets say I have some crates of M&Ms. In the crate there are many boxes. In the boxes there are many packets. In the packets there are many M&Ms.
So the equations for how many M&Ms I’ve got is
M = C * B/C * P/B * M/P
So if I know how many M&M per packet, and packets per box, and boxes per crate, and the number of crates, I can easily calculate the number of M&Ms. This is the Kaya method.

Curious George
July 10, 2014 9:10 am

I like the simplicity of the UN CO2 equation – a direct application of accounting rules to the problem at hand. Let’s try the same approach to determine the exact number of intelligent civilizations in our Galaxy:
ICt = ICy + ICb – ICd
where ICt is the number of Intelligent Civilizations today, ICy is the number for yesterday, ICb is a number of civilizations born in one day, and ICd is a number of civilizations disappearing in one day. As a test, we can set all for variables to zero (consistent with observations), and get a perfect agreement.
To keep it simple, I omitted technical details like a relativity of time or a choice of a reference frame.

July 10, 2014 9:10 am

I think we really need to embrace this equation. We need to make sure every person on the planet is exposed to it for it demonstrates unequivocally that we have done all that is possible to solve the “problem” of CO2. No matter how we change global population, or per capita GDP, or the economic efficiency of energy, or the emission efficiency of energy production, CO2 emissions remain the same. As our next dictator in waiting Ms. Clinton has said at this point what does it matter? It’s game over! Tell all those leeches at the IPCC, the UN, the NGOs, etc. to hit the bricks! No more jetting about to various garden spots across the globe to plot their extortions of the rest of us, no more six figure salaries to plot the impoverishment of the rest of us. You are all immediately redundant, don’t let the screen door hit you on the way out!

Daniel G.
July 10, 2014 9:12 am

Tamara says:

Let’s say we are totally awesome, and reduce the CO2 intensity of our energy to zero.
What variable has changed?
What is our GDP?
What is our population?

Let me remind you that we are talking about energy-related emissions. (read Willis’ post)
If we manage to capture all CO2 we emit in energy generation, our energy-related emissions drop to zero.
CO2 = p * w * b * 0 = 0
Can you see it?

JK
July 10, 2014 9:13 am

ferdberple says:
“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.”
But what the identity tells us is that
IF the following are held constant:
GDP/population
energy/GDP
CO2 emissions/energy
THEN:
CO2 emissions are proportional to population.
So what? Why is this of any more interest that learning that
IF the following are held constant:
GDP/Al Gore’s waistline
energy/GDP
CO2 emissions/energy
THEN:
CO2 emissions are proportional to Al Gore’s waistline?
The answer is that GDP / population means something, and holding it constant or varying it, whether in reality or in our imagination for analytical purposes, leads to understanding.
GDP / population is perhaps the most important number there is for understanding how the economy works. Sometimes it is described by an innocuous term like ‘living standards’. It reflects the most profound truth about the economy – namely, that all wealth is created by human beings. All economic progress, I would argue, is ultimately measured by this number. How much wealth can be produced by each individual? How can we raise productivity? This is the determinant of all human prosperity. GDP / population does not tell us everything – for example it ignores the question of inequality, since in reality the difference parts of the population do not produce or consumer even amounts of GDP. The GDP / population ratio is only an average. But it is a crucial starting point for understanding.
GDP/Al Gore’s waistline is just an arbitrary number. It’s a joke. Of course you can plug it in to your identity and get and arithmetically correct formula. But if you think the identities are just as significant as one another, I don’t believe you are thinking carefully enough about what the numbers mean.
It makes sense to imagine the population changing while GDP / population stays the same, or vice versa. These are useful thought experiments for understanding the real world. The useful information that the identity is adding to CO2 = CO2 is in understanding how the consequences of those assumptions play out.
If you want to think about the consequences of varying the ratio of GDP / Al Gore’s waistline independently of Al Gore’s waistline then the corresponding identity will help you figure that out.
But if you believe GDP / population is just as important a measure as GDP / Al Gore’s waistline I can’t help you.
The same problem arises with Willis’ original example.
Whether or not you think CO2 is a problem, the fact remains that the ratios GDP / population, Energy / GDP and CO2 / energy are meaningful numbers.
The reason is that in each of these ratios the numerator and the denominator have a a real relationship to each other, not just an arbitrary arithmetic relationship.
You may not think that CO2 is a problem, or even that CO2 causes global warming. But surely it’s riduculous not to see that (world CO2 emissions / world energy production) is a more meaningful number than (world CO2 emissions / energy production to make beer). Just as we could interpret (GDP / population) to mean something, we can see that (CO2 emissions / world energy production) reflects something real, namely the technology used to generate energy (of course it does not reflect this perfectly as not all human emissions come from energy). What in reality does )world CO2 emissions / energy production to make beer) reflect? Nothing.
Of course we could consider a functional form such as GDP squared / population, rather than GDP and get an arithmetic identity that is just as valid as the Kaya idendity. But it would not be so useful because it does not reflect the real relationship between GDP and population in the way that GDP / population does. This is why you find it tabulated by so many economic analysts, and they have been doing so for years before the climate scare.
It’s the same with the NancyC’s proposal:
e = population * (m/GDP) * (GDP*c) * (c/population)
It’s a valid equation. But it’s not useful, because the relationship between mass and GDP is arbitrary.
In focusing on arithmetic, it looks to me that Willis forget to think about what the numbers mean.

richardscourtney
July 10, 2014 9:13 am

tttt:
At July 10, 2014 at 6:02 am you reply to me

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.

YES! That is what I have been saying!
However, you and some others are refusing to see that the factors are not real and can – with equal validity – be claimed to be anything. 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.
With that substitution the equation would have unchanged validity but be more honest.
Richard

Daniel G.
July 10, 2014 9:14 am

Dave Wendt says:

No matter how we change global population, or per capita GDP, or the economic efficiency of energy, or the emission efficiency of energy production, CO2 emissions remain the same.

It doesn’t.

Mark Bofill
July 10, 2014 9:16 am

K, this is going nowhere. I’m not going to waste time and space continuing the debate. You want to go ahead and make a bunch of unfounded assumptions, probably including some we haven’t though of, that’s your business. I don’t see the point. For the record, I’m not persuaded, but I’m going to drop it.

Joseph Murphy
July 10, 2014 9:19 am

Daniel G. says:
July 10, 2014 at 9:09 am
I’m arguing that the formula is incapable of telling you that.
You are using it incorrectly.
Look at steveta wrote:
Lets say I have some crates of M&Ms. In the crate there are many boxes. In the boxes there are many packets. In the packets there are many M&Ms.
So the equations for how many M&Ms I’ve got is
M = C * B/C * P/B * M/P
So if I know how many M&M per packet, and packets per box, and boxes per crate, and the number of crates, I can easily calculate the number of M&Ms. This is the Kaya method.
———————-
all you have done here is to use a lot of words to say “I know the number of M&Ms, therefore I know the number of M&M’s” The number of boxes, crates, packets is not relevant and independant of the number of M&Ms. You can plug in any value for them and it changes nothing, especially the number of M&Ms.

bones
July 10, 2014 9:22 am

Willis,
The warmistas will try to use this to discredit the many correct pieces of work that you have posted here. You should retract this one. Identities of this sort are useful for estimating things unknown from things known. I think that ttt expressed this most succinctly with his example. If you know your car’s average gas mileage and you travel somewhere requiring some known amount of gas, you can estimate the miles driven from
Miles driven = Gallons * Miles / gallon.
Maybe not as good as an odometer, but it does yield useful information.

July 10, 2014 9:27 am

>> M = C * B/C * P/B * M/P
Here’s where those using the “M&M examples are in error. The units and quantities are NOT the same.
Let’s spell it out a little further
M&M’s = Crates * Boxes / Crate * Packages / Box * M&M’s / Pacakge.
If I know that I have 5 crates, 10 boxes per crate, 20 packages per box, and 30 M&M’s per package, the result looks like this:
M&Ms = 5 crates * (10 boxes / 1 crate) * (20 packages / 1 box) * (30 M&M’s / 1 pacakge)
PLEASE NOTE: While the units cancel each other out, the quantities still express a relationship. So this formula reduces to
5 * 10 * 20 * 30M&M’s (crates, boxes, and package units all cancel leaving just quanity)
So you have 30,000 M&Ms.
In the formula Willis posted, there is nowhere for quantities to vary between the numerator and denominator, and therefore no relationship that can be expressed. To put it in the M&M analogy, it would be the same as saying that “however many number of crates you use, it holds as many boxes as we shipped” (and so on down the line of containers). It’s logical fallacy.
Silly, yes. Just like the original formula.

Daniel G.
July 10, 2014 9:28 am

@Joseph Murphy says:
You might not know the number of M&Ms. But the producer tells you the number of M&Ms per packet. An co-worker tells you the number of boxes per crate. What do you do?
Best method:
Step 1: Count packets per box.
Step 2: Count crates.
Step 3: Use the tautological identity.
[Everyone, keep in mind we are talking about energy-related emissions, read the UN’s paper.]

Daniel G.
July 10, 2014 9:29 am

In the formula Willis posted, there is nowhere for quantities to vary between the numerator and denominator, and therefore no relationship that can be expressed.

Yes, there is. More population increases GDP. Duh.

Dr. Doug
July 10, 2014 9:31 am

Friends,
Permit a few remarks from an economist who knows something about both both the use — and abuse — of modeling and about the empirical referents here.
First, I think we all agree that a mathematical identity has neither empirical content nor theoretical demonstrative power in itself. It is nothing more nor less than an accounting device. The limited nature of a mathematical identity is not a point in dispute. It would help this discussion greatly if everyone would see that this point is not in dispute.
So, when might such an accounting device, consisting largely of ratios, be useful? When these ratios themselves (1) exhibit some sort of regularity and (2) vary independently of each other, at least to some extent. This is the issue giving rise to disagreement here.
Take GDP/population. This is a useful ratio for multiple reasons: (1) it expresses production per capita as well as income per capita, and thus average standard of living. It’s a highly meaningful ratio in itself, apart from its usefulness in thinking about decarbonization. (2) Other things equal, GDP grows when the population, and thus the labor force, grows. It is not a 1:1 relationship (because of diminishing returns), but it is an empirically (not just theoretically) real relationship, adding to the meaningfulness of the ratio in itself. (3) Empirically, the ratio tends to rise over time due to technological change and capital accumulation, more than offsetting the diminishing returns just noted.
Given the important fact of rising GDP per capita, we might expect rising carbon consumption per capita — but that depends on other things being equal. And they’re not. Why not? Well, the declining energy intensity of GDP and the varying carbon intensity of energy.
And that’s what the equation is useful for getting at.

July 10, 2014 9:31 am

>> Yes, there is. More population increases GDP. Duh.
And each of those increases cancel each other out in the formula.

July 10, 2014 9:32 am

Let’s say we are totally awesome, and reduce the CO2 intensity of our energy to zero.
What variable has changed?
What is our GDP?
What is our population?

The carbon intensity has changed. We would reduce carbon dioxide emissions to zero. We can say nothing about the other three independent variables on the right hand side.
Do you understand the difference between a dependent and an independent variable?

July 10, 2014 9:32 am

So the equations for how many M&Ms I’ve got is
M = C * B/C * P/B * M/P
So if I know how many M&M per packet, and packets per box, and boxes per crate, and the number of crates, I can easily calculate the number of M&Ms. This is the Kaya method.
Except that in your equation the variables have different values at each stage. In M/P, P=1. In P/B
P= some number presumably greater than 1 and B=1. In B/C, B= some number presumably greater than 1 and C=1. C would be the same only in the singular case where you have only one crate. What you have constructed is in no way equivalent to the Kaya Identity

1 8 9 10 11 12 28