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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Pete Brown
July 10, 2014 11:10 am

“Greg says:
July 10, 2014 at 9:54 am
Oh my , I’ve never found WUWT to be a strong place for a technical discussion but boy are we going to town on this one. Everyone who wouldn’t no an exponential from an elephant’s tail but can remember his two-times table from school is in on this one.”
Greg, I think you meant “know” not “no”
But I’m with you on everything apart from your content…

Daniel G.
July 10, 2014 11:11 am

Lichanos says:

It’s not a ‘scientific’ equation, such as the ones physicists work with when they try to solve for an unknown variable. (Or algebra students, for that matter.) It’s intended for policy maker – economist types. I believe the way they have stated it is very bad – and you have demonstrated why – because the CO2 emissions on the left is the aggregate emissions (observed or desired), and the CO2 emissions on the right is actually part of an average efficiency rating to be observed or set as desired. When I dip into economics texts, I find this stuff sort of mind boggling, but that’s the way it is.

I understand how you feel, but I suggest you read the actual paper. You might become a little less frustated.

sinewave
July 10, 2014 11:13 am

Everyone criticizing Willis, try plugging simple numbers into the equation and then solve it. Then change one of the values like energy and solve again. The answer is exactly the same. If you were trying to make a point along the line of “decreasing energy has such and such an effect on CO2” or “increasing GDP has such and such effect on CO2” this equation would fail to support it. The equation would be useful if someone discovered that CO2=energy x population/GDP or something like that because then you could show what happens when you increase or decrease GDP or Energy or Population. If you want to make the other points mentioned by critics of Willis in these comments surely there’s a better way than using an equation where all the variables cancel out.

DonV
July 10, 2014 11:17 am

I have read most of the comments on this post and, as a result, I have had some pretty good fits of laughter. The one thing I don’t think I have seen discussed however is the fact that this “identity” has quite effectively distracted everyone away from discussing what the “ideal” CO2 production rate should be. Obviously fanatics will assert this value should be ZERO. PFFT! To what end?
IF that could be achieved (IMHO that is impossible) then the net rate of growth of green things on this planet would begin to go down in direct proportion. So instead the IDEAL increase in the rate of CO2 production should be aimed not at ZERO, nor at an attempt to sustain the current value of 30 gigatonnes CO2 but instead at increasing to a value that ideally produces the greatest amount of food and goods necessary for optimal population growth, prosperity, and optimal long term sustainability.
I do not practice the worship of Gaia, but if I did, I would advocate a lot louder for the plants and CO2 consumers on this planet. My argument would be that the O2 consumers have it pretty cushy, since the gas they needed for life is sitting pretty at near 16% while the CO2 consumers are gasping for breath with a measly .04%. I would argue that an increase to twice that amount would hardly affect anything negatively that most other living things desire other than possibly an increase in Florida like weather at higher latitudes. Who wouldn’t like warmer weather in Minnesota? Especially if it means an increase in crop yields, a roll back in desertification, and more green?
So in conclusion, what the UN SHOULD be studying (IMHO) are the answers to the following questions:
What is the historical correlation between the change in CO2 output vs per capita life expenctancy?
What is the historical correlation between the shift from burning grass and dung, to wood, to coal, to gas, to nuclear vs. increase in per capita life expectancy, decrease in death due to starvation, GDP, population growth, self-sufficiency in food production, and sustainability?
What truly IS the optimal increase in CO2 output, and how quickly can we drive up to that value without creating more Madagascars?
But then, since the UN was responsible for the DDT -> increase in malaria disaster, I don’t hold out hope that they will ever get this one right either.

Daniel G.
July 10, 2014 11:19 am

Nancy C says:

Willis would have been right, since they’re different, he was wrong.

Yeah, he misinterpreted it a bit. This show his reading comprehension is not the best.
One of my worries is that most people (including good scientists) are not used to the technical language, methods and conventions of the social sciences. They end up thinking that all social science is gibberish. For example, look at the snarky reactions to the paper indicating that farmers are sceptical of climate change.

July 10, 2014 11:19 am

TerryS says: July 10, 2014 at 10:59 am You could not be more correct,
Assuming they have a valid equation then the transposition of equal parameters will always give the same results. Yes, as others say the individual “ratios’ MAY BE ‘independent,’ however that does not mean that the rules of math can be ignored. To analyze the effect of one of the parameters on CO2 you must have data for all others. Once you pick, for example , population, then it goes into two positions THAY CANCEL OUT. This is NOT, I REPEAT NOT a case of unit verification. A population of 12 billion is 12 billion PEOPLE – the units are people, not 12 billion! You need to use 12 billion on both positions (you can not use 12 BILLION in one position and 3 Billion in the other, to do so would give you GARBAGE) and they cancel out. PERIOD. The same is true for energy, and GDP. That gives your equation CO2 = CO2 x 1 X1 x 1. PERIOD

Nancy C
July 10, 2014 11:21 am

JK, ha ha, yeah, I totally blew that too. barrassed.
Still true, though, that if the CO2 variables on the right and left were actually the same number, you couldn’t adjust the ratios independently of population. Whatever the 3 ratios were, population would always have to equal their reciprocal. Since in the real equation the 2 CO2 variables are different numbers it’s a moot point.

Daniel G.
July 10, 2014 11:22 am

try plugging simple numbers into the equation and then solve it.

I did that after changing the ratios and pop. for letters, which is the correct thing to do.

ferdberple
July 10, 2014 11:22 am

Explain why or when an equation, is not an equation.
===========
an equation is an equation when it contains an “=” sign.
The equation may be true or it may be false. The equation tell us something useful, or it may not.
For example:
a=b (if true, this may useful)
a=a (this is always true, and thus is not useful)
there is no value in an equation that tells us 1=1, 2=2, etc, because this is simply the definition of the “=” sign.
to be useful the equation must be of the form:
rain = dogs + cats
and not of the form:
rain = dogs * cats/dogs * rain/cats

TerryS
July 10, 2014 11:27 am

Re: Nancy C

But yeah, it looks like that’s the problem. If they were the same, Willis would have been right, since they’re different, he was wrong.

Lets try it.
CO2emissions = Population x (GDP/Population) x (Energy/GDP) x (CO2/Energy)
Now lets rearrange using standard algebra techniques taught to school children:
CO2emissions = (Population x GDP x Energy x CO2 ) / (Population x GDP x Energy)
Rearrange again and separate the CO2:
CO2emissions = CO2 x (Population x GDP x Energy) / (Population x GDP x Energy)
CO2emissions = CO2 x 1
In other word the CO2 value on both sides of the equation is the same.

Daniel G.
July 10, 2014 11:32 am


Which rule of math I am ignoring?
If pop increases, so does GDP, so does energy, so does CO2!!!

THAY CANCEL OUT.

I will do this once.
co2 = pop * (gdp/pop) * (energy/gdp) * (co2/energy)
Let me use these example values:
pop = 1,000,000 people
gdp = $20,000,000,000
energy = 6e15 J
co2 = 6 GT of CO2
you might say: this is worthless. I want to know co2.
I say: what matters isn’t co2 (because that is what you are going to find out) but co2/energy.
An increase of pop does not affect co2/energy. But it does affect energy.
An increase of pop does not cancel out with a gdp/pop decrease, because gdp increases too.

Matthew R Marler
July 10, 2014 11:34 am

Willis Eschenbach: CO2_{emissions} = Population * \frac{GDP}{Population} * \frac{Energy}{GDP} * \frac{CO2_{emissions}}{Energy}
That was where I lost it …

Yep. You lost it.
Of course you could substitute any commodity for GDP, but not every country has every commodity, but every country has a GDP. Probably better than beer or GDP would be electricity, but then you miss heating oil and cooking with dung for fuel.
It was a small joke, but let’s face it: you and I are not much interested in reducing CO2 in the first place.

Daniel G.
July 10, 2014 11:34 am

In other word the CO2 value on both sides of the equation is the same.

You have just repeated Willis’ procedure. I and others have already criticized his conclusions.

July 10, 2014 11:39 am

Nancy C says: July 10, 2014 at 11:21 am
“Since in the real equation the 2 CO2 variables are different numbers it’s a moot point.”
If that is TRUE, then you are ignoring or not accounting for many of the CO2 emissions produced in the total generation of energy, e.g. from mine to your house, accounting for even the CO2 generated in the production of concrete for foundations of energy producing equipment. And again end up with a garbage equation.

July 10, 2014 11:39 am

and not of the form:
rain = dogs * cats/dogs * rain/cats

So if I want to know the number of calories in 4 oz of butter, and I get it by looking up the number of calories per oz. on the package, and multiply it by the amount of butter (by weighing it) that’s not a useful equation?

TerryS
July 10, 2014 11:39 am

Re: Daniel G

I will do this once.
co2 = pop * (gdp/pop) * (energy/gdp) * (co2/energy)
Let me use these example values:
pop = 1,000,000 people
gdp = $20,000,000,000
energy = 6e15 J
co2 = 6 GT of CO2

They fit the equation perfectly!!
So do the following:
pop = 1,000 people
gdp = $20,000,000,000
energy = 6e15 J
co2 = 6 GT of CO2
and
pop = 1,000,000,000 people
gdp = $20,000,000,000
energy = 6e15 J
co2 = 6 GT of CO2
and
pop = 1,000,000 people
gdp = $20,000
energy = 6e15 J
co2 = 6 GT of CO2
and
pop = 1,000,000,000,000,000,000,000 people
gdp = $20,000,000,000
energy = 6e99 J
co2 = 6 kg
So exactly how does this equation help you determine any relationships?

Joseph Murphy
July 10, 2014 11:40 am

I am trying to catch up here, so the equation was written wrong? It should be C=P(G/P)(E/G)(N/E)?

Daniel G.
July 10, 2014 11:45 am

People, look at the M&Ms example. It is analogous.
So exactly how does this equation help you determine any relationships?
Simple, all the ratios are more or less independent of each other. So the equation helps to hide the messy details in the related variables. When pop increases, so does Co2 emissions.
if a valid set of values is (because i estimated the ratios and population, finding out co2):
pop = 1,000,000 people
gdp = $20,000,000,000
energy = 6e15 J
co2 = 6 GT of CO2
then this is not valid:
pop = 1,000,000 people
gdp = $20,000
energy = 6e15 J
co2 = 6 GT of CO2
Not that gdp decreased, pop stayed the same. So gdp per capita decreases, so co2 must smaller as well.

Mike H.
July 10, 2014 11:46 am

The talk tab on the Kaya Identity page is also interesting.
http://en.wikipedia.org/wiki/Talk:Kaya_identity

Curious George
July 10, 2014 11:47 am

Do you believe that IPCC, UN, and other alarmist bodies are really interested in CO2 emissions per se? They probably can’t care less whether the air we all breathe contains 0.04% or 0.1% of CO2 (actually, plants would love it). Their stated goal is to prevent a catastrophic global warming. There is no temperature in that equation; the most important piece is missing. We are all beating a dead horse here.

July 10, 2014 11:48 am

Daniel G. says: July 10, 2014 at 11:32 am
“An increase of pop does not affect co2/energy. But it does affect energy.”
Then why has energy remained almost stable, flat, for the last four (plus) years in the USA?
Then why has the GDP gone DOWN IN TERMS OF GOLD or other hard currency, take your pick, for the last six years?
Why has CO2 emissions in the USA gone down and the above questions still be true?
The equation is GARBAGE.

Louis
July 10, 2014 11:49 am

M&M equation: M = C * B/C * P/B * M/P
As others have pointed out, the above equation simplifies to M=M. Although the simplified equation is not useful, the original equation is. To make it easier to see, let’s shorten the equation to:
M = P * M/P
This equation tells you how many total M&Ms there are if you know how many packets you have and how many M&Ms there are in a packet. Even though it reduces to M = M, the equation can still be useful if you want to know how many M&Ms you have without emptying out all the packets and counting each M&M individually. For example, if you have 10 packets of M&Ms and there are 100 M&Ms per packet, the formula tells you that you have 1000 M&Ms total (M = 10 * 100.) If you simplified the equation to M=M, it would still be valid, but it would become useless for making this calculation.
This M&M example helps me to see why it isn’t always desirable to reduce an equation to it simplest terms. For that reason, the Kaya identity may also have a purpose, even though it becomes meaningless when reduced to its simplest form. But I can’t speak for its accuracy. That’s another issue.

TerryS
July 10, 2014 11:49 am

Re: Gerard Harbison

So if I want to know the number of calories in 4 oz of butter, and I get it by looking up the number of calories per oz. on the package, and multiply it by the amount of butter (by weighing it) that’s not a useful equation?

That is a useful equation, but the following isn’t:
Calories = Butter x (Potatoes / Butter) x (Carrots / Potatoes) * (Calories / Carrots)

Daniel G.
July 10, 2014 11:51 am

If that is TRUE, then you are ignoring or not accounting for many of the CO2 emissions produced in the total generation of energy, e.g. from mine to your house, accounting for even the CO2 generated in the production of concrete for foundations of energy producing equipment. And again end up with a garbage equation.

Read the paper. Or Willis’ quote. It is talking about energy-related emissions.

Frodo
July 10, 2014 11:52 am

You are all wrong 🙂
The correct, scientifically rigorous, extensively peer-reviewed, 97% guaranteed to be accurate 95% of the time equation IS (wait for it):
CAGW = FRAUD

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