The Tyranny of Tautology

A response to A conversation with Dr. Roger Pielke Jr.

Guest essay by Scott Bennett

Willis Eschenbach described the Kaya Identity as being “trivially true”, his opinion is uncontested by Dr Pielke Jr., whose only retort in its defence was, ‘the math is simple’.

The Kaya is a simple Identity, used as a tautological instrument. To deny this, would be to deny the very heart of its utility. The algebraic cancellation and isolation of its terms is de rigueur for its use.

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Fig. 1. The “Kaya Identity” as depicted in the lecture by Dr Roger Pielke Jr. : Climate Policy for a High Energy Planet4

I really wanted to understand how the Identity was actually applied, both mathematically and as a “tool” of policy discourse. To that end, I spent several days grappling with Kaya, as demonstrated by Dr Pielke Jr. .

When I felt I fully understood its application, I turned to the real world, from whence the model was presumably derived.

It doesn’t take very long to see why the Kaya is being used as an instrument of policy. Examining the real world, makes it abundantly obvious, just what a stake-to-the-heart, reality is, for policy wonks!

The Kaya’s real value is in its use, as a claim to authority. It is a construct, designed to frame the debate and thus isolate and compartmentalise contradiction.

Everywhere I looked, the terms as factors of total emissions where erroneous. But how could this be, I wondered? It seemed reasonable to suppose that the factors as given in the Kaya, according to Dr Pielke Jr., are the ‘only levers available in the tool box’.

I spent some time gathering data and comparing real places. More and more I began to see, that there was a fundamental factor missing. How is it possible that emissions weren’t a direct measure of the energy intensity of GDP and the efficiency of its energy production? Clearly there was a missing factor that was making the proportionality of the Kaya’s terms aberrant. Some hidden input was providing efficiencies that oddly, reduced the size of real world terms, making their ratios, counter intuitive!

But before I reveal what it is, I will tell you why it was left out! It was censored because it exposes the fact that the relationships of the Kaya are not universally applicable (Across the countries of the world). The inclusion of this important term renders the Kaya impotent as a tool of national policy.

Truly, the phrase “one size does not fit all” could never be ascribed more applicably than to the Kaya Identity!

Land area1 is the missing term and including it makes it very difficult to compare economies directly, and at the same time keep a straight face!

Ratios like, population density and emissions per km, would seem to be, essential aspects of any genuine and realistic analysis. Without this quantity it is irrational to compare national emissions and their individual contribution to the global total.

Singapore, with the world’s highest population density, is 11,000 times smaller than Australia. Australia’s land area represents 5% of the Earth’s surface, while its emissions are just 1% of the global total. The entirety of Europe2 fits inside Australia with room to spare.

Singapore’s population is 4 times smaller than Australia, its GDP is 5 times smaller, its emissions are 3 times smaller and its total energy usage is 45 times smaller. Yet, using the ratio of Emissions/GDP3, we find that Singapore produces 1.7 times more CO2 emissions for every dollar of GDP than Australia. This isn’t a real mystery, when you realise that not all GDPs are equal, of course!

It is probably safe to say that the resources in Australia’s vast land area, something Singapore lacks, is the missing factor in this case. The numbers are also strongly at odds with the assumptions spruiked by Kaya devotees, because Singapore produces all its electricity from natural gas while Australia is coal fired!

It is also probably not a surprise, that with such a small land area, Singapore produces 3,500 times the CO2 per km compared to Australia’s tiny contribution of just 5.5 kt/km.

This is the weakness of the Kaya. It can’t be universally applied. As soon as you compare figures across countries you discover the logical fallacies inherent in it.

Australia’s ratio of, emissions to GDP, is just double that of France. If emissions per square kilometre are compared however, France emits 12 times that of Australia.

It is clear why governments around the world aren’t rushing to embrace the logic of the Kaya. They understand, that they would be ill advised to do so. The Kaya is a tool of the global minded, useless for national policy, that reveals with perfect clarity, the hubris of groupthink and the latent stupidity of collectivist ambitions.

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Notes:

1. Absolute values are given here, rather than “Real Land Area” which is of less relevance to the geography of climate.

2. Western Eurasia excluding Asia and Russia. The West or Western Europe.

3. This ratio is demonstrated in Dr Pielke’s lecture! The intent here, is to highlight that its “usefulness” also extends to invalidating the relationships between all four terms of the Kaya itself 😉

4. https://www.youtube.com/watch?v=QTUE5Ue6Z38

UPDATE: Dr. Roy Spencer has a nice simplification of the terms cancelling issue here in The Kaya Identity Crisis

UPDATE2: Elevated from a comment.

The problem with the Kaya identity is in its application, not in its arithmetic or ability to produce a bit of understanding about the real world. It is being used to help generate policy; long term policy that will be around for decades. It is being used to generate a meme; a way of thinking that will influence decision makers for many years to come.

The Kaya identity begins with the assumption that CO2 emissions MUST be reduced. RPjr stated in his video that it wasn’t even worth talking about the science of climate change anymore. He implied that there was absolutely no point in even discussing climate sensitivity to CO2 emissions and that such discussions are actually harmful. (I was gobsmacked!) The Kaya identity is part of the meme that proclaims “The science is settled!” He argues that it doesn’t matter what the science says about CO2′s impact. The Kaya identity is valid regardless. While that may be true for the identity, it is just stupid to carry that thinking over to the process of making policy. There is nothing more important than the science in making good policy decisions.

The Kaya identity ends with disaster. It is inherently linear in every aspect. The world is inherently non-linear in every aspect. The Kaya identity gives an illusion of knowledge and wisdom to decision makers; convincing them that they will be making good choices. In reality, there is a near zero chance that policies resulting from the use of the Kaya identity will be positive. The outcomes from such policies will range from bad to disastrous.

The Kaya identity gives decision makers the idea that they actually have a control knob. A half turn to the right gives a certain result every time. A half turn to the left gives another result, but just as predictable and dependable as the half turn to the right. This is a complete illusion!

Using the Kaya identity to make policy is like deciding to paddle your raft with two strokes on the right, followed by two strokes on the left, for the entire duration of your trip down the Colorado river. Such a strategy will not get you very far and may actually kill you. They way to paddle your raft down the Colorado river is by constantly assessing your current situation and deciding the best possible paddle strokes for that moment.

The same is true for climate change policy. There is no need to implement solutions today that will solve all climate change problems for the next 100 years. In fact, that would be impossible, and any attempt to do it would almost certainly cause more harm than good. In order to make good decisions, those decisions should be focused on the short term, and the main objective should be the strengthening of the position of future decision makers. That means the current policies should promote adaptability in all areas while enhancing the financial strength of future generations to deal with their issues; issues that they will certainly understand far better than we do today. It means the science is constantly assessed, along with the current state of the population and their needs. It means the UN should be concentrating on potable water for all of humanity today and not on the average global temperature 100 years from now.

The use of the Kaya identity rationalizes the bad decision making process. It allows decision makers to ignore the vital importance of adaptability and weaken the financial strength of future generations. It is the height of hubris and the antithesis of wisdom to use the Kaya identity in the manner it is being used by the United Nations and other bureau-crazies; and apparently promoted by Roger Pielke, Jr; a man I admire and respect, but strongly disagree with on this topic.

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207 Comments
Alan Robertson
July 24, 2014 8:42 am

Gary Pearse says:
July 24, 2014 at 7:55 am
“There is a lot of gullible nonsense coming up in this and previous threads that relates to Roger Jr’s innocence on this matter.”
__________________
Agreed.

Daniel G.
July 24, 2014 8:47 am

Are you really arguing, that a continent that is 5% of the Earth’s Surface should be compared with one that is 7000 times smaller, such as Hong Kong!

You are the one doing a comparison!

July 24, 2014 8:47 am

BTW, now that I spelled out the SCOTT BENNETT identity, there may be something to it.
You do not want to impoverish people, so you don’t want to decrease GDP or GDP per capita, but why should it be bad per se trying to decrease CO2 per unit of GDP ?
Also, population P is now replaced by population density. Surely, unless you’re a North Korean dictator, you do not wish to decimate population P, but decreasing population density would simply mean “more room for everybody”.
And the connection between land area and GDP? In a global setting, it still wouldn’t mean much. But in principe, for individual countries/regions, why would it be a bad case if countries made better use of the natural resources they have available within their borders?
Just some thoughts.

Darren Potter
July 24, 2014 8:52 am

John West says: “If you want to reduce CO2 emissions, what are your options?”
Kaya is “Smoke & Mirrors” construct of Global Warming sham Alarmists. Purpose being to add another Scare. With Kaya craftily based on false premise AGW is fact.
Being there is No valid Scientific evidence of claimed Anthropological Global Warming, let alone AGW being caused by increase in Man made CO2, there is No need to be even discussing reducing CO2 emissions.
Kaya is more AGW Caca.

Ted Clayton
July 24, 2014 8:52 am

Daniel G. says July 24, 2014 at 8:21 am

[Gary Pearse says July 24, 2014 at 7:55 am]
Population is the main factor that appears to need manipulation.

Even with the starkest population control measures, population is going to increase in this century.
But that is beside the point. THE IDENTITY DOESN’T MAKE NORMATIVE JUDGMENTS.

The determinative point for the intellectual fate of the Kaya Identity, is that the population is not an inanimate, inert or passive element of the construct.
This ‘bookkeeping device’ will be fine as long as it stays in Ivory Towers and hallowed bureaucratic halls. As soon as it strolls out into the streets, the populace will immediate see that it is they who are the target. At that point, the Kaya Identity assumes the pariah-identity.

Alx
July 24, 2014 8:58 am

dghblogging says:
July 24, 2014 at 3:17 am
Can you point to where Pielke compared the Kaya identity of two countries? My impression was that it was intended to describe a single economy not to compare them.Here’s an identity
—————————-
If it can’t be used to compare economies how can it have any value in describing one economy? Because we are all individuals with unique physical characteristics does not mean we cannot compare blood pressure statistics. And thankfully many equations and identities work regardless of nationality. This identity/model/equation hybrid has no value, other thant to present something that looks scientific and/or mathmatical that focuses on man-made Co2. It is enormously stupid scientifically and deceptive poltically. It does describe the obvious concept that Co2 is equal to energy_use * efficiency and type of energy generation, but then throws in population and GDP ratios in bizarre and immeasurable relationships.
But planet earth fear not. Here is an Identity (thanks to Rummy) that supercedes Co2 concerns and gets to the heart of Climate-Change:
Climate_Change = known * (known_Unknown/known) * (unknown_Unknown/known_Unknown) * (Climate_Change/unknown_Unknown)
This works, plug in the numbers and you will find thankfully for the future of the Earth that
Climate_Change = Climate_Change.

July 24, 2014 9:11 am

Gary says:
July 24, 2014 at 7:01 am
I agree, completely, with the observations, you and others have pointed out about my use of commas! 😉
However, if you have ever had, to read your own essays in front of a large audience, you will find, as I did, that, for the most part, there can never be enough commas! 😉

RACookPE1978
Editor
July 24, 2014 9:26 am

Scott Wilmot Bennett says:
July 24, 2014 at 9:11 am (replying to)
Gary says:
July 24, 2014 at 7:01 am
I agree, completely, with the observations, you and others have pointed out about my use of commas! 😉

Yeah, yeah, yeah. Next, are you gonna start singing your theme song from a few years back?
You know, that one that begins “Comma, Comma, Comma, Comma, Chameleon”

Louis LeBlanc
July 24, 2014 9:27 am

Isn’t the Kaya Identity a Ludlum novel about a Japanese agent trying to find himself?

Bart
July 24, 2014 9:29 am

Amazing how this trivial matter has generated so much controversy. It is very simple.
The ratios in the identity are more or less independent of one another, and of population. So, e.g., to get a 50% reduction in CO2 emissions, you need to either: 1) cut the population in half, 2) diminish per capita GDP by half, 3) increase energy efficiency (GDP per unit of energy) by factor of 2, 4) increase “CO2 efficiency” (energy produced per unit of CO2) by factor of 2, or 5) some mix of the above. It illustrates the fact that this requires: 1) stringent population controls, 2) precipitous drop in standard of living, 3) enormous increases in energy efficiency, and/or 4) massive reduction in CO2 production for each erg of energy.
That’s all. Shouldn’t even be controversial.

JJ
July 24, 2014 9:29 am

Alan Robertson says:
Not a bad effort from a no- name drive- by troll. Not bad at all.

Sweetheart, I commented at length on the first two posts. Despite having demonstrated the mathematical ignorance and error of those posts and the follow-on commetns, the idiocy continues apace. Now we are treated with the moronic assertion that the lack of a land area term is somehow invalidating. That is retarded.
These juvenile “falsifications” of a mundane economic identity are strictly “Sky Dragon” type material, and Anthony should treat them as such. To do otherwise prolongs the embarrassment.

John West
July 24, 2014 9:30 am

Darren Potter says:
“there is No valid Scientific evidence of claimed Anthropological Global Warming”
Who said there was?
anthropological – of or concerned with the science of anthropology; “anthropological studies”
I think you meant anthropogenic. Anyway, to say “no valid scientific evidence” is a bridge or two too far. There’s some valid scientific evidence for almost any nutty hypothesis. Saying there’s insufficient valid scientific evidence for AGW and especially CAGW to justify mitigation efforts would be much more defendable. You are right that the Kaya Identity’s applicability to policy decisions depends upon the assumption that CO2 emissions have a significant impact and since there’s insufficient evidence to make that conclusion the Kaya Identity is as you put it ”AGW Caca” indeed.

July 24, 2014 9:31 am

Bart says: July 24, 2014 at 9:29 am
The ratios in the identity are more or less independent of one another
Funny that you should say that, because even IPCC denies that.

outtheback
July 24, 2014 9:41 am

Kaya IS the ideal numbers game, and that is all it is, for policymakers.
In the age of showing how good we are as a country Kaya allows just about any country to find something that shows that they are the lowest CO2 producers per whatever in their region, a race to the bottom so to speak.
That is why our neighbors need to do more and we don’t have to do anything.
It is all their fault. We are proper global citizens doing our bit and we have the numbers to prove it.
Now we have land area to add to this, soon it will be length of coastline, area still in forest, households rather then capita, you name it. Fantastic.
The Al Gore green principle. Others have to change their way of living, not me because …….!
So a policymaker does not have to do a thing (what is new), their country is the lowest per whatever.
What a way to go.
As far as increasing CO2 is concerned I am only seeing positives so far, doing nothing is exactly what is needed. Although getting ready for a future with very limited C based fuels available is not a silly thing. But none of us commenting here today need to worry about that.
Methane Hydrates are next.
And if the Maldives are really that concerned about rising sea levels they should stop tourism today, accept those coming in by paddle canoe perhaps. All these people flying untold miles producing megatons CO2 to get there which supposedly aids warming and sea level rise as a consequence hurting their low lying islands. That would show that they take it serious. Or is it that all countries should ban travel to the Maldives so they can be saved. Come on people, we have to help them if they can’t help themselves. If their concern is real they should lead by example, just like Al Gore.

Shawnhet
July 24, 2014 9:51 am

I don’t want to come off as too negative as I do think that land area will have an impact on CO2 emissions. I just think that this relationship is going to prove to be highly non-linear so it will probably not be easy to quantify. That said, without quantifying the relationship somehow there is no way to test this idea and it is only handwaving. It is one thing to claim that Kaya + land area does a better job of explaining CO2 emissions that Kaya alone. It is another thing to *show* that.
Off the top of my head, land area of a country will affect CO2 usage in a couple of main ways 1. the amount of land in a country will affect the utility of owning a vehicle and 2. the size of homes, and other structures will be greater in a country with a lot of land, 3. goods will need to be transported further in a country with a lot of land than otherwise.
Each of these things will have several sub-factors involved – for instance the utility of owning a car will depend on the distance one needs to travel, the cost of the car itself and its operating costs after factoring in the time savings and increased convenience of other modes of transport. As you get a more densely populated country, these other options (ie public transport) will tend to get better and more convenient as population density increases.
I, personally doubt that it will be possible to construct a model that will accurately reflect all these factors for a country but feel free to give it a go.
Certainly, it would be great to have a Kaya identity that would allow us to compare countries meaningfully, but this is likely to be pretty hard to come up with.
Cheers, 🙂

Bart
July 24, 2014 10:01 am

Johan says:
July 24, 2014 at 9:31 am
Are you saying that per capita GDP depends on population? On CO2 efficiency?
Does it depends on energy efficiency? Not directly. This is a tricky one – higher energy efficiency allows greater GDP for a given population, but it does not produce it.
Each of these terms can be varied without changing any of the others.
It would be more rigorous if the equation were written as an expansion in partial derivatives, but you’re bound to lose most of your audience doing that. As it is, it is just an heuristic tool for putting changes which would have to be wrought into perspective.

July 24, 2014 10:08 am

Shawnhet says: July 24, 2014 at 9:51 am
I, personally doubt that it will be possible to construct a model that will accurately reflect all these factors for a country but feel free to give it a go.
It seems to me that “land area” is a bad proxy for a variable that just *might* be interesting, namely “presence of natural resources”, all the more so if you make a distinction between replenishable and non-replenishable natural resources.
In the SCOTT BENNETT IDENTITY CO2/GDP = (L/GDP) * (P/L) * (GDP/P) * (E/GDP) * (CO2/E)
decreasing population density (P/L) would actually decrease CO2/GDP, which seems very odd, to say the least (for some of the reasons you mentioned in your post).
But what if L meant “presence of natural resources” instead of “land area”. In that case, decreasing (P/L) woud either mean lowering P (keeping L constant), which we don’t want; or increasing L (keeping P constant), wich in principle would be possible if L were to include replenishable resources.
Furthermore, (L/GDP) would now mean “presence of natural resources per unit of GDP”. One could argue that policies could increase (L/GDP) by making resources extraction more efficient, and/or by making better use of replenishable natural resources.
Just some musings.

steveta_uk
July 24, 2014 10:09 am

Bart, please try it with some real numbers.
Fill in the entire Kaya identity with real information from any where.
Then 1/2 the population and keep everything else the same.
What results do you get? Notice anything strange?

sinewave
July 24, 2014 10:09 am

Reading the article in Wikipedia on the Kaya Identity (http://en.m.wikipedia.org/wiki/Kaya_identity), it looks to me like it was originally presented as a tool for global analysis rather than something for individual countries. It’s probably more of a tool for use by an organization like the IPCC to try to shape policy on a global scale than anything else. Has anyone reached out to Yoichi Kaya for his comments on all this?

July 24, 2014 10:13 am

Johan says: July 24, 2014 at 10:08 am
One could argue that policies could increase (L/GDP) by making resources extraction more efficient, and/or by making better use of replenishable natural resources.
That should of course read
decrease (L/GDP). The whole idea is to produce the same amount of GDP with less natural resources; or conversely, to produce more GDP with the same amount of resources.

July 24, 2014 10:21 am

sinewave says: July 24, 2014 at 10:09 am
Has anyone reached out to Yoichi Kaya for his comments on all this?
For what purpose? Just read the book he co-edited.
Environment, energy and economy: Strategies for sustainability. by Yoichi Kaya (Editor), Keiichi Yokobori (Editor), United Nations University Press (November 1, 1997)
You can buy it at Amazon http://www.amazon.com/Environment-Energy-Economy-Strategies-Sustainability/dp/9280809113/ref=sr_1_1?s=books&ie=UTF8&qid=1406222207&sr=1-1&keywords=yoichi+kaya

Duster
July 24, 2014 10:21 am

Alx says:
July 24, 2014 at 8:58 am
. . .
Climate_Change = known * (known_Unknown/known) * (unknown_Unknown/known_Unknown) * (Climate_Change/unknown_Unknown)
This works, plug in the numbers and you will find thankfully for the future of the Earth that
Climate_Change = Climate_Change.

Thank you. I was beginning to doubt my grasp of the associative property, looking for nonexistent information. A tautology in short. How again is the Kaya identity informative?

dp
July 24, 2014 10:36 am

After reading this, I felt a piece of my intelligence, leave me, and, I fear, it is never, to return. It has been replaced, with a new fondness, for the comma and, I have developed a speech pattern, that makes me sound, like Obama’s stutterances.
If there is a god who loves us she will make this the last WUWT post on the Kaya Identity.
REPLY: Actually, yes, I’m pretty well done with it. I found the whole exercise an interesting study in perceptions, much like the global warming debate itself. I’m prepared to leave with the identity being trivially true for science to true for political purposes. – Anthony

Bart
July 24, 2014 10:51 am

steveta_uk says:
July 24, 2014 at 10:09 am
I get 1/2 emissions. Why is that strange?

brians356
July 24, 2014 10:57 am

Scott Bennet,
The mysterious “dp” is spot on – your comma key seems to have a mind of its own. You need to disable it, or severely limit its use. Or, submit your drafts to a good living, breathing editor.