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.

=============================================================

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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Ted Clayton
July 24, 2014 5:42 am

Angels on the head of a pin.
Lumpers vs Splitters.
It’s the contestants, not the content.
“Framing” is a tool of conflict, not erudition.

July 24, 2014 5:45 am

First, looking at Fig. 1, is that C = Carbon or should it be Carbon Dioxide emissions?
Either way, “Carbon/Carbon Dioxide emissions + Carbon/Carbon Dioxide emissions” seems perfectly reasonable to me.
However, determining world-wide total C/CO2 emissions, or a specific countries C/CO2 emissions, should be by direct observation and measurements, (or well-established methods of estimation) not by some odd machination of GDP, People, Energy usage and efficiency,

July 24, 2014 5:46 am

Uh, typo above –
“Either way, “Carbon/Carbon Dioxide emissions = Carbon/Carbon Dioxide emissions” seems perfectly reasonable to me.”

Brock Way
July 24, 2014 5:50 am

If anyone lost some superfluous commas, I think they can be found above.

John West
July 24, 2014 5:52 am

Land area is not a “knob” that can be significantly adjusted to effect CO2 emissions and therefore rightfully not in the Kaya Identity.
If you want to reduce CO2 emissions, what are your options?
1) Reduce Population,
2) Reduce the standard of living,
3) Increase economic/production efficiency,
4) Reduce CO2 emission intensity of energy production,
5) Increase transportation efficiency wrt CO2 emissions.
(#5 is not well covered in the Kaya Identity due to the use of GDP in the GDP/Energy factor since GDP is calculated with net import/export. For assessing CO2 emissions gross import/export would be more appropriate.)

Doug
July 24, 2014 5:54 am

Change in Kaya Identity of the world = change in Kaya Identity of Australia + change in Kaya Identity of France + change in Kaya Identity of Singapore + etc……
Since the area of these places can’t change, area is an irrelevant term in the change equation. And how CO2 production might change is the whole point of the discussion.

July 24, 2014 6:00 am

“What it says to me is that it doesn’t matter whether P, GDP or TE are changed, carbon emissions will stay the same.”
How does it say that?
C = P*(GDP/P)*(TE/GDP)*(C/TE)
Even if you cancel it all out, which makes no sense, you will have:
Before the change:
C1 = C1
After the change:
C2 = C2
C2 may be unknown this way, but it doesn’t equal C1, unless the carbon intensity (C/TE) changes exactly as much, to make C2 equal C1, in spite of the changes in P, GDP and TE.

Climate Heritic
July 24, 2014 6:07 am

Hundreds of comments on this Kaya identity, really.
Using the Kaya identity from Wikipedia and assuming that all the variables have the same units
The LHS of the Kaya identity can be represented as a fraction.
The RHS of the Kaya identity is just an equivalent fraction of the LHS
In other words the Kaya identity is useless.

Geckko
July 24, 2014 6:08 am

It is invariably people who are weak mathematicians who are drawn to such gobbledygook.
Why not just say the amount of carbon produced will be be higher for:
Larger populations
Higher output
Less efficiency use of energy and
The carbon intensity of the energy used
The pseudo-maths is a weak attempt to make it look more “sciency”.
However it just makes it look simply weak.
Note that Dr Pielke is an advocate for lower carbon emissions, because. Just because.

July 24, 2014 6:12 am

The primary factor in GDP disparity, is that all governments are not created equal.

Geckko
July 24, 2014 6:13 am

What this does remind me of is the basic national accounting identity in economics:
Y=C+G+I+X-M
Which of course is only an identity representing the equivalence of output and income (approximately simplified)
However mathematically or economically illiterate people treat it as as formula explaining how income is created and the relationship between different variable . It doesn’t

July 24, 2014 6:16 am

For all those who hate KAYA so much, here is some food for thought.
What KAYA (also) says is that to increase anthropogenic CO2 emissions, there are two important things you can do:
1) Replace all the new energy efficient technologies with older energy inefficient technologies. For example, in cement production, why use the dry process rotary kiln equiped with multi stage cyclone preheaters that uses only 3.0 GJ energy per tonne of clinker; if you might just as well use the wet kiln process that uses 7.0 GJ energy per tonne of clinker?
2) Only use fossil fuels as primary energy resources, ever. Under any circumstances do not, I repeat, do not use any primary energy resources such as uranium/thorium (nuclear) or renewables. Do not even consider investigating nuclear fusion as a possibility in a (far) future – its CO2 emissions (if any) would be far too low.
KAYA really does say that (too).

July 24, 2014 6:20 am

Scott Wilmott Bennett: “Take the time to relax, take a deep breath and think about what has been written.”
Done.
I’ll take your word for the fact that “a great deal of thought and research has been given to every line of its premises,” but the logic between those premises and your main point–whatever that is–is obscure.
If you’re saying that certain parameters, like energy per unit GDP, encompass a lot of factors that for good reasons differ among countries, that’s true; Dr. Brown and others have made that point well in another thread. If you thence conclude that the Kaya identity can be misused, well, yes, I think we’ve covered that.
What you added to the discussion–and what you emphasized–is land area. But your logic connecting its absence from the equation to whatever point you were trying to make remains obscure even after one has taken the time to “relax, take a deep breath and think about what has been written.”
Perhaps you could expand on why dividing by land area is so crucial.

Ted Clayton
July 24, 2014 6:34 am

The Kaya Identity appears to be intellectual toast, for a simple reason: It poses population – “Humans” – as a negotiable variable. It provides a plausible context in which to hold “people” culpable, simply because they exist.
Placing population “on the table” has been a goal of some, for quite some time. There are those who resent humans (who salivate at great tragedies that will eliminate them), and sit up late formulating contexts in which to place them on the bullseye.
This enterprise – to condemn people per se – is a bust because ‘the populace’ is already wise to it, and to the extent that the Kaya algebra serves as a wedge or foot in the door for it, it is too.

July 24, 2014 6:38 am

Scott,
Of course countries differ in their CO2 emissions per GDP! This is neither a new discovery nor a challenge to the Kaya Identity.
It is already very well known, and acknowledged by Pielke. He calls the reason a difference in technology, but I and (I think) most economists would call it a difference in economic structure. Land area is only one of many differences among Australia, Singapore, and other countries that lead to different economic structures.
When countries like Australia and Singapore produce their GDP in different ways, they have different levels of energy use per unit of GDP, and they gain their energy from different sources with different CO2 emissions. As I replied to you yesterday (7:22 a.m., right after you posted these same thoughts during the Pielke conversation),

… no one denies that the values of the ratios in the Kaya Identity may differ for different countries. It is not meant to be ‘universally applied’ in the sense that bothers you. It is not a scientific law with universal constants — and no one claims that it is.

Have I understood your difficulty with the Kaya Identity? I think that I have, but perhaps not.
I hope that we can wind up this thread quickly without wading into the swamps of incomprehension that made the last three threads on this topic so frustrating.

July 24, 2014 6:41 am

Joe Born says: July 24, 2014 at 6:20 am
Perhaps you could expand on why dividing by land area is so crucial.
Including “land area” would simply give the following identity/equation:
CO2 = L * P/L ¨GDP/P * E/GDP * CO2/E; where L = land area (km²) and (P/L) would be population density (population per km²). In other words, one symply replaces “population” in the original KAYA by “land area” times “population density”.
Given that:
a) Kaya originally interpreted P as global population, GDP as world GDP etc, it seems to me L should be interpreted as Earth’s total land mass
b) humans have a huge impact on the Earth’s total land mass
I would conclude, very crucial indeed.

July 24, 2014 6:44 am

Some corrections
“symply” is “simply”
b) I addes (/sarc) somewhere, but that got lost in translation

Jim Clarke
July 24, 2014 6:46 am

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.

Roberto
July 24, 2014 6:51 am

The devil here is in the assumptions. What this identity seems to accomplish is to nail everybody’s attention to carbon. It is tantalizing enough to make that carbon seem really, really important. Let’s drop everything else and reduce that carbon, because that’s the obvious puzzle. That’s what we are all staring at.
But real life is nearly always about a mix of goals, not just one fixation. Not just improving things short-term, but also long-term,and so on. It is common for different aspects to pull in different directions.
OK, this is one aspect. But why are we forgetting about the other aspects?

July 24, 2014 6:52 am

Jim Clarke says: July 24, 2014 at 6:46 am
That is by far the wisest I have read in all the threads on the KAYA identity / equation.
It is your post that deserves to be a blog post, and really, all discussions should end there.

Daniel G.
July 24, 2014 6:57 am

This doesn’t seem to be problem. co2 3x less, gdp 5x less.
co2’/gdp’ = (co2/3) / (gdp/5) = co2/gdp * 5/3 = co2/gdp * 1.67
So what is the matter? You are focusing too much on absolute quantities.

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.

That is not very good ratio, emissions to GDP. I’m sorry to say that.

Daniel G.
July 24, 2014 6:58 am

The Kaya identity begins with the assumption that CO2 emissions MUST be reduced.

See above, if you want to increase co2 emissions, it is fine as well.

July 24, 2014 7:00 am

Willis uses the identity in every argument he makes
About carbon policy and the poor. He just never uses
It explicitly.

Gary
July 24, 2014 7:01 am

Dial back, the commas, partner, they are, not really, needed in, all those many places, where you put them. It makes, your article, somewhat, difficult, to read, by making it, jolting, and halting, and blocky, to the reader. Thank, you. (grammar n@zi strikes again! lol)

Daniel G.
July 24, 2014 7:02 am

An simple analysis aided by Kaya Identity shows that if it is wanted for co2 emissions to be decreased, there is just one (hypothetically) reliable way: using less co2 intense energy. If co2 were a problem, and renewables actually worked, there doesn’t seem to be a major obstacle for a policy to be effective.