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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richardscourtney
July 27, 2014 8:15 am

John West:
re your questions to me at July 27, 2014 at 8:07 am.
I answer,
yes, yes and yes.
None of those predicted effects has clearly occurred throughout the time when measurements have been possible.
And I add that absence of an unambiguously predicted effect is conclusive falsification however much supporting evidence exists.
Richard
PS Please ensure that any future post you make indicates its relevance to the subject of the thread because I think you are still trolling.

JPeden
July 27, 2014 10:43 am

Scott Wilmot Bennett says:
July 26, 2014 at 7:14 am
“A distinct lack of concern for the climate is apparent in comparisons of economies that ignore emissions as a percentage of the globe, either by land area or total contribution!”
No, a distinct lack of concern for the principles of real science and the well being of Humanity is patently obvious in the Beliefs of those who preach the CO2 emission Apocalypse!

John West
July 27, 2014 11:09 am

richardscourtney says:
”Please ensure that any future post you make indicates its relevance to the subject of the thread”
Sir Yes Sir!
The thread posits the addition of land area to the Kaya Identity which I pointed out was irrelevant since the Kaya Identity endeavors to identify and relate policy effectible variables to CO2 emissions and land area isn’t significantly policy effectible. At some point the contention was made basically that ‘IF there’s no evidence for AGW THEN the Kaya Identity is merely warmist propaganda (I believe the first word used was actually Caca) to which I agreed but wished to qualify the word evidence with convincing such that it would be: IF there’s no convincing evidence for AGW THEN the Kaya Identity is warmist propaganda. The discussion rapidly degraded into ‘is to/is not’ that really is completely beside the point. I can’t tell you how many times I’ve said (cried, screamed, yelled, etc.) ‘Evidence of warming is not evidence of Anthropogenic Warming’ and it’s not, but then again it is to a lot of people. It’s that kind of mindset we have to convince and IMHO we’re not going to do it by giving ammunition to those that want to paint us as “the D word”. We could still lose this war. We win by gaining converts from the undecided/uncommitted and IMHO this requires a humbly uncertain tone of language. Are you really willing to bet the farm that there’s no evidence for the tropical tropospheric hotspot, polar warming amplification, stratospheric cooling concurrent with tropospheric warming, or an increase in downward IR concurrent with a decrease in outgoing IR?

July 27, 2014 11:12 am

Seems to me a lot of fuss about nothing. If the terms represent something useful for the sake of policy, what’s the beef. The tautology bit is meaningless as they’re figuring the CHANGE in carbon.
I’m sure there are programmers here who know what this means:
x = x + 1
Impossible? Nope. Just shows the change in x as you iterate through a loop where x defines both the beginning and the end of the loop.

gregjxn
July 27, 2014 1:41 pm

Regarding tautologies and meaningful formulas, for a simple example, look at the common formula cited by TimC:
distance = rate * time
The tautological view would apply to a question such as:
A man travels 100 miles in 2 hours. How far did the man travel? Well, we can work it out as rate = 100miles/2hours = 50miles/hour. Therefore, the man traveled distance = 2 hours * 50miles/hour = 100miles. Tautological and not much there. But suppose we know he sometimes went 45miles/hour and sometimes 75miles/hour and many other rates. Then we could chop the time up into intervals in which the rate is constant and compute in the traditional way:
x = r * t
dx = rdt + tdr
By definition, dr = 0 as the chopped intervals have the same rate
dx = rdt
x = ʃr(t)dt
Voila, a tautology becomes a meaningful formula.

July 27, 2014 3:27 pm

John West says:
Yes we’re on the same page on the big picture.
Then that is what matters.
Nitpicking whether or not the tropo hot spot appeared as predicted or not can easily turn into an interminable argument. Even though satellite and radiosonde balloon data show conclusively that the hot spot never appeared as predicted, some will always argue that it did. Same with all the other bits of empirical evidence that destroy the runaway global warming scare. You will never convince some people.
But you don’t have to. You only need to convince the undecideds in the middle. That is best done using the big picture: global warming has stopped. None of the alarmist predictions have happened. They were wrong. All of them.
If you argue every time a wild-eyed alarmist true believer raises an argument, you will never see the end of it. It is enough that global warming has stopped. They were wrong. End of story. Case closed.
Now go forth, and preach the truth.

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