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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Mark Bofill
July 24, 2014 7:03 am

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.

Dr. Pielke (Jr) uses this tool a lot. I don’t think this characterization fits him at all.
Just sayin.

Daniel G.
July 24, 2014 7:17 am

b) humans have a huge impact on the Earth’s total land mass

Why mass??? Help me, I’m not all-knowing.
Shouldn’t you be saying humans have an impact on area? (which seems weird)

Jim Clarke
July 24, 2014 7:22 am

I would like to add that arguing over the arithmetic and/or the terms of the identity actual gives credence to its use in the policy process. In effect, we are saying: “This identity needs something to be a little different…then it will be okay to use it as you see fit.” NO! Even if you transform it into the most beautiful and eloquent mathematical representation ever, it will still be counterproductive in attempting to make good policy decisions. It’s as if someone wants to use a wood chopping ax to perform open heart surgery and we are arguing over whether the handle is made from the right kind of material and if the blade is sharp enough!

Pamela Gray
July 24, 2014 7:23 am

This seems rather 1st grade to me to say that all that country’s CO2 emitting activity equals that country’s total CO2. To me that is a “duh” moment. To then rank the solutions in a simple ordinal way is also 1st grade math and would be useless as a metric towards mitigation policy related to any warming attributed to CO2.
Higher order ordinality would be to compare total CO2 emissions by dividing by per capita statistics. I use “per capita” as a general term here. It simply means per square mile, per person, per vehicle, per employed person, etc.
So it seems to me that only the first half of the math problem has been done and is therefore pretty useless unless further presented on a per capita basis.
That said, one must always question one’s analysis of such things before buying a pig in a poke. And that question is this: Is this solution significantly important? Therein lies the difference between watermelons and skeptics.

Bernard Lodge
July 24, 2014 7:25 am

The Happiness Identity
The Kaya Identity is intended to show that you should reduce energy, GDP and population so as to reduce human CO2 emissions.
Emissions = C02 content x Energy per x GDP per x Population
of energy Unit of GDP person
C02 Energy GDP
C02 = ——— x ———- x ——— x Population
Energy GDP Population
The premise of course is that ‘C02 emissions are bad’ therefore they should be minimized.
Personally, I find that energy, GDP and people actually make me happy. Obviously, happiness is a good thing so I propose that the Kaya Identity be replaced with the ‘Happiness Identity’ as follows …
Happiness Energy GDP
Happiness = ——— x ———- x ——— x Population
Energy GDP Population
Clearly, we should maximize energy, GDP and Population so as to maximize global happiness. Who could possibly argue with that!

Bernard Lodge
July 24, 2014 7:29 am

Apologies for the formatting problems – I’ll try again!

Daniel G.
July 24, 2014 7:31 am

Clearly, we should maximize energy, GDP and Population so as to maximize global happiness. Who could possibly argue with that!

You probably are just joking, but if this is intended to be a critical satire of Kaya Identity, you’re not doing it right.
While ridiculous, your Happiness Identity is not wholly bizarre. (considering your personal preferences)

July 24, 2014 7:32 am

Johan: “I would conclude, very crucial indeed.”
I appreciate the input. However, even if I were not, well, skeptical of your premise that “humans have a huge impact on the Earth’s total land mass,” I’m not sure how that premise makes dividing by land mass crucial.
Of course, I’m rather misinterpreting your use of “huge impact on the Earth’s total land mass.” Of course humans have massively transformed their environment–to their vast benefit. But the effect that has had on the quantity Mr. Bennett proposes to divide by has not been great.

July 24, 2014 7:34 am

Daniel G. says: July 24, 2014 at 7:17 am
Shouldn’t you be saying humans have an impact on area? (which seems weird)
You’re right, Daniel, I should have said “Earth’s total surface area”. (blame it on the fact that English is not my native language).
And although you can say that humans have a noticeable impact on the landscape, I do not think they have that much impact in terms of square kilometres or square miles. (I was being sarcastic, or at least, I tried to be). In other words, I do not think that “land area” is an important driving force, since there seems to be very little humans can do about that.

Dan in Nevada
July 24, 2014 7:35 am

Brock Way says: July 24, 2014 at 5:50 am
“If anyone lost some superfluous commas, I think they can be found above.”
Are you, accusing the, author of randomly, sprinkling, commas in weird, places for, no apparent reason? The, commas are to make it, more readable, you, shouldn’t be, so judgmental.

Bernard Lodge
July 24, 2014 7:38 am

The Happiness Identity
The Kaya Identity is intended to show that you should reduce energy, GDP and population so as to reduce human CO2 emissions.
CO2 Emissions = C02 content of energy x Energy per unit of GDP x GDP per Person x Population
or
C02 = (CO2/Energy) * (Energy/GDP) * (GDP/Pop) * Population
The premise of course is that ‘C02 emissions are bad’ therefore they should be minimized.
Personally, I find that energy, GDP and people actually make me happy. Obviously, happiness is a good thing so I propose that the Kaya Identity be replaced with the ‘Happiness Identity’ as follows:
Happiness = (Happiness/Energy) * (Energy/GDP) * (GDP/Pop) * Population
Clearly, we should maximize energy, GDP and Population so as to maximize global happiness. Who could possibly argue with that!

July 24, 2014 7:41 am

Joe Born says: July 24, 2014 at 7:32 am
Joe, as I explained to Daniel G above: a) I should have said “surface area”, but b) more importantly, it was a feeble attempt to be sarcastic towards Scott Bennett, not you (of course humans cannot change Earth’s surface area in noticeable quantities). Unfortunately, the “(/sarc”) remark I added didn’t show in my post.
Believe me, I do not think one should include “land area” in the KAYA identity / equation. And as you so correctly pointed out, if one is interested in CO2 emissions per km², one should simply divide total CO2 emission of a country / region by that country’s / region’s land area.

Mark Bofill
July 24, 2014 7:41 am

Hey, for my part, when Willis first highlighted the Kaya Identity, I didn’t understand what I was looking at and I’ll freely admit it looked silly to me. I get it now, to the extent that I care to get it. If Pielke Jr. thinks it’s useful, that’s his business as far as I’m concerned. I’m an amateur who spends enough time already trying to follow climate science, I’m not particularly interested in second guessing Pielke Jr..
Just my thoughts.

Daniel G.
July 24, 2014 7:44 am

In other words, I do not think that “land area” is an important driving force, since there seems to be very little humans can do about that.

Well, the opposite is the point made by the blog poster.
His presentation of the topic makes me skeptical. (you might want to see my comments above)

Alan Robertson
July 24, 2014 7:49 am

JJ says:
July 24, 2014 at 5:19 am
“OYG WUWT’s experiment in communal embarrassment continues. Each post inexplicably more asinine than the last.”
_________________
Not a bad effort from a no- name drive- by troll. Not bad at all.

Alan McIntire
July 24, 2014 7:49 am

The “Kaya identity “is obviously an incorrect formula. It assumes changes in CO2 levels are due soley to humans, ignoring the geological history of changes in CO2, either increasing or decreasing over aeons. Even with all energy nuclear, producing that extra energy would affect earth’s temperature and weather patterns, which in turn would affect plant life and their effects as sources or sinks of CO2.
The equation should read something like
CO2 = K1*GNP + K2*(additional natural or manmade sources of CO2) – K3(additional or manmade sinks of Co2).
The above “land area” argument would fall into that K2 and K3 portions of the equation.

Scott Wilmot Bennett
July 24, 2014 7:55 am

Joe Born says:
July 24, 2014 at 6:20 am
Comparing economises directly, in relation to global climate, is absurd without considering the surface area of that very globe, out of which those economies are derived.
Are you making the case that Australia’s resources based economy is divorced from the extent of its resources? 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 did not read very carefully, because the example of Singapore was a test of the Kaya against reality. Every term is smaller and the result is not the product of the terms as given by the Kaya but something unexpected. Every single factor is lower for Singapore, yet it produces more CO2 per dollar than Australia.
If my example does not falsify the assumptions of the Kaya for you, nothing in the real world will.

July 24, 2014 7:55 am

“The Kaya identity was developed by Japanese energy economist Yoichi Kaya.[1] It is the subject of his book Environment, Energy, and Economy: strategies for sustainability co-authored with Keiichi Yokobori as the output of the Conference on Global Environment, Energy, and Economic Development (1993 : Tokyo, Japan).” Wiki
There is a lot of gullible nonsense coming up in this and previous threads that relates to Roger Jr’s innocence on this matter. There is no question that it has been adopted by IPCC and that it has both a simple and a sinister purpose. The Malthusian, seemingly motherhood-type, feel-good statement “sustainability” identifies it as a tool for what we know the UN is all about. The term “Identity” gives it a clear authoritative ring that everyone can be happy with A=A and the products that can come out of it are therefore “noncontroversial”. These are patient guys. They’ve slipped the nice-neighborly-thing-to-do Agenda 21 into virtually every country and state and it sits there like a virus.
JPS says:
July 24, 2014 at 4:13 am
“why is everyone trying to make this so complicated??? the Kaya Identity is simply a way for laymen to understand some of the real world variables associated with anthropogenic CO2 emissions.”
Yes it is a nice fluffy think isn’t it. Population is the main factor that appears to need manipulation.
Mark Stoval (@MarkStoval) says:
July 24, 2014 at 5:08 am
“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.”
You got it! Fortunately, collectivists don’t have a very savory resume and their past projects are a good indication of where they want to go.
JJ says:
July 24, 2014 at 5:19 am
“OYG WUWT’s experiment in communal embarrassment continues. Each post inexplicably more asinine than the last.”
JJ’s part of the “Group (think)” It’s exasperating and tough to try to put a ring in the nose of a group like this.
Geckko says:
July 24, 2014 at 6:08 am
“It is invariably people who are weak mathematicians who are drawn to such gobbledygook.”
And strong mathematicians look only at the surface of the relation – this is not innocent arithmetic.
Ted Clayton says:
July 24, 2014 at 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.”
Ted gets it.
Jim Clarke says:
July 24, 2014 at 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. ”
Jim this is Kaya in a nutshell. Like Agenda 21, it is an insidious patient virus that we will inflict on ourselves in time. Meanwhile, lets teach the children to think like this. Forget the math!! This is a shaping tool.

AlexS
July 24, 2014 8:06 am

“the Kaya Identity is simply a way for laymen to understand some of the real world variables associated with anthropogenic CO2 emissions.”
Kaya indentity is fraudulent because we don’t know how to distinguish anthropogenic emissions, neither we can measure them reliably.

Tim Huck
July 24, 2014 8:15 am

The Kaya Identity is the period at the end of the “The science is settled.” statement. It is there to allow the Team to roll their eyes and look askance at any and all who question AGW. This is their trump card because they can sell this to fools and not feel foolish themselves.
I heard the same type of statement in poli-sci… “All change comes from the government.” and felt the same queasiness in my stomach when I saw the Kaya identity. Just giving it a name is enough to show how much the pro AGW team has invested in it.
The only upside is that it will serve as a litmus test for team membership and is already.

Daniel G.
July 24, 2014 8:18 am

You did not read very carefully, because the example of Singapore was a test of the Kaya against reality. Every term is smaller and the result is not the product of the terms as given by the Kaya but something unexpected. Every single factor is lower for Singapore, yet it produces more CO2 per dollar than Australia.

Nothing unexpected. The terms in the kaya identity are RATIOS (not absolute quantities) and population, the result is energy-related co2 emissions, not co2 per GDP.

Daniel G.
July 24, 2014 8:21 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.

earwig42
July 24, 2014 8:25 am

Jim Clarke says:
July 24, 2014 at 6:46 am
“The Kaya identity begins with the assumption that CO2 emissions MUST be reduced”
Carbon dioxide is the breath of life for the earth. If anything it MUST be increased.
All the above arguments are just wasted time and missed opportunities. I regret the time I have put into the subject.
One of the very worst uses of time is to do something very well that need not to be done at all.”
― Brian Tracy,
The Global Warming mongers don’t even do that something very well.

July 24, 2014 8:30 am

Daniel G. says: July 24, 2014 at 7:44 am
Well, the opposite is the point made by the blog poster. His presentation of the topic makes me skeptical. (you might want to see my comments above)
I agree.
If I understand the original blog poster correctly, he seems to think that “CO2 emissions per unit of GDP” is the better indicator, and that somehow there is a “deep connection” between a country’s GDP and its land area. Now, in principle, there could be some connection between GDP and the natural resources a country has at its disposal (which in turn could be somewhat connected to its land area in terms of likelood of having the required resources). But when looking at the GDPs and land areas of Russia and Japan … if there is such a connection, it must be obfuscated by a lot of other factors.
Anyway, following the original poster’s ideas, the SCOTT BENNETT IDENTITY would be:
CO2/GDP = (L/GDP) * (P/L) * (GDP/P) * (E/GDP) * (CO2/E)
where L = land area (km²), (L/GDP) is land area per unit of GDP; (P/L) is population per unit of land area; (GDP/P) is GDP per capita; (E/GDP) is energy intensity; and (CO2/E) is CO2 emissions per unit of energy.
Well, if he thinks that “land area per unit of GDP”, or for that matter, its reciprocal (GDP per unit of land area) is something than policies can change, he should let us know how !

Daniel G.
July 24, 2014 8:42 am

i think the reason Singapore emits so much co2 with respect to the energy used, is that their emissions have significant non-energetic factors.