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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Rodney
July 11, 2014 3:03 am

I think the problem is that people have been using the wrong equation. They really need to be using the modified Kayla equation that goes like this:
P = M * (B / M) * (P / B)
where
P = Number of puppies that die each year.
M = The amount of money you earn each year that you don’t donate to me.
B = Number of times you disagree with me in this blog.

pheonix7
July 11, 2014 3:13 am

As long as we are into differentiation we can use the modified Kayla equation I wrote above to compute the rate of change of puppy deaths relative to the money that you don’t donate to me.
I believe it goes like this:
dP/dM = (dB /dM) * (dP / dB)
where as before
P = Number of puppies that die each year.
M = The amount of money you earn each year that you don’t donate to me.
B = Number of times you disagree with me in this blog.
Now it’s all sophisticated like you’ll all believe me right?

Edit_XYZ
July 11, 2014 3:16 am

John West
“C = PSEF”
Lol.
As already said: tons CO2 = persons * $GDP / person * GJ / $GDP * tons CO2 / GJ reduces to tons CO2 = tons CO2.
You can christen any fraction here with P, G, E, D, or the name of your first child (or P, S, E, F) – none of this changes the fact that the ‘identity’ trivially reduces to CO2 = CO2 (or C = C), showing no influence of another quantity on CO2.
Instead of population, GDP and energy, you can put in the tautology ANY known and unknown concept that can exist in this universe and can get a numerical value.
Let me guess – in your world, the ‘identity’ shows that all of these concepts inflence CO2, yes, John West?
What a bad joke.
Such elementary concepts are clear to a first grader; but we are supposed to believe they are beyond your ability to grasp.
Much more likelly, your posts reveal you for what you are: a true believer that doesn’t let facts or logic get in the way of his ideology.

Rdcii
July 11, 2014 3:38 am

Bjorn from Sweden…nothing I said agrees or disagrees with your reply. I saw people arguing about the original equation as if the parts were variables instead of units. You seem very clear that the elements of the original equation were units, not variables.
Excellent. My attempt at clarification was clearly not for you. But you do understand that others have not achieved your clarity about the original equation, because many explanations haven’t been clear? And that your argument that the units aren’t useful requires other people besides you to have a clear understanding that those are units, not variables, in the first place? So, if I’m trying to clarify, in your favor, a necessary preface for your argument, why are you taking any issue with my posting?

urederra
July 11, 2014 3:44 am

Zeke says:
July 10, 2014 at 10:32 am
I notice the social sciences have arrived to the level of chemistry. Popper warned about that a long time ago.

There is no need to insult chemists or chemistry as a science.
What I think it is insulting is the term “social sciences” It is like “military music” in Marx´s famous quote.

Pete Brown
July 11, 2014 3:55 am

richardscourtney says:
July 10, 2014 at 11:19 pm

Richard, I know I am going to regret this but, to address your post:
“It is a political tool provided by a political organisation for political purposes.”
No, not quite. As I have explained, it is a policy tool. It is not in itself political. It doesn’t get to vote. It isn’t a registered member of a political party. And like any good light saber, it can be used equally for good or evil.
As I also have said, you should not just disagree with something simply because you think it disagrees with you, or could be used by people who disagree with you. You have to engage with the substance…
“The equation is nonsense. It links independent variables to form abstract constructs which only indicate political desires. I am astonished that this is not blatantly obvious to everyone.”
“The abstract constructs are NOT “factors” which combine to be CO2 emissions.
For example, what evidence is there that in any nation a significant factor to CO2 emissions is GDP per capita?”
Just the whole body of economics really, since about the time just after economics started to about now. Seriously, you cannot be suggesting that the industrial revolution for example, wasn’t a bit fueled by, well, fuel? In my opinion, and in the opinions of quite a lot of people, if you were to take carbon-based fuels out of the economy right now, that would have a devastating effect on the economy. The economy (GDP) would collapse, and our ability to generate wealth (GDP per head) would collapse. The theory goes that since CO2 emissions are a by-product of economic activity, throttling economic productivity will reduce CO2 emissions other things (i.e. the other three ‘factors’) being equal. Conversely, economic growth (i.e. increasing GDP, which corresponds with increasing GDP per head if population is fixed) will entail increasing emissions, other things (i.e. the other three ‘factors’) being equal.
To put the point another way, if you seriously think we can de-couple CO2 emissions and economic productivity then you really need to tell us how – because that would absolutely be the holy grail…!!
This is the point of the Kaya identity. It is intended to illustrate that if you seriously want to reduce CO2 emissions in an economy then you either have to reduce the population, or reduce the wealth of the population, or increase the CO2 efficiency of energy generation, or increase the energy efficiency of economic activity. This strikes me as pretty much a logical truism, which again is very much what the identity is intended to show. As I have said several times though, if you disagree that any one or more of these four factors has the effect that is implied by the Kaya identity, please tell us which and why? Better still, if you think there are other factors that are not already covered under these four heads, and have presumably eluded policy makers for the last 40 years, please tell us…
By the way, I am not advocating reducing the population before anybody else gets silly about that. In fact I’m not advocating anything – except perhaps that people should do some research before launching in (Willis Eschenbach).
“You have NOT addressed my thesis that the equation is and can only be a tool for propounding political propaganda.”
Yes I have, many many many times: Please see Prof Roger Pielke Jr…!
I’ll add this: there are people in the world who think that reducing CO2 emissions is just a matter of political will, or that we already have the means to do it. The Kaya identity can help us to illustrate that this is not the case; that if you really want to reduce CO2 emissions then you either have to have some serious technological advances up your sleeve to make our lives and economic activities more CO2 efficient (and that’s not going to be windmills), or you have to be prepared to put people into the most gut-wrenching poverty, cripple our economies and ways of life, and, frankly, end peoples lives prematurely. Those who are quick to accept this as the price of reducing CO2 emissions – especially given the actual state of the science upon which this is based – are really, really, really scary…

July 11, 2014 4:02 am

My poor old iPad Original is struggling with this long post and one finger typing, is not making for good communication. I think this post deserves a new separate thread. I’ve just spent several hours getting my “poor old” brain around the Kaya e-quack-tion and I now have lots more to say 😉
Most of it concerning, how a relation is not an equation and why a Kaya relation ≠ an Einstein equation/intelligence * intelligence.
Economics is the propaganda of central banks. It is politics badly disguised as something rigorous! It is the ‘scientifical’ masquerading as the scientific.

Edit_XYZ
July 11, 2014 4:06 am

Pete Brown
“This is the point of the Kaya identity. It is intended to illustrate that if you seriously want to reduce CO2 emissions in an economy then you either have to reduce the population, or reduce the wealth of the population, or increase the CO2 efficiency of energy generation, or increase the energy efficiency of economic activity.”
The kaya identity is intended to PROPAGANDISE this. It proves nothing of the sort (and your ‘illustrate’ euphemism doesn’t change this in the least).
“This strikes me as pretty much a logical truism, which again is very much what the identity is intended to show.”
Lol.
You need to prove your ‘logical truism’ in order for it to be science and not religious belief. Hint – simply saying it’s a ‘logical truism’ does not make it so.
As said:
Instead of population, GDP and energy, you can put in the ‘kaya identity’ tautology ANY known and unknown concept that can exist in this universe and can get a numerical value.
Let me guess – in your world, it’s a ‘logical truism’ that all of these concepts inflence CO2, yes, Pete Brown?
What a dishonest joke.

Pete Brown
July 11, 2014 4:11 am

Juice says:
July 10, 2014 at 7:04 pm
….
You’ve read two blogs and still haven’t found enlightenment? That’s almost hard to imagine…

Daniel G.
July 11, 2014 4:14 am

Instead of population, GDP and energy, you can put in the ‘kaya identity’ tautology ANY known and unknown concept that can exist in this universe and can get a numerical value.

But the Kaya identity use meaningful ratios, your arbitrary tautologies don’t. The same can be said M&Ms identity.

John West
July 11, 2014 4:17 am

Edit_XYZ asks:
“in your world, the ‘identity’ shows that all of these concepts inflence CO2, yes, John West?”
No, in my world (reality) the “identity” expresses a relationship of variables that influence CO2 emissions. It is a simple UNIT expression. It simply states that if you wish to change anthropogenic CO2 emissions (which I would rather we increase) then you have to change population, standard of living, production efficiency, fuel emission intensity, or some combination thereof. Of course it was written by people who wish to control these very variables and they seem to have “forgotten” a few that could be there. There is no land use changes variable for example. So, there’s plenty to criticize with respect to this “identity” but the fact that it reduces to X=X is not one of them. That’s how/why algebra works!
FYI: I’m the President and Founder of Tropics from Pole to Pole Society of NC.
Also, do you not realize that with a few pounds of each fuel used one could determine CO2 Emissions / Unit of Electricity Generated in a lab or with a pilot study? Therefore, the “CO2 Emissions” on the right side of the equation is not necessarily the same as the “CO2 Emissions” on the left side of the equation.

Pete Brown
July 11, 2014 4:19 am

Edit_XYZ says:
July 11, 2014 at 4:06 am

Try putting some of it in bold – trust me it’ll make your point more compelling.

Daniel G.
July 11, 2014 4:20 am

If you didn’t mean it quite like that then a change in ‘Population’ is canceled out by the corresponding inverse change in ‘GDP/Population’ and likewise for any variable you wish to change.

Co2 is the result variable, by other variables staying constant, i mean the control variables.

Björn from Sweden
July 11, 2014 4:23 am

Rdcii says:
July 11, 2014 at 3:38 am “So, if I’m trying to clarify, in your favor, a necessary preface for your argument, why are you taking any issue with my posting?”
– I didnt know i did!

Daniel G.
July 11, 2014 4:24 am

The paper uses a technical shorthand that some find distasteful, but it is a shorthand that can’t be ignored and is obvious considering the english used.

Edit_XYZ
July 11, 2014 4:39 am

John West
“It simply states that if you wish to change anthropogenic CO2 emissions (which I would rather we increase) then you have to change population, standard of living, production efficiency, fuel emission intensity, or some combination thereof.”
It states nothing of the sort. You can increase a trillion times the population, GDP, energy or you can decrease them a trillion times – and the tautology still reduces to CO2=CO2.
“No, in my world (reality) the “identity” expresses a relationship of variables that influence CO2 emissions.”
If in your world the tautology shows that your ideologically chosen variables influence the CO2 emissions, then in your world ANY known and unknown concept that can exist in this universe and can get a numerical value inflences CO2 emissions.
That’s because you can put them in the tautology in place of population, GDP and energy.
And I know that, like any true believer, you think your fantasy world to be the reality.
Well, ‘A casual stroll through the lunatic asylum shows that faith does not prove anything’, John West.
“Therefore, the “CO2 Emissions” on the right side of the equation is not necessarily the same as the “CO2 Emissions” on the left side of the equation.”
You already redundantly proved that you, John West, cannot do simple multiplications and divisions – which inevitably, trivially reduce the kaya identity to CO2=CO2.
But, if you feel that you must continue to prove your mathematical analphabetism – by all means, do so.
“I’m the President and Founder of Tropics from Pole to Pole Society of NC.”
What is amusing here is that you think a good idea to name the organisation you’re president of – in the same thread in which you have proven your lack of even elementary mathematical competence.
You must be a fan of the ‘Any publicity is good publicity’ dictum.

Daniel G.
July 11, 2014 4:47 am

It is not hard to prove that Kaya identity is really identity, but it is just too obvious.
for the sake of demonstration, i will do the following:
write gdp per capita (gc) as the ratio of gdp/pop
write energy intensity (ei) of the economy as the ratio of energy/gdp
write co2 intensity (co2i) of energy as the ratio of co2/energy
Then:
pop * gc * ei * co2i = pop * (gdp/pop) * (energy/gdp) * (co2 / energy)
pop * gc * ei * co2i = gdp * (energy/gdp) * (co2 / energy) = energy * (co2 / energy)
co2 = pop * gc * ei * co2i (Kaya Identity)
1) the variables of the identity are the ratios and population.
2) the variables are quite independent of each other.
3) as the variables are ratios, the factorization is “linear”.
4) the actual relationship between co2 and a variable might be non-linear due to dependency, but that doesn’t disprove the Kaya identity.
5) Kaya identity is analogous to M&Ms identity.
6) The paper uses a technical shorthand, to use numerator/denominator symbols to represent a ratio variable.
7) The Kaya identity is useful for purposes explained in the comments above. (It is just an identity, so it isn’t that useful really, but it is a convenient description)
8) all the variables are meaningful, and they completely factor energy-related co2 emissions.

Daniel G.
July 11, 2014 4:49 am

If in your world the tautology shows that your ideologically chosen variables influence the CO2 emissions, then in your world ANY known and unknown concept that can exist in this universe and can get a numerical value inflences CO2 emissions.

You have to prove your ratio variables are meaningful.

Daniel G.
July 11, 2014 4:50 am

You already redundantly proved that you, John West, cannot do simple multiplications and divisions – which inevitably, trivially reduce the kaya identity to CO2=CO2.

Explain the M&Ms identity then.

July 11, 2014 4:58 am

Not yet read all the comments but:
The problem isn’t that the Kaya Identity is an Identity and so it reduces to CO2 = CO2.
The problem is that the four terms that cancel are chosen because the author (Kaya?) wants to talk about those terms:
• Population
• Energy
• GDP
• CO2 emissions
Why choose to limit the discussion to these terms? The author has their reasons but what are they and do we agree with them? And why?
Simplest illustration of the silliness of framing the argument in these terms only – there is no technological change.
Imagine a country that produces pig iron for export to generate its GDP. One day it switches to Gold (shiny, shiny gold). But it doesn’t produce as much gold so its GDP is unchanged. Suddenly its energy per GDP has reduced dramatically.
Is this what the Kaya Identity shows us?
No.
Innovation is dependent on education (GDP) and number of brains (population) and luck. The Kaya Identity excludes all other factors (such as random chance) and claims the factors they do include are independent. Innovation means that ain’t so.
So the problem isn’t that the Kaya Identity is an Identity.
The problem is that the Kaya Identity is a means of limiting thought and debate.

gnomish
July 11, 2014 5:00 am

technical shorthand? technical? no, shorthand? no. algebra? not much.
post normal skience babble? bingo.
and those who don’t grasp the nature of the kaya incantation must wonder why rorschach keeps showing photographs of their parents fighting…lol
5 boxes; how many cases is that, daniel? can’t do it, can you? useful formula?
it is totally awesomely useful – it belongs on the stanford-binet. like a pork sammich for sorting out infidels, it works gangbusters!

John West
July 11, 2014 5:01 am

Edit_XYZ says:
“you think a good idea to name the organisation you’re president of – in the same thread in which you have proven your lack of even elementary mathematical competence.”
ROTFLMAO
1) It’s not a real orginazation, it’s a joke. Read much?
2) I’ve devised new methods for solving ordinary differential equations and have made a decent living from mathematical competence for 20+ years. Assume much?
3) You are a troll.
4) Goodbye.

Daniel G.
July 11, 2014 5:03 am

gnomish still hasn’t told anyone what he means by a case.

pheonix7
July 11, 2014 5:03 am

John West – Also, do you not realize that with a few pounds of each fuel used one could determine CO2 Emissions / Unit of Electricity Generated in a lab or with a pilot study?
But this is not going to give you a single value for CO2 Emissions / Unit of Electricity Generated is it?
Each fuel (and for that matter each different electricity generator) will have a different value.
Also cows create CO2 without generating electricity. Likewise my car creates CO2 and it’s not an electricity generator (well only a little bit). And different cars create different amounts of CO2 per energy used.
So you need to include all sources of CO2.
Indeed in the Kala equation the term is C02emissions/Energy not C02emissions/electricity generated.
For the Kayla equation to be computable with a single C02emissions/Energy term it would have to use Average CO2emissions/ Average Energy used.
The problem is that with so many different sources of energy all with a different CO2/energy value – a virtual infinitude – you can’t really compute the Average CO2emissions/ Average Energy used without knowing the total CO2 and total energy used. And if you do know the total energy used (not that you will for reasons just given) then you don’t need the Kayla equation as you already know the value of the left hand term.
So the Kayla equation is still a useless tautology. It makes it sound like you know more than you really do.

Edit_XYZ
July 11, 2014 5:04 am

Daniel G.
“”If in your world the tautology shows that your ideologically chosen variables influence the CO2 emissions, then in your world ANY known and unknown concept that can exist in this universe and can get a numerical value inflences CO2 emissions.
That’s because you can put them in the tautology in place of population, GDP and energy.”
You have to prove your ratio variables are meaningful.”
Let me introduce you to an elementary rule of division (that first graders have no problem understanding): any number divided by itself gives as result 1.
This means that ANY known and unknown concept that can exist in this universe and can get a numerical value, when put in the kaya identity, being divided by itself, simplifies to 1. It does not matter whether the concept (variable) is meaningful or not.
That means that the kaya identity does NOT prove (does not show/illustrate/insert your euphemism) any link between ANY variable, meaningful or not, and CO2 emissions.
It merely PROPAGANDISES a link between your ideologically chosen concepts (variables/insert your synonym) and CO2 emissions, simply by writing them near each other.

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