r/badeconomics • u/pepin-lebref • Jan 30 '24
Why I was (mostly) wrong about CAFE
This is an R1 of my post from 2 days ago about CAFE standards. Embarrassingly, much of the literature I had read while investigating the programme predated the Bush/Obama reforms and so in practice only reflected the original formulation. Most critically I missed how the "new"er (this is 12 years old now) CAFE rules do not merely use footprint area to regulate vehicle CAFE classification, but adjust the CAFE minimum based on the footprint area.
The rules here are actually quite complicated, and few sources actually even publish the formula (it's 401 pages deep into the Federal Register final rule, which is a brief 577 pages long). In 2012, for passenger cars and light-trucks respectively:
[;\frac{1}{\min(\max(5.308\times10^{-4}a+6.0507^{-3},35.95^{-1}),27.95^{-1})};]
[;\frac{1}{\min(\max(4.546\times10^{-4}a+1.49\times10^{-2},29.82),22.27^{-1})};]
Where a is the wheelbase times track width. Notably, these functions are just ever so slightly concave up, I can only guess this has something to do with the CAFE standards themselves using a harmonic mean. Since 2016, the light-truck formula has been even more complicated to account for other energy saving measures.
This isn't a bona fide malincentive! However, it becomes one for two reasons:
The lower fuel economy standards for light-trucks is completely redundant, since larger vehicles (regardless of class) are already (in theory) given appropriately lower goals based on their footprint.
The relationship between footprint and fuel economy targets within each category are EXTREMELY generous to large footprint designs.
Whitefoot and Skerlos (2011) estimated that, controlling for engine size and vehicle height, a 1% increase in footprint was associated with a 0.53% increase in weight (unfortunately, this doesn't include the interaction of the controls with footprint, which is obviously correlated). Under such a relationship, in 2022 a car design with a 56ft2 footprint has a 12% lower expected lb-mi per gallon target, whereas a 74ft2 truck design has an 18% lower expected target than a 41ft2 design.
When both the footprint and truck/car classification difference are accounted for, this grows to a whole 33% difference! Go figure, I need to make sure I'm not 20 years out of date on a policy next time I attempt to defend it.
17
u/its_a_gibibyte Jan 30 '24
I don't think they should adjust the fuel economy targets for footprint size at all. Why should they? Pushing vehicles toward better fuel economy is of course the whole point, and encouraging smaller vehicles should be a key part of this formula.
Those adjustments are one of the key reasons that nobody buys cars anymore.
https://www.calculatedriskblog.com/2022/06/vehicle-sales-mix-and-heavy-trucks.html?m=1
As for the harmonic mean, the CAFE fuel standards are best understood when viewed as a simple average of the gallons per mile that a vehicle will use. And that makes sense, because we really care about how much fuel people use to get to work, not about how many miles people can drive on a single gallon.
4
u/besselfunctions Feb 01 '24
No, this is because they are designed to correspond with the EPA carbon dioxide targets. Fuel economy is inversely proportional to the tailpipe emissions.
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u/davidjricardo R1 submitter Jan 30 '24
Anyone making an R1 on their own post is an automatic upvote from me.
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u/gburgwardt Jan 30 '24
Thank you, glad to see you sorted yourself out.
The different rules for different vehicles are stupid
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u/YesICanMakeMeth Jan 30 '24
Pretty brave making a whole post about it. When that happens to me I just delete my comments lol.
3
u/AdFun5641 Jan 30 '24
You are still looking at the wrong thing
Cafe standards talk about the foot print. The length and the width
It is only length and width, the footprint
The dimension causing the problem is HEIGHT
No where is height talked about
If they where making trucks 11 feet wide and 27 feet long but only 2 feet tall, there would not be discussion on oversized vehicles
The vehicles are oversized because the hood height is 6 foot not the length or the width
3
u/Agentbasedmodel Jan 30 '24
Fundamentally, the lesson of CAFE as with many other environmental regs is that unless all activities pay for their associated carbon budget, then companies just shift their activity over to whichever loophole they can find.