I do... and despite being able to do the relative math in my head I actually did do the work and the numbers came out to exactly what I thought. The way this conversation is going I doubt showing you my math would help, so why don't you show me yours? The one where you calculate how it grows from the 2% for a PHEV20 in the study to something relevant in a 85kWh Tesla.
Go.
I think JRP3 has demonstrated in the past that he's pretty fair, so I think it's a bit hasty to assume that your math won't help.
Furthermore, I think it's useful to be able to answer the question of how bad BEV production is for the environment. Folks like Petersen have been throwing out various numbers. We criticize many of the assumptions, but I haven't generally seen us produce a realistic quantitative response. JRP3 is quite right to point out that the "2%" from the study is not very well applicable to the Model S battery.
The linked study asserts that the Nissan Leaf battery will cost 500% more energy to produce than the batter that they studied (which I think is 6X, no?). Model S battery is 3.5X the capacity of the Leaf battery, so does that mean Model S batter costs 21X energy to produce than the study battery?
At 21X, battery construction is not negligible. That would mean 30% of Model S energy consumption over 160k miles is related to battery construction, and that a typical Volt driver causes much fewer CO2 emissions than a Model S driver.
Conversely, if we look at weight instead of energy capacity, we might get a number closer to 8X than 21X. 8X the 2% (= 14%?) is still not exactly negligible, but it's relatively small.
The paper also concedes that battery chemistry is important to the calculation. Is the Tesla chemistry better or worse for the environment that the study's battery chemistry?
Lastly, what is the environmental cost of producing an ICE? Surely that's not free. How much carbon dioxide is saved from not having to make a 200 kg engine?
(I'd love to also pick on the environmental implications of lead acid batteries in ICEs, but it seems that EVs have similar 12V batteries.)