And shouldn't CO2 levels closely track various aspects of weather?
Shoud they? Weather is basically temperature + precipitation + wind + humidity. Off the top of my head I don't see any reasons why different weather should imply different CO2 concentrations.
I was actually thinking more along the lines of opening windows; you only want your windows open in a fairly narrow band of temperatures, and things like precipitation would also encourage people to seal their houses or apartments or offices up and presumably increase carbon dioxide levels. But yeah, there are probably direct effects from light levels and barometric pressure and other things.
One or two research groups have published work on carbon dioxide and cognition. The state of the published literature is confusing.
Here is one paper on the topic. The authors investigate a proprietary cognitive benchmark, and experimentally manipulate carbon dioxide levels (without affecting other measures of air quality). They find implausibly large effects from increased carbon dioxide concentrations.
If the reported effects are real and the suggested interpretation is correct, I think it would be a big deal. To put this in perspective, carbon dioxide concentrations in my room vary between 500 and 1500 ppm depending on whether I open the windows. The experiment reports on cognitive effects for moving from 600 and 1000 ppm, and finds significant effects compared to interindividual differences.
I haven't spent much time looking into this (maybe 30 minutes, and another 30 minutes to write this post). I expect that if we spent some time looking into indoor CO2 we could have a much better sense of what was going on, by some combination of better literature review, discussion with experts, looking into the benchmark they used, and just generally thinking about it.
So, here's a proposal:
Some clarifications:
(Thanks to Andrew Critch for mentioning these results to me and Jessica Taylor for lending me a CO2 monitor so that I could see variability in indoor CO2 levels. I apologize for deliberately not doing my homework on this post.)