JoshuaZ comments on [Link]: Anthropic shadow, or the dark dusk of disaster - Less Wrong Discussion
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And this has been done. We have good records of impact levels on the Moon, Mars and Jupiter (although Jupiter is a little weird). It doesn't look like there's heavy anthropic bias there.
Ćirković, Sandberg & Bostrom refer to these briefly in the paper, but seem to think they're not adequate or as relevant:
Citation?
I don't have a citation for this, more a general familiarity with the literature on the subject, and that no one has ever said "hey it looks like we should have seen a lot more impacts on Earth than we've apparently gotten" or anything similar.
Wouldn't this be a (weak, since humans have lots of reasons) piece of evidence that people see the same pattern of collision sizes on earth as on e.g. the moon?
Yes, and that's the point: that suggests that there's little anthropic bias at work here. A heavy anthropic bias would be if we didn't see the same collision patterns.
This paper seems to have some useful data. I'd be happier with a table of crater sizes and ages that I could plug into Octave and fit a regression to, but so far I haven't been able to come up with any decent-sized datasets.
ETA: The Lunar Impact Crater Database could probably do it, if you feel like doing some messy conversion.