He also, elsewhere, is at pains to point out that what he is measuring are not causations. He repeats that multiple times..
Perhaps he does my lucky dip reading didn't pick that up (perhaps you have a reference handy?) - it looks to me as if he also makes a pretty bald claim of causation. Maybe he's just a bit confused as to what exactly he's saying?
Besides which, nothing that it could subsequently claim would invalidate the original analysis that shows that access to abortion is undoubtledly a statistically significant predictor of crime rate. That is what you were taking issue with before.
Well I suppose figures revealing that there was no correlation between crime rates and abortion rates 18 years earlier would tend to invalidate that claim (which is what the website linked to by Idris2002 suggests).
What I was taking issue with was not - as you say - the ability of 'access to abortion' to predict crime (I know little of criminology and have none of the figures to hand). It was the incredible thinness of the case - he had found a correlation and almost without bothering with much else he decided that that would do, thank you and good night.
You say that he analyses the various "ratings factors", yet what he actually does is take the various news-media stories and arrange them by popularity (ie number of stories). Well - that the news-media is bullshit on crime might come into play on that one. I'm also intriguied straight away for example by why there would be no similar pathway of "unwantedness of child" = 'increased likelihood of criminality' effect by the almost universal introduction of the contraceptive pill about 15 years before Roe v Wade and questions like that (in fact that massive reduction in conceptions seems to have co-incided with the huge growth in crime during the 70s and 80s, the reduction in which Levitt claims to have explained via legalised abortion). Never mind the total absence of anything relating to relative-poverty (degrees of wealth differentials - which also have fantastic correlations with violent crime in the US). And so on and so on. He either doesn't know about this stuff, or he just ignored it.
To be clear; I'm not saying the theory is wrong, it's just that it's so thin. I was left intrigued by the evidence but totally unconvinced and fairly sceptical about someone who was so ready to sound off so loudly in public on such a flimsy foundation.
And especially when this is hailed as terribly daring "iconoclasm" etc. Looks more like highly effective hype to me, to me his publishers PR dept come out of the exercise far better than he does.