[thwiv]

I mean, it could be that child abduction is falling because the media warns parents and they all keep better watch of their children.

[dragonwriter]

It could be, though it was falling for a couple decades before the media attention started driving the widespread belief that it was increasing, and the behavior changed that resulted from that belief.

[mrguyorama]

There's also the fact that children are typically hurt by people they know, not strangers

[thousandautumns]

Again, its hard to separate that phenomenon from potentially confounding effects. Is the fact that children are typically hurt by people they know the result of parents being reluctant to let their kids out on the street by themselves, thereby limiting the opportunities for potential strangers to harm them?

[dragonwriter]

Again, the effect precedes the behavior change, so is unlikely to be a result of it.