There is a metal plate glassed into the deck, that the screws thread into. If they are the original bronze bolts (at least mine were held on by bronze bolts) they will be so corroded you will end up drilling them out. The best way to repair them, after you've drilled them out (I had to drill out thirty-six bolts) is to put a soda straw or something like it into the hole and pour thickened epoxy around the waxed straw. After it sets, you can remove the straw; when you install the new bolts, which ought to be SS, 316 if you can get it, you should put a little 3M 4200 on the ends of the bolts. I redid my bow rails this way, and we've had the rail off after that for a paint job, and no problems. And they don't leak, at least I don't THINK they do.
With regard to the photo, no one commented on the fact that in addition to the corroded bow rail, that boat also has a non-regulation life ring. This vessel is clearly not maintained to standard. A shame, really.