An interesting thing happened with an anthology I recently submitted to, the one with the disaster theme. Apparently, they got such a flood of submissions, the editor and publisher decided to make it a three book series, with the possibility of a fourth. Each edition would contain 9 to 12 stories. First of all, assuming that quantity in this case equals quality (and there is no guarantee that it does), that's great that the publisher would make a committment like that, and it definitely increases the number of stories that will get accepted, which increases my chances.
The only down side is time. Things will take longer. Three times the number of stories will have to be accepted, three tables of contents will have to be put together, publication dates will have to be set for the second and third books, each of which will likely come out staggered 8 to 12 months after the previous one. So my story could get accepted and then not come out for another two years potentially. No way would I complain except my recent history says that small presses tend to go out of business during that time frame. But let's look on the bright side! The deadline for submissions is the end of this month, so I figure acceptances will hopefully start going out end of May. Then the sky's the limit!