We've tried other models than the paid app -- for instance a free app that is advertising based. Went nowhere ($0.30 a month from ads.) It was unexpectedly features by a "free apps" service/site recently and had a massive boost in downloads-- 10k a day for a few days- so we'll see if that does anything. It was meant to be an experiment to see what a free, well designed app of limited functionality would do in the market. Other than those big boost days its not getting as many downloads as the paid app- and I think that's simply a factor of it not having as many ratings or the continuous stream of ratings that the older app is getting.
Every quarter right now Apple is selling more iOS devices than the total addressable market was at the time our oldest app was originally released.
We're getting a smaller proportion of that market, but the tide is rising so fast that we're still earning income from it.