How can I prevent so much water collecting in the bottom of our refrigerator?

I'll bet a quarter inch collects there every day, in a puddle beneath the vegetable crispers. I suppose it must be condensation. We lay a couple of thicknesses of towels in the bottom of the fridge and they get soaked and have to be wrung out every day. Since we're on the Gulf Coast where there is high humidity, maybe it has something to do with that ... but we haven't always had this problem. I tried turning the Cold setting up a couple of notches but it hasn't seemed to help. Any ideas or solutions?