Hi James:
I'm not aware of any studies off the top of my head; however, I have never conducted a literature review on this topic. I'm sure there are some data out there on this topic.
Based on personal experience in east-central Illinois floodplains, I can tell you that I've experienced both great success and dismal failure with direct seeding hardmast tree species (oak, hickory, walnut, and Kentucky coffeetree).
Overall, I'm a firm believer in direct seeding simply because successful direct seeding practices are cheaper to install and one can easily end up with 1000-2200 seedlings per acre (based on an initial planting density of 3000 seeds/acre).
The keys to successful direct seeding practices are (1) Site preparation, (2) More site preparation, (3) Planting a lot of quality seed, and (4) Grass and broadleaf weed control.