Given a few years, softwoods (pines - fast growing) will grow, then hardwoods (oak/hickory - slow growing) will begin to appear in abundance. Hardwoods are more valuable, but softwoods grow quickly and have less market value.
https://en.wikipedia.org/wiki/Secondary_forest
https://en.wikipedia.org/wiki/Old-growth_forest
I think the term you were looking for was a "climax community."