I've recently discovered the power of Quadtrees and Octrees and their role in culling/LOD applications, however I've been pondering on the implementations for a Dynamic Quad/Oct Tree.

Such tree would not require a complete rebuild when some of the underlying data changes (Vertex Data).

Would it be possible to create such a tree? What would that look like? Could someone point me in the correct direction to get started?

The application here would, in my scenario, be used for a dynamically changing spherical landscape with over 10,000,000 verticies. The use of Quad/Oct Trees is obvious for Culling & LOD as well as the benefits from not having to completely recompute the tree when the underlying data changes.