I have the same issue, i have a lidar based height model for the canopy for a forests, primary height information is what i'm interested in.
I also have a polygon shape file divided by species, establishment date and its also divided into a gridded pattern (1hectars), my goal is to sample the average height for all lidar cells which falls 50%or more under each polygon and add it to the shape file table.
So far I've only been able to sample on a single or multiple point locations, not for areas, is there a tool which allows the average height to be sampled from an polygon (area)
Daniel