I think if those interested search for Dr. Andrew Jones and read his pattern work, they'll learn alot. Jones shows there is always going to be annular rings of pellets surrounding a hot core.
In a general sense, the exponential increase in recoil and stock damage is counterbalanced by poor(thin, unuseable) patterns as speed goes up. Recoil growing by the square of velocity as it were.

Out there doing it best I can.