Do mixed-species mixed-size indigenous forests also follow the self-thinning line?

In a new paper, Enquist and Niklas show that trees in indigenous forests have a diameter-frequency distribution that has a slope of −2. Thus, these trees also follow the well-known self-thinning line. The authors suggest that this typical inverse-J demographic pattern is to be expected from the scaling consequences of the fractal internal supply networks of xylem, operating in a milieu of allocation optima. Thus, forest biomass is set by local resource supply, and size-class transitions are set by the greater efficiency of larger trees. Do these patterns, conditions and explanations apply to trees and forests in general?