While it doesn't totally answer your questions about amount of seed dispersed, you may find Muller-Landau et al 2008 Interspecific variation in primary seed dispersal in a tropical forest J Ecol DOI: 10.1111/j.1365-2745.2008.01399.x
useful (or you may have read it).
These authors used tree characteristics such as seed mass and tree height of both wind and animal dispersed seeds as predictors of dispersal distance. They found that in frugiferous trees height did explain some of the variation. They agreed this was hard to explain but thought perhaps it was due to different animal species foraging at different heights in the canopy.
Tree height and DBH have been correlated with canopy size and, by association, annual fruit production. Birds remove similar % of fruit regardless of tree size, so the bigger the canopy, the more fruit that will be removed and dispersed.