White oak (Quercas alba) acorns have lower tannin levels than red oak (Quercas rubra) acorns, therefore animals tend to eat the white oak acorns before red oak acorns. Animals such as squirrels and blue jays will often catch red oak acorns for later consumption when the tannin levels have lessened or when food sources are scarce. Since red oak acorns are more likely to be hauled off, cached, and forgotten about wouldn't this cause red oaks to be more widely dispersed than white oaks? By this I mean that white oak trees would be spaced closer together than red oaks.
Source 1: https://www.allianceforthebay.org/2017/09/the-complicated-relationship-between-acorns-and-animals/
Source 2: https://link.springer.com/chapter/10.1007/978-1-4419-0378-5_6?no-access=true