Direct imaging of settling, non-Brownian, hard sphere, particles allows mea
surement of particle occupancy statistics as a function of time and samplin
g volume dimension. Initially random relative particle number fluctuations,
<N-2 - <N > (2)>/<N > = 1,become suppressed, anisotropic, and <N > depende
nt. Fitting to a simple Gaussian pair correlation model suggests a minute l
one ranged correlation leads to strong if not complete suppression of numbe
r fluctuations. Calflisch and Luke predict a divergence in velocity fluctua
tions with increasing sample volume size based on random (Poisson) statisti
cs. Our results suggest this is not a valid assumption for settling particl
es.