Recent advances in instrument design have enabled scientists to observe
and measure properties of the atmosphere at finer temporal and spatial
scales. Studies have shown that it can be necessary to understand the
interactions and processes of the atmosphere on a single particle basis
to make models that reliably simulate nature on the larger spatial and
temporal scales that concern us in our daily lives and in the political
arena. Unfortunately, many of the standard techniques used for
continuous or large-scale phenomena are not applicable when the discrete
nature of atmospheric particulates matter. This book reviews and
develops methods to statistically describe atmospheric particulates
(aerosols, cloud droplets, and precipitation) in environments where
their discreteness cannot be neglected. The study may help guide those
who attempt to parameterize micro-physical processes in a bias-free way
so that extrapolation to macroscopic phenomena is less flawed. This
study could also be of use to anyone who is trying to gain a
quantitative grasp on how the details of microphysical spatial
distributions can matter in everyday phenomena like rain or sunlight
transmission through clouds.