Fractal analyses of individual cloud droplet distributions using aircr
aft measurements along one-dimensional horizontal cross sections throu
gh clouds are performed. Box counting and cluster analyses are used to
determine spatial scales of inhomogeneity of cloud droplet spacing. T
hese analyses reveal that droplet spatial distributions do not exhibit
a fractal behavior. A high variability in local droplet concentration
in cloud volumes undergoing mixing was found. In these regions, thin
filaments of cloudy air with droplet concentrations close to those obs
erved in cloud cores were found. Results suggest that these filaments
may be anisotropic. Additional box counting analyses performed for var
ious classes of cloud droplet diameters indicate that large and small
droplets are similarly distributed, except for the larger characterist
ic spacing of large droplets. A cloud-clear air interface defined by a
certain threshold of total droplet count (TDC) was investigated. Ther
e are indications that this interface is a convoluted surface of a fra
ctal nature, at least in actively developing cumuliform clouds. In con
trast, TDC in the cloud interior does not have fractal or multifractal
properties. Finally a random Canter set (RCS) was introduced as a mod
el of a fractal process with an ill-defined internal scale. A uniform
measure associated with the RCS after several generations was introduc
ed to simulate the TDC records. Comparison of the model with real TDC
records indicates similar properties of both types of data series.