Is the spatial organization of larger water bodies heterogeneous?

Abstract

The intuitive argument is that the spatial organization of larger water bodies is more heterogeneous than that of smaller water bodies. To validate this argument, a section containing a large number of water bodies was distributed according to size by following a multiscale opening transformation. A self-similar iterated bisecting process was followed to observe the probability distribution (division rate) pattern of all the size distributed water bodies. These observed probability distributions conformed well to that of the values computed from a binomial multiplicative process. Hence, f- f multifractal spectra were constructed for all the distributed sections containing water bodies of different sizes, and it was found that the degree of heterogeneity in the spatial organization increased with the increasing size category of the water bodies, as the estimated generalized information dimensions from spectra are in an increasing order.