Short communication: Quantitative spatial analysis of randomly situated surface water bodies through f-αspectra

Abstract

A notable similarity is observed between the probability distributions obtained from a data set that contains a large number of randomly situated surface water bodies and the probability distributions estimated by binomial multiplicative process. From these well conformed probability distributions, the generalised information dimensions have been computed through f-α spectra to characterise and quantify the spatial organisation of the surface water bodies. It is noticed from the investigated case study that the results tend to vary by changing the direction of bisecting process. The experimental results on spatial distribution of surface water bodies of the study area qualify that the computed generalised information dimensions for the vertical bisecting is rather uniform than that of the horizontal bisecting process.