Discrete Dynamics in Nature and Society
Volume 6 (2001), Issue 3, Pages 213-217

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

B. S. Daya Sagar1,2

1Centre for Remote Sensing and Information Systems, Department of Geo Engineering, Andhra University, Visakhapatnam 530 003, India
2Centre for Remote Imaging, Sensing, Processing (CRISP), Faculty of Science, The National University of Singapore, Lower Kent Ridge Road, Singapore 119260, Singapore

Received 13 April 2000

Copyright © 2001 B. S. Daya Sagar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.