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Discrete Dynamics in Nature and Society
Volume 2, Issue 2, Pages 77-92
http://dx.doi.org/10.1155/S1026022698000065

Morphometric relations of fractal-skeletal based channel network model

Centre for Remote Sensing & Information Systems, Department of Geo Engineering, Andhra University, Visakhapatnam 530 003, India

Received 20 February 1997; Revised 29 August 1997

Copyright © 1998 Hindawi Publishing Corporation. 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.

Abstract

A fractal-skeletal based channel network (F-SCN) model is proposed. Four regular sided initiator-basins are transformed as second order fractal basins by following a specific generating mechanism with non-random rule. The morphological skeletons, hereafter referred to as channel networks, are extracted from these fractal basins. The morphometric and fractal relationships of these F-SCNs are shown. The fractal dimensions of these fractal basins, channel networks, and main channel lengths (computed through box counting method) are compared with those of estimated length–area measures. Certain morphometric order ratios to show fractal relations are also highlighted.