Fractal dimension of non-network space of a catchment basin
We provide a topologically viable model that is geomorphologically realistic from the point of its Hortonity and general allometric scaling laws. To illustrate this, we consider a fractal binary basin, generated in such a way that it follows certain postulates, and decompose it into various coded to...
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| Format: | Article |
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2004
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| Online Access: | http://shdl.mmu.edu.my/2483/ |
| _version_ | 1848790066619482112 |
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| author | Sagar, B. S. Daya |
| author_facet | Sagar, B. S. Daya |
| author_sort | Sagar, B. S. Daya |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | We provide a topologically viable model that is geomorphologically realistic from the point of its Hortonity and general allometric scaling laws. To illustrate this, we consider a fractal binary basin, generated in such a way that it follows certain postulates, and decompose it into various coded topologically prominent regions the union of which is defined as geomorphologically realistic Fractal-DEM. We derive two unique topological networks from this Hortonian fractal DEM based on which we derive allometric power-law relationships among the basic measures of decomposed sub-basins of all orders ranging from omega = 1 to omega = Omega. Our results are in good accord with optimal channel networks and natural river basins. |
| first_indexed | 2025-11-14T18:06:42Z |
| format | Article |
| id | mmu-2483 |
| institution | Multimedia University |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:06:42Z |
| publishDate | 2004 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-24832011-08-22T02:07:22Z http://shdl.mmu.edu.my/2483/ Fractal dimension of non-network space of a catchment basin Sagar, B. S. Daya QE Geology We provide a topologically viable model that is geomorphologically realistic from the point of its Hortonity and general allometric scaling laws. To illustrate this, we consider a fractal binary basin, generated in such a way that it follows certain postulates, and decompose it into various coded topologically prominent regions the union of which is defined as geomorphologically realistic Fractal-DEM. We derive two unique topological networks from this Hortonian fractal DEM based on which we derive allometric power-law relationships among the basic measures of decomposed sub-basins of all orders ranging from omega = 1 to omega = Omega. Our results are in good accord with optimal channel networks and natural river basins. 2004-03 Article NonPeerReviewed Sagar, B. S. Daya (2004) Fractal dimension of non-network space of a catchment basin. Geophysical Research Letters, 31 (12). L06501. ISSN 0094-8276 http://dx.doi.org/10.1029/2004GL019749 doi:10.1029/2004GL019749 doi:10.1029/2004GL019749 |
| spellingShingle | QE Geology Sagar, B. S. Daya Fractal dimension of non-network space of a catchment basin |
| title | Fractal dimension of non-network space of a catchment basin |
| title_full | Fractal dimension of non-network space of a catchment basin |
| title_fullStr | Fractal dimension of non-network space of a catchment basin |
| title_full_unstemmed | Fractal dimension of non-network space of a catchment basin |
| title_short | Fractal dimension of non-network space of a catchment basin |
| title_sort | fractal dimension of non-network space of a catchment basin |
| topic | QE Geology |
| url | http://shdl.mmu.edu.my/2483/ http://shdl.mmu.edu.my/2483/ http://shdl.mmu.edu.my/2483/ |