Scaling properties of topologically random channel networks
The analysis deals with the scaling properties of infinite topologically random channel networks (ITRNs) fast introduced by Shreve (1967, J. Geol., 75: 179–186) to model the branching structure of rivers as a random process. The expected configuration of ITRNs displays scaling behaviour only asympto...
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| Veröffentlicht in: | Journal of hydrology (Amsterdam) 1996-12, Vol.187 (1), p.183-193 |
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| container_title | Journal of hydrology (Amsterdam) |
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| creator | Agnese, Carmelo D'Asaro, Francesco Grossi, Giovanna Rosso, Renzo |
| description | The analysis deals with the scaling properties of infinite topologically random channel networks (ITRNs) fast introduced by Shreve (1967,
J. Geol., 75: 179–186) to model the branching structure of rivers as a random process. The expected configuration of ITRNs displays scaling behaviour only asymptotically, when the ruler (or ‘yardstick’) length is reduced to a very small extent. The random model can also reproduce scaling behaviour at larger ruler lengths if network magnitude and diameter are functionally related according to a reported deterministic rule. This indicates that subsets of rrRNs can be scaling and, although rrRNs are asymptotically plane-filling due to the law of large numbers, scaling ITRNs can also display fractional dimension. |
| doi_str_mv | 10.1016/S0022-1694(96)03095-8 |
| format | Article |
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| ispartof | Journal of hydrology (Amsterdam), 1996-12, Vol.187 (1), p.183-193 |
| issn | 0022-1694 1879-2707 |
| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Freshwater mathematics and statistics natural resources water management water resources |
| title | Scaling properties of topologically random channel networks |
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