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A. Strahler (1952)
Hypsometric (area-altitude) analysis of erosional topography.Geological Society of America Bulletin, 63
(1991)
A physically based coupled network growth and hillslope evolution model , 1 , Theory
(1995)
Self-similarity in the three-dimensional geomorphology and dynamics of large river basins
I. Rodríguez‐Iturbe, E. Ijjász-Vásquez, R. Bras, D. Tarboton (1992)
Power law distributions of discharge mass and energy in river basinsWater Resources Research, 28
G. Moglen (1995)
Simulation of observed topography using a physically-based basin evolution model
Tao Sun, Tao Sun, Paul Meakin, Paul Meakin, T. Jøssang, T. Jøssang (1994)
Minimum energy dissipation model for river basin geometry.Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49 6
T. Sun, P. Meakin, T. Jøssang (1994)
The topography of optimal drainage basinsWater Resources Research, 30
Horton Horton (1945)
Erosional development of streams and their drainage basins: Hydrological approach to quantitative geomorphologyBull. Geol. Soc. Am., 56
G. Willgoose, R. Bras, I. Rodríguez‐Iturbe (1991)
A physical explanation of an observed link area‐slope relationshipWater Resources Research, 27
(1997)
The Ashley River channel network study: Channel network simulation models compared with data from the Ashley River
H. Vries, T. Becker, B. Eckhardt (1994)
Power law distribution of discharge in ideal networksWater Resources Research, 30
R. Ibbitt, G. Willgoose, M. Duncan (1999)
Channel network simulation models compared with data from the Ashley River, New ZealandWater Resources Research, 35
A. Scheidegger (1968)
Horton's Law of Stream NumbersWater Resources Research, 4
G. Willgoose, R. Bras, I. Rodríguez‐Iturbe (1991)
A coupled channel network growth and hillslope evolution model: 1. TheoryWater Resources Research, 27
R. Shreve (1966)
Statistical Law of Stream NumbersThe Journal of Geology, 74
(1997)
The Ashley River channel network study : Channel network simulation models compared with data from the Ashley River , New Zealand
P. Barbera, G. Roth (1994)
Invariance and scaling properties in the distributions of contributing area and energy in drainage basinsHydrological Processes, 8
(1997)
The hydro-geomorphic modelling of sub-surface saturation excess runoff generation
G. Willgoose (1994)
A physical explanation for an observed area‐slope‐elevation relationship for catchments with declining reliefWater Resources Research, 30
J. Kirchner (1993)
Statistical inevitability of Horton's laws and the apparent randomness of stream channel networksGeology, 21
(1997)
Experimental testing of the SIBERIA landscape evolution model
Inaoka, Takayasu (1993)
Water erosion as a fractal growth process.Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47 2
G. Willgoose (1989)
A physically based channel network and catchment evolution model
G. Willgoose, R. Bras, I. Rodríguez‐Iturbe (1989)
Modelling of the Erosional Impacts of Landuse Change: A New Approach Using a Physically Based Catchment Evolution Model
D. Tarboton (1989)
The analysis of river basins and channel networks using digital terrain data
R. Horton (1945)
EROSIONAL DEVELOPMENT OF STREAMS AND THEIR DRAINAGE BASINS; HYDROPHYSICAL APPROACH TO QUANTITATIVE MORPHOLOGYGeological Society of America Bulletin, 56
E. Tokunaga (1978)
Consideration on the composition of drainage networks and their evolutionGeographical reports of Tokyo Metropolitan University
D. Tarboton (1996)
Fractal river networks, Horton's laws and Tokunaga cyclicityJournal of Hydrology, 187
T. Sun, T. Sun, P. Meakin, P. Meakin, T. Jøssang, T. Jøssang (1994)
A minimum energy dissipation model for drainage basins that explicitly differentiates between channel networks and hillslopesPhysica A-statistical Mechanics and Its Applications, 210
D. Tarboton, R. Bras, I. Rodríguez‐Iturbe (1992)
A Physical Basis for Drainage DensityGeomorphology, 5
A physical explanation for the behavior of the cumulative area distribution (CAD) based on the Tokunaga channel network model is given. The CAD is divided into three regions. The first region, for small areas, is dependent on hillslope flow accumulation patterns and represents the catchment average of the hillslope flow accumulation in the diffusive erosion‐dominated areas, upstream reaches, of the catchment. The second region represents that portion of the catchment dominated by fluvial erosion. This region is well described by a log‐log linear power law, which results from the scaling properties of the channel network. The scale exponent, ϕ, is highly sensitive to a parameter of the Tokunaga stream numbering scheme. The exponent ϕ converges to −0.5 for higher order Tokunaga networks for parameters consistent with topological random networks. Small networks have lower values of ϕ, which asymptotic converges to ϕ=−0.5 as the catchment scale increase. The third region reflects the lowest reaches of the channel network, the scale of the catchment, and is a boundary effect. An explicit analytical solution to the scaling properties in the second region is derived on the basis of the Tokunaga network model.
Water Resources Research – Wiley
Published: May 1, 1998
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