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References (17)
-
G. Willgoose, R. Bras, I. Rodríguez‐Iturbe (1990)
A model of river basin evolutionEos, Transactions American Geophysical Union, 71
-
J. Hack (1960)
Interpretation of erosional topography in humid temperate regions.American Journal of Science, 258
-
G. Gilbert (1909)
The Convexity of HilltopsThe Journal of Geology, 17
-
D. Montgomery, W. Dietrich (1989)
Source areas, drainage density, and channel initiationWater Resources Research, 25
-
A. Calver (1978)
Modelling drainage headwater development, 3
-
Willgoose Willgoose, Bras Bras, Rodriguez‐Iturbe Rodriguez‐Iturbe (1990)
A model of river basin evolutionEos Trans. AGU, 71
-
J. Hack (1957)
Studies of longitudinal stream profiles in Virginia and Maryland -
G. Willgoose, R. Bras, I. Rodríguez‐Iturbe (1991)
A coupled channel network growth and hillslope evolution model: 2. Nondimensionalization and applicationsWater Resources Research, 27
-
P. Patton, S. Schumm (1975)
Gully Erosion, Northwestern Colorado: A Threshold PhenomenonGeology, 3
-
G. Willgoose (1989)
A physically based channel network and catchment evolution model -
D. Tarboton (1989)
The analysis of river basins and channel networks using digital terrain data -
V. Gupta, E. Waymire (1983)
On the formulation of an analytical approach to hydrologic response and similarity at the basin scaleJournal of Hydrology, 65
-
D. Tarboton, R. Bras, I. Rodríguez‐Iturbe (1989)
Scaling and Elevation in River NetworksWater Resources Research, 25
-
G. Willgoose, R. Bras, I. Rodríguez‐Iturbe (1991)
A coupled channel network growth and hillslope evolution model: 1. TheoryWater Resources Research, 27
-
R. Shreve (1974)
Variation of mainstream length with basin area in river networksWater Resources Research, 10
-
J. Flint (1974)
Stream gradient as a function of order, magnitude, and dischargeWater Resources Research, 10
-
R. Shreve (1966)
Statistical Law of Stream NumbersThe Journal of Geology, 74
- Publisher
- Wiley
- Copyright
- Copyright © 1991 by the American Geophysical Union.
- ISSN
- 0043-1397
- eISSN
- 1944-7973
- DOI
- 10.1029/91WR00937
- Publisher site
- See Article on Publisher Site
Abstract
An observed log‐log linear relationship between channel slope and contributing area is explained by the erosional physics that lead to catchment form. It is postulated that tectonic uplift is in balance with the fluvial erosion down wasting that dominates catchment erosion, and it is shown that this relationship results in the observed log‐log linear relationship at dynamic equilibrium. In addition, it has been observed that there are deviations from this log‐log linear relationship near the catchment divide, with observed slopes being lower than those predicted from the relationship. This is explained by noting that for small areas, fluvial erosion effects are dominated by soil creep and rain splash, modeled by diffusive physics. The area at which this deviation from log‐log linearity occurs is that point on the hillslope at which diffusive physics, like soil creep and rain splash, begin to dominate fluvial erosion. These predictions are confirmed by numerical simulations using a catchment evolution model.
Journal
Water Resources Research – Wiley
Published: Jul 1, 1991