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The Convexity of Hilltops
Open accessAbstract
In a maturely developed topography, hilltops composed of unconsolidated materials are upwardly convex in profile. Their forms are thus contrasted with the longitudinal profiles of stream beds, which in mature development are concave upward. An explanation of the river profile offered by the writer more than thirty years ago2 seems to have been generally accepted. Its fundamental principles are (i) that the transporting power of a stream per unit of volume increases with the volume, (z) that transporting power increases with the slope, and 3) that a stream automatically adjusts slope to volume in such way as to equalize its work of transportation in different parts.
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Citations
Cited by
A detachment‐limited model of drainage basin evolution
Howard, A. D. (1994) · Water Resources Research · doi:10.1029/94wr00757 · Cited by 1,255
The soil production function and landscape equilibrium
Heimsath, A. M., Dietrich, W. E., Nishiizumi, K., & Finkel, R. C. (1997) · Nature · doi:10.1038/41056 · Cited by 897
Roering, J. J., Kirchner, J. W., & Dietrich, W. E. (1999) · Water Resources Research · doi:10.1029/1998wr900090 · Cited by 705
A process‐based model for colluvial soil depth and shallow landsliding using digital elevation data
Dietrich, W. E., Reiss, R., Hsu, M., & Montgomery, D. R. (1995) · Hydrological Processes · doi:10.1002/hyp.3360090311 · Cited by 667
A coupled channel network growth and hillslope evolution model: 1. Theory
Willgoose, G., Bras, R. L., & Rodriguez‐Iturbe, I. (1991) · Water Resources Research · doi:10.1029/91wr00935 · Cited by 665
Metadata
- Authors
- Gilbert, G. K.
- Venue
- The Journal of Geology
- Publisher
- University of Chicago Press
- Published
- 1909-05
- Volume
- 17
- Issue
- 4
- Pages
- 344-350
- ISSN
- 0022-1376 (ISSN-L)
- 1537-5269
- OpenAlex
- W2047078616
- Cited by
- 323
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- diamond
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