(I) Introduction
Under the impetus supplied by Horton (1945), the description of drainage basins and channel networks was transformed from a purely qualitative and deductive study to a rigorous quantitative science capable of providing hydrologists with numerical data of practical value. Horton's work was developed in detail by Strahler (1950, 1952, 1956, 1958) and his Columbia University associates (Melton, 1957; Morisawa, 1959; Schumm, 1956).
This section treats quantitative land-form analysis as it applies to normally developed watersheds in which running water and associated mass gravity movements, acting over long periods of time, are the chief agents in developing surface geometry. Emphasis is upon the geometry itself, rather than upon the dynamic processes of erosion and transportation which shape the forms.
(II) Basic Concepts
(A) Open Systems and Steady States.
Of fundamental importance is the concept of a drainage basin as an open system tending to achieve a steady...
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Notes
- 1.
[Modified from “Handbook of Applied Hydrology” edited by Ven Te Chow, Copyright © 1964 by McGraw-Hill, Inc. Used with permission of the Editor and McGraw-Hill Book Company.]
References
Broscoe, A. J., 1959, Quantitative analysis of longitudinal stream profiles of small watersheds, Project NR 389-042, Tech. Rept. 18, Columbia University, Dept. of Geology, ONR, Geography Branch, New York.
Chorley, R. J., 1957, Climate and morphometry, J. Geol., 65, 628–638.
Chorley, R. J., Malm, Donald, and Pogorzelski, H. A., 1957, A new standard for estimating drainage basin shape, Am. J. Sci., 255, 138–141.
Gilbert, G. K., 1877, Report on the geology of the Henry Mountains, U.S. Geographical and Geological Survey of the Rocky Mountain Region, Washington, D.C.
Hack, J. T., 1957, “Studies of longitudinal stream profiles in Virginia and Maryland, U.S. Geol. Surv. Prof. Paper 294-B.
Horton, R. E., 1945, Erosional development of streams and their drainage basins: hydrophysical approach to quantitative morphology, Bull. Geol. Soc. Am., 56, 275 370.
Leopold, L. B., and Maddock, Thomas, Jr., 1953, The hydraulic geometry of stream channels and some physiographic implications, U.S. Geol. Surv. Profess. Paper 252.
Leopold, L. B., and Miller, J. P., 1956, Ephemeral streams: hydraulic factors and their relation to the drainage net, U.S. Geol Surv. Profess. Paper 282-A.
Mackin, J. H., 1948, Concept of the graded river, Bull. Geol. Soc. Am., 59, 463 512.
Maner, S. B., 1958, Factors affecting sediment delivery rates in the Red Hills physiographic area, Trans. Am. Geophys. Union, 39, 669–675.
Melton, M. A., 1957, An analysis of the relations among elements of climate, surface properties, and geomorphology, Project NR 389-042, Tech. Rept. 11, Columbia University, Dept. of Geology, ONR, Geography Branch, New York.
Melton, M. A., 1958, Geometric properties of mature drainage systems and their representation in an E4 phase space, J. Geol., 66, 35–54.
Miller, J. P., 1958, High mountain streams: effects of geology on channel characteristics and bed material, New Mexico Bur. Mines Mineral Resources Mem., 4.
Miller, V. C., 1953, A quantitative geomorphic study of drainage basin characteristics in the Clinch Mountain area, Virginia and Tennessee, Project NR 389-042, Tech. Rept. 3, Columbia Univ., Dept. of Geology, ONR, Geography Branch, New York.
Morisawa, M. E., 1959, Relation of quantitative geomorphology to stream flow in representative watersheds of the Appalachian Plateau Province, Project NR 389 042, Tech. Rept. 20, Columbia University, Department of Geology, ONR, Geography Branch, New York.
Potter, W. D., 1953, Rainfall and topographic factors that affect runoff, Trans. Am. Geophys. Union, 34, 67–73.
Rubey, W. W., 1952, Geology and mineral resources of the Harding and Brussels Quadrangles. Illinois, U.S. Geol. Surv. Profess. Paper 218.
Schumm, S., 1954, “The relation of drainage basin relief to sediment loss”, Intern. Union Geodesy Geophys., Tenth Gen. Assembly (Rome), Intern. Assoc. Sci. Hydrol. Publ. 36, 1, 216–219.
Schumm, S. A., 1956, Evolution of drainage basins and slopes in badlands at Perth Amboy, New Jersey, Bull. Geol. Soc. Am., 67, 597–646.
Strahler, A. N., 1950, Equilibrium theory of erosional slopes approached by frequency distribution analysis, Am. J. Sci., 248, 673–696, 800–814.
Strahler, A. N., 1952, Dynamic basis of geomorphology, Bull. Geol. Soc. Am., 63, 923–938.
Strahler, A. N., 1956, Quantitative slope analysis, Bull. Geol. Soc. Am., 67, 571–596.
Strahler, A. N., 1958, Dimensional analysis applied to fluvially eroded landforms, Bull. Geol. Soc. Am., 69, 279–300.
Strahler, A. N., 1964, Quantitative geology of drainage basins and channel networks, in (Chow, V. T. editor). Handbook of Applied Hydrology, 4, 39–76, McGraw-Hill Book Co.
Taylor, A. B., and Schwartz, H. E., 1952, Unit-hydrography lag and peak flow related to basin characteristics, Trans. Am. Geophys. Union, 33, 235–246.
Yatsu, Eiju, 1955, On the longitudinal profile of the graded river, Trans. Am. Geophys. Union, 36, 655–663.
Cross-references
Altimetric Frequency Curve; Badlands; Base Level; Drainage Basin; Dynamic Geomorphology; Grade, Graded Stream; Hypsometric Analysis; Interfluve; Law of Declivities, etc.; Monadnock; Nickpoint; Open Systems—Allometric Growth; Profile of Equilibrium; Rivers; Sheet Erosion, Sheetwash, Rainwash, Sheetflood; Slopes; Stream Channel Characteristics; Stream Orders; Surell's Laws; Texture—Topographic; Thalweg; Watershed; Youth—Maturity—Old Age.
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Strahler, A.N. (1968). Quantitative geomorphology . In: Geomorphology. Encyclopedia of Earth Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31060-6_304
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