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A. Strahler (1952)
Hypsometric (area-altitude) analysis of erosional topography.Geological Society of America Bulletin, 63
Strahler Strahler (1957)
Quantitative analysis of watershed geomorphologyTrans. Am. Geophys. Union, 33
Taylor Taylor, Schwarz Schwarz (1952)
Unit hydrograph lag and peak flow related to basin characteristicsTrans. Am. Geophys. Union, 33
P. Potter (1957)
A Quantitative Geomorphic Study of Drainage Basin Characteristics in the Clinch Mountain Area, Virginia and Tennessee. V. C. MillerThe Journal of Geology, 65
Strahler Strahler (1952)
Hypsometric (area‐altitude) analysis of erosional topographyBull. Geol. Soc. Am., 63
Strahler Strahler (1952)
Dynamic basis of geomorphologyBull. Geol. Soc. Am., 63
Schumm Schumm (1956)
Evolution of drainage systems and slopes in badlands at Perth Amboy, N. J.Bull. Geol. Soc. Am., 67
Arnold Taylor, H. Schwarz (1952)
Unit-hydrograph lag and peak flow related to basin characteristicsEos, Transactions American Geophysical Union, 33
Morisawa Morisawa (1962)
Quantitative geomorphology of some watersheds in the Appalachian PlateauBull. Geol. Soc. Am., 73
M. Morisawa (1958)
Measurement of Drainage-Basin Outline FormThe Journal of Geology, 66
L. Leopold, M. Wolman (1957)
River channel patterns: Braided, meandering, and straight
Leopold Leopold, Wolman Wolman (1960)
River meandersBull. Geol. Soc. Am., 71
R. Horton (1932)
Drainage‐basin characteristicsEos, Transactions American Geophysical Union, 13
Horton Horton (1945)
Erosional development of streams and their drainage basins; hydrophysical approach to quantitative morphologyBull. Geol. Soc. Am., 56
S. Schumm (1956)
EVOLUTION OF DRAINAGE SYSTEMS AND SLOPES IN BADLANDS AT PERTH AMBOY, NEW JERSEYGeological Society of America Bulletin, 67
Horton Horton (1932)
Drainage basin characteristicsTrans. Am. Geophys. Union, 13
R. Chorley, D. Malm, H. Pogorzelski (1957)
A new standard for estimating drainage basin shapeAmerican Journal of Science, 255
V. Miller (1953)
quantitative geomorphic study of drainage basin characteristics in the Clinch Mountain area, Virginia and Tennessee
D. Gray (1961)
Interrelationships of watershed characteristicsJournal of Geophysical Research, 66
W. Langbein (1947)
Topographic characteristics of drainage basins
A. Strahler (1957)
Quantitative analysis of watershed geomorphologyEos, Transactions American Geophysical Union, 38
J. Hack (1957)
Studies of longitudinal stream profiles in Virginia and Maryland
A. Strahler (1952)
DYNAMIC BASIS OF GEOMORPHOLOGYGeological Society of America Bulletin, 63
R. Horton (1945)
EROSIONAL DEVELOPMENT OF STREAMS AND THEIR DRAINAGE BASINS; HYDROPHYSICAL APPROACH TO QUANTITATIVE MORPHOLOGYGeological Society of America Bulletin, 56
M. Morisawa (1962)
Quantitative Geomorphology of Some Watersheds in the Appalachian PlateauGeological Society of America Bulletin, 73
Hack and Gray have both found that data on mainstream lengths and basin areas can be represented by the equation L′ = CAn′, where C is about 1.4 (measurements in miles), and n′ is about 0.6. Hack has suggested that the deviation of n′ from ½ can be explained by an elongation of drainage basin shapes with increasing area. We point out that variations of stream sinuosity with area can also affect the value of n′. A simple approximate formula is deduced that relates mainstream length, sinuosity, basin shape, and area, and shows how the contributions of sinuosity and shape variation to the quantity (n′ − ½) may be separated and evaluated. Data that illustrate these points are presented for both real and simulated stream systems. Our conclusions are: (1) Variation in mainstream sinuosity with area can be responsible for a significant part of the deviation of n′ from ½. (2) The generally accepted statement that drainage basins become more elongated as their area increases needs further investigation.
Water Resources Research – Wiley
Published: Dec 1, 1967
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