Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Strahler (1952)
Hypsometric (area-altitude) analysis of erosional topography.Geological Society of America Bulletin, 63
Richardson Richardson (1961)
The problem of contiguity: An appendix of statistics of deadly quarrelsGen. Syst. Yearb., 6
Davis (1899)
The geographical cycleGeogr. J., 14
W. Davis (1899)
The Geographical CycleThe Geographical Journal, 14
L. Band (1986)
Topographic Partition of Watersheds with Digital Elevation ModelsWater Resources Research, 22
LaBarbera (1987)
The fractal geometry of river networksEos Trans. AGU, 68
Hentschel (1983)
The infinite number of dimensions of fractals and strange attractorsPhysica, 8D
D. Gray (1961)
Interrelationships of watershed characteristicsJournal of Geophysical Research, 66
I. Rodríguez‐Iturbe, J. Valdes (1979)
The geomorphologic structure of hydrologic responseWater Resources Research, 15
G. Rota (1976)
Les objects fractals: B. Mandelbrot, Flammation, 1975, 186 pp.Advances in Mathematics, 22
R. Horton (1945)
EROSIONAL DEVELOPMENT OF STREAMS AND THEIR DRAINAGE BASINS; HYDROPHYSICAL APPROACH TO QUANTITATIVE MORPHOLOGYGeological Society of America Bulletin, 56
S. Lovejoy, D. Schertzer, A. Tsonis (1987)
Functional Box-Counting and Multiple Elliptical Dimensions in RainScience, 235
J. O'Callaghan, D. Mark (1984)
The extraction of drainage networks from digital elevation dataComput. Vis. Graph. Image Process., 28
R. Shreve (1967)
Infinite Topologically Random Channel NetworksThe Journal of Geology, 75
R. Voss (1986)
Characterization and Measurement of Random FractalsPhysica Scripta, 1986
B. Mandelbrot (1985)
Self-Affine Fractals and Fractal DimensionPhysica Scripta, 32
S. Wheatcraft, S. Tyler (1988)
An explanation of scale‐dependent dispersivity in heterogeneous aquifers using concepts of fractal geometryWater Resources Research, 24
K. Horsfield (1980)
Are diameter, length and branching ratios meaningful in the lung?Journal of theoretical biology, 87 4
M. Morisawa (1962)
Quantitative Geomorphology of Some Watersheds in the Appalachian PlateauGeological Society of America Bulletin, 73
Voss Voss (1986)
Random fractals: Characterization and measurementPhys. Scr., T13
Ever since Mandelbrot (1975, 1983) coined the term, there has been speculation that river networks are fractals. Here we report analyses done on river networks to determine their fractal structure. We find that the network as a whole, although composed of nearly linear members, is practically space filling with fractal dimension near 2. The empirical results are backed by a theoretical analysis based on long‐standing hydrologic concepts describing the geometric similarity of river networks. These results advance our understanding of the geometry and composition of river networks.
Water Resources Research – Wiley
Published: Aug 1, 1988
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.