Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Cayley
The Collected Mathematical Papers: On the analytical forms called treesAmerican Journal of Mathematics, 4
W. Feller (1959)
An Introduction to Probability Theory and Its Applications
G. Pólya, G. Szegö, Dagmar Henney (1926)
Aufgaben und Lehrsätze aus der AnalysisThe Mathematical Gazette, 13
Cayley (1858)
On the analytical forms called treesPhil. Mag., 28
R. Shreve (1974)
Variation of mainstream length with basin area in river networksWater Resources Research, 10
Smart Smart (1972)
Channel networksAdvan. Hydrosci., 8
Werner Werner (1972)
Patterns of drainage areas with random topologyGeogr. Anal., 4
Werner Werner, Smart Smart (1973)
Some new methods of topologic classification of channel networksGeogr. Anal., 5
J. Smart, C. Werner (1976)
Applications of the random model of drainage basin compositionEarth Surface Processes and Landforms, 1
R. Shreve (1966)
Statistical Law of Stream NumbersThe Journal of Geology, 74
N. Dockeray (1933)
An Extension of Van Der Mond's Theorem and Some ApplicationsThe Mathematical Gazette, 17
The mainstream length of river networks tends to be proportional to the area of the corresponding drainage basin raised to a power that decreases from about 0.6 for small basins to near 0.5 for large basins. Shreve (1974) calculated the expected diameter μ(D) of random channel networks with n sources for values of n up to 500. On the basis of this numerical data he concluded that it seems likely that the ratio log μ(D)/log n approaches ½ as n increases indefinitely. Our object here is to prove that this is indeed the case.
Water Resources Research – Wiley
Published: Dec 1, 1980
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.