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C. Yang (1971)
Potential Energy and Stream MorphologyWater Resources Research, 7
I. Rodríguez‐Iturbe, E. Ijjász-Vásquez, R. Bras, D. Tarboton (1992)
Power law distributions of discharge mass and energy in river basinsWater Resources Research, 28
P. Stevens (1974)
Patterns in Nature
L. Leopold, W. Langbein (1962)
The concept of entropy in landscape evolution
L. Brush (1961)
Drainage basins, channels, and flow characteristics of selected streams in central Pennsylvania
V. Gupta, E. Waymire (1989)
Statistical self-similarity in river networks parameterized by elevationWater Resources Research, 25
H. Uylings (1977)
Optimization of diameters and bifurcation angles in lung and vascular tree structuresBulletin of Mathematical Biology, 39
G. Parker (1978)
Self-formed straight rivers with equilibrium banks and mobile bed. Part 2. The gravel riverJournal of Fluid Mechanics, 89
Shen Lin (1965)
Computer solutions of the traveling salesman problemBell System Technical Journal, 44
Howard Howard (1971)
Simulation of stream networks by headward growth and branchingGeogr. Anal., 3
D. Tarboton, R. Bras, I. Rodríguez‐Iturbe (1989)
Scaling and Elevation in River NetworksWater Resources Research, 25
S. Ikeda, G. Parker, Yoshitaka Kimura (1988)
Stable width and depth of straight gravel rivers with heterogeneous bed materialsWater Resources Research, 24
R. Shreve (1966)
Statistical Law of Stream NumbersThe Journal of Geology, 74
La Barbera La Barbera, Rosso Rosso (1987)
The fractal geometry of river networks (abstract)Eos Trans. AGU, 68
L. Leopold, M. Wolman (1957)
River channel patterns: Braided, meandering, and straight
R. Shreve (1969)
Stream Lengths and Basin Areas in Topologically Random Channel NetworksThe Journal of Geology, 77
D. Tarboton, R. Bras, I. Rodríguez‐Iturbe (1988)
The fractal nature of river networksWater Resources Research, 24
Sherman Sherman (1981)
On connecting large vessels to smallJ. Gen. Physiol., 78
L. Band (1986)
Topographic Partition of Watersheds with Digital Elevation ModelsWater Resources Research, 22
C. Murray (1926)
The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume.Proceedings of the National Academy of Sciences of the United States of America, 12 3
M. Woldenberg, K. Horsfield (1986)
Relation of branching angles to optimality for four cost principles.Journal of theoretical biology, 122 2
Roy Roy (1983)
Optimal angular geometry models for river branchingGeogr. Anal., 15
A. Howard (1990)
Theoretical model of optimal drainage networksWater Resources Research, 26
T. Sherman (1981)
On connecting large vessels to small. The meaning of Murray's lawThe Journal of General Physiology, 78
M. Wolman (1955)
The natural channel of Brandywine Creek, Pennsylvania
R. Horton (1945)
EROSIONAL DEVELOPMENT OF STREAMS AND THEIR DRAINAGE BASINS; HYDROPHYSICAL APPROACH TO QUANTITATIVE MORPHOLOGYGeological Society of America Bulletin, 56
J. O'Callaghan, D. Mark (1984)
The extraction of drainage networks from digital elevation dataComput. Vis. Graph. Image Process., 28
L. Leopold, T. Maddock (1953)
The hydraulic geometry of stream channels and some physiographic implications
D. Pilgrim (1977)
Isochrones of travel time and distribution of flood storage from a tracer study on a small watershedWater Resources Research, 13
J. Flint (1974)
Stream gradient as a function of order, magnitude, and dischargeWater Resources Research, 10
Three principles of optimal energy expenditure are used to derive the most important structural characteristics observed in drainage networks: (1) the principle of minimum energy expenditure in any link of the network, (2) the principle of equal energy expenditure per unit area of channel anywhere in the network, and (3) the principle of minimum total energy expenditure in the network as a whole. Their joint application results in a unified picture of the most important empirical facts which have been observed in the dynamics of the network and its three‐dimensional structure. They also link the process of runoff production in the basin with the characteristics of the network.
Water Resources Research – Wiley
Published: Apr 1, 1992
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