Minimum energy and fractal structures of drainage networks

Water Resources Research

Volumn 28, Issue 9, 1992, Pages 2183-2195

  Rinaldo, Andrea ^a   Rodriguez‐Iturbe, Ignacio ^a   Rigon, Riccardo ^a   Bras, Rafael L ^a   Ijjasz‐Vasquez, Ede ^a   Marani, Alessandro ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL ELEVATION MAPS; DRAINAGE NETWORKS; MODELLING-COMPUTER; OPTIMAL CHANNEL NETWORKS;

EID: 0026789423     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1029/92WR00801     Document Type: Article

References (57)

1. Self‐organized criticality and fractal growth
2. Multiscaling in diffusion‐limited aggregation
3. Self‐organized criticality: An explanation of 1/ƒ noise
4. Self‐organized criticality
5. Topographic partition of watersheds with digital elevation models
6. New optimization methods from physics and biology
7. Direct determination of the ƒ(α) singularity spectrum
8. Fully developed turbulence and intermittency
9. Runoff generation and hydrologic response via channel network geomorphology—Recent progress and open problems
10. On the formulation of an analytical approach to understand hydrological response and similarity at the basin scale
11. On scales, gravity and network structure in basin runoff
12. Fractal measures and their singularities: The characterization of strange sets
13. Fractals and the river length catchment‐area ratio
14. Theoretical model of optimal drainage networks
15. Erosional development of streams and their drainage basins: Hydrophysical approach to quantitative morphology
16. Scheidegger's rivers, Takayasu's aggregates and continued fractions
17. Global universality at the onset of chaos: Results of a forced Rayleigh‐Benard experiment
18. Multiscaling in multifractals
19. More approaches on the travelling salesman guide
20. On fractal dimension of stream networks
21. Reply
22. Computer solutions for the travelling salesman problem
23. An effective heuristic algorithm for the traveling salesman problem
24. Multifractals, universality classes and satellite and radar measurements of cloud and rain fields
25. Intermittent turbulence in self‐similar cascades: Divergence of high moments and dimension of the carrier
26. Multifractal measures, especially for the geophysicist
27. A note on fractal channel networks
28. Fractal aggregates in geophysics
29. Simple multifractal cascade for fully developed turbulence
30. The extraction of drainage networks from digital elevation data
31. Anomalous scaling laws in multifractal objects
32. Geomorphological dispersion
33. The geomorphic structure of hydrologic response
34. Energy dissipation, runoff production and the three‐dimensional structure of river basins
35. Power law distributions of mass and energy in river basins
36. Fractal relation of mainstream length to catchment area in river networks
37. A stochastic model for drainage patterns into an intramontane trench
38. Statistical law of stream numbers
39. Channel networks
40. Power‐law mass distribution of aggregation systems with injection
41. Apparent independency of an aggregation system with injection
42. The fractal nature of river networks
43. Comment on “On the fractal dimension of stream networks” by Paolo La Barbera and Renzo Rosso
44. Fractals, multifractals and thermodynamics
45. On the expected width function for topologically random channel networks
46. Unit hydrograph approximations assuming linear flow through topologically random channel networks
47. On the main channel length‐magnitude formula for random networks: A solution to Moon's conjecture
48. Optimally collecting networks