GEOMORPHOLOGICAL WIDTH FUNCTIONS AND THE RANDOM CASCADE

被引:34
作者
MARANI, M
RINALDO, A
RIGON, R
RODRIGUEZ-ITURBE, I
机构
[1] UNIV TRENT, DIPARTIMENTO INGN CIVILE & AMBIENTALE, I-38050 TRENT, ITALY
[2] TEXAS A&M UNIV, DEPT CIVIL ENGN, COLLEGE STN, TX 77843 USA
关键词
D O I
10.1029/94GL01933
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
We examine the geomorphological width functions of several river basins through the formalism of conservative (microcanonical) random cascades and we compare the results with those of more conventional fractal and multifractal analyses. We suggest that the spatial patterns of aggregation described by the width functions analyzed show common recurrent characters and that the implications of the robust identification of the singularity spectra via Legendre transforms are supported also by random cascade rationale.
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页码:2123 / 2126
页数:4
相关论文
共 11 条
[1]   DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].
CHHABRA, A ;
JENSEN, RV .
PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330
[2]  
Feder J., 1988, FRACTALS
[3]  
GUPTA VK, 1993, J APPL METEOROL, V32, P251, DOI 10.1175/1520-0450(1993)032<0251:ASAOMR>2.0.CO
[4]  
2
[5]  
HOLLEY R, 1992, ANN APPL PROBAB, V2, P819, DOI DOI 10.1214/A0AP/1177005577
[6]  
Lavallee D., 1993, FRACTALS GEOGRAPHY, P158
[7]  
Mandelbrot B.B., 1983, AMJPHYS
[8]   A NOTE ON FRACTAL CHANNEL NETWORKS [J].
MARANI, A ;
RIGON, R ;
RINALDO, A .
WATER RESOURCES RESEARCH, 1991, 27 (12) :3041-3049
[9]   ON A SYMMETRY OF TURBULENCE [J].
PECKHAM, S ;
WAYMIRE, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (02) :365-370
[10]   SELF-ORGANIZED FRACTAL RIVER NETWORKS [J].
RINALDO, A ;
RODRIGUEZ-ITURBE, I ;
RIGON, R ;
IJJASZVASQUEZ, E ;
BRAS, RL .
PHYSICAL REVIEW LETTERS, 1993, 70 (06) :822-825