Random self‐similar river networks and derivations of generalized Horton Laws in terms of statistical simple scaling

By S. Veitzer, Vijay K. Gupta. 2000

63 citations recorded by the source corpus.

Subfields: Ecology, Global and Planetary Change, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/9ad27418f812a935ba128df40304246ede94968d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Ecology

1. E. Foufoula‐Georgiou
2. David Storch
3. A. L. Šizling
4. Ilya Zaliapin
5. S. Zanardo

In Global and Planetary Change

1. E. Foufoula‐Georgiou
2. David Storch
3. Ilya Zaliapin
4. S. Zanardo

In Water Science and Technology

1. E. Foufoula‐Georgiou
2. Ilya Zaliapin
3. S. Zanardo

Citations in the corpus

• Power‐law species–area relationships and self‐similar species distributions within finite areas (2004, background): “…could be self-similar, because altitude is related to the ruggedness of the earth surface, which reveals fractal properties (Mandelbrott 1977) – after all, many altitudinal changes are related to the system of water drainage, which is naturally fractal (Peckham 1995; Veitzer & Gupta 2000).”
• Are American rivers Tokunaga self‐similar? New results on fluvial network topology and its climatic dependence (2013, methodology): “[14] The topological Horton laws, widely observed in hydrological and biological networks [Turcotte et al., 1998; Horton, 1945; Veitzer and Gupta, 2000; Dodds and Rothman, 2000], state, in their ultimate form, the equality of the ratios of various branch statistics for two consecutive orders.”