Horton laws for hydraulic–geometric variables and their scaling exponents in self-similar Tokunaga river networks
نویسندگان
چکیده
منابع مشابه
Fractal river networks, Horton's laws and Tokunaga cyclicity
The structure and scaling of river networks characterized using fractal dimensions related to Horton's laws is assessed. The Hortonian sealing framework is shown to be limited in that strict self similarity is only possible for structurally Hortonian networks. Dimension estimates using the Hortonian scaling system are biased and do not admit space filling. Tokunaga eyclicity presents an alterna...
متن کاملHorton Law in Self-Similar Trees
Abstract. Self-similarity of random trees is related to the operation of pruning. Pruning R cuts the leaves and their parental edges and removes the resulting chains of degree-two nodes from a finite tree. A Horton-Strahler order of a vertex v and its parental edge is defined as the minimal number of prunings necessary to eliminate the subtree rooted at v. A branch is a group of neighboring ver...
متن کاملTokunaga and Horton self-similarity for level set trees of Markov chains
The Horton and Tokunaga branching laws provide a convenient framework for studying self-similarity in random trees. The Horton self-similarity is a weaker property that addresses the principal branching in a tree; it is a counterpart of the power-law size distribution for elements of a branching system. The stronger Tokunaga self-similarity addresses so-called side branching. The Horton and Tok...
متن کاملUnified view of scaling laws for river networks.
Scaling laws that describe the structure of river networks are shown to follow from three simple assumptions. These assumptions are (1) river networks are structurally self-similar, (2) single channels are self-affine, and (3) overland flow into channels occurs over a characteristic distance (drainage density is uniform). We obtain a complete set of scaling relations connecting the exponents of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Processes in Geophysics
سال: 2014
ISSN: 1607-7946
DOI: 10.5194/npg-21-1007-2014