Rivers are important agents of change that shape the Earth's surface and evolve through
time in response to fluctuations in climate and other environmental conditions. They are …

Mandelbrot's (1982) hypothesis that river length is fractal has been recently substantiated by
Hjelmfelt (1988) using eight rivers in Missouri. The fractal dimension of river length, d, is …

Drainage basins possess spatial patterns of similarity that can be characterized by universal
qualities in the fractal dimension and the cumulative area distribution. Features called water …

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 …

The hierarchical ordinal and statistical models of river networks are proposed. Their
investigation has been carried out on the basis of river networks computer simulation as well …

In analyzing the literature on the fractal nature of river networks one can recognize several
points that require clarification or additional investigations. For instance, many …

The cumulative probability distributions for stream order, stream length, contributing area,
and energy dissipation per unit length of channel are derived, for an ordered drainage …

The rainfall‐runoff modelling of a river basin can be divided into two processes: the
production function and the transfer function. The production function determines the …

This paper presents a general mathematical model for the morphometric description of trees.
This model is based on the introduction of fractal theory, and more particularly of the concept …

Fractal theory has many applications in different areas, particularly in geomorphology where
is a very useful tool to describe the geometrical complexity of natural systems such as …