Informational entropy of fractal river networks

Informational Entropy of Fractal River Networks

Informational entropy of Fourier maps.

An analysis on what is known as the interpretation of Fourier maps has been done from the information theory point of view: determining the nature of the peaks in the map (in order to assign them a suitable scattering factor) and allocating bonds between some of the possible peak pairs. Before interpreting the map, a quantitatively measurable entropy (uncertainty, unknowingness) relating to the...

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...

The Relations between the Fractal Properties of the River Networks and the River Flow Time Series

All the geophysical phenomena including river networks and flow time series are fractal events inherently and fractal patterns can be investigated through their behaviors. A non-linear system like a river basin can well be analyzed by a non-linear measure such as the fractal analysis. A bilateral study is held on the fractal properties of the river network and the river flow time series. A movi...

Models of Fractal River Basins

Experimental analyses of river networks(1) have shown clear examples of behavior analogous to critical phenomena characterized by the absence of a single well-defined length scale reflected in a power-law behavior of various quantities. A fundamental question that arises from these observations is whether, in analogy with conventional critical phenomena, one may fruitfully classify this behavio...