Different hydrological algorithms have been developed to automatically extract drainage
networks from digital elevation models (DEMs). D8 is the most widely used algorithm to …

This paper is focused on the contribution that the two‐dimensional Shallow Water Equations
could provide in respect to the fields of research devoted to the river networks analysis. The …

We use multifractal analysis to estimate the Rényi dimensions of river basins by two different
partition methods. These methods differ in the way that the Euclidian plane support of the …

The study of multifractal properties is one of the current scopes in the analysis of complex
networks. Last decade, several multifractal algorithms have been proposed, both adding …

At basin scale the physical phenomenon of diffusion involves the intricate spreading and
dispersion of substances within complex systems as networks of interconnected channels …

Quantitative measures of channel network geometry inform diverse applications in
hydrology, sediment transport, ecology, hazard assessment, and stratigraphic prediction …

Normal and anomalous diffusion are ubiquitous in many physical complex systems. Here we
define a system of diffusion equations generalized in time and space, using the conservation …

Fractal analysis relies on scale invariance and the concept of fractal dimension enables one
to characterize and quantify the space filled by a geometrical set exhibiting complex and …

Braided channel networks exhibit a complex interplay between spatial and temporal
dynamics. Their behavior is characterized by both simple and multiscaling patterns, and the …

At a channel (reach) scale, braided channels are fluvial, geomorphological, complex
systems that are characterized by a shift of bars during flood events. In such events water …