This paper provides a historical review and critique of stochastic generating models for
hydrological observables, from early generation of monthly discharge series, through flood …

A deterministic geometric approach, the fractal–multifractal (FM) method, already found
useful in modeling storm events, is adapted here in order to encode, for the first time, highly …

A deterministic geometric approach, the fractal-multifractal (FM) method, is proposed to
temporally downscale (disaggregate) rainfall and streamflow records. The applicability of the …

In this study, we attempt to offer a solid physical basis for the deterministic fractal–multifractal
(FM) approach in geophysics (Puente, Phys Let A 161: 441–447, 1992; J Hydrol 187: 65–80 …

A deterministic geometric procedure, yielding a multitude of interesting patterns as
projections of simple multifractal measures supported by the graphs of fractal interpolating …

Complex geometries often present in hydrologic data sets such as precipitation records
have been difficult to model in their totality using classical stochastic methods. In recent …

Hydrologic data sets such as precipitation records typically feature complex geometries that
are difficult to represent as a whole using classical stochastic methods. In recent years, we …

In an earlier study, Puente and Obregón [Water Resour. Res. 32 (1996) 2825] reported on
the usage of a deterministic fractal–multifractal (FM) methodology to faithfully describe an …

Use of a deterministic fractal-multifractal (FM) geometric method to model width functions of
natural river networks, as derived distributions of simple multifractal measures via fractal …

We present the extension of a deterministic fractal geometric procedure aimed at
representing the complexity of patterns encountered in environmental applications. The …