Modeling geophysical complexity: a case for geometric determinism

CE Puente, B Sivakumar - Hydrology and Earth System …, 2007 - hess.copernicus.org
It has been customary in the last few decades to employ stochastic models to represent
complex data sets encountered in geophysics, particularly in hydrology. This article reviews …

No monsters, no miracles: in nonlinear sciences hydrology is not an outlier!

D Schertzer, I Tchiguirinskaia, S Lovejoy… - … Journal–Journal des …, 2010 - Taylor & Francis
The end users of hydrological models may be justified for being tired of the excessive
uncertainty of these models, not to mention their simplistic approximations and crude …

Encoding daily rainfall records via adaptations of the fractal multifractal method

ML Maskey, CE Puente, B Sivakumar… - … Research and Risk …, 2016 - Springer
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 …

Temporal downscaling rainfall and streamflow records through a deterministic fractal geometric approach

ML Maskey, CE Puente, B Sivakumar - Journal of hydrology, 2019 - Elsevier
A deterministic geometric approach, the fractal-multifractal (FM) method, is proposed to
temporally downscale (disaggregate) rainfall and streamflow records. The applicability of the …

A physical interpretation of the deterministic fractal–multifractal method as a realization of a generalized multiplicative cascade

A Cortis, CE Puente, HH Huang, ML Maskey… - … research and risk …, 2014 - Springer
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 …

Evolutionary computing in hydrological sciences

D Savic, ST Khu - Encyclopedia of Hydrological Sciences, 2006 - Wiley Online Library
With the advent of data acquisition techniques and data processing capabilities (computers+
algorithms), evolutionary computing (EC) has found its way into a wide range of applications …

A universe of projections: may Plato be right?

CE Puente - Chaos, Solitons & Fractals, 2004 - Elsevier
A deterministic geometric procedure, yielding a multitude of interesting patterns as
projections of simple multifractal measures supported by the graphs of fractal interpolating …

Geometric harnessing of precipitation records: reexamining four storms from Iowa City

HH Huang, CE Puente, A Cortis - Stochastic Environmental Research and …, 2013 - Springer
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 …

An effective inversion strategy for fractal–multifractal encoding of a storm in Boston

HH Huang, CE Puente, A Cortis, JLF Martínez - Journal of hydrology, 2013 - Elsevier
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 …

Modeling high-resolution rain rates via a deterministic fractal-multifractal approach

N Obregón, CE Puente, B Sivakumar - Fractals, 2002 - World Scientific
Usage of a deterministic fractal-multifractal (FM) procedure to model high-resolution rainfall
time series, as derived distributions of multifractal measures via fractal interpolating …