Articles | Volume 11, issue 2
Hydrol. Earth Syst. Sci., 11, 721–724, 2007
https://doi.org/10.5194/hess-11-721-2007

Special issue: Thresholds and pattern dynamics: a new paradigm for predicting...

Hydrol. Earth Syst. Sci., 11, 721–724, 2007
https://doi.org/10.5194/hess-11-721-2007

  17 Jan 2007

17 Jan 2007

Modeling geophysical complexity: a case for geometric determinism

C. E. Puente1 and B. Sivakumar2 C. E. Puente and B. Sivakumar
  • 1Department of Land, Air & Water Resources, University of California, Davis, USA
  • 2Griffith School of Engineering, Griffith University, Nathan, QLD 4111, Australia

Abstract. 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 a deterministic geometric procedure to data modeling, one that represents whole data sets as derived distributions of simple multifractal measures via fractal functions. It is shown how such a procedure may lead to faithful holistic representations of existing geophysical data sets that, while complementing existing representations via stochastic methods, may also provide a compact language for geophysical complexity. The implications of these ideas, both scientific and philosophical, are stressed.