Nonlinear Processes in Oceanic and Atmospheric Flows

Presentation

Statistical properties of scale-invariance in satellite-derived variables

Author: V. Nieves, Institut de Cičncies del Mar.

Names and affiliation of other authors:
A. Turiel, E. Garcia-Ladona

Oral or poster: Poster

Downloadable poster file:

Statistical properties of scale-invariance in satellite-derived variables

(NPOAF_08.pdf, 1102461 bytes)

Abstract:
Singularity analysis (SA), as part of the Microcanonical Multifractal Formalism (MMF), is an appropriate framework for the extraction of dynamic information from satellite-derived scalar variables [Turiel et al., Phys. Rev. Lett (2005); Isern-Fontanet et al., J. Geophys. Res. (2007)]. A strong scale invariance symmetry pervades the organization of a flow under Fully Developed Turbulent (FDT), as in oceans. In previous works it has been shown that i) emerging singularity patterns provide a description of the global oceanic currents [Turiel et al., Rem. Sen. Env. (2008)], and that ii) singularity-based statistical properties of different scalar tracers must coincide at any scale or region [Nieves et al., Geophys. Rev. Lett. (2007)]. In this work we will show that iii) scaling properties in the flow are fully described by Singularity Spectra (SS) derived from SA, while Probability Density Functions (PDFs) do not present this capability.
SA is useful in order to measure and track mesoscale oceanic phenomena, opening the way to many operational and reanalysis applications. The common turbulent signature detected in different satellite images may allow e.g. to use temperature maps (which are more abundant than chlorophyll data, CC) for improve the inference of reasonable distributions of CC over data gaps.

*Satellite images from NASA and ESA

Nonlinear Processes in Oceanic and Atmospheric Flows. July 2-4, 2008. Castro Urdiales, Cantabria, Spain.