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Article
Article Type:
Research Article

Fractal Analysis of Deep Ocean Current Speed Time Series

Laura Cabrera-Brito Departamento de Fisica, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Las Palmas, Spain

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German Rodriguez Applied Marine Physics and Remote Sensing Group, Institute of Environmental Studies and Natural Resources, and Departamento de Fisica, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Las Palmas, Spain

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Luis García-Weil Applied Marine Physics and Remote Sensing Group, Institute of Environmental Studies and Natural Resources, and Departamento de Fisica, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Las Palmas, Spain

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Mercedes Pacheco Applied Marine Physics and Remote Sensing Group, Institute of Environmental Studies and Natural Resources, and Departamento de Fisica, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Las Palmas, Spain

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Esther Perez Applied Marine Physics and Remote Sensing Group, Institute of Environmental Studies and Natural Resources, and Departamento de Fisica, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Las Palmas, Spain

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Joanna J. Waniek Leibniz Institute for Baltic Sea Research, Rostock, Germany

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Print Publication:
01 Apr 2017
DOI:
https://doi.org/10.1175/JTECH-D-16-0098.1
Page(s):
817–827
Restricted access

Abstract

Fractal properties of deep ocean current speed time series, measured at a single-point mooring on the Madeira Abyssal Plain at 1000- and 3000-m depth, are explored over the range between one week and 5 years, by using the detrended fluctuation analysis and multifractal detrended fluctuation analysis methodologies. The detrended fluctuation analysis reveals the existence of two subranges with different scaling behaviors. Long-range temporal correlations following a power law are found in the time-scale range between approximately 50 days and 5 years, while a Brownian motion–type behavior is observed for shorter time scales. The multifractal analysis approach underlines a multifractal structure whose intensity decreases with depth. The analysis of the shuffled and surrogate versions of the original time series shows that multifractality is mainly due to long-range correlations, although there is a weak nonlinear contribution at 1000-m depth, which is confirmed by the detrended fluctuation analysis of volatility time series.

© 2017 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author e-mail: German Rodriguez, german.rodriguez@ulpgc.es

Abstract

Fractal properties of deep ocean current speed time series, measured at a single-point mooring on the Madeira Abyssal Plain at 1000- and 3000-m depth, are explored over the range between one week and 5 years, by using the detrended fluctuation analysis and multifractal detrended fluctuation analysis methodologies. The detrended fluctuation analysis reveals the existence of two subranges with different scaling behaviors. Long-range temporal correlations following a power law are found in the time-scale range between approximately 50 days and 5 years, while a Brownian motion–type behavior is observed for shorter time scales. The multifractal analysis approach underlines a multifractal structure whose intensity decreases with depth. The analysis of the shuffled and surrogate versions of the original time series shows that multifractality is mainly due to long-range correlations, although there is a weak nonlinear contribution at 1000-m depth, which is confirmed by the detrended fluctuation analysis of volatility time series.

© 2017 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author e-mail: German Rodriguez, german.rodriguez@ulpgc.es
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