Detrended Fluctuation Analysis Of Significant
Wave Height Time Series
Author(s)
L. Cabrera & G. RodrÃguez
Abstract
Mean daily significant wave height time series are analysed by means of the
detrended fluctuation analysis (DFA) method to examine the existence of longrange
correlations, or long memory. The results indicate that the scaling behavior
of significant wave height fluctuations is not constant over the considered time
scales but there is a decrease of the scaling exponent with increasing time
scale. Two crossover times have been identified, indicating three different scaling
behaviors. Fluctuations associated to time scales between 10 and 100 days,
approximately, show long-range correlation while fluctuations above and below
this range present white and Brownian noise-like behavior, respectively.
1 Introduction
The knowledge of sea state conditions is critical not only for studying many
oceanic and atmospheric processes but also for many offshore and nearshore
operations. The evolution of sea state conditions is also of utmost importance in
coastal erosion, several questions concerning safety, reliability and feasibility of
offshore activities, as well as in maritime transport.
It has been highlighted by many researchers [1, 2] that the design and
construction of marine structures and the coastal and offshore development
activities require a relatively accurate knowledge of wave conditions to be expected
during those activities and the expected lifetime of the structures. However,
acquiring accurate knowledge of wave conditions evolution proves to be a difficult
task. Ocean wind waves are generated in the interface connecting the turbulent
boundary layers of air and water. The coupling of these two different viscous
fluids is strong and nonlinear. Waves are inherently forced by the wind, break
intermittently and interact strongly with surrounding turbulence. Moreover, in
Keywords
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