Paula%20Agudelo

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Turbulence, Intermittency and Chaos in
High-Resolution Data, Collected At The Amazon
Forest.
Paula Agudelo
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DATA
Data at 21m and 66m
60m tower built in the Rebio Jaru reserve in
(10º04'S 61º56'W), Brazilian state of
Rondonia.
The data used consists of the wind velocity
components along the three orthogonal directions
and the temperature, all obtained using fast
response sonic instruments.
frequency of 60 Hz. (60 Samples/second)
(9min)
Data were collected as part of a LBA project
(The Large Scale Biosphere-Atmosphere Experiment
in the Amazon)
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SERIES
12pm
6pm
6th 7th
U V W T
12am
March/1999
9pm
3pm
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Histograms
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Examples
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Examples
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Profiles
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Fourier Vs Wavelets
Fourier transform
Decompose a time series in sines and cosines of
different frequencies.
Since sines and cosines are infinite
functions, It only gives information of frequency

Wavelet transform
Decompose a time series in different functions
The wavelet function goes to zero, giving
information of frequency and localization in
time
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Kolmogorov law of -5/3 (n2)
7 March, 12pm at 66m
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Kolmogorov law of 5/3
8 March, 12pm at 66m
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Removing intermittency
WTWavelet Coefficients (Result of the
transform) Sum over all WT Series
Variance
Spectral density function
KmWave Number
Standard deviation
Coefficient of energy variation
Structure Function
Flatness Factor (Similar to Kurtosis)
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Results
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Results
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Chaotic Behavior
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Mutual Information
7 March, 12pm at 21m
7 March, 12pm at 66m
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Embedding dimension
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Lorenz Attractor
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U Component
12am
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U Component
12pm
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T Component
5pm
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T Component
5pm