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research article

Are atmospheric surface layer f lows ergodic?

Higgins, Chad W.  
•
Katul, Gabriel George  
•
Froidevaux, Martin  
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2013
Geophysical Research Letters

The transposition of atmospheric turbulence statistics from the time domain, as conventionally sampled in field experiments, is explained by the so-called ergodic hypothesis. In micrometeorology, this hypothesis assumes that the time average of a measured flow variable represents an ensemble of independent realizations from similar meteorological states and boundary conditions. That is, the averaging duration must be sufficiently long to include a large number of independent realizations of the sampled flow variable so as to represent the ensemble. While the validity of the ergodic hypothesis for turbulence has been confirmed in laboratory experiments, and numerical simulations for idealized conditions, evidence for its validity in the atmospheric surface layer (ASL), especially for nonideal conditions, continues to defy experimental efforts. There is some urgency to make progress on this problem given the proliferation of tall tower scalar concentration networks aimed at constraining climate models yet are impacted by nonideal conditions at the land surface. Recent advancements in water vapor concentration lidar measurements that simultaneously sample spatial and temporal series in the ASL are used to investigate the validity of the ergodic hypothesis for the first time. It is shown that ergodicity is valid in a strict sense above uniform surfaces away from abrupt surface transitions. Surprisingly, ergodicity may be used to infer the ensemble concentration statistics of a composite grass-lake system using only water vapor concentration measurements collected above the sharp transition delineating the lake from the grass surface. Citation: Higgins, C. W., G. G. Katul, M. Froidevaux, V. Simeonov, and M. B. Parlange (2013), Are atmospheric surface layer flows ergodic?, Geophys. Res. Lett., 40, 3342–3346, doi:10.1002/grl.50642.

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Type
research article
DOI
10.1002/grl.50642
Web of Science ID

WOS:000321951300083

Author(s)
Higgins, Chad W.  
Katul, Gabriel George  
Froidevaux, Martin  
Simeonov, Valentin  
Parlange, Marc  
Date Issued

2013

Publisher

American Geophysical Union

Published in
Geophysical Research Letters
Volume

40

Start page

3342

End page

3346

Subjects

Atmospheric surface layer

•

Ergodic Hypothesis

•

Lidar

•

water vapor concentration

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
EFLUM  
Available on Infoscience
August 30, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/94400
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