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Estimating the Random Error in Eddy-Covariance Based Fluxes and Other Turbulence Statistics: The Filtering Method

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Abstract

A spatially local decomposition of turbulent fluxes based on properties of spatial filters is used to develop a new method of estimating random error in turbulent moments of any order. The proposed error estimation method does not require an estimate of the integral time scale, which can be highly sensitive to the method used to calculate it. The error estimation method is validated using synthetic flux data with a known ensemble mean and intercompared with existing methods using data from the Advection Horizontal Array Turbulence Study (AHATS). Typical errors for a 27.3-min block of data collected at a height of 8 m are found to be approximately 10% for the heat flux and 7–15% for variances. The error in the momentum flux increases rapidly with increasing atmospheric instability, reaching values of 40% or greater for unstable conditions. A new method based on filtering is also proposed to estimate integral time scales of turbulent quantities.

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Authors and Affiliations

  1. Department of Meteorology, The Pennsylvania State University, University Park, PA, 16802, USA

    Scott T. Salesky & Marcelo Chamecki

  2. Laboratory for Environmental Monitoring and Modeling Analysis, Federal University of Paraná, P.O. Box 19100, Curitiba, PR, 80011-970, Brazil

    Nelson L. Dias

Authors
  1. Scott T. Salesky
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  2. Marcelo Chamecki
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  3. Nelson L. Dias
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Correspondence to Marcelo Chamecki.

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Salesky, S.T., Chamecki, M. & Dias, N.L. Estimating the Random Error in Eddy-Covariance Based Fluxes and Other Turbulence Statistics: The Filtering Method. Boundary-Layer Meteorol 144, 113–135 (2012). https://doi.org/10.1007/s10546-012-9710-0

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