Wavelet-based multiresolution analysis of Wivenhoe Dam water temperatures

Percival, D. B., Lennox, S. M., Wang, Y.-G. and Darnell, R. E. (2011) Wavelet-based multiresolution analysis of Wivenhoe Dam water temperatures. Water Resources Research, 47 5: W05552-1-W05552-19. doi:10.1029/2010WR009657

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Author Percival, D. B.
Lennox, S. M.
Wang, Y.-G.
Darnell, R. E.
Title Wavelet-based multiresolution analysis of Wivenhoe Dam water temperatures
Journal name Water Resources Research   Check publisher's open access policy
ISSN 0043-1397
Publication date 2011-05-01
Sub-type Article (original research)
DOI 10.1029/2010WR009657
Open Access Status File (Publisher version)
Volume 47
Issue 5
Start page W05552-1
End page W05552-19
Total pages 19
Editor Praveen Kumar
Place of publication Washington, DC, United States
Publisher American Geophysical Union
Language eng
Formatted abstract
Water temperature measurements from Wivenhoe Dam offer a unique opportunity for studying fluctuations of temperatures in a subtropical dam as a function of time and depth. Cursory examination of the data indicate a complicated structure across both time and depth. We propose simplifying the task of describing these data by breaking the time series at each depth into physically meaningful components that individually capture daily, subannual and annual (DSA) variations. Precise definitions for each component are formulated in terms of a wavelet-based multiresolution analysis. The DSA components are approximately pairwise uncorrelated within a given depth and between different depths. They also satisfy an additive property in that their sum is exactly equal to the original time series. Each component is based upon a set of coefficients that decomposes the sample variance of each time series exactly across time and that can be used to study both time-varying variances of water temperature at each depth and time-varying correlations between temperatures at different depths. Each DSA component is amenable for studying a certain aspect of the relationship between the series at different depths. The daily component in general is weakly correlated between depths, including those that are adjacent to one another. The subannual component quantifies seasonal effects and in particular isolates phenomena associated with the thermocline, thus simplifying its study across time. The annual component can be used for a trend analysis. The descriptive analysis provided by the DSA decomposition is a useful precursor to a more formal statistical analysis.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Authors' preprint title: "Water-based multiresolution analysis of Wivenhoe Dam water temperatures".

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
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Created: Fri, 11 Feb 2011, 23:16:59 EST by Kay Mackie on behalf of School of Mathematics & Physics