Wavelet-based multiresolution analysis of Wivenhoe Dam water temperatures

Percival, D.B., Lennox, S.M., Wang, Y-G., & Darnell, R.E. (2011) Wavelet-based multiresolution analysis of Wivenhoe Dam water temperatures. Water Resources Research, 47(5), W05552.

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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.

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6 citations in Scopus
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3 citations in Web of Science®

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ID Code: 90442
Item Type: Journal Article
Refereed: Yes
Keywords: representation, transform
DOI: 10.1029/2010wr009657
ISSN: 0043-1397
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 17 Nov 2015 05:28
Last Modified: 03 Dec 2015 05:23

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