Fourier and Wavelet Analysis of Water Quality Signals

Abstract:

Taking the nitrogen monitoring data of two sites S1 and S2 in the period 1988-2003 in Baihe River lying Miyun reservoir stream watershed as a case, Fourier and Wavelet analysis were adopted to explore and compare the periodic patterns and temporal pattern characteristics of the two sites. The results showed that the periodic patterns of two sites were discovered using Fourier analysis. The site S1 had a period of two years, while the site S2 had no significant periodic patterns. The temporal pattern characteristics at different scales were obtained through wavelet analysis, which were at small scale for the site S1, while at moderate and small scales for the site S2. The Fourier and wavelet analysis method can both be used in the study of surface water quality temporal change pattern, the first is a coarse method and the latter is a more detailed method for analyzing surface water quality temporal pattern characteristics.

• Periodical: Advanced Materials Research (Volumes 765-767)
• Pages: 2848-2852
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.765-767.2848
• Online since: September 2013
• Authors: Wei Zhang, Hong Li, Dan Feng Sun, Lian Di Zhou
• Keywords: Fourier, Miyun Reservoir, Nitrogen, Water Quality, Wavelet Analysis

References

[1] Shrestha S, Kazama F. Assessment of surface water quality using multivariate statistical techniques: A case study of the Fuji river basin, Japan [J]. Environmental Modelling and Software, 2007 (22) 464-475.

DOI: 10.1016/j.envsoft.2006.02.001

[2] Worrall F, Burt T P. Time series analysis of long-term river dissolved organic carbon records [J]. Hydrological Processes, 2004 (18) 893-911.

DOI: 10.1002/hyp.1321

[3] Koutroumanidis T, Sylaios G, Zafeiriou E, Tsihrintzis V A. Genetic modeling for the optimal forecasting of hydrologic time-series: Application in Nestos River [J]. Journal of Hydrology, 2009 (368) 156-164.

DOI: 10.1016/j.jhydrol.2009.01.041

[4] Kang S J, Lin H. Wavelet analysis of hydrological and water quality signals in an agricultural watershed [J]. Journal of Hydrology, 2007 (338) 1-14.

DOI: 10.1016/j.jhydrol.2007.01.047

[5] Anctil F, Coulibaly P. Wavelet analysis of the interannual variability in southern Quebec streamflow [J]. Journal of Climate, 2004 (17) 163-173.

DOI: 10.1175/1520-0442(2004)017<0163:waotiv>2.0.co;2

[6] Zhang W W, Sun D F, Li H, Zhou L D. Risk assessment on the surface water quality in Miyun Reservoir watershed, Beijing in the period 1980-2003 [J]. Environmental Science, 2010 (31) 1483-1491. (In Chinese).

[7] Si B C. Spatial scaling analyses of soil physical properties: A review of spectral and wavelet methods[J]. Vadose Zone Journal, 2008 (7) 547-562.

DOI: 10.2136/vzj2007.0040

[8] Torrence C, Compo G P. A practical guide to wavelet analysis [J]. Bulletin of American Meteorological Society, 1998 (79) 61-78.

DOI: 10.1175/1520-0477(1998)079<0061:apgtwa>2.0.co;2

[9] Grinsted A, Moore J C, Jevrejeva S. Application of the cross wavelet transform and wavelet coherence to geophysical time series [J]. Nonlinear Processes in Geophysics, 2004 (11) 561-566.

DOI: 10.5194/npg-11-561-2004