Next Article in Journal
Information Theory in Scientific Visualization
Previous Article in Journal
Understanding Atmospheric Behaviour in Terms of Entropy: A Review of Applications of the Second Law of Thermodynamics to Meteorology
Article

Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series

Department of Design for Sustainable Environment, MingDao University, 369 Wen-Hua Road, Peetow, Changhau 52345, Taiwan
Entropy 2011, 13(1), 241-253; https://doi.org/10.3390/e13010241
Received: 10 December 2010 / Revised: 7 January 2011 / Accepted: 8 January 2011 / Published: 20 January 2011
This paper presents a novel framework to determine the number of resolution levels in the application of a wavelet transformation to a rainfall time series. The rainfall time series are decomposed using the à trous wavelet transform. Then, multi-scale entropy (MSE) analysis that helps to elucidate some hidden characteristics of the original rainfall time series is applied to the decomposed rainfall time series. The analysis shows that the Mann-Kendall (MK) rank correlation test of MSE curves of residuals at various resolution levels could determine the number of resolution levels in the wavelet decomposition. The complexity of rainfall time series at four stations on a multi-scale is compared. The results reveal that the suggested number of resolution levels can be obtained using MSE analysis and MK test. The complexity of rainfall time series at various locations can also be analyzed to provide a reference for water resource planning and application. View Full-Text
Keywords: wavelet transform; multi-scale entropy; rainfall time series wavelet transform; multi-scale entropy; rainfall time series
Show Figures

Figure 1

MDPI and ACS Style

Chou, C.-M. Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series. Entropy 2011, 13, 241-253. https://doi.org/10.3390/e13010241

AMA Style

Chou C-M. Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series. Entropy. 2011; 13(1):241-253. https://doi.org/10.3390/e13010241

Chicago/Turabian Style

Chou, Chien-Ming. 2011. "Wavelet-Based Multi-Scale Entropy Analysis of Complex Rainfall Time Series" Entropy 13, no. 1: 241-253. https://doi.org/10.3390/e13010241

Find Other Styles

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Back to TopTop