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Limits and Characteristics of the Multifractal Behaviour of a High-resolution Rainfall Time Series : Volume 2, Issue 1 (30/11/-0001)

By Olsson, J.

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Book Id: WPLBN0003981478
Format Type: PDF Article :
File Size: Pages 7
Reproduction Date: 2015

Title: Limits and Characteristics of the Multifractal Behaviour of a High-resolution Rainfall Time Series : Volume 2, Issue 1 (30/11/-0001)  
Author: Olsson, J.
Volume: Vol. 2, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Olsson, J. (-0001). Limits and Characteristics of the Multifractal Behaviour of a High-resolution Rainfall Time Series : Volume 2, Issue 1 (30/11/-0001). Retrieved from http://hawaiilibrary.net/


Description
Description: Department of Water Resources Engineering, Lund Institute of Technology, Lund University, Box 118, 221 00 Lund, Sweden. The multifractal properties of a 2-year time series of 8-min rainfall intensity observations are investigated. The empirical probability distribution function suggests a hyperbolic intermittency with divergence of moment of order greater than 2. The power spectrum E(f) of the series obeys a power law form E(f)=f -0.66 in the range of scales 8 min to approximately 3 days. The variation of the average statistical moments with scale shows that the series is characterized by a multifractal behaviour between 8 min and approximately 11 days. The multifractal parameters associated with universality were estimated to be α=0.63 and C1=0,44 by using the Double Trace Moment, DTM, technique. The moment scaling functions obtained from the empirical values and the universal expression are in good agreement in the approximate range 1≤q≤3. Outside of this range, however, differences exist which may be related to either limitations of the data or an inexact estimation of the parameters by DTM. The evident multifractal nature of rainfall time series is encouraging since it may lead to new and improved ways of processing rainfall data used in hydrological calculations.

Summary
Limits and characteristics of the multifractal behaviour of a high-resolution rainfall time series

 

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