Trend, Independence, Stationarity, and Homogeneity Tests on Maximum Rainfall Series of Standard Durations Recorded in Turkey
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Volume 19, Issue 9
Abstract
Data of 14 standard duration annual maximum rainfall series with durations of 5 min to 24 h and lengths between 30 and 73 years up to 2010 that were recorded in Turkey are used. Mann-Kendall and linear regression trend, von Neumann independence, Wald-Wolfowitz stationarity, and Mann-Whitney homogeneity tests are applied on 155 complete series with a 24-h duration and 23 complete series with 14 standard durations. Next, only the linear regression test is applied on 174 incomplete series of 14 standard durations. The results of these tests indicate that almost 90% of all annual maximum rainfall series are trend free, independent, stationary, and homogeneous at a critical probability of 5%. Finally, the newly proposed Sen’s trend line method is applied to some series and its results are observed to be in agreement with both the Mann-Kendall and linear regression tests. It is concluded that standard duration annual maximum rainfall series in Turkey can be generally treated as independent and identically distributed random variables, which allow conventional intensity-duration-frequency calculations to be performed by statistical frequency analysis.
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Acknowledgments
The authors are thankful to (1) the General Directorate of Meteorological Works of Turkey for providing the data and (2) to Zekai Sen for providing the software for his method.
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Published In
Journal of Hydrologic Engineering
Volume 19 • Issue 9 • September 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Apr 1, 2013
Accepted: Jan 23, 2014
Published online: Jan 25, 2014
Published in print: Sep 1, 2014
Discussion open until: Nov 18, 2014
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