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This paper analyzes the streamflow characteristics in the European part of Turkey, including randomness, jump (homogeneity), trend, and goodness-of-fit of probability density functions.
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BALWOIS Conference Ohrid, FY Republic of Macedonia May 25-29, 2004 STREAMFLOW CHARACTERISTICS OF EUROPEAN PART OF TURKEY Istanbul Technical University Department of Civil Engineering Hydraulics Division Maslak 34469 Istanbul, Turkey Phone : +90 212 2856577 Fax : +90 212 2856587 E-mail : haksoy@itu.edu.tr Hafzullah Aksoy N. Erdem Unal M. Deniz Itibar
N Drainage basins in Turkey and study area
Analysis of hydrological data • Randomness • Jump (Homogeneity) • Trend • Best-fit pdf
X50 R i=i+1 N Y F Xi> X50 S z<-z/2 z>z/2 Y N n2=n2+1 n1=n1+1 Y Accept H0 Reject H0 i < n N R H0: The sequence of Ss and Fs is random. Randomness test(Adeloye & Montaseri, 2002)
Jump Test • Segmentation procedure (Hubert, 2000)
Jump test(Fanta et al., 2001) y1, y2 N1, N2 N Y t > t1-/2, n-2 Accept H0 Reject H0 H0: The shift in the mean is insignificant.
Trend test(Adeloye & Montaseri, 2002) y1<y2<...<yi<...<yn 1 2 Ri n i=i+1 di=Ri-i i<n N t > t/2, n-2 t < -t/2, n-2 Y Accept H0 Reject H0 H0: The time series has no trend.
Goodness-of-fit of pdfs by PPCC test(Adeloye & Montaseri, 2002) y1<y2<...<yi<...<yn w1 w2 ... wi ...Wn 1 2 Ri n i=i+1 pi: Exceedance probability of yi wi=G-1(1-pi) G-1(): inverse of cdf Y i<n N
Conclusion The European part of Turkey is characterized by • Random annual mean streamflow data with • Negative jump • Negative trend • Non-normal pdf