Note on the cyclic features in cumulative departures of annual flow series

Şen Z.

Journal of Hydrology, vol.125, no.1-2, pp.47-54, 1991 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 125 Issue: 1-2
  • Publication Date: 1991
  • Doi Number: 10.1016/0022-1694(91)90083-t
  • Journal Name: Journal of Hydrology
  • Journal Indexes: Scopus
  • Page Numbers: pp.47-54
  • Istanbul Medipol University Affiliated: No


Harmonic analysis of the cumulative departures of annual flow series from their sample mean values have been performed in detail. The main purpose was to obtain a mathematical model of the cumulative departures that would preserve the Hurst phenomenon. As a result of the analysis it has been observed that in the cumulative departures there exist strong periodicities with the slowest cycles having periods equal to the total sample length. The cyclic features account for more than 95% of the variability in the Hurst coefficients. An alternative to direct simulation of annual sequences for preserving the Hurst phenomenon is suggested in this paper. First the cumulative departures should be simulated and then the annual flow series should be obtained by successive differencing of the generated cumulative departures. © 1991.