Articles | Volume 383
https://doi.org/10.5194/piahs-383-135-2020
https://doi.org/10.5194/piahs-383-135-2020
Post-conference publication
 | 
16 Sep 2020
Post-conference publication |  | 16 Sep 2020

Long-term persistence in discharge time series of mountainous catchments in the Elbe River basin

Ondrej Ledvinka and Thomas Recknagel

Related authors

Importance of snowmelt contribution to seasonal runoff and summer low flows in Czechia
Michal Jenicek and Ondrej Ledvinka
Hydrol. Earth Syst. Sci., 24, 3475–3491, https://doi.org/10.5194/hess-24-3475-2020,https://doi.org/10.5194/hess-24-3475-2020, 2020
Short summary
A European Flood Database: facilitating comprehensive flood research beyond administrative boundaries
J. Hall, B. Arheimer, G. T. Aronica, A. Bilibashi, M. Boháč, O. Bonacci, M. Borga, P. Burlando, A. Castellarin, G. B. Chirico, P. Claps, K. Fiala, L. Gaál, L. Gorbachova, A. Gül, J. Hannaford, A. Kiss, T. Kjeldsen, S. Kohnová, J. J. Koskela, N. Macdonald, M. Mavrova-Guirguinova, O. Ledvinka, L. Mediero, B. Merz, R. Merz, P. Molnar, A. Montanari, M. Osuch, J. Parajka, R. A. P. Perdigão, I. Radevski, B. Renard, M. Rogger, J. L. Salinas, E. Sauquet, M. Šraj, J. Szolgay, A. Viglione, E. Volpi, D. Wilson, K. Zaimi, and G. Blöschl
Proc. IAHS, 370, 89–95, https://doi.org/10.5194/piahs-370-89-2015,https://doi.org/10.5194/piahs-370-89-2015, 2015
Evolution of low flows in Czechia revisited
O. Ledvinka
Proc. IAHS, 369, 87–95, https://doi.org/10.5194/piahs-369-87-2015,https://doi.org/10.5194/piahs-369-87-2015, 2015
Short summary

Cited articles

Beran, J.: Statistics for Long-Memory Processes, Chapman & Hall, New York, 1994. 
Borchers, H. W.: pracma: Practical Numerical Math Functions, R package version 2.2.9, available at: https://CRAN.R-project.org/package=pracma (last access: 21 April 2020), 2019. 
Garcia, C. A.: nonlinearTseries: Nonlinear Time Series Analysis, R package version 0.2.8, available at: https://CRAN.R-project.org/package=nonlinearTseries (last access: 21 April 2020), 2020. 
Graves, T., Gramacy, R., Watkins, N., and Franzke, C.: A brief history of long memory: Hurst, Mandelbrot and the road to ARFIMA, 1951–1980, Entropy, 19, 437, https://doi.org/10.3390/e19090437, 2017. 
Hamed, K. H.: Trend detection in hydrologic data: the Mann–Kendall trend test under the scaling hypothesis, J. Hydrol., 349, 350–363, https://doi.org/10.1016/j.jhydrol.2007.11.009, 2008. 
Download
Short summary
Various estimators of the Hurst exponent characterizing long-term persistence exist, while the values estimated by them may differ. The contribution reviews the possible reasons causing the presence of long-term persistence in time series. Based on the six, relatively long discharge time series from mountainous catchments located in the Elbe River basin close to the borders between Czechia and Germany and two selected estimators, it is shown that the length of time series plays a crucial role.