Articles | Volume 22, issue 2
https://doi.org/10.5194/hess-22-1175-2018
https://doi.org/10.5194/hess-22-1175-2018
Research article
 | 
12 Feb 2018
Research article |  | 12 Feb 2018

Evaluation of statistical methods for quantifying fractal scaling in water-quality time series with irregular sampling

Qian Zhang, Ciaran J. Harman, and James W. Kirchner

Related authors

mesas.py v1.0: a flexible Python package for modeling solute transport and transit times using StorAge Selection functions
Ciaran J. Harman and Esther Xu Fei
Geosci. Model Dev., 17, 477–495, https://doi.org/10.5194/gmd-17-477-2024,https://doi.org/10.5194/gmd-17-477-2024, 2024
Short summary
A data-driven method for estimating the composition of end-members from stream water chemistry time series
Esther Xu Fei and Ciaran Joseph Harman
Hydrol. Earth Syst. Sci., 26, 1977–1991, https://doi.org/10.5194/hess-26-1977-2022,https://doi.org/10.5194/hess-26-1977-2022, 2022
Short summary
Spatial and temporal variation in river corridor exchange across a 5th-order mountain stream network
Adam S. Ward, Steven M. Wondzell, Noah M. Schmadel, Skuyler Herzog, Jay P. Zarnetske, Viktor Baranov, Phillip J. Blaen, Nicolai Brekenfeld, Rosalie Chu, Romain Derelle, Jennifer Drummond, Jan H. Fleckenstein, Vanessa Garayburu-Caruso, Emily Graham, David Hannah, Ciaran J. Harman, Jase Hixson, Julia L. A. Knapp, Stefan Krause, Marie J. Kurz, Jörg Lewandowski, Angang Li, Eugènia Martí, Melinda Miller, Alexander M. Milner, Kerry Neil, Luisa Orsini, Aaron I. Packman, Stephen Plont, Lupita Renteria, Kevin Roche, Todd Royer, Catalina Segura, James Stegen, Jason Toyoda, Jacqueline Hager, and Nathan I. Wisnoski
Hydrol. Earth Syst. Sci., 23, 5199–5225, https://doi.org/10.5194/hess-23-5199-2019,https://doi.org/10.5194/hess-23-5199-2019, 2019
Short summary
Co-located contemporaneous mapping of morphological, hydrological, chemical, and biological conditions in a 5th-order mountain stream network, Oregon, USA
Adam S. Ward, Jay P. Zarnetske, Viktor Baranov, Phillip J. Blaen, Nicolai Brekenfeld, Rosalie Chu, Romain Derelle, Jennifer Drummond, Jan H. Fleckenstein, Vanessa Garayburu-Caruso, Emily Graham, David Hannah, Ciaran J. Harman, Skuyler Herzog, Jase Hixson, Julia L. A. Knapp, Stefan Krause, Marie J. Kurz, Jörg Lewandowski, Angang Li, Eugènia Martí, Melinda Miller, Alexander M. Milner, Kerry Neil, Luisa Orsini, Aaron I. Packman, Stephen Plont, Lupita Renteria, Kevin Roche, Todd Royer, Noah M. Schmadel, Catalina Segura, James Stegen, Jason Toyoda, Jacqueline Hager, Nathan I. Wisnoski, and Steven M. Wondzell
Earth Syst. Sci. Data, 11, 1567–1581, https://doi.org/10.5194/essd-11-1567-2019,https://doi.org/10.5194/essd-11-1567-2019, 2019
Short summary
Advancing catchment hydrology to deal with predictions under change
U. Ehret, H. V. Gupta, M. Sivapalan, S. V. Weijs, S. J. Schymanski, G. Blöschl, A. N. Gelfan, C. Harman, A. Kleidon, T. A. Bogaard, D. Wang, T. Wagener, U. Scherer, E. Zehe, M. F. P. Bierkens, G. Di Baldassarre, J. Parajka, L. P. H. van Beek, A. van Griensven, M. C. Westhoff, and H. C. Winsemius
Hydrol. Earth Syst. Sci., 18, 649–671, https://doi.org/10.5194/hess-18-649-2014,https://doi.org/10.5194/hess-18-649-2014, 2014

Related subject area

Subject: Catchment hydrology | Techniques and Approaches: Modelling approaches
Multi-decadal fluctuations in root zone storage capacity through vegetation adaptation to hydro-climatic variability have minor effects on the hydrological response in the Neckar River basin, Germany
Siyuan Wang, Markus Hrachowitz, and Gerrit Schoups
Hydrol. Earth Syst. Sci., 28, 4011–4033, https://doi.org/10.5194/hess-28-4011-2024,https://doi.org/10.5194/hess-28-4011-2024, 2024
Short summary
Projected future changes in the cryosphere and hydrology of a mountainous catchment in the upper Heihe River, China
Zehua Chang, Hongkai Gao, Leilei Yong, Kang Wang, Rensheng Chen, Chuntan Han, Otgonbayar Demberel, Batsuren Dorjsuren, Shugui Hou, and Zheng Duan
Hydrol. Earth Syst. Sci., 28, 3897–3917, https://doi.org/10.5194/hess-28-3897-2024,https://doi.org/10.5194/hess-28-3897-2024, 2024
Short summary
On the importance of plant phenology in the evaporative process of a semi-arid woodland: could it be why satellite-based evaporation estimates in the miombo differ?
Henry M. Zimba, Miriam Coenders-Gerrits, Kawawa E. Banda, Petra Hulsman, Nick van de Giesen, Imasiku A. Nyambe, and Hubert H. G. Savenije
Hydrol. Earth Syst. Sci., 28, 3633–3663, https://doi.org/10.5194/hess-28-3633-2024,https://doi.org/10.5194/hess-28-3633-2024, 2024
Short summary
Regionalization of GR4J model parameters for river flow prediction in Paraná, Brazil
Louise Akemi Kuana, Arlan Scortegagna Almeida, Emílio Graciliano Ferreira Mercuri, and Steffen Manfred Noe
Hydrol. Earth Syst. Sci., 28, 3367–3390, https://doi.org/10.5194/hess-28-3367-2024,https://doi.org/10.5194/hess-28-3367-2024, 2024
Short summary
Evolution of river regimes in the Mekong River basin over 8 decades and the role of dams in recent hydrological extremes
Huy Dang and Yadu Pokhrel
Hydrol. Earth Syst. Sci., 28, 3347–3365, https://doi.org/10.5194/hess-28-3347-2024,https://doi.org/10.5194/hess-28-3347-2024, 2024
Short summary

Cited articles

Aubert, A. H., Kirchner, J. W., Gascuel-Odoux, C., Faucheux, M., Gruau, G., and Mérot, P.: Fractal water quality fluctuations spanning the periodic table in an intensively farmed watershed, Environ. Sci. Technol., 48, 930–937, https://doi.org/10.1021/es403723r, 2014.
Beran, J.: Long-range dependence, Wiley Interdiscip. Rev. Comput. Stat., 2, 26–35, https://doi.org/10.1002/wics.52, 2010.
Beran, J., Feng, Y., Ghosh, S., and Kulik, R.: Long-Memory Processes: Probabilistic Properties and Statistical Methods, Berlin, Heidelberg, Springer Berlin Heidelberg, 884 pp., 2013.
Boutahar, M., Marimoutou, V., and Nouira, L.: Estimation Methods of the Long Memory Parameter: Monte Carlo Analysis and Application, J. Appl. Stat., 34, 261–301, https://doi.org/10.1080/02664760601004874, 2007.
Box, G. E. P., Jenkins, G. M., and Reinsel, G. C.: Time Series Analysis, Fourth Edition. Hoboken, NJ, John Wiley & Sons, Inc., 47–92, 2008.
Download
Short summary
River water-quality time series often exhibit fractal scaling, which here refers to autocorrelation that decays as a power law over some range of scales. This paper provides a comprehensive overview of the various approaches for quantifying fractal scaling in irregularly sampled data and provides new understanding and quantification of the methods’ performances. More generally, the findings and approaches may be broadly applicable to irregularly sampled data in other scientific disciplines.