Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 22, issue 2
Articles | Volume 22, issue 2
https://doi.org/10.5194/hess-22-1175-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/hess-22-1175-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 22, issue 2
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

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Latest update: 09 May 2025
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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.
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