2019
DOI: 10.1029/2018wr024579
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Improving the Spectral Analysis of Hydrological Signals to Efficiently Constrain Watershed Properties

Abstract: The footprint of catchment properties on water flow is reflected into hydrological signals, such as stream discharge. Here we demonstrate that it is possible to constrain catchment properties from the spectral analysis of hydrological signals but only when an appropriate transfer function (TF) is used for interpretation. We show that the appropriate theoretical TF, newly derived, is the only one to robustly describe a large diversity of experimental TFs that could be encountered in nature, because it entails t… Show more

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Cited by 31 publications
(31 citation statements)
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“…Fourier‐transform‐based spectral analysis and other filtering techniques have had some practical applications in hydrology (e.g., Fleming, Lavenue, Aly, & Adams, 2002; Sang, Wang, & Liu, 2012; Schaefli, Maraun, & Holschneider, 2007), but their potential for comprehensively analysing hydrologic time‐series has not been fully realized. Care must be taken to choose an appropriate transfer function, however, as misinformed application can lead to misinterpretations of the data (Du, Zhao, & Lei, 2017; Schuite, Flipo, Massei, Rivière, & Baratelli, 2019).…”
Section: Methodsmentioning
confidence: 99%
“…Fourier‐transform‐based spectral analysis and other filtering techniques have had some practical applications in hydrology (e.g., Fleming, Lavenue, Aly, & Adams, 2002; Sang, Wang, & Liu, 2012; Schaefli, Maraun, & Holschneider, 2007), but their potential for comprehensively analysing hydrologic time‐series has not been fully realized. Care must be taken to choose an appropriate transfer function, however, as misinformed application can lead to misinterpretations of the data (Du, Zhao, & Lei, 2017; Schuite, Flipo, Massei, Rivière, & Baratelli, 2019).…”
Section: Methodsmentioning
confidence: 99%
“…To quantify how river discharge and temperature signals are retranscribed in the hyporheic zone, a simple relation is used to calculate the experimental transfer function (TF) (Duffy & Gelhar, ; Gelhar, ; Pedretti et al, ; Schuite et al, ; Wörman et al, ) TFtemp=PSDTHZPSDTs, TFflow=PSDHEFPSDnormald, where PSDTHZ, PSDTs, PSDHEF, and PSDnormald are the power spectral density of temperature of exfiltrating hyporheic exchange fluxes, river temperature, hyporheic exchange fluxes, and river discharge, respectively. In this case, high values of TF correspond to frequencies that are minimally filtered while low values correspond to frequencies that are preferentially filtered.…”
Section: Methodsmentioning
confidence: 99%
“…In addition, further analysis on Paris' Austerlitz gauging station, which includes very large groundwater support, reveals the same absence of phaseamplitude interaction in discharge (not shown, Flipo et al (2020)). Possible explanations include the frequency partitioning of watershed compartments or integration process along the river network breaks any spatial connection and thus smooths out and flattens phase-amplitude interactions (Schuite et al, 2019).…”
Section: Cross-scale Interactionsmentioning
confidence: 99%