An improved practical approach for estimating catchment‐scale response functions through wavelet analysis

Dwivedi, Ravindra; Eastoe, Christopher J.; Knowles, John F.; Hamann, Lejon; Meixner, T.; Ferré, T. P. A.; Castro, Christopher L.; Wright, William E.; Niu, Guo‐Yue; Minor, R. L.; Barron‐Gafford, Greg A.; Abramson, Nate; Mitra, Bhaskar; Papuga, S. A.; Stanley, Michael; Chorover, Jon

doi:10.1002/hyp.14082

Cited by 5 publications

(35 citation statements)

References 74 publications

(169 reference statements)

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“…We discuss potential reasons for bias in the Fyw literature toward both stable isotope tracers and annual cyclic variations and broaden the Fyw approach by using both stable water isotope and 3 H tracers simultaneously. The present study complements Dwivedi et al (2021) who estimated TTD and mTT for shallow groundwater storages at the same study site using gamma distributions fitted to stable water isotope time series data in precipitation and streamflow.…”

Section: Introductionmentioning

confidence: 57%

“…The catchment-scale time series of δ 18 O in precipitation was calculated as the unweighted mean of results from all stations and was characterized by irregular time intervals between WY 2008 through WY 2012. (Heidbüchel et al (2012); Dwivedi et al (2021).…”

Section: Precipitationmentioning

confidence: 99%

“…3 Method description and previous results Dwivedi et al (2021) proposed an improved practical approach for estimating the TTD of stream water using long-term measurements of hydrologic fluxes and δ 18 O in precipitation and streamflow.…”

Section: Inset)mentioning

confidence: 99%

“…Thus, parallel exponential models (Seeger and Weiler, 2014;Hrachowitz et al, 2009) and exponential piston flow models (Georgek et al, 2017) are excluded here. The specific TTD types evaluated by the current study were Piston Flow (PF), Exponential (Exp), Gamma (Gam), Fixed path onedimensional advection dispersion (ADE-1x), and Multiple path one-dimensional advection dispersion (ADE-nx) (Dwivedi et al, 2021).…”

Section: Tritium-based Ttd and Mtt Estimationmentioning

confidence: 99%

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Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment

Dwivedi

Eastoe

Knowles

et al. 2021

Preprint

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Abstract. Current understanding of the dynamic flow paths and subsurface water storages that support streamflow in mountain catchments is inhibited by the lack of long-term hydrologic data and the frequent use of single age tracers that are not applicable to older groundwater reservoirs. To address this, the current study used both multiple metrics and tracers to characterize the transient nature of flow paths with respect to change in catchment storage at Marshall Gulch, a sub-humid headwater catchment in the Santa Catalina Mountains, Arizona, USA. The fraction of streamflow that was untraceable using stable water isotope tracers was also estimated. A Gamma-type transit time distribution (TTD) was appropriate for deep groundwater analysis, but there were errors in the TTD shape parameters arising from the short record length of 3H in deep groundwater and stream water, and inconsistent seasonal cyclicity of the precipitation 3H time series data. Overall, the mean transit time calculated from 3H data was more than two decades greater than the mean transit time based on δ18O at the same site. The fraction of young water (Fyw) in shallow groundwater was estimated from δ18O time series data using weighted wavelet transform (WWT), iteratively re-weighted least squares (IRLS), and TTD-based methods. Estimates of Fyw depended on sampling frequency, the method of estimation, bedrock geology, hydroclimate, and factors affecting streamflow generation processes. The coupled use of Fyw and discharge sensitivity indicated highly dynamic flow paths that reorganized with changes in shallow catchment storage. The utility of 3H to determining Fyw in deeper groundwater was limited by data quality. Given that Fyw, discharge sensitivity, and mean transit time all yield unique information, this work demonstrates how co-application of multiple methods can yield a more complete understanding of the transient flow paths and observable storage volumes that contribute to streamflow in mountain headwater catchments.

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Section: Introductionmentioning

confidence: 57%

Section: Precipitationmentioning

confidence: 99%

Section: Inset)mentioning

confidence: 99%

Section: Tritium-based Ttd and Mtt Estimationmentioning

confidence: 99%

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Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment

Dwivedi

Eastoe

Knowles

et al. 2021

Preprint

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“…Note that the ranges of periods considered for the two tracers are different in Figure S2. Specifically, for the δ 18 O tracer, periods range from 2 days, which is based on the median daily sampling interval for stable water isotopes in precipitation and stream water at MGC, to 5 years, which is the maximum period that can be addressed using the present dataset (Dwivedi et al, 2021). In contrast, the periods considered for the 3 H tracer range from 1 year, based on halfyearly sampling for 3 H in Tucson precipitation, to 27 years, which corresponds to the extent of the dataset for 3 H in Tucson precipitation, 1992 to 2018 (Figure S1 above).…”

Section: S1 Comparison Of the Amplitude Ratio Of Output To Input Flux Cycles At Various Periodsmentioning

confidence: 99%

Supplementary material to "Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment"

Dwivedi¹,

Eastoe²,

Knowles³

et al. 2021

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Tandem Use of Multiple Tracers and Metrics to Identify Dynamic and Slow Hydrological Flowpaths

Dwivedi¹,

Eastoe²,

Knowles³

et al. 2022

Front. Water

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Current understanding of the dynamic and slow flow paths that support streamflow in mountain headwater catchments is inhibited by the lack of long-term hydrogeochemical data and the frequent use of short residence time age tracers. To address this, the current study combined the traditional mean transit time and the state-of-the-art fraction of young water (Fyw) metrics with stable water isotopes and tritium tracers to characterize the dynamic and slow flow paths at Marshall Gulch, a sub-humid headwater catchment in the Santa Catalina Mountains, Arizona, USA. The results show that Fyw varied significantly with period when using sinusoidal curve fitting methods (e.g., iteratively re-weighted least squares or IRLS), but not when using the transit time distribution (TTD)-based method. Therefore, Fyw estimates from TTD-based methods may be particularly useful for intercomparison of dynamic flow behavior between catchments. However, the utility of 3H to determine Fyw in deeper groundwater was limited due to both data quality and inconsistent seasonal cyclicity of the precipitation 3H time series data. Although a Gamma-type TTD was appropriate to characterize deep groundwater, there were large uncertainties in the estimated Gamma TTD shape parameter arising from the short record length of 3H in deep groundwater. This work demonstrates how co-application of multiple metrics and tracers can yield a more complete understanding of the dynamic and slow flow paths and observable deep groundwater storage volumes that contribute to streamflow in mountain headwater catchments.

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An improved practical approach for estimating catchment‐scale response functions through wavelet analysis

Cited by 5 publications

References 74 publications

Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment

Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment

Supplementary material to "Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment"

Tandem Use of Multiple Tracers and Metrics to Identify Dynamic and Slow Hydrological Flowpaths

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An improved practical approach for estimating catchment‐scale response functions through wavelet analysis

Cited by 5 publications

References 74 publications

Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment

Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment

Supplementary material to &quot;Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment&quot;

Tandem Use of Multiple Tracers and Metrics to Identify Dynamic and Slow Hydrological Flowpaths

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Supplementary material to "Tandem use of transit time distribution and fraction of young water reveals the dynamic flow paths supporting streamflow at a mountain headwater catchment"