Identifiability of transient storage model parameters along a mountain stream

C. Kelleher, T. Wagener, B. McGlynn, A. S. Ward, M. N. Gooseff, R. A. Payn

Research output: Research - peer-reviewArticle

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Abstract

Transient storage models are widely used in combination with tracer experiments to characterize stream reaches via calibrated parameter estimates. These parameters quantify the main transport and storage processes. However, it is implicitly assumed that calibrated parameters are uniquely identifiable and hence provide a unique characterization of the stream. We investigate parameter identifiability along with the stream conditions that control identifiability for 10 breakthrough curves (BTC) for 100 m pulse injections along Stringer Creek, Montana, USA. Identifiability is assessed through global, variance-based sensitivity analysis of the one-dimensional transport with inflow and storage model (OTIS). Results indicate that the main channel area parameter A and the dispersion coefficient D were the most sensitive parameters and, therefore, likely to be identifiable across all timescales and reaches. Identifiability of transient storage zone size As fell into two categories along Stringer Creek. As was identifiable for lower elevation regions, corresponding to a constrained valley, higher stream slopes, and in-channel roughness, but not for upper stream regions, corresponding to a wider valley floor, flatter stream slopes, and low roughness. The storage zone exchange parameter α was nonidentifiable across all study reaches. Our results suggest that only some of the processes represented in the model will be relevant and, therefore, identifiable for pulse injection data. As such, calibrated parameter estimates should be accompanied by an assessment of parameter sensitivity or uncertainty. We also show that parameter identifiability varies with stream setting along Stringer Creek, suggesting that physical characteristics directly influence the identification of dominant stream processes. Key Points Transient storage model parameters characterize transport in stream reaches Identifiability of model parameters varies with stream morphology Physical setting controls identifiability and process dominance

LanguageEnglish (US)
Pages5290-5306
Number of pages17
JournalWater Resources Research
Volume49
Issue number9
DOIs
StatePublished - 2013
Externally publishedYes

Fingerprint

mountain stream
parameter
creek
roughness
valley
breakthrough curve
transport process
sensitivity analysis
inflow
tracer
timescale
experiment
storage (process)

Keywords

  • parameter identifiability
  • transient storage modeling

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Kelleher, C., Wagener, T., McGlynn, B., Ward, A. S., Gooseff, M. N., & Payn, R. A. (2013). Identifiability of transient storage model parameters along a mountain stream. Water Resources Research, 49(9), 5290-5306. DOI: 10.1002/wrcr.20413

Identifiability of transient storage model parameters along a mountain stream. / Kelleher, C.; Wagener, T.; McGlynn, B.; Ward, A. S.; Gooseff, M. N.; Payn, R. A.

In: Water Resources Research, Vol. 49, No. 9, 2013, p. 5290-5306.

Research output: Research - peer-reviewArticle

Kelleher, C, Wagener, T, McGlynn, B, Ward, AS, Gooseff, MN & Payn, RA 2013, 'Identifiability of transient storage model parameters along a mountain stream' Water Resources Research, vol 49, no. 9, pp. 5290-5306. DOI: 10.1002/wrcr.20413
Kelleher C, Wagener T, McGlynn B, Ward AS, Gooseff MN, Payn RA. Identifiability of transient storage model parameters along a mountain stream. Water Resources Research. 2013;49(9):5290-5306. Available from, DOI: 10.1002/wrcr.20413
Kelleher, C. ; Wagener, T. ; McGlynn, B. ; Ward, A. S. ; Gooseff, M. N. ; Payn, R. A./ Identifiability of transient storage model parameters along a mountain stream. In: Water Resources Research. 2013 ; Vol. 49, No. 9. pp. 5290-5306
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