Hysteresis and scale in catchment storage, flow and transport

Jessica A. C. Davies; Keith Beven

doi:10.1002/hyp.10511

journal article Open Access Jun 18, 2015

Hysteresis and scale in catchment storage, flow and transport

Jessica A. C. Davies

Keith Beven

Hydrological Processes Vol. 29 No. 16 pp. 3604-3615 · Wiley

View at Publisher Save 10.1002/hyp.10511

Abstract

AbstractThe closure problem of representing hydrological boundary fluxes given the state of the system has been described as the scientific ‘Holy Grail’ of hydrology. This relationship between storage state and flux should be hysteretic and scale dependent because of the differences between velocities and celerities in a hydrological system—effectively velocities are storage controlled, and celerities are controlled by storage deficits. To improve our understanding of the nature of these relationships a new hydrology model is used (the Multiple Interacting Pathways or MIPs model) to explore the influence of catchment scale on storage–flow–transport relationships, and their non‐linearities. The MIPs model has been shown to produce acceptable simulations of both flow and tracer, i.e. of both celerities and velocities, at the Gårdsjön catchment in Sweden. In this study the model is used to simulate scaled versions of the Gårdsjön catchment to allow us for the first time to investigate the influence of scale on the non‐linearities in storage–flow–transport relationships, and help us steer the quest for the scientific hydrological ‘Holy Grail’. The simulations reveal the influence of scale on flow response in the nature of storage–discharge hysteresis and its links with antecedent storage; fractal‐like systematic change of mean output travel times with scale; the effect of scale on input, output and storage residence time distributions; hysteric relations between storage and output travel times and links between storage and water table level hysteresis. © 2015 The Authors. Hydrological Processes published by John Wiley & Sons Ltd.

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Details

Published: Jun 18, 2015
Vol/Issue: 29(16)
Pages: 3604-3615
License: View

Authors

J

Jessica A. C. Davies

Lancaster Environment Centre Lancaster University UK

K

Keith Beven

Lancaster Environment Centre Lancaster University UK; Department of Earth Sciences Uppsala University Sweden

Funding

Natural Environment Research Council Award: NE/G017123/1

Cite This Article

Jessica A. C. Davies, Keith Beven (2015). Hysteresis and scale in catchment storage, flow and transport. Hydrological Processes, 29(16), 3604-3615. https://doi.org/10.1002/hyp.10511

Hysteresis and scale in catchment storage, flow and transport

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