2000
DOI: 10.2166/hydro.2000.0003
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Data-based mechanistic modelling and forecasting of hydrological systems

Abstract: The paper presents a data-driven approach to the modelling and forecasting of hydrological systems based on nonlinear time-series analysis. Time varying parameters are estimated using a combined Kalman filter and fixed-interval-smoother, and state-dependent parameter relations are identified leading to nonlinear extensions to common time-series models such as the autoregressive exogenous (ARX) and general transfer function (TF). This nonlinear time-series technique is used as part of a data-based mechanistic m… Show more

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Cited by 47 publications
(43 citation statements)
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“…Another poorly identifiable parameter was the fast flow residence time K f . This was partly because it had been restricted a priori on the basis of the range of values previously found for comparable catchments [Young and Beven, 1994;Lees, 2000;McIntyre and Marshall, 2010] and may have also been because of the trade-off between fitting the smaller and larger flow peaks, as discussed. If a more spatially discretized catchment representation had been used [see, e.g., Bulygina et al, 2009], then surface topography, in particular the channel network characteristics, may have been used to add some physicsbased constraints to this parameter.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Another poorly identifiable parameter was the fast flow residence time K f . This was partly because it had been restricted a priori on the basis of the range of values previously found for comparable catchments [Young and Beven, 1994;Lees, 2000;McIntyre and Marshall, 2010] and may have also been because of the trade-off between fitting the smaller and larger flow peaks, as discussed. If a more spatially discretized catchment representation had been used [see, e.g., Bulygina et al, 2009], then surface topography, in particular the channel network characteristics, may have been used to add some physicsbased constraints to this parameter.…”
Section: Discussionmentioning
confidence: 99%
“…Parameter K f is restricted to vary between 1 and 10 h because of the low fast runoff residence times typically found for small, steep catchments in this region [e.g., Lees, 2000;Young and Beven, 1994;McIntyre and Marshall, 2010]. Other parameter ranges are defined within broad bounds based on UK catchment experience [Wagener et al, 2004].…”
Section: Model Descriptionmentioning
confidence: 99%
“…Nonlinearity in natural systems has been predominantly studied in the past in the form of 'input nonlinearities' as it enables reliable estimation of the model parameters (e.g. Lees (2000) and Young (2000)), and for the same reason this approach was adopted in this study. Furthermore, we consider the results obtained using this approach satisfactory because (as discussed in detail on pages 12-13 of the revised manuscript), the estimated SDP gain does in fact effectively describe variation in the speed of the profile's volume response as well as the direction of volume change (i.e.…”
Section: C1 (B) " …We Do Not Know At This Point What the Form Of Thementioning
confidence: 99%
“…An example of this includes, estimation and prediction of the nonlinearity in rainfall-flow processes, which results in similar rainfall rates producing different rates of river flow due a dependence on the preceding catchment conditions (e.g. wetness) (Young and Beven, 1994;Fawcett, 1999;Lees, 2000;Young, 2000;2003).…”
Section: Introductionmentioning
confidence: 99%
“…This led to numerous examples that have demonstrated the utility of DBM modeling applied to rainfall-flow processes [see e.g., Young, 1998;Lees, 2000;Young, 2001aYoung, , 2003Ratto et al, 2007;Chappell et al, 2006;Ochieng and Otieno, 2009;Young, 2010aYoung, , 2010bBeven et al, 2012;McIntyre et al, 2011, and references therein], including catchments affected by snow melt, where the nonlinearities are more complex .…”
Section: Introductionmentioning
confidence: 99%