Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Reversing hydrology
T2 - estimation of sub-hourly rainfall time-series from streamflow
AU - Kretzschmar, Ann
AU - Tych, Wlodek
AU - Chappell, Nick A
PY - 2014/10
Y1 - 2014/10
N2 - A novel solution to the estimation of catchment rainfall at a sub-hourly resolution from measured streamflow is introduced and evaluated for two basins with markedly different flow pathways and rainfall regimes. It combines a continuous-time transfer function model with regularised derivative estimates obtained using a recursive method with capacity for handling missing data. The method has general implications for off-line estimation of unknown inputs as well as robust estimation of derivatives. It is compared with an existing approach using a range of model metrics, including residuals analysis and visuals; and is shown to recover the salient features of the observed, sub-hourly rainfall, sufficient to produce a precise estimate of streamflow, indistinguishable from the output of the catchment model in response to the observed rainfall data. Results indicate potential for use of this method in environment-related applications for periods lacking sub-hourly rainfall observations.
AB - A novel solution to the estimation of catchment rainfall at a sub-hourly resolution from measured streamflow is introduced and evaluated for two basins with markedly different flow pathways and rainfall regimes. It combines a continuous-time transfer function model with regularised derivative estimates obtained using a recursive method with capacity for handling missing data. The method has general implications for off-line estimation of unknown inputs as well as robust estimation of derivatives. It is compared with an existing approach using a range of model metrics, including residuals analysis and visuals; and is shown to recover the salient features of the observed, sub-hourly rainfall, sufficient to produce a precise estimate of streamflow, indistinguishable from the output of the catchment model in response to the observed rainfall data. Results indicate potential for use of this method in environment-related applications for periods lacking sub-hourly rainfall observations.
KW - Hydrology
KW - Inverse modelling
KW - Transfer function
KW - Regularization
KW - Input estimation
KW - Derivative estimation
KW - Hydrograph
KW - Hyetograph
KW - Data- Based Mechanistic Modelling
U2 - 10.1016/j.envsoft.2014.06.017
DO - 10.1016/j.envsoft.2014.06.017
M3 - Journal article
VL - 60
SP - 290
EP - 301
JO - Environmental Modelling and Software
JF - Environmental Modelling and Software
SN - 1364-8152
ER -