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Hydrological data assimilation with the ensemble Kalman filter: Use of streamflow observations to update states in a distributed hydrological model
Authors:Martyn P Clark  David E Rupp  Ross A Woods  Xiaogu Zheng  Richard P Ibbitt  Andrew G Slater  Jochen Schmidt  Michael J Uddstrom
Institution:1. National Institute for Water and Atmospheric Research (NIWA), 10 Kyle Street, Riccarton, Christchurch, New Zealand;2. Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, CO 80309, USA
Abstract:This paper describes an application of the ensemble Kalman filter (EnKF) in which streamflow observations are used to update states in a distributed hydrological model. We demonstrate that the standard implementation of the EnKF is inappropriate because of non-linear relationships between model states and observations. Transforming streamflow into log space before computing error covariances improves filter performance. We also demonstrate that model simulations improve when we use a variant of the EnKF that does not require perturbed observations. Our attempt to propagate information to neighbouring basins was unsuccessful, largely due to inadequacies in modelling the spatial variability of hydrological processes. New methods are needed to produce ensemble simulations that both reflect total model error and adequately simulate the spatial variability of hydrological states and fluxes.
Keywords:Assimilation  Streamflow  Ensemble
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