Reconstruction of missing daily streamflow data using dynamic regression models

Patricia Tencaliec 1 Anne-Catherine Favre 2 Clémentine Prieur 1 Thibault Mathevet 3
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, UGA - Université Grenoble Alpes, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : River discharge is one of the most important quantities in hydrology. It provides fundamental records for water resources management and climate change monitoring. Even very short data-gaps in this information can cause extremely different analysis outputs. Therefore, reconstructing missing data of incomplete data sets is an important step regarding the performance of the environmental models, engineering, and research applications, thus it presents a great challenge. The objective of this paper is to introduce an effective technique for reconstructing missing daily discharge data when one has access to only daily streamflow data. The proposed procedure uses a combination of regression and autoregressive integrated moving average models (ARIMA) called dynamic regression model. This model uses the linear relationship between neighbor and correlated stations and then adjusts the residual term by fitting an ARIMA structure. Application of the model to eight daily streamflow data for the Durance river watershed showed that the model yields reliable estimates for the missing data in the time series. Simulation studies were also conducted to evaluate the performance of the procedure.
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Patricia Tencaliec, Anne-Catherine Favre, Clémentine Prieur, Thibault Mathevet. Reconstruction of missing daily streamflow data using dynamic regression models. Water Resources Research, American Geophysical Union, 2015, 51 (12), pp.9447-9463. ⟨10.1002/2015WR017399⟩. ⟨hal-01245238⟩

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