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Groundwater depth prediction in a shallow aquifer in north China by a quantile regression model
Authors:Fawen Li  Wan Wei  Yong Zhao  Jiale Qiao
Institution:1.State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University,Tianjin,People’s Republic of China;2.State Key Laboratory of Simulation and Regulation of the Water Cycle in the River Basin,China Institute of Water Resources and Hydro-power Research,Beijing,People’s Republic of China;3.Tianjin Zhongshui Science and Technology Consulting Co. Ltd.,Tianjin,China
Abstract:There is a close relationship between groundwater level in a shallow aquifer and the surface ecological environment; hence, it is important to accurately simulate and predict the groundwater level in eco-environmental construction projects. The multiple linear regression (MLR) model is one of the most useful methods to predict groundwater level (depth); however, the predicted values by this model only reflect the mean distribution of the observations and cannot effectively fit the extreme distribution data (outliers). The study reported here builds a prediction model of groundwater-depth dynamics in a shallow aquifer using the quantile regression (QR) method on the basis of the observed data of groundwater depth and related factors. The proposed approach was applied to five sites in Tianjin city, north China, and the groundwater depth was calculated in different quantiles, from which the optimal quantile was screened out according to the box plot method and compared to the values predicted by the MLR model. The results showed that the related factors in the five sites did not follow the standard normal distribution and that there were outliers in the precipitation and last-month (initial state) groundwater-depth factors because the basic assumptions of the MLR model could not be achieved, thereby causing errors. Nevertheless, these conditions had no effect on the QR model, as it could more effectively describe the distribution of original data and had a higher precision in fitting the outliers.
Keywords:
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