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Groundwater Level Prediction/Forecasting and Assessment of Uncertainty Using SGS and ARIMA Models: A Case Study in the Bauru Aquifer System (Brazil)

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Abstract

Best water management practices should involve the prediction of the availability of groundwater resources. To predict/forecast and consequently manage these water resources, two known methods are discussed: a time series method using the autoregressive integrated moving average (ARIMA) and a geostatistical method using sequential Gaussian simulation (SGS). This study was conducted in the Ecological Station of Santa Barbara (EEcSB), located at the Bauru Aquifer System domain, a substantial water source for the countryside of São Paulo State, Brazil. The relevance of this study lies in the fact that the 2013/2014 hydrological year was one of the driest periods ever recorded in São Paulo State, which was directly reflected in the groundwater table level behavior. A hydroclimatological network comprising 49 wells was set up to monitor the groundwater table depths at EEcSB to capture this response. The traditional time series has the advantage that it has been created to forecast and the disadvantage that an interpolation method must also be used to generate a spatially distributed map. On the other hand, a geostatistical approach can generate a map directly. To properly compare the results, both methods were used to predict/forecast the groundwater table levels at the next four measured times at the wells’ locations. The errors show that SGS achieves a slightly higher level of accuracy and considered anomalous events (e.g., severe drought). Meanwhile, the ARIMA models are considered better for monitoring the aquifer because they achieved the same accuracy level as SGS in the 2-month forecast and a higher precision at all periods and can be optimized automatically by using the Akaike information criterion.

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Acknowledgments

The authors are grateful to FAPESP (São Paulo Research Foundation)—Process 2016/09737-4 for financial support during the realization of this study, CAPES (Coordination for the Improvement of Higher Education Personnel) for the first author’s Ph.D. scholarship, and Prof. Dr. Claudio Benedito Baptista Leite (UNIFESP—Brazil) for many discussions.

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Correspondence to Eduardo Henrique de Moraes Takafuji.

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Takafuji, E.H.d., Rocha, M.M. & Manzione, R.L. Groundwater Level Prediction/Forecasting and Assessment of Uncertainty Using SGS and ARIMA Models: A Case Study in the Bauru Aquifer System (Brazil). Nat Resour Res 28, 487–503 (2019). https://doi.org/10.1007/s11053-018-9403-6

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  • DOI: https://doi.org/10.1007/s11053-018-9403-6

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