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Coupling wavelet transform with time series models to estimate groundwater level

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Abstract

Modeling and forecasting groundwater level is useful to develop managerial activities. This study was carried out to evaluate the wavelet-time series models to estimate groundwater levels. First, three time series models, i.e., autoregressive moving average (ARMA), autoregressive integrated moving average model (ARIMA), and SARIMA were used in their single form to predict groundwater level for different time steps in two sub-basins in Mashhad plain, Iran. In the next step, these models were combined with transformation. Results showed that the single models do not have a strong ability to cope with the non linearity and seasonality behavior of data. However, combination of these models with wavelet transformation could improve groundwater level modeling. Results showed that wavelet-SARIMA hybrid model had the best performance. In addition, it is concluded that all modeling approaches are satisfactory only to forecast groundwater level for 1 and 2 months ahead. This study also showed that these models forecasted groundwater level for 1 and 2 months ahead accurately but their accuracy decreases for 3 and 4 months ahead.

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Correspondence to Forough Rezaeian.

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Behnia, N., Rezaeian, F. Coupling wavelet transform with time series models to estimate groundwater level. Arab J Geosci 8, 8441–8447 (2015). https://doi.org/10.1007/s12517-015-1829-0

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  • DOI: https://doi.org/10.1007/s12517-015-1829-0

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