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Forecasting the Probability of Future Groundwater Levels Declining Below Specified Low Thresholds in the Conterminous U.S.
Authors:Robert W Dudley  Glenn A Hodgkins  Jesse E Dickinson
Institution:1. New England Water Science Center, U.S. Geological Survey, Augusta, MainePaper No. JAWR‐16‐0142‐P of the Journal of the American Water Resources Association (JAWR).;2. New England Water Science Center, U.S. Geological Survey, Augusta, Maine;3. Arizona Water Science Center, U.S. Geological Survey, Tucson, Arizona
Abstract:We present a logistic regression approach for forecasting the probability of future groundwater levels declining or maintaining below specific groundwater‐level thresholds. We tested our approach on 102 groundwater wells in different climatic regions and aquifers of the United States that are part of the U.S. Geological Survey Groundwater Climate Response Network. We evaluated the importance of current groundwater levels, precipitation, streamflow, seasonal variability, Palmer Drought Severity Index, and atmosphere/ocean indices for developing the logistic regression equations. Several diagnostics of model fit were used to evaluate the regression equations, including testing of autocorrelation of residuals, goodness‐of‐fit metrics, and bootstrap validation testing. The probabilistic predictions were most successful at wells with high persistence (low month‐to‐month variability) in their groundwater records and at wells where the groundwater level remained below the defined low threshold for sustained periods (generally three months or longer). The model fit was weakest at wells with strong seasonal variability in levels and with shorter duration low‐threshold events. We identified challenges in deriving probabilistic‐forecasting models and possible approaches for addressing those challenges.
Keywords:groundwater hydrology  groundwater management  statistics  time series analysis  wells
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