Cd. Tankersley et al., COMPARISON OF UNIVARIATE AND TRANSFER-FUNCTION MODELS OF GROUNDWATER FLUCTUATIONS, Water resources research, 29(10), 1993, pp. 3517-3533
Seasonal autoregressive integrated moving average (SARIMA) univariate
models and single input-single output transfer function (SARIMA with e
xternalities or SARIMAX) models of groundwater head fluctuations are d
eveloped for 21 Upper Floridan aquifer observation wells in northeast
Florida. These models incorporate empirical relationships between rain
fall input and head response based on historical correlations and cros
s correlations between these two time series. The magnitude of the for
ecast error terms indicates that the SARIMA and SARIMAX models explain
an average of 84-87% of the variation observed in the monthly piezome
tric head levels for 1-month lead forecasts. Thus the models account f
or the dominant processes which affect temporal groundwater fluctuatio
ns. Both the SARIMA and SARIMAX models provide unbiased forecasts of p
iezometric head levels; however, the SARIMAX models produce more accur
ate forecasts (i.e., smaller forecast probability limits) than the SAR
IMA models, particularly as lead time increases. Modeling efforts reve
al consistent model structures over the study region, with local hydro
logic and geologic conditions causing site-specific variability in the
time series model parameters.