Introduction and application of transfer function model to predict the process of rainfall-groundwater level in Golestan province

Document Type : Original Article

Authors

1 MSc in watershed management, Rangeland and Watershed Management Department, Faculty of Agriculture & Natural Resources, University of Gonbad Kavous, Gonbad, Iran

2 Assistant Professor in Engineering Hydrology, Rangeland and Watershed Management Department, Faculty of Agriculture & Natural Resources, University of Gonbad Kavous, Gonbad, Iran

3 Assistant Professor in Environmental hydrogeology, Rangeland and Watershed Management Department, Faculty of Agriculture & Natural Resources, University of Gonbad Kavous, Gonbad, Iran

4 Associate Professor in Statistics, Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran

Abstract
Groundwater is one of the most valuable water resource in Iran, which is mainly influenced by rainfall patterns in a region. In the present study, 30-years rainfall and groundwater level data were used in the three watersheds of Galikesh, Ramian and Mohammadabad to model the rainfall and groundwater level. The prediction of the groundwater level using the rainfall data for the next 12 months was done using the Transfer Function (TF) and using SAS and MINITAB software. Validation of predicted values was done using MAD, RMSE and MAPE indices. The results showed that according to the autocorrelation diagrams, all time series have seasonal trend with a period of 12 months. The results of the autocorrelation diagrams showed that in Galikesh and Mohammadabad watersheds, rainfall has a direct effect on the groundwater level with a delay of three months, but in the Ramian watershed, this delay was one month. It was also found that the transfer function model had a good performance in fitting the monthly groundwater level in all 3 studied watersheds.

Keywords


Bowerman B.L., O’Connel R. 1993. Forecasting and time series: Anapplied approach, Third edition, Amazon Publication, 722 p.
Eslahi M. 2003. Groundwork for the application of transfer function models to forecast rainfall in Tabriz region, 03rd Conference of Numerical Wether Prediction, Atmospheric Science and Meteorological Research Center, Tehran, Iran (In Persian).
Fistikoglu O., Gunduz O., Simsek C. 2016. The correlation between statistically downscaled precipitation data and groundwater level Records in North-Western Turkey. Water Resources Management, 15(7), pp 122 - 129.
Gunduz O., Simsek C. 2011. In fluence of climate change on shallow ground water resources: the link between precipitation and ground water levels in alluvial system. In proceedings of the NATO advanced research workshop (ARW) on climate change and its effects on water resources, edited by A. Baba, G. Tayffur, O.gunduz, K.W.F.Howard, M. J. Fricdel. Journal of Hydrology, 23 (51), pp. 225 - 234.
Jandaghi N., Azimmohseni M., Ghareh Mahmoodlu M. 2021. Rainfall-runoff process modeling using time series transfer function, Environmental Erosion Research Journal, 11(2), pp. 111-128 (In Persian).
Jandaghi N., Ghareh Mahmoodlu M., Nasiri A. 2021. Effect of Wet and Drought Periods on Physico -Chemical Properties of Groundwater Resources in the Eastern Part of Gorgan Plain, Desert Management, 9(2), 63-78 (In Persian).
 
Michiel P., Denie C.M.A., Dimmie M.D.H., Suzanne J.M.H.H. 2020. Applying transfer function-noise modelling to characterize soil moisture dynamics: a data-driven approach using remote sensing data. Environmental Modelling & Software, Vol. 131, pp. 1-15.
Nazeri Y.A., Jandaghi N., Ghareh Mahmoodlu M., Azimmohseni M. 2023. Relationship between rainfall and groundwater level using time-lagged regression, Master's thesis on watershed management, University of Gonbad Kavous, 52 p. (In Persian).
Rashidi S., Mohammadian M., Vagharfard H. 2016. Predicting of Groundwater Level Fluctuation Using ANN and ANFIS in Lailakh plain. International Journal of Advanced Biotechnology and Research, 7 (3), pp. 1078-1084.
Salem A. 2021. Forecasting rainfall in Saudi Arabia via transfer function models. Journal of Research in Environmental and Earth Sciences, 7(1), pp. 6-11.
Willem J.Z., Stefanie A.R.B., Aris L., Wilbert L.B. 2019. Automated Time Series Modeling for Piezometers in the National Database of the Netherlands. Groundwater, 57(6), pp. 834-843.