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Multivariate Rainfall - Runoff Modeling of Kulfo River

[ Vol. 4 , Issue. 3 ]


Rashmi Nigam and Sudhir Nigam*   Pages 177 - 188 ( 12 )


Background: In arid region the river runoff is mainly consequence of rainfall over the river catchment area. Surface water discharge and base flow from the tributaries or other water sources e.g. lake, pond, glacier melting etc. also influences the river runoff. However, the way of contribution of rainfall and water discharge from other sources are dissimilar to impart river runoff.

Method: In this paper simulation study of rainfall and runoff data of Kulfo River of Southern Ethiopia is carried out. Descriptive statistical and graphical techniques are used to comprehend and identify the inherent characteristics of raw data of river runoff and associated rainfall. The twenty years rainfall and runoff time series of Kulfo River is used to develop Transfer Function Model which is then after used to forecast the river runoff. The overall performance of the model was evaluated using statistical model evaluation criteria and working out the error statistics between the observed river runoff and model forecasts.

Results: The results of runoff forecasting of Kulfo River for the next two year indicates that transfer function model performs excellently. The model results are outstanding to meet the mean river discharge and concurrently well capture the high and low values of runoff.

Conclusion: Stochastic Transfer Function Model based upon the analysis of Time Series of Rainfall and River Runoff is an efficient tool for forecast of River runoff, quantification of River discharge, flood warning etc.


Runoff, modeling rainfall, autocorrelation, cross correlation, transfer function, stochastic.


Department of Mathematics, UIT, Rajiv Gandhi Technical University, Bhopal MP, Department of Civil Engineering, LNCTS, Raisen Road, Bhopal, MP

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