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Comparison between Two Different Conceptual Mathematical Models in Prediction of Direct Runoff Hydrographs from a Small Watershed


Affiliations
1 Department of Soil and Water Conservation Engineering, Dr. Panjabrao Deshmukh Krushi Vidyapeeth, Akola (M.S.), India
2 Zonal Agricultural Research Station, Shenda Park (M.P.K.V.), Karveer (M.S.), India
3 Jain Irrigation Systems Ltd., Ramthal Lift Irrigation Scheme, Bagalkot (Karnataka), India
4 Department of Soil and Water Conservation Engineering, G.B. Pant University of Agriculture and Technology, Pantnagar(Uttarakhand), India
     

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In the present study, two mathematical models namely (i) Lag and route model and (ii) Muskingum model which are based on unit-step and transfer functions approach were developed for runoff prediction from Shenda park watershed treating the watershed as lumped, linear and time-invariant system. The hydrological data of the study watershed were collected from zonal station of National Agricultural Research Project, Shenda Park, Kolhapur (M.S.) for the years 2000 to 2008. Out of twelve single storm events, nine storm events were included in the analysis for parameters estimation and remaining three storm events were considered for prediction purposes. The model parameters, viz., lag time and (τ) and storage co-efficient (K) of Lag and route model were estimated by the methods of cumulants (Singh, 1988) and moments (Nash, 1957) whereas the model parameter storage constant (K) for Muskingum model was estimated by using method suggested by Jawed (1973). Performance evaluation of these two developed model in determining direct runoff hydrograph ordinates were evaluated using various statistical indices such as correlation co-efficient (R), special correlation co-efficient (Rs.), co-efficient of efficiency (CE) and ischolar_main mean square error (RMSE). The results showed that both the developed model can be used for prediction of the direct run off hydrograph from the study watershed, however, direct runoff hydrographs obtained through Muskingun models are much closer to actual observed direct runoff hydrograph than that of Lag and route model.

Keywords

Lag and Route Model, Muskingum Model, Unit-Step Transfer Functions.
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  • Comparison between Two Different Conceptual Mathematical Models in Prediction of Direct Runoff Hydrographs from a Small Watershed

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Authors

S. N. Bansude
Department of Soil and Water Conservation Engineering, Dr. Panjabrao Deshmukh Krushi Vidyapeeth, Akola (M.S.), India
G. L. Chunale
Zonal Agricultural Research Station, Shenda Park (M.P.K.V.), Karveer (M.S.), India
A. A. Shinde
Jain Irrigation Systems Ltd., Ramthal Lift Irrigation Scheme, Bagalkot (Karnataka), India
Pravendra Kumar
Department of Soil and Water Conservation Engineering, G.B. Pant University of Agriculture and Technology, Pantnagar(Uttarakhand), India

Abstract


In the present study, two mathematical models namely (i) Lag and route model and (ii) Muskingum model which are based on unit-step and transfer functions approach were developed for runoff prediction from Shenda park watershed treating the watershed as lumped, linear and time-invariant system. The hydrological data of the study watershed were collected from zonal station of National Agricultural Research Project, Shenda Park, Kolhapur (M.S.) for the years 2000 to 2008. Out of twelve single storm events, nine storm events were included in the analysis for parameters estimation and remaining three storm events were considered for prediction purposes. The model parameters, viz., lag time and (τ) and storage co-efficient (K) of Lag and route model were estimated by the methods of cumulants (Singh, 1988) and moments (Nash, 1957) whereas the model parameter storage constant (K) for Muskingum model was estimated by using method suggested by Jawed (1973). Performance evaluation of these two developed model in determining direct runoff hydrograph ordinates were evaluated using various statistical indices such as correlation co-efficient (R), special correlation co-efficient (Rs.), co-efficient of efficiency (CE) and ischolar_main mean square error (RMSE). The results showed that both the developed model can be used for prediction of the direct run off hydrograph from the study watershed, however, direct runoff hydrographs obtained through Muskingun models are much closer to actual observed direct runoff hydrograph than that of Lag and route model.

Keywords


Lag and Route Model, Muskingum Model, Unit-Step Transfer Functions.