Figures & data
Table 1. Summary of storage equations (special cases of the proposed general storage Equation (11))
Table 2. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 1 (smooth single-peak inflow and outflow hydrographs)
Figure 1. Observed and estimated hydrographs for example 1 (smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function
![Figure 1. Observed and estimated hydrographs for example 1 (smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function](/cms/asset/4c83359f-df15-4fcf-9661-4f012cfaad65/thsj_a_1957475_f0001_b.gif)
Table 3. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 2 (non-smooth single-peak inflow and outflow hydrographs)
Figure 2. Observed and estimated hydrographs for example 2 (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function
![Figure 2. Observed and estimated hydrographs for example 2 (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function](/cms/asset/e95b78d4-322c-4077-a938-e10c9b348730/thsj_a_1957475_f0002_b.gif)
Table 4. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 3 (multiple-peak inflow and outflow hydrographs)
Figure 3. Observed and estimated hydrographs for example 3 (double-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function
![Figure 3. Observed and estimated hydrographs for example 3 (double-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function](/cms/asset/8ec06a2c-eaf2-4901-97cc-b9a4d3b35a9d/thsj_a_1957475_f0003_oc.jpg)
Table 5. Observed hydrographs and estimated outflow hydrographs using different Muskingum models for example 2 by incorporating the lateral inflow r = 1.202 (Non-smooth Single-peak inflow and outflow hydrographs)
Figure 4. Observed and estimated hydrographs for example 2 considering inflow effects (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function
![Figure 4. Observed and estimated hydrographs for example 2 considering inflow effects (non-smooth single-peak hydrograph) along with estimated optimal parameters for different Muskingum models using the SSQ index (the sum of the squared deviations between observed and computed outflows) as an objective function](/cms/asset/dd86f7be-14cd-4dd3-a812-b1278cc65fe5/thsj_a_1957475_f0004_oc.jpg)