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The Muskingum model of routing a flood through a stream reach is expressed as O2 = K0 I2 + K1 I1 + K2 O1, where K0, K1 and K2 are the routing coefficients for the concerned reach, I1 and I2 are the inflows to the reach, and O1 and O2 are the outflows from the reach corresponding to time steps 1 and 2 respectively. The sum of K0, K1 and K2 of the model is

1. −1
2. −0.5
3. 0.5
4. 1

Correct answer: 1

Solution

The sum of the routing coefficients K0, K1, and K2 equals 1 because they represent proportions of inflow that are distributed to the outflow at different time steps, ensuring that the total flow is conserved within the system.

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