Consider a hypothetical catchment whose daily streamflow is composed of a seasonally dependent (slow) base flow...

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Consider a hypothetical catchment whose daily streamflow is composed of a seasonally dependent (slow) base flow component, Q., upon which a fast (event) surface flow component, Q, from individual rainfall events is superimposed, to generate total streamflow, i.e., Q=Q,+Q, Assume that the seasonal variation of (slow) flow is a cosine function given by: Q=2+ cos(2+) Let us also assume that the fast flow component consists of n distinct and identical recessions resulting from n shot-noise (instantaneous) rainfall events, with the event hydrograph for each event being expressed as: 2,2min +(20-2min) exp(-kt) Derive the FDCs for slow flow and fast flow separately. Explain how they can be combined to derive the FDC of total flow Q. If you have time, please assign suitable numerical values for the various parameters and estimate the resulting FDC numerically. Consider a hypothetical catchment whose daily streamflow is composed of a seasonally dependent (slow) base flow component, Q., upon which a fast (event) surface flow component, Q, from individual rainfall events is superimposed, to generate total streamflow, i.e., Q=Q,+Q, Assume that the seasonal variation of (slow) flow is a cosine function given by: Q=2+ cos(2+) Let us also assume that the fast flow component consists of n distinct and identical recessions resulting from n shot-noise (instantaneous) rainfall events, with the event hydrograph for each event being expressed as: 2,2min +(20-2min) exp(-kt) Derive the FDCs for slow flow and fast flow separately. Explain how they can be combined to derive the FDC of total flow Q. If you have time, please assign suitable numerical values for the various parameters and estimate the resulting FDC numerically.