Closure to 'Reservoir Flood Season Segmentation and Optimal Operation of Flood-Limiting Water Levels' by Haiyan Jiang, Zhongbo Yu, and Chongxun Mo

摘要

The writers thank the discussers for their comment and suggestion on the original paper. The discussers raised two remarks (suggestions) concerning: (1) the more suitable methods in generating hydrograDs; and (2) the consideration of using additional hydrological parameters to calculate the highest water level at a dam. The writers' opinion on these two points can be summarized as follows: 1. The writers are not quite clear about what the discussers mean by saying "the generation of hydrograDs is more accurately done by using historical data than by generating random numbers." We think this may be ascribed to the possible ambiguous description of the approach in the original paper, so we redescribe the approach in a more clear way as follows: By multiplying the typical flood hydrograDs Q_(typ)(t) by scaling coefficient k_i at every time interval, the simulated hydrograDs Q_i(t) can be obtained by Eq. (4) of the original paper as Q_i(t) = k_iQ_(typ)(t) (1) where k_(i) = Q_i/Q_(typ), Q_i = simulated peak discharge with P-Ⅲ distribution; and Q_(typ) = peak discharge of typical flood hydrograD. Q_(i) can be obtained by Eq. (3) of the original paper as Q_(i) = Q[1 - (2C_υ/C_s)] +QC_υC_s/2(-[4/C_s~2]) ∑ k In u_k - u_1~(1/r) / u_1~(1/r)+u_2~(1/s)In u_i) (2) As can be seen from Eq. (2), we do use historical data (the mean value, the variation coefficient, and the skewness coefficient of the historical peak discharge) to generate stochastic peak discharges that were then transformed into continuous hydrograDs by Eq. (1). The reason why we didn't generate continuous hydrographs directly in the original paper is that the approach we adopted, on the one hand, highlights the importance of the peak discharge Q_i, as the peak discharge might be more important than the flood volumes for reservoirs with small rainwater harvesting areas (as is the case in the original paper); on the other hand, the selected typical flood hydrographs Q_(typ)(t) are usually characterized by steep climbing curve with high peak value and gentle declining curve, which is unfavorable for reservoir flood control and which in turn will result in more safety capacity for reservoir operation.