“…For models that allocate water across multiple time steps, links connect reservoir nodes in different time periods to represent carryover storage. These models have been applied in reservoir sizing (Kuczera, 1989;Khaliquzzaman and Chander, 1997), capacity expansion (Martin, 1987;Gondolfi et al, 1997), the derivation of reservoir operating rules (Lund and Ferreira, 1996;Bessler et al, 2003), water transfer during droughts (Cheng et al, 2009), and the optimal real-time flood control operation of reservoirs (Braga and Barbosa, 2001). Single time step models allocate water only within an operational unit period, but the allocation is sequentially solved in every step during the simulation time horizon.…”