Today, the natural deterioration of aged water distribution infrastructures asks for planning and designing technical activities spanning from operative (short), to tactical (medium) and strategic (long) horizon times. However, these activities influence the hydraulics of the Water Distribution Networks (WDNs) in terms of field of velocity and flow in pipes. Therefore, the water quality issue is related to the leakage management of WDNs.It is recognized that leakage management affects several aspects of the WDNs such as the quality of service (Almandoz et al., 2005), increasing energy consumption and economic losses (Colombo & Karney, 2005), and exposing customers to potential health issues (WHO, 2017). Starting from the new millennium, the socio-economic awareness about the problem of water losses has motivated regulators and water companies to move from reactive to proactive maintenance approach (Thornton & Lambert, 2005). Among different classes of water leakages, the background and unreported leakages are those having the most important volumetric effect on the WDN management (Berardi & Giustolisi, 2021); thus, they are referred to as volumetric leakages in the following.Leakages depend on pressure and deterioration of pipes because they can be considered as outflows working according to the Torricelli law, which orifice area varies with the pressure depending on pipe material. Therefore, the main design activities for leakage management in operative and tactical planning horizons are pressure control (e.g., Walski et al., 2006) and District Metering Areas (DMAs) design (e.g., MacDonald & Yates, 2005), together with active leakage control (Thornton & Lambert, 2005). Pipe replacement plans range from the tactical to the strategic time horizons because works are much more expensive in terms of time and direct and indirect costs.Pressure control in WDN is mainly implemented using pressure control valves (e.g., Araujo et al., 2006) and should guarantee the correct pressure for supplying water to customers (e.g., Berardi et al., 2018). DMA design, which was originally conceived to monitor flows and pressure, also gives the opportunity to change the original WDN topology by closing sectioning valves at DMA boundaries, thus modifying the field of velocity and flow in