*2.1. Overview of Correlation Analysis*

In this study, representative reliability indices and hydraulic measures were classified and estimated for application networks following the procedure shown in Figure 1. First, nine reliability indices are selected and estimated through a base scenario representing normal operating conditions. Meanwhile, hydraulic measures show the change in performance of the system under abnormal conditions (as compared with normal conditions), and thus six hydraulic measures according to performance properties were selected and simulations were performed according to three scenarios representing "abnormal" conditions. The overall framework can be summarized as follows: (1) categorization of hydraulic measures and reliability indices, (2) establishing synthetic application networks, (3) calculation of the measures and indices in normal/abnormal water supply conditions for each application network, (4) correlation analysis between the measures and indices, and (5) multi-criteria decision analysis (MCDA) for evaluation of reliability indices.

**Figure 1.** Correlation analysis between reliability indices and hydraulic measures. RI: resilience index, MRI: modified resilience index, API: available power index, AD: average degree, NE: network efficiency, FE: flow entropy, PHRI: pipe hydraulic resilience index, RRI: revised resilience index, NRI: network resilience index.
