Comparison of WDN segmentations based on modularity indexes

Water distribution networks (WDNs) are divided into smaller districts for different technical purposes (e.g., pressure control, leakage management) relying heavily on the technician's experience. A recently developed approach based on modularity metric allow to quantify the degree of uniformity of a particular segmentation including information on network properties (e.g., pipe diameters, flow rates, pressures, leakages) as weights in the matrix representation of the WDN. This study compares different segmentation solutions obtained by maximizing modularity entailing different weights by using the mutual information index coming from the information theory. This study aims at providing insights on modularity formulations to find optimal WDN segmentation for different management purposes.