Degree distributions of Origin-Destination matrices generated from school and barangay population data

Abstract

We present a method of creating an Origin-Destination matrix for Metro Manila from school population and census data. The method uses three schemes using distance based probabilities (uniform, uniform with cutoff at a critical distance R_c, and a power law decay beyond R_c) for determining the number of students from a barangay that attend a school. A bipartite network with schools and barangays as node sets was generated from the Origin-Destination matrix. The degree distributions of the two sets of nodes were compared for the three schemes.