Urban spatial structures from human flow by Hodge-Kodaira decomposition.

ABSTRACT: Human flow in cities indicates social activity and can reveal urban spatial structures based on human behaviours for relevant applications. Scalar potential is a mathematical concept that, when properly applied, can provide an intuitive view of human flow. However, the definition of such a potential in terms of the origin-destination flow matrix and its feasibility remain unresolved. In this case, we use Hodge-Kodaira decomposition, which uniquely decomposes a matrix into a potential-driven (gradient) flow and a curl flow. We depict the potential landscapes in cities resulting from commuting flow and reveal how the landscapes have either changed or remained unchanged by years or methods of transportation. We then determine how well the commuting flow is described by the potential, by evalu

SUBMITTER: Aoki T 

PROVIDER: S-EPMC9252991 | biostudies-literature | 2022 Jul

REPOSITORIES: biostudies-literature