Effects of Mesh Size in the Spatial Interactivity Analysis on Mesh Data

Abstract

This paper attempts to analyze effects of mesh size observed in the analyses of spatial interactivities using urban mesh data. When we consider a variable defined in continuous urban space and a corresponding variable which si measured in each mesh, a formula suggests that the mesh-size effects can be measured as a filter on the spectrum of the variable is deduced. Through numerical studies on the actual urban mesh data, it is shown the effect theoretically estimated accords with actual value.