Measure Error Propagation for Buffer Spatial Analysis in GIS using Gaussian Quadrature Numerical Method

摘要

As a further development of error modelling of spatial features, an error model for measuring positional error propagation of buffer spatial analysis in a vector-based GIS is proposed in this study. In this model, the propagated error of a buffer spatial analysis is measured by a discrepant area, which is bounded by the expected location and the measured location of a buffer. Mathematically, this is expressed by a multiple integral. The error source is that for positional error of the relevant spatial features. Numerical integration - Gaussian Quadrature is implemented to estimate the multiple integral.