L'analyse harmonique qualitative et son application à la typologie des trajectoires individuelles

摘要

The article aims at a theoretical and practical presentation ?nonominal harmonic analysis? as a tool for descriptive statistic of categorical stochastic processes and its application to human mobility studies. The first part is a mathematical overview of the extension of scalar spectral analysis to a categorical process and how it can be approximate by a particular kind of correspondences analysis based on times that individuals accumulate in the process states. The second and third parts deal with application to a data set taken from a survey on residential mobility in Bogota metropolitan area. We found the method able to provide an interesting typology of urban residential trajectories and to show some relationships between residential mobility and other biographical variables like family events and professional changes.