Éditeur(s) : HAL CCSD Résumé : JEL : C40 ; C60 ; R12 ; L60 This study introduces two new measures of spatial concentration. The proposed M functions constitute an extension to Ripley's functions (Ripley, 1976, 1977). They allow the evaluation of the relative geographic concentration and co-location of industries in a non-homogeneous spatial framework. Some rigorous comparisons with similar recently developed tools prove the relevance of the M functions in the field of spatial economics. https://halshs.archives-ouvertes.fr/halshs-00372617
Éditeur(s) : HAL CCSD Résumé : In spatial statistics, Ripley's K function (Ripley, 1977) is a classical tool to analyse spatial point patterns. Yet, it faces two major limits: it is only pertinent for homogeneous point processes and it does not allow the weighting of points. We generalize it to get a new function, M, which oversteps these limits and detects spatial structures of inhomogeneous populations of weighted points. https://halshs.archives-ouvertes.fr/halshs-00372631