Generalizing Ripley's K function to inhomogeneous populations

Eric Marcon (1) , Florence Puech (2)

1 ECOFOG - Ecologie des forêts de Guyane
2 LET - Laboratoire d'économie des transports

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.

Mots clés: Spatial statistics; point processes; Ripley

Domaines: Economies et finances; Ecologie, Environnement

Eric Marcon, Florence Puech. Generalizing Ripley's K function to inhomogeneous populations. 2009. ⟨halshs-00372631⟩