Generalizing Ripley's K function to inhomogeneous populations

Eric Marcon () and Florence Puech ()
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Eric Marcon: ECOFOG - Ecologie des forêts de Guyane - Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement - INRA - Institut National de la Recherche Agronomique - UAG - Université des Antilles et de la Guyane - AgroParisTech - CNRS - Centre National de la Recherche Scientifique
Florence Puech: LET - Laboratoire d'économie des transports - UL2 - Université Lumière - Lyon 2 - ENTPE - École Nationale des Travaux Publics de l'État - CNRS - Centre National de la Recherche Scientifique

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Abstract: 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.

Keywords: Spatial statistics; point processes; Ripley (search for similar items in EconPapers)
Date: 2009-04-01
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00372631v1
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Citations: View citations in EconPapers (2)

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