The multipoint Morisita index for the analysis of spatial patterns

Détails

ID Serval
serval:BIB_141AA82FB662
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
The multipoint Morisita index for the analysis of spatial patterns
Périodique
arXiv 1307.3756
Auteur⸱e⸱s
Golay J., Kanevski M., Vega Orozco C., Leuenberger M.
Statut éditorial
Publié
Date de publication
2013
Pages
1-18
Langue
anglais
Notes
Golay2013
Résumé
In many fields, the spatial clustering of sampled data points has
many consequences. Therefore, several indices have been proposed
to assess the level of clustering affecting datasets (e.g. the Morisita
index, Ripley's Kfunction and Rényi's generalized entropy). The classical
Morisita index measures how many times it is more likely to select
two measurement points from the same quadrats (the data set is covered
by a regular grid of changing size) than it would be in the case
of a random distribution generated from a Poisson process. The multipoint
version (k-Morisita) takes into account k points with k >= 2. The
present research deals with a new development of the k-Morisita index
for (1) monitoring network characterization and for (2) detection
of patterns in monitored phenomena. From a theoretical perspective,
a connection between the k-Morisita index and multifractality has
also been found and highlighted on a mathematical multifractal set.
Mots-clé
Morisita index, Multifractality, Functional measures, Spatial point, Process, Monitoring network
Création de la notice
25/11/2013 18:23
Dernière modification de la notice
20/08/2019 13:42
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