Spatial correlation in bipartite networks

Nathalie Villa-Vialaneix (1) , Bertrand Jouve (2) , Fabrice Rossi (1) , Florent Hautefeuille (3)

1 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
2 ERIC - Equipe de Recherche en Ingénierie des Connaissances
3 TRACES - Travaux et recherches archéologiques sur les cultures, les espaces et les sociétés

In this article, the influence between a spatial information and interactions between individuals is addressed. This issue is illustrated through the analysis of a corpus of notarial acts established during the Middle Ages. In this corpus, the persons interact in common transactions that are geolocalized. The present work tries to quantify the impact of this spatial information on the relations between people. As the spatial information as well as the relations between individuals are derived from the same source (the transactions in which the individuals have been involved), a standard Mantel test (Mantel, 1967) is not suited to address this issue. A similar methodology, based on the adaptation of the original permutation test, is thus proposed and illustrated in that context.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Nathalie Villa-Vialaneix, Bertrand Jouve, Fabrice Rossi, Florent Hautefeuille. Spatial correlation in bipartite networks. Revue des Nouvelles Technologies de l'Information, 2013, pp.97-110. ⟨hal-00761081⟩