M. P. Bohorquez Castañeda, A. M. Forero Sanabria, J. Mateu Mahiques, R. R. Renteria Ramos

This paper provides new tools for analyzing spatio-temporal event networks. We build time series of directed event networks for a set of spatial distances, and the spatial distance that generates the strongest change of event network connections is selected. we also propose an empirical random network event generator (ERGEN) to detect significant motifs throughout time. This generator preserves the spatial configuration but randomizes the order of the occurrence of events. To prevent the large number of links from masking the count of motifs, we use standardized counts of motifs at each time slot. Our method is able to detect interaction radius in space, builds time series of networks, and describes changes in its topology over time, by means of identification of different types of motifs that allows for the understanding of the spatio-temporal dynamics of the phenomena. We illustrate our methodology by analyzing thefts occurred in Medellin (Colombia) for the years 2003 to 2015.

Keywords: Complex System, Motif, Network, Spatio-temporal events, Time series of event networks

Scheduled

GT19 Time Space Statistics
June 7, 2022  12:00 PM
Conference hall


Other papers in the same session

Spatial Cox Processes in an Infinite-Dimensional Framework

M. P. Frías Bustamante, A. Torres Signes, M. D. Ruiz Medina, J. Mateu Mahiques

Statistical inference on intensity functions with applications

M. I. Borrajo García, W. González Manteiga, M. D. Martínez Miranda


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    Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.

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