Exploring first and second-order spatio-temporal structures of lightning strike impacts in the French Alps using subsampling

Juliette Blanchet (1) , Jean-François Coeurjolly (2) , Alexis Pellerin (2)

1 IGE - Institut des Géosciences de l’Environnement
2 SVH - Statistique pour le Vivant et l’Homme

We model cloud-to-ground lightning strike impacts in the French Alps over the period 2011-2021 (approximately 1.4 million of events) using spatio-temporal point processes. We investigate first and higher-order structure for this point pattern and address the questions of homogeneity of the intensity function, first-order separability and dependence between events. The tuning of nonparametric methods and the different tests we consider in this study make the computational cost very expensive. We therefore suggest different subsampling strategies to achieve these tasks.

Mots clés: Space-time point processes; Kernel estimation; Ripley's K function; Global envelope test; Subsampling

Domaines: Statistiques [math.ST]

Juliette Blanchet, Jean-François Coeurjolly, Alexis Pellerin. Exploring first and second-order spatio-temporal structures of lightning strike impacts in the French Alps using subsampling. 2024. ⟨hal-04370367v2⟩