Mapping the Intensity Function of a Non-stationary Point Process in Unobserved Areas

  title={Mapping the Intensity Function of a Non-stationary Point Process in Unobserved Areas},
  author={Edith Gabriel and Francisco J. Rodr{\'i}guez‐Cort{\'e}s and J{\'e}r{\^o}me Coville and Jorge Mateu and Jo{\"e}l Chadoeuf},
Seismic networks provide data that are used as basis both for public safety decisions and for scientific research. Their configuration affects the data completeness, which in turn, critically affects several seismological scientific targets (e.g., earthquake prediction, seismic hazard...). In this context, a key aspect is how to map earthquakes density in seismogenic areas from censored data or even in areas that are not covered by the network. We propose to predict the spatial distribution… 

Figures and Tables from this paper

Note on the approximation of the conditional intensity of non-stationary cluster point processes
In this note we consider non-stationary cluster point processes and we derive their conditional intensity, i.e. the intensity of the process given the locations of one or more events of the process.


Spatial analysis for an evaluation of monitoring networks: examples from the Italian seismic and accelerometric networks
In this work, we propose a statistical approach to evaluate the coverage of a network based on the spatial distribution of its nodes and the target information, including all those data related to
Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes
Several classes of stochastic models for the origin times and magnitudes of earthquakes are discussed and the utility of seismic quiescence for the prediction of a major earthquake is investigated.
Hellenic Unified Seismological Network: an evaluation of its performance through SNES method
SUMMARY In this paper, we analyse the location performance of the Hellenic (Greek) Unified Seismological Network (HUSN) by Seismic Network Evaluation through Simulation method (SNES). This
Spatial pattern analysis using hybrid models: an application to the Hellenic seismicity
A multi-scale point pattern model is used to describe the main seismicity in the Hellenic area over the last 10 years and finds two competing suitable hybrid models, one with a full parametric structure and the other one based on nonparametric kernel estimators for the spatial inhomogeneity.
A detailed seismic zonation model for shallow earthquakes in the broader Aegean area
Abstract. In the present work we propose a new seismic zonation model of area type sources for the broader Aegean area, which can be readily used for seismic hazard assessment. The definition of this
Understanding Spatial Point Patterns Through Intensity and Conditional Intensities
The aim is to propose a different point of view as it intends to present how to understand and analyze a point pattern through intensity and conditional intensity functions.
Point process models for presence‐only analysis
Presence‐only data are widely used for species distribution modelling, and point process regression models are a flexible tool that has considerable potential for this problem, when data arise as
Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns
We develop methods for analysing the ‘interaction’ or dependence between points in a spatial point pattern, when the pattern is spatially inhomogeneous. Completely non‐parametric study of