Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks

Borrajo, M.I. and Comas, C. and Costafreda-Aumedes, S. and Mateu, J. (2021) Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks. Stochastic Environmental Research and Risk Assessment. ISSN 1436-3240

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Abstract

Wildlife-vehicle collisions on road networks represent a natural problem between human populations and the environment, that affects wildlife management and raise a risk to the life and safety of car drivers. We propose a statistically principled method for kernel smoothing of point pattern data on a linear network when the first-order intensity depends on covariates. In particular, we present a consistent kernel estimator for the first-order intensity function that uses a convenient relationship between the intensity and the density of events location over the network, which also exploits the theoretical relationship between the original point process on the network and its transformed process through the covariate. We derive the asymptotic bias and variance of the estimator, and adapt some data-driven bandwidth selectors to estimate the optimal bandwidth. The performance of the estimator is analysed through a simulation study under inhomogeneous scenarios. We present a real data analysis on wildlife-vehicle collisions in a region of North-East of Spain.

Item Type:
Journal Article
Journal or Publication Title:
Stochastic Environmental Research and Risk Assessment
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2200/2213
Subjects:
ID Code:
159729
Deposited By:
Deposited On:
17 Sep 2021 10:43
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Sep 2021 15:29