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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks. / Borrajo, M.I.; Comas, C.; Costafreda-Aumedes, S. et al.
In: Stochastic Environmental Research and Risk Assessment, Vol. 36, No. 6, 30.06.2022, p. 1563-1577.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Borrajo, MI, Comas, C, Costafreda-Aumedes, S & Mateu, J 2022, 'Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks', Stochastic Environmental Research and Risk Assessment, vol. 36, no. 6, pp. 1563-1577. https://doi.org/10.1007/s00477-021-02072-3

APA

Borrajo, M. I., Comas, C., Costafreda-Aumedes, S., & Mateu, J. (2022). Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks. Stochastic Environmental Research and Risk Assessment, 36(6), 1563-1577. https://doi.org/10.1007/s00477-021-02072-3

Vancouver

Borrajo MI, Comas C, Costafreda-Aumedes S, Mateu J. Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks. Stochastic Environmental Research and Risk Assessment. 2022 Jun 30;36(6):1563-1577. Epub 2021 Sept 4. doi: 10.1007/s00477-021-02072-3

Author

Borrajo, M.I. ; Comas, C. ; Costafreda-Aumedes, S. et al. / Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks. In: Stochastic Environmental Research and Risk Assessment. 2022 ; Vol. 36, No. 6. pp. 1563-1577.

Bibtex

@article{b30caa27659a411fa0d089ab87889982,
title = "Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks",
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. ",
keywords = "Bandwidth selection, Covariates, First-order intensity, Kernel estimation, Linear network, Spatial point pattern, Wildlife-vehicle accidents, Animals, Bandwidth, Road vehicles, Roads and streets, Stochastic systems, Intensity functions, Kernel estimators, Kernel smoothing, Optimal bandwidths, Real data analysis, Simulation studies, Vehicle collisions, Wildlife management, Linear networks",
author = "M.I. Borrajo and C. Comas and S. Costafreda-Aumedes and J. Mateu",
year = "2022",
month = jun,
day = "30",
doi = "10.1007/s00477-021-02072-3",
language = "English",
volume = "36",
pages = "1563--1577",
journal = "Stochastic Environmental Research and Risk Assessment",
issn = "1436-3240",
publisher = "Springer New York",
number = "6",

}

RIS

TY - JOUR

T1 - Stochastic smoothing of point processes for wildlife-vehicle collisions on road networks

AU - Borrajo, M.I.

AU - Comas, C.

AU - Costafreda-Aumedes, S.

AU - Mateu, J.

PY - 2022/6/30

Y1 - 2022/6/30

N2 - 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.

AB - 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.

KW - Bandwidth selection

KW - Covariates

KW - First-order intensity

KW - Kernel estimation

KW - Linear network

KW - Spatial point pattern

KW - Wildlife-vehicle accidents

KW - Animals

KW - Bandwidth

KW - Road vehicles

KW - Roads and streets

KW - Stochastic systems

KW - Intensity functions

KW - Kernel estimators

KW - Kernel smoothing

KW - Optimal bandwidths

KW - Real data analysis

KW - Simulation studies

KW - Vehicle collisions

KW - Wildlife management

KW - Linear networks

U2 - 10.1007/s00477-021-02072-3

DO - 10.1007/s00477-021-02072-3

M3 - Journal article

VL - 36

SP - 1563

EP - 1577

JO - Stochastic Environmental Research and Risk Assessment

JF - Stochastic Environmental Research and Risk Assessment

SN - 1436-3240

IS - 6

ER -