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Trivariate Kernel Density Estimation of Spatiotemporal Crime Events with Case Study for Lithuania

Author

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  • Michael Govorov

    (Department of Geography, Vancouver Island University, Nanaimo, BC V9R 5S5, Canada)

  • Giedrė Beconytė

    (Institute of Geosciences, Vilnius University, LT-10223 Vilnius, Lithuania)

  • Gennady Gienko

    (Department of Geomatics, University of Alaska Anchorage, Anchorage, AK 99508, USA)

Abstract

The paper presents the results of the investigation of the applicability of spatiotemporal kernel density estimation (KDE) methods for density mapping of violent crime in Lithuania. Spatiotemporal crime research helps to understand and control specific types of crime, thereby contributing to Sustainable Development Goals. The target dataset contained 135,989 records of the events registered by the police of Lithuania from 2015–2018 that were classified as violent. The research focused on choosing appropriate KDE functions and their parameters for modeling the spatiotemporal point pattern of this particular type of crime. The aim was to estimate density, mass, and intensity function(s) so that they can be used in further confirmatory spatial modeling. The application-driven objective was to obtain reliable and practically interpretable KDE surfaces of crime events. Several options for improving and extending the investigated KDE methods are demonstrated.

Suggested Citation

  • Michael Govorov & Giedrė Beconytė & Gennady Gienko, 2023. "Trivariate Kernel Density Estimation of Spatiotemporal Crime Events with Case Study for Lithuania," Sustainability, MDPI, vol. 15(11), pages 1-17, May.
  • Handle: RePEc:gam:jsusta:v:15:y:2023:i:11:p:8524-:d:1154778
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    References listed on IDEAS

    as
    1. Davies, Tilman M. & Jones, Khair & Hazelton, Martin L., 2016. "Symmetric adaptive smoothing regimens for estimation of the spatial relative risk function," Computational Statistics & Data Analysis, Elsevier, vol. 101(C), pages 12-28.
    2. Mammen, Enno & Martínez Miranda, María Dolores & Nielsen, Jens Perch & Sperlich, Stefan, 2011. "Do-Validation for Kernel Density Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 106(494), pages 651-660.
    3. Nawal Belaid & Smail Adjabi & Célestin C. Kokonendji & Nabil Zougab, 2018. "Bayesian adaptive bandwidth selector for multivariate discrete kernel estimator," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(12), pages 2988-3001, June.
    4. O Cronie & M N M Van Lieshout, 2018. "A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions," Biometrika, Biometrika Trust, vol. 105(2), pages 455-462.
    5. Nils-Bastian Heidenreich & Anja Schindler & Stefan Sperlich, 2013. "Bandwidth selection for kernel density estimation: a review of fully automatic selectors," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 97(4), pages 403-433, October.
    6. Darius Vasiliauskas & Giedrė Beconytė, 2016. "Cartography of crime: Portrait of metropolitan Vilnius," Journal of Maps, Taylor & Francis Journals, vol. 12(5), pages 1236-1241, October.
    7. BOUEZMARNI, Taoufik & ROMBOUTS, Jeroen VK, 2010. "Nonparametric density estimation for multivariate bounded data," LIDAM Reprints CORE 2301, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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