Regularised Semi-parametric Composite Likelihood Intensity Modelling of a Swedish Spatial Ambulance Call Point Pattern
Fekadu L. Bayisa,
Markus Ådahl,
Patrik Rydén and
Ottmar Cronie ()
Additional contact information
Fekadu L. Bayisa: Umeå University
Markus Ådahl: Umeå University
Patrik Rydén: Umeå University
Ottmar Cronie: Chalmers University of Technology and University of Gothenburg
Journal of Agricultural, Biological and Environmental Statistics, 2023, vol. 28, issue 4, No 6, 664-683
Abstract:
Abstract Motivated by the development of optimal dispatching strategies for prehospital resources, we model the spatial distribution of ambulance call events in the Swedish municipality Skellefteå during 2014–2018 in order to identify important spatial covariates and discern hotspot regions. Our large-scale multivariate data point pattern of call events consists of spatial locations and marks containing the associated priority levels and sex labels. The covariates used are related to road network coverage, population density, and socio-economic status. For each marginal point pattern, we model the associated intensity function by means of a log-linear function of the covariates and their interaction terms, in combination with lasso-like elastic-net regularized composite/Poisson process likelihood estimation. This enables variable selection and collinearity adjustment as well as reduction of variance inflation from overfitting and bias from underfitting. To incorporate mobility adjustment, reflecting people’s movement patterns, we also include a nonparametric (kernel) intensity estimate as an additional covariate. The kernel intensity estimation performed here exploits a new heuristic bandwidth selection algorithm. We discover that hotspot regions occur along dense parts of the road network. A mean absolute error evaluation of the fitted model indicates that it is suitable for designing prehospital resource dispatching strategies. Supplementary materials accompanying this paper appear online.
Keywords: Bandwidth selection; Cyclic coordinate descent algorithm; Emergency alarm; Inhomogeneous Poisson process; Lasso-like elastic-net; Multivariate point process (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:jagbes:v:28:y:2023:i:4:d:10.1007_s13253-023-00534-5
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DOI: 10.1007/s13253-023-00534-5
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