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Article

Spatial Modeling of Auto Insurance Loss Metrics to Uncover Impact of COVID-19 Pandemic

1
Global Management Studies, Ted Rogers School of Management, Toronto Metropolitan University, Toronto, ON M5B 2K3, Canada
2
Mathematics and Statistics, University of Guelph, Guelph, ON N1G 2W1, Canada
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(9), 1416; https://doi.org/10.3390/math13091416
Submission received: 7 March 2025 / Revised: 13 April 2025 / Accepted: 18 April 2025 / Published: 25 April 2025
(This article belongs to the Special Issue Bayesian Statistics and Causal Inference)

Abstract

This study addresses key challenges in auto insurance territory risk analysis by examining the complexities of spatial loss data and the evolving landscape of territorial risks before and during the COVID-19 pandemic. Traditional approaches, such as spatial clustering, are commonly used for territory risk assessment but offer limited predictive capabilities, constraining their effectiveness in forecasting future losses, an essential component of insurance pricing. To overcome this limitation, we propose an advanced predictive modeling framework that integrates spatial loss patterns while accounting for the pandemic’s impact. Our Bayesian-based spatial model captures stochastic spatial autocorrelations among territory rating units and their neighboring regions. This approach enables more robust pattern recognition through predictive modeling. By applying this approach to regulatory auto insurance loss datasets, we analyze industry-level trends in claim frequency, loss severity, loss cost, and insurance loading. The results reveal significant shifts in spatial loss patterns before and during the pandemic, highlighting the dynamic interplay between regional risk factors and external disruptions. These insights provide valuable guidance for insurers and regulators, facilitating more informed decision-making in risk classification, pricing adjustments, and policy interventions in response to evolving spatial and economic conditions.
Keywords: spatial model; COVID-19 pandemic effect; bayesian statistics; predictive analytics; territory risk analysis; actuarial modeling spatial model; COVID-19 pandemic effect; bayesian statistics; predictive analytics; territory risk analysis; actuarial modeling

Share and Cite

MDPI and ACS Style

Xie, S.; Zhang, J. Spatial Modeling of Auto Insurance Loss Metrics to Uncover Impact of COVID-19 Pandemic. Mathematics 2025, 13, 1416. https://doi.org/10.3390/math13091416

AMA Style

Xie S, Zhang J. Spatial Modeling of Auto Insurance Loss Metrics to Uncover Impact of COVID-19 Pandemic. Mathematics. 2025; 13(9):1416. https://doi.org/10.3390/math13091416

Chicago/Turabian Style

Xie, Shengkun, and Jin Zhang. 2025. "Spatial Modeling of Auto Insurance Loss Metrics to Uncover Impact of COVID-19 Pandemic" Mathematics 13, no. 9: 1416. https://doi.org/10.3390/math13091416

APA Style

Xie, S., & Zhang, J. (2025). Spatial Modeling of Auto Insurance Loss Metrics to Uncover Impact of COVID-19 Pandemic. Mathematics, 13(9), 1416. https://doi.org/10.3390/math13091416

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