A Penalized Distributed Lag Non-Linear Lee-Carter Framework for Regional Weekly Mortality Forecasting

Jens Robben () and Karim Barigou
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Jens Robben: University of Amsterdam
Karim Barigou: Université catholique de Louvain, LIDAM/ISBA, Belgium

No 2025016, LIDAM Discussion Papers ISBA from Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA)

Abstract: Accurate forecasts of weekly mortality are essential for public health and the insurance industry. We develop a forecasting framework that extends the Lee–Carter model with age- and region-specific seasonal effects and penalized distributed lag non-linear components that capture the delayed and non-linear effects of heat, cold, and influenza on mortality. The model accommodates overdispersed mortality rates via a negative binomial distribution. We model the temporal dynamics of the latent factors in the model using SARIMAX processes and capture cross-regional dependencies through a copula-based approach. Using regional French mortality data (1990–2019), we demonstrate that the proposed framework yields well-calibrated forecast distributions and improves predictive accuracy relative to benchmark models. The results further show substantial heterogeneity in temperature- and influenza-related relative risks between ages and regions. These findings underscore the importance of incorporating exogenous drivers and dependence structures into a weekly mortality forecasting framework.

Keywords: Stochastic mortality modeling; seasonal mortality; distributed lag non-linear models; excess mortality (search for similar items in EconPapers)
Pages: 32
Date: 2025-09-29
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