A sliding window approach to optimize the time-varying parameters of a spatially-explicit and stochastic model of COVID-19

PLOS Glob Public Health. 2022 Sep 15;2(9):e0001058. doi: 10.1371/journal.pgph.0001058. eCollection 2022.

Abstract

The implementation of non-pharmaceutical public health interventions can have simultaneous impacts on pathogen transmission rates as well as host mobility rates. For instance, with SARS-CoV-2, masking can influence host-to-host transmission, while stay-at-home orders can influence mobility. Importantly, variations in transmission rates and mobility patterns can influence pathogen-induced hospitalization rates. This poses a significant challenge for the use of mathematical models of disease dynamics in forecasting the spread of a pathogen; to create accurate forecasts in spatial models of disease spread, we must simultaneously account for time-varying rates of transmission and host movement. In this study, we develop a statistical model-fitting algorithm to estimate dynamic rates of SARS-CoV-2 transmission and host movement from geo-referenced hospitalization data. Using simulated data sets, we then test whether our method can accurately estimate these time-varying rates simultaneously, and how this accuracy is influenced by the spatial population structure. Our model-fitting method relies on a highly parallelized process of grid search and a sliding window technique that allows us to estimate time-varying transmission rates with high accuracy and precision, as well as movement rates with somewhat lower precision. Estimated parameters also had lower precision in more rural data sets, due to lower hospitalization rates (i.e., these areas are less data-rich). This model-fitting routine could easily be generalized to any stochastic, spatially-explicit modeling framework, offering a flexible and efficient method to estimate time-varying parameters from geo-referenced data sets.

Grants and funding

This material is based upon work supported in part by the National Science Foundation under Grant No. 2028629 (JRM, ED, CH), by the Flinn Foundation under Grant No. 2305 (JRM), and by the Southwest Health Equity Research Collaborative at Northern Arizona University, under Grant No. U54MD012388, which is sponsored by the National Institute on Minority Health and Health Disparities (JRM). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.