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Forecasting Seasonal Peaks of Pediatric Respiratory Infections Using an Alert-Based Model Combining SIR Dynamics and Historical Trends in Santiago, Chile

Gloria Henríquez, Jhoan Báez, Víctor Riquelme, Pedro Gajardo, Michel Royer, Héctor Ramírez

TL;DR

The study tackles forecasting seasonal peaks of pediatric ARI hospitalizations in Santiago by coupling a seasonal SIR model with a history-based predictor within an alert-driven framework. The method blends mechanistic and data-driven signals through a time-varying weight $\omega(t)$ and leverages data smoothing, a three-point epidemic alert ($t_0$, $t_{\min}$, $t_1$), and a penalized parameter calibration to forecast the peak date $\hat{t}$ and peak magnitude $\hat{h}$ with interpretable uncertainty. Retrospective and real-world validation across 2023–2024 at four major hospitals show peak-date forecasts preceding the event by about one month with high accuracy two weeks ahead, while peak-magnitude forecasts become informative roughly ten days before the peak and stabilize about a week prior. The framework demonstrates robust, operationally useful predictions under noisy hospital data and variable epidemic dynamics, offering a practical tool for hospital capacity planning and potentially generalizable deployment in similar settings. Future work aims to incorporate exogenous covariates (climate, co-circulating viruses, public health interventions) to enhance robustness and transferability.

Abstract

Acute respiratory infections (ARI) are a major cause of pediatric hospitalization in Chile, producing marked winter increases in demand that challenge hospital planning. This study presents an alert-based forecasting model to predict the timing and magnitude of ARI hospitalization peaks in Santiago. The approach integrates a seasonal SIR model with a historical mobile predictor, activated by a derivative-based alert system that detects early epidemic growth. Daily hospitalization data from DEIS were smoothed using a 15-day moving average and Savitzky-Golay filtering, and parameters were estimated using a penalized loss function to reduce sensitivity to noise. Retrospective evaluation and real-world implementation in major Santiago pediatric hospitals during 2023 and 2024 show that peak date can be anticipated about one month before the event and predicted with high accuracy two weeks in advance. Peak magnitude becomes informative roughly ten days before the peak and stabilizes one week prior. The model provides a practical and interpretable tool for hospital preparedness.

Forecasting Seasonal Peaks of Pediatric Respiratory Infections Using an Alert-Based Model Combining SIR Dynamics and Historical Trends in Santiago, Chile

TL;DR

The study tackles forecasting seasonal peaks of pediatric ARI hospitalizations in Santiago by coupling a seasonal SIR model with a history-based predictor within an alert-driven framework. The method blends mechanistic and data-driven signals through a time-varying weight and leverages data smoothing, a three-point epidemic alert (, , ), and a penalized parameter calibration to forecast the peak date and peak magnitude with interpretable uncertainty. Retrospective and real-world validation across 2023–2024 at four major hospitals show peak-date forecasts preceding the event by about one month with high accuracy two weeks ahead, while peak-magnitude forecasts become informative roughly ten days before the peak and stabilize about a week prior. The framework demonstrates robust, operationally useful predictions under noisy hospital data and variable epidemic dynamics, offering a practical tool for hospital capacity planning and potentially generalizable deployment in similar settings. Future work aims to incorporate exogenous covariates (climate, co-circulating viruses, public health interventions) to enhance robustness and transferability.

Abstract

Acute respiratory infections (ARI) are a major cause of pediatric hospitalization in Chile, producing marked winter increases in demand that challenge hospital planning. This study presents an alert-based forecasting model to predict the timing and magnitude of ARI hospitalization peaks in Santiago. The approach integrates a seasonal SIR model with a historical mobile predictor, activated by a derivative-based alert system that detects early epidemic growth. Daily hospitalization data from DEIS were smoothed using a 15-day moving average and Savitzky-Golay filtering, and parameters were estimated using a penalized loss function to reduce sensitivity to noise. Retrospective evaluation and real-world implementation in major Santiago pediatric hospitals during 2023 and 2024 show that peak date can be anticipated about one month before the event and predicted with high accuracy two weeks in advance. Peak magnitude becomes informative roughly ten days before the peak and stabilizes one week prior. The model provides a practical and interpretable tool for hospital preparedness.
Paper Structure (20 sections, 12 equations, 6 figures, 5 tables, 1 algorithm)

This paper contains 20 sections, 12 equations, 6 figures, 5 tables, 1 algorithm.

Figures (6)

  • Figure 1: Geographic location of the four study hospitals in Santiago, Chile. The map highlights HFB (purple), HLCM (blue), HEGC (orange), and HDRD (green). Map created with Google My Maps.
  • Figure 2: SIR-based hospitalization curve $H_{\text{SIR}}(t)$ showing the predicted peak magnitude $\mathbf{h}_{\text{SIR}}$ and its corresponding peak day $\mathbf{t}_{\text{SIR}}$.
  • Figure 3: Evolution of the epidemiological curve during May–June 2023 at four selected dates (i: May 10, ii: May 25, iii: June 6, iv: June 26). Each panel shows the original data (light blue), the smoothed curve (blue), and the SIR model (green). Vertical markers indicate the predicted peak date with its range, while horizontal markers denote the predicted peak magnitude with its range. The x-axis represents time (date) and the y-axis the incidence magnitude.
  • Figure 4: Predictive performance of the ensemble model for HLCM during the 2023 season. (A) Evolution of peak date forecasts over time. The x-axis shows the monitoring date, while the y-axis indicates the predicted peak date. Gray denotes the SIR-based prediction, blue the mobile prediction, yellow the alert signal, and purple the observed peak. The vertical and horizontal markers illustrate the stabilization of the alert system. (B) Evolution of peak magnitude forecasts. The x-axis represents the monitoring date, and the y-axis the predicted peak magnitude. The ensemble prediction is shown in gray, and the observed peak magnitude in red
  • Figure 5: Predictive performance of the ensemble model for HLCM during the 2024 season. (A) Evolution of peak date forecasts over time. The x-axis shows the monitoring date, while the y-axis indicates the predicted peak date. Gray denotes the SIR-based prediction, blue the mobile prediction, yellow the alert signal, and purple the observed peak. The vertical and horizontal markers illustrate the stabilization of the alert system. (B) Evolution of peak magnitude forecasts. The x-axis represents the monitoring date, and the y-axis the predicted peak magnitude. The ensemble prediction is shown in gray, and the observed peak magnitude in red
  • ...and 1 more figures

Theorems & Definitions (3)

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