# A Seasonal Autoregressive Integrated Moving Average (SARIMA) forecasting model to predict the epidemic trends of scrub typhus in China

**Authors:** Pei-Ying Peng, Hui-Ying Duan, Lei Xu, Ji-Qin Sun, Li-Juan Ma, Ya Zu, Ting-Liang Yan

PMC · DOI: 10.1371/journal.pone.0325905 · 2025-06-23

## TL;DR

This study uses a SARIMA model to accurately predict scrub typhus outbreaks in China based on historical data from 2006 to 2019.

## Contribution

The novel application of SARIMA model for scrub typhus forecasting in China demonstrates its effectiveness in capturing seasonal trends.

## Key findings

- A SARIMA (1, 0, 2) (1, 1, 1) 12 model was identified as optimal for forecasting scrub typhus cases.
- The model successfully predicted 2019 cases within a 95% confidence range.
- Female morbidity was significantly higher than male morbidity (P < 0.001).

## Abstract

Scrub typhus is a deadly infectious disease that is frequently underdiagnosed. Forecasting the emergence of infectious diseases using epidemiological models has emerged as a crucial instrument for comprehending the dynamics of their occurrence. This research aimed to investigate epidemic traits and create a predictive model for scrub typhus in mainland China, employing the Seasonal Autoregressive Integrated Moving Average (SARIMA) time series method. Monthly records of scrub typhus cases were gathered from the China Center for Disease Control and Prevention, covering the timeframe from 2006 to 2019. From 2006 to 2018, a total of 142849 scrub typhus cases were reported in China, the females’ morbidity was higher than the males’ one (P < 0.001). The ideal model was SARIMA (1, 0, 2) (1, 1, 1) 12 with its residual being white noise (P > 0.05). This method forecasted scrub typhus cases between January and December 2019, with the predicted values for 2019 falling within the 95% confidence range. The research indicates that the SARIMA model accurately simulated the epidemiological patterns of scrub typhus across mainland China. Utilizing the SARIMA model is a practical approach for tracking scrub typhus cases in mainland China.

## Linked entities

- **Diseases:** scrub typhus (MONDO:0019365)

## Full-text entities

- **Diseases:** Scrub typhus (MESH:D012612), infectious disease (MESH:D003141)

## Figures

17 figures with captions in the complete paper: https://tomesphere.com/paper/PMC12184917/full.md

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Source: https://tomesphere.com/paper/PMC12184917