arXiv:2606.00834stat.APcs.AI2026-06中稿 · publication in Art…

用混合模型精准预测加纳五岁以下疟疾住院数,提升预警可靠性。

Hybrid Probabilistic Forecasting of Under-Five Malaria Admissions in Ghana: A Gaussian Process Regression with Holt-Winters Smoothing

论文配图:Hybrid Probabilistic Forecasting of Under-Five Malaria Admissions in Ghana: A Gaussian Process Regression with Holt-Winters Smoothing
图 1 · 摘自论文原文
  • 结合高斯过程与霍尔特-温特斯法,兼顾非线性与季节性特征。
  • 模型预测准确率达R²=0.9906,94.2%残差在±2σ范围内。
  • 适合资源有限地区开展疟疾早期预警与公共卫生规划。

准确的疟疾预测在撒哈拉以南非洲仍面临挑战,因强季节性、报告不确定性及非平稳传播动态降低了传统模型的可靠性。在加纳,县级疟疾监测需要具备概率严谨性且在数据有限条件下仍稳健的预测框架。本研究提出一种融合高斯过程回归(GPR)与霍尔特-温特斯指数平滑的混合方法,用于建模月度五岁以下疟疾住院人数。GPR捕捉非线性趋势与预测不确定性,霍尔特-温特斯法稳定长期预测并保留季节结构。基于2014至2023年十年的县级数据,通过滚动起源扩展窗口验证评估性能。混合模型达到R²=0.9906,优于仅使用霍尔特-温特斯的0.8213,且94.2%的残差位于±2σ区间内。对2024至2028年的预测显示,月均住院人数将在约8,000至12,200例之间波动。时空分析揭示显著生态异质性:北部高负担地区虽绝对值波动大,但相对模式稳定。该框架为流行区提供可扩展的概率预测方案,支持加纳国家级疟疾控制策略。

原文摘要 · Abstract (English)

Accurate malaria forecasting remains a major challenge in sub-Saharan Africa, where strong seasonality, reporting uncertainty, and non-stationary transmission dynamics reduce the reliability of conventional models. In Ghana, district-level malaria surveillance requires forecasting frameworks that are probabilistically rigorous and robust under limited data. This study proposes a hybrid framework integrating Gaussian Process Regression (GPR) with Holt-Winters exponential smoothing for modelling monthly under-five malaria admissions. GPR captures non-linear behaviour and predictive uncertainty, while Holt-Winters stabilises long-horizon forecasts and preserves seasonal structure. Using ten years of district-level data (2014-2023), performance was evaluated via rolling-origin expanding-window validation. The hybrid model achieved $R^2 = 0.9906$ versus $0.8213$ for Holt-Winters alone, with $94.2\%$ of residuals within $\pm 2σ$ bounds. Forecasts for 2024-2028 project average monthly admissions from approximately 8{,}000 to 12{,}200 cases. Spatio-temporal analysis revealed pronounced ecological heterogeneity: northern high-burden districts exhibited stable relative patterns despite large absolute fluctuations. The framework provides a scalable probabilistic approach for malaria early warning and operational planning in endemic settings, supporting Ghana's national malaria control strategy.

疟疾预测概率建模时间序列

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