arXiv:2606.00783stat.APcs.AI2026-06被引 1

用贝叶斯方法精准建模加纳疟疾波动,预测未来三年疫情趋势。

Bayesian Inference of Nonlinear Malaria Dynamics in Ghana via an Ensemble Markov Chain Monte Carlo Sampler

论文配图:Bayesian Inference of Nonlinear Malaria Dynamics in Ghana via an Ensemble Markov Chain Monte Carlo Sampler
图 1 · 摘自论文原文
  • 结合三次函数与衰减振荡核,构建非线性疟疾动态模型。
  • 对5岁以下儿童和5岁以上人群的预测拟合度超99.5%,残差低于2%。
  • 揭示城乡差异显著,适合公共卫生决策者用于制定防控策略。

撒哈拉以南非洲地区疟疾动态的可靠量化受限于短期、噪声大且空间异质的监测记录。加纳2014至2023年的医疗机构数据揭示了住院人数在年龄组间的非线性波动,现有方法难以捕捉随机变异性或提供可信的不确定性范围。本研究提出一种贝叶斯非线性推断框架,整合立方基准与阻尼振荡核,通过仿射不变的集合马尔可夫链蒙特卡洛采样器进行估计。该框架适应数据有限情况,建模参数不确定性,并生成5岁以下儿童及5岁以上人群的概率预测。结果表明,<5岁组与≥5岁组的拟合优度分别为R²=0.9958和R²=0.9956,残差误差低于2%,后验分布充分混合,确认收敛。区级分析显示显著空间异质性,变异系数从库马西等城市中心的<0.07到姆波霍尔、比亚东等边缘地区的>3.3不等。2024–2026年预测显示疫情将逐步回升:5岁以下儿童病例从13.7万增至14.9万,5岁以上人群从34.8万增至37.5万,不确定性随时间扩大。该贝叶斯框架提供概率预测,为预判疟疾波动、强化加纳国家疟疾控制战略的数据驱动决策提供科学工具。

原文摘要 · Abstract (English)

Reliable quantification of malaria dynamics in sub-Saharan Africa is hindered by short, noisy, and spatially heterogeneous surveillance records. In Ghana, health-facility data from 2014 to 2023 reveal non-linear and age-specific fluctuations in hospital admissions, yet existing approaches struggle to capture stochastic variability or provide credible uncertainty bounds. This study develops a Bayesian nonlinear inference framework that integrates a cubic baseline with a damped oscillatory kernel, estimated via an affine-invariant ensemble Markov Chain Monte Carlo sampler. The framework accommodates limited data, models parameter uncertainty, and generates probabilistic forecasts for children under five years and individuals aged five years or more. Results show strong empirical adequacy ($R^2 = 0.9958$ for $<5$ years; $R^2 = 0.9956$ for $\geq 5$ years) with residual errors below $2\%$ and well-mixed posteriors confirming convergence. District-level analysis reveals pronounced spatial heterogeneity, with coefficients of variation ranging from $<0.07$ in urban centres such as Kumasi to $>3.3$ in peripheral districts such as Mpohor and Bia East. Forecasts for 2024-2026 indicate a gradual resurgence: from 137,000 to 149,000 cases among children under five years and from 348,000 to 375,000 cases among older individuals, with uncertainty widening over time. By producing probabilistic forecasts, this Bayesian framework provides a principled tool for anticipating malaria fluctuations and strengthening data-driven decision-making in Ghana's national malaria control strategy.

疟疾预测贝叶斯推断非线性模型公共卫生

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