用神经网络精准预测地震频次,识别空间差异并提升极端事件预警能力
Neural Negative Binomial Regression for Weekly Seismicity Forecasting: Per-Cell Dispersion Estimation and Tail Risk Assessment

- 通过神经网络实现每个网格的自适应离散参数估计,捕捉地震活动的空间异质性
- 在尾部区域(周震级≥5)连续概率评分降低12.5%,极端事件预测更准
- 适合关注地震风险预警与概率化决策的地质、应急管理部门
标准地震周频预测方法依赖全局单一离散假设的泊松分布。我们发现中亚地区(2010–2024)地震数据严重违背泊松假设,边界校正似然比检验结果极显著(p < 10^{-179})。本文提出EarthquakeNet架构,利用空间嵌入与多层感知机,端到端地为每个网格单元估计超离散参数α,无需显式指定空间协方差。相比传统负二项回归仅使用全局α的方法,该模型可识别地震聚集的空间差异,并基于预测分布分位数构建概率化风险警报。在2018–2023年四套系统上的走时评估显示,平均分位损失(MPD)较负二项GLM基线降低8.6%;尾部区域(Y ≥ 5)连续概率评分(CRPS)下降12.5%,表明极端事件预测校准性显著提升。
原文摘要 · Abstract (English)
Standard approaches to forecasting the weekly number of earthquakes on a spatial grid rely on the Poisson distribution with a single global dispersion assumption. We show that this assumption is systematically violated in seismic data from Central Asia (2010-2024), where a likelihood-ratio test with boundary correction strongly rejects the Poisson hypothesis (p < 10^{-179}). The main contribution of this work is the EarthquakeNet architecture, which provides an endogenous per-cell estimate of the overdispersion parameter alpha via a neural network (spatial embeddings + MLP), without explicit spatial covariance specification. In contrast to existing negative binomial regression approaches in seismological forecasting, which typically assume a single global alpha, the proposed per-cell formulation allows the model to identify spatial heterogeneity in seismic clustering and to construct probabilistic risk-aware alerts via quantiles of the predicted distribution. A walk-forward evaluation (2018-2023) over four systems shows an 8.6 percent reduction in mean pinball deviation (MPD) relative to a negative binomial GLM baseline. The strongest improvements are observed in the tail regime (Y >= 5), where the continuous ranked probability score (CRPS) of the proposed model is 12.5 percent lower than that of the baseline, indicating improved calibration in extreme-event forecasting.
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