Meteorological Early Warning of Landslide Based on I⁃D⁃R Threshold Model
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摘要: 建立滑坡灾害多维度气象预警判据和划分“网格化”预警单元能够为滑坡灾害气象预警提供科学依据.本文以浙江省金华市磐安县205个降雨型滑坡为研究对象，首先，基于平均有效降雨强度‒降雨历时（I⁃D）阈值模型，采用普通最小二乘回归（OLSQ）和分位数回归（QR）划分临界阈值曲线；其次，引入当日降雨量（R），进一步优化I⁃D阈值模型，建立I⁃D⁃R阈值模型，采用不同参数估计方法对比不同阈值模型精度，选择最优阈值模型作为磐安县滑坡灾害气象预警判据；最后，基于降雨分布的差异性，在划分地形单元的基础上利用泰森多边形（VD）建立了乡镇级别的“网格化”预警单元.结果显示：（1）I⁃D⁃R阈值模型相比于I⁃D阈值模型具有更好的预警精度，且基于QR的I⁃D⁃R阈值模型效果更好，警告及以上阈值等级精度提升到50%，特别注意及以上阈值等级精度提升到88.9%；（2）采用基于QR的I⁃D⁃R降雨阈值作为磐安县51个预警单元四级气象预警（红、橙、黄、蓝）的判据，并提出相应的应急响应措施.研究成果提供了一种新的阈值模型，能够为磐安县区域气象预警提供借鉴与参考.Abstract: The establishment of the multi-dimensional meteorological early warning criterion of landslide and the division of the "grid" early warning unit can provide a scientific basis for the landslide early warning, for the purpose of which 205 rainfall-induced landslides in Panan County, Zhejiang Province were studied in this paper. Firstly, based on the average effective rainfall intensity-diachronic (I-D) threshold model, the critical threshold curves were divided by ordinary least squares regression (OLSQ) and quantile regression (QR). Secondly, the I-D-R threshold model was established by the I-D threshold model optimized by considering the daily rainfall (R), and different parameter estimation methods were used to compare the accuracy of different threshold models. The optimal threshold model was considered as the meteorological early warning criterion for landslide disasters in Pan'an County. Finally, considering the difference of rainfall distribution, the township level grid early warning unit was established by the terrain zoning and Voronoi diagram (VD) of Pan'an. The results show that: (1) The I⁃D⁃R threshold model has better early warning accuracy than the I⁃D model. The I⁃D⁃R threshold model based on QR has a better warning ability, and the accuracy of the threshold degree of warning and above is increased to 50%, and the accuracy of the threshold level of special attention and above is increased to 88.9%; (2) the rainfall conditions with I⁃D⁃R based on QR rainfall threshold are proposed as the early warning criteria (red, orange, yellow and blue) of 51 early warning units in Pan'an County, and the emergency response measures are put forward. A new threshold model is established on the basis of the research results, which can provide reference for regional meteorological early warning in Pan'an County.
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图 1 浙江省磐安县地理位置及灾害点分布
Fig. 1. Geographical location and distribution of disaster in Pan'an County, Zhejiang Province
图 2 磐安县年平均降雨量与最大日降雨量
2021年降雨量统计截至到8月12日
Fig. 2. Annual average rainfall and maximum daily rainfall in Pan'an County
图 4 磐安县月平均降雨量与滑坡比例分布
Fig. 4. Distribution of monthly average rainfall and landslide ratio in Pan'an County
图 5 磐安县滑坡灾害当日降雨量与前期降雨量
Fig. 5. Daily rainfall and early rainfall of landslide disaster in Pan'an County
图 6 基于OLSR和QR方法划分的临界降雨阈值曲线
a. OLSR; b. QR
Fig. 6. Critical rainfall threshold curve based on OLSR and QR methods
图 8 基于不同方法的阈值模型验证
a. OLSR; b. QR
Fig. 8. Threshold model verification based on different methods
图 9 基于OLSR的I⁃D⁃R阈值模型验证
a. 注意级及滑坡；b. 特别注意级及滑坡；c. 警告级及滑坡；d. 严重警告级及滑坡
Fig. 9. I⁃D⁃R threshold model verification based on OLSR
图 10 基于QR的I⁃D⁃R阈值模型验证
a. 注意级及滑坡；b. 特别注意级及滑坡；c. 警告级及滑坡；d. 严重警告级及滑坡
Fig. 10. I⁃D⁃R threshold model verification based on QR
图 11 阈值等级变化点跃级过程（D⁃R视角）
Fig. 11. Threshold grade change point upgrade process (D⁃R view)
图 13 磐安县滑坡灾害气象预警单元
Fig. 13. Meteorological early warning unit of landslide disaster in Pan'an County
图 14 磐安县滑坡灾害气象预警（2021年7月31日）
Fig. 14. Meteorological early warning of landslide disaster in Pan'an County (July 31, 2021)
表 1 基于OLSR和QR方法划分的临界降雨阈值方程
Table 1. critical rainfall threshold equation based on OLSR and QR methods
阈值划分方法 OLSR QR 20%阈值方程 I=32.8D‒0.759 2 I=30.0D‒0.643 0 40%阈值方程 I=44.9D‒0.759 2 I=47.5D‒0.784 3 60%阈值方程 I=70.4D‒0.759 2 I=58.0D‒0.654 1 80%阈值方程 I=103.7D‒0.759 2 I=121.9D‒0.89 7 
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表 2 阈值等级重现期
Table 2. Threshold degrees return periods
气象站点 安文站 大盘站 方前站 严重警告天数（≥121.9 mm/d） 745 678 791 警告及以上天数（≥58.0 mm/d） 138 118 163 特别注意及以上天数（≥47.5 mm/d） 93 85 103 注意及以上天数（≥30.0 mm/d） 33 31 35
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表 3 磐安县四级阈值对应的降雨阈值
Table 3. Rainfall threshold of IV threshold degrees in Pan'an
阈值等级 降雨阈值 注意 ①30.0D‒0.643 0≤I < 47.5D‒0.784 3且R < 47.5 ②I < 30.0D‒0.643 0且30.0≤R < 47.5 特别注意 ①47.5D‒0.784 3≤I < 58.0D‒0.654 1且R < 58.0 ②I < 47.5D‒0.784 3且47.5≤R < 58.0 警告 ①58.0D‒0.654 1≤I < 121.9D‒0.897且R < 121.9 ②I < 58.0D‒0.654 1且58.0≤R < 121.9 严重警告 ①I≥121.9D‒0.897 ②I < 121.9D‒0.897且R≥121.9
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表 4 磐安县四级阈值对应的实际降雨总量
Table 4. Actual total rainfall of IV threshold degrees in Pan'an
阈值等级 宏观累计降雨总量（mm） 注意 [54.6, 74.0) 特别注意 [74.0, 104.3) 警告 [104.3, 167.8) 严重警告 [167.8, ∞)
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表 5 磐安县四级预警管控响应
Table 5. Early warning control response in Pan'an County
预警等级 等级预警管控响应 蓝色预警 发布蓝色预警，预警区域根据滑坡灾害风险情况做好防范. 黄色预警 发布黄色预警，群防群策员开展预报预警区域地质灾害隐患点、风险防范区的巡查与监测；做好地质灾害预防工作情况的每日统计、分析和报告. 橙色预警 发布橙色预警，在黄色预警响应基础上，群防群策员加强巡查与监测，职能部门加大地质灾害气象预警的密度，注意研判地质灾害发展趋势，做好地质灾害隐患点、风险防范区的人员转移等应急工作. 红色预警 发布红色预警，在橙色预警响应基础上，各职能部门24 h应急值守，加强短时预报预警，派驻专业人员驻扎一线指导工作，对地质灾害隐患点、风险防范区等受灾害威胁区域的人员要安置在避灾场所，应急办公室视灾情派遣省级应急专家队伍与应急抢险救援队伍进驻预警区域. 注：风险防范区指各预警单元内有承灾体分布的斜坡单元.
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