中国小时降水量阈值计算方法评估

Evaluation of Methods for Calculating Hourly Precipitation Thresholds in China

  • 摘要: 基于我国1951—2023年2464个有人值守站和2008—2023年40437个无人值守站的逐时降水数据,分析极值理论模型广义极值分布和皮尔逊Ⅲ型分布与经验分布方法(百分位排序法、百分位插值法、Z指数及平(立)方根变换法)在小时降水量阈值估计中的适用性差异。结果表明:在数据特征方面,小时降水量呈显著右偏分布,传统正态化方法(Z指数、平方根、立方根变换)对降水量样本的正态性改善有限。设定高截断阈值(如20 mm)可提升正态化效果,但在强降水频发区效果仍不理想。不同方法估算的降水量阈值空间分布相似,高值区主要集中在华南和华北东部,其中河南南部—安徽中部—浙江北部为西北—东南向的低值带,华北西部及西北为低值区。由于统计原理差异,极值理论模型的降水量阈值普遍高于经验分布方法。在方法适用性方面,极值理论模型适用于基于长期观测数据的低频极端事件推算,其中广义极值分布对极端值更加敏感;经验分布方法在短序列或无分布假设条件下更具优势,且空间可移植性良好。截断值的选取应根据研究目的确定:低截断适合广义分析,高截断更适用于极端降水研究。

     

    Abstract: The applicability of different statistical approaches for estimating hourly precipitation thresholds across China is evaluated using data from 2464 manned weather station and 40437 unmanned weather station. Two categories of methods are compared: Extreme value theory models (EVT)-namely the Generalized Extreme Value (GEV) distribution and the Pearson type Ⅲ (P-Ⅲ) distribution, and empirical distribution-based techniques, including percentile ranking, percentile interpolation, the Z-index, and square/cube root transformations.
    Several important findings emerge from the analysis. First, the statistical characteristics of 1-h precipitation are found to be markedly right-skewed, reflecting the dominance of infrequent but intense rainfall events. Conventional normalization techniques, such as the Z-index or root transformations, are observed to enhance distributional normality only to a limited extent. The effectiveness of these methods improves under high truncation thresholds (e.g., 20 mm), yet in regions with frequent heavy rainfall events, their ability to approximate normality remains insufficient. Second, the spatial distribution of precipitation thresholds estimated by different methods is broadly consistent. High threshold values are mainly observed in South China and eastern North China. In contrast, a pronounced northwest-southeast oriented low-value belt is identified, extending from southern Henan through central Anhui to northern Zhejiang, while low values also dominate western North China and the arid northwest region. Third, systematic differences emerge between two methodological categories due to their underlying statistical principles. Thresholds derived from extreme value theory models are generally higher than those estimated from empirical methods. Among the EVT models, the GEV distribution shows greater sensitivity to the most extreme values, making it particularly suitable for characterizing rare and intense rainfall events. In contrast, the P-Ⅲ distribution, though effective, tends to be less responsive to the extremes. Empirical approaches are advantageous involving short data records or when no distributional assumptions can be justified, and they also demonstrate strong spatial transferability across regions. Finally, the selection of the truncation threshold is shown to be critical and should be determined according to research objectives. Low thresholds (e.g., 0.1 mm) are suitable for generalized climatological analyses, whereas higher thresholds are more appropriate for the study of extreme events. This flexibility underscores the importance of aligning methodological decisions with the intended application, whether for hydrological risk assessment, infrastructure planning, or broader climatological studies. For nationwide threshold estimation at individual stations, percentile interpolation is identified as the most suitable method due to its distribution-free nature and applicability to shorter records (e.g., more than 10 years), making it ideal for regional stations or gridded precipitation products with limited temporal coverage. In contrast, region-specific or seasonal analyses require careful selection of truncation thresholds based on local precipitation climatology to enhance representativeness-lower thresholds are sufficient for general climate studies, whereas higher thresholds are more effective in isolate extreme events, particularly in flood-prone regions.

     

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