基於碎形尺度特性之區域雨量強度公式

Regional Rainfall Intensity Formulas Based on Scaling Property of Fractal

游保杉(Pao-Shan Yu) ； 林金聲(Chin-Sheng Lin) ； 林淑真(Shu-Chen Lin)

《中華水土保持學報》 32卷1期 (2001/03) Pp. 45-57

https://doi.org/10.29417/JCSWC.200103_32(1).0006

摘要

本研究嘗試利用尺度（Scaling）理論發展一區域雨量強度公式，以臺灣北部46個自記雨量站爲研究對象，並依據年最大降雨序列之時間尺度關係，結合尺度特性與Gumbel分佈（即EV1分佈）發展一IDF公式。由於IDF尺度公式中之參數大多可由年一日最大降雨直接計算推求，僅需藉尺度指數與年一日最大降雨序列之平均值建立區域性關係，即可發展爲區域雨量強度公式。而在發展區域公式之前，首先依據時間尺度特性將北部地區劃分爲三個降雨尺度特性均一區，研究結果發現，各均一區所發展之區域公式在率定與驗證上均有不錯且合理之結果。

關鍵字

區域雨量強度公式 ； 尺度 ； 未量測地點

並列摘要

The study attempts to develop regional IDF formulas for ungauged site based on ＂scaling＂ theory. Forty-six recording rain gauges over northern Taiwan provide the data set. The temporal scaling properties of annual maximum series for various rainfall durations were first investigated. The study further combined the simple scaling hypothesis with Gumbel distribution to develop the IDF scaling formulas. As most of the parameters for IDF scaling formulas could be estimated from the annual 1-day maximum series, IDF scaling formulas can only be regionalized based on the regression relationship between scale exponent and the average of daily annual maximum rainfall. Three scaling homogeneous rainfall regions were classified by different scaling regimes and the regional rainfall formulas generated in three homogeneous regions of northern Taiwan were found to have reasonable simulation and can be verified easily.

並列關鍵字

regional IDF ； scaling ； ungaged site