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Circulation pattern based parameterization of a multiplicative random cascade for disaggregation of observed and projected daily rainfall time series

机译:基于循环模式的乘法随机级联的参数化,用于观察和预测的每日降雨时间序列的分解

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The use of multiplicative random cascades (MRCs) for temporal rainfall disaggregation has been extensively studied in the past. MRCs are appealing for rainfall disaggregation due to their formal simplicity and the possibility to extract the model parameters directly from observed high resolution rainfall data. These parameters, however, represent the rainfall characteristics of the observation period. Since rainfall characteristics of different time slices are changing due to climate variability, we propose a parameterization approach for MRCs to adjust the parameters according to past (observed) or future (projected) time series. This is done on the basis of circulation patterns (CPs) by extracting a distinct MRC parameterization from high resolution rainfall data, as observed on days governed by each individual CP. The parameterization approach is tested by comparing the statistical properties of disaggregated rainfall time series of two time slices, 1969–1979 and 1989–1999, to the results obtained by two other disaggregation methods (a conceptually similar MRC without CP-based parameterization and a recombination approach) and to the statistical properties of observed hourly rainfall data. In this context, all three approaches use rainfall data of the time slice 1989–1999 for parameterization. We found that the inclusion of CPs into the parameterization of a MRC yields hourly time series that better reproduce the properties of observed rainfall in time slice 1989–1999, as compared to the simple MRC. Despite similar results of both MRCs in the validation period of 1969–1979, we can conclude that the CP-based parameterization approach is applicable for temporal rainfall disaggregation in time slices distinct from the parameterization period. This approach accounts for changes in rainfall characteristics due to changes in the frequency of occurrence of the CPs and allows generating hourly rainfall from daily data, as often provided by a statistical downscaling of global climate change.
机译:过去的使用乘法随机级联(MRCS)已经广泛研究了时间降雨分类。由于其正式的简单性和可能直接从观察到的高分辨率降雨数据提取模型参数的可能性,MRCS正在吸引降雨分类。然而,这些参数代表了观察期的降雨特征。由于不同时间片的降雨特性由于气候变化而改变,因此我们提出了MRC的参数化方法,以根据过去(观察)或未来(预计)时间序列调整参数。这是基于循环模式(CPS)来通过从高分辨率降雨数据中提取不同的MRC参数化来完成,如在每个单独的CP管理的日子中所观察到的。通过比较分类降雨时间序列的两个时间片,1969-1979和1989-1999的分类降雨时间序列的统计特性来测试参数化方法,以通过另外两种其他分解方法获得的结果(没有基于CP的参数化和重组的概念上类似的MRC和重组方法)和观察到的每小时降雨数据的统计特性。在此上下文中,所有三种方法都使用时间片1989-1999的降雨数据进行参数化。我们发现,与简单的MRC相比,将CP纳入MRC的参数化产生的时间时间序列,从而更好地再现观察到的降雨量的降雨量。尽管在1969-1979的验证期间有类似的MRC的结果,我们可以得出结论,基于CP的参数化方法适用于与参数化期间不同的时间片中的时间降雨分类。这种方法由于CPS发生频率的变化而导致的降雨特性的变化,并且允许从日常数据中产生每小时降雨,正如全球气候变化的统计侦测一样。

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