SOME MODELS FOR RAINFALL BASED ON STOCHASTIC POINT-PROCESSES

SOME MODELS FOR RAINFALL BASED ON STOCHASTIC POINT-PROCESSES
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DOI:
10.1098/rspa.1987.0039
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发表时间:
1987-04-08
影响因子:
--
通讯作者:
ISHAM, V
ISHAM, V
中科院分区:
其他
文献类型:
--
作者:
RODRIGUEZ-ITURBE, I;COX, DR;ISHAM, V

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讨论了空间固定点降雨强度变化的随机模型。首先,分析模型,其中风暴事件发生在泊松过程中,每个此类事件都与随机持续时间和恒定但随机强度的降雨周期相关。总降雨强度是通过添加所有风暴事件的贡献而形成的。然后研究类似但更复杂的模型,其中风暴以泊松过程出现,每次风暴都会产生一组雨细胞,每个雨细胞都与随机的降雨周期相关。这些模型的主要属性是通过分析确定的。对科罗拉多州丹佛市的一些每小时降雨量数据的分析表明,聚类模型更加令人满意。
Stochastic models are discussed for the variation of rainfall intensity at a fixed point in space. First, models are analysed in which storm events arise in a Poisson process, each such event being associated with a period of rainfall of random duration and constant but random intensity. Total rainfall intensity is formed by adding the contributions from all storm events. Then similar but more complex models are studied in which storms arise in a Poisson process, each storm giving rise to a cluster of rain cells and each cell being associated with a random period of rain. The main properties of these models are determined analytically. Analysis of some hourly rainfall data from Denver, Colorado shows the clustered models to be much the more satisfactory.