A doubly stochastic rainfall model with exponentially decaying pulses

被引：5

作者：

Ramesh, N. I. ^{[1
]}

Garthwaite, A. P. ^{[1
]}

Onof, C. ^{[2
]}

机构：

[1] Univ Greenwich, Dept Math Sci, Old Royal Naval Coll, Maritime Greenwich Campus,Pk Row, London SE10 9LS, England

[2] Imperial Coll London, Dept Civil & Environm Engn, London SW7 2AZ, England

来源：

STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT | 2018年 / 32卷 / 06期

关键词：

Doubly stochastic; Point process; Rainfall intensity; Exponential pulse; Accumulated rainfall; MODULATED POISSON PROCESSES; POINT PROCESS MODELS; CLUSTER MODEL; MOMENTS;

D O I：

10.1007/s00477-017-1483-z

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

We develop a doubly stochastic point process model with exponentially decaying pulses to describe the statistical properties of the rainfall intensity process. Mathematical formulation of the point process model is described along with second-order moment characteristics of the rainfall depth and aggregated processes. The derived second-order properties of the accumulated rainfall at different aggregation levels are used in model assessment. A data analysis using 15 years of sub-hourly rainfall data from England is presented. Models with fixed and variable pulse lifetime are explored. The performance of the model is compared with that of a doubly stochastic rectangular pulse model. The proposed model fits most of the empirical rainfall properties well at sub-hourly, hourly and daily aggregation levels.

引用

页码：1645 / 1664

页数：20

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