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Mathematical models of rainstorm events in space and time
Author(s) -
RodriguezIturbe Ignacio,
Eagleson Peter S.
Publication year - 1987
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr023i001p00181
Subject(s) - point process , storm , covariance , poisson process , poisson point process , cox process , stochastic process , poisson distribution , cluster analysis , meteorology , mathematics , environmental science , statistics , geography
The spatial and temporal structure of rainfall from storm events is investigated using point process techniques. Cells are assumed to be distributed in space either independently according to a Poisson process, or with clustering according to a Neyman‐Scott scheme. Cells are born randomly through the storm and their rain is spread in time and space according to functions which may include random parameters. Two processes are studied: the rainfall intensity process which in reality is never measured and the cumulative rainfall process through the life of the storm. The mean, variance, and covariance structure are obtained for both processes under the different assumed models.