Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/427
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Type: Journal article
Title: Modelling persistence in annual Australian point rainfall
Author: Whiting, J.
Lambert, M.
Metcalfe, A.
Citation: Hydrology and Earth System Sciences, 2003; 7(2):197-211
Publisher: European Geophysical Society
Issue Date: 2003
ISSN: 1027-5606
1607-7938
Statement of
Responsibility: 
J.P. Whiting, M.F. Lambert, and A.V. Metcalfe
Abstract: Annual rainfall time series for Sydney from 1859 to 1999 is analysed. Clear evidence of nonstationarity is presented, but substantial evidence for persistence or hidden states is more elusive. A test of the hypothesis that a hidden state Markov model reduces to a mixture distribution is presented. There is strong evidence of a correlation between the annual rainfall and climate indices. Strong evidence of persistence of one of these indices, the Pacific Decadal Oscillation (PDO), is presented together with a demonstration that this is better modelled by fractional differencing than by a hidden state Markov model. It is shown that conditioning the logarithm of rainfall on PDO, the Southern Oscillation index (SOI), and their interaction provides realistic simulation of rainfall that matches observed statistics. Similar simulation models are presented for Brisbane, Melbourne and Perth.
Description: © Author(s) 2003. This work is licensed under a Creative Commons License.
RMID: 0020032167
DOI: 10.5194/hess-7-197-2003
Published version: http://www.hydrol-earth-syst-sci.net/7/197/2003/hess-7-197-2003.html
Appears in Collections:Applied Mathematics publications
Civil and Environmental Engineering publications
Environment Institute publications

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