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MODELLING AND SIMULATION OF VOLUMETRIC RAINFALL FOR A CATCHMENT IN THE MURRAY–DARLING BASIN

Part of: Distribution theory Applications Probabilistic methods, simulation and stochastic differential equations

Published online by Cambridge University Press:  08 September 2016

J. BOLAND Open the ORCID record for J. BOLAND [Opens in a new window] ,
P. HOWLETT Open the ORCID record for P. HOWLETT [Opens in a new window] ,
J. PIANTADOSI Open the ORCID record for J. PIANTADOSI [Opens in a new window]  and
R. ZAKARIA Open the ORCID record for R. ZAKARIA [Opens in a new window]
J. BOLAND
Affiliation:
Scheduling and Control Group (SCG), Centre for Industrial and Applied Mathematics (CIAM), School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes, 5095, South Australia email [email protected], [email protected], [email protected]
P. HOWLETT*
Affiliation:
Scheduling and Control Group (SCG), Centre for Industrial and Applied Mathematics (CIAM), School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes, 5095, South Australia email [email protected], [email protected], [email protected]
J. PIANTADOSI
Affiliation:
Scheduling and Control Group (SCG), Centre for Industrial and Applied Mathematics (CIAM), School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes, 5095, South Australia email [email protected], [email protected], [email protected]
R. ZAKARIA
Affiliation:
Faculty of Industrial Sciences and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan Pahang, Malaysia email [email protected]
*
✉ [email protected]
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Abstract

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We discuss modelling and simulation of volumetric rainfall in a catchment of the Murray–Darling Basin – an important food production region in Australia that was seriously affected by a recent prolonged drought. Consequently, there has been sustained interest in development of improved water management policies. In order to model accumulated volumetric catchment rainfall over a fixed time period, it is necessary to sum weighted rainfall depths at representative sites within each sub-catchment. Since sub-catchment rainfall may be highly correlated, the use of a Gamma distribution to model rainfall at each site means that catchment rainfall is expressed as a sum of correlated Gamma random variables. We compare four different models and conclude that a joint probability distribution for catchment rainfall constructed by using a copula of maximum entropy is the most effective.

Keywords

rainfall modellingcorrelated Gamma distributionscopulas of maximum entropy

MSC classification

Primary: 62E17: Approximations to distributions (nonasymptotic)
Secondary: 62P12: Applications to environmental and related topics 65C05: Monte Carlo methods 65C20: Models, numerical methods
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 2 , October 2016 , pp. 119 - 142
Copyright
© 2016 Australian Mathematical Society 

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