Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin
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 managem...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Australian Mathematical Society
2016
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/14837/ http://umpir.ump.edu.my/id/eprint/14837/ http://umpir.ump.edu.my/id/eprint/14837/ http://umpir.ump.edu.my/id/eprint/14837/1/fist-2016-ros-Modelling%20and%20Simulation%20of%20Volumetric%20Rainfall.pdf |
| Summary: | 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. |
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