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...
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| Format: | Article |
| Language: | English |
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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/14837/1/fist-2016-ros-Modelling%20and%20Simulation%20of%20Volumetric%20Rainfall.pdf |
| _version_ | 1848819821802684416 |
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| author | Boland, J. W. Howlett, P. G. Piantadosi, J. Roslinazairimah, Zakaria |
| author_facet | Boland, J. W. Howlett, P. G. Piantadosi, J. Roslinazairimah, Zakaria |
| author_sort | Boland, J. W. |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T01:59:39Z |
| format | Article |
| id | ump-14837 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:59:39Z |
| publishDate | 2016 |
| publisher | Australian Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-148372018-10-03T05:51:56Z http://umpir.ump.edu.my/id/eprint/14837/ Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin Boland, J. W. Howlett, P. G. Piantadosi, J. Roslinazairimah, Zakaria GB Physical geography 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. Australian Mathematical Society 2016 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/14837/1/fist-2016-ros-Modelling%20and%20Simulation%20of%20Volumetric%20Rainfall.pdf Boland, J. W. and Howlett, P. G. and Piantadosi, J. and Roslinazairimah, Zakaria (2016) Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin. ANZIAM Journal. pp. 1-24. ISSN 1445-8735. (In Press / Online First) (In Press / Online First) http://dx.doi.org/10.1017/S1446181116000183 DOI: 10.1017/S1446181116000183 |
| spellingShingle | GB Physical geography Boland, J. W. Howlett, P. G. Piantadosi, J. Roslinazairimah, Zakaria Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin |
| title | Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin |
| title_full | Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin |
| title_fullStr | Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin |
| title_full_unstemmed | Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin |
| title_short | Modelling and Simulation of Volumetric Rainfall for a Catchment in the Murray-Darling Basin |
| title_sort | modelling and simulation of volumetric rainfall for a catchment in the murray-darling basin |
| topic | GB Physical geography |
| url | 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 |