Managing river flow in arid regions with matrix analytic methods

dc.contributor.authorFisher, A.
dc.contributor.authorGreen, D.
dc.contributor.authorMetcalfe, A.
dc.date.issued2010
dc.description.abstractMatrix analytic methods (MAM) support non-geometric transitions between sets of states, termed levels, by introducing states, known as phases, within levels. The phases can correspond to an observed variable or they can be hidden. MAM models have been extensively used in telecommunications, and efficient algorithms for evaluation of performance continue to be developed. Following a review of MAM in discrete time, the daily flows of the ephemeral Cooper Creek, in South Australia, are modelled. Hidden phases are used in the distribution of the duration of the dry spells, whereas observed phases, are used within non-zero flow levels. Seasonal and non-seasonal models are compared. A second application is managing the level of a reservoir in Queensland, using MAM within stochastic dynamic programming. Inflows to the reservoir are seasonal and influenced by the value of the Southern Oscillation Index (SOI), which is used to define phases. The benefit of including SOI in the decision process is shown.
dc.description.statementofresponsibilityA.J. Fisher, D.A. Green and A.V. Metcalfe
dc.identifier.citationJournal of Hydrology, 2010; 382(1-4):128-137
dc.identifier.doi10.1016/j.jhydrol.2009.12.023
dc.identifier.issn0022-1694
dc.identifier.issn1879-2707
dc.identifier.orcidMetcalfe, A. [0000-0002-7680-3577]
dc.identifier.urihttp://hdl.handle.net/2440/57648
dc.language.isoen
dc.publisherElsevier Science BV
dc.source.urihttps://doi.org/10.1016/j.jhydrol.2009.12.023
dc.subjectDaily streamflow
dc.subjectIntermittent streams
dc.subjectSpate flow
dc.subjectMarkov chain
dc.subjectPhase-type distribution
dc.subjectMarkov decision process
dc.titleManaging river flow in arid regions with matrix analytic methods
dc.typeJournal article
pubs.publication-statusPublished

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