Applications of conditional value-at-risk to water resources management.

Date

2009

Authors

Webby, Roger Brian

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Metcalfe, Andrew
Boland, John William
Howlett, Phil

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Thesis

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Abstract

In this thesis I develop mathematical models of freshwater resources and assess the application of a risk measure, Conditional Value-at-Risk, as a criterion for making decisions on the allocation of these resources. The nature of hydrological systems is such that they are well represented by stochastic models. The models considered are: time simulation; stochastic and deterministic linear programming; and stochastic dynamic programming. The hydrological applications are: draw down of dams; allocation and blending of water resources; operation of a small-scale solar-powered desalination plant; and insurance against fishery and crop shortfall. In water resource applications, optimisation models usually have the goal of maximising expected return, or utility, but here I demonstrate that the minimisation of the risk metric is a relevant additional criterion to expected return for water resource management.

School/Discipline

School of Mathematical Sciences

Dissertation Note

Thesis (Ph.D) - School of Mathematical Science, 2009

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Copyright material removed from digital thesis. See print copy in University of Adelaide Library for full text.

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