Mathematical models for water management systems. The Australian community is currently talking about schemes to return water to the Murray-Darling river system to combat increased salinity and dramatically reduced river flow. Many believe that vastly improved water management policies are essential to maintain agricultural well-being in Australia. Salinity and water quality depend directly on flow rates and are also important in smaller catchments. In this study we will use statistical rainf ....Mathematical models for water management systems. The Australian community is currently talking about schemes to return water to the Murray-Darling river system to combat increased salinity and dramatically reduced river flow. Many believe that vastly improved water management policies are essential to maintain agricultural well-being in Australia. Salinity and water quality depend directly on flow rates and are also important in smaller catchments. In this study we will use statistical rainfall models and stochastic dynamic programming to find practical water management policies that minimise the risk to water supply. We will develop an interactive simulation and management tool using a modern computer graphics package.Read moreRead less
A graphical simulation package for optimal management and risk assessment in urban stormwater harvesting systems. We will develop a Scalar Vector Graphics (SVG) simulation tool for optimal management and risk assessment in urban stormwater harvesting and utilisation schemes. The generic model will be applied to existing and proposed schemes within the City of Salisbury (CoS) and will include a capture dam, one or more storage dams and an aquifer storage and recovery (ASR) facility. The discret ....A graphical simulation package for optimal management and risk assessment in urban stormwater harvesting systems. We will develop a Scalar Vector Graphics (SVG) simulation tool for optimal management and risk assessment in urban stormwater harvesting and utilisation schemes. The generic model will be applied to existing and proposed schemes within the City of Salisbury (CoS) and will include a capture dam, one or more storage dams and an aquifer storage and recovery (ASR) facility. The discrete state vector will be the content of each storage unit and the daily transition will be driven by a new stochastic rainfall model (SRM). The objective will be to find a practical management policy that minimises Conditional Value-at-Risk (CVaR).Read moreRead less
Innovations in Bayesian inference with applications to climate extremes. Climate extremes have immense impacts on Australia and society, affecting agriculture, water supply and management, bushfire control, utilities, power, insurance, the economy and many other sectors. This project will examine possible changes in the frequency and intensity of Australian extreme rainfall, droughts, flooding and tropical cyclones using innovative Bayesian statistical methods. The project will provide valuable ....Innovations in Bayesian inference with applications to climate extremes. Climate extremes have immense impacts on Australia and society, affecting agriculture, water supply and management, bushfire control, utilities, power, insurance, the economy and many other sectors. This project will examine possible changes in the frequency and intensity of Australian extreme rainfall, droughts, flooding and tropical cyclones using innovative Bayesian statistical methods. The project will provide valuable training to Australian graduates in Bayesian computation and the statistical modelling of climate extremes. It will enhance Australia's reputation as a strong contributor to the development of Bayesian methodologies and climate research, and help foster collaborations between climate and mathematical scientists.Read moreRead less