Advanced matrix-analytic methods with applications. Over the last twenty-five years, matrix-analytic methods have proved to be very successful in formulating and analysing certain classes of stochastic models. Motivated by applications, this project will investigate more advanced matrix-analytic methods than have hitherto been studied.
Implications of Global Economic Forces for Domestic Monetary Policy. The project aims to quantify and understand the extent to which international factors affect key macroeconomic variables such as inflation and interest rates in open economies. The aims will be achieved through the development and application of new macroeconomic and econometric models. Expected outcomes are new insights and policy recommendations on how to appropriately conduct monetary policy for an open economy such as Austr ....Implications of Global Economic Forces for Domestic Monetary Policy. The project aims to quantify and understand the extent to which international factors affect key macroeconomic variables such as inflation and interest rates in open economies. The aims will be achieved through the development and application of new macroeconomic and econometric models. Expected outcomes are new insights and policy recommendations on how to appropriately conduct monetary policy for an open economy such as Australia. This should provide significant benefits to the broader Australian economy through the conduct of suitable policy by institutions such as the Reserve Bank of Australia.Read moreRead less
Economic analysis of child maltreatment and child protection. This project aims to investigate the economic causes and consequences of child maltreatment. It expects to generate new knowledge by applying microeconometric methods to large Australian administrative databases that track children’s health, education and welfare receipt over time. The expected outcomes of this project include an expanded knowledge base on how economic shocks affect maltreatment, the economic consequences of placing c ....Economic analysis of child maltreatment and child protection. This project aims to investigate the economic causes and consequences of child maltreatment. It expects to generate new knowledge by applying microeconometric methods to large Australian administrative databases that track children’s health, education and welfare receipt over time. The expected outcomes of this project include an expanded knowledge base on how economic shocks affect maltreatment, the economic consequences of placing children in out-of-home care, and the value of economic policies for reducing the intergenerational transmission of maltreatment. This should provide significant benefits, such as providing practical evidence to policy makers and service providers that help prevent child maltreatment and reduce its harms.Read moreRead less
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
New estimation and testing issues in nonlinear time series econometrics. The outcomes of this project will not only complement but also enhance the existing strengths of Australian researchers in the field of econometrics. The outcomes are also expected to help stabilise the national financial market for more accurate forecasts. It is also expected that the outcomes will provide novel models to respond to climate change and variability and to provide accurate warming estimates for improving the ....New estimation and testing issues in nonlinear time series econometrics. The outcomes of this project will not only complement but also enhance the existing strengths of Australian researchers in the field of econometrics. The outcomes are also expected to help stabilise the national financial market for more accurate forecasts. It is also expected that the outcomes will provide novel models to respond to climate change and variability and to provide accurate warming estimates for improving the policy making process.Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
Symmetries in real and complex geometry. This project concerns an important area of abstract modern geometry. The results and techniques of the project will lead to significant progress in this area. It will benefit the national scientific reputation, strengthen the research profile of the home institutions, and provide training to young researchers.
Coevolution of sundew bugs and sundews. This project aims to conduct a study of insect-plant interactions to determine if insects and plants coevolve or if they diversify by other evolutionary processes. Insect-plant coevolution is a hotly contested field in evolutionary biology. In Australia, a remarkable interaction exists between carnivorous plants and a group of bugs that steal the plant’s prey. This system offers a great opportunity to test competing coevolutionary theories through a combin ....Coevolution of sundew bugs and sundews. This project aims to conduct a study of insect-plant interactions to determine if insects and plants coevolve or if they diversify by other evolutionary processes. Insect-plant coevolution is a hotly contested field in evolutionary biology. In Australia, a remarkable interaction exists between carnivorous plants and a group of bugs that steal the plant’s prey. This system offers a great opportunity to test competing coevolutionary theories through a combination of historical and ecological approaches. The project expects to showcase the evolution and uniqueness of Australia’s native biota.Read moreRead less
Plastic brains: Neural adaptations to changing environments in reptiles. The project aims to quantify brain anatomy on an unprecedented scale in comparative neurobiology. Focusing on Australia’s diverse and extensive collection of reptiles, including goannas, dragons and venomous snakes, the project expects to generate new knowledge on the evolution of brains as these animals adapted to new habitats and climates. Data will be collected by cutting-edge micro-CT technology and advanced phylogeneti ....Plastic brains: Neural adaptations to changing environments in reptiles. The project aims to quantify brain anatomy on an unprecedented scale in comparative neurobiology. Focusing on Australia’s diverse and extensive collection of reptiles, including goannas, dragons and venomous snakes, the project expects to generate new knowledge on the evolution of brains as these animals adapted to new habitats and climates. Data will be collected by cutting-edge micro-CT technology and advanced phylogenetic techniques, which will be complemented by detailed neuroanatomy. Expected outcomes include enhanced understanding of the effects of temperature on brains, and a large database of 3D digital anatomical models. A major benefit includes a greater ability to mitigate the effects of environmental change.Read moreRead less
New methods for improving active adaptive management in biological systems. Understanding population dynamics is critical in many areas of national importance to Australia, such as protection of biodiversity, management of invasive species and prediction of the possible effects of climate change. This project will develop a collection of state-of-the-art methods enabling optimal ecological management.