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
ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this ....ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this Centre is to create innovative mathematical and statistical models that can uncover the knowledge concealed within the size and complexity of these big data sets, with a focus on using the models to deliver insight into problems vital to the Centre's Collaborative Domains: Healthy People, Sustainable Environments and Prosperous Societies.Read moreRead less
Liquidity in financial markets. This project aims to develop a theory which models the effect of liquidity on option prices under different market conditions. Economic or financial crises are inevitable and affect economics. During or after a major financial crisis, market liquidity usually becomes risky and needs to be studied. Through both empirical and theoretical explorations, this project will quantify and measure liquidity risk and its effect on the options markets. It will develop a frame ....Liquidity in financial markets. This project aims to develop a theory which models the effect of liquidity on option prices under different market conditions. Economic or financial crises are inevitable and affect economics. During or after a major financial crisis, market liquidity usually becomes risky and needs to be studied. Through both empirical and theoretical explorations, this project will quantify and measure liquidity risk and its effect on the options markets. It will develop a framework to help market regulators manage illiquidity, enhance the efficiency of option trading in illiquid markets and help in the detection of market manipulation.Read moreRead less
Egalitarian Responses to Climate Change. The project will offer significant insights into the effects of climate change and adaptation policy on the disadvantaged at a time when there is significant policy change in this area. The project will develop a philosophical framework for assessing whether current and proposed carbon trading schemes are just. In addition, the project will also consider the important political issue of whether democratic participation in the formation of climate policy i ....Egalitarian Responses to Climate Change. The project will offer significant insights into the effects of climate change and adaptation policy on the disadvantaged at a time when there is significant policy change in this area. The project will develop a philosophical framework for assessing whether current and proposed carbon trading schemes are just. In addition, the project will also consider the important political issue of whether democratic participation in the formation of climate policy is required and in what ways. Read moreRead less
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
Special Research Initiatives - Grant ID: SR0354852
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Sustainable Regions for a Competitive Australia. How can metropolitan, rural and remote regions balance economic and job growth, with environmental and social sustainability? This Initiative establishes a Network of researchers to work collaboratively on questions of environmental best practice, community development, regional governance, labour markets, economic development and technology transfer. The Network's vision is to find ways to use existing and future research to help make Australia ....Sustainable Regions for a Competitive Australia. How can metropolitan, rural and remote regions balance economic and job growth, with environmental and social sustainability? This Initiative establishes a Network of researchers to work collaboratively on questions of environmental best practice, community development, regional governance, labour markets, economic development and technology transfer. The Network's vision is to find ways to use existing and future research to help make Australia's regions more competitive on world markets and more environmentally sustainable, and to help build stronger regional communities. The Network cuts across traditional discipline boundaries to find integrated solutions to the real problems confronting Australian regions.Read moreRead less
Empowering next-generation sea-ice models with wave–ice mathematics. Sea ice is a crucial part of the Australian and global climate systems, and the most sensitive indicator of the alarming climate changes in motion. This project aims to deliver a vital component in next-generation sea-ice models, by modelling ocean waves in the ice-covered ocean, and implementing it in the leading large-scale sea-ice model. The waves-in-ice model will be accurate for the range of possible wave–ice conditions, u ....Empowering next-generation sea-ice models with wave–ice mathematics. Sea ice is a crucial part of the Australian and global climate systems, and the most sensitive indicator of the alarming climate changes in motion. This project aims to deliver a vital component in next-generation sea-ice models, by modelling ocean waves in the ice-covered ocean, and implementing it in the leading large-scale sea-ice model. The waves-in-ice model will be accurate for the range of possible wave–ice conditions, using understanding derived from state-of-the-art experimental measurements. Powerful mathematical approximation methods will be developed to generate model efficiency. The outcomes will create a new standard in sea-ice modelling, with significant benefits for sea-ice forecasting and climate studies.Read moreRead less
Putting death in its place. The project aims to link 890,000 population records to place of residence from 1838 to 1930, to examine the relationships between where people live, mortality, life expectancy and health. Where people live impacts their life-course outcomes. Using novel matching techniques, the project expects to identify intergenerational changes and the spatial dynamics of inequality and social mobility. Expected outcomes include the creation of a public resource of linked data and ....Putting death in its place. The project aims to link 890,000 population records to place of residence from 1838 to 1930, to examine the relationships between where people live, mortality, life expectancy and health. Where people live impacts their life-course outcomes. Using novel matching techniques, the project expects to identify intergenerational changes and the spatial dynamics of inequality and social mobility. Expected outcomes include the creation of a public resource of linked data and a better understanding of long-run health and inequality. These should provide economic and social benefits by informing policy aimed at contemporary social and health challenges, enhancing our understanding of Australian history, and developing public resources.Read moreRead less
Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, i ....Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, integer models usually assume the data is known with certainty, which is often not the case in the real world. This project will develop new theory and algorithms to enhance the analysis of integer models, including those that incorporating uncertainty, while also enabling the use of parallel computing paradigms. Read moreRead less
Innovation in agricultural sector Green House Gas abatement in NSW. This project aims to develop a land sector greenhouse gas abatement, food production and environmental economics model for NSW. We expect to identify innovation in carbon payment policy and brokerage business models to achieve agricultural GHG abatement, while simultaneously improving sustainability. Expected outcomes include evaluation of the innovations of expert landholders, related businesses and governments to find ways to ....Innovation in agricultural sector Green House Gas abatement in NSW. This project aims to develop a land sector greenhouse gas abatement, food production and environmental economics model for NSW. We expect to identify innovation in carbon payment policy and brokerage business models to achieve agricultural GHG abatement, while simultaneously improving sustainability. Expected outcomes include evaluation of the innovations of expert landholders, related businesses and governments to find ways to influence land use decisions. This should provide significant benefits to landholders, governments involved in land management and the public through increased productivity, profitability, biodiversity and ecosystem health in the context of future climate, agricultural commodity and carbon market uncertainties.Read moreRead less