Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has econom ....Markov invariants and phylogenetic tree reconstruction. The project will assist Australia to progress as an innovator in the production phylogenetic tree reconstruction techniques.
Identifying species is a difficult task with environmental, social and economic benefits to Australia. DNA evidence and phylogenetic methods clearly achieve this task. Conservation of rare species depends upon identification and hence robust phylogenetic analysis. Phylogenetically identifying fish species has economic importance as different fish species are all managed separately, having different catch limits, catch areas and market values. Using effective phylogenetic methods, epidemiologists can track the spread of a disease through a population. Read moreRead less
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.
Creating new stochastic models to understand the evolution of gene families. This project aims to extend stochastic modelling techniques in order to develop mathematically rigorous and biologically relevant models for the evolution of gene families. The project expects to model evolutionary processes such as gene retention, duplication and loss, and the generation of new gene functions. The duplication and subsequent re-purposing of genes is thought to be a key mechanism for generating evolution ....Creating new stochastic models to understand the evolution of gene families. This project aims to extend stochastic modelling techniques in order to develop mathematically rigorous and biologically relevant models for the evolution of gene families. The project expects to model evolutionary processes such as gene retention, duplication and loss, and the generation of new gene functions. The duplication and subsequent re-purposing of genes is thought to be a key mechanism for generating evolutionary novelty. By applying these models to genome data, the project expects to be able to quantify the importance of these different evolutionary mechanisms. The project will strengthen collaborative links between researchers in stochastic modelling and molecular evolutionary biology.Read moreRead less
Outflows, Jets and Plumes. This project studies how fluid flows out from a small concentrated object into a second surrounding fluid. New solution methods will be provided, and new results about how these fluid flows evolve will be obtained. These are important problems with significance in modelling underwater explosions. They are also important in astrophysics, and will help explain the shapes of outflows from some stars or galaxies. The outcomes of the project will be a deeper mathematical un ....Outflows, Jets and Plumes. This project studies how fluid flows out from a small concentrated object into a second surrounding fluid. New solution methods will be provided, and new results about how these fluid flows evolve will be obtained. These are important problems with significance in modelling underwater explosions. They are also important in astrophysics, and will help explain the shapes of outflows from some stars or galaxies. The outcomes of the project will be a deeper mathematical understanding of which outflow shapes are stable, and under what circumstances they might become unstable. This will provide valuable information about galaxy shapes, and a new suite of computational methods for solving such problems.Read moreRead less
Mathematical and computational analysis of ship wakes. This project aims to develop mathematical and computational tools to compute the energy in a given ship wake and to determine a range of properties of a ship by taking simple measurements of the water height as the ship travels past. The expected outcomes of this project include a suite of algorithms that back-calculate the hull shape and operating conditions of a moving ship given only the surface height data measured at a single point. The ....Mathematical and computational analysis of ship wakes. This project aims to develop mathematical and computational tools to compute the energy in a given ship wake and to determine a range of properties of a ship by taking simple measurements of the water height as the ship travels past. The expected outcomes of this project include a suite of algorithms that back-calculate the hull shape and operating conditions of a moving ship given only the surface height data measured at a single point. These results should have direct implications for measuring damage to coastal zones by ship wakes and for surveillance of shipping channels.Read moreRead less
Household mortgage choice: theoretical and empirical evidence. A house is often the largest component of household assets, and financing its purchase involves choosing a mortgage product from many alternatives. Inefficiencies and incompleteness in mortgage markets have important consequences. This project uncovers theoretical and empirical evidence on why Australians choose particular mortgage products.
Big-Picture Bioethics: policy-making and liberal democracy. We live an era of rapid growth in biotechnology generating new and difficult ethical questions that need to be tackled by bioethicists and politicians. This project goes beyond typical approaches in bioethics to explore the "big picture": how policies are generated in ethically-contentious domains. It is important to examine how the values of different stakeholders are reflected in such processes to ensure that they are in accordance wi ....Big-Picture Bioethics: policy-making and liberal democracy. We live an era of rapid growth in biotechnology generating new and difficult ethical questions that need to be tackled by bioethicists and politicians. This project goes beyond typical approaches in bioethics to explore the "big picture": how policies are generated in ethically-contentious domains. It is important to examine how the values of different stakeholders are reflected in such processes to ensure that they are in accordance with Australia's commitment to fostering a multicultural, pluralistic, democratic society. This project will produce practical recommendations for refining public consultation in healthcare policy-making through an examination of three relevant contentious case studies in Australia with comparison to Canada.Read moreRead less
Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular ....Algebraically informed models of biological sequence evolution. To make sense of the patterns they see in the natural world, biologists across fields as diverse as genetics, epidemiology and biogeography need an accurate picture of evolutionary history. DNA sequences provide an exciting means to establish this picture of the past, but to decode it successfully requires mathematical models of how DNA evolves. Mathematical inconsistencies have been identified with current approaches. In particular, understanding the effect of natural selection in different parts of the tree of life requires models that behave robustly in the face of shifting evolutionary processes. This project aims to use insights from algebraic methods to construct mathematically consistent models of wide biological utility.Read moreRead less
Modelling Food Expenditure, Analysing Nutrient Security, Measuring Hunger and Calculating Purchasing Power Parity: Methodological Advances with Policy Applications. The analysis of consumption changes in selected Asian countries will throw light on Australia's trade potential, especially with one of the fastest growing countries.
More informed debate on the role of trade and aid in reducing hunger and poverty.Following the 2000 Millenium summit and the step up of Australian developmental aid, ....Modelling Food Expenditure, Analysing Nutrient Security, Measuring Hunger and Calculating Purchasing Power Parity: Methodological Advances with Policy Applications. The analysis of consumption changes in selected Asian countries will throw light on Australia's trade potential, especially with one of the fastest growing countries.
More informed debate on the role of trade and aid in reducing hunger and poverty.Following the 2000 Millenium summit and the step up of Australian developmental aid, the subject has returned to the centre stage in policy discussions.
The systematic use of unit value information available elsewhere, but currently lacking in ABS data, will help the latter in improving its HES.
Contribute to "understanding our region and the world"(Key Priority Goal in Research Priority 4 of ARC).
Provide data sets for use in Australian RHD dissertations .
Read moreRead less
Modelling Decision Making Within the Household and Analysing its Welfare Implications:Methodological Advances with Policy Applications. The project examines the behavioural and welfare implications of alternative models of intra household decisions. A framework that integrates the household's earnings and expenditure decisions will be proposed and applied. The project introduces new measures of spousal power in making decisions and examines its impact on household outcomes. A satisfactory eco ....Modelling Decision Making Within the Household and Analysing its Welfare Implications:Methodological Advances with Policy Applications. The project examines the behavioural and welfare implications of alternative models of intra household decisions. A framework that integrates the household's earnings and expenditure decisions will be proposed and applied. The project introduces new measures of spousal power in making decisions and examines its impact on household outcomes. A satisfactory econometric methodology to test the conventional unitary model will be developed and applied. The usefulness of this research is underlined by examining the policy implications in areas that range from taxation in the developed country context to child health, child labour and gender bias in case of developing countries.Read moreRead less