Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design. This research will provide methods for cost-efficient spatio-temporal data collection and analysis, with increased capacity for better decision-making about managing Australia’s natural resources. Through the Linkage partners’ networks, these benefits will be disseminated throughout regional bodies, government agencies and research groups across and outside Australia. The ....Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design. This research will provide methods for cost-efficient spatio-temporal data collection and analysis, with increased capacity for better decision-making about managing Australia’s natural resources. Through the Linkage partners’ networks, these benefits will be disseminated throughout regional bodies, government agencies and research groups across and outside Australia. The statistical techniques derived in this project will enhance Australia’s capability in the national priority area of mathematical sciences, and will contribute to knowledge in a wide range of disciplines including natural resources, medicine and genetics. Read moreRead less
Statistical estimation and approximation of anomalous diffusion. This project investigates diffusion processes with long memory, heavy-tailed distributions and higher-order information. Each of these characteristics has been a subject of extensive current research. These processes arise in important applications with significant social/economic benefits such as heat conduction and fluid flow in porous media, propagation of seismic waves, transport of drug molecules in living tissues. Built on ou ....Statistical estimation and approximation of anomalous diffusion. This project investigates diffusion processes with long memory, heavy-tailed distributions and higher-order information. Each of these characteristics has been a subject of extensive current research. These processes arise in important applications with significant social/economic benefits such as heat conduction and fluid flow in porous media, propagation of seismic waves, transport of drug molecules in living tissues. Built on our recent fundamental developments of fractional generalised random fields and fractional diffusion equations, this project tackles the key problems of statistical estimation, approximation and prediction of diffusion processes with all the above characteristics in a unified framework not provided by other approaches.Read moreRead less
Filled function methods for global optimization and their applications. Many real problems in science, commerce and industry are restricted in the way that they are modelled and solved by the known inability to deal with global optimization problems. The development of computational efficient global optimization methods in this project will allow new more complete approaches to these problems, especially in new areas of bio-informatics, data mining, economic modelling, supply chain management, ....Filled function methods for global optimization and their applications. Many real problems in science, commerce and industry are restricted in the way that they are modelled and solved by the known inability to deal with global optimization problems. The development of computational efficient global optimization methods in this project will allow new more complete approaches to these problems, especially in new areas of bio-informatics, data mining, economic modelling, supply chain management, air traffic management, biochemical engineering and automotive industry, consequently helping Australia advance in these various areas. It will also enhance the understanding of global optimization from both theoretical and numerical viewpoints, particularly boosting optimization research in Australia.Read moreRead less
WaterLog - A mathematical model to implement recommendations of The Wentworth Group. In 2003, The Wentworth Group of Concerned Scientists released their 'Blueprint for a national water plan' with the primary objective to 'protect river health and the rights of all Australians to clean usable water'. Currently, there are significant water restrictions in all the Australian mainland capital cities. In January 2007, the Prime Minister of Australia, announced a bold plan to rescue the Murray-Darling ....WaterLog - A mathematical model to implement recommendations of The Wentworth Group. In 2003, The Wentworth Group of Concerned Scientists released their 'Blueprint for a national water plan' with the primary objective to 'protect river health and the rights of all Australians to clean usable water'. Currently, there are significant water restrictions in all the Australian mainland capital cities. In January 2007, the Prime Minister of Australia, announced a bold plan to rescue the Murray-Darling Basin. The plan incorporates political management changes, and an investment of $10Bn. Now is the time to develop improved techniques for management of water storage systems. This project will develop the fundamental mathematical principles required for this improved management.Read moreRead less
What is the spatial and environmental distribution of phylogenetic diversity in the Australian biota? Almost nothing is known about the geographic distribution of phylogenetic relationships across Australia at fine resolutions of the order of tens of kilometres. The aim of this research is to map the spatial patterns of phylogenetic diversity in the Australian biota and identify possible environmental controls over them. We will analyse five disparate groups at a spatial resolution that is ord ....What is the spatial and environmental distribution of phylogenetic diversity in the Australian biota? Almost nothing is known about the geographic distribution of phylogenetic relationships across Australia at fine resolutions of the order of tens of kilometres. The aim of this research is to map the spatial patterns of phylogenetic diversity in the Australian biota and identify possible environmental controls over them. We will analyse five disparate groups at a spatial resolution that is orders of magnitude finer than previous research, analysing their relationship with possible environmental controls using advanced spatial analysis methods. The knowledge we will generate about the spatial distribution of these relationships is essential to understand and conserve Australia's unique biodiversity.Read moreRead less
Statistical Analysis of Some Partially Observed Processes Arising in Ecological Research. The expected outcomes of this project are the provision of statistical methods to draw important information from samples from wild animal populations and the training of researchers to conduct high quality statistical ecological research. The national benefit lies on the availability of the developed techniques and researchers from this project to the society for finding better ways of managing Australia's ....Statistical Analysis of Some Partially Observed Processes Arising in Ecological Research. The expected outcomes of this project are the provision of statistical methods to draw important information from samples from wild animal populations and the training of researchers to conduct high quality statistical ecological research. The national benefit lies on the availability of the developed techniques and researchers from this project to the society for finding better ways of managing Australia's ecological systems and making Australia environmentally sustainable.Read moreRead less
Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems. Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will devel ....Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems. Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will develop methods to better understand the relationships between the key parameters and the solutions and will apply the new insights to practical problems such as the minimization of fuel consumption in trains, optimal resource management in water supply systems and the evolution of physical systems.Read moreRead less
The propagation of gravity currents over complex terrain. Dust storms, volcanic eruptions, rivers rushing sediment into lakes and seas, and spillages of toxic liquids and gases, are all examples of environmental problems that can occur, and when they do, they threaten both wild life and human communities. This project involves research that will provide quantitative understanding of key processes in these problems from which reliable software will be built to predict their consequences. The soft ....The propagation of gravity currents over complex terrain. Dust storms, volcanic eruptions, rivers rushing sediment into lakes and seas, and spillages of toxic liquids and gases, are all examples of environmental problems that can occur, and when they do, they threaten both wild life and human communities. This project involves research that will provide quantitative understanding of key processes in these problems from which reliable software will be built to predict their consequences. The software will produce an animation of dust containing fluids moving over a landscape of arbitrary complexity.Read moreRead less
A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Aus ....A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Australian universities and a leading European Research Institute. It will provide employment and vital training for two postdoctoral Research fellows and research projects for three postgraduate students and two honours students.Read moreRead less
Discovery Indigenous Researchers Development - Grant ID: DI0453648
Funder
Australian Research Council
Funding Amount
$144,184.00
Summary
Modelling of coupled heat and water flow through layered soils with an extension to heat flow through granulated soils. The main aim of this project is to develop a mathematical model to simulate coupled heat and water flow through layered soils. The coupling of the two processes will allow us to examine the interaction between heat and water flow. The project also aims to extend the heat component of the flow model to granulated heterogeneous soils by developing a model that encapsulates heat e ....Modelling of coupled heat and water flow through layered soils with an extension to heat flow through granulated soils. The main aim of this project is to develop a mathematical model to simulate coupled heat and water flow through layered soils. The coupling of the two processes will allow us to examine the interaction between heat and water flow. The project also aims to extend the heat component of the flow model to granulated heterogeneous soils by developing a model that encapsulates heat effects at the microscopic and macroscopic level. The model will be applied to two problems 1) hydraulic barriers in cover liner designs for landfills and 2) assessing the ability of heat sensors to measure various soil properties under field conditions.Read moreRead less