Spatial Structure in Population Models: Bridging Theory and Data
20–24 April 2020 postponed due to Covid-19
Venue: University of Melbourne, Creswick campus; Water Street, Creswick, Victoria, 3363, Australia
Spatial moment dynamics are a way of modelling population dynamics in a way that incorporates information about spatial structure, which mean-field models typically neglect. Information about spatial structure can be important as it is the main determinant of the local environment encountered by a typical individual. Spatial moment dynamic equations are typically a system of integro-partial differential equations for the first moment (average density) and second moment (pair density), formed by a moment closure approximation to obtain a closed system at the level of the second moment. This is a deterministic approximation of a stochastic individual-based model for the number and locations of all individuals within the population.
This workshop will bring together new advances in the theory of spatial moment dynamics with new statistical methods for fitting them to empirical data. The aim of the program is to explore new spatial moment dynamics theory and parameter inference techniques and develop new algorithms for fitting spatial moment dynamic models to empirical data. The spatial moment dynamics theory will focus on the application to spatially heterogeneous populations, while the parameter inference theme will focus on likelihood-based methods. Progress in these two areas combined will synergistically increase the impact of mathematical and statistical research in spatial moment dynamics, by expanding the range of scenarios in which they are applicable and by allowing them to be used in conjunction with empirical data.
For similar MATRI✗ workshops, consult this announcement.
MATRI✗ Wine and Cheese Afternoon: 21 April 2020.
On the first Tuesday of each program, MATRI✗ provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.
- Matthew Simpson (Queensland Univ. Tech.)
- Michael Plank (Univ. Canterbury, NZ)
- Rachelle Binny (Manaaki Whenua, NZ)
- Maria Bruna (Univ. Cambridge, UK)