Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D3L-D
Session:
Number:D3L-D3
Bayesian Parameter Estimation of Non-stationary Collective Dynamics in Moving Animal Groups
Ken Nishikawa, Wataru Kurebayashi, Hiroya Nakao,
pp.882-885
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Moving animal groups exhibit intriguing collective dynamics. To understand their mechanisms, mathematical models consisting of many interacting selfpropelled particles, called swarm models, have been proposed. Statistical estimation of the parameters of the swarm models from observed data, in particular, from non-stationary data such as those observed when animals change their group formation, is an important issue. In this study, we propose a data assimilation method for estimating time-dependent parameters of the swarm model. We apply our method to the time series data of particle coordinates obtained by numerical simulations of the swarm model, and show that the proposed method can estimate the model parameters reasonably well even under relatively strong observation noise.