Name
Title | ||
|---|---|---|
Application of quorum response and information entropy to animal collective motion modeling. |
Abstract | ||
|---|---|---|
Quorum response is a type of social interaction in which an individual's chance of choosing an option is a nonlinear function of the number of other individuals already committing to it. This interaction has been widely used to characterize collective decision-making in animal groups. Here, we first implement it in 1D and 2D models of collective animal movement, and find that the resulting group motion shows the characteristic behaviors which were observed in previous experimental and modeling studies. Further, the analytic form of quorum response renders us an opportunity to propose a mean field theory in 1D with globally interacting particles, so we can estimate the average time period between changes in the group direction ( mean switching time). We find that the theoretical results provide an upper bound to the simulation results when the interaction radius grows from local to global. Information entropy, a concept widely used to quantify the uncertainty of a random variable, is introduced here as a new order parameter to study the evolution of systems of two cases in 2D models. The explicitly formulated probability of a particle's dynamic state in the framework of quorum response makes information entropy directly computable. We find that, besides the global order, information entropy can also capture the structural features of local order of the system which previous order parameters such as alignment cannot. (C) 2016 Wiley Periodicals, Inc. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1002/cplx.21772 | COMPLEXITY |
Keywords | Field | DocType |
collective animal motion,quorum response,information entropy,mean switching time | Random variable,Collective motion,Nonlinear system,Upper and lower bounds,Binary entropy function,Mean field theory,Artificial intelligence,Entropy (information theory),Mathematics,Machine learning | Journal |
Volume | Issue | ISSN |
21.0 | S1 | 1076-2787 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feng Hu | 1 | 2 | 3.05 |
| Carlos J. Escudero | 2 | 111 | 14.03 |
| Jérôme Buhl | 3 | 17 | 2.92 |
| Stephen J. Simpson | 4 | 2 | 1.40 |