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The following paper demonstrates the behavior of the basic model and the dependency of the group formation on the population size.
P. Dittrich, F. Liljeros, A. Soulier,and W. Banzhaf (2000)
Spontaneous Group Formation in the Seceder Model
Phys. Rev. Lett. 84, 3205-8
New phenomena appear if the genotype space is bounded. The following paper demonstrates these phenomena for two variants of a boundary: (1) cyclic space (periodic boundary condition) and (2) open space where the death rate increases with distance to the center of the space.
P. Dittrich (2000)
The Seceder Effect in Bounded Space
InterJournal Complex Systems, 363.
(Presented at: International Conference on Complex Systems (ICCS 2000), May 31-26, 2000, Nashua, NH)
The investigation of the (effective) fitness landscape revealed an on the first view counterintuitive phenomena: The individuals of the basic seceder model are always located in the "worst" regions of the fitness landscape where the replication rate is relatively low. (Fitness is measured as reproductive success.)
P. Dittrich and W. Banzhaf (2001)
Survival of the Unfittest? - The Seceder Model and its Fitness Landscape
in: J. Kelemen and P. Sosik (Eds.), Advances in Artificial Life (Proc. 6th European Conference on Artificial Life, Prague, September 10-14, 2001). Springer, Berlin, pp. 100-109.
The seceder model can be simulated very nicely by using Mathcad:
F. Liljeros (2002) The Seceder Model Mathcad Advisor Newslatter, 4/3/2002
The following work explores a generalized, stochastic seceder model. with variable size polling groups and higher-dimensional opinion vectors, revealing its essential modes of self-organized segregation. It pins down the upper critical size of the sampling group and analytically uncovers a self-similar hierarchy of dynamically stable, multiple-branch fixed points.
A. Soulier and T. Halpin-Healy (2003)
The dynamics of multidimensional secession: Fixed points and ideological condensation
Phys. Rev. Lett. 90(25): art. no. 258103