Welcome to theSeceder Model

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, 32058
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 3126, 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 1014, 2001). Springer, Berlin, pp. 100109.
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 higherdimensional opinion vectors, revealing its essential modes of selforganized segregation. It pins down the upper critical size of the sampling group and analytically uncovers a selfsimilar hierarchy of dynamically stable, multiplebranch fixed points.
A. Soulier and T. HalpinHealy (2003)
The dynamics of multidimensional secession: Fixed points and
ideological condensation
Phys. Rev. Lett. 90(25): art. no. 258103