Network Effects in Schelling's Model of Segregation: New Evidence from Agent-Based Simulation

According to two recent studies, Thomas Schelling's model of segregation is only weakly affected by the underlying spatial structure whatever its complexity. Such a conclusion is important from an urban planning perspective as it suggests that only a very restricted range of possible actions, if any, would be able to contribute to limiting social segregation, unless individual preferences are significantly modified. My own simulations show that, using appropriate graph-based spatial structures, one can reveal significant spatial effects and thus provide alternative planning insights. Cliques in networks indeed play a significant role, reinforcing segregation effects in Schelling's model. Introducing a small amount of noise into the model permits us to reveal this effect more precisely, without modifying the global behavior of the initial model. Furthermore, I show how a logistic model describes in a concise but precise way this global behavior at an aggregated level.

[1]  Pierre Frankhauser,et al.  Fractal Geometry for Measuring and Modelling Urban Patterns , 2008 .

[2]  William A. V. Clark,et al.  Understanding the social context of the Schelling segregation model , 2008, Proceedings of the National Academy of Sciences.

[3]  Alyson Wilson,et al.  Asymptotic Results for Configuration Model Random Graphs with Arbitrary Degree Distributions , 2010 .

[4]  Mark Pollicott,et al.  The Dynamics of Schelling-Type Segregation Models and a Nonlinear Graph Laplacian Variational Problem , 2001, Adv. Appl. Math..

[5]  Matteo Marsili,et al.  LETTER: Statistical physics of the Schelling model of segregation , 2007 .

[6]  M. Batty The Size, Scale, and Shape of Cities , 2008, Science.

[7]  D. Stauffer,et al.  Ising, Schelling and self-organising segregation , 2007, physics/0701051.

[8]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[9]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[10]  B. Jiang A topological pattern of urban street networks: Universality and peculiarity , 2007, physics/0703223.

[11]  Shlomo Havlin,et al.  Origins of fractality in the growth of complex networks , 2005, cond-mat/0507216.

[12]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  M. Keeling,et al.  The effects of local spatial structure on epidemiological invasions , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[14]  Giorgio Fagiolo,et al.  Segregation in Networks , 2007 .

[15]  A. Kirman,et al.  A physical analogue of the Schelling model , 2006, Proceedings of the National Academy of Sciences.

[16]  Junfu Zhang,et al.  A DYNAMIC MODEL OF RESIDENTIAL SEGREGATION , 2004 .

[17]  Anders Johansson,et al.  The Dynamics of Complex Urban Systems , 2008 .

[18]  T. Schelling Micromotives and Macrobehavior , 1978 .

[19]  T. Schelling Models of Segregation , 1969 .

[20]  Arnaud Banos,et al.  Integrating morphology in urban simulation through reticular automata modelling Ch. 7 , 2009 .

[21]  Jean-Pierre Nadal,et al.  Phase diagram of a Schelling segregation model , 2009, 0903.4694.

[22]  Alexander Laurie,et al.  Role of 'Vision' in Neighbourhood Racial Segregation: A Variant of the Schelling Segregation Model , 2003 .

[23]  Nicolaas J. Vriend,et al.  Schelling's Spatial Proximity Model of Segregation Revisited , 2003 .

[24]  David Dietrich,et al.  Effects of City Size, Shape, and Form, and Neighborhood Size and Shape in Agent-Based Models of Residential Segregation: Are Schelling-Style Preference Effects Robust? , 2009 .