Modeling Gentrification: An Agent-Based, Amenities-Driven Approach Public Deposited

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  • February 26, 2019
  • Halev, Avishai
    • Affiliation: College of Arts and Sciences, Department of Mathematics
  • The evolution of urban areas plays a major role in crafting public policy and spurring investment. Gentrification, involving the “transformation of a working-class or vacant area of the central city into middle-class residential or commercial use”, is inherently intertwined with neighborhood ascent and descent. We propose an agent-based model to study the existence and dynamics of gentrification, centered on a two-dimensional lattice with wealth and an inherent amenities interacting via particular feedback processes. Various parameter regimes beget distinct sets of dynamics, including that of wealth hotspots – as consistent with empirical observation. We then derive a continuum model of partial differential equations (PDE) from the agent-based model and analyze the instability regime of the continuum system; the resultant regime agrees with observations of simulation of the discrete model.
Date of publication
Resource type
Rights statement
  • In Copyright
  • Rodriguez, Nancy
  • Bachelor of Science
Academic concentration
  • Mathematics
Honors level
  • Honors
Degree granting institution
  • University of North Carolina at Chapel Hill
Graduation year
  • 2018
  • English

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