A Markov model of urban evolution: Neighbourhood change as a complex process

PLoS One. 2021 Jan 15;16(1):e0245357. doi: 10.1371/journal.pone.0245357. eCollection 2021.

Abstract

This paper seeks to advance neighbourhood change research and complexity theories of cities by developing and exploring a Markov model of socio-spatial neighbourhood evolution in Toronto, Canada. First, we classify Toronto neighbourhoods into distinct groups using established geodemographic segmentation techniques, a relatively novel application in this geographic setting. Extending previous studies, we pursue a hierarchical approach to classifying neighbourhoods that situates many neighbourhood types within the city's broader structure. Our hierarchical approach is able to incorporate a richer set of types than most past research and allows us to study how neighbourhoods' positions within this hierarchy shape their trajectories of change. Second, we use Markov models to identify generative processes that produce patterns of change in the city's distribution of neighbourhood types. Moreover, we add a spatial component to the Markov process to uncover the extent to which change in one type of neighbourhood depends on the character of nearby neighbourhoods. In contrast to the few studies that have explored Markov models in this research tradition, we validate the model's predictive power. Third, we demonstrate how to use such models in theoretical scenarios considering the impact on the city's predicted evolutionary trajectory when existing probabilities of neighbourhood transitions or distributions of neighbourhood types would hypothetically change. Markov models of transition patterns prove to be highly accurate in predicting the final distribution of neighbourhood types. Counterfactual scenarios empirically demonstrate urban complexity: small initial changes reverberate throughout the system, and unfold differently depending on their initial geographic distribution. These scenarios show the value of complexity as a framework for interpreting data and guiding scenario-based planning exercises.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Canada
  • Cities
  • City Planning*
  • Environment Design
  • Humans
  • Markov Chains*
  • Residence Characteristics*
  • Socioeconomic Factors

Grants and funding

DS is supported by a Connaught Global Challenge Award, and the School of Cities Urban Challenge Fund. THS is supported by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - (Grant - Finance Code 001), https://www.capes.gov.br. THS is supported by São Paulo Research Foundation - FAPESP - GoodWeb (Grant #2018/23011-1), http://www.fapesp.br. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.