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Analysis of urban and regional systems 2000-2001

Course outline

1. Basic elements
  • Principles of systems. Main variables: stocks, flows. Attractors. Sensitivity to crucial parameters.
  • Logistic growth. Lotka-Volterra model.
  • Continuous and discrete spatio-temporal systems. Coupled map lattices, deterministic and probabilist cellular automata.
  • Basic statistic techniques: mean, variance, standard deviation, Gaussian distribution, normalization of a variable, linear regression.
  • Spatial analysis. Distance metric. Distribution of point, lines and polygons on a surface. Indexes of spatial concentration and dispersion Shift-share analysis. Spatial correlation. Potential surfaces, introduction to gravitational models.
  • Graphs, incidence matrix. Hierarchical graphs, paths, circuits. Topological measures on a graph. Methods for searching minimum path.
  • Shape analysis. Indexes related to the shape of an object. Fractals: definitions, methods for calculating fractal dimension. Perimeter-area relationship
  • 2. Regional systems
  • Delimitation of regional systems: fluxes analysis, factor analysis, cluster analysis
  • Structure of urban centers. Rank-size rule. Central place theory
  • Utilization of the Lotka-Volterra model for the analisys of the dynamic of a system of urban centers
  • Allen-Sanglier model
  • Dynamic of the transportation networks
  • Spatial diffusion
  • 3. Urban systems
  • Demand oriented models. Economic base theory. Supply oriented models. Dynamic models.
  • Location and density of activities in an urban center.
  • Commuting fluxes. Gravitational models
  • Analisys of roads network. Space syntax
  • Assignment of commuting fluxes to the road network
  • Interaction between land-use and transportation. Lowry, Garin and Ecenique models
  • Continuous and discrete spatial dynamic models applied to urban spatial dynamic.
  • Modelisation of cars traffic by using cellular automata
  • Urban shape analysis. Urban fractal dimension.
  • Urban performance indicators
  • 4. Planning and optimization
  • Methods for optimum searching in urban planning. Relations with the dynamic of complex urban systems