• Corpus ID: 247158914

A dominance tree approach to systems of cities

  title={A dominance tree approach to systems of cities},
  author={Thomas Louail and Marc Barthelemy},
Characterizing the spatial organization of urban systems is a challenge which points to the more general problem of describing marked point processes in spatial statistics. We propose a nonparametric method that goes beyond standard tools of point pattern analysis and which is based on a mapping between the points and a ‘dominance tree’, constructed from a recursive analysis of their Voronoi tessellation. Using toy models, we show that the height of a node in this tree encodes both its mark and… 

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A Theory of Location for Cities
  • E. Ullman
  • Economics
    American Journal of Sociology
  • 1941
Many studies have shown that cities are not scattered over the earth illogically, but a general theory of location has been lacking. The orderly spacing of towns as service centers forms a basis for