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1 Spatial Modelling of the Terrestrial Environment - Georeferencial

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Characterizing Land Use in Urban Systems via Built-Form Connectivity Models 211<br />

1980s<br />

1970s<br />

1930s<br />

1990s<br />

Schools<br />

1980s<br />

Hospital<br />

complex<br />

1920s–1930s<br />

1970s<br />

1900s<br />

Figure 10.5 2 km × 2 km raster (1 m) land-cover dataset centred on Locksbottom in <strong>the</strong><br />

town <strong>of</strong> Orpington, London Borough <strong>of</strong> Bromley, annotated with examples <strong>of</strong> <strong>the</strong> principal<br />

land-use categories in <strong>the</strong> study area. The data were produced from selected vector features<br />

derived from Ordnance Survey 1:1,250 Land-Line.93+ digital map data c○ Crown Copyright<br />

Ordnance Survey<br />

visualization <strong>of</strong> <strong>the</strong> containment graph for <strong>the</strong> data presented in Figure 10.5, generated<br />

using <strong>the</strong> Vgraph s<strong>of</strong>tware incorporated in SAMS. It is clear from this that <strong>the</strong>re is a<br />

pronounced structure to <strong>the</strong> containment graph, such that distinct, localized subgraphs 2 can<br />

be visually distinguished. These correspond to Kruger’s built-form constellations (Kruger,<br />

1979a).<br />

2 Strictly speaking, a graph Ḡ = ( ¯ N, ¯R) is a subgraph <strong>of</strong> <strong>the</strong> graph G = (N, R) iff ¯N ⊆ N and ¯R ⊆ R (Piff, 1992). In <strong>the</strong><br />

context <strong>of</strong> <strong>the</strong> current discussion, however, a subgraph is defined more loosely as a collection <strong>of</strong> nodes and edges that form a<br />

distinct, localized, spatial pattern within a larger graph.

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