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102 S. Siedentop and S. Fina
Annex 1. (Continued)
k = Number of analysis lines, north-south
mi = Number of segments in an analysis line
Definitions Analysis lines: straight lines dissecting each analysis cell in
regular intervals
Urban areas: CORINE 2000 polygons with CLC code ,200,
except mining (code131)
References Schweppe-Kraft (2007), Ackermann and
Schweiger (2008)
Indicator 5 Patch density
Description Number of urban area polygons per 100 hectare
Dimension Pattern
Units Polygons per 100 hectare
Value domain 0–21
Base year(s) 2000
Source CORINE land cover
Software ArcGIS 9.2
Implementation (1) Dissolve urban areas in ArcGIS 9.2 to single-polygon entities
(2) Extract centroids for each polygon to avoid double counting of areas that overlap
cell boundaries
(3) Summarise the number of centroid points within each cell
Formula
(4) P Apply formula below
PUA
with PUA: Number of urban area patches
Definitions Patch: single polygon generated from of all adjacent urban area categories in the
CORINE land cover
Urban area: CORINE 2000 polygons with CLC code ,200, except mining
(code131)
References McGarigal and Marks (1995)
Indicator 6 Mean shape index
Description Measures the average compactness of urban areas by comparison of the perimeter
of an urban area to the perimeter of a circle of the same size. If the urban area
is identical to a circle, the resulting value is 1. It becomes increasingly larger
the more the urban area polygon deviates from the circular form
Dimension Pattern
Value domain 1–20
Base year(s) 2000
Source CORINE land cover
Software ArcGIS 9.2
Implementation (1) Calculate the shape index for each polygon using the expression in the numerator
of the formula below
(2) Extract centroids for each polygon to avoid double counting of areas that overlap
cell boundaries
(3) Summarise number of centroids as the denominator for the formula below
(4) Summarise the results of (1) for all centroids in a cell and divide by the
Formula
results of (3)
p
Pn j¼1
PUAij 2
TNUAi
ffiffiffiffiffiffiffiffiffiffiffiffiffi
AUAij
with
PUAij = Perimeter of urban area polygon ij
AUAij = Area of urban area polygon ij
TNUA i = Total number of urban area polygons
Definitions Urban area: CORINE 2000 polygons with CLC code ,200, except mining (code131)
References McGarigal and Marks (1995)
(Continued )