Environmental Engineering Reference
In-Depth Information
Area-weighted mean patch
fractal dimension
AWMFD
The patch fractal dimension weighted by relative patch area:
AWMPED ¼ P
!
25 P ij
ln a ij
A
1 P
2ln 0
:
m
n
a ij
i
¼
j
¼
1
where P ij and a ij are the perimeter and area of patch ij, respectively, m is the
number of patch types, n is the total number of patches of type i, and A is the
total area of the landscape (unitless).
Contagion
CONT
An information theory-based index that measures the extent to which patches
are spatially aggregated in the landscape [ 57 ]:
$
% 100
p ij ln p ij =
þ P
m
P
m
CONT
¼
1
2ln
ð
m
Þ
ðÞ
1
1
where p ij is the probability that two randomly chosen adjacent pixels belong to
patch type i and j, m is the total number of patch types in the landscape
(unitless).
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