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
i¼
1
j¼
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).