Geoscience Reference
In-Depth Information
Fig. 6.1
Pdf of a mixture of 50 bivariate gaussians
A model like (
6.16
), or in general (
6.17
), may be rather promising when the only
information provided for the region is just a set
u
1
;:::;
u
r
of points, aggregating
the actual coordinates of affected individuals around, and then a
kernel density
estimation
process (Bowman and Foster
1993
; Wand and Jones
1993
,
1995
)is
done. For instance, Fig.
6.1
represents the probability density function (pdf) of the
form (
6.16
) with 50 knots.
6.2.2
Facility-Facility Interactions
The facility-facility interactions may be defined similarly. As in (
6.1
), the effect
caused by facility at x
i
on facility at x
j
is measured by the scalar c
ij
.x
i
;x
j
/;
c
ij
.x
i
;x
j
/
D
'
ij
.
k
x
i
x
j
k
/
(6.18)
for some non-increasing function '
ij
: All pairwise facility-facility effects are
aggregated into one single facility-facility interactions measure C
F
.
x
/; which,
similarlyto(
6.8
), is assumed to take the form
C
F
.
x
/
D
F
.c
ij
.x
i
;x
j
//
i¤j
