Geography Reference
In-Depth Information
1.0
BW = 5
BW = 10
BW = 15
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0
10
20
30
40
50
Distance
Figure 8.1
Gaussian weighting scheme: bandwidths of 5, 10, and 15 units.
Table 8.1
Observations (
j
), distance from observation 1 (
d
ij
), weights (
w
ij
)
and weights multiplied by values (
z
j
w
ij
)
t
=
5
t
=
10
t
=
15
j
d
ij
z
j
w
ij
z
j
w
ij
w
ij
z
j
w
ij
w
ij
z
j
w
ij
1
0.000
9
1.000
9.000
1.000
9.000
1.000
9.000
2
4.404
14
0.679
9.499
0.908
12.706
0.958
13.409
3
9.699
43
0.152
6.553
0.625
26.867
0.811
34.889
4
10.408
12
0.115
1.375
0.582
6.981
0.786
9.433
5
10.871
34
0.094
3.198
0.554
18.829
0.769
26.147
6
12.958
26
0.035
0.905
0.432
11.230
0.689
17.903
7
13.959
24
0.020
0.487
0.377
9.059
0.649
15.565
8
14.066
33
0.019
0.631
0.372
12.271
0.644
21.260
9
15.506
34
0.008
0.277
0.301
10.219
0.586
19.927
10
17.256
10
0.003
0.026
0.226
2.256
0.516
5.160
11
17.606
8
0.002
0.016
0.212
1.698
0.502
4.017
12
18.018
13
0.002
0.020
0.197
2.564
0.486
6.319
13
18.025
11
0.002
0.017
0.197
2.167
0.486
5.344
14
18.285
24
0.001
0.030
0.188
4.510
0.476
11.416
15
19.253
9
0.001
0.005
0.157
1.410
0.439
3.949
16
21.335
15
0.000
0.002
0.103
1.541
0.364
5.455
17
23.845
14
0.000
0.000
0.058
0.816
0.283
3.957
18
23.988
34
0.000
0.000
0.056
1.914
0.278
9.465
19
24.464
3
0.000
0.000
0.050
0.150
0.264
0.793
20
24.522
11
0.000
0.000
0.049
0.544
0.263
2.891
Sum
381
2.132
32.042
6.643
136.733
11.248
226.300
Mean
19.050
15.032
20.582
20.119
Weights are obtained using the Gaussian weighting scheme with a bandwidth (
t
) of 5, 10, and 15 units.
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