Table 4. Results of the adjustment of the logistic regression using the 500-m random growth model according to variable blocks.

  

Model parameters
Model† AIC‡ R²§ Variable β(i) Standard error Wald P
(A) Distance variables only
m1d 595.7 0.1729 Distance from urban road network –0.0030 0.0006 28.29 <0.00001
Distance from urban perimeter –0.0005 0.0001 16.99 0.00004
Soil type –0.1790 0.0514 12.13 0.00050
β0 1.6829 0.2464 46.63 <0.00001
 
(B) Neighborhood variables only, with fixed scale
m2e5 571.9 0.2300 Density of urban road network at 150 m 7.9491 1.5460 26.44 <0.00001
Density of urban area at 150 m 11.6128 3.0429 14.56 0.00014
Soil type –0.1776 0.0537 10.93 0.00095
β0 –0.0091 0.2020 0.00 0.96412
m3e10 570.6 0.2329 Density of urban road network at 300 m 13.5780 2.4692 30.24 <0.00001
Density of urban area at 300 m 5.9422 1.4281 17.31 0.00003
Soil type –0.1856 0.0539 11.86 0.00057
β0 –0.3294 0.2202 2.24 0.13479
m4e20 614.8 0.1250 Density of urban road network at 600 m 10.5500 4.3290 5.94 0.01481
Density of urban area at 600 m 2.3884 0.9157 6.80 0.00910
Soil type –0.1994 0.0512 15.13 0.00010
β0 –0.1183 0.2511 0.22 0.63773
m5e30 615.6 0.1230 Density of urban road network at 900 m 16.8090 5.2836 10.12 0.00147
Density of upper middle-class neighborhoods at 900 m 11.5866 5.6784 4.16 0.04130
Soil type –0.2080 0.0510 16.62 0.00005
β0 –0.2930 0.3075 0.91 0.34070
m6e40 599.4 0.1638 Density of urban road network at 1200 m 19.1889 6.6552 8.31 0.00394
Density of upper middle-class neighborhoods at 1200 m 16.1304 6.8802 5.50 0.01905
Soil type –0.2014 0.0520 15.00 0.00011
β0 –0.4766 0.3546 1.81 0.17897
 
(C) Distance variables and neighborhood variables, with fixed scale
m7de05 562.9 0.2691 Density of urban road network at 150 m 8.6128 1.6024 28.89 <0.00001
Density of urban area at 150 m 10.1741 2.9501 11.89 0.00056
Distance from access roads –0.0004 0.0001 13.01 0.00031
Distance from urban roads –0.0002 0.0001 4.66 0.03083
Soil type –0.1825 0.0544 11.26 0.00079
β0 0.6118 0.2731 5.02 0.02504
m8de10 565.9 0.2577 Density of urban road network at 300 m 14.5090 2.5187 33.18 <0.00001
Density of urban area at 300 m 5.4364 1.4090 14.89 0.00011
Distance from access roads –0.0003 0.0001 9.96 0.00160
Soil type –0.1772 0.0538 10.86 0.00098
β0 –0.0815 0.2339 0.12 0.72755
m9de20 593.2 0.1838 Density of urban area at 600 m 1.9142 0.9414 4.13 0.04202
Distance from urban road network –0.0028 0.0006 24.18 0.00000
Distance from urban perimeter –0.0003 0.0001 5.48 0.01922
Soil type –0.1745 0.0515 11.47 0.00071
β0 1.3189 0.2983 19.55 0.00001
m10de30 589.3 0.1934 Density of upper middle-class neighborhoods at 900 m 13.9404 5.4899 6.45 0.01111
Distance from urban road network –0.0029 0.0006 26.52 <0.00001
Distance from urban perimeter –0.0004 0.0001 11.27 0.00079
Soil type –0.1798 0.0519 12.03 0.00052
β0 1.5086 0.2529 35.58 <0.00001
m11de40 581.5 0.2216 Density of upper middle-class neighborhoods at 1200 m 25.4850 5.9750 18.19 0.00002
Distance from urban road network –0.0027 0.0006 22.96 <0.00001
Distance from access roads –0.0003 0.0001 6.53 0.01058
Soil type –0.1860 0.0525 12.54 0.00040
β0 1.2578 0.2446 26.44 <0.00001
 
(D) Mixed scales
m12de10/40 545.5 0.3031 Density of urban road network at 300 m 14.8692 2.5883 33.00 <0.00001
Density of urban area at 300 m 4.9017 1.5274 10.30 0.00133
Density of upper middle-class neighborhoods at 1200 m 30.8957 8.2085 14.17 0.00017
Density of industrial area at 1200 m –8.0127 4.0362 3.94 0.04712
Distance from access roads –0.0003 0.0001 9.71 0.00183
Soil type –0.1917 0.0559 11.74 0.00061
β0 0.0134 0.2767 0.00 0.96132

  †Models: mid, models adjusted using distance variables; miej, models adjusted using neighborhood variables by scale; midej, models adjusted using distance and neighborhood variables; midej/k, models adjusted using distance and neighborhood variables with combined scales; i is the model number and j and k are scale identifiers, with j and k = 150, 300, 600, 900, or 1200 m.
‡Akaike information criterion.
§Nagelkerke's R².