Morphology Analysis
On s’interesse à la classification, en fonction des caractéristiques environnementales, de 25 sites de terrains pris
parmi les 75 sites initialement considérés par une étude morphologique. Les caractéristiques environnementales
sont spécifiées selon les variables : Altitude, Valley.depth, Terrain.ruggedness.index, Wetness.index, Dif-
fuse.insolation, P20, Drift, Block.size.median, Latitude, Wind.effect et Convergence.index. Les cinq premières
variables caractérisent l’altitude du terrain, les trois suivantes caractérisent le sol alors que les dernières sont
reliées à la topographie.
Présentation de la Base de données
41.9 15.5 11.9 3.9 4.01 7.26 6.33 11.2 8.6 10.3 ...
306 136 112 20 23 189 74 30 87 81 ...
33.5 24.9 10.9 23.2 10.9 ...
75 obs. of 11 variables:
'data.frame':
: num
$ Block.size.median
: int
$ Altitude
: num
$ p20
: Factor w/ 6 levels "Beach","Diamict",..: 2 2 1 2 4 4 1 1 2 2 ...
$ Drift
: num
$ Wetness.index
: num
$ Latitude
: num
$ Valley.depth
: num
$ Diffuse.insolation
: num
$ Wind.effect
$ Convergence.index
: num
$ Terrain.Ruggedness.Index: num
-13.22 -6.76 -6.56 -10.53 -10.93 ...
65.4 65.7 66 66 66 ...
1.89 1.52 27.16 31.36 23.48 ...
0.429 0.412 0.415 0.409 0.409 ...
0.888 0.876 0.874 0.937 0.789 ...
15.96 1.59 1.59 15.96 -1.76 ...
2.31 5.48 5.48 3.03 2.97 ...
Résumé statistique des données
Block.size.median
Min.
: 1.30
1st Qu.: 5.95
Median : 7.40
:12.13
Mean
3rd Qu.:10.60
Max.
:68.90
Wetness.index
:-16.160
Min.
1st Qu.:-10.522
Median : -8.569
Mean
: -8.792
3rd Qu.: -6.576
Max.
: -3.971
##
Min.
:0.6524
1st Qu.:0.7643
Median :0.8570
Mean
:0.8275
3rd Qu.:0.8945
:0.9555
Max.
Wind.effect
p20
Drift
Altitude
Min.
: 15.0
1st Qu.: 70.0
Median :174.0
:278.1
Mean
3rd Qu.:422.5
:955.0
Max.
Latitude
:65.40
Min.
1st Qu.:65.58
Median :65.79
Mean
:65.77
3rd Qu.:65.98
:66.11
Max.
Min.
: 5.25
1st Qu.:12.96
Median :20.71
:21.22
Mean
3rd Qu.:28.50
:44.39
Max.
Valley.depth
0.9454
:
Min.
1st Qu.: 14.1209
Median : 33.1405
Mean
: 95.8740
3rd Qu.:134.3015
:642.6513
Max.
Beach
:11
Diamict
:47
Kame
: 5
: 5
Landslide
Organic soil: 1
: 6
Terraces
Diffuse.insolation
:0.4083
Min.
1st Qu.:0.4125
Median :0.4205
Mean
:0.4460
3rd Qu.:0.4442
:0.8402
Max.
Convergence.index Terrain.Ruggedness.Index
Publicité
Min.
:-54.106
1st Qu.: -1.600
2.008
Median :
Mean
3.549
:
3rd Qu.: 10.353
: 66.059
Max.
Min.
: 0.000
1st Qu.: 1.113
Median : 3.031
Mean
: 4.207
3rd Qu.: 5.479
:18.428
Max.
1
Analyse en composantes principales
Dim.3
1.675
graph = FALSE)
Dim.6
0.371
3.714
91.247
Dim.5
0.872
8.722
87.534
Dim.1
0.053
1.042
1.573
1.745
0.630
2.507
0.334
0.799
Dim.2
2.115
21.149
51.951
Dim.8
0.249
2.491
97.155
Dim.1
3.080
30.802
30.802
Dim.7
0.342
3.417
94.664
Dim.4
1.011
16.749 10.112
78.812
68.700
Dim.10
Dim.9
0.095
0.189
0.955
1.890
99.045 100.000
##
Call:
PCA(X = geomorphology[1:25, -4], scale.unit = TRUE, ncp = Inf,
##
##
##
Eigenvalues
##
Variance
% of var.
Cumulative % of var.
##
Variance
% of var.
Cumulative % of var.
##
Individuals
##
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
##
1
2
3
4
5
6
7
8
ctr
Dist
0.004
5.930 |
1.411
1.864 |
3.214
2.331 |
3.956
2.710 |
0.515
2.559 |
8.160
4.057 |
0.145
Publicité
1.978 |
2.516 |
0.828
5.359 | -4.544 26.812
0.005
2.022 | -0.062
5.379
2.035
2.839 |
0.398
2.565 |
0.554
0.132
2.606 | -0.319
0.866
2.687 | -0.817
0.404
0.557
1.910 |
2.438
2.057 |
1.370
0.275
1.954 | -0.460
0.069
2.026 | -0.231
2.768
2.967 | -1.460
0.015
0.109
3.737 |
2.776
1.462
2.112 |
1.403
2.756 |
1.039
2.761
3.210 | -1.458
3.410 | -1.456
2.752
5.597 | -5.004 32.515
Dim.3
ctr
cos2
4.416 46.569
0.399 |
1.740
0.098 |
0.854
0.445
0.039 | -0.432
1.551
0.174 |
0.806
0.060
0.296 | -0.158
0.362
0.028 | -0.389
2.424
0.420 | -1.008
2.141
0.947
0.513 |
cos2
0.555 |
0.210 |
0.034 |
0.088 |
0.004 |
0.009 |
0.259 |
0.142 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dim.2
ctr
cos2
3.744 26.512
0.000 |
0.641
0.582
0.313 |
0.400
0.456 | -0.460
2.417
0.415 | -1.130
3.666
0.061 | -1.392
0.880
0.682
0.382 |
3.107
0.029 | -1.282
6.144
0.101 | -1.802
6.775
0.719 | -1.893
0.601
0.001 | -0.564
1.203
0.514 | -0.798
5.897
1.766
0.047 |
1.508
0.893
0.015 |
1.808
0.978
0.092 |
0.038
0.085 | -0.142
2.217
Publicité
0.444 | -1.083
1.701
0.055 | -0.948
4.291
0.013 | -1.506
5.715
0.242 | -1.738
2.824 15.078
0.001 |
0.561
0.479 | -0.545
0.644
0.584
0.142 |
4.130
1.478
0.206 |
3.865
1.429
0.182 |
0.199
0.324
0.799 |
2
1.637
2.782
2.195
0.342
2.992
1.960
0.729
0.091
2.889
0.038
1.704
3.806
0.531
3.424
8.787
9.523
1.275
0.024 |
0.285 |
0.114 |
0.022 |
0.185 |
0.114 |
0.084 |
0.009 |
0.317 |
0.004 |
0.081 |
0.114 |
0.050 |
0.189 |
0.357 |
0.343 |
0.017 |
Dim.2
ctr
cos2
0.552 14.419
0.000 |
0.848 34.015
0.038 |
2.645
0.007 | -0.237
0.126 | -0.125
0.733
0.229 | -0.782 28.942
1.772
0.194
0.516 |
0.138
0.649 | -0.054
2.138
0.213
0.696 |
6.007
0.356
0.591 |
9.191
0.441
0.227 |
cos2
0.305 |
0.719 |
0.056 |
0.016 |
0.612 |
0.037 |
0.003 |
0.045 |
0.127 |
0.194 |
0.828
0.125 |
1.079
0.078 |
0.079 |
0.959
0.474 | -0.378
0.117 | -1.119
0.132 | -0.906
0.553
0.006 |
0.277 |
0.195
0.236 | -1.100
0.126
0.553 |
0.343 |
0.845
0.571 | -1.262
0.067 | -0.472
0.045 | -1.197
0.212 | -1.918
0.176 | -1.997
0.731
0.003 |
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Publicité
##
Variables
ctr
Dim.1
##
0.000
| -0.002
Block.size.median
1.247
| -0.196
Altitude
0.228
| -0.084
p20
4.094
0.355
|
Wetness.index
|
7.435
0.479
Latitude
| -0.718 16.754
Valley.depth
| -0.806 21.072
Diffuse.insolation
0.835 22.612
|
Wind.effect
0.769 19.192
Convergence.index
|
7.367
Terrain.Ruggedness.Index |
0.476
ctr
Dim.3
##
0.668 26.649
Block.size.median
Altitude
1.615
0.659 25.895
p20
-0.590 20.811
Wetness.index
-0.053
Latitude
0.170
-0.473 13.352
Valley.depth
1.561
Diffuse.insolation
2.356
Wind.effect
Convergence.index
0.261
Terrain.Ruggedness.Index -0.350 7.331
0.162
0.199
0.066
-0.164
$Dim.1
$Dim.1$quanti
##
Wind.effect
Convergence.index
Latitude
Terrain.Ruggedness.Index
Valley.depth
Diffuse.insolation
##
##
$Dim.2
correlation p.value
0.00
0.83
0.00
0.77
0.02
0.48
0.02
0.48
0.00
-0.72
0.00
-0.81
3
cos2
0.446 |
0.027 |
0.434 |
0.349 |
0.003 |
0.224 |
0.026 |
0.039 |
0.004 |
0.123 |
correlation p.value
0.00
0.85
0.00
0.55
0.03
0.44
0.00
-0.78
$Dim.2$quanti
##
Altitude
Block.size.median
Terrain.Ruggedness.Index
Latitude
##
##
$Dim.3
$Dim.3$quanti
##
Block.size.median
p20
Valley.depth
Wetness.index
correlation p.value
0.00
0.67
0.00
0.66
0.02
-0.47
0.00
-0.59
Projection du nuages d’individus et du nuage de variables sur le premier plan factoriel
4
010203012345678910DimensionsPercentage of explained variancesScree plot5
−8−6−4−2024−2−101234Individuals factor map (PCA)Dim 1 (30.80%)Dim 2 (21.15%)12345678910111213141516171819202122232425−2−1012−1.0−0.50.00.51.0Variables factor map (PCA)Dim 1 (30.80%)Dim 2 (21.15%)Block.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.IndexBlock.size.medianAltitudep20Wetness.indexLatitudeValley.depthDiffuse.insolationWind.effectConvergence.indexTerrain.Ruggedness.Index