PCA of a distance matrix over distance thresholds
Source:R/pca_multithreshold.R
pca_multithreshold.RdComputes PCA factors of a distance matrix over different distance thresholds to generate spatial predictors for a model fitted with rf_spatial().
Usage
pca_multithreshold(
distance.matrix = NULL,
distance.thresholds = NULL,
max.spatial.predictors = NULL
)Arguments
- distance.matrix
Distance matrix. Default:
NULL- distance.thresholds
Numeric vector with distance thresholds defining neighborhood in the distance matrix, Default:
0- max.spatial.predictors
Integer, maximum number of spatial predictors to generate. Only useful when the distance matrix
xis very large. Default:NULL
Value
A data frame with the PCA factors of the thresholded matrix. The data frame columns are named "spatial_predictor_DISTANCE_COLUMN", where DISTANCE is the given distance threshold, and COLUMN is the column index of the given predictor.
Details
The distance matrix is converted into weights with weights_from_distance_matrix() before computing the PCA. This produces more meaningful spatial predictors than using the distance matrix as is.
Examples
#loading example distance matrix
load(distance_matrix)
#> Error in load(distance_matrix): unused argument (distance_matrix)
#PCA factors of the distance matrix for two reference distances
x <- pca_multithreshold(
distance.matrix = distance_matrix,
distance.thresholds = c(0, 1000)
)
head(x)
#> spatial_predictor_0_1 spatial_predictor_0_2 spatial_predictor_0_3
#> 1 6.5412490 -3.510548 3.2726476
#> 2 -0.6442379 3.680523 0.8800348
#> 3 -2.0963747 -2.058756 -2.8333905
#> 4 3.0600023 3.868316 -3.1601127
#> 5 3.5180107 -3.639294 3.6897010
#> 6 4.9349470 -4.187669 4.2546510
#> spatial_predictor_0_4 spatial_predictor_0_5 spatial_predictor_0_6
#> 1 -4.51128070 1.068166 -0.88542301
#> 2 1.66282148 2.839332 -0.44030971
#> 3 -0.09204521 0.277262 -0.80395050
#> 4 2.51521471 1.556041 -2.35626506
#> 5 -0.89126897 1.046012 0.07682843
#> 6 -2.49573319 2.127176 -1.94376161
#> spatial_predictor_0_7 spatial_predictor_0_8 spatial_predictor_0_9
#> 1 1.84561719 -1.4224262 2.1024954
#> 2 2.52230804 -4.2008090 0.9878908
#> 3 3.15135982 2.4708270 1.8075146
#> 4 -2.08528002 -0.5695373 3.0910832
#> 5 0.08022523 -0.9501949 1.6051918
#> 6 0.36810097 -1.1541598 3.0250504
#> spatial_predictor_0_10 spatial_predictor_0_11 spatial_predictor_0_12
#> 1 -2.2048047 0.08489393 0.01975034
#> 2 1.9964648 0.41150047 -0.40326283
#> 3 0.5119326 -3.33611741 2.30848073
#> 4 -2.8332050 0.48601331 -0.48975524
#> 5 -1.3100400 -0.22172355 0.16822949
#> 6 -3.3774689 -0.12268166 0.26556050
#> spatial_predictor_0_13 spatial_predictor_0_14 spatial_predictor_0_15
#> 1 -1.3533907 2.4560740 0.3389781
#> 2 0.3342004 0.1659733 0.5215901
#> 3 -0.5687886 -0.5762337 0.7367172
#> 4 -5.0345464 -3.5809132 2.4208356
#> 5 0.2674839 -3.3495379 -4.5949774
#> 6 0.4568751 0.6207357 -2.8590760
#> spatial_predictor_0_16 spatial_predictor_0_17 spatial_predictor_0_18
#> 1 -0.06815495 -0.8997021 0.739872152
#> 2 0.52833245 1.8295350 -0.004335192
#> 3 0.51457597 0.8601242 -2.434276457
#> 4 -1.70613335 -1.2896838 -0.134133436
#> 5 1.84692051 0.1200565 0.229918911
#> 6 1.35611527 -0.2188054 0.682714497
#> spatial_predictor_0_19 spatial_predictor_0_20 spatial_predictor_0_21
#> 1 -2.8523943 0.2828850 -0.4636340
#> 2 -0.9050865 0.2727140 -0.1720308
#> 3 -1.0881179 1.5281069 0.2690473
#> 4 2.4748912 -0.6358428 0.3518217
#> 5 -1.5589589 0.2137847 -0.5626545
#> 6 -3.3466658 0.6093051 -0.6588284
#> spatial_predictor_0_22 spatial_predictor_0_23 spatial_predictor_0_24
#> 1 0.2222313 -0.2554465 0.09397339
#> 2 -1.8650306 -0.5917842 -2.72442504
#> 3 -3.3060892 0.5696291 2.62979068
#> 4 -0.2129972 0.8371578 -0.36491462
#> 5 0.2516483 0.8731701 -0.12162376
#> 6 0.4843863 -0.6219552 0.14526435
#> spatial_predictor_0_25 spatial_predictor_0_26 spatial_predictor_0_27
#> 1 -0.130979234 0.05101266 0.00861395
#> 2 2.756727942 -0.38423493 -0.75012754
#> 3 0.003966942 -0.06104927 0.09843048
#> 4 0.576947856 -0.25629515 -0.53274419
#> 5 0.150386299 -0.04890020 -0.08303901
#> 6 -0.115486632 0.02443337 -0.09884074
#> spatial_predictor_0_28 spatial_predictor_0_29 spatial_predictor_0_30
#> 1 0.005067488 0.05527370 -0.08582029
#> 2 -0.360492138 0.25675163 -0.43695097
#> 3 -1.129329085 -0.12983193 -0.31319207
#> 4 -0.762870842 -0.28366138 0.35260013
#> 5 -0.108454115 -0.03294856 0.04374144
#> 6 -0.139468658 0.04450753 -0.08024368
#> spatial_predictor_0_31 spatial_predictor_0_32 spatial_predictor_0_33
#> 1 -0.03100019 1.1533673 -0.9762868
#> 2 -0.04899327 -0.2871824 0.7424244
#> 3 -0.69384374 -1.2490613 -1.6358793
#> 4 0.58481588 -3.2190687 1.0744383
#> 5 0.09556637 -1.8805816 1.5581620
#> 6 0.06408568 0.3544990 -0.4103129
#> spatial_predictor_0_34 spatial_predictor_0_35 spatial_predictor_0_36
#> 1 -0.4299029 0.31674669 0.58756909
#> 2 -0.2442279 1.08729391 3.58681041
#> 3 0.5862158 0.05280711 0.07515343
#> 4 -3.1288663 0.89803260 6.28354714
#> 5 0.4678411 -0.87516094 0.16986673
#> 6 -0.3081117 0.36613756 0.54015575
#> spatial_predictor_0_37 spatial_predictor_0_38 spatial_predictor_0_39
#> 1 0.21932420 0.40024571 -0.06629377
#> 2 0.43332403 1.76299634 -0.25727879
#> 3 0.01472187 -0.12180972 -1.10938916
#> 4 0.61015294 3.22776178 -0.11391381
#> 5 -0.63708861 -0.01831418 -0.01238312
#> 6 -1.28367277 -0.19242684 -0.04825407
#> spatial_predictor_0_40 spatial_predictor_0_41 spatial_predictor_0_42
#> 1 0.21847684 -0.32155620 0.182314141
#> 2 -0.29504724 1.44968170 -1.868794870
#> 3 0.04489114 0.60804632 1.791523680
#> 4 -0.05573750 -2.43080177 2.629013747
#> 5 0.19895583 -0.28328616 0.201157398
#> 6 -0.86645433 -0.02863626 0.003624615
#> spatial_predictor_0_43 spatial_predictor_0_44 spatial_predictor_0_45
#> 1 -2.5472946 -0.3361105 -0.03104557
#> 2 0.4144840 -2.6585964 0.87439977
#> 3 0.1733572 -0.7215686 0.94635530
#> 4 -0.7132357 3.7394744 -1.26541107
#> 5 -4.3991151 -0.6491992 0.05489488
#> 6 5.3379990 1.2923590 -0.23604482
#> spatial_predictor_0_46 spatial_predictor_0_47 spatial_predictor_0_48
#> 1 -0.039016613 0.17917437 -1.21854341
#> 2 -0.009224324 -0.33861579 0.36412970
#> 3 -0.881322806 0.20749843 0.08140173
#> 4 0.008082394 0.26978584 0.59074079
#> 5 0.005403228 -0.07200772 0.75681712
#> 6 0.104027120 -0.26443752 2.88801112
#> spatial_predictor_0_49 spatial_predictor_0_50 spatial_predictor_0_51
#> 1 -0.07638802 0.81223213 -0.008997438
#> 2 -0.14307832 -0.40930794 0.224756502
#> 3 0.00259021 0.01940428 -2.314985369
#> 4 0.68379774 -1.93356417 -0.057779419
#> 5 -0.03278712 0.10030191 0.048374556
#> 6 0.12938349 -1.46321008 0.166633683
#> spatial_predictor_0_52 spatial_predictor_0_53 spatial_predictor_0_54
#> 1 -0.8317627 0.3286473 -0.12564652
#> 2 0.5030475 -0.0162404 0.05521883
#> 3 -0.1499584 -0.2011643 -2.02472508
#> 4 1.2776850 -0.2534865 -0.02972839
#> 5 -0.4912464 -0.6240036 -0.02001981
#> 6 -2.3576081 0.2216785 -0.23757404
#> spatial_predictor_0_55 spatial_predictor_0_56 spatial_predictor_0_57
#> 1 -0.0135413824 0.00597336 0.04821755
#> 2 0.3634123118 -0.42482005 0.05582970
#> 3 -0.3620900188 0.88246032 -0.04572994
#> 4 0.2611973533 0.53901757 0.28161145
#> 5 -0.0423998851 -0.05416775 0.24550510
#> 6 -0.0007909515 0.19883471 -0.81484763
#> spatial_predictor_0_58 spatial_predictor_0_59 spatial_predictor_0_60
#> 1 -0.02925179 -0.05255721 -0.2332668
#> 2 0.29627749 -0.27758511 -0.4225243
#> 3 1.05686813 0.94917734 -1.5961045
#> 4 0.03900912 0.24293074 0.2696000
#> 5 -0.03226713 0.10215243 0.4146850
#> 6 -0.16158009 0.01034322 0.1194169
#> spatial_predictor_0_61 spatial_predictor_0_62 spatial_predictor_0_63
#> 1 0.34641572 -0.50196624 0.10384423
#> 2 -0.34720885 -0.07098915 -1.19446357
#> 3 -1.07007569 -0.03546902 -0.28254000
#> 4 0.07977352 -0.40764789 0.16941644
#> 5 -0.54720581 0.96739301 -0.12803092
#> 6 0.02990081 -1.09630559 0.07350173
#> spatial_predictor_0_64 spatial_predictor_0_65 spatial_predictor_0_66
#> 1 -0.001317515 0.08209079 0.01404503
#> 2 1.797769157 -0.41667182 1.74704525
#> 3 0.300706615 -0.14461448 0.91846667
#> 4 -0.066982977 0.29806580 -1.20790421
#> 5 0.419981071 -0.38897602 -0.31372961
#> 6 -0.028504796 -0.36018982 0.03107108
#> spatial_predictor_0_67 spatial_predictor_0_68 spatial_predictor_0_69
#> 1 -0.378264183 0.11325992 0.04633522
#> 2 0.004757671 0.28373029 0.63214058
#> 3 0.125190377 -0.51138973 -2.21808358
#> 4 0.146725004 -0.37036656 -0.64578574
#> 5 -0.175716329 0.01034927 -0.11278915
#> 6 -0.163715813 0.05699004 0.07077231
#> spatial_predictor_0_70 spatial_predictor_0_71 spatial_predictor_0_72
#> 1 0.9695589860 -0.80953593 0.04282694
#> 2 -0.0530101359 0.21090134 0.28539550
#> 3 -0.0383423690 -0.01767762 -0.81216213
#> 4 -0.8039922887 -0.22458594 -0.07479636
#> 5 2.2521824682 -2.17333165 0.30577330
#> 6 -0.0006726529 -0.97093148 0.09942688
#> spatial_predictor_0_73 spatial_predictor_0_74 spatial_predictor_0_75
#> 1 -0.001802074 -0.007552061 0.22447529
#> 2 -0.040268864 -0.093675683 -0.20873690
#> 3 -2.369906082 1.921701412 0.04915314
#> 4 0.047973233 0.045836363 -0.16511735
#> 5 -0.046289716 -0.044021328 0.12272552
#> 6 -0.048178438 -0.029834849 -0.02822535
#> spatial_predictor_0_76 spatial_predictor_0_77 spatial_predictor_0_78
#> 1 -1.02077217 2.3208263 1.1242936
#> 2 0.65865216 -0.7709016 1.2841613
#> 3 -1.07608458 -0.5892094 0.2555620
#> 4 0.63008320 -1.5080148 -1.2652271
#> 5 0.02710256 -0.1855806 -0.4498778
#> 6 0.32383728 -0.8098673 -0.7390905
#> spatial_predictor_0_79 spatial_predictor_0_80 spatial_predictor_0_81
#> 1 0.10737705 -0.9874505 -0.60791681
#> 2 -0.04045656 -0.8116747 0.08616597
#> 3 -0.06109865 -0.2044590 -0.10637972
#> 4 0.26042542 0.1759545 0.61147068
#> 5 0.22807866 -0.5280622 -0.09390985
#> 6 0.16603348 -0.1168842 0.14361123
#> spatial_predictor_0_82 spatial_predictor_0_83 spatial_predictor_0_84
#> 1 0.17092789 0.13869006 -0.1063306
#> 2 1.62480224 -0.60160144 0.9706033
#> 3 -0.77009060 -0.22783184 0.4642759
#> 4 0.14710259 -0.93582624 0.1928803
#> 5 -0.03081479 -2.45549712 -1.2241813
#> 6 -0.02441120 -0.08506963 0.1665503
#> spatial_predictor_0_85 spatial_predictor_0_86 spatial_predictor_0_87
#> 1 -0.09695653 -1.9713563 -0.69414161
#> 2 0.02135721 -0.1414950 0.16774244
#> 3 -0.30968350 0.0987767 -0.47984236
#> 4 0.54700927 -1.7199470 -0.10324755
#> 5 -0.13159355 0.5873739 0.01653804
#> 6 0.18818987 -2.4229322 -0.61548776
#> spatial_predictor_0_88 spatial_predictor_0_89 spatial_predictor_0_90
#> 1 -0.009476627 0.07620585 -0.008702348
#> 2 0.176235306 -0.05100758 -0.181017936
#> 3 0.312437960 0.09636436 0.538452346
#> 4 -0.050103210 -0.47960828 1.361815048
#> 5 0.030543846 -0.95962175 0.222196337
#> 6 -0.043154016 -0.45470555 0.287871619
#> spatial_predictor_0_91 spatial_predictor_0_92 spatial_predictor_0_93
#> 1 -1.1223476 0.4278930 0.2556971
#> 2 -0.5710842 0.4362525 0.9224351
#> 3 0.1452251 0.3884577 0.3367617
#> 4 -2.6113074 -1.7211080 1.9363814
#> 5 -0.9101882 0.6452189 -1.0244447
#> 6 -0.3770167 -0.8454587 1.0850418
#> spatial_predictor_0_94 spatial_predictor_0_95 spatial_predictor_0_96
#> 1 0.1929911 1.8587205 0.31775625
#> 2 0.1204529 -0.6712237 -0.03600974
#> 3 -0.1213169 -0.1849252 0.88741677
#> 4 0.3644504 -1.9290492 -0.69756367
#> 5 -0.2285070 -0.8167660 -0.14556945
#> 6 0.2334973 0.8737636 0.09632637
#> spatial_predictor_0_97 spatial_predictor_0_98 spatial_predictor_0_99
#> 1 -0.01221190 -0.015497713 0.26137494
#> 2 -0.01082980 0.007841496 -0.17561496
#> 3 -0.03467083 -0.117480717 -0.59934079
#> 4 0.27905287 0.105670608 -0.62710203
#> 5 -0.13553361 -0.027664746 -0.23746046
#> 6 -0.10889002 -0.030272625 0.02138123
#> spatial_predictor_0_100 spatial_predictor_0_101 spatial_predictor_0_102
#> 1 0.2063193 0.9409807389 0.8886756
#> 2 -0.3413617 0.0008267297 0.1131548
#> 3 0.4448935 0.0948203420 1.7960577
#> 4 -1.1760863 0.3172973898 -0.2322664
#> 5 0.9669516 -3.5821046538 -0.6639071
#> 6 0.5896586 -0.8652203446 0.1256962
#> spatial_predictor_0_103 spatial_predictor_0_104 spatial_predictor_0_105
#> 1 -1.8020070 1.6133014 -0.79673008
#> 2 -0.1649059 -0.2750918 -0.31444501
#> 3 1.2765341 0.4064930 0.04266547
#> 4 0.4542619 0.4776875 -1.24942974
#> 5 0.9650513 -0.6919296 1.60137589
#> 6 -0.2898752 0.0196108 0.24438644
#> spatial_predictor_0_106 spatial_predictor_0_107 spatial_predictor_0_108
#> 1 0.14814271 -0.438993137 2.080079538
#> 2 -0.41082672 0.199060378 -0.003021403
#> 3 0.15816165 0.856899659 -0.036555161
#> 4 -0.04053481 -0.008992876 0.309668446
#> 5 0.21175636 -0.036154028 -0.181619600
#> 6 -0.02636411 0.203254273 -2.906557299
#> spatial_predictor_0_109 spatial_predictor_0_110 spatial_predictor_0_111
#> 1 -0.1455889284 -0.32455179 -2.170972400
#> 2 -0.1895525040 -0.11356512 -0.002251603
#> 3 -0.9702567745 -1.88338112 0.370325272
#> 4 0.0357688861 -0.19496119 -0.714082736
#> 5 -0.0001107778 0.06189216 -0.158348256
#> 6 0.2505408727 0.09943266 -0.152074689
#> spatial_predictor_0_112 spatial_predictor_0_113 spatial_predictor_0_114
#> 1 0.313419493 1.7571156 0.06751098
#> 2 0.002779533 0.4170583 -0.31897982
#> 3 0.041588472 0.4772743 1.42524585
#> 4 -0.127281026 -0.5422528 0.04477499
#> 5 0.079118868 0.1754404 -0.01666571
#> 6 -0.003019568 0.3474119 0.03830108
#> spatial_predictor_0_115 spatial_predictor_0_116 spatial_predictor_0_117
#> 1 -0.25901492 -0.14854622 -0.80391253
#> 2 -0.04230312 0.28772131 0.11585272
#> 3 1.81900171 -1.48478350 0.82157141
#> 4 0.03399012 -0.06106836 -0.15297483
#> 5 0.01950440 0.02961632 0.13529278
#> 6 -0.01992509 -0.04978953 -0.07744586
#> spatial_predictor_0_118 spatial_predictor_0_119 spatial_predictor_0_120
#> 1 0.6949590 3.795242027 -0.10942421
#> 2 0.1718249 0.001273049 -0.41432484
#> 3 -0.1279618 0.120059795 -0.40084307
#> 4 0.8837286 0.700150045 -0.16868967
#> 5 -0.6422129 -0.434978550 0.13789042
#> 6 0.4134145 0.063936578 -0.03761962
#> spatial_predictor_0_121 spatial_predictor_0_122 spatial_predictor_0_123
#> 1 -0.015851855 -0.7318169580 -1.219145e-05
#> 2 -0.057694032 -0.1598128546 4.749882e-03
#> 3 -0.228922041 0.0008325318 1.950401e-02
#> 4 -0.003138167 0.0249328213 1.650181e-03
#> 5 -0.248086042 -1.5991171388 9.965476e-04
#> 6 0.076441685 0.0552619448 -9.081125e-04
#> spatial_predictor_0_124 spatial_predictor_0_125 spatial_predictor_0_126
#> 1 9.392666e-05 0.1379210 0.08091534
#> 2 7.923005e-04 -0.3638162 -0.53156238
#> 3 4.104094e-03 -0.2182211 -0.29290519
#> 4 4.332144e-04 -0.6825361 -1.30471924
#> 5 4.729383e-04 -0.4111982 -0.82616192
#> 6 -6.891470e-05 0.5598889 0.93350460
#> spatial_predictor_0_127 spatial_predictor_0_128 spatial_predictor_0_129
#> 1 -0.02679597 -0.6875499 -0.1286243
#> 2 0.03278254 0.3804117 -0.3114318
#> 3 2.20570183 -0.3853342 1.6013066
#> 4 -0.36698090 0.1966626 0.4318463
#> 5 -0.30337554 -1.9165297 -0.1679517
#> 6 0.29900046 0.6351557 -0.3222373
#> spatial_predictor_0_130 spatial_predictor_0_131 spatial_predictor_0_132
#> 1 0.2122063 -0.02494497 1.2479316
#> 2 -0.2602449 0.02526810 -0.1773632
#> 3 0.2677385 -0.29305004 -0.0157087
#> 4 -1.2072085 -0.00770374 0.4391586
#> 5 -0.4902661 0.04242279 0.4432343
#> 6 1.5215418 -0.03802736 -1.9700640
#> spatial_predictor_0_133 spatial_predictor_0_134 spatial_predictor_0_135
#> 1 -0.08835137 0.03369634 0.05751413
#> 2 -0.09811178 0.02608533 0.01173780
#> 3 0.19944878 0.63367485 0.44201353
#> 4 -0.09666627 0.08942716 0.04923991
#> 5 -0.05756931 0.02920401 0.03707083
#> 6 0.19309275 -0.00327431 0.07950854
#> spatial_predictor_0_136 spatial_predictor_0_137 spatial_predictor_0_138
#> 1 1.31688831 -0.04570347 -0.01487333
#> 2 -0.33383255 0.05353476 -0.06788822
#> 3 -0.09189543 -0.46354224 -0.03462277
#> 4 0.51690373 -0.02870772 0.53993201
#> 5 1.41690894 -0.05688716 -0.34088361
#> 6 -0.59952809 0.06041714 0.77568907
#> spatial_predictor_0_139 spatial_predictor_0_140 spatial_predictor_0_141
#> 1 0.77707822 0.26106898 -0.11949171
#> 2 0.36190892 -0.49712301 0.01775014
#> 3 0.07356210 0.07261467 -0.06567281
#> 4 -0.44403444 -0.10604717 -0.14646417
#> 5 0.41412708 -0.01138469 -1.34847179
#> 6 0.08972453 0.05262793 0.26256469
#> spatial_predictor_0_142 spatial_predictor_0_143 spatial_predictor_0_144
#> 1 -0.01390711 -0.03935948 0.03267434
#> 2 0.33160248 -0.34039295 -1.26353610
#> 3 0.95943972 -1.19104380 -0.81311216
#> 4 -0.01066130 0.11214260 0.12850773
#> 5 0.02812667 0.02583393 -0.05278836
#> 6 -0.09666013 -0.09959828 0.17692994
#> spatial_predictor_0_145 spatial_predictor_0_146 spatial_predictor_0_147
#> 1 0.39312402 1.056153790 0.521476619
#> 2 0.49365212 0.008607085 0.910896110
#> 3 -0.09709201 0.421028503 -0.974466411
#> 4 -1.06031060 0.578472092 0.059157846
#> 5 0.15513963 -0.460488710 -0.067150020
#> 6 1.71347738 0.742956381 -0.006642167
#> spatial_predictor_0_148 spatial_predictor_0_149 spatial_predictor_0_150
#> 1 -1.139910825 -0.03734818 0.130080202
#> 2 -0.064984625 -0.29371245 -0.550204553
#> 3 0.048374795 0.04285457 0.798594570
#> 4 -0.007419167 0.22236026 0.079628182
#> 5 -0.077426797 -0.11633722 -0.007362213
#> 6 0.271442224 1.09290057 -0.082581422
#> spatial_predictor_0_151 spatial_predictor_0_152 spatial_predictor_0_153
#> 1 0.004475877 0.017083941 -0.0176888283
#> 2 -0.034175346 -0.268358263 -0.0007587757
#> 3 0.036139637 0.552932859 1.5297276711
#> 4 0.012737367 0.107592760 0.0473336207
#> 5 -0.000486669 -0.008001979 0.0043054101
#> 6 0.008718341 -0.006859863 0.0016279524
#> spatial_predictor_0_154 spatial_predictor_0_155 spatial_predictor_0_156
#> 1 -0.08457569 0.04376452 0.4774618
#> 2 -0.15456396 0.40447137 0.2605849
#> 3 -1.58097259 0.45888994 -0.3210489
#> 4 0.19015059 -0.23142549 -0.4318417
#> 5 0.01440067 0.01317765 -0.3789342
#> 6 0.05924714 -0.02508289 0.1680469
#> spatial_predictor_0_157 spatial_predictor_0_158 spatial_predictor_0_159
#> 1 0.00497745 -0.15253378 -0.16847715
#> 2 0.30510432 -0.21351530 -0.37575449
#> 3 -0.40012610 0.14418659 0.44887111
#> 4 -0.10606825 0.34334561 0.50223395
#> 5 0.04128911 -0.02739118 -0.05142445
#> 6 -0.11244806 0.20494018 0.25994468
#> spatial_predictor_0_160 spatial_predictor_0_161 spatial_predictor_0_162
#> 1 -0.44285594 0.017356853 0.1047585
#> 2 -0.10660133 -0.160739927 -0.6296241
#> 3 -0.24469764 -0.006514458 0.1092854
#> 4 0.84167516 0.196421214 0.2719738
#> 5 0.14965601 0.016073552 0.1392805
#> 6 0.08803845 0.194545679 0.6697601
#> spatial_predictor_0_163 spatial_predictor_0_164 spatial_predictor_0_165
#> 1 0.09806388 0.1954017 0.014420732
#> 2 -0.33512035 0.8617900 0.346973203
#> 3 -0.15993912 0.2774425 -0.072634176
#> 4 0.11986935 -0.6216684 -0.345241633
#> 5 0.56919597 0.2101909 0.050217908
#> 6 0.47015445 0.1047632 0.009081827
#> spatial_predictor_0_166 spatial_predictor_0_167 spatial_predictor_0_168
#> 1 -0.2354890 -0.15595746 0.33718614
#> 2 0.3004421 0.49546250 -0.05961929
#> 3 0.1613970 -0.07655047 -0.02901090
#> 4 -0.1273403 -0.80542822 0.02991288
#> 5 0.3703223 0.25021517 -0.76345852
#> 6 -0.4266210 -0.50177679 0.75537654
#> spatial_predictor_0_169 spatial_predictor_0_170 spatial_predictor_0_171
#> 1 -0.01536964 0.36559648 0.03766481
#> 2 0.35694820 -0.33461727 1.02577632
#> 3 -0.03507249 -0.07779203 0.16399883
#> 4 -0.09442874 0.12079593 -0.48048865
#> 5 0.39987156 -1.09912030 0.63185719
#> 6 -0.07734427 0.46802951 0.13654523
#> spatial_predictor_0_172 spatial_predictor_0_173 spatial_predictor_0_174
#> 1 0.1253257 -0.1610113 -0.06814937
#> 2 -0.1954604 0.3583458 -0.06444435
#> 3 -0.3563444 -0.5859440 0.02089588
#> 4 0.1584751 -0.2696555 -0.19126037
#> 5 0.1895644 0.3367973 0.23207085
#> 6 0.5799790 -0.2940290 -0.15605911
#> spatial_predictor_0_175 spatial_predictor_0_176 spatial_predictor_0_177
#> 1 0.1027935 0.03116451 -0.05639859
#> 2 0.3718533 0.05299426 0.34017149
#> 3 -0.1716748 0.25926366 -0.02925540
#> 4 -0.2072883 -0.11128367 -0.07403952
#> 5 -0.1571659 0.00928933 0.10997754
#> 6 -0.4253851 -0.16148337 0.02846830
#> spatial_predictor_0_178 spatial_predictor_0_179 spatial_predictor_0_180
#> 1 0.10683391 0.11072753 0.218196428
#> 2 -0.22672494 -0.54557556 0.282150057
#> 3 -0.32810255 0.20006420 -0.009171285
#> 4 -0.06689952 -0.23707127 0.224660686
#> 5 -0.11844507 0.04201469 0.542482359
#> 6 -0.24547269 -0.43533255 0.084640692
#> spatial_predictor_0_181 spatial_predictor_0_182 spatial_predictor_0_183
#> 1 0.38683452 -0.02690507 0.18989270
#> 2 0.53480794 -0.46533412 -0.80312234
#> 3 0.01730616 -0.12627747 -0.06337055
#> 4 0.29966584 -0.10822004 0.09591721
#> 5 -0.86924106 0.11821603 0.03112643
#> 6 -0.59700989 -0.04642413 -0.37504780
#> spatial_predictor_0_184 spatial_predictor_0_185 spatial_predictor_0_186
#> 1 -0.02894385 0.002034152 -0.11131446
#> 2 0.20350464 -0.050282536 0.06290212
#> 3 0.27302267 -0.112717379 -0.06317730
#> 4 -0.01313006 0.084435605 -0.07609181
#> 5 -0.04294119 -0.162278480 0.25105954
#> 6 -0.05039647 -0.581396329 0.59448364
#> spatial_predictor_0_187 spatial_predictor_0_188 spatial_predictor_0_189
#> 1 0.720885733 -0.2842690 -0.16123765
#> 2 -0.382501014 -0.9521776 -0.13285551
#> 3 0.127598604 0.3391291 -0.05219062
#> 4 0.008563033 0.1031825 0.03766582
#> 5 -0.212142918 0.2726150 -0.05243145
#> 6 -0.620324347 0.1290930 0.07613207
#> spatial_predictor_0_190 spatial_predictor_0_191 spatial_predictor_0_192
#> 1 0.353124505 0.17786926 -0.24666777
#> 2 -0.069383649 -0.38888284 0.40932004
#> 3 0.059676046 -0.19320854 -0.15049090
#> 4 -0.009832936 0.14104610 -0.10473591
#> 5 0.492808597 0.06710036 0.04012085
#> 6 -0.501761350 -0.15269921 0.02041464
#> spatial_predictor_0_193 spatial_predictor_0_194 spatial_predictor_0_195
#> 1 -0.71823405 -0.01538441 0.03259211
#> 2 -0.18560700 -0.63476662 0.44417248
#> 3 0.04644974 -0.36518632 0.20265358
#> 4 -0.15550468 0.04449836 -0.09329388
#> 5 0.55857966 0.22516670 -0.18054588
#> 6 -0.14050336 -0.08748691 0.09994347
#> spatial_predictor_0_196 spatial_predictor_0_197 spatial_predictor_0_198
#> 1 0.11308084 -0.340089500 -0.02003248
#> 2 -0.20543590 -0.194588865 -0.09051743
#> 3 0.05298784 -0.009727495 0.56555526
#> 4 0.03984539 0.032579353 0.04093300
#> 5 0.19625460 -0.208083468 0.04910342
#> 6 -0.15492481 0.280215466 -0.01245692
#> spatial_predictor_0_199 spatial_predictor_0_200 spatial_predictor_0_201
#> 1 -0.111899010 -0.008220651 0.06864253
#> 2 -0.243088034 0.044523430 0.17265031
#> 3 -0.003210506 0.321777808 0.15045429
#> 4 0.335994361 -0.001657612 0.11882487
#> 5 -0.291749041 -0.049570488 0.16504150
#> 6 0.039776443 0.005082143 0.18774640
#> spatial_predictor_0_202 spatial_predictor_0_203 spatial_predictor_0_204
#> 1 0.19762948 -0.2759177 -0.007008019
#> 2 0.09355998 -0.1483305 0.206183668
#> 3 -0.11299661 -0.0260271 -0.106827812
#> 4 0.01023782 0.5510294 -0.137734449
#> 5 0.03203948 -0.2242766 0.109869063
#> 6 0.37592718 0.1286010 -0.024031409
#> spatial_predictor_0_205 spatial_predictor_0_206 spatial_predictor_0_207
#> 1 0.21323148 0.0703048491 -0.23796376
#> 2 -0.07786454 0.0209804716 0.22248559
#> 3 -0.01094558 0.0006048346 -0.01812314
#> 4 -0.05654874 -0.0438910645 -0.06199745
#> 5 -0.21641853 0.0265477498 -0.09424567
#> 6 -0.36423118 0.0857711974 -0.17767037
#> spatial_predictor_0_208 spatial_predictor_0_209 spatial_predictor_0_210
#> 1 -0.03206617 0.008716490 -0.12655553
#> 2 -0.63594563 -0.077560921 -0.01870984
#> 3 0.03548244 -0.068084263 -0.01114850
#> 4 -0.13426802 -0.009008687 0.16961427
#> 5 0.15069726 0.002294747 0.42795326
#> 6 0.06118117 0.024565418 -0.01415947
#> spatial_predictor_0_211 spatial_predictor_0_212 spatial_predictor_0_213
#> 1 0.02056728 0.04258712 -0.03570822
#> 2 -0.11017514 -0.15182483 0.04551669
#> 3 0.08551551 -0.02339698 0.12085762
#> 4 0.03703951 0.11785357 0.01750318
#> 5 0.05022557 0.12736044 0.02169161
#> 6 0.01420911 -0.15531528 -0.04014103
#> spatial_predictor_0_214 spatial_predictor_0_215 spatial_predictor_0_216
#> 1 -0.051609578 -0.006568166 0.015870657
#> 2 0.044777028 -0.003493034 -0.035405878
#> 3 -0.098963854 0.298650794 0.013803668
#> 4 -0.028505597 -0.024012477 0.003276386
#> 5 -0.050056316 -0.025863815 -0.014798518
#> 6 -0.006764217 -0.002496677 0.037716598
#> spatial_predictor_0_217 spatial_predictor_0_218 spatial_predictor_0_219
#> 1 0.093150343 0.009549805 0.048097265
#> 2 0.010594734 0.095426810 0.018012159
#> 3 -0.006237964 -0.021986421 0.066526736
#> 4 0.104389679 0.054447732 0.007562064
#> 5 0.057345346 0.074247146 0.025417330
#> 6 0.100711223 -0.019844393 0.025542096
#> spatial_predictor_0_220 spatial_predictor_0_221 spatial_predictor_0_222
#> 1 -0.159757946 -0.001915497 0.047028880
#> 2 -0.041733230 -0.020259093 0.030009087
#> 3 0.006940596 -0.060738871 0.002720058
#> 4 -0.010903937 -0.009752419 0.029812464
#> 5 -0.079135965 -0.011880321 -0.010864066
#> 6 -0.089822277 -0.001655769 -0.079876709
#> spatial_predictor_0_223 spatial_predictor_0_224 spatial_predictor_0_225
#> 1 -0.0156513394 0.05736403 0.011401407
#> 2 0.0213792395 -0.05082478 -0.024306350
#> 3 -0.0189027421 -0.01160332 -0.001262984
#> 4 0.0148438740 -0.04937007 0.006354207
#> 5 0.0095924835 -0.00882050 -0.030817884
#> 6 -0.0001438305 0.01418481 -0.017935342
#> spatial_predictor_0_226 spatial_predictor_1000_1 spatial_predictor_1000_2
#> 1 0.0024923655 9.077380 -0.9086304
#> 2 -0.0057327055 2.542267 7.1430754
#> 3 0.0033561176 -6.074998 -6.0614633
#> 4 -0.0025942269 9.449762 1.7916180
#> 5 -0.0031507527 6.285115 -4.3297628
#> 6 -0.0001034069 7.087413 -4.1308619
#> spatial_predictor_1000_3 spatial_predictor_1000_4 spatial_predictor_1000_5
#> 1 2.743508 -1.10277061 3.203835
#> 2 1.487433 -0.07194661 -1.645741
#> 3 5.705296 -1.53773707 -1.992657
#> 4 4.662155 -2.34817255 2.303648
#> 5 -2.771713 3.40355567 1.643642
#> 6 -1.958878 2.88868913 2.321629
#> spatial_predictor_1000_6 spatial_predictor_1000_7 spatial_predictor_1000_8
#> 1 -0.5613846 3.1262672 -0.4587673
#> 2 0.4264853 -0.6623700 1.3167399
#> 3 0.2832562 -2.0965849 -1.6281094
#> 4 1.5826000 0.7392115 0.2187453
#> 5 0.3733529 3.9401952 -3.2433727
#> 6 1.4442219 5.4314970 -4.3961920
#> spatial_predictor_1000_9 spatial_predictor_1000_10 spatial_predictor_1000_11
#> 1 -0.2859252 -1.3165970 0.5248074
#> 2 0.3042120 0.8824864 0.7916223
#> 3 3.5736466 -0.8511592 1.9788836
#> 4 -0.3679947 2.5292223 1.1451495
#> 5 1.5595919 -3.1428199 -1.1338415
#> 6 1.9674551 -2.5239433 -1.2830117
#> spatial_predictor_1000_12 spatial_predictor_1000_13 spatial_predictor_1000_14
#> 1 -0.57270252 0.7021078 0.9273710
#> 2 -0.01565485 0.4258524 1.1738109
#> 3 -0.68332656 0.9890611 1.1533828
#> 4 -1.78096096 0.1810768 -0.9279167
#> 5 1.62646856 0.1535510 -1.2545830
#> 6 1.36447892 -0.2997104 -1.2429061
#> spatial_predictor_1000_15 spatial_predictor_1000_16 spatial_predictor_1000_17
#> 1 -1.0135562 0.8297926 0.1829125
#> 2 -0.3416350 0.8934077 -0.4251121
#> 3 0.6896154 0.8550549 0.5843015
#> 4 -0.6291021 -1.3197483 -0.5734209
#> 5 0.2866956 0.2701295 -0.4013594
#> 6 0.7135930 -0.1027657 0.1734998
#> spatial_predictor_1000_18 spatial_predictor_1000_19 spatial_predictor_1000_20
#> 1 0.06183416 1.66294530 -1.0091865
#> 2 -0.67171502 0.03923729 -0.6065340
#> 3 0.27352922 -0.52058879 -0.1535620
#> 4 -1.48295594 -0.37967337 0.9355907
#> 5 0.08799507 -0.32741456 -0.1683189
#> 6 -0.21368945 -0.59514890 -0.1269941
#> spatial_predictor_1000_21 spatial_predictor_1000_22 spatial_predictor_1000_23
#> 1 0.8996725 -0.910337760 0.35112984
#> 2 1.1071164 -0.129782596 -0.39435312
#> 3 -1.6976610 -2.159169516 -0.59208712
#> 4 -3.0826904 -0.001171461 -0.03812193
#> 5 -0.9350109 1.039627719 -0.32724802
#> 6 -0.3152927 0.608356823 -0.27926834
#> spatial_predictor_1000_24 spatial_predictor_1000_25 spatial_predictor_1000_26
#> 1 -0.1916026 1.2759083 -0.23125788
#> 2 0.3569665 0.1729746 0.21486749
#> 3 1.1235278 -1.5202554 1.52774677
#> 4 -0.3859549 1.0762847 -0.98178414
#> 5 0.1257106 -0.3198743 0.02231814
#> 6 0.2697958 -1.1458635 -0.47522107
#> spatial_predictor_1000_27 spatial_predictor_1000_28 spatial_predictor_1000_29
#> 1 0.8510175 -0.84016926 0.3685766
#> 2 -0.1942457 0.18750731 0.5008872
#> 3 0.6026364 -0.36676144 0.2243654
#> 4 1.1928947 -0.80355425 0.2660253
#> 5 -1.2237320 0.85953136 0.1423688
#> 6 0.1867784 -0.04661881 -0.3659995
#> spatial_predictor_1000_30 spatial_predictor_1000_31 spatial_predictor_1000_32
#> 1 -0.05184294 0.7306511 0.1084356
#> 2 0.18467546 0.3949255 0.5040535
#> 3 0.26872749 0.8917106 0.6116291
#> 4 0.22949424 -0.2656732 -0.2235287
#> 5 0.15028134 0.6946815 -0.9676075
#> 6 -1.27731634 1.1045308 -0.9145541
#> spatial_predictor_1000_33 spatial_predictor_1000_34 spatial_predictor_1000_35
#> 1 0.0874635201 1.1125507 -0.50954638
#> 2 -0.4541024304 0.3585128 0.69320675
#> 3 -0.4217175019 0.4073970 0.22747473
#> 4 -0.5969069595 -1.3377958 0.81252489
#> 5 0.0007443121 0.5101423 -0.51091165
#> 6 -0.6346426603 -1.7254594 -0.02303392
#> spatial_predictor_1000_36 spatial_predictor_1000_37 spatial_predictor_1000_38
#> 1 0.29322512 -0.48958628 -0.1194507
#> 2 0.57453948 -0.98887985 0.1094166
#> 3 -0.05311258 0.16355027 0.2482454
#> 4 0.04380853 0.01562752 -0.5024761
#> 5 1.58029381 1.47041420 -0.1374303
#> 6 1.77451447 -0.52206359 -0.7939217
#> spatial_predictor_1000_39 spatial_predictor_1000_40 spatial_predictor_1000_41
#> 1 0.02465228 0.1515012 -0.09398139
#> 2 0.20322124 0.2285068 0.13735810
#> 3 0.65304582 -0.9116016 0.03670080
#> 4 -0.03739846 -0.1447509 -0.25194406
#> 5 0.03279993 0.1660092 -0.05367003
#> 6 -0.11881942 0.9773003 1.48611054
#> spatial_predictor_1000_42 spatial_predictor_1000_43 spatial_predictor_1000_44
#> 1 -0.39397237 -0.6632581 -0.5606623
#> 2 0.66758538 -0.3883406 0.4362763
#> 3 0.64410890 0.2114401 -0.2011147
#> 4 -0.41452640 -0.5315298 0.1487060
#> 5 0.02589065 -1.1165147 -1.2458665
#> 6 0.10705581 0.2695373 -1.5707261
#> spatial_predictor_1000_45 spatial_predictor_1000_46 spatial_predictor_1000_47
#> 1 0.9861766 -0.61966588 -0.65999156
#> 2 -0.2878491 -0.61202012 0.52409596
#> 3 -0.3653370 -2.07895521 0.26389959
#> 4 0.8319100 -0.30248754 -0.44520098
#> 5 0.4706174 -0.07813427 -0.18653024
#> 6 1.0861572 0.15666468 -0.05975561
#> spatial_predictor_1000_48 spatial_predictor_1000_49 spatial_predictor_1000_50
#> 1 0.6437432 -0.02612060 -0.04607011
#> 2 0.1169782 1.01183794 -0.29641461
#> 3 -0.4224252 0.25741200 0.04927037
#> 4 0.2112857 0.05037800 -0.61771131
#> 5 -0.7918804 -0.01097789 -0.72737754
#> 6 -1.5110080 0.30195196 -0.64192445
#> spatial_predictor_1000_51 spatial_predictor_1000_52 spatial_predictor_1000_53
#> 1 -0.48265591 0.1005205 -0.30565544
#> 2 0.19927025 -0.2238584 -0.62243410
#> 3 -0.39237563 0.1211808 0.65599475
#> 4 -0.90354142 -0.5581592 -0.04051531
#> 5 -0.04677935 -0.2443140 -0.04126133
#> 6 0.38120860 -0.7871363 0.88155003
#> spatial_predictor_1000_54 spatial_predictor_1000_55 spatial_predictor_1000_56
#> 1 0.006615201 -0.671530382 0.37128286
#> 2 -0.051774083 -0.130322700 -0.31386792
#> 3 0.230834366 0.009455472 -0.32442540
#> 4 0.322143294 -0.447871074 -0.02033659
#> 5 0.985519686 -0.528410497 -0.22957593
#> 6 0.058711306 0.053414873 0.63868496
#> spatial_predictor_1000_57 spatial_predictor_1000_58 spatial_predictor_1000_59
#> 1 -0.17712363 0.56176643 -0.543796334
#> 2 0.06947338 0.21001746 -0.006818544
#> 3 0.05982259 -0.16815193 0.823174716
#> 4 0.09478758 0.02207308 0.359961227
#> 5 0.15623902 -1.20914364 -0.083232702
#> 6 -0.15103142 -0.26336281 -0.561780338
#> spatial_predictor_1000_60 spatial_predictor_1000_61 spatial_predictor_1000_62
#> 1 0.4200336 0.03315567 -0.66749046
#> 2 -0.2755754 -0.08895711 -0.02934840
#> 3 -0.2538394 -0.05881123 -0.65589109
#> 4 0.1702653 -0.09837144 -0.29645621
#> 5 -0.9276037 -0.42155258 0.01320445
#> 6 0.5284208 -0.58507446 -0.40519371
#> spatial_predictor_1000_63 spatial_predictor_1000_64 spatial_predictor_1000_65
#> 1 0.387352611 -0.34188278 -0.8953244
#> 2 -0.001484311 -0.04054244 -0.5359462
#> 3 0.530809406 0.81460995 -0.4854731
#> 4 -0.064140051 -0.42738832 0.1686890
#> 5 0.213242271 -0.55509119 0.2981182
#> 6 1.059441067 -0.35635394 -0.3738498
#> spatial_predictor_1000_66 spatial_predictor_1000_67 spatial_predictor_1000_68
#> 1 0.23352932 -0.27487511 0.61795615
#> 2 0.81525403 -0.05101507 0.34821761
#> 3 0.42491959 -0.94152703 -0.23657441
#> 4 -0.15708463 -0.32969190 -0.48535778
#> 5 -0.09972884 0.35433685 0.46496581
#> 6 -0.05349179 0.20935125 0.03903695
#> spatial_predictor_1000_69 spatial_predictor_1000_70 spatial_predictor_1000_71
#> 1 0.0780414 0.1565868 -0.65214114
#> 2 -0.8856848 -0.3877796 -0.60408232
#> 3 0.4843920 0.8701678 -0.03313128
#> 4 0.4102190 -0.2905093 0.45856107
#> 5 0.2093664 0.1817500 -0.65506179
#> 6 -0.3227077 -0.3371068 0.17869729
#> spatial_predictor_1000_72 spatial_predictor_1000_73 spatial_predictor_1000_74
#> 1 -0.70598551 0.5623477 -0.40280554
#> 2 -0.07970040 0.7386908 0.75906081
#> 3 -0.44419323 -0.2988710 -0.32785463
#> 4 -0.02409202 -0.2548969 -0.33939930
#> 5 -0.51652380 0.4340845 -0.02134449
#> 6 -0.95238775 0.7235571 0.06218091
#> spatial_predictor_1000_75 spatial_predictor_1000_76 spatial_predictor_1000_77
#> 1 0.48995894 -0.25958373 -0.46537813
#> 2 0.05245159 0.07963629 0.33601318
#> 3 -1.13070549 0.04422716 0.35001059
#> 4 0.10021688 -0.09278107 -0.44717549
#> 5 -0.08681766 0.16010510 -0.01992145
#> 6 -0.17046557 0.11405282 0.20987049
#> spatial_predictor_1000_78 spatial_predictor_1000_79 spatial_predictor_1000_80
#> 1 0.27241884 0.3156705918 0.51674888
#> 2 0.13403376 0.7668389757 -0.07454272
#> 3 -0.26878292 0.1784822046 -0.18611807
#> 4 -0.03064687 -0.0333920981 -0.11277596
#> 5 0.37687165 0.1275326844 -0.07915582
#> 6 0.10282150 -0.0004774392 -0.50353972
#> spatial_predictor_1000_81 spatial_predictor_1000_82 spatial_predictor_1000_83
#> 1 -0.5493968 -0.26153608 0.06915233
#> 2 -0.1122327 0.36612789 -0.60461384
#> 3 -0.5449908 -0.05853404 0.79638174
#> 4 -0.1552042 0.11052852 0.01690108
#> 5 0.1585707 -0.03155931 0.21717685
#> 6 0.2043007 0.21188188 0.23005137
#> spatial_predictor_1000_84 spatial_predictor_1000_85 spatial_predictor_1000_86
#> 1 -0.3786726 0.2317167 0.13228153
#> 2 -0.2135785 0.2616585 -0.04086103
#> 3 0.6124494 0.4733756 0.30505196
#> 4 -0.2281051 -0.2459487 -0.20374544
#> 5 0.2600211 -0.1605217 -0.26438064
#> 6 0.5094054 -0.8226678 -0.45847853
#> spatial_predictor_1000_87 spatial_predictor_1000_88 spatial_predictor_1000_89
#> 1 0.07425695 0.13939564 -0.09554662
#> 2 0.14678052 -0.19318932 0.32611976
#> 3 0.16120825 -0.74424759 -0.89245729
#> 4 -0.12900389 -0.18262828 -0.21453341
#> 5 -0.35194476 0.09937847 0.08819670
#> 6 0.33068914 -0.09671785 0.20534522
#> spatial_predictor_1000_90 spatial_predictor_1000_91 spatial_predictor_1000_92
#> 1 -0.0008009093 -0.08513828 0.40150653
#> 2 0.0029935626 0.02473128 -0.03135561
#> 3 -0.0073305478 0.21882289 -0.37700521
#> 4 -0.0016966036 -0.14063421 -0.08158892
#> 5 0.0006352338 -0.13701676 -0.06910805
#> 6 0.0020399924 0.52353016 -0.14803147
#> spatial_predictor_1000_93 spatial_predictor_1000_94 spatial_predictor_1000_95
#> 1 -0.42897436 0.2489256 -0.19447406
#> 2 -0.38990233 -0.6766898 0.04541815
#> 3 0.44197270 -0.3981882 -0.37168202
#> 4 -0.52756002 -0.2692727 -0.34296200
#> 5 -0.02137147 -0.1479849 0.04936748
#> 6 0.07532458 -0.1356911 0.58905840
#> spatial_predictor_1000_96 spatial_predictor_1000_97 spatial_predictor_1000_98
#> 1 0.1556646 -0.1670358 -0.13208906
#> 2 0.3935420 0.4002215 -0.17955627
#> 3 0.2143100 -0.2883027 0.68080370
#> 4 -0.5812603 0.6262749 0.22732176
#> 5 0.2006497 0.1613373 -0.05872663
#> 6 -0.5759108 0.3220476 0.77475114
#> spatial_predictor_1000_99 spatial_predictor_1000_100
#> 1 -0.044041860 0.06633904
#> 2 -0.005528929 0.21347681
#> 3 0.101228308 0.22893700
#> 4 -0.352370174 -0.09259244
#> 5 0.207376388 -0.07264746
#> 6 -0.262286961 -0.09633020
#> spatial_predictor_1000_101 spatial_predictor_1000_102
#> 1 -0.45368932 -0.2760360
#> 2 -0.02330021 0.1477068
#> 3 -0.03790018 -0.7101680
#> 4 -0.19680386 0.2707485
#> 5 -0.15162566 0.4053003
#> 6 -0.10297116 0.2615967
#> spatial_predictor_1000_103 spatial_predictor_1000_104
#> 1 -0.29923617 -0.03765327
#> 2 -0.17878932 0.23855400
#> 3 -0.46967375 0.54136506
#> 4 0.05539984 0.32979379
#> 5 -0.17442574 0.40090282
#> 6 0.48879101 0.48208675
#> spatial_predictor_1000_105 spatial_predictor_1000_106
#> 1 -0.38730058 0.235802729
#> 2 -0.74885898 0.182011200
#> 3 -0.09956545 -0.152069465
#> 4 0.20119653 0.003290319
#> 5 -0.15611980 0.054587819
#> 6 -0.17351806 0.368774891
#> spatial_predictor_1000_107 spatial_predictor_1000_108
#> 1 -0.01711965 -0.63360804
#> 2 -0.08441605 0.27095205
#> 3 -0.21600666 -0.05514253
#> 4 0.48783827 -0.05830070
#> 5 -0.02116593 0.11978384
#> 6 0.21193640 -0.46096917
#> spatial_predictor_1000_109 spatial_predictor_1000_110
#> 1 -0.05593276 -0.0001220432
#> 2 0.09730718 0.0002480737
#> 3 0.42932273 0.0013553320
#> 4 0.02460746 0.0001382205
#> 5 0.21167070 0.0006776448
#> 6 -0.52209898 -0.0015613418
#> spatial_predictor_1000_111 spatial_predictor_1000_112
#> 1 -0.01158962 -0.02821928
#> 2 0.51319577 -0.20999123
#> 3 0.35488436 0.15780591
#> 4 0.29210908 -0.71084135
#> 5 -0.12874545 0.42035588
#> 6 0.39472939 0.06789094
#> spatial_predictor_1000_113 spatial_predictor_1000_114
#> 1 -0.01899772 -0.41983245
#> 2 -0.05140725 0.06755910
#> 3 -0.02538724 0.07794361
#> 4 -0.01765101 -0.10679879
#> 5 -0.18007977 -0.14447927
#> 6 0.18141688 0.17449499
#> spatial_predictor_1000_115 spatial_predictor_1000_116
#> 1 0.04086579 0.32799319
#> 2 -0.21124473 -0.02215237
#> 3 -0.12795602 -0.14319319
#> 4 0.14957615 0.12152644
#> 5 0.05237376 0.16831162
#> 6 -0.02106558 -0.57450841
#> spatial_predictor_1000_117 spatial_predictor_1000_118
#> 1 -0.29055851 0.59744027
#> 2 0.03597917 -0.04503977
#> 3 0.19887687 0.09185366
#> 4 -0.11006035 -0.05418722
#> 5 -0.01024507 -0.12300611
#> 6 0.27862740 0.38399101
#> spatial_predictor_1000_119 spatial_predictor_1000_120
#> 1 0.04926071 -4.769155e-05
#> 2 -0.01369482 -5.577803e-05
#> 3 0.08203879 -3.205527e-05
#> 4 0.19093974 -1.157751e-04
#> 5 -0.14650711 -8.125763e-05
#> 6 -0.27778132 -5.462763e-06
#> spatial_predictor_1000_121 spatial_predictor_1000_122
#> 1 0.3873724 0.0388225
#> 2 0.4947354 -0.3596190
#> 3 -0.2868810 0.0668885
#> 4 -0.1016276 -0.4371670
#> 5 -0.2206454 -0.4105715
#> 6 -0.1357672 0.3557067
#> spatial_predictor_1000_123 spatial_predictor_1000_124
#> 1 -0.01687945 -0.29418652
#> 2 0.30299469 0.36770162
#> 3 0.05894288 0.03381909
#> 4 0.02983715 0.13095747
#> 5 0.12117421 0.34349064
#> 6 0.01250515 -0.46348548
#> spatial_predictor_1000_125 spatial_predictor_1000_126
#> 1 0.63989633 -0.09945883
#> 2 0.02863020 0.33417404
#> 3 0.23135716 0.06841066
#> 4 0.38674993 0.49900765
#> 5 -0.08383792 0.09483270
#> 6 0.25903840 -0.01813702
#> spatial_predictor_1000_127 spatial_predictor_1000_128
#> 1 0.01525278 0.08068148
#> 2 -0.03168691 -0.14406707
#> 3 -0.17621212 -0.06911660
#> 4 0.48649732 -0.08780284
#> 5 0.12473298 -0.18762897
#> 6 0.23318187 0.10363394
#> spatial_predictor_1000_129 spatial_predictor_1000_130
#> 1 -0.009218467 9.205379e-05
#> 2 0.068960571 6.455978e-05
#> 3 0.096032205 4.125305e-05
#> 4 -0.133678147 5.574366e-05
#> 5 0.202462567 1.769061e-04
#> 6 0.087675753 5.736116e-05
#> spatial_predictor_1000_131 spatial_predictor_1000_132
#> 1 0.01526922 -0.03108702
#> 2 -0.18830668 0.18717810
#> 3 -0.09350531 0.09473859
#> 4 -0.32352980 0.38970655
#> 5 -0.02441326 0.67427320
#> 6 0.04493872 -0.14355901
#> spatial_predictor_1000_133 spatial_predictor_1000_134
#> 1 -0.108035585 0.25618735
#> 2 0.201229563 -0.06039737
#> 3 0.001701353 -0.13615433
#> 4 -0.402028494 -0.06528587
#> 5 -0.186463256 -0.21558107
#> 6 -0.085901366 0.32527359
#> spatial_predictor_1000_135 spatial_predictor_1000_136
#> 1 0.02719173 0.07782244
#> 2 0.21728578 -0.13863190
#> 3 0.06449532 -0.08376184
#> 4 -0.03282081 0.09232952
#> 5 0.12893921 0.10745242
#> 6 0.17356754 -0.03100964
#> spatial_predictor_1000_137 spatial_predictor_1000_138
#> 1 0.008844147 -0.0165268
#> 2 0.144253093 -0.1198514
#> 3 -0.187458584 0.1115699
#> 4 0.118586759 -0.3484621
#> 5 -0.301394719 0.2147939
#> 6 -0.192354819 -0.1251239
#> spatial_predictor_1000_139 spatial_predictor_1000_140
#> 1 0.519660778 -0.16440638
#> 2 0.001917172 -0.10658212
#> 3 0.205748442 0.06462444
#> 4 0.130851905 -0.33522911
#> 5 -0.541409623 0.03187394
#> 6 0.132624081 0.23228949
#> spatial_predictor_1000_141 spatial_predictor_1000_142
#> 1 -0.29469105 -0.26749110
#> 2 -0.20642578 0.12549727
#> 3 -0.07977042 0.08096817
#> 4 -0.02558042 0.21409745
#> 5 0.33001476 0.23412013
#> 6 0.09045049 -0.17390379
#> spatial_predictor_1000_143 spatial_predictor_1000_144
#> 1 -9.206344e-05 -0.0005592972
#> 2 -3.563774e-05 0.0002658979
#> 3 -3.848596e-05 0.0001186122
#> 4 8.275788e-05 0.0004696872
#> 5 1.344332e-04 0.0004637150
#> 6 -3.510016e-05 -0.0003796419
#> spatial_predictor_1000_145 spatial_predictor_1000_146
#> 1 -0.05425864 0.095053701
#> 2 -0.24872931 -0.008810024
#> 3 -0.07453834 0.168655610
#> 4 0.19934083 -0.057793915
#> 5 0.26008154 0.004121833
#> 6 0.08641070 -0.061938521
#> spatial_predictor_1000_147 spatial_predictor_1000_148
#> 1 2.834211e-04 0.18350624
#> 2 -7.970536e-05 0.04275518
#> 3 -1.407978e-04 0.09384395
#> 4 2.166871e-05 -0.21804064
#> 5 -1.818777e-04 0.02210692
#> 6 1.468222e-05 -0.30265695
#> spatial_predictor_1000_149 spatial_predictor_1000_150
#> 1 -0.12159275 0.09022291
#> 2 -0.04563616 0.05469155
#> 3 -0.03293483 -0.09430167
#> 4 0.10919720 -0.44240661
#> 5 0.01630492 -0.17213708
#> 6 -0.33013162 0.10607782
#> spatial_predictor_1000_151 spatial_predictor_1000_152
#> 1 -0.07044220 -8.801938e-05
#> 2 -0.10095742 9.650077e-05
#> 3 -0.31125871 -2.169334e-04
#> 4 -0.01946672 -1.038692e-05
#> 5 0.10225323 8.838903e-05
#> 6 0.06918140 -5.055664e-06
#> spatial_predictor_1000_153 spatial_predictor_1000_154
#> 1 0.17815589 -0.10354650
#> 2 0.04496551 -0.49412247
#> 3 -0.02255119 -0.04404598
#> 4 0.02078749 0.17960310
#> 5 0.06142089 0.01401374
#> 6 -0.18950145 -0.04827998
#> spatial_predictor_1000_155 spatial_predictor_1000_156
#> 1 0.099261998 -0.1950990
#> 2 0.274421812 -0.3507830
#> 3 0.050017563 -0.0525186
#> 4 -0.001171834 0.2479872
#> 5 0.165503634 0.1165571
#> 6 -0.246983897 -0.2087581
#> spatial_predictor_1000_157 spatial_predictor_1000_158
#> 1 -0.10713110 -0.30102735
#> 2 0.26351274 -0.21377240
#> 3 -0.02777393 0.07521524
#> 4 0.16189688 -0.13448902
#> 5 0.49462594 0.43128258
#> 6 -0.18450468 -0.12744868
#> spatial_predictor_1000_159 spatial_predictor_1000_160
#> 1 -0.354617312 -0.010189831
#> 2 -0.081571617 -0.005886126
#> 3 0.014183450 0.097285925
#> 4 0.160568509 -0.141647311
#> 5 0.291796419 -0.077603718
#> 6 0.005219616 0.013746617
#> spatial_predictor_1000_161 spatial_predictor_1000_162
#> 1 0.06664901 0.04322703
#> 2 0.04995442 -0.13122305
#> 3 0.09339931 -0.01497567
#> 4 -0.32705615 0.05251200
#> 5 -0.09564079 0.19040276
#> 6 0.02563554 0.13164388
#> spatial_predictor_1000_163 spatial_predictor_1000_164
#> 1 0.17848412 -0.10214687
#> 2 -0.10411648 -0.37000609
#> 3 -0.04582656 -0.13455419
#> 4 0.23848115 0.02550001
#> 5 -0.19658219 0.18927122
#> 6 -0.03991719 -0.16538768
#> spatial_predictor_1000_165 spatial_predictor_1000_166
#> 1 0.21015712 -0.56335679
#> 2 -0.02822209 0.17894816
#> 3 0.07690353 0.05686530
#> 4 0.12651406 -0.01364143
#> 5 -0.03499097 -0.52642799
#> 6 -0.10865861 -0.04492617
#> spatial_predictor_1000_167 spatial_predictor_1000_168
#> 1 -0.24385381 0.13185590
#> 2 -0.21956908 -0.05279734
#> 3 0.03223869 -0.21241011
#> 4 -0.49380248 0.18079744
#> 5 0.14490477 0.07486651
#> 6 -0.07380817 0.01647000
#> spatial_predictor_1000_169 spatial_predictor_1000_170
#> 1 0.03845440 -0.212954572
#> 2 0.08217303 -0.029492020
#> 3 -0.28202065 0.028027184
#> 4 -0.11538412 0.286355785
#> 5 -0.07465713 0.002583255
#> 6 -0.05451610 -0.007976387
#> spatial_predictor_1000_171 spatial_predictor_1000_172
#> 1 -0.04009098 0.034887148
#> 2 0.10591745 0.003690949
#> 3 0.08688216 0.079779359
#> 4 -0.09713410 0.457566184
#> 5 0.09269985 -0.233819436
#> 6 0.21182002 0.051400708
#> spatial_predictor_1000_173 spatial_predictor_1000_174
#> 1 -0.04670346 0.17887901
#> 2 0.15528449 0.17162563
#> 3 -0.31570546 0.02075468
#> 4 0.11429984 0.28470229
#> 5 0.09265256 0.01492258
#> 6 -0.07600530 0.15891999
#> spatial_predictor_1000_175 spatial_predictor_1000_176
#> 1 0.04229059 0.13343464
#> 2 0.18855511 0.29513407
#> 3 0.07289341 -0.07670053
#> 4 0.19812513 -0.09584285
#> 5 0.01307185 -0.25307693
#> 6 -0.04055946 0.24508289
#> spatial_predictor_1000_177 spatial_predictor_1000_178
#> 1 -0.17520563 0.06347715
#> 2 0.05269895 0.13210017
#> 3 -0.16612732 -0.20515649
#> 4 -0.05841842 -0.05331353
#> 5 -0.21463020 -0.06838614
#> 6 0.26217535 -0.12559696
#> spatial_predictor_1000_179 spatial_predictor_1000_180
#> 1 -0.03194236 0.13722181
#> 2 0.03791062 0.07987399
#> 3 -0.13801243 0.27875851
#> 4 -0.32845563 -0.18948463
#> 5 -0.01899609 0.01279153
#> 6 0.24899721 0.16339285
#> spatial_predictor_1000_181 spatial_predictor_1000_182
#> 1 0.04544184 -0.20861334
#> 2 -0.01133628 0.05988454
#> 3 0.08034252 0.02920672
#> 4 -0.16371934 0.13305155
#> 5 0.27950224 0.04742361
#> 6 -0.12606141 0.09828413
#> spatial_predictor_1000_183 spatial_predictor_1000_184
#> 1 0.21283910 -0.32031592
#> 2 -0.39579572 0.29855882
#> 3 -0.20357931 0.07368100
#> 4 -0.14738299 0.06260181
#> 5 0.21435746 0.34065720
#> 6 0.06497147 -0.08345326
#> spatial_predictor_1000_185 spatial_predictor_1000_186
#> 1 -0.14067315 0.18188324
#> 2 0.01526457 0.28749570
#> 3 0.01100462 -0.02844233
#> 4 0.17210407 -0.29218754
#> 5 -0.01567314 -0.01215931
#> 6 0.09300769 -0.31900580
#> spatial_predictor_1000_187 spatial_predictor_1000_188
#> 1 0.198233682 -0.08633818
#> 2 -0.202243117 -0.07957483
#> 3 -0.098496134 -0.13356255
#> 4 -0.051351723 0.02904595
#> 5 0.008509372 0.08472043
#> 6 -0.088099944 -0.01836947
#> spatial_predictor_1000_189 spatial_predictor_1000_190
#> 1 0.105909518 0.03271559
#> 2 -0.009954965 -0.04941379
#> 3 0.076870719 -0.04124257
#> 4 0.051384017 0.12033513
#> 5 -0.161484836 0.16003697
#> 6 -0.001939472 -0.04467582
#> spatial_predictor_1000_191 spatial_predictor_1000_192
#> 1 0.11007316 -0.15048673
#> 2 0.06524823 -0.02600331
#> 3 0.05268069 -0.08252396
#> 4 0.03813590 -0.07544144
#> 5 0.03224471 -0.03497054
#> 6 -0.07401339 0.12752773
#> spatial_predictor_1000_193 spatial_predictor_1000_194
#> 1 0.04415891 -0.0008019213
#> 2 0.07149690 -0.0696793931
#> 3 0.01938151 0.1199967056
#> 4 0.19725002 0.1402371965
#> 5 0.04608919 0.2014837336
#> 6 -0.06571467 -0.0719400130
#> spatial_predictor_1000_195 spatial_predictor_1000_196
#> 1 0.00981630 -0.01122345
#> 2 0.04417014 0.01846970
#> 3 -0.05613273 -0.06795751
#> 4 0.12380374 0.04109517
#> 5 0.07467824 0.10410837
#> 6 -0.02626196 0.06641749
#> spatial_predictor_1000_197 spatial_predictor_1000_198
#> 1 0.07106718 -0.053902297
#> 2 -0.01123298 0.005815729
#> 3 -0.03202435 0.035645698
#> 4 0.15686903 -0.115004252
#> 5 0.11830548 -0.012965962
#> 6 -0.12652194 -0.019920603
#> spatial_predictor_1000_199 spatial_predictor_1000_200
#> 1 -0.20623530 -0.023628149
#> 2 -0.02415067 0.030543279
#> 3 -0.01165361 0.165514099
#> 4 -0.07619757 -0.009055363
#> 5 0.25024723 -0.108666802
#> 6 -0.06069160 0.017011133
#> spatial_predictor_1000_201 spatial_predictor_1000_202
#> 1 0.002298788 -0.07259218
#> 2 -0.073131474 0.31899637
#> 3 -0.111197457 -0.14547341
#> 4 0.078486442 0.02427857
#> 5 -0.052776679 -0.01092183
#> 6 0.032488605 -0.03156595
#> spatial_predictor_1000_203 spatial_predictor_1000_204
#> 1 0.043604775 0.03961221
#> 2 -0.049491198 -0.09647992
#> 3 -0.018409201 -0.06049594
#> 4 -0.095391714 -0.03547790
#> 5 0.058986200 0.05186302
#> 6 -0.009963391 0.10151298
#> spatial_predictor_1000_205 spatial_predictor_1000_206
#> 1 0.055339397 -0.001925527
#> 2 0.190099604 -0.002813292
#> 3 -0.002192481 0.160548730
#> 4 0.051969875 -0.005835412
#> 5 0.086413784 0.067380110
#> 6 0.019153111 0.101600044
#> spatial_predictor_1000_207 spatial_predictor_1000_208
#> 1 -0.11332950 0.08458987
#> 2 0.02807374 -0.06482486
#> 3 0.01253373 0.13763975
#> 4 0.11427849 0.01501004
#> 5 -0.05636236 -0.03662402
#> 6 -0.05509374 -0.07817151
#> spatial_predictor_1000_209 spatial_predictor_1000_210
#> 1 -0.01303693 0.02171650
#> 2 0.06539774 -0.07383373
#> 3 -0.03560779 -0.08436196
#> 4 0.04120389 0.03149245
#> 5 -0.03772202 -0.07329934
#> 6 -0.01210445 -0.06521393
#> spatial_predictor_1000_211 spatial_predictor_1000_212
#> 1 -0.03768543 0.10121648
#> 2 -0.01030415 -0.08007344
#> 3 -0.03358114 -0.04259485
#> 4 0.02593932 0.04834863
#> 5 -0.06795183 0.02196886
#> 6 0.06715684 -0.04693980
#> spatial_predictor_1000_213 spatial_predictor_1000_214
#> 1 -0.076059766 -0.008073652
#> 2 -0.015890562 0.094634233
#> 3 0.014661895 -0.097279500
#> 4 -0.004992699 -0.025746433
#> 5 -0.016381206 0.012394422
#> 6 0.037207073 0.035573967
#> spatial_predictor_1000_215 spatial_predictor_1000_216
#> 1 0.0102583954 -0.0008256536
#> 2 -0.0051012027 0.0094283948
#> 3 0.0717760449 0.0310794373
#> 4 -0.0013948909 0.0321282002
#> 5 0.0071850153 -0.0475434530
#> 6 0.0009507676 0.0506333693
#> spatial_predictor_1000_217 spatial_predictor_1000_218
#> 1 0.043910002 0.0008037296
#> 2 0.029172498 0.0066914909
#> 3 0.018844708 0.0410163167
#> 4 -0.005036992 -0.0024965269
#> 5 0.019674666 0.0063390677
#> 6 0.009365937 -0.0150271488
#> spatial_predictor_1000_219 spatial_predictor_1000_220
#> 1 0.016469482 0.004290533
#> 2 0.027267178 0.002228241
#> 3 0.002172922 -0.012184651
#> 4 -0.004160153 -0.040165613
#> 5 0.027002490 -0.008413590
#> 6 0.003038506 -0.011546975
#> spatial_predictor_1000_221 spatial_predictor_1000_222
#> 1 -0.0202609754 0.034510611
#> 2 0.0070844180 -0.008768400
#> 3 0.0191296923 -0.010864004
#> 4 -0.0007575674 0.001374694
#> 5 -0.0075209326 0.021926368
#> 6 -0.0243947198 -0.010496391
#> spatial_predictor_1000_223 spatial_predictor_1000_224
#> 1 -0.0162415807 0.014190063
#> 2 -0.0015334450 0.009492912
#> 3 0.0049023619 0.001689626
#> 4 0.0008329817 -0.015257705
#> 5 -0.0005376181 0.014034381
#> 6 -0.0134062331 -0.006183478
#> spatial_predictor_1000_225 spatial_predictor_1000_226
#> 1 -0.004665539 -3.348231e-04
#> 2 -0.006730020 2.210457e-04
#> 3 -0.003366476 1.489924e-05
#> 4 0.004812213 -3.082347e-04
#> 5 -0.007005745 -1.075486e-04
#> 6 -0.010630333 -1.000373e-04