Ecological Archives E084-001-A3

James S. Clark, Michael C. Dietze, Inés Ibáñez and Jacqueline E. Mohan. 2003. Coexistence: how to identify trophic trade-offs. Ecology 84:17–31.

Appendix C. Tables of parameter estimates, posterior means, standard errors, and 95% credible intervals for light availability and individual plants.

Table C1. Posterior means, standard errors, and 95% credible intervals for the light availability for Liriodendron data.

Parameters
Posterior mean
SE
0.025
0.975
b0
-38.5
3.76
-45.9
-31.1000
b1
95.8
7.39
81.2
110
gh
57.3
4.02
49.4
65.3000
x0
0.0344
0.00178
0.0305
0.0376
theta
0.0514
0.00366
0.0421
0.0577
var
0.4960
0.561
0.0398
2.1400
V11
946
205
596
1410
V22
4730
803
3310
6490
V12
-2110
403
-3000
-1400


Table C2. Posterior means, standard errors, and 95% credible intervals for individual plants in the hierarchical analysis.

      x0       G    
plant yij mean SE 0.025 0.975 mean SE 0.025 0.975
Marginalized over all plants            
All 32 0.0343 0.00921 0.00871 0.0461 52.10 36.600 13.40 139.0
Individual plants              
1
12
0.0244
0.01470
0.00196
0.0569
14.10
1.860
16.80
21.1
2
34
0.0334
0.00596
0.02130
0.0449
45.10
2.610
49.70
55.5
3
19.5
0.0284
0.01060
0.00696
0.0488
24.10
2.160
27.80
32.5
4
9.5
0.0243
0.01700
0.00161
0.0647
10.90
1.780
13.40
17.6
5
11
0.0240
0.01540
0.00176
0.0588
12.80
1.820
15.40
19.8
6
44
0.0335
0.00576
0.02230
0.0449
48.20
1.020
50.30
52.3
7
36
0.0320
0.00705
0.01840
0.0464
39
1
41
43.1
8
12
0.0222
0.01800
0.00140
0.0649
11.90
0.926
13.50
15.6
9
40
0.0328
0.00628
0.02060
0.0454
43.60
1.010
45.70
47.7
10
22
0.0300
0.00939
0.01060
0.0479
27.60
2.570
32
37.7
11
33
0.0333
0.00607
0.02110
0.0449
43.50
3.200
48.80
56.0
12
27.5
0.0319
0.00742
0.01630
0.0461
35.50
2.880
40.40
46.7
13
39
0.0343
0.00514
0.02400
0.0443
52.10
3.590
58
66.1
14
20.5
0.0291
0.01010
0.00823
0.0483
25.60
2.480
29.60
35.2
15
46
0.0337
0.00559
0.02270
0.0447
49.60
0.955
51.60
53.5
16
78
0.0361
0.00375
0.02910
0.0438
85.60
1.030
87.80
89.7
17
62
0.0352
0.00432
0.02700
0.0442
67.60
0.983
69.70
71.6
18
69
0.0357
0.00401
0.02820
0.0440
75.50
1
77.60
79.6
19
59
0.0350
0.00452
0.02630
0.0443
64.30
0.971
66.30
68.2
20
31
0.0304
0.00846
0.01400
0.0479
32.70
0.990
34.60
36.7
21
20
0.0257
0.01280
0.00391
0.0527
20.40
0.934
22.20
24.2
22
26
0.0287
0.01020
0.00952
0.0497
27.10
0.956
29
31.0
23
18
0.0246
0.01380
0.00292
0.0547
18.20
0.938
19.90
22.0
24
32
0.0309
0.00813
0.01510
0.0475
33.80
0.994
35.70
37.8
25
75
0.0363
0.00367
0.02930
0.0440
88.90
2.370
92.80
98.5
26
96
0.0371
0.00337
0.03050
0.0440
114
2.940
119
126.0
27
72
0.0362
0.00372
0.02920
0.0439
85.20
2.310
89
94.7
28
53
0.0349
0.00458
0.02600
0.0441
62.20
1.830
65.30
69.6
29
99
0.0372
0.00338
0.03060
0.0442
118
3.020
123
130.0
30
51
0.0342
0.00511
0.02440
0.0445
54.90
0.945
56.90
58.8
31
47
0.0338
0.00557
0.02300
0.0450
50.50
0.943
52.40
54.3
32
42
0.0330
0.00616
0.02100
0.0455
44.90
0.929
46.80
48.7
33
42
0.0329
0.00623
0.02080
0.0456
44.90
0.932
46.80
48.7
34
31
0.0304
0.00847
0.01390
0.0477
32.60
0.917
34.40
36.3
35
7
0.0247
0.02970
0.00115
0.1110
6.32
0.901
7.87
10.1
36
15
0.0228
0.01570
0.00191
0.0590
14.90
0.904
16.60
18.6
37
19
0.0250
0.01330
0.00330
0.0538
19.40
0.909
21.10
23.0
38
20
0.0254
0.01270
0.00396
0.0527
20.40
0.919
22.20
24.1
39
34
0.0314
0.00766
0.01640
0.0467
36.10
0.933
38
39.9
40
100
0.0371
0.00342
0.03040
0.0442
114
4.330
119
129.0
41
90
0.0368
0.00349
0.03000
0.0440
102
3.890
107
116.0
42
136
0.0379
0.00332
0.03180
0.0446
155
5.860
162
176.0
43
95
0.0369
0.00345
0.03030
0.0440
108
4.110
113
123.0
44
11.5
0.0234
0.01610
0.00156
0.0610
12.60
1.510
14.80
18.4
45
31
0.0320
0.00717
0.01750
0.0460
37.50
2.160
41.10
45.9
46
11.5
0.0233
0.01610
0.00142
0.0612
12.60
1.540
14.80
18.5
47
23
0.0293
0.00981
0.00921
0.0486
27
1.900
30.10
34.4
48
22
0.0288
0.01010
0.00840
0.0489
25.70
1.860
28.80
32.9
49
62
0.0356
0.00408
0.02800
0.0442
72.70
2.400
76.80
82.3
50
52
0.0348
0.00466
0.02570
0.0442
60.60
2.110
64.20
69.1
51
46
0.0343
0.00513
0.02420
0.0443
53.40
1.910
56.70
61.1
52
42
0.0337
0.00564
0.02260
0.0449
48.60
1.820
51.70
55.8
53
42
0.0337
0.00562
0.02270
0.0447
48.30
2.340
51.70
57.7
54
53
0.0349
0.00452
0.02620
0.0441
61.40
2.850
65.50
72.9
55
38
0.0330
0.00626
0.02020
0.0451
43.40
2.190
46.70
52.1
56
30
0.0310
0.00790
0.01520
0.0467
33.80
1.880
36.70
41.2
57
16
0.0244
0.01380
0.00259
0.0549
17.10
1.400
19.30
22.5
58
110
0.0375
0.00333
0.03110
0.0442
134
2.400
139
143.0
59
85
0.0368
0.00346
0.03000
0.0439
103
1.950
107
111.0
60
68
0.0360
0.00382
0.02900
0.0440
82
1.700
85.50
88.8
61
86
0.0368
0.00347
0.02990
0.0439
104
1.980
108
112.0
62
87
0.0368
0.00347
0.03020
0.0440
106
1.990
110
113.0
63
56
0.0347
0.00470
0.02570
0.0444
61
1.290
63.20
66.1
64
19
0.0252
0.01320
0.00344
0.0537
19.40
0.974
21.20
23.3
65
35
0.0317
0.00737
0.01760
0.0466
37.40
1.080
39.30
41.7
66
23
0.0272
0.01130
0.00655
0.0510
23.80
0.995
25.70
27.9
67
89
0.0373
0.00338
0.03070
0.0441
119
5.220
131
139.0
68
30
0.0324
0.00698
0.01810
0.0458
38.30
2.350
42.70
47.5
69
72
0.0367
0.00353
0.02970
0.0439
95.80
4.270
105
112.0
70
76
0.0368
0.00347
0.03000
0.0439
101
4.480
111
118.0
71
89
0.0372
0.00337
0.03060
0.0439
119
5.200
131
139.0
72
67
0.0362
0.00379
0.02890
0.0439
79.40
7.690
90.50
107.0
73
66
0.0361
0.00382
0.02890
0.0440
78.20
7.580
89.10
105.0
74
59
0.0358
0.00405
0.02790
0.0439
69.80
6.750
79.50
93.8
75
12
0.0236
0.01600
0.00174
0.0595
13
1.810
15.50
20.0
76
10.5
0.0241
0.01600
0.00158
0.0606
12.10
1.700
14.60
18.6
77
10.5
0.0238
0.01600
0.00174
0.0613
12.10
1.720
14.60
18.7
78
90
0.0369
0.00351
0.03020
0.0442
103
6.610
110
127.0
79
83
0.0366
0.00352
0.02980
0.0439
94.60
6.100
102
117.0
80
42
0.0332
0.00596
0.02150
0.0450
45.80
0.995
47.80
49.8
81
29
0.0301
0.00899
0.01260
0.0486
30.90
0.981
32.80
34.8
82
15
0.0229
0.01570
0.00167
0.0592
15.10
0.937
16.80
18.9
83
13
0.0222
0.01710
0.00158
0.0634
12.90
0.912
14.60
16.7
84
87
0.0373
0.00332
0.03090
0.0441
126
4.120
135
142.0
85
80
0.0371
0.00338
0.03050
0.0441
115
3.850
124
131.0
86
96
0.0375
0.00331
0.03130
0.0442
139
4.510
149
157.0
87
79
0.0370
0.00340
0.03040
0.0441
114
3.810
122
129.0
88
1.5
0.0334
0.01330
0.00934
0.0552
4.67
30.600
40.60
117.0
89
6
0.0322
0.00795
0.00788
0.0411
16.10
29.900
57.30
128.0
90
5.8
0.0324
0.00789
0.00833
0.0413
16.10
29.800
57
127.0
91
5.3
0.0329
0.00791
0.00828
0.0415
14.50
30.100
55.60
127.0
92
0.1
0.0400
0.01980
0.02960
0.0508
3.58
33.200
48.70
126.0
93
5. 5
0.0352
0.00891
0.00920
0.0459
13.80
25.500
46.40
109.0
94
8.9
0.0337
0.00757
0.01130
0.0431
23.30
27.700
65.30
130.0
95
9.1
0.0337
0.00747
0.01170
0.0433
24.10
27.700
66.20
131.0
96
6.6
0.0346
0.00839
0.00969
0.0449
16.80
26.300
52.50
115.0
97
6.7
0.0342
0.00740
0.01080
0.0415
18.50
27.800
60.40
124.0
98
7.1
0.0339
0.00737
0.01090
0.0414
19.50
28
61.70
126.0
99
5.7
0.0348
0.00766
0.01030
0.0422
15.50
27.600
54.60
120.0
100
7.9
0.0334
0.00723
0.01090
0.0409
21.40
28.400
65.20
130.0
101
2.5
0.0369
0.01050
0.01480
0.0472
7.87
31.700
46.70
124.0
102
5.6
0.0335
0.00940
0.00978
0.0435
15.30
30
54.80
127.0
103
4.3
0.0347
0.00977
0.01070
0.0446
12
30
51.20
123.0
104
2.2
0.0365
0.00699
0.01560
0.0452
8.51
31.200
52
125.0
105
8.3
0.0305
0.00813
0.00697
0.0400
22
30.300
66
134.0
106
3
0.0355
0.00729
0.01360
0.0440
10.20
30.600
53
124.0
107
6
0.0325
0.01070
0.00469
0.0472
10
29.100
36.10
114.0
108
6.9
0.0328
0.00778
0.00936
0.0417
18.40
29.700
59
129.0
109
4.5
0.0347
0.00779
0.01060
0.0435
12.40
30
50.60
123.0
110
4.5
0.0348
0.00771
0.01100
0.0435
12.40
30
50.50
123.0
111
5.7
0.0337
0.00777
0.00965
0.0425
15.30
29.600
54.90
125.0
112
5
0.0344
0.00901
0.00784
0.0460
11.50
28.100
45.50
115.0
113
8.5
0.0325
0.00845
0.00810
0.0429
19.10
29
60.10
128.0
114
5.4
0.0340
0.00821
0.00855
0.0423
14.70
29
56.70
123.0
115
6.5
0.0332
0.00808
0.00838
0.0417
17.60
29.400
61.30
128.0
116
3.1
0.0361
0.00776
0.01200
0.0443
9.68
29.200
48.60
117.0
117
8.2
0.0323
0.00772
0.00878
0.0408
23
29.900
69.20
136.0
118
3
0.0327
0.00630
0.01400
0.0410
11.60
30.300
56
126.0
119
1.8
0.0345
0.00533
0.01990
0.0425
10.10
31.400
59
129.0
120
2.8
0.0330
0.00616
0.01500
0.0414
11.20
30.600
57.20
126.0
121
7.1
0.0325
0.01040
0.00460
0.0462
11.70
28.200
40.10
113.0
122
6.4
0.0300
0.00811
0.00656
0.0395
17.40
30
58.20
128.0
123
2.2
0.0355
0.00605
0.01800
0.0437
9.79
31.200
56.10
127.0
124
3.6
0.0333
0.00696
0.01190
0.0420
11.80
30.600
56.10
127.0
125
2.4
0.0370
0.01020
0.01400
0.0483
7.55
30.700
44.20
120.0
126
5.1
0.0340
0.00948
0.00973
0.0450
14
29.600
52
124.0
127
6.6
0.0330
0.00933
0.00822
0.0441
17.20
29.600
57.70
127.0
128
4.7
0.0343
0.00956
0.01010
0.0454
13
29.500
51.30
121.0
129
2.0
0.0368
0.00755
0.01520
0.0495
6.02
32.400
47.40
123.0
130
6.4
0.0318
0.00870
0.00711
0.0435
13.90
30.800
52.70
126.0
131
1.5
0.0376
0.01080
0.01680
0.0517
4.67
33.100
47.30
125.0
132
0.8
0.0373
0.02200
0.02680
0.0464
6.55
32.900
57.40
130.0
133
2.0
0.0353
0.00668
0.01820
0.0442
8.45
31.600
55.30
127.0
134
3.2
0.0335
0.00730
0.01230
0.0426
10.40
30.800
53.90
127.0
135
0.9
0.0397
0.00649
0.02330
0.0481
5.18
31.600
45.90
123.0
136
8.3
0.0318
0.00748
0.00887
0.0402
22.40
30.100
68.90
137.0
137
5.1
0.0342
0.00739
0.01060
0.0423
14.70
29.800
57.20
127.0
138
7.5
0.0323
0.00747
0.00918
0.0405
20.60
29.700
65.40
132.0


Table C3. Plot variables.

plot
x(o)
x
SE
0.025
0.975
1
0.22350
0.18710
0.016980
0.18710
0.25520
2
0.63800
0.61020
0.013820
0.61020
0.66480
3
0.22200
0.17220
0.025170
0.17220
0.26740
4
0.74550
0.74000
0.002781
0.74000
0.75100
5
0.75700
0.62990
0.059600
0.62990
0.86410
6
0.40050
0.33290
0.037750
0.33290
0.48530
7
0.78400
0.77060
0.006839
0.77060
0.79770
8
0.75000
0.71090
0.019290
0.71090
0.78740
9
0.32950
0.33430
0.101300
0.33430
0.68140
10
0.30050
0.23010
0.033950
0.23010
0.36280
11
0.41350
0.32450
0.046070
0.32450
0.50020
12
0.41800
0.28140
0.065030
0.28140
0.53790
13
0.38000
0.35500
0.013610
0.35500
0.40820
14
0.71750
0.56370
0.067310
0.56370
0.83210
15
0.15600
0.20590
0.022050
0.20590
0.30130
16
0.23450
0.18340
0.094150
0.18340
0.51680
17
0.22650
0.22080
0.002839
0.22080
0.23210
18
0.29300
0.27260
0.103400
0.27260
0.68110
19
0.65800
0.64450
0.006731
0.64450
0.67120
20
0.19900
0.18840
0.007894
0.18840
0.21800
21
0.05567
0.01868
0.023770
0.01868
0.11400
22
0.04000
0.03364
0.004832
0.03364
0.05035
23
0.09400
0.04362
0.005398
0.04362
0.06009
24
0.06067
0.04105
0.003116
0.04105
0.05213
25
0.09067
0.03807
0.010940
0.03807
0.06178
26
0.05433
0.03589
0.004918
0.03589
0.05376
27
0.06867
0.02515
0.028720
0.02515
0.13890
28
0.03800
0.03659
0.004542
0.03659
0.05330
29
0.04000
0.03593
0.016890
0.03593
0.07747
30
0.04200
0.03619
0.003310
0.03619
0.04944
31
0.04733
0.03384
0.003269
0.03384
0.04482
32
0.04233
0.01862
0.030810
0.01862
0.13730
33
0.03333
0.03486
0.005635
0.03486
0.05036
34
0.09567
0.03640
0.009551
0.03640
0.06366
35
0.08567
0.03643
0.013000
0.03643
0.08501
36
0.07300
0.03337
0.007792
0.03337
0.06383
37
0.06400
0.03822
0.003035
0.03822
0.04893


Table C4. Posterior means, standard errors, and 95% credible intervals for the light availability for Acer data.

Parameters
Posterior mean
SE
0.025
0.975
b0
-59.6
6.29
-72
-47.5000
b1
90.4
8.49
73.7000
107
G
30.7
2.40
25.9000
35.3000
x0
0.0410
0.00152
0.0380
0.0439
theta
0.0212
0.000529
0.0204
0.0221
var
0.2890
0.270
0.0398
1.0300
V11
3430
620
2390
4780
V22
7330
1160
5350
9860
V12
-5010
847
-6850
-3570

Table C5. Posterior means, standard errors, and 95% credible intervals for individual plants in the hierarchical analysis.

     
x0
     
G
   
plant
yij
mean
SE
0.025
0.975
mean
SE
0.025
0.975
Marginalized over all plants
           
0

13.30

0.0416
0.01400
0.01190
0.0674
27.70000
25.800
3.83
93.20
Individual plants
           
1
7.5
0.0371
0.0183
0.00397
0.0724
7.96
1.27
9.94
12.90
2
11
0.0379
0.0146
0.00749
0.0646
12.1
1.44
14.6
17.70
3
2.5
0.0538
0.0328
0.00328
0.119
2.18
1.02
3.72
6.19
4
17
0.0399
0.0101
0.0184
0.0578
19.8
1.58
22.8
26.10
5
6.5
0.0376
0.0197
0.00343
0.0774
6.73
1.23
8.66
11.50
6
5
0.0401
0.0224
0.0029
0.085
5.0
1.16
6.78
9.45
7
6
0.0373
0.0244
0.00242
0.0925
5.4
0.633
6.63
7.99
8
4
0.0435
0.0321
0.00249
0.119
3.34
0.617
4.51
5.84
9
4
0.0427
0.0318
0.00241
0.120
3.34
0.631
4.5
5.89
10
4
0.0436
0.0323
0.00256
0.120
3.33
0.627
4.52
5.89
11
1
0.0361
0.0178
0.00453
0.0727
9.69
0.675
11
12.40
12
9
0.0373
0.0165
0.0045
0.0677
9.68
1.50
12
15.50
13
7
0.0379
0.0189
0.00343
0.0735
7.34
1.38
9.41
12.70
14
1
0.0375
0.0154
0.00614
0.0658
10.9
1.57
13.4
17
15
14.5
0.0392
0.0114
0.0142
0.0596
16.6
1.79
19.5
23.60
16
8
0.0376
0.0177
0.00381
0.0708
8.53
1.44
10.7
14
17
17.5
0.040
0.00952
0.0197
0.0573
20.6
1.91
23.7
28.10
18
6
0.0375
0.0246
0.00245
0.0933
5.34
0.613
6.54
7.84
19
18
0.0389
0.0112
0.0167
0.0607
18.2
0.662
19.5
20.90
20
33
0.0415
0.00632
0.0291
0.054
34.6
0.673
35.9
37.30
21
4
0.0442
0.0329
0.00249
0.123
3.27
0.611
4.44
5.77
22
29
0.041
0.00715
0.0267
0.0548
30.2
0.668
31.6
32.90
23
26
0.0407
0.00792
0.0250
0.0562
26.9
0.669
28.3
29.60
24
23
0.0402
0.00883
0.0227
0.0577
23.7
0.668
25
26.40
25
29
0.0411
0.00718
0.0271
0.0554
30.2
0.694
31.5
32.90
26
17
0.0387
0.0119
0.0148
0.0618
17.1
0.67
18.4
19.80
27
25
0.0405
0.00821
0.0244
0.0567
25.8
0.686
27.2
28.60
28
2
0.0396
0.0102
0.0193
0.0595
20.4
0.688
21.7
23.10
29
17
0.0387
0.0118
0.0149
0.0618
17.1
0.674
18.4
19.80
30
16
0.0384
0.0127
0.0129
0.063
16.0
0.661
17.3
18.70
31
16
0.0386
0.0127
0.0133
0.0632
16.0
0.673
17.4
18.70
32
49
0.0426
0.00428
0.0341
0.0509
55.0
1.29
57.4
60.0
33
57
0.0428
0.00384
0.0353
0.0503
64.2
1.42
66.8
69.70
34
16
0.0387
0.0119
0.0141
0.0614
16.8
0.916
18.6
20.50
35
8
0.0432
0.00315
0.0373
0.0495
90.5
1.81
93.9
97.50
36
45
0.0424
0.00456
0.0335
0.0513
50.4
1.22
52.7
55.20
37
52
0.0426
0.0041
0.0347
0.0506
58.4
1.34
60.9
63.70
38
26
0.0408
0.00793
0.0253
0.0565
26.8
0.656
28.2
29.50
39
33
0.0414
0.00635
0.0290
0.054
34.4
0.658
35.8
37.10
40
33
0.0415
0.00637
0.0291
0.0541
34.4
0.66
35.8
37.10
41
26
0.0407
0.00798
0.0248
0.0562
26.9
0.653
28.2
29.50
42
6
0.0374
0.0251
0.00225
0.0951
5.34
0.615
6.51
7.85
43
34
0.0415
0.0062
0.0295
0.0538
35.5
0.657
36.9
38.20
44
22
0.040
0.00931
0.0216
0.0586
22.5
0.661
23.8
25.20
45
23
0.0402
0.00883
0.0224
0.0573
23.7
0.665
25
26.30
46
1
0.1080
0.0015
0.00321
0.4080
0.242
0.579
1.30
2.59
47
12
0.0370
0.01610
0.00606
0.0691
11.70
0.652
13
14.30
48
9
0.0361
0.01940
0.00363
0.0774
8.49
0.642
9.74
11.10
49
11
0.0363
0.01700
0.00516
0.0705
10.60
0.649
11.90
13.30
50
15
0.0381
0.01340
0.01120
0.0640
15
0.652
16.30
17.60
51
94
0.0434
0.00293
0.03790
0.0491
103
2.910
108
115.0
52
65
0.0429
0.00358
0.03610
0.0501
71.30
2.080
74.60
79.30
53
49
0.0426
0.00440
0.03390
0.0510
53.50
1.640
56.20
59.90
54
49
0.0425
0.00431
0.03410
0.0510
53.50
1.640
56.20
60
55
58
0.0428
0.00385
0.03530
0.0504
63.50
1.890
66.60
70.90
56
56
0.0427
0.00393
0.03500
0.0504
61.30
1.820
64.30
68.30
57
10.50
0.0373
0.01590
0.00626
0.0676
11
1.140
13
15.40
58
13.50
0.0383
0.01310
0.01040
0.0622
14.50
1.220
16.70
19.30
59
5
0.0400
0.02390
0.00280
0.0906
4.79
0.930
6.29
8.48
60
13
0.0382
0.01360
0.00991
0.0631
14
1.190
16.10
18.70
61
6
0.0376
0.02200
0.00287
0.0839
5.87
0.978
7.48
9.71
62
7.50
0.0372
0.01930
0.00355
0.0762
7.55
1.020
9.27
11.60
63
34
0.0417
0.00578
0.03050
0.0531
37.80
1.150
39.90
42.30
64
27
0.0411
0.00718
0.02660
0.0548
29.70
1.060
31.60
33.90
65
22
0.0403
0.00877
0.02260
0.0570
23.90
1
25.70
27.80
66
6
0.0376
0.02310
0.00280
0.0886
5.66
0.775
7.02
8.76
67
11
0.0372
0.01620
0.00625
0.0689
11.20
0.881
12.80
14.70
68
19
0.0396
0.01010
0.01920
0.0589
20.40
0.973
22.20
24.20
69
6
0.0380
0.02330
0.00248
0.0888
5.67
0.783
7.03
8.79
70
1
0.0986
0.75600
0.00390
0.3040
0.29800
0.715
1.53
3.23
71
21
0.0402
0.00913
0.02160
0.0576
22.60
1.140
24.50
27.10
72
4
0.0427
0.02920
0.00237
0.1090
3.53
0.740
4.80
6.49
73
49
0.0425
0.00431
0.03430
0.0511
54.70
1.920
57.60
62.20
74
10
0.0368
0.01720
0.00485
0.0708
10
0.913
11.60
13.60
75
18
0.0394
0.01050
0.01780
0.0592
19.10
1.070
21
23.40
76
74
0.0431
0.00326
0.03690
0.0495
85.80
1.130
88
90.30
77
78
0.0432
0.00314
0.03730
0.0495
90.60
1.160
92.80
95.20
78
65
0.0430
0.00350
0.03630
0.0499
75.20
1.070
77.30
79.50
79
27
0.0411
0.00716
0.02670
0.0548
30.10
0.936
31.90
33.80
80
59
0.0428
0.00372
0.03550
0.0502
68.10
1.050
70.10
72.20
81
57
0.0428
0.00380
0.03560
0.0504
65.80
1.040
67.80
69.90
82
24
0.0403
0.00844
0.02370
0.0569
24.80
0.713
26.20
27.70
83
12
0.0368
0.01590
0.00687
0.0684
11.70
0.676
13.10
14.50
84
25
0.0406
0.00817
0.02440
0.0568
25.90
0.721
27.30
28.80
85
38
0.0418
0.00556
0.03100
0.0528
40.10
0.781
41.60
43.20
86
61
0.0429
0.00354
0.03620
0.0499
71.80
2.320
75.10
81.30
87
73
0.0431
0.00320
0.03700
0.0494
86.20
2.710
90
97.40
88
48
0.0426
0.00425
0.03420
0.0509
56.20
1.920
59
63.90
89
67
0.0430
0.00337
0.03660
0.0496
79
2.530
82.50
89.30
90
47
0.0425
0.00423
0.03430
0.0508
55
1.900
57.80
62.60
91
54
0.0428
0.00384
0.03530
0.0504
63.40
2.100
66.50
71.90
92
50
0.0426
0.00411
0.03470
0.0507
58.60
1.990
61.50
66.60
93
45
0.0425
0.00437
0.03390
0.0509
50.60
3.060
56.10
62.90
94
21
0.0403
0.00870
0.02250
0.0567
23.10
1.700
26
29.90
95
7
0.0373
0.02030
0.00331
0.0790
6.95
1.060
8.58
11.10
96
42
0.0424
0.00466
0.03320
0.0514
47.20
2.890
52.40
58.80
97
22
0.0405
0.00835
0.02330
0.0561
24.30
1.750
27.20
31.20
98
44
0.0424
0.00445
0.03350
0.0509
49.50
2.990
54.90
61.40
99
1
0.0888
0.21600
0.00519
0.2070
0.49700
0.930
1.93
4.15
100
5.5
0.0389
0.02170
0.00293
0.0831
5.56
1.120
7.33
9.89
101
1
0.0896
0.48400
0.00553
0.2070
0.49100
0.924
1.94
4.11
102
0.5
0.1190
0.73900
-0.02500
0.3400
-0.00920
0.924
1.36
3.61
103
4.5
0.0408
0.02370
0.00305
0.0893
4.43
1.070
6.09
8.58
104
0.5
0.1190
1.32
-0.02510
0.3220
-0.00315
0.916
1.36
3.58
105
66
0.0430
0.00347
0.03620
0.0497
72.30
3.510
77.30
85.20
106
55
0.0428
0.00394
0.03510
0.0504
60.10
2.960
64.40
71
107
68
0.0431
0.00342
0.03630
0.0497
74.50
3.610
79.60
87.70
108
88
0.0434
0.00300
0.03760
0.0491
96.50
4.650
103
113
109
6
0.0379
0.02340
0.00253
0.0890
5.60
0.821
7
8.90
110
13
0.0380
0.01420
0.00928
0.0652
13.30
1.070
15.10
17.50
111
55
0.0427
0.00394
0.03510
0.0504
60.10
2.960
64.30
71.10
112
13
0.0373
0.01490
0.00793
0.0664
12.90
0.690
14.20
15.60
113
14
0.0377
0.01400
0.01010
0.0650
14.0
0.686
15.30
16.70
114
13
0.0373
0.01490
0.00865
0.0669
12.90
0.686
14.20
15.60
115
20
0.0396
0.01010
0.01930
0.0592
20.60
0.691
22
23.40
116
3
0.0508
0.04060
0.00261
0.1480
2.28
0.614
3.43
4.76
117
42
0.0425
0.00420
0.03410
0.0506
55.20
1.860
58.80
62.60
118
54
0.0428
0.00356
0.03590
0.0498
71.80
2.080
75.80
80
119
65
0.0430
0.00320
0.03690
0.0493
86.90
2.260
91.30
95.80
120
62
0.0429
0.00328
0.03660
0.0493
82.70
2.200
87.10
91.50
121
67
0.0431
0.00317
0.03700
0.0493
89.70
2.310
94.10
98.90
122
38
0.0423
0.00457
0.03320
0.0511
49.60
1.810
53.10
56.80
123
55
0.0428
0.00349
0.03600
0.0496
73.10
2.080
77.20
81.40
124
60
0.0430
0.00330
0.03660
0.0493
80.0
2.150
84.30
88.60
125
1.1
0.0456
0.01380
0.02120
0.0605
2.47
19.0
23.80
72.10
126
4.6
0.0400
0.00926
0.01210
0.0513
7.70
19.900
32.50
81
127
0.9
0.0460
0.02690
0.02520
0.0612
2.37
19.200
24.20
72
128
2.5
0.0428
0.00902
0.01490
0.0552
4.59
19.500
27.60
75.90
129
1.4
0.0453
0.01500
0.01290
0.0660
2.35
16.500
15.60
62.80
130
7.6
0.0391
0.01010
0.01020
0.0520
11.70
17.900
32.0
79.80
131
2.7
0.0406
0.00976
0.01370
0.0556
4.88
19.700
27.90
76.40
132
2.6
0.0408
0.00993
0.01320
0.0560
4.70
19.700
28.10
76.70
133
1.7
0.0424
0.00991
0.01670
0.0596
3.35
20
26.70
76.80
134
0.1
0.0445
0.07600
0.02700
0.0723
1.51
20
25.10
74.20
135
3.7
0.0382
0.01060
0.00861
0.0531
6.32
19.400
28.50
76.80
136
1.7
0.0422
0.00763
0.01930
0.0511
4.17
20.500
31.20
80.30
137
2.2
0.0412
0.00829
0.01620
0.0502
4.74
20.500
32
80.30
138
3.5
0.0393
0.00844
0.01260
0.0484
6.73
20.100
33.90
80.90
139
1.7
0.0422
0.00947
0.01990
0.0511
4.22
20.600
30.70
80.90
140
2.4
0.0403
0.00826
0.01530
0.0499
5.28
20.400
31.30
80.60
141
2
0.0410
0.00820
0.01600
0.0509
4.46
20.400
30.70
79.60
142
1.2
0.0423
0.00766
0.02040
0.0528
3.46
20.900
29.60
80.20
143
1
0.0444
0.00839
0.02640
0.0514
3.35
20.600
30.70
80
144
4.8
0.0383
0.00836
0.01170
0.0463
9.21
20.500
37.60

85.60

145
2.4
0.0416
0.00752
0.01710
0.0486
5.41
20.500
32.80
81.30
146
3.2
0.0403
0.00785
0.01520
0.0476
6.95
20.700
34.70
83.70
147
5.1
0.0379
0.00852
0.01090
0.0458
9.59
20.400
38.30
85.70
148
2.2
0.0410
0.00804
0.01710
0.0522
5.07
20.600
31.60
81.30
149
2.5
0.0406
0.00808
0.01520
0.0517
5.23
20.400
31.80
80.70
150
5
0.0375
0.00891
0.01040
0.0487
8.97
20
36.30
83.70
151
3.2
0.0395
0.00845
0.01290
0.0506
6.29
20.400
32.60
81.80
152
1
0.0432
0.00687
0.02640
0.0556
3.13
20.900
29.60
79.70
153
2.9
0.0400
0.00794
0.01500
0.0494
6.11
20.400
33.20
82.60
154
5.4
0.0369
0.00876
0.01030
0.0470
10
20.200
38.30
85.20
155
1.4
0.0426
0.00686
0.02270
0.0516
4.01
20.600
31.50
80.50
156
1.6
0.0422
0.00687
0.02190
0.0514
4.43
20.800
31.10
80.40
157
1.6
0.0422
0.00689
0.02200
0.0514
4.33
20.500
31
80.20
158
3.4
0.0390
0.00871
0.01330
0.0508
6.37
21
33.20
83.40
159
2.5
0.0404
0.00865
0.01430
0.0529
4.97
21.100
32.10
83.40
160
1.3
0.0425
0.03120
0.02290
0.0569
3.45
21.400
31
81.80
161
3.7
0.0386
0.00886
0.01180
0.0503
6.81
20.900
33.70
83.80
162
2.2
0.0420
0.00711
0.01830
0.0469
5.21
20.700
33.10
82.50
163
1.4
0.0433
0.00695
0.02330
0.0479
4.23
20.600
31.80
81.20
164
3.1
0.0406
0.00764
0.01480
0.0460
6.59
20.600
34.80
83.90
165
2.6
0.0413
0.00748
0.01580
0.0465
5.81
20.600
34.20
83.10
166
1.7
0.042
0.0115
0.0208
0.047
4.6
20.60
32.5
80.60
167
0.2
0.043
0.0154
0.0345
0.052
2.8
21.50
33.4
83.50
168
4.1
0.036
0.0085
0.0098
0.045
7.7
20.50
3
83.40
169
0.5
0.042
0.0395
0.0319
0.051
3.3
21.50
33.1
83.90
170
1.4
0.040
0.0066
0.0223
0.049
4.2
21.20
33.7
83.10
171
1.6
0.043
0.0121
0.0185
0.052
3.8
1
27.3
74.60
172
7.4
0.037
0.0086
0.0105
0.047
13.6
20.10
44.8
89.90
173
3.1
0.041
0.0086
0.0142
0.050
6.3
18.80
31.4
76.10
174
2.9
0.041
0.0087
0.0132
0.050
5.8
19.20
3
77.20
175
2.4
0.042
0.0084
0.0154
0.051
5.1
18.80
29.2
75.20
176
4.6
0.036
0.0082
0.0095
0.045
8.5
20.70
36.3
85.70
177
1.6
0.040
0.0061
0.0217
0.048
4.8
20.90
3
82.60
178
0.8
0.042
0.0
0.0276
0.050
3.4
21.50
33.8
83.20
179
2.7
0.039
0.0071
0.0153
0.046
6.0
21.10
34.9
85.10
180
0.3
0.046
0.0202
0.0350
0.060
1.9
20.20
27.4
76.30
181
1.8
0.043
0.0801
0.0197
0.053
4.1
20.30
30.2
80
182
2.6
0.041
0.0080
0.0164
0.051
5.5
20.20
3
80.20
183
6.1
0.037
0.0087
0.0113
0.047
11.1
20.90
40.4
89.40
184
1.6
0.043
0.0074
0.0210
0.053
3.9
20.20
3
78.20
185
1.9
0.038
0.0080
0.0127
0.047
4.7
20.40
31.6
80.30
186
1.3
0.040
0.0084
0.0165
0.048
3.9
20.70
31.3
80.90
187
0.1
0.042
0.0717
0.0235
0.052
2.4
21.20
30.9
80.80
188
2.6
0.037
0.0084
0.0111
0.046
5.6
19.90
31.3
78.90
189
22.5
0.041
0.0037
0.0326
0.047
56.3
13.10
78.5
107
190
0.8
0.056
0.2120
0.0141
0.070
1.2
6.76
8.1
26.30
191
1.6
0.051
0.0145
0.0096
0.063
2.3
7.27
9.8
29.40
192
7.6
0.041
0.0101
0.0116
0.052
11.9
9.70
26.6
49.10
193
10.4
0.040
0.0093
0.0148
0.052
14.3
14.10
30.7
67.20
194
5.1
0.042
0.0132
0.0065
0.058
6.7
10.40
1
44.90
195
8.2
0.040
0.0110
0.0099
0.054
10.9
12.40
2
56.70
196
2.8
0.040
0.0118
0.0092
0.060
4.0
19.40
23.5
74.70
197
2.9
0.040
0.0120
0.0088
0.060
4.1
19.60
23.5
74.70
198
7.1
0.040
0.0089
0.0126
0.049
1
16.70
35.2
74.80
199
2.9
0.044
0.0106
0.0110
0.054
4.7
13.90
20.2
55.90
200
 
0.041
0.0094
0.0118
0.050
9.8
15.90
30.8
69.50
201
3.5
0.043
0.0105
0.0103
0.053
5.7
14.50
22.2
59.70
202
6.9
0.040
0.0090
0.0121
0.049
11.5
16.40
3
73.10
203
0.6
0.046
0.0155
0.0273
0.059
2.1
19.70
23.5
74.10
204
1.5
0.044
0.0085
0.0179
0.055
3.2
19.70
25.4
76.10
205
0.9
0.045
0.0081
0.0241
0.057
2.5
19.70
24.2
75.30
206
2.9
0.041
0.0087
0.0140
0.052
5.4
19.50
28.8
77.90
207
1.2
0.044
0.0228
0.0223
0.056
3.1
19.60
24.9
75.50
208
2.2
0.039
0.0070
0.0170
0.046
5.4
2
33.7
83.40
209
1.9
0.040
0.0068
0.0182
0.047
4.8
2
33.6
82.90
210
1.1
0.041
0.0085
0.0256
0.048
4.1
21.50
33.3
83.90
211
1.3
0.041
0.0062
0.0223
0.048
3.9
21.40
33.5
83.20
212
5.9
0.034
0.0090
0.0068
0.043
10.4
20.40
36.7
86.10
213
0.9
0.044
0.0139
0.0264
0.060
2.6
21.10
28.5
79.70
214
2.4
0.041
0.0083
0.0161
0.053
4.9
20.90
30.6
82.20
215
1.5
0.043
0.0084
0.0208
0.057
3.5
21.30
29.3
80.40
216
1.7
0.042
0.0082
0.0188
0.055
3.8
21.30
29.6
81
217
4.2
0.039
0.0087
0.0127
0.050
7.6
20.80
33.8
84.60
218
1.7
0.049
0.0151
0.0091
0.070
2.3
9.53
9.0
38.20
219
20.7
0.040
0.0049
0.0302
0.049
41.3
19.40
62.1
114
220
4.4
0.042
0.0133
0.0064
0.060
6.0
10.80
14.7
47.60
221
2.1
0.047
0.0149
0.0078
0.068
2.8
9.89
9.6
39.90
222
2.6
0.0461
0.01440
0.00751
0.0657
3.58
9.990
10.90
41.50


Table C6. Plot variables.

plot
x(o)
x
SE
0.025
0.975
1
0.22350
0.18570
0.017030
0.18570
0.25370
2
0.63800
0.61060
0.013570
0.61060
0.66510
3
0.22200
0.15940
0.028480
0.15940
0.27150
4
0.74550
0.74000
0.002770
0.74000
0.75100
5
0.75700
0.63430
0.057540
0.63430
0.86260
6
0.40050
0.34920
0.042440
0.34920
0.51600
7
0.78400
0.77100
0.006674
0.77100
0.79740
8
0.75000
0.71130
0.018980
0.71130
0.78710
9
0.32950
0.34740
0.081990
0.34740
0.66310
10
0.30050
0.22680
0.034930
0.22680
0.36110
11
0.41350
0.32300
0.044850
0.32300
0.50170
12
0.41800
0.28660
0.066050
0.28660
0.53970
13
0.38000
0.35610
0.013090
0.35610
0.40830
14
0.71750
0.57100
0.067700
0.57100
0.83960
15
0.15600
0.23900
0.036190
0.23900
0.38300
16
0.23450
0.21290
0.074310
0.21290
0.53820
17
0.22650
0.22060
0.002810
0.22060
0.23190
18
0.29300
0.27260
0.107000
0.27260
0.67400
19
0.65800
0.64470
0.006686
0.64470
0.67160
20
0.19900
0.18680
0.008005
0.18680
0.21700
21
0.05567
0.04465
0.011370
0.04465
0.08705
22
0.04000
0.03279
0.017540
0.03279
0.09622
23
0.09400
0.03894
0.016450
0.03894
0.09463
24
0.06067
0.03214
0.013560
0.03214
0.08559
25
0.09067
0.04121
0.006942
0.04121
0.07023
26
0.05433
0.03675
0.006753
0.03675
0.06545
27
0.05400
0.04152
0.003307
0.04152
0.05582
28
0.06867
0.04131
0.004983
0.04131
0.06182
29
0.03800
0.04279
0.003576
0.04279
0.05584
30
0.04000
0.04134
0.009075
0.04134
0.07197
31
0.04200
0.03539
0.002834
0.03539
0.05206
32
0.04733
0.03909
0.003087
0.03909
0.05046
33
0.03867
0.03285
0.004839
0.03285
0.05887
34
0.04833
0.04139
0.002461
0.04139
0.05196
35
0.04233
0.04386
0.005090
0.04386
0.06259
36
0.03333
0.02536
0.005396
0.02536
0.05114
37
0.07100
0.05995
0.004274
0.05995
0.07523
38
0.07200
0.05415
0.026340
0.05415
0.14220
39
0.08800
0.03327
0.028450
0.03327
0.14930
40
0.09567
0.05112
0.007329
0.05112
0.07819
41
0.08567
0.04294
0.006373
0.04294
0.06549
42
0.05900
0.03967
0.002821
0.03967
0.05129
43
0.07300
0.04458
0.008388
0.04458
0.07122
44
0.06400
0.05186
0.012560
0.05186
0.10160


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