1
2
SUPPORTING INFORMATION
3
Additional supporting information may be found in the online version of this article:
4
5
Appendix S1 Vegetative reproduction types in the population dynamics of the three
6
Heteropsis species.
7
Appendix S2 Equations to calculate transition probabilities and per-capita
8
contributions of the three Heteropsis species.
9
Appendix S3 Population matrix models of the three Heteropsis species.
10
Appendix S4 Description and results of the statistical analyses.
11
Appendix S5 Stacked vital rates elasticities per stage of the three Heteropsis
12
species,
13
14
15
16
1
17
Appendix S1: We considered three frequent vegetative reproduction types in the
18
population dynamics of the three Heteropsis species: (A) an orthotropic branch dies
19
off (dotted line) and the individual survives in two parts (demographic process here
20
referred as K1); (B) a plagiotropic branch (horizontal branches bearing leaves in
21
planes along each axis) becomes a flagellar shoot, which climbs up a new host; after
22
the climber has produced a new anchoring root, the ramet separates from the ortet
23
(K2); and (C) the individual falls, with or without the host, and a plagiotropic branch
24
subsequently produces a stolon that climbs up new hosts, and eventually separates
25
(K3). Figure adapted from the supporting information in Balcázar-Vargas et al. 2012.
26
27
A
B
C
ORTET
RAMET
RAMET
ORTET
ORTET
RAMET
RAMET
28
2
29
Appendix S2: Equations to calculate transition probabilities and per-capita contributions of the three Heteropsis species, (A) Heteropsis
𝑃𝐹 = Stasis of
30
oblongifolia, (B) H. flexuosa, and (C) H. macrophylla. Refer to tables 2 and 3 in main text for full explanation of each process.
31
fallen plants,
32
Probability of vegetative reproduction type K3, from falling to unsuitable hosts,
33
falling to suitable hosts,
34
hosts,
35
unsuitable/suitable hosts + Probability of vegetative reproduction type K2, from unsuitable to unsuitable or from suitable to suitable hosts,
36
𝑅𝑁𝑆 + 𝐾1𝑁𝑆 + 𝐾2𝑁𝑆 = Shrinkage of individuals on unsuitable hosts + Probability of vegetative reproduction type K1 on unsuitable hosts +
37
Probability of vegetative reproduction type K2, from unsuitable to unsuitable hosts,
38
reproduction type K2, from unsuitable to unsuitable or unsuitable to suitable or suitable to unsuitable or suitable to suitable hosts,
39
𝑅𝑁𝑆/𝑆 + 𝐾1𝑁𝑆/𝑆 = Shrinkage of individuals on unsuitable/suitable hosts + Probability of vegetative reproduction type K1 on unsuitable/suitable
40
hosts,
41
+ Probability of vegetative reproduction type K1 on unsuitable/suitable hosts,
𝐺𝑆 + 𝐾2𝑆 = Growth of individuals on suitable hosts +
42
Probability of vegetative reproduction type K2 from suitable to suitable hosts,
𝐾1𝑆 + 𝐾2𝑆 = Probability of vegetative reproduction type K1 on
43
suitable hosts + Probability of vegetative reproduction type K2, from suitable to suitable hosts,
𝐹𝑙𝑙𝑁𝑆 = Probability of falling from unsuitable hosts,
𝐹𝑙𝑙𝑆 = Probability of falling from suitable hosts,
𝐾3𝐹−𝑁𝑆 =
𝐾3𝐹−𝑆 = Probability of vegetative reproduction type K3, from
𝑃𝑁𝑆/𝑆 = Stasis of individual on unsuitable/suitable hosts,
𝐺𝑁𝑆/𝑆 = Growth of individuals on unsuitable/suitable
𝑃𝑁𝑆/𝑆 + 𝐾1𝑁𝑆/𝑆 + 𝐾2𝑁𝑆/𝑆 = Stasis of individuals on unsuitable/suitable hosts + Probability of vegetative reproduction type K1 on
𝑅𝑁𝑆/𝑆 = Shrinkage of individuals on unsuitable/suitable hosts,
3
𝐾2𝑁𝑆−𝑁𝑆/ 𝑁𝑆−𝑆/ 𝑆−𝑁𝑆/ 𝑆−𝑆 = Probability of vegetative
𝑃𝑁𝑆/𝑆 + 𝐾1𝑁𝑆/𝑆 = Stasis of individual on unsuitable/suitable hosts
𝑅𝑁𝑆/𝑆 + 𝐾2𝑁𝑆/𝑆 = Shrinkage of individuals
44
45
on unsuitable/suitable hosts, + Probability of vegetative reproduction type K2, from unsuitable to unsuitable or from suitable to suitable hosts,
𝐹𝑁𝑆 = Fecundity of individuals on suitable hosts that recruit individuals on unsuitable hosts,
𝐹𝑆 = Fecundity of individuals on suitable
𝐹𝑆 + 𝐾1𝑆 = Fecundity of individuals on suitable hosts that recruit individuals on suitable
46
hosts that recruit individuals on suitable hosts,
47
hosts + Probability of vegetative reproduction type K1 on suitable hosts,
48
unsuitable/suitable hosts,
49
hosts.
𝐾1𝑁𝑆/𝑆 = Probability of vegetative reproduction type K1 on
𝐺𝑆 + 𝐾1𝑆 = Growth of individuals on suitable hosts + Probability of vegetative reproduction type K1 on suitable
4
On Host
Not on Host
A) H. oblongifolia
F
Fallen
ind.
Fallen ind.
Not
on
Host
Equations
F
Suitable Hosts
On Hosts
Unsuitable Host
1
50
0,01-0,25
Unsuitable Host
Suitable Host
1
2
3
4
5
1
2
3
4
5
6
7
8
9
10
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
>5,00
Fll NS3
Fll NS4
Fll NS5
Fll S1
Fll S2
Fll S3
Fll S4
Fll S5
Fll S6
Fll S7
Fll S8
Fll S9
Fll S10
K2 S-NS41
K2 S-NS51
F NS61
F NS71
F NS81
F NS91
F NS101
K2 S-NS52
F NS62
F NS72
F NS82
F NS92
F NS102
F S61 + K1S61
F S71
F S81
F S91
F S101
F S62
F S72
F S82
F S92
F S102
PF
Fll NS1
Fll NS2
K3 F-NS1
P NS11 + K1NS11+
K2 NS11
R NS21 +K1NS21+
K2 NS21
K2 NS31
G NS12
P NS22 + K1NS22+
K2 NS22
R NS32 +K1NS32+
K2 NS32
R NS42 +K1NS42
GNS23
P NS32
R NS43 +K1NS43
G NS34
P NS43
R NS54
G NS45
P NS55 + K1 NS55
2
0,26-0,5
K3 F-NS2
3
0,51-0,75
K3 F-NS3
4
0,76-1,0
5
1,01-1,5
1
0,01-0,25
K3 F-S1
K2S-NS54
K2 NS-S21
K2 NS-S52
P S11 + K S11
R S21 + K1 S21
GS12
P S22 + K1 S22
+K2 S22
K2 S41
R S31 + K1 S31
K1 S42 + K2 S42
R S52
G S23 + K2S23
P S33
R S43 + K1 S43
R S53 + K2S53
GS24
GS34 + K2S34
P S44
R S54
K1 S64 + K2 S64
R S74
GS25
GS34 + K2S35
GS45
P S55 + K1 S55
R S65
R S75
R S85
GS46
2
0,26-0,5
K3 F-S2
3
0,51-0,75
K3 F-S3
4
0,76-1,0
K3 F-S4
5
1,01-1,5
6
1,51-2,0
GS56
P S66
R S76
R S86
7
2,01-3,0
GS57
GS67
P S77 + K1S77
R S87
8
3,01-4,0
GS58
GS78
P S88
R S98
9
4,01-5,0
GS89
P S99
R S109
10
>5,00
G S910
P S1010 + K1S1010
K2 NS-S43
K2 NS-S35
K2 NS-S55
5
K1 S103
K1 S106
On Host
Not on Host
Equations
Fallen
ind.
Suitable Hosts
On Hosts
Unsuitable Host
Not on
Host
B) H. flexuosa
51
Unsuitable Host
Fallen ind.
Suitable Host
1
2
3
4
5
6
7
8
9
10
11
12
13
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
0.01-0.25
0.26-0.50
0.51-0.75
0.76-1.00
1.01-1.50
1.51-2.0
2.01-3.0
3.01-4.0
4.01-5.0
5.01-6.0
6.01-7.0
7.01-8.0
8.01-9.0
0.01-0.25
0.26-0.50
0.51-0.75
0.76-1.00
1.01-1.50
1.51-2.0
2.01-3.0
3.01-4.0
4.01-5.0
5.01-6.0
6.01-7.0
7.01-8.0
8.01-9.0
9.01-9.99
10.0-11.0
11.01-12.0
12.01-13.0
13.01-14.0
14.01-15.0
15.01-16.0
16.01-17.0
17.01-18.0
18.01-19.0
19.01-20.0
>20
Fll NS1
Fll NS2
Fll NS3
Fll NS4
Fll NS5
Fll NS6
Fll NS7
Fll NS8
Fll NS9
Fll NS10
Fll NS11
Fll NS12
Fll NS13
Fll S1
Fll S2
Fll S3
Fll S4
Fll S5
Fll S6
Fll S7
Fll S8
Fll S9
Fll S10
Fll S11
Fll S12
Fll S13
Fll S14
F
F
PF
1
0.01-0.25
K3 F-NS1
2
0.26-0.50
K3 F-NS2
3
0.51-0.75
4
0.76-1.00
5
1.01-1.50
6
1.51-2.0
7
2.01-3.0
8
3.01-4.0
K3 F-NS4
P NS11 + K1NS11+ R NS21 + K1 NS21
K2 NS11
+ K2 NS21
GNS12
K1 NS31
P NS22 + K1NS22 R NS32 + K2 NS32
K2 NS42
R NS52 + K2 NS52
GNS23
P NS33
R NS43 + K1 NS43
K1 NS53
GNS24
GNS34
P NS44
R NS54
K3 F-NS6
K2 NS72
G NS45
P NS55
G NS46
GNS56
P NS66
GNS57
GNS67
P NS77
R NS87
G NS78
P NS88
11
6.01-7.0
12
7.01-8.0
13
8.01-9.0
1
0.01-0.25
2
0.26-0.50
3
0.51-0.75
4
0.76-1.00
5
1.01-1.50
K3 F-S5
GS45
P S55
R S65 + K S65
R S75 + K S75
6
1.51-2.0
K3 F-S6
GS46
GS56
P S66
R S76
7
2.01-3.0
K3 F-S7
GS57
GS67
8
3.01-4.0
5.01-6.0
11
6.01-7.0
12
7.01-8.0
13
8.01-9.0
14
9.01-9.99
15
Fll S19
Fll S20
Fll S21
Fll S22
Fll S23
Fll S24
Fll S25
F NS191
F NS201
F NS211
F NS221
F NS231
F NS241
F NS251
F NS152
F NS162
F NS172
F NS182
F NS192
F NS202
F NS212
F NS222
F NS232
F NS242
F NS252
F NS153
F NS163
F NS173
F NS183
F NS193
F NS203
F NS213
F NS223
F NS233
F NS243
F NS253
GNS89
K1 NS97
5.01-6.0
4.01-5.0
Fll S18
F NS181
R NS76
4.01-5.0
9
Fll S17
F NS171
R NS65 + K1 NS65 R NS75 + K1 NS75
9
10
Fll S16
F NS161
K1 NS74
10
P NS99
GNS910
GNS912
K3 F-S1
Fll S15
F NS151
K2 NS2-S1
K3 F-S3
P NS1010
R NS1110
G NS1011
P NS1111
R NS1210
G NS1012
GNS1112
P NS1212
R NS1312
G NS1013
GNS1113
GNS1213
P NS1313
P S11 + K1 S11
R S21 + K1 S21
K1 S31
GS12
P S22 + K1 S22
R S32
G S23
P S33
G S24
GS34
F S151
F S161
F S171
F S181
F S191
F S201
F S211
F S221
F S231
F S241
F S251
R S52
F S152
F S162
F S172
F S182
F S192
F S202
F S212
F S222
F S232
F S242
F S252
R S43 + K S43
K1 S53
F S153
F S163
F S173
F S183
F S193
F S203
F S213
F S223
F S233
F S243
F S253
P S44
R S54
K2 NS9-S7
K1 S74
P S77
R S87
GS78
P S88
G S89
K1 S97
P S99
GS910
P S1010
R S1110
GS1011
P S1111
GS1012
GS1112
P S1212
R S1312
R S1412
GS1013
GS1113
GS1213
P S1313
R S1413
GS1214
GS1314
P S1414
10.0-11.0
GS1315
G S1415
16
11.01-12.0
GS1316
17
18
19
14.01-15.0
20
15.01-16.0
21
16.01-17.0
22
17.01-18.0
23
18.01-19.0
24
19.01-20.0
25
>20
GS912
R S1210
R S1810
K1 S1513
K1 S1713
R S1814
K1 S1914
P S1515
R S1615
GS1516
P S1616
R S1716 + KS1716
K1 S32015
12.01-13.0
GS1617
P S1717
R S1817
13.01-14.0
GS1618
G S1718
P S1818
R S1918
GS1819
P S1919
R S2019
GS1920
P S2020
G S1720
K1 S2117
GS1821
GS1922
GS1623
G S1723
R S2517
K1 S2518
K1 S2119
R S2219 + KS2219
GS2021
P S2121
GS2022
GS2122
P S2222
R S2322
R S2421
GS2123
GS2223
P S2323
GS2324
6
P S2424
K1 S2524
GS2425
P S2525
On Host
Not on Host
Equations
Fallen
ind.
Not on
Host
C) H. macrophylla
Unsuitable Host
Suitable Host
On Host
52
Suitable Host
1
2
3
4
5
6
7
8
9
10
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
26
27
28
29
30
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
5,01-6,0
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1
1,01-1,25
1,26-1,5
1,51-2
2,01-2,5
2,51-3
3,01-4
4,01-5
5,01-6
6,01-7
7,01-8
8,01-9
9,01-9,99
10-11
11,01-12
12,01-13
13,01-14
14,01-15
15,01-16
16,01-17
17,01-18
18,01-19
19,01-20
20,01-21
21,01-22
22,01-23
23,01-24
Fll NS1
Fll NS2
Fll NS5
Fll NS6
Fll NS7
Fll NS8
Fll NS9
Fll NS10
Fll S1
Fll S2
Fll S3
Fll S4
Fll S5
Fll S6
Fll S7
Fll S8
Fll S9
Fll S10
Fll S11
Fll S12
Fll S13
Fll S14
Fll S15
Fll S16
K1 NS61
K1 NS71
F
F
1
Unsuitable Host
Fallen ind.
PF
P NS11 + K2NS11 R NS21 + K2 NS21
Fll NS3
Fll NS4
R NS31 + K1 NS31
+ K2 NS31
R NS41
R NS32
R NS42 + K1 NS42
Fll S17
Fll S18
Fll S19
Fll S20
Fll S21
Fll S22
Fll S23
Fll S24
Fll S25
Fll S26
Fll S27
Fll S28
Fll S29
Fll S30
F NS171
F NS181
F NS191
F NS201
F NS211
F NS221
F NS231
F NS241
F NS251
F NS261
F NS271
F NS281
F NS291
F NS301
F NS172
F NS182
F NS192
F NS202
F NS212
F NS222
F NS232
F NS242
F NS252
F NS262
F NS272
F NS282
F NS292
F NS302
F S171
F S181
F S191
F S201
F S211
F S221
F S231
F S241
F S251
F S261
F S271
F S281
F S291
F S301
F S172
F S182
F S192
F S202
F S212
F S222
F S232
F S242
F S252
F S262
F S272
F S282
F S292
F S302
K1 S61
R S2925 +
K1 S2925
0,01-0,25
K3 F-NS1
2
0,26-0,5
K3 F-NS2
3
0,51-0,75
K3 F-NS3
4
0,76-1,0
GNS34
P NS44
R NS54
5
1,01-1,5
GNS35
G NS45
P NS55
6
1,51-2,0
7
2,01-3,0
8
3,01-4,0
9
4,01-5,0
10
5,01-6,0
1
0,01-0,25
2
0,26-0,5
3
0,51-0,75
4
0,76-1,0
5
1,01-1,5
6
1,51-2,0
7
2,01-3,0
8
3,01-4,0
9
4,01-5,0
10
5,01-6,0
11
6,01-7,0
12
7,01-8,0
GS1112
P S1212
R S1312
13
8,01-9,0
GS1113
GS1213
P S1313
14
9,01-9,99
15
10,0-11,0
G S1415
P S1515
16
11,01-12,0
G S1416
GS1516
P S1616
R S1716
17
12,01-13,0
GS1517
GS1617
P S1717
18
13,01-14,0
19
14,01-15,0
20
15,01-16,0
21
16,01-17,0
22
17,01-18,0
23
18,01-19,0
24
19,01-20,0
G S2324
P S2424
R S2524
25
20,01-21,0
G S2325
G S2425 +
K1 S2425
P S2525
26
21,01-22,0
GS2426
GS2526
P S2626
R S2726
R S2826
27
22,01-23,0
GS2627
P S2727
R S2827 +
K1 S2827
28
23,01-24,0
GS2628
GS2728
P S2828
K1 S61
29
24,01-25,0
GS2629
GS2729
GS2829
P S2929
K1 S61
30
>25
G S2930
P S3030
GNS12
P NS22 + K1NS22
GNS23
P NS33 + K1 NS33 R NS43 + K1 NS43
R NS62
R NS53
GNS56
K1 NS63
K1 NS73
R NS64
R NS65 + K1 NS65 R NS75 + K1 NS75
P NS66
GNS67
K2 NS5-S2
K3 F-S1
R NS85
R NS76 + K1 NS76
P NS77
GNS178
K3 F-S1
K1 NS83
P NS88
R NS98
GNS89
P NS99 + K1NS99
R NS109
GNS910
P NS1010
P S11
R S21
R S31 +K1S31
R S41
K1 S61
GS12
P S22 + K1S22
R S32
R S42 +K1S42
R S62
G S23
P S33 + K1S33
R S43 +K1S43
R S53
GS34
P S44
R S54
R S64
GS35
GS45
P S55
G S56
K1 S61
K1 S61
K1 S61
K1 S61
R S65 +K1S65
R S75 +K1S75
R S85
P S66
R S76 +K1S76
GS67
K1 S61
P S77
GS78
P S88
R S98
G S89
P S99 + K1S99
GS910
K1 S61
P S1010
GS1011
P S1111
GS1314
R S1613 +K1 S1613
P S1414
K1 S61
G S1718
R S2514
R S2117
P S1818
GS1819
GS1621
GS1823
P S1919 +
K1 S31919
R S2019
GS1920
P S2020
GS1921
GS2021
R S2119
K1 S61
R S2220
P S2121
R S2221
GS2122
P S2222
R S2322
GS2123
GS2223
P S2323
G S2329
R S2422
R S2924
GS2630
7
R S2927 +
K1 S2927
R S3028
53
Appendix S3: Population matrix models of the three Heteropsis species, (A) Heteropsis oblongifolia, (B) H. flexuosa, and (C) H.
54
macrophylla. Refer to the legend of Appendix S2 for colour legend.
55
Not on Host
Matrix
Fallen ind.
Fallen
ind.
Suitable Hosts
On Hosts
Non-suitable Hosts
Not
on
Host
A) H. oblongifolia
56
On Host
F
Non-suitable Host
Suitable Host
1
2
3
4
5
1
2
3
4
5
6
7
8
9
10
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
>5,00
0,7239
0,0639
0,0645
0,0651
0,0655
0,0660
0,0090
0,0091
0,0091
0,0092
0,0093
0,0093
0,0094
0,0094
0,0095
0,0095
F
1
0,01-0,25
0,1227
0,8317
0,0468
0,0196
0
0
0
0
0
0,0032
0,0032
0,0963
0,1592
0,3062
0,5723
1,3006
2
0,26-0,5
0,0289
0,0719
0,8411
0,1152
0,0303
0
0
0
0
0
0,0042
0,0170
0,0281
0,0540
0,1010
0,2295
3
0,51-0,75
0,0144
0
0,0432
0,7841
0,0742
0
0
0
0
0
0
0
0
0
0
0
4
0,76-1,0
0
0
0
0,0345
0,7825
0,0746
0
0
0
0
0,0006
0
0
0
0
0
5
1,01-1,5
0
0
0
0
0,0393
0,8495
0
0
0
0
0
0
0
0
0
0
1
0,01-0,25
0,0960
0
0,0029
0
0
0
0,8389
0,0104
0
0,0023
0
0,0435
0,0465
0,0894
0,1671
0,3797
2
0,26-0,5
0,0747
0
0
0
0
0,0147
0,1112
0,8485
0,0464
0,0120
0,0117
0,0050
0,0082
0,0158
0,0295
0,0670
3
0,51-0,75
0,0427
0
0
0
0,0083
0
0
0,0766
0,8338
0,0451
0,0154
0
0
0
0
0,0454
4
0,76-1,0
0,0107
0
0
0
0
0
0
0,0205
0,0540
0,8177
0,0709
0,0188
0,0191
0
0
0
5
1,01-1,5
0
0
0
0,0033
0
0,0088
0
0,0065
0,0330
0,0621
0,7644
0,0923
0,0346
0,0249
0
0
6
1,51-2,0
0
0
0
0
0
0
0
0
0
0,0484
0,0718
0,7938
0,1505
0,0249
0
0,0312
7
2,01-3,0
0
0
0
0
0
0
0
0
0
0
0,0368
0,0923
0,7282
0,0277
0
0
8
3,01-4,0
0
0
0
0
0
0
0
0
0
0
0,0126
0
0,0657
0,7830
0,0895
0
9
4,01-5,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1275
0,6170
0,0896
10
>5,00
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,2830
0,9461
1,1139
0,9675
0,9985
1,0218
1,0001
1,0137
0,9591
0,9716
0,9763
1,0002
1,0011
1,1682
1,2496
1,4628
1,8689
3,0987
8
On Host
Not on Host
Matrix
Fallen
ind.
Suitable Hosts
On Hosts
Non-suitable Hosts
Not
on
Host
B) H. flexuosa
57
Non-suitable Host
Fallen ind.
Suitable Host
1
2
3
4
5
6
7
8
9
10
11
12
13
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
0.01-0.25
0.26-0.50
0.51-0.75
0.76-1.00
1.01-1.50
1.51-2.0
2.01-3.0
3.01-4.0
4.01-5.0
5.01-6.0
6.01-7.0
7.01-8.0
8.01-9.0
0.01-0.25
0.26-0.50
0.51-0.75
0.76-1.00
1.01-1.50
1.51-2.0
2.01-3.0
3.01-4.0
4.01-5.0
5.01-6.0
6.01-7.0
7.01-8.0
8.01-9.0
9.01-9.99
10.0-11.0
11.01-12.0
12.01-13.0
13.01-14.0
14.01-15.0
15.01-16.0
16.01-17.0
17.01-18.0
18.01-19.0
19.01-20.0
>20
F
F
0,6786
0,0173
0,0177
0,0180
0,0182
0,0186
0,0190
0,0194
0,0197
0,0199
0,0200
0,0200
0,0201
0,0201
0,0173
0,0177
0,0180
0,0182
0,0186
0,0190
0,0194
0,0197
0,0199
0,0200
0,0200
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
0,0201
1
0.01-0.25
0,0671
0,7387
0,0350
0,0128
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,3690
0,5125
0,7026
0,9461
1,2426
1,5821
1,9458
2,3104
2,6558
2,9690
3,8035
2
0.26-0.50
0,0671
0,1138
0,8047
0,0375
0,0073
0,0177
0
0,0077
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0752
0,1044
0,1431
0,1927
0,2531
0,3223
0,3964
0,4706
0,5410
0,6048
0,7748
3
0.51-0.75
0
0
0,0436
0,7535
0,0691
0,0091
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0171
0,0237
0,0325
0,0438
0,0575
0,0732
0,0901
0,1070
0,1230
0,1375
0,1761
4
0.76-1.00
0,0224
0
0,0056
0,0919
0,6621
0,0187
0
0,0166
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1.01-1.50
0
0
0
0
0,1814
0,7480
0,0720
0,0304
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1.51-2.0
0,0224
0
0
0
0,0151
0,1120
0,7209
0,0670
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2.01-3.0
0
0
0
0
0
0,0168
0,1480
0,7426
0,0612
0,0971
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3.01-4.0
0
0
0
0
0
0
0
0,1174
0,7673
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4.01-5.0
0
0
0
0
0
0
0
0
0,1312
0,8040
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5.01-6.0
0
0
0
0
0
0
0
0
0
0,1098
0,7529
0,1210
0,0624
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
6.01-7.0
0
0
0
0
0
0
0
0
0
0
0,1104
0,7558
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
7.01-8.0
0
0
0
0
0
0
0
0
0
0,0549
0,0552
0,0498
0,8602
0,0454
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
8.01-9.0
0
0
0
0
0
0
0
0
0
0
0,0552
0,0498
0,0555
0,9335
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0.01-0.25
0,0124
0
0,0008
0
0
0
0
0
0
0
0
0
0
0
0,7367
0,0330
0,0128
0
0
0
0
0
0
0
0
0
0
0
0,0734
0,1020
0,1398
0,1882
0,2472
0,3148
0,3871
0,4596
0,5284
0,5907
0,7567
2
0.26-0.50
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1138
0,7887
0,0303
0
0,0103
0
0
0
0
0
0
0
0
0
0,0073
0,0102
0,0140
0,0188
0,0247
0,0315
0,0387
0,0460
0,0528
0,0591
0,0757
3
0.51-0.75
0,0124
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0596
0,7535
0,0691
0,0091
0
0
0
0
0
0
0
0
0
0,0029
0,0041
0,0056
0,0075
0,0099
0,0126
0,0155
0,0184
0,0211
0,0236
0,0303
4
0.76-1.00
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0056
0,0919
0,6621
0,0187
0
0,0166
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1.01-1.50
0,0124
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1814
0,7480
0,0720
0,0304
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1.51-2.0
0,0124
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0151
0,1120
0,7209
0,0670
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2.01-3.0
0,0124
0
0
0
0
0
0
0
0
0,0009
0
0
0
0
0
0
0
0
0,0168
0,1480
0,7426
0,0612
0,0971
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3.01-4.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1174
0,7673
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4.01-5.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1312
0,8040
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5.01-6.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1098
0,7529
0,1210
0,0624
0
0
0
0
0
0,0455
0
0
0
0
0
0
0
11
6.01-7.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1104
0,7558
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
7.01-8.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0549
0,0552
0,0498
0,7978
0,0454
0,0625
0
0
0
0
0
0
0
0
0
0
0
13
8.01-9.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0552
0,0498
0,0555
0,7274
0,1339
0,1250
0
0,0500
0
0
0
0
0
0
0
0
14
9.01-9.99
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0624
0,0838
0,5778
0
0
0
0,0909
0,0556
0
0
0
0
0
0
15
10.0-11.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0768
0,2052
0,8963
0,0417
0
0
0
0,0500
0
0
0
0
0
16
11.01-12.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0454
0
0,0833
0,7591
0,1125
0
0
0
0
0
0
0
0
17
12.01-13.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0956
0,6560
0,1010
0
0
0,1111
0
0
0
0,0714
18
13.01-14.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0417
0,1079
0,5960
0,0833
0
0
0
0
0
0,0833
19
14.01-15.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1010
0,7715
0,0909
0,0556
0,1667
0
0
0
20
15.01-16.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1079
0
0,0833
0,7721
0
0
0
0
0
21
16.01-17.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0455
0
0,0455
0,8326
0
0
0,1250
0
22
17.01-18.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0417
0,0714
0,1250
0,8132
0,0833
0
0
23
18.01-19.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0417
0,0455
0
0
0
0,0625
0,0833
0,7715
0
0
24
19.01-20.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1250
0,6882
0,0833
25
>20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,9194
0,8698
0,9073
0,9136
0,9532
0,9409
0,9597
1,0010
0,9794
1,0866
0,9937
0,9966
0,9981
0,9990
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1667
0,9084
0,8678
0,9045
0,9065
0,9459
0,9334
0,9597
0,9933
0,9794
1,0857
0,9937
0,9966
0,9981
0,9990
0,9994
1,6695
1,7567
2,1375
2,3971
2,8905
3,3864
4,0803
4,4952
4,9220
5,3845
6,7836
58
9
On Host
Not on Host
Matrix
Fallen
ind.
Suitable Host
On Host
Non-suitable Host
Not on
Host
C) H. macrophylla
59
Non-suitable Host
Fallen ind.
Suitable Host
1
2
3
4
5
6
7
8
9
10
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
26
27
28
29
30
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
5,01-6,0
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
5,01-6,0
6,01-7,0
7,01-8,0
8,01-9,0
9,01-9,99
10,0-11,0
11,01-12,0
12,01-13,0
13,01-14,0
14,01-15,0
15,01-16,0
16,01-17,0
17,01-18,0
18,01-19,0
19,01-20,0
20,01-21,0
21,01-22,0
22,01-23,0
23,01-24,0
24,01-25,0
>25
F
F
0,7857
0,0198
0,0205
0,0209
0,0212
0,0215
0,0217
0,0218
0,0219
0,0219
0,0219
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
0,0209
1
0,01-0,25
0,0422
0,7761
0,0433
0,0264
0,0156
0
0,0165
0,0161
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,2862
0,3065
0,4664
0,7157
1,0773
1,4413
1,7160
3,0088
4,2468
4,8809
4,8811
5,2622
5,9083
6,4944
6,7100
7,1760
2
0,26-0,5
0,0141
0,1135
0,7918
0,0594
0,0324
0
0,0160
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0311
0,0333
0,0507
0,0778
0,1171
0,1567
0,1865
0,3270
0,4616
0,5305
0,5306
0,5720
0,6422
0,7059
0,7294
0,7800
3
0,51-0,75
0,0281
0
0,1051
0,6928
0,0910
0,0123
0,0165
0,0151
0,0238
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0,76-1,0
0
0
0
0,1719
0,6274
0,0492
0,0160
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1,01-1,5
0
0
0
0,0089
0,2245
0,8024
0,0504
0,0318
0,0250
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1,51-2,0
0
0
0
0
0
0,0984
0,7511
0,0484
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2,01-3,0
0
0
0
0
0
0
0,1696
0,8098
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3,01-4,0
0
0
0
0
0
0
0
0,1164
0,8190
0,0333
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4,01-5,0
0
0
0
0
0
0
0
0
0,1338
0,8507
0,0333
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5,01-6,0
0
0
0
0
0
0
0
0
0
0,1252
0,9447
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0,01-0,25
0,0181
0
0
0
0
0
0
0
0
0
0
0,8159
0,0408
0,0229
0,0154
0
0,0159
0,0154
0
0
0
0
0
0
0
0,0187
0,0200
0,0304
0,0467
0,0703
0,0940
0,1119
0,1962
0,2770
0,3183
0,3183
0,3432
0,3853
0,4235
0,4376
0,4680
2
0,26-0,5
0
0
0
0
0
0,0022
0
0
0
0
0
0,1198
0,8101
0,0595
0,0319
0
0,0154
0
0
0
0
0
0
0
0
0,0109
0,0117
0,0177
0,0272
0,0410
0,0548
0,0653
0,1145
0,1616
0,1857
0,1857
0,2002
0,2248
0,2471
0,2553
0,2730
3
0,51-0,75
0,0120
0
0
0
0
0
0
0
0
0
0
0
0,1075
0,6934
0,0897
0,0120
0,0159
0,0145
0,0228
0
0
0
0,0598
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0,76-1,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1721
0,6186
0,0478
0,0154
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1,01-1,5
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0089
0,2213
0,7803
0,0486
0,0304
0,0239
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1,51-2,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0957
0,7237
0,0464
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2,01-3,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1634
0,7763
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3,01-4,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1116
0,7838
0,0319
0
0
0
0
0
0
0
0
0
0
0
0,0683
0
0
0
0
0
0
0
0
0
9
4,01-5,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1280
0,6866
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5,01-6,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,2471
0,6197
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
6,01-7,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,3160
0,5531
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
7,01-8,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,3348
0,6795
0,0683
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
8,01-9,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0478
0,2563
0,5394
0
0
0,3588
0
0
0
0
0
0
0
0
0
0
0
0
0
0
14
9,01-9,99
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,3280
0,3891
0
0
0
0
0,0531
0
0
0
0
0
0,0683
0
0
0
0
0
15
10,0-11,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,4783
0,4711
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
11,01-12,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0683
0,3280
0,4574
0,0797
0
0
0
0
0
0
0
0
0
0
0
0
0
17
12,01-13,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1367
0,1196
0,6980
0
0
0
0,0957
0
0
0
0
0
0
0
0
0
18
13,01-14,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1580
0,6112
0
0
0
0
0
0
0
0
0
0
0
0
19
14,01-15,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1965
0,5855
0,1594
0,0598
0
0,0531
0
0
0
0
0
0
0
20
15,01-16,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,2733
0,6168
0
0,1196
0
0
0
0
0
0
0
0
21
16,01-17,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1196
0
0
0,1367
0,1594
0,5052
0,1196
0
0
0
0
0
0
0
0
22
17,01-18,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,2153
0,4574
0,1367
0,0478
0
0
0
0
0
0
23
18,01-19,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1281
0
0
0,0598
0,2392
0,5514
0
0
0
0
0
0
0
24
19,01-20,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0598
0,6282
0,0797
0
0
0
0,0683
0
25
20,01-21,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,1281
0,2323
0,5599
0
0
0,0478
0,1367
0
26
21,01-22,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0957
0,2278
0,4375
0,0598
0,0598
0
0
27
22,01-23,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,2192
0,3179
0,1555
0,2477
0
28
23,01-24,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0598
0,4983
0,7564
0,0683
0,0399
29
24,01-25,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0598
0
0
0,1594
0,0598
0,0598
0,3037
0,0319
30
>25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0598
0
0
0,3758
0,8959
0,9002
0,9094
0,9607
0,9803
1,0121
0,9860
1,0580
1,0594
1,0234
1,0312
0,9999
0,9567
0,9793
0,9777
0,9980
0,9567
1,0195
1,0156
0,9795
0,9866
0,9567
0,9567
1,0165
0,9567
0,9567
1,3035
1,4477
1,5219
1,8241
2,3753
2,7035
3,1047
4,6032
6,1568
6,9405
6,8723
7,3342
8,1173
8,9711
9,3537
9,6856
60
10
61
Appendix S4. Description of the statistical analyses.
62
We modelled the dynamics of individuals on hosts. We first pooled data on vital rates (survival (σi), growth (γi) and fecundity (fi))
63
across the three sampled plots, as these did not differ among plots (One-way ANOVA; P ≥0.05). We calculated annual vital rates
64
based on two annual transitions (2007-08, 2008-09), when differences between the years were found they were incorporated into
65
the model. Survival was related to the initial upper height and suitability of the host using multiple logistic regressions. To compare
66
the overlapping zones of non-suitable and suitable host, we only included those individuals with upper heights smaller than the
67
maximum height of non-suitable hosts (H. oblongifolia: 1.5 m; H. flexuosa: 8.4 m; H. macrophylla: 6.0 m). Because variation in
68
survival was not significantly affected by host suitability, we then performed a simple logistic regression for all individuals, thus
69
including the full range of heights. Rates of growth in upper height were based on observed transition frequencies, since there was
70
no relationship between growth rate and height. We assessed whether the probability of reproduction in both annual periods
71
depended on upper height, using logistic regressions.
72
In order to understand the significance of vegetative reproduction, as detailed earlier, these include segregating in two
73
segments on the same host (𝜅1ij) and changing host through ramet production (𝜅2ij; Table 3). To examine whether the probability of
74
vegetative reproduction was size-dependent with regards to the upper height of the individuals, and related to the suitability of the
75
host, we used multiple logistic regressions with host suitability and height as potential explanatory variables. To compare the
76
overlapping zones of non-suitable and suitable host, the maximum upper height included in this analysis was restricted to the
11
77
maximum height of non-suitable hosts (H. oblongifolia: 1.5 m; H. flexuosa: 8.4 m; H. macrophylla: 6.0 m), just as we did above for
78
survival. When variation in vegetative reproduction was not significantly affected by host suitability, we then performed a simple
79
logistic regression for all individuals, thus including the full range of heights.
80
As we did not find an effect of annual transitions on the probability of falling from hosts for either Heteropsis species (as per
81
McNemar’s test following Sokal & Rohlf 1995), we lumped the two annuals periods and tested the effect of host suitability on falling
82
probability using Chi-square test for each species at a time. Then we examined the probability of falling from or with the host using
83
logistic regressions with Heteropsis individual height as response variable, but again lumping annual periods and host suitability
84
status, as the latter factors had no effect. Furthermore, based on observed data we calculated the probability that a fallen individual
85
would produce a climbing ramet and would divide in two individuals (𝜅3ij in Table 3).
86
Statistical analyses performed in three Heteropsis species in the Colombian Amazon (see Materials and Methods).
87
Significance: ns = P ≥ 0.05, * = P ≤ 0.05, ** = P ≤ 0.01, *** = P ≤ 0.001. Type: Analysis of covariance = ANCOVA, Log = Logistic
88
regression, MLR = Multiple logistic regression, MLR – OZ: multiple logistic regression – only overlapping zone: H. oblongifolia: only
89
individuals ≤ 1.5 m (overlapping zone US and S host); H. flexuosa: only individuals ≤ 8.4 m (overlapping zone US and S host); H.
90
macrophylla: only individuals ≤ 6.0 m (overlapping zone US and S host), McNemar test = McN, Pearson Chi-square = PCh-s.
91
Variables: Fll: Probability of falling in two years (from or with the host), PGR: Positive growth rate, PIP: Probability of inflorescences
92
production, Sv: Survival, SH: Suitability of the host, S: Suitable hosts, UH: Upper height, US: Unsuitable hosts VR1: Probability an
12
93
individual split in two segments, VR2: Probability that an individual produced a ramet that descended to the ground, and then
94
climbed a host, Yr: Years. Partial data adapted from the supporting information in Balcázar-Vargas et al. 2015.
Analysis
95
Variables
Analysis
PGR vs. SH SH
Su vs. UH
UH
H.Type
oblongifolia
R2
Type
ANCOVA
Log
0.055
Const.
PIP vs UH
Analysis
& Yr
96
Variables
UH
Species
MLR
Type
Fll vs. Ys
Const.
Ys
McN
VR1 vs.
UH
MLR
UH
Yr
UH
Fll vs SH
97
SE
0.167
0.92*
0.41
7.96
ns
0.43
0.32
H.
oblongifolia
1.54
Log
Type
base
PCh-s
d on
0.79
Number
Exact Sig
ns
of
valid
0.16 (2 tail)
0.20
cases
1.20
ns
510 0.093
0.044
Exp ß
1.93
2.50
0.31
-0.51ns
Yr
Const.
Species
UH
Variables
Const.
SH
UH
0.305
0.26**
4.42***
-0.19ns
0.60
Point
1.18
probability
0.01
0.029
0.09
1.30
0.57
0.83
0.89
H. oblongifolia
0.043
0.26**
0.09
χ2 4.35***
P
0.35
28.023
< 0.0001
4.63***
0.01
1.30
df
0.01
1
Const.
VR1 vs.
Analysis
UH & SH
Su vs. UH
VR2 vs.
UH
YrUH
PIP&vs
& Yr
VR2 vs.
UH & SH
UH
Species
SH
Variables
Const.
UH
UH
Const.
Yr
UH
Const.
Yr
UH
UH * Yr
SH
Const.
2 yr
MLR
- Type
OV
Log
MLR
MLR
MLR
0.38ns
1.05
H. oblongifolia
-0.94ns
0.75
R2
B
SE
0.70
0.055
0.92*
0.41
ns
0.011 4.10***
-0.19
0.21
2.07***
0.31
0.019
1.55
1.54
0.01
0.60
1.59**
0.16ns
4.19***
-1.49**
-
0.61
0.20
0.48
1.20
4.89
1.18
0.23
0.01
0.45
0.02
0.048
0.82
5.55
0.56
0.02
0.003
0.24
0.89
0.072
- OV
VR2 on
UH
US vs. UH
VR2 on S
Const.
4.42***
1.71*
3.72***
-
UH
-0.12ns
Log
0.39
Exp ß
0.02
2.50
0.83
7.96
0.43
0.32
0.75
0.79
Const.
Log
1.460
ns
0.44
0.43ns
- ns
-0.51
0.305
3.80***
H.
flexuosa
Type
F1-115
B
2.07***
Variables
UH * Yr
Analysis
& Yr
VR1 vs.
P
Type
Log
R2
ANCOVA
0.167
MLR
0.562
P
F1-180
B
0.960
0.53***
SE
Exp ß
0.003
0.16
1.70
1.20***
0.18
3.31
0.59***
H. flexuosa 0.14
1.80
H. macrophylla P
Type
R2
Type
ANCOVA
Log
0.002
1.12
4.23
Number
Exact Sig Point
of
valid
-0.15*(2 tail)0.08 probability
0.86
cases
ns
0.00
496 - 0.8042.01
0.175
McN
MLR
Log
Type
Year 1
PCh-s
Log
Year 2
MLR -
0.056
0.08**
8.36***
0.84*
0.03
1.08
0.43
2.31
-5.29**
0.78
H. flexuosa
0.006
-0.05ns
0.08
χ2
P
0.43
3.528
≥ 0.05
0.092
0.12***
0.03
3.81***
0.36
0.005
Df
0.95
0.02
1
1.12
0.02
B
0.413
0.01ns
2.21***
MLR
1.44ns
Type
F1-255
SE
Exp
0.671
0.02
1.02
ß
0.17
9.19
0.706 H. macrophylla
0.32***
0.09
Type
McN
MLR
Log
Type
Year 1
PCh-s
Log
Year 2
MLR -
1.22
0.84
Number
Exact Sig Point
ns
of
valid
0.00(2 tail) 0.06 probability
1.00
cases
- 0.327ns
1.88
0.002
546
0.079
0.056
0.05**
6.30***
0.98**
0.02
1.05
0.38
2.67
0.69
H. macrophylla
0.000
0.006ns
0.04
χ2 5.31*** P
0.39
2.137
≥ 0.05
0.059
0.07***
0.02
3.99***
0.29
0.005
-0.02ns
0.15
0.98
H.3.91***
flexuosa
-0.14ns
0.56
0.87
OV
Type
R2
B
SE
Exp ß
-3.71
0.35
0.02
Log
0.167
0.53***
0.16
1.70
Low number of observation
1.20***to perform
0.18 a 3.31
0.019
0.24ns
0.14
3.49***
H. macrophylla
0.28ns
0.46
OV
Type
R2
B
SE
- ns
0.37
Log
0.002
0.01
0.02
Low number of observation
to
perform
4.11***
2.21***
0.17 a
statistical
test.
MLR
0.562
statistical
test
MLR
0.706
0.001
0.59***
0.14
1.80
1.44ns
1.12
4.23
Low number of observation
to
perform
a
-0.15*
0.08
0.86
statistical test
-
2.01
0.00
1.38
-0.18ns
0.32***
0.09
-0.18ns
1.22
Low number of observation
to
perform
ns
0.00
0.06 a
statistical test
-
1.88
8.36***
13of observation to perform a
Low number
6.30***
Low number of observation to perform a
statistical test
Low number of observation to perform a
statistical test
Low number of observation to perform a
1.01
df
0.02
1
1.07
0.03
1.27
1.32
Exp
0.02
1.02
ß
9.19
1.38
0.84
1.00
0.002
VR1 vs.
UH
UH
Yr
MLR
0.044
Const.
& Yr
VR1 vs.
UH
UH
Log
Const.
UH
0.043
0.26**
0.09
1.30
-0.19ns
0.57
-
0.89
0.08**
0.03
1.08
0.83
0.84*
0.43
0.01
-5.29**
0.78
-0.05ns
2.31
0.98**
0.38
2.67
0.005
-
0.69
0.005
0.08
0.95
Log
0.006ns
5.31***
0.04
1.01
-
0.43
0.02
-
0.39
0.02
0.092
0.12***
3.81***
-
0.03
1.12
Year 1
Log
0.059
0.02
1.07
0.36
0.02
0.07***
3.99***
-
0.29
0.03
0.001
-0.02ns
0.019
0.24ns
3.49***
0.28ns
0.14
1.27
0.46
1.32
-
0.37
0.02
-
0.35
0.01
d on
4.63***
Year 1
Log
0.38ns
1.05
1.460
Year 2
MLR -
-0.94ns
0.75
0.39
OV
-
0.70
0.02
-0.19ns
4.10***
0.21
0.83
Low number of observation to perform a
Low number of observation
4.11***to perform a
0.44ns
0.43
1.55
statistical test.
statistical test
-
0.75
0.01
1.59**
4.19***
-1.49**
0.61
4.89
Low number of observation to perform a
Low number of observation to perform a
0.48
0.23
statistical test
statistical test
-
0.45
0.02
0.048
0.82
5.55
Low number of observation to perform a
Low number of observation to perform a
0.56
0.02
0.003
0.24
0.89
statistical test
Low number of observation to perform a
statistical test
Low number of observation to perform a
0.40
0.02
SH
- OV
0.019
Const.
MLR
0.011
Yr
Const.
VR2 vs.
UH
MLR
UH & SH
SH
- OV
0.072
Const.
VR2 on
UH
US vs. UH
VR2 on S
Const.
1.71*
3.72***
-
UH
-0.12ns
Log
Log
Const.
UH
Log
Const.
On
Log
US
On S
Const.
1.05
base
UH & SH
UH
0.02
Log
UH
vs. UH
Fll vs UH
0.056
1.30
VR1 vs.
UH & Yr
0.05**
0.009
0.002
3.80***
ns
-0.78
3.95***
-1.50**
1.05
0.46
0.49
-0.10ns
-4.13***
0.006
MLR
0.09
2 yr
MLR
UH
0.056
0.26**
4.35***
Const.
VR2 vs.
MLR
statistical test
Log
0.016
3.91***
-0.14ns
0.15
0.98
Year 2
MLR -
0.56
0.87
OV
-3.71
0.35
0.02
0.06ns
0.03
1.06
0.22
-
0.30
0.01
0.36
0.91
4.18***
0.62
0.02
0.000
statistical test
Log
0.006
-0.03ns
0.03
0.97
-
0.23
0.03
3.66***
98
Reference:
99
Sokal, R.R. & Rohlf, F.J. (1995) Biometry: The Principles and Practice of Statistics in Biological Research, 3rd edn. W.H. Freeman, New York, NY, USA.
14
100
Appendix S5: Stacked vital rates elasticities per stage of the three Heteropsis species, (A) Heteropsis oblongifolia, (B) H. flexuosa,
101
and (C) H. macrophylla. Refer to the legend of Appendix S2 for colour legend.
102
Not on Host
Elasticity
Fallen ind.
Fallen
ind.
Suitable Hosts
On Hosts
Non-suitable Hosts
Not
on
Host
A) H. oblongifolia
103
On Host
F
Non-suitable Host
Suitable Host
1
2
3
4
5
1
2
3
4
5
6
7
8
9
10
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
>5,00
0,0298
0,0065
0,0039
0,0008
0,0001
0,0000
0,0004
0,0005
0,0003
0,0002
0,0001
0,0001
0,0001
0,0000
0,0000
0,0001
F
1
0,01-0,25
0,0025
0,0419
0,0014
0,0001
0
0
0
0
0
0,0000
0,0000
0,0007
0,0005
0,0005
0,0007
0,0043
2
0,26-0,5
0,0007
0,0043
0,0301
0,0009
0,0000
0
0
0
0
0
0,0000
0,0001
0,0001
0,0001
0,0001
0,0009
3
0,51-0,75
0,0004
0
0,0018
0,0070
0,0001
0
0
0
0
0
0
0
0
0
0
0
4
0,76-1,0
0
0
0
0,0003
0,0010
0,0000
0
0
0
0
0,0000
0
0
0
0
0
5
1,01-1,5
0
0
0
0
0,0001
0,0003
0
0
0
0
0
0
0
0
0
0
1
0,01-0,25
0,0025
0
0,0001
0
0
0
0,0225
0,0004
0
0,0000
0
0,0004
0,0002
0,0002
0,0002
0,0016
2
0,26-0,5
0,0033
0
0
0
0
0,0000
0,0051
0,0494
0,0018
0,0003
0,0002
0,0001
0,0001
0,0001
0,0001
0,0005
3
0,51-0,75
0,0027
0
0
0
0,0000
0
0
0,0064
0,0454
0,0015
0,0004
0
0
0
0
0,0005
4
0,76-1,0
0,0011
0
0
0
0
0
0
0,0028
0,0048
0,0450
0,0028
0,0006
0,0003
0
0
0
5
1,01-1,5
0
0
0
0,0002
0
0,0000
0
0,0014
0,0046
0,0053
0,0479
0,0049
0,0008
0,0003
0
0
6
1,51-2,0
0
0
0
0
0
0
0
0
0
0,0051
0,0055
0,0516
0,0044
0,0004
0
0,0010
7
2,01-3,0
0
0
0
0
0
0
0
0
0
0
0,0044
0,0094
0,0332
0,0006
0
0
8
3,01-4,0
0
0
0
0
0
0
0
0
0
0
0,0040
0
0,0080
0,0486
0,0042
0
9
4,01-5,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0141
0,0512
0,0214
10
>5,00
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0302
0,2901
0,0431
0,0526
0,0373
0,0093
0,0013
0,0003
0,0280
0,0608
0,0569
0,0575
0,0655
0,0679
0,0476
0,0649
0,0867
0,3203
15
On Host
Not on Host
Elasticity
Fallen
ind.
Suitable Hosts
On Hosts
Non-suitable Hosts
Not
on
Host
B) H. flexuosa
104
Non-suitable Host
Fallen ind.
Suitable Host
1
2
3
4
5
6
7
8
9
10
11
12
13
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
0.01-0.25
0.26-0.50
0.51-0.75
0.76-1.00
1.01-1.50
1.51-2.0
2.01-3.0
3.01-4.0
4.01-5.0
5.01-6.0
6.01-7.0
7.01-8.0
8.01-9.0
0.01-0.25
0.26-0.50
0.51-0.75
0.76-1.00
1.01-1.50
1.51-2.0
2.01-3.0
3.01-4.0
4.01-5.0
5.01-6.0
6.01-7.0
7.01-8.0
8.01-9.0
9.01-9.99
10.0-11.0
11.01-12.0
12.01-13.0
13.01-14.0
14.01-15.0
15.01-16.0
16.01-17.0
17.01-18.0
18.01-19.0
19.01-20.0
>20
F
F
0,0018
0,0003
0,0003
0,0001
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0001
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
1
0.01-0.25
0,0000
0,0014
0,0001
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0001
0,0000
0,0000
0,0001
0,0001
0,0000
0,0001
2
0.26-0.50
0,0000
0,0003
0,0015
0,0000
0,0000
0,0000
0
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
3
0.51-0.75
0
0
0,0001
0,0004
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
4
0.76-1.00
0,0000
0
0,0000
0,0001
0,0002
0,0000
0
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1.01-1.50
0
0
0
0
0,0000
0,0002
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1.51-2.0
0,0000
0
0
0
0,0000
0,0000
0,0001
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2.01-3.0
0
0
0
0
0
0,0000
0,0000
0,0001
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3.01-4.0
0
0
0
0
0
0
0
0,0000
0,0001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4.01-5.0
0
0
0
0
0
0
0
0
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5.01-6.0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
6.01-7.0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
7.01-8.0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
8.01-9.0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0.01-0.25
0,0000
0
0,0000
0
0
0
0
0
0
0
0
0
0
0
0,0005
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
2
0.26-0.50
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0002
0,0006
0,0000
0
0,0000
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
3
0.51-0.75
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0001
0,0005
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
4
0.76-1.00
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0002
0,0004
0,0000
0
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1.01-1.50
0,0001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0002
0,0012
0,0001
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1.51-2.0
0,0003
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0003
0,0018
0,0002
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2.01-3.0
0,0005
0
0
0
0
0
0
0
0
0,0000
0
0
0
0
0
0
0
0
0,0001
0,0007
0,0038
0,0001
0,0001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3.01-4.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0013
0,0036
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4.01-5.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0011
0,0039
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5.01-6.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0006
0,0068
0,0004
0,0009
0
0
0
0
0
0,0006
0
0
0
0
0
0
0
11
6.01-7.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0010
0,0027
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
7.01-8.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0004
0,0006
0,0002
0,0146
0,0020
0,0011
0
0
0
0
0
0
0
0
0
0
0
13
8.01-9.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0010
0,0003
0,0015
0,0491
0,0037
0,0128
0
0,0016
0
0
0
0
0
0
0
0
14
9.01-9.99
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0019
0,0063
0,0179
0
0
0
0,0027
0,0032
0
0
0
0
0
0
15
10.0-11.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0086
0,0094
0,1526
0,0037
0
0
0
0,0024
0
0
0
0
0
16
11.01-12.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0040
0
0,0112
0,0539
0,0046
0
0
0
0
0
0
0
0
17
12.01-13.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0086
0,0340
0,0045
0
0
0,0042
0
0
0
0,0026
18
13.01-14.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0030
0,0045
0,0212
0,0058
0
0
0
0
0
0,0024
19
14.01-15.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0041
0,0616
0,0041
0,0019
0,0112
0
0
0
20
15.01-16.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0063
0
0,0081
0,0419
0
0
0
0
0
21
16.01-17.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0037
0
0,0040
0,0575
0
0
0,0065
0
22
17.01-18.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0041
0,0039
0,0053
0,0664
0,0051
0
0
23
18.01-19.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0044
0,0028
0
0
0
0,0027
0,0070
0,0490
0
0
24
19.01-20.0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0117
0,0331
0,0052
25
>20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0103
0,0720
0,0028
0,0020
0,0019
0,0005
0,0002
0,0002
0,0002
0,0002
0,0001
0,0001
0,0000
0,0000
0,0000
0,0000
0,0007
0,0008
0,0007
0,0007
0,0017
0,0026
0,0054
0,0049
0,0050
0,0094
0,0037
0,0190
0,0700
0,0321
0,1767
0,0737
0,0538
0,0369
0,0829
0,0564
0,0717
0,0848
0,0659
0,0499
0,0823
105
16
On Host
Not on Host
Elasticity
Fallen
ind.
Suitable Host
On Host
Non-suitable Host
Not on
Host
C) H. macrophylla
106
Non-suitable Host
Fallen ind.
Suitable Host
1
2
3
4
5
6
7
8
9
10
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
26
27
28
29
30
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1
1,01-1,25
1,26-1,5
1,51-2
2,01-2,5
2,51-3
3,01-4
0,01-0,25
0,26-0,5
0,51-0,75
0,76-1,0
1,01-1,5
1,51-2,0
2,01-3,0
3,01-4,0
4,01-5,0
5,01-6,0
6,01-7,0
7,01-8,0
8,01-9,0
9,01-9,99
10,0-11,0
11,01-12,0
12,01-13,0
13,01-14,0
14,01-15,0
15,01-16,0
16,01-17,0
17,01-18,0
18,01-19,0
19,01-20,0
20,01-21,0
21,01-22,0
22,01-23,0
23,01-24,0
24,01-25,0
>25
F
F
0,0027
0,0002
0,0001
0,0001
0,0000
0,0001
0,0000
0,0000
0,0000
0,0000
0,0001
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
1
0,01-0,25
0,0000
0,0023
0,0001
0,0000
0,0000
0
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0001
0,0002
0,0000
0,0002
2
0,26-0,5
0,0000
0,0005
0,0028
0,0001
0,0000
0
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
3
0,51-0,75
0,0001
0
0,0005
0,0017
0,0001
0,0000
0,0000
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0,76-1,0
0
0
0
0,0005
0,0011
0,0001
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1,01-1,5
0
0
0
0,0000
0,0005
0,0024
0,0001
0,0000
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1,51-2,0
0
0
0
0
0
0,0004
0,0013
0,0001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2,01-3,0
0
0
0
0
0
0
0,0003
0,0012
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3,01-4,0
0
0
0
0
0
0
0
0,0001
0,0008
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4,01-5,0
0
0
0
0
0
0
0
0
0,0001
0,0011
0,0001
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5,01-6,0
0
0
0
0
0
0
0
0
0
0,0001
0,0020
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0,01-0,25
0,0002
0
0
0
0
0
0
0
0
0
0
0,0040
0,0002
0,0001
0,0000
0
0,0000
0,0000
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0001
0,0000
0,0001
2
0,26-0,5
0
0
0
0
0
0,0000
0
0
0
0
0
0,0009
0,0069
0,0003
0,0001
0
0,0000
0
0
0
0
0
0
0
0
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0000
0,0001
0,0000
0,0001
3
0,51-0,75
0,0004
0
0
0
0
0
0
0
0
0
0
0
0,0014
0,0051
0,0003
0,0001
0,0000
0,0000
0,0000
0
0
0
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0,76-1,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0018
0,0034
0,0003
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1,01-1,5
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0001
0,0017
0,0073
0,0002
0,0001
0,0000
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1,51-2,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0018
0,0050
0,0002
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
2,01-3,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0017
0,0057
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
3,01-4,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0014
0,0052
0,0001
0
0
0
0
0
0
0
0
0
0
0
0,0000
0
0
0
0
0
0
0
0
0
9
4,01-5,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0015
0,0031
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
5,01-6,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0014
0,0022
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
6,01-7,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0014
0,0017
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
7,01-8,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0012
0,0030
0,0003
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
8,01-9,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0002
0,0015
0,0032
0
0
0,0011
0
0
0
0
0
0
0
0
0
0
0
0
0
0
14
9,01-9,99
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0025
0,0020
0
0
0
0
0,0001
0
0
0
0
0
0,0006
0
0
0
0
0
15
10,0-11,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0028
0,0024
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
11,01-12,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0004
0,0019
0,0023
0,0004
0
0
0
0
0
0
0
0
0
0
0
0
0
17
12,01-13,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0009
0,0007
0,0042
0
0
0
0,0003
0
0
0
0
0
0
0
0
0
18
13,01-14,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0014
0,0022
0
0
0
0
0
0
0
0
0
0
0
0
19
14,01-15,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0006
0,0022
0,0006
0,0003
0
0,0002
0
0
0
0
0
0
0
20
15,01-16,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0009
0,0019
0
0,0003
0
0
0
0
0
0
0
0
21
16,01-17,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0010
0
0
0,0006
0,0006
0,0026
0,0004
0
0
0
0
0
0
0
0
22
17,01-18,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0014
0,0019
0,0006
0,0004
0
0
0
0
0
0
23
18,01-19,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0009
0
0
0,0006
0,0016
0,0037
0
0
0
0
0
0
0
24
19,01-20,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0005
0,0108
0,0034
0
0
0
0,0027
0
25
20,01-21,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0010
0,0038
0,0224
0
0
0,0082
0,0050
0
26
21,01-22,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0024
0,0139
0,0289
0,0060
0,0156
0
0
27
22,01-23,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0169
0,0370
0,0474
0,0163
0
28
23,01-24,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0054
0,0674
0,2680
0,0052
0,0119
29
24,01-25,0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0008
0
0
0,0123
0,0070
0,0183
0,0201
0,0082
30
>25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0,0032
0
0
0,0173
0,1609
0,0035
0,0030
0,0035
0,0025
0,0018
0,0030
0,0017
0,0015
0,0010
0,0013
0,0021
0,0050
0,0086
0,0074
0,0056
0,0094
0,0070
0,0074
0,0067
0,0045
0,0035
0,0030
0,0045
0,0060
0,0052
0,0052
0,0050
0,0061
0,0037
0,0038
0,0031
0,0052
0,0043
0,0067
0,0174
0,0403
0,0668
0,1175
0,3579
0,0667
0,1815
17