Appendix IModel comparison andselection
Note: all tables in AppendixI share the same rules which are as follows:
-AM: abundance model; OM: occurrence model; ZTNB: Zero Truncated Negative Binomial; Logit: Logistic; LL: log10 likelihood;
-d: diameter; m: month; se: season; p: patch; s: soil depth; a: altitude; × denotes interactions; denotes the ideal model that adopted in this paper;
-NA: not applicable due to the definition of the corresponding test or too few data;
-# denotesa month in AM which has not been calibrated; ## denotesa month in OM which has not been calibrated;
-In the column of “LL”, asterisks at Xth step denotes the significance of the likelihood test on the comparison between a model of Xth step and that of (X-1)th step(Significance codes:* = p < 0.05, ** = p < 0.01, *** = p < 0.001).
Hurdle model / Zero-inflated modelStep / AM
(ZTNB) / OM
(Logit) / LL / Df / AIC / BIC / Step / AM
(NB) / OM
(Logit) / LL / Df / AIC / BIC
0 / 1 / 1 / -1670NA / 3 / 3230 / 3349 / 0 / 1 / 1 / -1618NA / 3 / 3241 / 3245
1# / d+m+a+p+s / d+m+a+p+s / -1300*** / 41 / 2681 / 2729 / 1 / d+m+a+p+s / d+m+a+p+s / -1299*** / 41 / 2680 / 2727
2 / d+se+a+p+s / d+m+a+p+s / -1317NA / 33 / 2701 / 2738 / 2 / d+m+a+p+s+a×p / d+m+a+p+s+a×p / -1249*** / 43 / 2585 / 2633
3 / d+se+a+p+s+a×p / d+m+a+p+s+a×p / -1287*** / 35 / 2645 / 2684 / 3 / d+m+a+p+s+a×p+a×s / d+m+a+p+s+a×p / -1237*** / 47 / 2568 / 2622
4 / d+se+a+p+s+a×p+a×s / d+m+a+p+s+a×p+a×s / -1268*** / 43 / 2623 / 2671 / 4 / d+m+a+p+s+a×p+a×s+a×d / d+m+a+p+s+a×p+a×d / -1220*** / 51 / 2543 / 2601
5 / d+se+a+p+s+a×p+a×s+a×d / d+m+a+p+s+a×p+a×s+a×d / -1262* / 47 / 2619 / 2672 / 5 / d+m+a+p+s+a×p+a×s+a×d+p×s / d+m+a+p+s+a×p+a×d / -1217 / 57 / 2543 / 2609
6 / d+se+a+p+s+a×p+a×s+a×d / d+m+a+p+s+a×p+a×s+a×d+p×s / -1254** / 51 / 2610 / 2669 / 6## / d+m+a+p+s+a×p+a×s+a×d+p×s+d×s / d+m+a+p+s+a×p+a×d / -1208** / 63 / 2541 / 2614
7 / d+se+a+p+s+a×p+a×s+a×d+d×s / d+m+a+p+s+a×p+a×s+a×d+p×s / -1247 / 59 / 2612 / 2680 / 7 / d+m+a+p+s+a×p+a×s+a×d+p×s+d×s / d+se+a+p+s+a×p+a×d / -1223 / 55 / 2556 / 2619
8 / d+se+a+p+s+a×p+a×s+a×d+se×d / d+m+a+p+s+a×p+a×s+a×d+p×s / -1251 / 57 / 2619 / 2681
Vuong test: H6 < ZI4 (p0.001**)
Appendix IamRIQ(number of roots /0.2 m², N=1377, 1020 are zeros) for the database “12 MONTHS”
Appendix IbmRIQ(number of roots /0.2 m², N=1113, 924 are zeros) for the database “2 WINTERS”
Hurdle model / Zero-inflated modelStep / AM
(ZTNB) / OM
(Logit) / LL / Df / AIC / BIC / Step / AM
(NB) / OM
(Logit) / LL / Df / AIC / BIC
0 / 1 / 1 / -968NA / 3 / 1942 / 1945 / 0 / 1 / 1 / -970NA / 3 / 1946 / 1949
1 / d+w+m+a+p+s / d+w+m+a+p+s / -797*** / 29 / 1652 / 1685 / 1## / d+w+m+a+p+s / d+w+m+a+p+s / -776*** / 29 / 1610 / 1643
2# / d+w+m+a+p+s+w×m / d+w+m+a+p+s+w×m / -767*** / 37 / 1608 / 1650 / 2 / d+w+m+a+p+s+a×p / d+w+m+a+p+s+a×p / -758 / 31 / 1577 / 1614
3 / d+w+m+a+p+s / d+w+m+a+p+s+w×m / -778*** / 33 / 1622 / 1660 / 3 / d+w+m+a+p+s+a×p / d+w+m+a+p+s / -758 / 30 / 1575 / 1610
4 / d+w+m+a+p+s+a×p / d+w+m+a+p+s+w×m+a×p / -760*** / 35 / 1590 / 1630 / 4 / d+w+m+a+p+s+a×p+w×m / d+w+m+a+p+s / -747 / 34 / 1562 / 1601
5 / d+w+m+a+p+s+a×p+w×a / d+w+m+a+p+s+w×m+a×p+w×a / -738*** / 37 / 1549 / 1592 / 5 / d+w+m+a+p+s+a×p+w×m / d+w+a+p / -752 / 26 / 1557 / 1586
6 / d+w+m+a+p+s+a×p+w×a / d+w+m+a+p+s+w×m+a×p+w×a+w×d / -732** / 39 / 1542 / 1587 / 6## / d+w+m+a+p+s+a×p+w×m / d+a+p / -788 / 35 / 1626 / 1686
7 / d+w+m+a+p+s+a×p+w×a / d+w+m+a+p+s+w×m+a×p+w×a+w×d+d×s / -726 / 48 / 1548 / 1603
Vuong test: H6 > ZI5 (p0.01**)
Appendix IcmRMQ(number of roots /0.2 m², N=1377, 1234 are zeros) for the database “12 MONTHS”
Hurdle model / Zero-inflated modelStep / AM
(ZTNB) / OM
(Logit) / LL / Df / AIC / BIC / Step / AM
(NB) / OM
(Logit) / LL / Df / AIC / BIC
0 / 1 / 1 / -783NA / 3 / 1571 / 1575 / 0 / 1 / 1 / -785NA / 3 / 1575 / 1579
1# / d+m+a+p+s / d+m+a+p+s / -578*** / 37 / 1231 / 1272 / 1# / d+m+a+p+s / d+m+a+p+s / -573*** / 37 / 1219 / 1262
2# / d+se+a+p+s / d+m+a+p+s / -585NA / 30 / 1229 / 1264 / 2# / d+m+a+p+s / d+se+a+p / -580NA / 26 / 1211 / 1242
3# / d+se+a+p+s+a×p / d+m+a+p+s+a×p / -566*** / 32 / 1195 / 1233 / 3# / d+m+a+p+s+a×p / d+se+a+p+a×p / -563*** / 28 / 1183 / 1214
4# / d+se+a+p+s+a×p / d+m+a+p+s+a×p+a×s / -556*** / 36 / 1185 / 1225 / 4# / d+m+a+p+s+a×p+a×d / d+se+a+p+a×p / -561* / 29 / 1180 / 1213
5 / d+se+a+p+s+a×p+a×d / d+m+a+p+s+a×p+a×s+a×d / -556 / 38 / 1185 / 1232 / 5# / d+m+a+p+s+a×p+a×d+a×s / d+se+a+p+a×p / -554** / 33 / 1174 / 1212
6 / d+m+a+p+s+a×p+a×d+a×s+d×s / d+se+a+p+a×p / -550 / 37 / 1174 / 1216
7 / d+m+a+p+s+a×p+a×d+a×s+d×s / d+se+a+p+a×p+d×p / -550 / 38 / 1176 / 1220
8 / d+m+a+p+s+a×p+a×d+a×s+d×s / d+se+a+p+a×p+d×p+p×se / -546* / 41 / 1174 / 1221
Vuong test: no significant difference between ZI4 & H5(p0.05)
Appendix IdmRMQ(number of roots /0.2 m², N=1113, 1041 are zeros) for the database of “2 WINTERS”
Hurdle model / Zero-inflated modelStep / AM
(ZTNB) / OM
(Logit) / LL / Df / AIC / BIC / Step / AM
(NB) / OM
(Logit) / LL / Df / AIC / BIC
0 / 1 / 1 / -458NA / 3 / 923 / 925 / 0 / 1 / 1 / -459NA / 3 / 923 / 927
1 / d+m+w+a+p+s / d+m+w +a+p+s / -357*** / 25 / 764 / 793 / 1 / d+m+w+a+p+s / d+m+w+a+p+s / -354*** / 25 / 752 / 787
2 / d+m+w+a+p+s+a×p / d+m+w +a+p+s+a×p / -346*** / 27 / 745 / 777 / 2 / d+m+w+a+p+s+a×p / d+m+w+a+p+s / -345*** / 26 / 742 / 772
3 / d+m+w+a+p+s+a×p / d+m+w +a+p+s+a×p+a×w / -333*** / 28 / 721 / 754 / 3 / d+m+w+a+p+s+a×p+m×w / d+m+w+a+p+s / -328*** / 29 / 714 / 747
4 / d+m+w+a+p+s+a×p / d+m+w +a+p+s+a×p+a×w+m×w / -319*** / 31 / 699 / 736 / 4# / d+m+w+a+p+s+a×p+m×w+a×w / d+m+w+a+p+s / -320*** / 30 / 700 / 734
5 / d+m+a+p+s+a×p / d+m+w +a+p+s+a×p+a×w+m×w / -319 / 30 / 697 / 732 / 5# / d+m+w+a+p+s+a×p+m×w+a×w / d+m+w+a+p / -323 / 26 / 697 / 728
6# / d+m+w+a+p+s+a×p+m×w+a×w / m+w+a+p+a×w / -314*** / 28 / 683 / 716
Vuong test: no significant difference between H5 & ZI6 (p0.05)
Appendix IIParameter estimation of all selected models in Appendix I
Note: all tables in AppendixII share the same rules which are as follows:
-Each regression consists of two parts: abundance model (AM, upper part) and occurrence model (OM, lower part);
-Attention should be paid when interpretingthe sign of estimates of parameter in the OM of Hurdle (H) and Zero-inflated (ZI) models: estimate0 with a significance <0.05 signifies a greater probability of observing a positive count in H model (i.e. non-zero case in H) but a zero count for ZI model (extra zero case in ZI);
-d: diameter; m: month; se : season; p: patch; s: soil depth; a: altitude; × denoted interactions; denotes the ideal model selected in Appendix I;
-Reference class: diameter: ]2, 5] mm for mRIQ and ]1, 5] mm for mRMQ; season: March–May; patch: gap(G); soil depth: ]0.0, 0.2] m; p × a: G × 1700 m; s × a: ]0.0, 0.2] m × 1700 m; d × a: ]2, 5] mm × 1700 m; p × s: TI × ]0.0, 0.2] m; m × w: October × Winter 2010–2011; a × w: 1400 m × Winter 2010–2011; d × w: ]2, 5] mm × Winter 2010–2011;
-Asterisks indicate the significance of a class compared to the reference class (Significance codes: * = p < 0.05, ** = p < 0.01, *** = p < 0.001;
-NA: not applicable.
Appendix IIamRIQ, 12MONTHS, Hurdle model, step 6
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]1, 2] mm / 1.854 / 0.356 / 5.212***
d / ]0, 1] mm / 2.169 / 0.362 / 5.985***
se / June–August / 0.062 / 0.271 / 0.230
se / September–November / 0.108 / 0.280 / 0.384
se / December–February / -2.154 / 0.475 / -4.536***
p / TI / -1.533 / 0.295 / -5.191***
s / ]0.2, 0.4] m / 0.550 / 0.308 / 1.782
s / ]0.4, 0.6] m / -0.134 / 0.324 / -0.413
s / ]0.6, 0.8] m / -1.260 / 0.405 / -3.112**
s / ]0.8, 1.0] m / -1.561 / 0.440 / -3.548***
a / 1700 m / 0.637 / 0.546 / 1.167
p × a / TI × 1700 m / 1.781 / 0.403 / 4.419***
s × a / ]0.2, 0.4] m × 1700 m / -0.863 / 0.445 / -1.940
s × a / ]0.4, 0.6] m × 1700 m / -1.490 / 0.491 / -3.031**
s × a / ]0.6, 0.8] m × 1700 m / -0.810 / 0.787 / -1.029
s × a / ]0.8, 1.0] m × 1700 m / 0.026 / 0.961 / 0.027
d × a / ]1, 2] mm × 1700 m / -0.627 / 0.502 / -1.250
d × a / ]0, 1] mm × 1700 m / -1.465 / 0.533 / -2.747**
OM / d / ]1, 2] mm / 1.861 / 0.278 / 6.693***
d / ]0, 1] mm / 1.223 / 0.277 / 4.422***
m / April / 0.327 / 0.469 / 0.698
m / May / 1.001 / 0.440 / 2.274*
m / June / 1.469 / 0.429 / 3.426***
m / July / 2.100 / 0.422 / 4.981***
m / August / 3.346 / 0.428 / 7.825***
m / September / 3.452 / 0.429 / 8.043***
m / October / 2.983 / 0.423 / 7.045***
m / November / 1.001 / 0.440 / 2.274*
m / December / 0.690 / 0.451 / 1.529
m / January / 0.000 / 0.490 / 0.000
m / February / -1.019 / 0.705 / -1.444
p / TI / -1.153 / 0.358 / -3.223**
s / ]0.2, 0.4] m / 1.499 / 0.374 / 4.011***
s / ]0.4, 0.6] m / 0.867 / 0.371 / 2.336*
s / ]0.6, 0.8] m / -0.083 / 0.391 / -0.212
s / ]0.8, 1.0] m / -0.363 / 0.399 / -0.909
a / 1700 m / 0.042 / 0.429 / 0.097
p × a / TI × 1700 m / 1.806 / 0.337 / 5.357***
s × a / ]0.2, 0.4] m × 1700 m / -1.734 / 0.441 / -3.929***
s × a / ]0.4, 0.6] m × 1700 m / -1.272 / 0.454 / -2.803**
s × a / ]0.6, 0.8] m × 1700 m / -2.154 / 0.572 / -3.769***
s × a / ]0.8, 1.0] m × 1700 m / -1.525 / 0.639 / -2.386*
d × a / ]1, 2] mm × 1700 m / -0.448 / 0.399 / -1.122
d × a / ]0, 1] mm × 1700 m / -0.842 / 0.414 / -2.034*
p × s / TI × ]0.2, 0.4] m / -0.721 / 0.437 / -1.648.
p × s / TI × ]0.4, 0.6] m / -1.247 / 0.456 / -2.737**
p × s / TI × ]0.6, 0.8] m / -1.704 / 0.581 / -2.931**
p × s / TI × ]0.8, 1.0] m / -2.071 / 0.650 / -3.188**
Appendix IIbmRIQ, 12MONTHS, Zero-inflated model, step 4
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]1, 2] mm / 1.872 / 0.207 / 9.058***
d / ]0, 1] mm / 2.211 / 0.221 / 10.017***
m / April / 1.792 / 0.485 / 3.692***
m / May / 2.128 / 0.441 / 4.826***
m / June / 1.902 / 0.429 / 4.434***
m / July / 1.696 / 0.433 / 3.916***
m / August / 2.314 / 0.420 / 5.505***
m / September / 2.356 / 0.419 / 5.629***
m / October / 1.806 / 0.420 / 4.295***
m / November / 0.620 / 0.450 / 1.377
m / December / -0.065 / 0.474 / -0.137
m / January / -0.982 / 0.547 / -1.795
m / February / -1.395 / 0.859 / -1.624
p / TI / -1.044 / 0.222 / -4.705***
s / ]0.2, 0.4] m / 0.980 / 0.206 / 4.765***
s / ]0.4, 0.6] m / 0.189 / 0.214 / 0.883
s / ]0.6, 0.8] m / -0.565 / 0.271 / -2.086*
s / ]0.8, 1.0] m / -0.905 / 0.289 / -3.138**
a / 1700 m / 0.869 / 0.350 / 2.481*
p × a / TI × 1700 m / 1.375 / 0.302 / 4.553***
s × a / ]0.2, 0.4] m × 1700 m / -1.249 / 0.306 / -4.083***
s × a / ]0.4, 0.6] m × 1700 m / -1.455 / 0.331 / -4.396***
s × a / ]0.6, 0.8] m × 1700 m / -1.593 / 0.523 / -3.045**
s × a / ]0.8, 1.0] m × 1700 m / -0.850 / 0.698 / -1.219
d × a / ]1, 2] mm × 1700 m / -0.563 / 0.334 / -1.685
d × a / ]0, 1] mm × 1700 m / -1.830 / 0.361 / -5.064***
OM / d / ]1, 2] mm / 1.125 / 1.255 / 0.896
d / ]0, 1] mm / 4.322 / 1.446 / 2.988**
m / April / 0.700 / 1.201 / 0.583
m / May / -0.925 / 1.101 / -0.840
m / June / -2.114 / 1.132 / -1.868
m / July / -3.712 / 1.426 / -2.603**
m / August / -5.742 / 1.482 / -3.875***
m / September / -8.845 / 2.548 / -3.472***
m / October / -7.103 / 1.821 / -3.900***
m / November / -4.126 / 1.633 / -2.527*
m / December / -6.759 / 2.546 / -2.655**
m / January / -4.205 / 2.046 / -2.055*
m / February / -3.274 / 3.079 / -1.063
p / TI / 8.180 / 1.535 / 5.330***
s / ]0.2, 0.4] m / 0.863 / 0.643 / 1.342
s / ]0.4, 0.6] m / 1.054 / 0.751 / 1.404
s / ]0.6, 0.8] m / 4.509 / 1.054 / 4.277***
s / ]0.8, 1.0] m / 5.167 / 1.135 / 4.555***
a / 1700 m / 9.310 / 2.048 / 4.546***
p × a / TI × 1700 m / -6.861 / 1.573 / -4.363***
d × a / ]1, 2] mm × 1700 m / -2.185 / 1.492 / -1.465
d × a / ]0, 1] mm × 1700 m / -5.529 / 2.004 / -2.759**
AppendixIIcmRIQ, 2 WINTERS, Hurdle model, step 6
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]1, 2] mm / 2.693 / 0.549 / 4.904***
d / ]0, 1] mm / 2.990 / 0.550 / 5.439***
m / November / -0.670 / 0.270 / -2.487*
m / December / -0.941 / 0.304 / -3.098**
m / January / -1.202 / 0.346 / -3.479***
m / February / -1.669 / 0.407 / -4.101***
p / TI / -1.897 / 0.325 / -5.830***
s / ]0.2, 0.4] m / 0.937 / 0.264 / 3.550***
s / ]0.4, 0.6] m / -0.093 / 0.291 / -0.320
s / ]0.6, 0.8] m / -0.092 / 0.332 / -0.278
s / ]0.8, 1.0] m / -0.914 / 0.403 / -2.268*
a / 1700 m / -4.797 / 1.140 / -4.210***
w / Winter 2010–2011 / -1.771 / 0.278 / -6.379***
p × a / TI × 1700 m / 1.534 / 0.542 / 2.832**
a × w / 1700 m × Winter 2010–2011 / 4.454 / 1.170 / 3.808***
OM / d / ]1, 2] mm / 2.677 / 0.525 / 5.102***
d / ]0, 1] mm / 2.628 / 0.525 / 5.005***
m / November / -0.241 / 0.492 / -0.490
m / December / -0.120 / 0.468 / -0.257
m / January / -0.443 / 0.482 / -0.919
m / February / -0.120 / 0.468 / -0.257
p / TI / -1.683 / 0.256 / -6.568***
s / ]0.2, 0.4] m / 0.531 / 0.277 / 1.914
s / ]0.4, 0.6] m / -0.300 / 0.294 / -1.023
s / ]0.6, 0.8] m / -0.907 / 0.316 / -2.872**
s / ]0.8, 1.0] m / -1.139 / 0.335 / -3.404***
a / 1700 m / -3.788 / 0.480 / -7.885***
w / Winter 2010–2011 / 2.555 / 0.648 / 3.942***
m × w / November × Winter 2010–2011 / -1.538 / 0.598 / -2.570*
m × w / December × Winter 2010–2011 / -1.950 / 0.591 / -3.298***
m × w / January × Winter 2010–2011 / -2.282 / 0.634 / -3.599***
m × w / February × Winter 2010–2011 / -3.643 / 0.803 / -4.540***
p × a / TI × 1700 m / 2.047 / 0.432 / 4.740***
a × w / 1700 m × Winter 2010–2011 / 2.244 / 0.496 / 4.529***
d × w / ]1, 2] mm × Winter 2010–2011 / -0.869 / 0.620 / -1.401
d × w / ]0, 1] mm × Winter 2010–2011 / -1.861 / 0.630 / -2.956**
Appendix IIdmRIQ, 2 WINTERS, Zero-inflated model, step 5
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]1, 2] mm / 1.963 / 0.342 / 5.748***
d / ]0, 1] mm / 1.669 / 0.339 / 4.925***
m / November / 0.103 / 0.427 / 0.241
m / December / -0.147 / 0.405 / -0.364
m / January / -0.269 / 0.421 / -0.640
m / February / -0.912 / 0.433 / -2.109*
p / TI / -1.923 / 0.255 / -7.539***
s / ]0.2, 0.4] m / 0.719 / 0.227 / 3.172**
s / ]0.4, 0.6] m / -0.344 / 0.255 / -1.351
s / ]0.6, 0.8] m / -0.736 / 0.270 / -2.725**
s / ]0.8, 1.0] m / -1.414 / 0.313 / -4.514***
a / 1700 m / -1.595 / 0.292 / -5.466***
w / Winter 2010–2011 / -0.561 / 0.360 / -1.557
p × a / TI × 1700 m / 2.402 / 0.402 / 5.981***
m × w / November × Winter 2010–2011 / -1.523 / 0.496 / -3.071**
m × w / December × Winter 2010–2011 / -1.790 / 0.498 / -3.592***
m × w / January × Winter 2010–2011 / -2.736 / 0.569 / -4.811***
m × w / February × Winter 2010–2011 / -2.674 / 0.712 / -3.756***
OM / d / ]1, 2] mm / -2.202 / 0.632 / -3.482***
d / ]0, 1] mm / -2.236 / 0.637 / -3.509***
p / TI / 1.286 / 0.439 / 2.928**
a / 1700 m / 2.915 / 0.473 / 6.163***
w / Winter 2010–2011 / -8.031 / 5.686 / -1.412
Appendix IIemRMQ, 12MONTHS, Hurdle model, step 4
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]0, 1] mm / 2.919 / 0.384 / 7.603***
se / June–August / 0.649 / 0.417 / 1.557
se / September–November / 0.557 / 0.486 / 1.144
se / December–February / NA / NA / -0.073
a / 1700 m / -2.287 / 0.476 / -4.810***
p / TI / -3.132 / 0.617 / -5.079***
s / ]0.2, 0.4] m / 0.010 / 0.384 / 0.025
s / ]0.4, 0.6] m / -0.637 / 0.411 / -1.552
s / ]0.6, 0.8] m / -3.350 / 0.746 / -4.489***
s / ]0.8, 1.0] m / -3.456 / 0.850 / -4.064***
p × a / TI × 1700 m / 4.268 / 0.824 / 5.182***
OM / d / ]0, 1] mm / 1.871 / 0.224 / 8.341***
m / April / 1.125 / 0.649 / 1.735
m / May / 1.254 / 0.641 / 1.954
m / June / 1.695 / 0.623 / 2.722**
m / July / 1.973 / 0.614 / 3.213**
m / August / 2.591 / 0.603 / 4.300***
m / September / 3.109 / 0.599 / 5.191***
m / October / 2.141 / 0.610 / 3.510***
m / November / -1.497 / 1.151 / -1.301
m / December / -0.766 / 0.907 / -0.845
m / January–February / -1.264 / 0.899 / -1.405
a / 1700 m / -0.396 / 0.434 / -0.913
p / TI / -2.114 / 0.318 / -6.648***
s / ]0.2, 0.4] m / 0.609 / 0.394 / 1.547
s / ]0.4, 0.6] m / 0.165 / 0.406 / 0.406
s / ]0.6, 0.8] m / -0.573 / 0.441 / -1.300
s / ]0.8, 1.0] m / -1.367 / 0.504 / -2.711**
p × a / TI × 1700 m / 1.702 / 0.465 / 3.658***
s × a / ]0.2, 0.4] m × 1700 m / -1.166 / 0.564 / -2.068*
s × a / ]0.4, 0.6] m × 1700 m / -1.239 / 0.598 / -2.072*
s × a / ]0.6, 0.8] m × 1700 m / -3.200 / 1.140 / -2.806**
s × a / ]0.8, 1.0] m × 1700 m / NA / NA / -0.017
AppendixIIfmRMQ, 12MONTHS, Zero-inflated model, step 5
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]0, 1] mm / 2.728 / 0.286 / 9.544***
m / April / 1.375 / 0.646 / 2.126*
m / May / 2.490 / 0.598 / 4.164***
m / June / 2.603 / 0.590 / 4.409***
m / July / 2.724 / 0.601 / 4.533***
m / August / 2.319 / 0.607 / 3.817***
m / September / 2.417 / 0.607 / 3.984***
m / October / 1.763 / 0.606 / 2.910**
m / November / -2.471 / 1.174 / -2.104*
m / December / -1.693 / 0.941 / -1.800
m / January–February / -2.302 / 0.921 / -2.498*
a / 1700 m / -0.127 / 0.507 / -0.250
p / TI / -1.799 / 0.393 / -4.574***
s / ]0.2, 0.4] m / 0.638 / 0.310 / 2.057*
s / ]0.4, 0.6] m / -0.107 / 0.320 / -0.334
s / ]0.6, 0.8] m / -1.705 / 0.436 / -3.914***
s / ]0.8, 1.0] m / -2.313 / 0.477 / -4.851***
p × a / TI × 1700 m / 2.272 / 0.524 / 4.339***
d × a / ]0, 1] mm / -0.784 / 0.423 / -1.854
s × a / ]0.2, 0.4] m × 1700 m / -1.335 / 0.490 / -2.725**
s × a / ]0.4, 0.6] m × 1700 m / -1.244 / 0.539 / -2.308*
s × a / ]0.6, 0.8] m × 1700 m / -1.932 / 0.924 / -2.092*
s × a / ]0.8, 1.0] m × 1700 m / NA / NA / -0.032
OM / d / ]0, 1] mm / -0.942 / 0.641 / -1.468
se / June–August / -1.123 / 0.650 / -1.728
se / September–November / NA / NA / -0.002
se / December–February / NA / NA / -0.005
a / 1700 m / 2.046 / 0.898 / 2.278*
p / TI / 3.684 / 0.972 / 3.790***
p × a / TI × 1700 m / -2.570 / 1.165 / -2.206*
AppendixIIgmRMQ, 2 WINTERS, Hurdle model,step 5
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]0, 1] mm / 3.911 / 0.476 / 8.224***
m / November / 0.885 / 0.303 / 2.916**
m / December / 1.129 / 0.297 / 3.805***
m / January–February / 0.799 / 0.243 / 3.289**
p / TI / -2.101 / 0.277 / -7.573***
s / ]0.2, 0.4] m / 0.704 / 0.233 / 3.023**
s / ]0.4, 0.6] m / -0.346 / 0.270 / -1.283
s / ]0.6, 0.8] m / -0.762 / 0.311 / -2.449*
s / ]0.8, 1.0] m / -2.166 / 0.592 / -3.661***
a / 1700 m / -1.482 / 0.553 / -2.681**
p × a / TI × 1700 m / 2.979 / 0.663 / 4.496***
OM / d / ]0, 1] mm / 1.510 / 0.282 / 5.353***
m / November / 0.354 / 0.597 / 0.592
m / December / 0.427 / 0.573 / 0.747
m / January–February / 0.292 / 0.516 / 0.566
p / TI / -1.251 / 0.342 / -3.664***
s / ]0.2, 0.4] m / 0.282 / 0.377 / 0.749
s / ]0.4, 0.6] m / -0.420 / 0.413 / -1.018
s / ]0.6, 0.8] m / -0.848 / 0.447 / -1.899
s / ]0.8, 1.0] m / -1.415 / 0.519 / -2.726**
a / 1700 m / -4.909 / 1.097 / -4.476***
w / Winter 2010–2011 / 0.473 / 0.561 / 0.844
p × a / TI × 1700 m / 1.592 / 0.735 / 2.166*
a × w / 1700 m × Winter 2010–2011 / 3.922 / 1.119 / 3.505***
m × w / November × Winter 2010–2011 / -3.740 / 1.206 / -3.101**
m × w / December × Winter 2010–2011 / -3.099 / 0.963 / -3.219**
m × w / January–February × Winter 2010–2011 / -3.507 / 0.925 / -3.792***
Appendix IIhmRMQ, 2 WINTERS, Zero-inflated model, step 6
Part / Factor / Class / Estimate / Std. Error / z valueAM / d / ]0, 1] mm / 3.341 / 0.254 / 13.136***
m / November / 1.135 / 0.331 / 3.432***
m / December / 1.391 / 0.325 / 4.280***
m / January–February / 1.143 / 0.302 / 3.792***
p / TI / -2.205 / 0.226 / -9.758***
s / ]0.2, 0.4] m / 0.661 / 0.195 / 3.399***
s / ]0.4, 0.6] m / -0.435 / 0.223 / -1.947
s / ]0.6, 0.8] m / -0.922 / 0.254 / -3.637***
s / ]0.8, 1.0] m / -2.375 / 0.456 / -5.206***
a / 1700 m / 1.226 / 1.271 / 0.965
w / Winter 2010–2011 / 0.216 / 0.355 / 0.608
p × a / TI × 1700 m / 3.453 / 0.550 / 6.277***
m × w / November × Winter 2010–2011 / 0.066 / 1.443 / 0.046
m × w / December × Winter 2010–2011 / 2.339 / 1.008 / 2.320*
m × w / January–February × Winter 2010–2011 / -6.131 / 0.792 / -7.745***
a × w / 1700 m × Winter 2010–2011 / -2.585 / 1.366 / -1.892
OM / m / November / 0.378 / 0.796 / 0.475
m / December / 0.528 / 0.761 / 0.694
m / January–February / 0.494 / 0.711 / 0.695
a / 1700 m / 5.188 / 1.050 / 4.940***
w / Winter 2010–11 / -0.465 / 0.848 / -0.548
m × w / November × Winter 2010–2011 / 3.817 / 1.430 / 2.670**
m × w / December × Winter 2010–2011 / 3.529 / 1.140 / 3.096**
m × w / January–February × Winter 2010–2011 / NA / NA / -0.028
a × w / 1700 m × Winter 2010–2011 / -4.216 / 1.246 / -3.383***