Ecological Archives E080-010-A1

Ecological Archives E080-010-A1

William A. Hoffman. 1999. Fire and population dynamics of woody plants in a Neotropical savanna: matrix model projections. Ecology 80:1354-1369.

Appendix

Matrices used in the models

At least three matrices were constructed for each species: Unburn, Burn, and Year After Burn, as described in Methods. For several species, the models included additional matrices for the second and/or third years after burning. In these cases, the additional matrices are identical to the Unburn matrix, except for the fecundity values. To save space, only the upper rows of these matrices are given.

Matrices for each species:

Periandra mediterranea
Miconia albicans
Rourea induta
Myrsine guianensis
Roupala montana

Periandra mediterranea

Unburn Matrix

	0-0.9mm	1-1.9mm	2-2.9mm	3-3.9mm	4-4.9mm	5-5.9mm	6-6.9mm	7+mm
0-0.9mm	0.685	0.0345	0.0955	0.290	0.523	0.559	0.982	1.540
1-1.9mm	0.212	0.655	0	0.118	0.100	0	0.091	0.095
2-2.9mm	0	0.207	0.5385	0.118	0.050	0.100	0	0
3-3.9mm	0	0.0345	0.385	0.353	0.250	0	0	0
4-4.9mm	0	0	0.077	0.294	0.350	0.100	0	0
5-5.9mm	0	0	0	0	0.150	0.300	0	0.048
6-6.9mm	0	0	0	0	0.050	0.500	0.364	0.095
7+ mm	0	0	0	0	0	0	0.5455	0.762

Burn Matrix

	0-0.9mm	1-1.9mm	2-2.9mm	3-3.9mm	4-4.9mm	5-5.9mm	6-6.9mm	7+mm
0-0.9mm	0.324	0.082	0.034	0.020	0.012	0.067	0.037	0.058
1-1.9mm	0.155	0.694	0.233	0.124	0.050	0.000	0.059	0.133
2-2.9mm	0	0.153	0.515	0.382	0.375	0.273	0.353	0.267
3-3.9mm	0	0	0.1515	0.326	0.375	0.273	0.412	0.244
4-4.9mm	0	0	0.040	0.101	0.175	0.136	0.059	0.244
5-5.9mm	0	0	0.010	0.034	0	0.091	0.059	0
6-6.9mm	0	0	0	0	0	0	0	0.022
7+ mm	0	0	0	0	0	0	0	0

Year-After-Burn Matrix

	0-0.9mm	1-1.9mm	2-2.9mm	3-3.9mm	4-4.9mm	5-5.9mm	6-6.9mm	7+mm
0-0.9mm	0.483	0.031	0.0955	0.232	0.523	0.559	0.981	1.540
1-1.9mm	0.379	0.609	0.027	0.000	0	0	0.091	0.095
2-2.9mm	0	0.266	0.338	0.0435	0	0.100	0	0
3-3.9mm	0	0.031	0.473	0.304	0.167	0	0	0
4-4.9mm	0	0	0.162	0.391	0	0.100	0	0
5-5.9mm	0	0	0	0.261	0.333	0.300	0	0.048
6-6.9mm	0	0	0	0	0.167	0.500	0.364	0.095
7+ mm	0	0	0	0	0.333	0	0.5455	0.762

Miconia albicans

Unburn Matrix

	seeds	seedling		0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25+mm
seeds	0.259		0	0	0	0.940	31.37	248.0	763.9	1331	2463	4182	6207	9039
seedlings	0.003		0	0	0	0.012	0.395	3.123	9.621	16.76	31.02	52.67	78.17	113.8
0-0.9mm	0		0.233	0.438	0.008	0	0	0	0	0	0	0	0	0
1-1.9mm	0		0	0.084	0.750	0.014	0	0	0	0	0	0	0	0
2-3.9mm	0		0	0	0.230	0.755	0.0403	0.014	0.010	0	0	0	0	0
4-5.9mm	0		0	0	0	0.226	0.495	0.035	0	0	0	0	0	0
6-7.9mm	0		0	0	0	0.005	0.425	0.322	0.048	0	0	0	0	0
8-9.9mm	0		0	0	0	0	0.037	0.545	0.429	0.034	0	0	0	0
10-11.9mm	0		0	0	0	0	0	0.077	0.381	0.276	0.014	0	0	0
12-15.9mm	0		0	0	0	0	0	0	0.133	0.672	0.653	0.020	0	0
16-19.9mm	0		0	0	0	0	0	0	0	0.017	0.319	0.560	0	0
20-24mm	0		0	0	0	0	0	0	0	0	0.014	0.420	0.562	0.050
25+mm	0		0	0	0	0	0	0	0	0	0	0	0.375	0.950

Burn Matrix

	seeds	seedling		0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25+mm
seeds	0.029		0	0	0	0	0	0	0	0	0	0	0	0
seedlings	0		0	0	0	0	0	0	0	0	0	0	0	0
0-0.9mm	0		0	0.008	0.017	0	0.004	0.007	0	0	0	0	0	0
1-1.9mm	0		0	0.008	0.454	0.0576	0.004	0.014	0	0.014	0	0.029	0	0
2-3.9mm	0		0	0	0.149	0.777	0.659	0.453	0.308	0.219	0.220	0.059	0.077	0.189
4-5.9mm	0		0	0	0	0.0422	0.227	0.419	0.596	0.671	0.610	0.471	0.538	0.378
6-7.9mm	0		0	0	0	0	0.004	0.047	0.058	0.055	0.134	0.324	0.231	0.162
8-9.9mm	0		0	0	0	0	0	0	0.010	0	0	0	0	0.027
10-11.9mm	0		0	0	0	0	0	0	0	0.014	0	0	0	0
12-15.9mm	0		0	0	0	0	0	0	0	0	0	0	0	0
16-19.9mm	0		0	0	0	0	0	0	0	0	0	0	0	0.027
20-24mm	0		0	0	0	0	0	0	0	0	0	0	0.078	0
25+mm	0		0	0	0	0	0	0	0	0	0	0	0	0.216

Year-After-Burn Matrix

	seeds	seedling		0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25+mm
seeds	0.259		0	0	0	0	0	0	0	0	0	4378	4378	4378
seedling	0.003		0	0	0	0	0	0	0	0	0	113.7	113.7	113.7
0-0.9mm	0		0.189	0.667	0	0	0	0	0	0	0	0	0	0
1-1.9mm	0		0	0.333	0.667	0.043	0	0	0	0	0	0	0	0
2-3.9mm	0		0	0	0.289	0.678	0.014	0	0.010	0	0	0	0	0
4-5.9mm	0		0	0	0	0.221	0.333	0	0	0	0	0	0	0
6-7.9mm	0		0	0	0	0.029	0.420	0.111	0.048	0	0	0	0	0
8-9.9mm	0		0	0	0	0.005	0.203	0.556	0.429	0.034	0	0	0	0
10-11.9mm	0		0	0	0	0	0.029	0.333	0.381	0.276	0.014	0	0	0
12-15.9mm	0		0	0	0	0	0	0	0.133	0.672	0.653	0.020	0	0
16-19.9mm	0		0	0	0	0	0	0	0	0.017	0.319	0.569	0	0
20-24mm	0		0	0	0	0	0	0	0	0	0.014	0.412	0.562	0
25+mm	0		0	0	0	0	0	0	0	0	0	0	0.375	1.000

2^nd and 3^rd years after burning (upper two rows only)

	seeds	seedling		0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25+mm
seeds	0		0	0	0	7.787	341.9	1841	3969	15113	9161	9161	9161	9161
seedling	0		0	0	0	0.151	6.617	35.63	76.82	292.5	177.3	177.3	177.3	177.3

Rourea induta

Unburn Matrix:

	seedling	sucker	0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25-30mm	30+mm
seedling	0	0	0	0	0.002	0.007	0.021	0.055	0.102	0.139	0.176	0.191	0.203	0.214
sucker	0	0	0	0.001	0.002	0.004	0.007	0.011	0.016	0.021	0.036	0.052	0.072	0.096
0-0.9mm	0.833	0.043	0.883	0.151	0	0	0	0	0	0	0	0	0	0
1-1.9mm	0	0.391	0.043	0.791	0.079	0	0	0	0	0	0	0	0	0
2-3.9mm	0	0.348	0	0.047	0.810	0.139	0.024	0.024	0.056	0	0	0	0	0
4-5.9mm	0	0	0	0	0.087	0.733	0.082	0.071	0	0	0	0	0	0
6-7.9mm	0	0.087	0	0	0	0.129	0.765	0.024	0	0.013	0	0	0	0
8-9.9mm	0	0	0	0	0	0	0.106	0.762	0.028	0	0	0	0	0
10-11.9mm	0	0	0	0	0	0	0.012	0.119	0.778	0	0	0	0	0
12-15.9mm	0	0	0	0	0	0	0	0	0.083	0.861	0	0	0	0
16-19.9mm	0	0	0	0	0	0	0	0	0	0.127	0.891	0	0	0
20-24mm	0	0	0	0	0	0	0	0	0	0	0.091	0.909	0	0
25-30mm	0	0	0	0	0	0	0	0	0	0	0	0.091	0.918	0
30+mm	0	0	0	0	0	0	0	0	0	0	0	0	0.082	0.967

Burn Matrix

	seedling	sucker	0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25-30mm	30+mm
seedling	0	0	0	0	0	0	0	0	0	0	0	0	0	0
sucker	0	0	0.001	0.006	0.018	0.043	0.076	0.115	0.161	0.213	0.368	0.535	0.749	0.992
0-0.9mm	0.667	0.273	0.815	0.074	0.005	0	0	0	0	0	0	0	0	0
1-1.9mm	0	0.273	0.099	0.668	0.091	0.010	0	0	0.011	0	0	0	0	0
2-3.9mm	0	0.364	0	0.218	0.561	0.274	0.149	0.139	0.086	0.058	0.032	0.048	0	0.010
4-5.9mm	0	0	0	0.010	0.258	0.535	0.413	0.328	0.247	0.307	0.211	0.072	0.091	0.071
6-7.9mm	0	0	0	0	0.040	0.107	0.264	0.320	0.280	0.277	0.253	0.277	0.164	0.152
8-9.9mm	0	0	0	0	0.010	0.037	0.085	0.090	0.161	0.146	0.242	0.181	0.127	0.121
10-11.9mm	0	0	0	0	0	0.010	0.045	0.041	0.129	0.102	0.137	0.108	0.218	0.121
12-15.9mm	0	0	0	0	0	0.010	0.015	0.057	0.075	0.088	0.042	0.205	0.145	0.081
16-19.9mm	0	0	0	0	0	0	0	0	0	0.007	0.021	0.024	0.036	0.030
20-24mm	0	0	0	0	0	0	0	0	0	0	0	0	0.018	0
25-30mm	0	0	0	0	0	0	0	0	0	0	0	0.024	0.091	0.010
30+mm	0	0	0	0	0	0	0	0	0	0	0	0.012	0.091	0.374

Year-After-Burn Matrix

	seedling	sucker	0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25-30mm	30+mm
seedling	0	0	0	0.001	0.003	0.010	0.032	0.083	0.153	0.208	0.264	0.285	0.304	0.321
sucker	0	0	0	0.001	0.003	0.008	0.014	0.022	0.031	0.040	0.070	0.102	0.142	0.188
0-0.9mm	0.833	0.043	0.708	0.010	0	0	0	0	0	0	0	0	0	0
1-1.9mm	0	0.391	0.250	0.802	0.048	0	0	0	0	0	0	0	0	0
2-3.9mm	0	0.348	0	0.156	0.807	0.109	0	0	0	0	0	0	0	0
4-5.9mm	0	0	0	0	0.106	0.627	0.074	0.022	0	0	0	0	0	0
6-7.9mm	0	0.087	0	0	0.005	0.197	0.454	0.022	0	0	0	0	0	0
8-9.9mm	0	0	0	0	0	0.041	0.250	0.239	0	0	0	0	0	0
10-11.9mm	0	0	0	0	0	0.016	0.167	0.304	0.188	0	0	0	0	0
12-15.9mm	0	0	0	0	0	0	0.046	0.326	0.500	0.071	0	0	0	0
16-19.9mm	0	0	0	0	0	0	0	0.065	0.250	0.500	0.909	0	0	0
20-24mm	0	0	0	0	0	0	0	0	0.063	0.429	0.091	0.895	0	0
25-30mm	0	0	0	0	0	0	0	0	0	0	0	0.088	0.800	0
30+mm	0	0	0	0	0	0	0	0	0	0	0	0	0.200	1.000

Two Years After Burn (Upper two rows only)

	seedling		sucker	0-0.9mm	1-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-11.9mm	12-15.9mm	16-19.9mm	20-24mm	25-30mm	30+mm
seedling	0	0		0	0	0.004	0.013	0.042	0.108	0.199	0.272	0.344	0.372	0.397	0.419
sucker	0	0		0	0.001	0.002	0.004	0.007	0.011	0.0156	0.021	0.036	0.052	0.072	0.096

Myrsine guianensis

Unburn Matrix

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70-99mm	100+mm
seedling	0	0	0	0	0	0	0	0.004	0.011	0.039	0.134	0.358	1.102	3.774	8.082
sucker	0	0	0.001	0.009	0.023	0.043	0.068	0.124	0.229	0.438	0.808	1.277	2.157	4.069	6.508
1-1.9mm	0.574	0.439	0.660	0.022	0	0	0	0	0	0	0	0	0	0	0
2-3.9mm	0	0.320	0.216	0.749	0.070	0.022	0.018	0	0	0	0	0	0	0	0
4-5.9mm	0	0.041	0.010	0.150	0.688	0.146	0	0.026	0	0	0	0	0	0	0
6-7.9mm	0	0	0	0.018	0.188	0.506	0.071	0.013	0.0155	0	0	0	0	0	0
8-9.9mm	0	0	0	0	0.031	0.247	0.553	0.0391	0	0	0	0	0	0	0
10-14.9mm	0	0	0	0	0	0.034	0.321	0.688	0	0	0	0	0	0	0
15-19.9mm	0	0	0	0	0	0	0.018	0.221	0.731	0	0	0	0	0	0
20-29mm	0	0	0	0	0	0	0	0	0.254	0.738	0	0	0	0	0
30-39mm	0	0	0	0	0	0	0	0	0	0.262	0.769	0	0	0	0
40-49mm	0	0	0	0	0	0	0	0	0	0	0.231	0.655	0	0	0
50-69mm	0	0	0	0	0	0	0	0	0	0	0	0.345	0.818	0	0
70-99mm	0	0	0	0	0	0	0	0	0	0	0	0	0.182	0.913	0.053
100+mm	0	0	0	0	0	0	0	0	0	0	0	0	0	0.087	0.947

Burn Matrix

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70-99mm	100+mm
seedling	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
sucker	0	0	0.017	0.125	0.316	0.584	0.923	1.6801	3.100	5.936	10.96	17.32	29.25	55.16	88.22
1-1.9mm	0.138	0.375	0.682	0.161	0.008	0.005	0	0.016	0	0	0	0	0	0	0
2-3.9mm	0	0.102	0.064	0.675	0.438	0.148	0.064	0.016	0.015	0.006	0	0	0	0	0
4-5.9mm	0	0.011	0	0.052	0.449	0.542	0.462	0.296	0.235	0.097	0.089	0.073	0.0426	0	0.019
6-7.9mm	0	0	0	0	0.025	0.227	0.359	0.462	0.477	0.370	0.260	0.273	0.149	0.107	0
8-9.9mm	0	0	0	0	0.008	0.039	0.064	0.158	0.197	0.266	0.244	0.182	0.234	0.071	0.019
10-14.9mm	0	0	0	0	0	0.005	0.013	0.024	0.045	0.097	0.106	0.127	0.085	0.036	0
15-19.9mm	0	0	0	0	0	0	0	0.008	0.015	0.110	0	0	0	0	0
20-29mm	0	0	0	0	0	0	0	0	0.015	0.039	0.008	0	0	0	0
30-39mm	0	0	0	0	0	0	0	0	0	0	0.236	0.036	0	0	0
40-49mm	0	0	0	0	0	0	0	0	0	0	0.041	0.255	0	0	0
50-69mm	0	0	0	0	0	0	0	0	0	0	0	0.036	0.468	0.036	0
70-99mm	0	0	0	0	0	0	0	0	0	0	0	0	0	0.643	0.019
100+mm	0	0	0	0	0	0	0	0	0	0	0	0	0	0.071	0.865

Year After Burn Matrix

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70-99mm	100+mm
seedling	0	0	0	0	0	0	0	0	0	0.001	0.003	0.007	0.021	0.072	0.155
sucker	0	0	0.005	0.039	0.098	0.181	0.286	0.520	0.959	1.837	3.391	5.3602	9.052	17.07	27.30
1-1.9mm	0.574	0.439	0.697	0.065	0.011	0	0	0	0	0	0	0	0	0	0
2-3.9mm	0	0.320	0.211	0.697	0.076	0	0	0	0	0	0	0	0	0	0
4-5.9mm	0	0.041	0.013	0.172	0.489	0.035	0	0	0	0	0	0	0	0	0
6-7.9mm	0	0	0	0.004	0.299	0.270	0.024	0	0.014	0	0	0	0	0	0
8-9.9mm	0	0	0	0.004	0.109	0.333	0.122	0	0	0	0	0	0	0	0
10-14.9mm	0	0	0	0	0.005	0.326	0.695	0.357	0	0	0	0	0	0	0
15-19.9mm	0	0	0	0	0	0.035	0.159	0.571	0.743	0	0	0	0	0	0
20-29mm	0	0	0	0	0	0	0	0.071	0.243	0.711	0	0	0	0	0
30-39mm	0	0	0	0	0	0	0	0	0	0.289	0.756	0	0	0	0
40-49mm	0	0	0	0	0	0	0	0	0	0	0.244	0.500	0	0	0
50-69mm	0	0	0	0	0	0	0	0	0	0	0	0.500	0.867	0	0
70-99mm	0	0	0	0	0	0	0	0	0	0	0	0	0.133	0.913	0.045
100+mm	0	0	0	0	0	0	0	0	0	0	0	0	0	0.087	0.954

Two Years After Burn (Upper three rows only)

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70-99mm	100+mm
seedling	0	0	0	0	0	0	0	0	0.001	0.004	0.014	0.037	0.116	0.396	0.847
sucker	0	0	0.001	0.009	0.023	0.043	0.068	0.124	0.229	0.438	0.808	1.277	2.157	4.069	6.508

Three Years After Burning (Upper three rows only)

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70-99mm	100+mm
seedling	0	0	0	0	0	0	0	0.001	0.003	0.010	0.036	0.097	0.299	1.022	2.188
sucker	0	0	0.001	0.009	0.023	0.043	0.068	0.124	0.229	0.438	0.808	1.277	2.158	4.069	6.508

Roupala ontana

Unburn Matrix

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mmmm	50-69mm	70+mm
seedling	0	0	0	0	0	0	0	0	0	0.005	0.043	0.169	1.523	1.492
sucker	0	0	0	0.001	0.005	0.010	0.017	0.036	0.077	0.173	0.370	0.653	1.250	3.960
1-1.9mm	0.853	0.511	0.752	0.071	0	0	0	0	0	0	0	0	0	0
2-3.9mm	0	0.307	0.078	0.732	0.077	0.042	0	0	0	0	0	0	0	0
4-5.9mm	0	0.045	0	0.143	0.641	0.062	0	0.015	0.019	0	0	0	0	0
6-7.9mm	0	0.011	0	0	0.244	0.479	0	0	0	0	0	0	0	0
8-9.9mm	0	0.011	0	0	0.026	0.271	0.742	0	0	0	0	0	0	0
10-14.9mm	0	0	0	0	0	0.125	0.226	0.667	0	0	0	0	0	0
15-19.9mm	0	0	0	0	0	0	0	0.303	0.741	0	0	0	0	0
20-29mm	0	0	0	0	0	0	0	0	0.222	0.913	0	0	0	0
30-39mm	0	0	0	0	0	0	0	0	0	0.076	0.900	0	0	0
40-49mm	0	0	0	0	0	0	0	0	0	0	0.100	0.922	0	0
50-69mm	0	0	0	0	0	0	0	0	0	0	0	0.067	0.978	0
70+mm	0	0	0	0	0	0	0	0	0	0	0	0	0.022	1.000

Burn Matrix

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70+mm
seedling	0	0	0	0	0	0	0	0	0	0	0	0	0	0
sucker	0	0	0.001	0.010	0.031	0.067	0.119	0.249	0.532	1.190	2.54	4.484	8.585	27.208
1-1.9mm	0.374	0.364	0.673	0.189	0.032	0.018	0	0	0	0.011	0	0	0	0.010
2-3.9mm	0	0.273	0.071	0.649	0.426	0.300	0.206	0.055	0.043	0.011	0.047	0.011	0.010	0
4-5.9mm	0	0.030	0	0.070	0.378	0.491	0.619	0.451	0.386	0.287	0.168	0.138	0.052	0.038
6-7.9mm	0	0.030	0	0.004	0.101	0.127	0.159	0.341	0.286	0.333	0.290	0.266	0.125	0.029
8-9.9mm	0	0	0	0	0	0.027	0.016	0.110	0.157	0.172	0.168	0.117	0.083	0.010
10-14.9mm	0	0	0	0	0	0	0	0.022	0.057	0.069	0.093	0.106	0.115	0.038
15-19.9mm	0	0	0	0	0	0	0	0	0.014	0.012	0	0.011	0.021	0.010
20-29mm	0	0	0	0	0	0	0	0	0	0.046	0.009	0	0	0
30-39mm	0	0	0	0	0	0	0	0	0	0.023	0.206	0.032	0	0
40-49mm	0	0	0	0	0	0	0	0	0	0	0.019	0.266	0.052	0
50-69mm	0	0	0	0	0	0	0	0	0	0	0	0.032	0.490	0.077
70+mm	0	0	0	0	0	0	0	0	0	0	0	0	0.010	0.692

Year-After-Burn Matrix

	seedling	sucker	0-1.9mm	2-3.9mm	4-5.9mm	6-7.9mm	8-9.9mm	10-14.9mm	15-19.9mm	20-29mm	30-39mm	40-49mm	50-69mm	70+mm
seedling	0	0	0	0	0	0	0	0	0	0	0	0.023	0.044	0.851
sucker	0	0	0	0.005	0.017	0.036	0.063	0.133	0.284	0.637	1.362	2.402	4.598	14.567
1-1.9mm	0.853	0.511	0.717	0.062	0.009	0	0	0	0	0	0	0	0	0
2-3.9mm	0	0.307	0.217	0.719	0.075	0.019	0	0	0	0	0	0	0	0
4-5.9mm	0	0.045	0.043	0.188	0.664	0.111	0	0	0	0	0	0	0	0
6-7.9mm	0	0.011	0	0	0.140	0.296	0.053	0	0	0	0	0	0	0
8-9.9mm	0	0.011	0	0	0.075	0.352	0.316	0	0	0	0	0	0	0
10-14.9mm	0	0	0	0	0.037	0.204	0.526	0.333	0	0	0	0	0	0
15-19.9mm	0	0	0	0	0	0.019	0.105	0.583	1.000	0	0	0	0.031	0.033
20-29mm	0	0	0	0	0	0	0	0	0	1.000	0	0	0	0
30-39mm	0	0	0	0	0	0	0	0	0	0	0.889	0.067	0	0
40-49mm	0	0	0	0	0	0	0	0	0	0	0.111	0.933	0.031	0
50-69mm	0	0	0	0	0	0	0	0	0	0	0	0	0.875	0
70+mm	0	0	0	0	0	0	0	0	0	0	0	0	0.062	0.967

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