Forest modelling: the gamma shape mixture model and simulation of tree diameter distributions

Table 1 Sums of mixture weights (π ₁, ..., π _J ; J = 250), scale parameter (1/θ) and goodness-of-fit statistics (B _DIF, A _DIF) for the gamma shape mixture (GSM) model

Plot	Sum of mixture weights \( \sum_j{\pi}_j \)					1/θ	B _DIF	A _DIF
Plot	From j = 1 to j = 50	From j = 51 to j = 100	From j = 101 to j = 150	From j = 151 to j = 200	From j = 201 to j = 250	1/θ	B _DIF	A _DIF
RS01	0.67689	0.19323	0.10282	0.01428	0.01278	0.400	0.207	–0.301
RS02	0.64994	0.20898	0.10591	0.01632	0.01885	0.399	0.199	–0.280
RS03	0.67065	0.21081	0.08248	0.02813	0.00793	0.394	0.211	–0.533
RS04	0.64571	0.16443	0.13710	0.03988	0.01288	0.351	0.202	–0.425
RS05	0.68832	0.16493	0.10556	0.01542	0.02576	0.364	0.288	–0.398
RS06	0.44696	0.48711	0.04808	0.00634	0.01152	0.365	0.255	–0.397
RS07	0.43762	0.51367	0.04080	0.00116	0.00675	0.376	0.119	–0.275
RS08	0.39801	0.39664	0.19245	0.00317	0.00972	0.309	0.223	–0.367
RS09	0.56332	0.31142	0.11604	0.00139	0.00783	0.363	0.247	–0.619
RS10	0.48905	0.36658	0.13131	0.00619	0.00688	0.322	0.295	–0.485
BMS01	0.47679	0.20201	0.27207	0.04256	0.00657	0.356	0.040	–0.048
BMS02	0.35270	0.21065	0.29226	0.13513	0.00927	0.324	0.010	–0.041
BMS03	0.40667	0.30650	0.24149	0.03985	0.00548	0.365	0.010	0.183
BMS04	0.33827	0.26670	0.26833	0.10116	0.02554	0.308	0.032	–0.010
BMS05	0.39048	0.33637	0.19457	0.07229	0.00628	0.354	0.009	0.218
UID01	0.48104	0.33537	0.15545	0.01402	0.01412	0.402	0.016	0.047
UID02	0.38603	0.43741	0.15317	0.01523	0.00815	0.361	0.009	–0.055
UID03	0.37308	0.36297	0.19275	0.06103	0.01017	0.309	0.058	0.064
UID04	0.34382	0.50031	0.14395	0.00434	0.00759	0.397	0.037	0.053
UID05	0.35929	0.46679	0.10878	0.05712	0.00802	0.324	0.020	0.015

ISSN: 1297-966X