USE OF DUMMY VARIABLES TO PREDICT GROWTH STRESSES IN <i>Eucalyptus</i> ssp. CLONES

Beltrame, Rafael; Cadermatori, Pedro Henrique Gonzalez; Delucis, Rafael de Avila; Gatto, Darci Alberto; Haselein, Clovis Roberto; Schneider, Paulo Renato

doi:10.1590/0100-67622016000600019

Rafael Beltrame ^**Corresponding author.

Universidade Federal de Pelotas, Centro de Engenharias, Pelotas, RS - Brasil .E-mail: <beltrame.rafael@yahoo.com.br>.

Pedro Henrique Gonzalez Cadermatori

Universidade Federal do Paraná, Programa de Pós-Graduação de Engenharia Florestal, Curitiba-PR - Brasil. E-mail: <pedrocademartori@gmail.com>.

Rafael de Avila Delucis

Universidade Federal do Rio Grande do Sul, Programa de Pós-Graduação em Engenharia de Minas, Metalúrgica de Materiais, Porto Alegre-RS - Brasil. E-mail: <r.delucis@hotmail.com>.

Darci Alberto Gatto

Universidade Federal de Pelotas, Engenharia Industrial Madeireira, Pelotas, RS - Brasil. E-mail: <darcigatto@yahoo.com>.

Clovis Roberto Haselein

Universidade Federal de Santa Maria, Centro de Ciências Rurais, Departamento de Ciências Florestais, Santa Maria, RS - Brasil. E-mail: <clovis.haselein@ufsm.br> and <paulors@smail.ufsm.br>.

Paulo Renato Schneider

Universidade Federal de Santa Maria, Centro de Ciências Rurais, Departamento de Ciências Florestais, Santa Maria, RS - Brasil. E-mail: <clovis.haselein@ufsm.br> and <paulors@smail.ufsm.br>.

*Corresponding author.

Table 1 Description of Eucalyptus spp. clones selected for the study.

Genetic material	Genealogy	Basal area(m².ha^-1)
Clone 1	E. urophylla x E. grandis	10. 812
Clone 2	E. urophylla 34062 x E. grandis M-1	10. 312
Clone 3	E. urophylla 34062 x E. grandis M-2	10. 118
Clone 4	E. saligna x E. saligna 01	9. 940
Clone 5	E. grandis x E. grandis	9. 446
Clone 6	E. grandis x E. grandis	8. 813
Clone 7	E. urophylla x E. urophylla	8. 663
Clone 8	E. urophylla 34058 x E. dunnii 16 L	8. 341
Clone 9	E. grandis x E. tereticornis	8. 299
Clone 10	E. grandis x E. grandis	6. 908
Clone 11	E. urophylla 34058 x E. dunnii 17 L	5. 869
Clone 12	E. saligna x E. saligna 01	5. 671

Table 2 Average values of the variables measured for each clone.

Clone	LRS(mm)	BD(Kg.m^-3)	BT(mm)	DBH(cm)	H(m)	VOL(m³)
1	0.202	474.45	10.88	22.91	33.23	0.575
2	0.101	468.82	7.01	24.90	32.93	0.682
3	0.089	495.86	9.22	27.12	34.32	0.830
4	0.093	431.64	7.08	26.55	34.22	0.798
5	0.102	467.69	8.61	22.22	31.32	0.517
6	0.156	476.71	8.69	23.09	30.72	0.541
7	0.114	540.94	11.53	24.60	33.28	0.666
8	0.076	456.43	7.88	23.73	31.15	0.581
9	0.107	484.59	5.78	22.88	31.72	0.559
10	0.094	437.83	6.78	24.41	30.96	0.619
11	0.093	477.83	7.11	23.38	30.99	0.564
12	0.108	450.79	6.07	22.78	32.91	0.564
Average	0.111	471.96	8.05	24.05	32.31	0.625

Table 3 Regression model and statistical coefficients obtained by the stepwise procedure to describe the DRL, according to the EC (Model A), DAP (Model B), H (Model C) and VOL (Model D) and variables Dummy.

	Model	Statistics
		F'	Prob>F	CV%	R²_aj.
A	DRL^-0.7= b₀ + b₁EC – b₂D1 – b₃D6 – b₄(D7EC) +b₅(D8*EC)	35.27	< 0.001	13.6	0.55
B	DRL^-0.7= b₀ + b₁dap – b₂D1 – b₃D6 + b₄D8 + b₅D9 – b₆(D7dap) – b₇(D9*dap)	29.37	< 0.001	13.1	0.58
C	DRL^-0.7= b₀ + b₁H – b₂D1 – b₃D6 + b₄D9 + b₅(D6H) – b₆(D7H) + b₇(D8H) – b8(D9H) – b₉(D12H)	23.60	< 0.001	13.0	0.59
D	DRL^-0.7= b₀ + b₁VOL – b₂D1 – b₃D6 + b₄D8 + b₅D9 – b₆(D7VOL) - b₇(D9*VOL)	29.54		< 0.001 13.1	0.58

Table 4 Parameters of the statistical model to estimate the LRS, according to Dummy variables, BT, DBH, H and VOL.

Coefficients of the model	Coefficients values	Syx	t	Prob > t
BT
b₀	4.55120	0.23917	19.03	<0.0001
b₁	0.08468	0.03192	2.65	0.0089
D1	-2.31521	0.23769	-9.74	<0.0001
D6	-1.48643	0.21185	-7.02	<0.0001
D7BT	-0.07223	0.02158	-3.35	0.0010
D8BT	0.11545	0.02598	4.44	<0.0001
DBH
b₀	3.34282	0.48332	6.92	<0.0001
b₁	0.07573	0.01956	3.87	0.0002
D1	-1.92019	0.20170	-9.52	<0.0001
D6	-1.29025	0.20120	-6.41	<0.0001
D8	1.00372	0.19995	5.02	<0.0001
D9	4.76123	1.39823	3.41	0.0009
D7DBH	-0.02046	0.00807	-2.54	0.0124
D9DBH	-0.21585	0.06001	-3.60	0.0004
H
b₀	2.46730	1.13098	2.18	0.0309
b₁	0.08605	0.03478	2.47	0.0146
D1	-2.16971	0.20198	-10.74	<0.0001
D6	-10.85927	4.85101	-2.24	0.0268
D9	10.74699	3.30578	3.25	0.0015
D6H	0.31080	0.15731	1.98	0.0499
D7H	-0.01851	0.00608	-3.05	0.0028
D8H	0.03183	0.00657	4.85	<0.0001
D9H	-0.34824	0.10374	-3.36	0.0010
D12H	-0.01512	0.00610	-2.48	0.0144
VOL
b₀	4.35344	0.22581	19.28	<0.0001
b₁	1.29240	0.33050	3.91	<0.0001
D1	-1.93915	0.20054	-9.67	<0.0001
D6	-1.25231	0.20219	-6.19	<0.0001
D8	1.03745	0.20029	5.18	<0.0001
D9	2.06955	0.67105	3.08	0.0025
D7VOL	-0.78539	0.29174	-2.69	0.0080
D9VOL	-4.02115	1.12889	-3.56	0.0005

\begin{matrix} (LRS)^{- 0, 7} = f (B D, D 1, D 2, D 3, D 4, D 5, D 6, D 7, D 8, D 9, D 10, D 11, D 12, D 1 * D B, D 2 * D B, D 3 * D B, D 4 * D B, D 5 * D B, D 6 * D B, D 7 * D B, D 8 * D B, D 9 * D B, D 10 * D B, D 11 * D B, D 12 * DB) \end{matrix}

\begin{matrix} (LRS)^{- 0, 7} = f (B T, D 1, D 2, D 3, D 4, D 5, D 6, D 7, D 8, D 9, D 10, D 11, D 12, D 1 * B T, D 2 * B T, D 3 * B T, D 4 * B T, D 5 * B T, D 6 * B T, D 7 * B T, D 8 * B T, D 9 * B T, D 10 * B T, D 11 * B T, D 12 * BT) \end{matrix}

\begin{matrix} (LRS)^{- 0, 7} = f (D B H, D 1, D 2, D 3, D 4, D 5, D 6, D 7, D 8, D 9, D 10, D 11, D 12, D 1 * D B H, D 2 * D B H, D 3 * D B H, D 4 * D B H, D 5 * D B H, D 6 * D B H, D 7 * D B H, D 8 * D B H, D 9 * D B H, D 10 * D B H, D 11 * D B H, D 12 * DBH) \end{matrix}

\begin{matrix} (LRS)^{- 0, 7} = f (H, D 1, D 2, D 3, D 4, D 5, D 6, D 7, D 8, D 9, D 10, D 11, D 12, D 1 * H, D 2 * H, D 3 * H, D 4 * H, D 5 * H, D 6 * H, D 7 * H, D 8 * H, D 9 * H, D 10 * H, D 11 * H, D 12 * H) \end{matrix}

\begin{matrix} (LRS)^{- 0, 7} = f (V O L, D 1, D 2, D 3, D 4, D 5, D 6, D 7, D 8, D 9, D 10, D 11, D 12, D 1 * V O L, D 2 * V O L, D 3 * V O L, D 4 * V O L, D 5 * V O L, D 6 * V O L, D 7 * V O L, D 8 * V O L, D 9 * V O L, D 10 * V O L, D 11 * V O L, D 12 * VOL) \end{matrix}

[1] *Corresponding author.

Brasil

Brasil

USE OF DUMMY VARIABLES TO PREDICT GROWTH STRESSES IN Eucalyptus ssp. CLONES

USO DE VARIÁVEIS DUMMY PARA A PREDIÇÃO DE TENSÕES DE CRESCIMENTO EM CLONES DE EUCALYPTUS SPP.

ABSTRACT