Genetic evaluation of <i>Hevea brasiliensis</i> [(Willd ex Adr. de Juss.) Müell. Arg.] for juvenile vigour using the Reml/Blup method

Costa, Reginaldo Brito da; Resende, Marcos Deon Vilela de; Gonçalves, Paulo de Souza; Rego, Flávio Luiz Hilário; Contini, Adriana Zanirato; Roa, Raul Alffonso Rodrigues

Reginaldo Brito da Costa

Marcos Deon Vilela de Resende

Paulo de Souza Gonçalves

Flávio Luiz Hilário Rego

Adriana Zanirato Contini

Raul Alffonso Rodrigues Roa

Tabelas (5)
Fórmulas (3)

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Table 1
Mean squares from ANOVA, of the experimental coefficient of variation (CV_e%) and genetic coefficient of variation (CV_g%) for height, diameter and leaf-storey number in 30 eight months open pollinated progenies of Hevea, in Ponta Porã City, Mato Grosso do Sul state.

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Table 2
Estimates of the narrow sense heritability coefficients within blocks on a plant basis (

{\hat{h}}_{i}^{2}

), and progeny means basis (

{\hat{h}}_{mp}^{2}

), additive genetic variance (

{\hat{σ}}_{a}^{2}

), environmental variance among plots (

{\hat{σ}}_{plot}^{2}

), residual variance within plots (environmental + non additive, (

{\hat{σ}}_{e}^{2}

), individual phenotypic variance (

{\hat{σ}}_{p}^{2}

), for traits height, diameter and leaf storey number in rubber tree progenies, in Ponta Porã City, Mato Grosso do Sul state.

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Table 3
Phenotypic and additive genetic values of the 20 best progenies evaluated and predicted genetic gains with selection of the five best progenies for plant height (cm), diameter (mm) and leaf-storey number of the rubber tree progenies in Ponta Porã city, Mato Grosso do Sul state.

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Table 4
Genetic values predicted for plant height, obtained by selection with overlapping generations, for the 20 best individuals of rubber tree progenies, in Ponta Porã city, Mato Grosso do Sul state.

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Table 5
Genetic values predicted for plant diameter (mm), obtained by the selection with overlapping generation, for the 20 best individuals of rubber tree, in of Ponta Porã city, Mato Grosso do Sul state.

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Source of variation1	Mean squares
Source of variation1	Height	Diameter	Leaf-storey number
Replicates	25.28	1.09	0.44
Progenies	200.65^ p< 0,01.	1.55^ p< 0,01.	1.33^ p< 0,01.
Residual	61.04	0.89	0.79
General Mean	51.73	5.38	4.69
CV_e (%)	15.10	17.52	19.04
CV_g (%)	11.52	5.46	12.19

Heritability/variances	Height (cm)	Diameter (mm)	Leaf-storey number
${\hat{h}}_{i}^{2}$	0.22	0.02	0.18
${\hat{h}}_{mp}^{2}$	0.51	0.19	0.52
${\hat{σ}}_{a}^{2}$	36.83	0.09	0.34
${\hat{σ}}_{plot}^{2}$	21.13	0.02	0.15
${\hat{σ}}_{e}^{2}$	110.17	3.56	1.44
${\hat{σ}}_{p}^{2}$	168.12	3.67	1.93

Progenies	Phenotypic values			Genetic values (μ + a)			Genetic gain (%)
Progenies	height	diameter	leafstorey	height	diameter	leafstorey	height	diameter	leafstorey
1	85.50	9.50	8.01	59.20	5.64	5.45	6.50	0.16	0.68
2	82.00	9.43	7.91	58.96	5.63	5.33	6.38	0.16	0.62
3	81.50	9.00	7.34	58.68	5.62	5.32	6.25	0.16	0.60
4	81.00	8.42	6.90	58.67	5.61	5.30	6.18	0.16	0.59
5	80.00	8.12	6.71	58.61	5.60	5.29	6.12	0.16	0.58
6	78.50	8.01	6.27	58.48	5.59	5.27
7	78.08	8.00	5.53	58.36	5.50	5.26
8	77.50	7.89	5.12	58.35	5.49	5.25
9	77.00	7.32	4.98	58.34	5.48	5.23
10	76.50	7.21	4.83	58.27	5.47	5.20
11	76.03	7.13	4.57	58.12	5.46	5.00
12	76.00	6.93	4.31	58.07	5.45	4.90
13	75.70	5.82	4.16	57.92	5.43	4.86
14	75.50	5.54	3.98	57.91	5.41	4.81
15	75.00	5.34	3.90	57.90	5.40	4.78
16	74.80	4.77	3.83	57.86	5.39	4.75
17	74.55	4.72	3.52	57.84	5.37	4.71
18	74.20	4.01	3.35	57.72	5.36	4.69
19	74.01	3.93	3.32	57.66	5.35	4.62
20	73.14	3.86	3.21	57.65	5.32	4.60

Progenies	Seedling	Predicted additive genetic effect (a)	Genetic gain	New average
3	3	6.50	6.50	59.20
15	4	6.26	6.38	59.08
13	1	5.98	6.25	58.95
13	3	5.97	6.18	58.88
6	3	5.91	6.12	58.82
3	0	5.84	6.08	58.78
13	4	5.78	6.03	58.73
7	3	5.66	5.99	58.69
15	2	5.65	5.95	58.65
8	2	5.64	5.92	58.62
2	3	5.57	5.89	58.59
3	4	5.42	5.85	58.55
21	4	5.37	5.81	58.51
3	5	5.22	5.77	58.47
3	3	5.22	5.73	58.43
3	5	5.22	5.70	58.40
13	3	5.16	5.67	58.37
15	3	5.14	5.64	58.34
11	5	5.02	5.61	58.31
7	5	4.96	5.57	58.27

Progenies	Seedling	Predicted additive genetic effect (a)	Genetic gain	New average
21	0	0.20	0.20	5.68
21	2	0.16	0.18	5.66
21	4	0.16	0.17	5.65
2	0	0.16	0.17	5.65
21	3	0.15	0.17	5.65
3	0	0.15	0.16	5.64
21	1	0.15	0.16	5.64
21	3	0.15	0.16	5.64
2	3	0.15	0.16	5.64
2	2	0.14	0.16	5.64
21	1	0.14	0.16	5.64
21	4	0.14	0.16	5.64
21	5	0.14	0.15	5.63
4	1	0.14	0.15	5.63
3	3	0.14	0.15	5.63
4	0	0.14	0.15	5.63
2	4	0.14	0.15	5.63
21	5	0.13	0.15	5.63
3	5	0.13	0.15	5.63
2	5	0.13	0.15	5.63

[TFN1] ¹
The degrees of freedom for replicates, progenies and residual were 3, 29 and 87, respectively.

[TFN2] ^**
p< 0,01.

Brasil

Brasil

Genetic evaluation of Hevea brasiliensis [(Willd ex Adr. de Juss.) Müell. Arg.] for juvenile vigour using the Reml/Blup method

Abstract