Genotypic superiority of <i>Psidium Guajava</i> S<sub>1</sub> families using mixed modeling for truncated and simultaneous selection

Ambrósio, Moisés; Viana, Alexandre Pio; Ribeiro, Rodrigo Moreira; Preisigke, Sandra Costa; Cavalcante, Natan Ramos; Silva, Flavia Alves da; Torres, Géssica Xavier; Sousa, Carlos Misael Bezerra de

doi:10.1590/1678-992X-2019-0179

Moisés Ambrósio ^** Corresponding author <ambrosio_20007@hotmail.com>

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0002-9545-4560

Alexandre Pio Viana

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0002-2475-4910

Rodrigo Moreira Ribeiro

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0001-7152-3114

Sandra Costa Preisigke

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0002-9176-764X

Natan Ramos Cavalcante

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0002-7404-4829

Flavia Alves da Silva

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0001-7818-707X

Géssica Xavier Torres

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0002-0932-3290

Carlos Misael Bezerra de Sousa

Universidade Estadual do Norte Fluminense Darcy Ribeiro/CCTA – Lab. de Melhoramento Genético Vegetal, Av. Alberto Lamego, 2000 – 28013-602 – Campos dos Goytacazes, RJ – Brasil.

https://orcid.org/0000-0001-9367-4335

* Corresponding author <ambrosio_20007@hotmail.com>

Edited by: Leonardo Oliveira Medici

Authors’ Contributions

Conceptualization: Ambrosio, M.; Viana, A.P.; Preisigke, S.C. Data acquisition: Ambrosio, M.; Viana, A.P.; Torres, G.X.; Silva, F.A.; Bezerra, C.M. Data analysis: Ambrosio, M.; Ribeiro, R.M.; Cavalcante, N.R.; Viana, A.P. Design of methodology: Ambrosio, M.; Viana, A.P.; Cavalcante, N.R.; Preisigke, S.C. Writing and editing: Ambrosio, M.; Preisigke, S.C.; Viana, A.P.; Cavalcante, N.R.

Effect	Fruit mass		Fruit length		Fruit diameter
Effect	Deviance	LRT (χ²)	Deviance	LRT (χ²)	Deviance	LRT (χ²)
Genotype	3815.77	25.29^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	2576.51	20.56^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	1963.38	16.79^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.
Plot	3791.45	0.97 ns	2556.32	0.37 ns	1949.81	3.22 ns
Complete model	3790.48		2555.95		1946.59

Effect	Endocarp thickness		Mesocarp thickness		Peel thickness
Effect	Deviance	LRT (χ²)	Deviance	LRT (χ²)	Deviance	LRT (χ²)
Genotype	1809.92	5.22^* * and ** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	1181.23	6.78^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	–178.46	1.27 ns
Plot	1817.56	12.86^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	1174.52	0.07 ns	–176.22	3.51 ns
Complete model	1804.70		1174.45		–179.73

Effect	Pulp Mass		Brix		pH
Effect	Deviance	LRT (χ²)	Deviance	LRT (χ²)	Deviance	LRT (χ²)
Genotype	3661.15	20.76^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	872.07	10.64^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	1074.85	0.01 ns
Plot	3642.32	1.93 ns	862.58	1.5 ns	1074.87	0.03 ns
Complete model	3640.39		861.43		1074.84

Effect	Diam/ Length Ratio		Pulp yield		Placental weight
Effect	Deviance	LRT (χ²)	Deviance	LRT (χ²)	Deviance	LRT (χ²)
Genotype	–1364.27	5.21^* * and ** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	–2158.82	3.78 ns	2740.10	15.63^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.
Plot	–1368.39	1.09 ns	–2162.19	0.41 ns	2725.48	1.01 ns
Complete model	–1369.48		–2162.60		2724.47

Effect	Total number of fruit		Total fruit weight
Effect	Deviance	LRT (χ²)	Deviance	LRT (χ²)
Genotype	3953.46	5.75^* * and ** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	9011.69	5.22^* * and ** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.
Plot	3983.56	35.85^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.	9045.28	38.81^ * and **** significant at 5 and 1 % of probability by Qui-square test. LRT (χ2) = likelihood ratio test.
Complete model	3947.71		9006.47

Variable	$σ_{g}^{2}$	$σ_{plot}^{2}$	$σ_{e}^{2}$	$σ_{f}^{2}$	C²plot	$h_{a}^{2}$	$h_{p m}^{2}$	$h_{a d}^{2}$	Acprog	Mean
Fruit mass	474.78	44.67	1186.66	1706.11	0.026	0.32	0.89	0.07	0.94	177.07
Fruit length	21.38	1.65	83.49	106.54	0.01	0.23	0.86	0.04	0.93	75.51
Fruit diameter	5.95	1.38	21.73	29.07	0.04	0.24	0.83	0.04	0.91	64.84
Length/diam. ratio	0.00	0.00	0.01	0.01	0.03	0.08	0.63	0.01	0.79	1.16
Placental mass	25.25	4.13	120.09	149.48	0.02	0.19	0.82	0.03	0.90	44.33
Pulp yield	0.00	0.00	0.00	0.00	0.01	0.06	0.58	0.01	0.76	0.74
Endocarp thickness	1.99	2.10	15.87	19.97	0.10	0.11	0.61	0.02	0.78	37.02
Mesocarp thickness	0.30	0.03	4.35	4.69	0.00	0.07	0.66	0.01	0.81	10.38
Pulp mass	295.13	46.67	853.96	1195.78	0.03	0.29	0.87	0.06	0.93	132.43
Total Soluble Solids (Brix)	0.28	0.07	2.13	2.49	0.02	0.13	0.75	0.02	0.86	12.66
pH	0.00	0.01	3.64	3.66	0.00	0.00	0.02	0.00	0.14	3.55
Peel thickness	0.00	0.01	0.22	0.24	0.05	0.03	0.38	0.00	0.62	1.76
Total number of fruits	166.62	216.89	830.90	1214.42	0.17	0.16	0.62	0.03	0.79	37.41
Total weight fruit	4059786.00	5791305.24	20951618.89	30802710.14	0.18	0.15	0.60	0.03	0.77	5997.61

ORD.	Selection Index
	Additive		Multiplicative		Rank^* * Mean rank adapted from Mulamba.
	S₁ Families	GS	S₁ Families	GS	S₁ Families	GS
		%		%		%
1	12	4.34	1	249.09	10	37.11
2	1	4.19	6	213.97	1	36.41
3	8	4.06	4	156.49	8	35.71
4	6	3.92	12	126.79	16	33.33
5	4	3.82	8	104.19	6	31.42
6	9	3.52	7	87.96	7	28.50
7	7	3.14	9	76.05	4	24.63
8	17	2.81	10	67.04	12	21.87
9	10	2.49	16	57.56	9	19.10
10	16	2.17	17	49.07	11	16.46
11	18	1.82	2	39.83	2	14.29
12	3	1.51	3	32.13	18	12.47
13	2	1.22	18	25.60	3	10.76
14	15	0.94	11	19.24	14	8.69
15	11	0.69	14	13.55	17	6.97
16	5	0.47	13	8.55	5	4.31
17	14	0.22	5	4.02	15	2.03
18	13	0.00	15	0.00	13	0.00
Mean (%)		2		74		19

C^{- 1} = [\begin{array}{l} C_{11} C_{12} \\ C_{21} C_{22} \end{array}] - 1 = [\begin{array}{l} C^{11} C^{12} \\ C^{21} C^{22} \end{array}]

[1] * Corresponding author <ambrosio_20007@hotmail.com>

Brasil

Brasil

Genotypic superiority of Psidium Guajava S₁ families using mixed modeling for truncated and simultaneous selection

ABSTRACT:

Brasil

Brasil

Genotypic superiority of Psidium Guajava S1 families using mixed modeling for truncated and simultaneous selection

ABSTRACT:

Genotypic superiority of Psidium Guajava S₁ families using mixed modeling for truncated and simultaneous selection