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

person Moisés Ambrósio *

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

0000-0002-9545-4560

person Alexandre Pio Viana

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

0000-0002-2475-4910

person Rodrigo Moreira Ribeiro

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

0000-0001-7152-3114

person Sandra Costa Preisigke

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

0000-0002-9176-764X

person Natan Ramos Cavalcante

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

0000-0002-7404-4829

person Flavia Alves da Silva

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

0000-0001-7818-707X

person Géssica Xavier Torres

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

0000-0002-0932-3290

person Carlos Misael Bezerra de Sousa

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

0000-0001-9367-4335

person* 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**	2576.51	20.56**	1963.38	16.79**
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*	1181.23	6.78**	–178.46	1.27 ns
Plot	1817.56	12.86**	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**	872.07	10.64**	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*	–2158.82	3.78 ns	2740.10	15.63**
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*	9011.69	5.22*
Plot	3983.56	35.85**	9045.28	38.81**
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*
	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}]

[TFN1] ^{* and **}
significant at 5 and 1 % of probability by Qui-square test. LRT (χ²) = likelihood ratio test.

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

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