Repeatability and genotypic stability in intraspecific hybrids of <i>Paspalum notatum</i> Flügge

Weiler, Roberto Luis; Silveira, Diógenes Cecchin; Brunes, André Pich; Simioni, Carine; Mills, Annamaria; Longhi, Júlia; Corrêa, Marcos Vinicius Schiavoni; Nauderer, Carla; Valentini, Arthur; Santos, Weliton Menezes dos; Dall'Agnol, Miguel

doi:10.37496/rbz5220230038

Roberto Luis Weiler ^* * Corresponding author: robertoluisw@yahoo.com.br

Conceptualization

Funding acquisition

Investigation

Methodology

Project administration

Resources

Supervision

Visualization

Validation

Writing – original draft

Writing – review & editing

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0002-1063-6374

Diógenes Cecchin Silveira

Data curation

Formal analysis

Writing – original draft

Writing – review & editing

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0001-6653-4839

André Pich Brunes

Conceptualization

Investigation

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0002-2430-8232

Carine Simioni

Conceptualization

Investigation

Methodology

Project administration

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0002-0642-6980

Annamaria Mills

Writing – original draft

Writing – review & editing

Lincoln University, Field Research Centre, Lincoln, New Zealand.

https://orcid.org/0000-0002-9194-4597

Júlia Longhi

Investigation

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0002-6608-3836

Marcos Vinicius Schiavoni Corrêa

Investigation

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0003-0208-495X

Carla Nauderer

Investigation

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0002-9069-6018

Arthur Valentini

Investigation

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0003-3661-3207

Weliton Menezes dos Santos

Investigation

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0002-8937-9998

Miguel Dall'Agnol

Conceptualization

Funding acquisition

Investigation

Methodology

Project administration

Resources

Supervision

Visualization

Universidade Federal do Rio Grande do Sul, Faculdade de Agronomia, Porto Alegre, RS, Brasil.

https://orcid.org/0000-0001-5471-1850

* Corresponding author: robertoluisw@yahoo.com.br

Conflict of Interest

The authors declare no conflict of interest.

♂ 4x	♀ 4x	Family	No. hybrids	Hybrid
Q4188	André da Rocha	A	29	A10, A11, A12, A13, A14, A15, A16, A17, A18, A2, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A31, A32, A33, A35, A36, A37, A38, A7, A8
Q4188	Bagual	B	44	B1, B10, B11, B12, B13, B14, B15, B16, B17, B18, B19, B2, B20, B21, B22, B23, B25, B26, B27, B28, B29, B3, B30, B31, B32, B33, B34, B35, B36, B37, B38, B39, B4, B40, B41, B42, B43, B44, B5, B52, B6, B7, B8, B9
Q4205	André da Rocha	C	35	C1, C10, C11, C12, C13, C14, C15, C16, C17, C18, C19, C2, C20, C21, C22, C23, C24, C25, C26, C27, C28, C29, C3, C30, C31, C32, C34, C35, C36, C4, C5, C6, C7, C8, C9
Q4205	Bagual	D	26	D1, D10, D11, D12, D13, D14, D16, D17, D18, D19
				D2, D20, D21, D22, D23, D24, D25, D26, D27, D3, D4, D5, D6, D7, D8, D9
C44X	André da Rocha	E	23	E1, E10, E11, E12, E13, E14, E15, E16, E17, E18, E19, E2, E20, E21, E22, E24, E3, E4, E5, E6, E7, E8, E9
C44X	Bagual	F	32	F1, F10, F11, F12, F13, F14, F15, F16, F17, F18, F2, F20, F21, F22, F23, F24, F25, F26, F27, F28, F29, F3, F30, F31, F32, F33, F4, F5, F6, F7, F8, F9

Source of variation	GL	Medium square
Source of variation	GL	LDM	SDM	LSR	IDM
Blocks	3	11580.56	1158.24	1150.13	201.93
Genotype	194	5066.38^ 0.05; ns = not significant.	951.85^ 0.05; ns = not significant.	1431.43^ 0.05; ns = not significant.	159.59^ 0.05; ns = not significant.
Harvest	4	214768.30^ 0.05; ns = not significant.	49129.64^ 0.05; ns = not significant.	59181.89^ 0.05; ns = not significant.	10134.09^ 0.05; ns = not significant.
Interaction	776	739.84^ 0.05; ns = not significant.	328.80^ 0.05; ns = not significant.	953.36^ 0.05; ns = not significant.	73.07^ 0.05; ns = not significant.
Error	2922	347.33	75.54	522.90	19.57
Maximum	-	228.70	151.20	520.00	82.90
Minimum	-	0.10	0.03	0.10	0.02
Mean	-	25.46	10.57	13.04	5.13
CVg (%)	-	61.86	77.91	40.22	74.76
CVe (%)	-	78.38	121.32	188.14	159.01
h²	-	0.85	0.65	0.33	0.54
Source of variation	GL	Medium square
Source of variation	GL	TDM	TPD	PH	GH
Blocks	3	24253.66	122018.51	208.98	17.10
Genotype	194	11155.69^ 0.05; ns = not significant.	67292.50^ 0.05; ns = not significant.	329.70^ 0.05; ns = not significant.	5.07^ 0.05; ns = not significant.
Harvest	4	578112.61^ 0.05; ns = not significant.	6038487.70^ 0.05; ns = not significant.	15160.67^ 0.05; ns = not significant.	36.82^ 0.05; ns = not significant.
Interaction	776	2126.06^* * P<0.01;	30099.07^* * P<0.01;	16.75ns	1.31^ 0.05; ns = not significant.
Error	2922	744.79	13467.87	22.83	0.84
Maximum	-	440.10	6223.00	56.00	5
Minimum	-	0.10	1.00	3.00	1
Mean	-	36.15	96.82	14.66	3
CVg (%)	-	62.93	47.71	28.92	18.13
CVe (%)	-	80.83	128.40	34.93	38.31
h²	-	0.81	0.55	0.95	0.74

Method	LDM		SDM		LSR		IDM
Method	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²
ANOVA I	0.54	85.40	0.27	65.46	0.09	33.40	0.19	54.22
ANOVA II	0.26	63.73	0.11	39.16	0.03	12.54	0.05	21.89
PCACov	0.85	96.71	0.90	97.78	0.49	82.97	0.93	98.58
PCACor	0.76	93.94	0.53	84.87	0.23	59.67	0.44	79.75
SACov	0.75	93.90	0.51	84.08	0.15	47.80	0.40	77.22
SACor	0.54	85.40	0.27	65.46	0.09	33.40	0.19	54.22
Method	TDM		TPD		PH		GH
Method	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²
ANOVA I	0.46	80.94	0.20	55.27	0.79	94.92	0.37	74.23
ANOVA II	0.19	54.46	0.02	9.48	0.33	71.37	0.32	70.64
PCACov	0.88	97.30	0.95	98.87	0.81	95.58	0.46	81.01
PCACor	0.74	93.56	0.67	90.94	0.82	95.85	0.43	79.16
SACov	0.74	93.54	0.66	90.82	0.82	95.81	0.36	73.39
SACor	0.46	80.94	0.20	55.27	0.79	94.92	0.37	74.23

R²	LDM					R²	SDM
R²	ANOVA I	ANOVA II	PCACov	PCACor	SA	R²	ANOVA I	ANOVA II	PCACov	PCACor	SA
0.80	3	11	1	1	1	0.80	11	31	0	4	4
0.85	5	16	1	2	2	0.85	15	44	1	5	5
0.90	8	26	2	3	3	0.90	24	70	1	8	9
0.95	16	54	3	6	6	0.95	50	148	2	17	18
0.99	85	282	17	32	32	0.99	261	769	11	88	94
R²	LSR					R²	IDM
R²	ANOVA I	ANOVA II	PCACov	PCACor	SA	R²	ANOVA I	ANOVA II	PCACov	PCACor	SA
0.80	40	140	4	14	22	0.80	17	71	0	5	6
0.85	57	198	6	19	31	0.85	24	101	0	7	8
0.90	90	314	9	30	49	0.90	38	161	1	11	13
0.95	189	663	20	64	104	0.95	80	339	1	24	28
0.99	987	3453	102	335	541	0.99	418	1766	7	126	146
R²	TDM					R²	TPD
R²	ANOVA I	ANOVA II	PCACov	PCACor	SA	R²	ANOVA I	ANOVA II	PCACov	PCACor	SA
0.80	5	17	1	1	1	0.80	16	191	0	2	2
0.85	7	24	1	2	2	0.85	23	270	0	3	3
0.90	11	38	1	3	3	0.90	36	430	1	4	5
0.95	22	79	3	7	7	0.95	77	907	1	9	10
0.99	117	414	14	34	34	0.99	401	4725	6	49	50
R²	PH					R²	GH
R²	ANOVA I	ANOVA II	PCACov	PCACor	SA	R²	ANOVA I	ANOVA II	PCACov	PCACor	SA
0.80	1	8	1	1	1	0.80	7	8	5	5	7
0.85	2	11	1	1	1	0.85	10	12	7	7	10
0.90	2	18	2	2	2	0.90	16	19	11	12	16
0.95	5	38	4	4	4	0.95	33	39	22	25	34
0.99	26	199	23	21	22	0.99	172	206	116	130	179

Harvest	N	LDM				SDM
		ANOVA II		PCACor		ANOVA II		PCACor
		$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²
1-2	2	0.92	95.86	0.92	95.87	0.83	90.76	0.84	91.57
2-3	2	0.57	72.58	0.77	87.32	0.24	38.13	0.39	56.20
3-4	2	0.83	90.91	0.89	94.13	0.17	29.37	0.30	46.72
4-5	2	0.61	75.75	0.87	93.15	0.35	51.96	0.77	86.73
1-3	3	0.60	81.59	0.81	92.56	0.50	75.30	0.55	78.45
2-4	3	0.70	87.71	0.80	92.24	0.31	57.35	0.38	64.42
3-5	3	0.69	87.10	0.86	94.79	0.21	44.21	0.51	75.72
1-4	4	0.67	88.94	0.78	93.59	0.41	73.24	0.46	76.99
2-5	4	0.59	85.19	0.78	93.53	0.25	57.31	0.52	81.46
1-5	5	0.54	85.40	0.76	93.94	0.27	65.46	0.53	84.87
Harvest	N	LSR				IDM
		ANOVA II		PCACor		ANOVA II		PCACor
		$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²
1-2	2	0.37	53.96	0.39	55.61	0.65	78.67	0.76	86.10
2-3	2	0.00	0.79	0.01	1.50	0.12	21.43	0.20	33.02
3-4	2	0.28	43.68	0.30	45.99	0.11	19.01	0.16	28.22
4-5	2	0.03	5.77	0.03	6.32	0.25	39.48	0.63	77.33
1-3	3	0.00	0.13	0.20	42.89	0.37	63.84	0.42	68.72
2-4	3	0.14	32.73	0.15	34.90	0.23	47.22	0.25	49.61
3-5	3	0.13	30.88	0.15	34.67	0.14	32.62	0.36	62.99
1-4	4	0.09	27.34	0.14	39.73	0.30	63.16	0.35	67.86
2-5	4	0.12	34.73	0.22	52.45	0.20	50.05	0.42	74.46
1-5	5	0.09	33.40	0.23	59.67	0.19	54.22	0.44	79.75
Harvest	N	TDM				TPD
		ANOVA II		PCACor		ANOVA II		PCACor
		$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²
1-2	2	0.93	96.24	0.93	96.28	0.77	86.85	0.88	93.65
2-3	2	0.69	81.92	0.75	85.52	0.72	84.00	0.76	86.56
3-4	2	0.82	90.12	0.83	90.66	0.84	91.48	0.85	91.67
4-5	2	0.52	68.16	0.92	95.68	0.26	40.84	0.71	82.96
1-3	3	0.74	89.31	0.79	91.96	0.64	84.37	0.77	90.74
2-4	3	0.74	89.44	0.76	90.36	0.72	88.71	0.74	89.76
3-5	3	0.53	77.16	0.84	93.92	0.26	51.60	0.75	90.04
1-4	4	0.73	91.44	0.76	92.52	0.63	87.29	0.71	90.86
2-5	4	0.48	78.64	0.77	92.99	0.23	54.63	0.70	90.16
1-5	5	0.46	80.94	0.74	93.56	0.20	55.27	0.67	90.94
Harvest	N	PH				GH
		ANOVA II		PCACor		ANOVA II		PCACor
		$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²	$\hat{ρ}$	R²
1-2	2	0.80	89.04	0.87	92.91	0.60	74.67	0.61	75.86
2-3	2	0.77	86.92	0.77	87.08	0.63	77.10	0.63	77.17
3-4	2	0.88	93.68	0.88	93.68	0.67	80.26	0.67	80.29
4-5	2	0.94	96.66	0.94	96.83	0.02	3.18	0.02	3.20
1-3	3	0.75	90.09	0.79	91.85	0.59	81.27	0.60	81.95
2-4	3	0.79	91.85	0.79	91.87	0.61	82.64	0.61	82.70
3-5	3	0.92	97.19	0.92	97.30	0.25	49.52	0.34	60.24
1-4	4	0.75	92.35	0.78	93.41	0.56	83.76	0.57	84.40
2-5	4	0.85	95.74	0.85	95.83	0.33	65.94	0.41	73.53
1-5	5	0.79	94.92	0.82	95.85	0.37	74.23	0.43	79.16

\frac{C \hat{o} v (Y_{i k}, Y_{i k},)}{\sqrt{\hat{v}} (Y_{i k}) \hat{V} (Y_{i k},)} = \frac{{\hat{σ}}_{g}^{2}}{{\hat{σ}}_{y}^{2}} = \frac{{\hat{σ}}_{g}^{2}}{{\hat{σ}}_{e}^{2} + {\hat{σ}}_{g}^{2}}

[1] * Corresponding author: robertoluisw@yahoo.com.br

Brasil

Brasil

Repeatability and genotypic stability in intraspecific hybrids of Paspalum notatum Flügge

ABSTRACT