Adaptability and stability of common bean genotypes in family farming systems

Melo, Patrícia Guimarães Santos; Alvares, Renata Cristina; Pereira, Helton Santos; Braz, Antônio Joaquim Braga Pereira; Faria, Luis Claudio; Melo, Leonardo Cunha

doi:10.1590/S0100-204X2018000200007

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GENÉTICA • Pesq. agropec. bras. 53 (02) • Feb 2018 • https://doi.org/10.1590/S0100-204X2018000200007 copy

Adaptability and stability of common bean genotypes in family farming systems

Adaptabilidade e estabilidade de genótipos de feijoeiro-comum em sistema de agricultura familiar

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract:

The objective of this work was to evaluate the interaction between genotypes and environments for grain yield of common bean (Phaseolus vulgaris) lines and cultivars with potential for use in family farming systems. Data from value for cultivation and use tests, carried out in 20 environments in the state of Goiás, Brazil, were analyzed in two cycles (2007/2008 and 2009/2010) in the dry, rainy, and winter crop seasons. Each test consisted of 15 genotypes from the carioca, purple, and rosinha common bean commercial groups. The experimental design was randomized complete block, with three replicates. The methodologies used to test the stability and adaptability of the genotypes were the one of Lin & Binns, of Cruz, the additive main effects and multiplicative interaction model (AMMI) to calculate the weighted average of absolute scores and productivity (WAASP), and the GGE biplot graphical analysis. The productive performance of the common bean lines and cultivars is affected by genotype x environment interaction. The methodologies adopted allow the selection of cultivars for cropping, and of cultivars and lines for use as parents in order to obtain segregating populations for selection in a family farming system.

Index terms:
Phaseolus vulgaris; AMMI; cultivars; genotype x environment interaction; GGE biplot analysis; value for cultivation and use

Embrapa Secretaria de Pesquisa e Desenvolvimento; Pesquisa Agropecuária Brasileira Caixa Postal 040315, 70770-901 Brasília DF Brazil, Tel. +55 61 3448-1813, Fax +55 61 3340-5483 - Brasília - DF - Brazil
E-mail: pab@embrapa.br

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[TFN1] ^{** and *}
Significant by the F-test, at 1 and 5% probability, respectively. ^nsNonsignificant. MS_g, mean square of genotypes; MS_e, mean square of error; and SA, selective accuracy.

Site (municipality)	Altitude (m)	Latitude (S)	Longitude (W)	MS_g	MS_e	Yield (kg ha^-1)	CV (%)	SA
	Dry season in 2007
1. Santo Antônio de Goiás	823	16º29'	49º18'	14,162	8,910^ns	691	13.7	0.61
	Winter in 2007
2. Itumbiara	448	18º25'	49º12'	33,448	11,381**	510	20.9	0.81
	Rainy season in 2007
3. Rubiataba	632	15º09'	49º48'	29,517	14,196*	843	14.1	0.72
4. Anápolis	1,017	16º19'	48º57'	47,700	8,099**	619	14.5	0.91
5. Santo Antônio de Goiás	823	16º29'	49º18'	68,971	7,150**	655	12.9	0.95
6. Nova Veneza	806	16º22'	49º19'	15,604	4,338**	276	23.8	0.85
	Rainy season in 2008
7. Anápolis	1,017	16º19'	48º57'	253,321	103,188*	2,386	13.5	0.77
8. Rio Verde	715	17º47'	50º55'	194,151	14,492**	1,775	6.8	0.96
9. Ipiranga	572	15º16'	49º67'	73,027	35,565^ns	911	20.7	0.72
10. Inhumas	770	16º21'	49º29'	147,827	71,523*	1,862	14.4	0.72
11. Santo Antônio de Goiás	823	16º29'	49º18'	95,609	36,935*	623	30.8	0.78
	Dry season in 2009
12. Inhumas	770	16º21'	49º29'	112,411	181,590^ns	1,539	18.6	0.52
13. Ipiranga	572	15º16'	49º67'	396,169	90,494**	2,676	11.2	0.88
14. Rubiataba	632	15º09'	49º48'	425,014	81,874**	2,795	10.2	0.90
	Rainy season in 2009
15. São Sebastião	1,036	15º56'	47º43'	166,404	99,784^ns	1,723	18.3	0.63
16. Santo Antônio de Goiás	823	16º29'	49º18'	159,411	138,425^ns	1,836	20.3	0.36
17. Anápolis	1,017	16º19'	48º57'	566,822	132,592**	2,841	12.8	0.88
	Dry season in 2010
18. Santo Antônio de Goiás	823	16º29'	49º18'	149,932	60,764*	1,632	15.1	0.77
19. Nova Veneza	806	16º22'	49º19'	110,307	20,490**	1,054	13.6	0.90
20. Rubiataba	632	15º09'	49º48'	30,347	12,113*	507	21.7	0.78

Source of variation	df	Sum of squares	Mean squares	R² (%)	E (%)
Environments (E)	19	576,784,938	30,357,102**	87.80	-
Replicate (environments)	40	7,139,731	178,493**	1.08	-
Genotypes (G)	14	10,208,892	729,206**	1.60	-
E x G	266	33,031,242	124,177**	5.03	-
Error	546	29,135,616	53,361	-	-
	AMMI model
IPCA1	32	9,028,128	282,129**	-	27.24
IPCA2	30	8,597,730	286,591**	-	25.94
IPCA3	28	4,333,700	154,775**	-	13.07
Deviation	176		63,513^ns	-	-
Coefficient of variation (%)	16.5
General mean (kg ha^-1)	1,387

Genotype	Yield (kg ha^-1)	IPCA1	IPCA2	IPCA3	WAAS	C	WAASP	C
CNFC 10753	1,580a	29.16	1.05	-0.55	12.6	13	96.1	2
CNFC 10729	1,579a	12.14	-7.46	2.10	8.4	8	97.8	1
CNFRX 10241	1,513a	7.42	4.10	20.06	8.6	10	95.2	3
BRS Vereda	1,450b	-4.22	-7.14	8.31	6.2	6	93.7	4
CNFC 10713	1,440b	-1.53	-10.95	-11.73	7.2	7	93.1	6
CNFC 10721	1,407b	-0.70	-5.20	4.13	3.1	1	93.5	5
BRS Pontal	1,405b	-10.08	15.92	11.38	12.6	14	89.5	10
CNFC 10758	1,371c	-0.38	-12.24	-2.79	5.5	5	91.1	7
BRS Cometa	1,347c	4.83	20.49	-5.30	11.1	12	87.8	11
CNFC 10757	1,338c	-10.54	-1.76	-0.93	5.2	4	90.1	8
CNFC 10733	1,336c	2.45	5.69	-7.93	4.8	3	90.1	9
CNFRS 11997	1,299c	-6.89	-18.43	-3.19	10.7	11	86.3	13
CNFRX 11996	1,259d	4.64	2.91	-8.05	4.6	2	87.2	12
BRS Requinte	1,239d	-15.23	-1.47	8.29	8.5	9	85.06	14
BRS Pitanga	1,235d	-11.04	14.49	-13.81	12.9	15	82.9	15

Genotype	P_i	Genotype	P_if	Genotype	P_id
CNFC 10729	28,917	CNFC 10753	38,526	CNFRX 10241	18,667
CNFC 10753	31,511	CNFC 10729	39,029	CNFC 10729	18,804
CNFRX 10241	55,661	CNFRX 10241	92,655	CNFC 10753	24,497
BRS Vereda	81,065	BRS Vereda	132,823	BRS Pontal	25,116
CNFC 10713	91,048	CNFC 10721	140,527	BRS Vereda	29,307
CNFC 10721	91,507	CNFC 10713	148,627	CNFC 10713	33,470
BRS Pontal	113,958	CNFC 10758	185,026	CNFC 10757	41,327
CNFC 10758	113,967	BRS Pontal	202,800	CNFC 10721	42,487
BRS Cometa	126,336	BRS Cometa	207,170	CNFC 10758	42,908
CNFC 10733	126,363	CNFC 10733	208,212	CNFC 10733	44,514
CNFC 10757	136,730	CNFC 10757	232,133	BRS Cometa	45,503
CNFRX 11996	160,049	CNFRX 11996	235,578	BRS Requinte	51,067
CNFRS 11997	164,236	CNFRS 11997	268,262	BRS Pitanga	60,012
BRS Requinte	195,542	BRS Requinte	340,017	CNFRS 11997	60,210
BRS Pitanga	207,293	BRS Pitanga	354,573	CNFRX 11996	84,519

Genotype	${\hat{β}}_{0 i}^{(2)}$	${\hat{β}}_{1 i}$	${\hat{β}}_{1 i} + {\hat{β}}_{2 i}$	$σ_{d i}^{2} (10^{3})$	R² (%)
CNFC 10753	1,580a	1.19**	1.57**	75.74^ns	97.9
CNFC 10729	1,579a	1.12^ns	1.11^ns	84.84^ns	97.2
CNFRX 10241	1,513a	1.07^ns	1.16^ns	124.52^ns	95.6
BRS Vereda	1,450b	1.07^ns	0.86^ns	82.67^ns	96.8
CNFC 10713	1,440b	1.02^ns	0.82^ns	87.47^ns	96.3
CNFC 10721	1,407b	1.05^ns	0.98^ns	70.41^ns	97.2
BRS Pontal	1,405b	0.96^ns	0.94^ns	155.73**	93.2
CNFC 10758	1,371c	0.99^ns	0.94^ns	97.59^ns	95.8
BRS Cometa	1,347c	0.98^ns	1.36**	119.55^ns	95.6
CNFC 10757	1,338c	0.94^ns	0.77^ns	42.91^ns	97.8
CNFC 10733	1,336c	0.95^ns	1.15^ns	79.79^ns	96.6
CNFRS 11997	1,299c	0.97^ns	0.71^ns	111.07^ns	94.7
CNFRX 11996	1,259d	0.96^ns	1.07^ns	62.25^ns	97.3
BRS Requinte	1,239d	0.85*	0.81^ns	72.59^ns	95.8
BRS Pitanga	1,235d	0.88^ns	0.76^ns	133.65^ns	92.8