Bayesian and classical approaches for the estimation of genetic parameters and coefficients of repeatability of acerola quality traits

Vilvert, João Claudio; Freitas, Sérgio Tonetto de; Ferreira, Ianca Carneiro; Ferreira, Maria Aparecida Rodrigues; Souza, Flávio de França; Veloso, Cristiane Martins

doi:10.4025/actasciagron.v46i1.64573

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PLANT BREEDING • Acta Sci., Agron. 46 • 2024 • https://doi.org/10.4025/actasciagron.v46i1.64573 copy

Bayesian and classical approaches for the estimation of genetic parameters and coefficients of repeatability of acerola quality traits

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT.

Although acerola (Malpighia emarginata DC.) is a tropical fruit of high interest due to its high ascorbic acid content and attractive sensory attributes, fruit production is characterized by high genetic variability. Additionally, the use of new biometric tools for acerola breeding is scarce. This study aimed to estimate genetic parameters and the coefficient of repeatability, as well as determine the optimal number of fruits for quality trait analyses in different acerola genotypes, using different approaches. Twenty-three (Experiment I) and thirty-five (Experiment II) genotypes were evaluated in a randomized block design with four replicates and three plants per plot. Twenty fruits per plant were harvested and evaluated for the following quality traits: diameter, mass, skin color (lightness, chroma and hue), firmness, soluble solids (SS), titratable acidity (TA), SS/TA ratio, and ascorbic acid content. The genetic parameters and the coefficient of repeatability were estimated for each experiment using classical and Bayesian methods. Both approaches achieved similar results on estimating variance components, genetic parameters and the coefficient of repeatability. Genetic parameters showed favorable conditions for acerola selection. The coefficient of repeatability was high for all acerola quality traits. A total of 17 fruits are required for the effective selection of acerola genotypes with an accuracy of 95%.

Keywords:
Malpighia emarginata DC.; analysis of variance; genetic variability; fruit quality; repeated measures.

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[1] * Author for correspondence. E-mail: jcvilvert@gmail.com

Parameter	FD	FM	L	C	h	PF	SS	TA	SS/TA	AsA
	Experiment I (23 genotypes)
CV_g	8.04	25.47	5.90	10.08	18.36	31.59	8.83	14.31	17.54	19.05
CV_e	2.13	4.60	2.52	3.77	5.57	6.20	3.58	3.75	4.73	5.78
CV_g/CV_e	3.77	5.53	2.34	2.67	3.29	5.10	2.47	3.82	3.71	3.30
σ²_p	3.78	2.79	5.82	19.26	26.19	12.99	0.78	0.046	1.42	105894
σ²_g	3.53	2.70	4.92	16.89	23.98	12.51	0.67	0.043	1.32	96968
σ²_e	0.25	0.09	0.90	2.36	2.21	0.48	0.11	0.003	0.10	8926
h²	93.42	96.84	84.58	87.72	91.56	96.30	85.90	93.59	93.22	91.57
	Experiment II (35 genotypes)
CV_g	11.66	35.28	7.62	12.92	13.62	33.79	18.88	19.96	23.35	26.84
CV_e	2.19	4.21	2.54	3.09	4.78	5.32	3.08	3.97	4.26	4.98
CV_g/CV_e	5.33	8.38	3.00	4.18	2.85	6.35	6.13	5.03	5.48	5.39
σ_p ²	6.51	3.46	10.06	33.80	16.93	11.99	2.85	0.080	2.42	181331
σ_g ²	6.29	3.41	9.06	31.97	15.08	11.70	2.77	0.077	2.34	175304
σ_e ²	0.22	0.05	1.01	1.83	1.85	0.29	0.07	0.003	0.08	6027
h²	96.60	98.60	89.99	94.59	89.06	97.58	97.40	96.20	96.78	96.68

Parameter	FD	FM	L	C	h	PF	SS	TA	SS/TA	AsA
	Experiment I (23 genotypes)
CV_g	8.32	26.22	6.02	10.48	19.16	33.14	9.04	14.52	18.06	19.43
CV_e	2.16	4.70	2.56	3.88	5.77	6.26	3.65	3.76	4.80	5.84
CV_g/CV_e	3.86	5.58	2.35	2.70	3.32	5.29	2.48	3.86	3.76	3.33
σ²_p	4.03	2.95	6.04	20.75	28.50	14.25	0.82	0.05	1.50	109951
σ²_g	3.78	2.86	5.12	18.24	26.13	13.76	0.70	0.044	1.40	100847
σ²_e	0.25	0.09	0.92	2.51	2.37	0.49	0.11	0.003	0.10	9104
h²	93.71	96.89	84.70	87.92	91.70	96.56	86.02	93.71	93.40	91.72
	Experiment II (35 genotypes)
CV_g	11.84	36.50	7.92	13.17	13.76	34.79	19.35	20.84	24.26	27.37
CV_e	2.26	4.38	2.65	3.15	4.92	5.45	3.10	4.03	4.39	5.15
CV_g/CV_e	5.23	8.34	2.98	4.18	2.80	6.38	6.25	5.17	5.53	5.32
σ²_p	6.72	3.70	10.88	35.15	17.35	12.70	2.99	0.09	2.61	188765
σ²_g	6.48	3.65	9.78	33.25	15.38	12.40	2.91	0.084	2.53	182316
σ²_e	0.24	0.05	1.10	1.90	1.96	0.30	0.07	0.003	0.08	6449
h²	96.47	98.58	89.90	94.59	88.68	97.61	97.50	96.40	96.83	96.58

	FD	FM	L	C	h	PF	SS	TA	SS/TA	AsA
	Experiment I (23 genotypes)
FD		0.96^**	-0.19	-0.27	-0.22	0.33	-0.36	-0.12	-0.08	-0.25
FM	0.97^**		-0.15	-0.34	-0.09	0.43^*	-0.41^*	-0.03	-0.17	-0.28
L	-0.22	-0.18		0.77^**	0.78^**	0.13	-0.18	-0.02	-0.12	-0.52^*
C	-0.32	-0.38	0.75^**		0.58^**	-0.06	0.05	-0.03	0.01	-0.12
h	-0.25	-0.10	0.77^**	0.57^**		0.33	-0.23	0.14	-0.25	-0.24
PF	0.36	0.44^*	0.10	-0.09	0.32		-0.36	-0.16	-0.04	-0.03
SS	-0.38	-0.44^*	-0.14	0.12	-0.22	-0.38		-0.15	0.61^**	0.34
TA	-0.15	-0.04	-0.04	-0.04	0.14	-0.18	-0.19		-0.87^**	0.37
SS/TA	-0.06	-0.17	-0.10	0.05	-0.24	-0.03	0.62^**	-0.88^**		-0.10
AsA	-0.27	-0.31	-0.62^**	-0.16	-0.28	-0.05	0.38	0.40	-0.11
	Experiment II (35 genotypes)
FD		0.90^**	-0.11	-0.26	0.05	0.34^*	-0.25	-0.16	-0.08	-0.23
FM	0.91^**		-0.04	-0.24	0.18	0.36^*	-0.26	-0.09	-0.15	-0.09
L	-0.12	-0.04		0.71^**	0.72^**	-0.31	-0.14	-0.18	0.07	-0.14
C	-0.27	-0.25	0.73^**		0.68^**	-0.41	0.03	-0.14	0.16	-0.05
h	0.06	0.20	0.74^**	0.70^**		-0.11	-0.12	-0.18	0.10	-0.11
PF	0.35^*	0.36^*	-0.34^*	-0.43	-0.13		-0.08	0.24	-0.31	0.23
SS	-0.25	-0.26	-0.14	0.04	-0.11	-0.07		0.39^*	0.47^**	0.24
TA	-0.18	-0.08	-0.18	-0.15	-0.20	0.26	0.39^*		-0.60^**	0.72^**
SS/TA	-0.08	-0.16	0.08	0.18	0.12	-0.32	0.48	-0.60^**		-0.47^**
AsA	-0.23	-0.09	-0.14	-0.05	-0.12	0.24	0.24	0.74^**	-0.48^**

Quality trait	ANOVA		PCA-Cor		PCA-Cov		AS-Cor		Bayesian
Quality trait	ρ	R²	ρ	R²	ρ	R²	ρ	R²	ρ	R²
	Experiment I (23 genotypes)
FD	0.78	93.42	0.80	93.96	0.79	93.86	0.79	93.83	0.78	93.29
FM	0.88	96.84	0.90	97.24	0.90	97.22	0.90	97.22	0.88	96.79
L	0.58	84.58	0.62	86.90	0.58	84.80	0.61	86.29	0.53	81.94
C	0.64	87.72	0.68	89.44	0.67	88.97	0.67	89.09	0.61	86.27
h	0.73	91.56	0.75	92.47	0.75	92.28	0.75	92.29	0.72	90.95
PF	0.87	96.30	0.87	96.46	0.87	96.36	0.87	96.42	0.87	96.43
SS	0.60	85.90	0.66	88.45	0.61	86.11	0.65	87.90	0.56	83.74
TA	0.78	93.59	0.83	94.98	0.81	94.62	0.82	94.86	0.78	93.28
SS/TA	0.77	93.22	0.81	94.43	0.79	93.94	0.81	94.30	0.77	92.94
AsA	0.73	91.57	0.75	92.47	0.77	92.90	0.75	92.19	0.72	90.97
	Experiment II (35 genotypes)
FD	0.88	96.60	0.88	96.82	0.88	96.81	0.88	96.79	0.87	96.34
FM	0.95	98.60	0.95	98.66	0.95	98.63	0.95	98.66	0.94	98.56
L	0.69	89.99	0.72	91.29	0.70	90.13	0.72	90.99	0.66	88.77
C	0.81	94.59	0.82	94.93	0.82	94.64	0.82	94.84	0.80	94.29
h	0.67	89.06	0.70	90.25	0.69	89.92	0.68	89.65	0.63	87.23
PF	0.91	97.58	0.92	97.84	0.92	97.94	0.92	97.82	0.91	97.55
SS	0.90	97.40	0.91	97.61	0.91	97.61	0.91	97.59	0.90	97.44
TA	0.86	96.20	0.87	96.34	0.86	96.21	0.87	96.30	0.87	96.26
SS/TA	0.88	96.78	0.89	96.89	0.88	96.85	0.89	96.85	0.88	96.73
AsA	0.88	96.68	0.88	96.82	0.88	96.74	0.88	96.79	0.87	96.07