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Heritability of quantitative traits in segregating common bean families using a Bayesian approach

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Abstract

Genetic parameters for six quantitative traits in the early generation of segregating populations of common beans (Phaseolus vulgaris L.) were evaluated. A Bayesian approach was used for estimating the variance components, breeding values and broad sense heritability of the quantitative traits under analysis. The Markov Chain Monte Carlo method was utilized to analyze the contribution of genes affecting complex traits. Twenty-four F3 families were evaluated in the field during 2005 in Santa Catarina, southern Brazil. With regard to the grain yield and yield components, the additive variances were relatively similar to the dominance variances. This result is confirmed by the 95% credible set from the posterior distribution. The mean estimates of broad-sense heritability (H2) varied from 11.5% to 64.2%. The heritability estimates of yield and yield components were higher than the estimates for the number of days until flowering and reproductive period. However, for grain yield, the 95% heritability credible set included the heritability estimates from point of crop duration. The predicted genetic gain reached the highest value for the number of pods per plant (10.95%). Days to flowering and reproductive period had the lowest values of genetic advance. One hundred seed-weight, grain yield and seeds per pod exhibited a similar predictable level of genetic gain: GA = 5.73%, 5.81% and 4.77%, respectively. The Bayesian framework provided information that is useful for a breeding program, since it contributes to the understanding of how quantitative traits are genetically controlled.

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Abbreviations

DTF:

Days to flowering

DIC:

Deviance Information Criterion

MCMC:

Markov chain Monte Carlo

PP:

Pods per plant

RP:

Reproductive period

SP:

Seeds per pod

W100:

100 Seed-weight

Y:

Grain yield

References

  • Anbessa Y, Warkentin T, Vandenberg A, Bandara M (2006) Heritability and predicted gain from selection in components of crop duration in divergent chickpea cross populations. Euphytica 152:1–8. doi:10.1007/s10681-006-9163-y

    Article  Google Scholar 

  • Ball RD (2001) Bayesian methods for quantitative trait loci mapping based on model selection: approximate analysis using the Bayesian information criterion. Genetics 59:1351–1364

    Google Scholar 

  • Barelli MAA, Gonçalves-Vidigal MC, Amaral AT Jr, Vidigal-Filho PS, Scapim CA, Sagrilo E (2000) Diallel analysis for grain yield and yield components in Phaseolus vulgaris L. Acta Sci 22:883–887

    Google Scholar 

  • Bink MCAM, Boer MP, ter Braak CJF, Cansen J, Voorrips RE, van de Weg WE (2007) Bayesian analysis of complex traits in pedigreed plant populations. Euphytica . doi:10.1007/s10681-007-9516-1

    Google Scholar 

  • Blasco A (2001) The Bayesian controversy in animal breeding. J Anim Sci 79:2023–2046

    PubMed  CAS  Google Scholar 

  • Broman KW, Speed TP (2002) A model selection approach for the identification of quantitative trait loci in experimental computing time can be intensive within each sweep of crosses. J R Stat Soc [Ser A] 64:641–656. doi:10.1111/1467-9868.00354

    Article  Google Scholar 

  • Campos AD, Ferreira AG, Hampe MMV, Antunes IF, Brancão N, Silveira EP et al (2004) Peroxidase and polyphenol oxidase activity in bean anthracnose resistance. Pesqui Agropecu Bras 39(7):637–643. doi:10.1590/S0100-204X2004000700004

    Google Scholar 

  • Carbonell SM, Ito MF, Pompeu AS, Francisco F, Ravagnani S, Almeida ALL (1999) Raças fisiológicas de Colletotrichum lindemuthianum e reação de cultivares e linhagens de feijoeiro no Estado de São Paulo. Fitopatol Bras 24:60–65

    Google Scholar 

  • Casquero PA, Lema M, Santalla M, De Ron AM (2006) Performance of common bean (Phaseolus vulgaris L.) landraces from Spain in the Atlantic and Mediterranean environments. Genet Resour Crop Evol 53:1021–1032. doi:10.1007/s10722-004-7794-1

    Article  Google Scholar 

  • Ceolin ACG, Gonçalves-Vidigal MC, Vidigal Filho PS, Kvitschal MV, Gonela A, Scapim CA (2007) Genetic divergence of the common bean (Phaseolus vulgaris L.) group Carioca using morpho-agronomic traits by multivariate analysis. Hereditas 144:1–9. doi:10.1111/j.2006.0018-0661.01943.x

    Article  Google Scholar 

  • Coelho ADF, Cardoso AA, Cruz CD, Araújo GAA, Furtado MR, Amaral CLF (2002) Herdabilidades e correlações da produção do feijão e dos seus componentes primários, nas épocas de cultivo da primavera-verão e do verão-outono. Cienc Rural 32:211–216. doi:10.1590/S0103-84782002000200005

    Article  Google Scholar 

  • Cruz CD, Carneiro PCS (2003) Modelos biométricos aplicados ao melhoramento genético. UFV, Viçosa

    Google Scholar 

  • Dawo MI, Sanders FE, Pilbeam DJ (2007) Grain yield, yield components and plant architecture in the F3 generation of common bean (Phaseolus vulgaris L.) derived from a cross between the determinate cultivar ‘Prelude’ and an indeterminate landrace. Euphytica 156:77–87. doi:10.1007/s10681-007-9354-1

    Article  Google Scholar 

  • Delgado-Salinas A, Bibler R, Lavin M (2006) Phylogeny of the genus Phaseolus (Leguminosae): a recent diversification in an ancient landscape. Syst Bot 31:779–791. doi:10.1600/036364406779695960

    Article  Google Scholar 

  • De Ron AM, Menéndez-Sevillano MC, Santalla M (2004) Variation in primitive landraces of common bean (Phaseolus vulgaris L.) from Argentina. Genet Resour Crop Evol 51:883–894. doi:10.1007/s10722-005-1934-0

    Article  Google Scholar 

  • FAO (2006) Base de dados FAOSTAT. http://www.fao.org/. Cited 01 Jul 2006

  • Fehr WR (1987) Principles of cultivar development. Macmillan, Iowa

    Google Scholar 

  • Gaitán-Solís E, Duque MC, Edwards KJ, Tohme J (2002) Microsatellite repeats in common bean (Phaseolus vulgaris): isolation, characterization and cross-species amplification in Phaseolus ssp. Crop Sci 42:2128–2136

    Google Scholar 

  • Graham PH, Ranalli P (1997) Common bean (Phaseolus vulgaris L.). Field Crops Res 53:131–146. doi:10.1016/S0378-4290(97)00112-3

    Article  Google Scholar 

  • Gonçalves-Vidigal MC, Silvério L, Vidigal Filho PS (2005) Diallel analysis of the combining ability of common bean (Phaseolus vulgaris L.) cultivars. BIC Annu Rep 48:184–185

    Google Scholar 

  • Heath SC (1997) Markov chain Monte Carlo segregation and linkage analysis of oligogenic models. Am J Hum Genet 61:748–760. doi:10.1086/515506

    Article  PubMed  CAS  Google Scholar 

  • Heidelberger P, Welch PD (1983) Simulation run length control in the presence of an initial transient. Oper Res 31:1109–1114

    Article  Google Scholar 

  • Holsinger KE (1999) Analysis of genetic diversity in geographically structured populations: a Bayesian perspective. Hereditas 130:245–255. doi:10.1111/j.1601-5223.1999.00245.x

    Article  Google Scholar 

  • Kelly J, Kolkman JM, Schneider K (1998) Breeding for yield in dry bean (Phaseolus vulgaris L.). Euphytica 102:343–356. doi:10.1023/A:1018392901978

    Article  Google Scholar 

  • Kumar S, Van-Rheenen HA, Singh O (1999) Genetic analysis of different components of crop duration in chickpea. J Genet Breed 53:189–200

    Google Scholar 

  • Machado CF, Santos JB, Nunes GHS (2000) Escolha de genitores de feijoeiro por meio da divergência avaliada a partir de caracteres morfo-agronômicos. Bragantia 59:11–20. doi:10.1590/S0006-87052000000100004

    Article  Google Scholar 

  • Machado CF, Santos JB, Nunes GHS, Ramalho PMA (2002) Choice of common bean parents based on combining ability estimates. Genet Mol Biol 25:179–183. doi:10.1590/S1415-47572002000200011

    Article  Google Scholar 

  • Mumba LE, Galwey NW (1999) Compatibility between wild and cultivated common bean (Phaseolus vulgaris L.) genotypes of the Mesoamerican and Andean gene pools: Evidence from the inheritance of quantitative characters. Euphytica 108:105–119. doi:10.1023/A:1003652125405

    Article  Google Scholar 

  • Papini A, Banci F, Nardi E (2007) Molecular evidence of polyphyletism in the plant genus Carum L. (Apiaceae). Genet Mol Biol 30:475–482. doi:10.1590/S1415-47572007000300029

    Article  CAS  Google Scholar 

  • Piepho HP, Mohring J, Melchinger AE, Buchse A (2007) BLUP for phenotypic selection in plant breeding and variety testing. Euphytica . doi:10.1007/s10681-007-9449-8

    Google Scholar 

  • Ramalho MAP, Santos JB, Zimmermann MJO (1993) Genética quantitativa em plantas autógamas: aplicações no melhoramento do feijoeiro. Goiânia, UFG

  • Rava CA, Purchio AF, Sartorato A (1994) Caracterização de patótipos de Colletotrichum lindemuthianum que ocorrem em algumas regiões produtoras de feijoeiro comum. Fitopatol Bras 19:167–172

    Google Scholar 

  • Roeder K, Escobar M, Kadane JB, Balazs I (1998) Measuring heterogeneity in forensic databases using hierarchical Bayes models. Biometrika 85:269–287. doi:10.1093/biomet/85.2.269

    Article  Google Scholar 

  • Rosal CJS, Ramalho MAP, Gonçalves FMA, Abreu AFB (2000) Early selection for common bean grain yield. Bragantia 59:189–195. doi:10.1590/S0006-87052000000200010

    Article  Google Scholar 

  • SAS-Institute (1996) Statistical analysis system user’s guide. SAS Institute, Cary

    Google Scholar 

  • Sillanpaa MJ, Arjas E (1998) Bayesian mapping of quantitative trait loci from incomplete inbreed line cross data. Genetics 148:1373–1388

    PubMed  CAS  Google Scholar 

  • Singh SP, Cajiao C, Gutiérrez JA, Garcia J, Pastor-Corrales MA, Morales FJ (1989) Selection for seed yield in inter-gene pool crosses of common bean. Crop Sci 29:1126–1131

    Google Scholar 

  • St Martin SK, Futi X (2000) Genetic gain in early stages of a soybean breeding program. Crop Sci 40:1559–1564

    Google Scholar 

  • Van-Tassell CP, Van-Vleck DL (1995) A manual for use of MTGSAM. A set of FORTRAN programs to apply Gibbs sampling to animal models for variance component estimation [DRAFT]. U.S. Department of Agriculture (Agricultural Research Service), Lincoln, p 86

    Google Scholar 

  • Van-Tassell CP, Van-Vleck LD (1996) Multiple-trait Gibbs sampler for animal models: flexible programs for Bayesian and likelihood-based (co)variance component inference. J Anim Sci 74:2586–2597

    PubMed  CAS  Google Scholar 

  • Walsh B (2001) Quantitative Genetics in the age of genomics. Theor Popul Biol 59:175–184. doi:10.1006/tpbi.2001.1512

    Article  PubMed  CAS  Google Scholar 

Download references

Acknowledgments

This research was financed by CNPq and CAPES. M. C. Gonçalves-Vidigal receives financial support from CNPq. Freddy Mora was supported by a fellowship from CAPES.

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Correspondence to Maria Celeste Gonçalves-Vidigal.

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Gonçalves-Vidigal, M.C., Mora, F., Bignotto, T.S. et al. Heritability of quantitative traits in segregating common bean families using a Bayesian approach. Euphytica 164, 551–560 (2008). https://doi.org/10.1007/s10681-008-9758-6

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