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Czasopismo

2014 | 51 | 2 | 89-102

Tytuł artykułu

Statistical analysis of yield trials by AMMI analysis of genotype × environment interaction

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
The genotype by environment interaction (GEI)) has an influence on the selection and recommendation of cultivars. The aim of this work is to study the effect of GEI and evaluate the adaptability and stability of productivity (kg/ha) of nine maize genotypes using AMMI model (Additive Main effects and Multiplicative Interaction). The AMMI model is one of the most widely used statistical tools in the analysis of multiple-environment trials. It has two purposes, namely understanding complex GEI and increasing accuracy. Nevertheless, the AMMI model is a widely used tool for the analysis of multiple-environment trials, where the data are represented by a two-way table of GEI means. In the complete tables, least squares estimation for the AMMI model is equivalent to fitting an additive two-way ANOVA model for the main effects and applying a singular value decomposition to the interaction residuals. It assumes equal weights for all GEI means implicitly. The experiments were conducted in twenty environments, and the experimental design was a randomized complete block design with four repetitions. The AMMI model identified the best combinations of genotypes and environments with respect to the response variable. This paper concerns a basic and a common application of AMMI: yield-trial analysis without consideration of special structure or additional data for either genotypes or environments.

Wydawca

Czasopismo

Rocznik

Tom

51

Numer

2

Strony

89-102

Opis fizyczny

Daty

wydano
2014-12-01
online
2014-12-20

Twórcy

autor
  • Programa de Pos-graduação em Estatística e Experimentação Agronômica, Universidade de São Paulo, Brazil
  • Departamento de Estatística, Universidade Federal de Mato Grosso, Av. Fernando Corrêa da Costa, no 2367 - Bairro Boa Esperança. 78060-900, Cuiabá - MT - Brazil
  • Programa de Pos-graduação em Estatística e Experimentação Agronômica, Universidade de São Paulo, Brazil
  • Departamento de Estatística, Universidade Federal de Uberlândia, MG, Brazil
  • Departamento de Ciências Exatas, Universidade de São Paulo, Brazil

Bibliografia

  • Annicchiarico P. (1997): Additive main effects and multiplicative interaction (AMMI) analysis of genotype-location interaction in variety trials repeated over years. Theor. Appl. Genet. 94: 1072-1077.[Crossref]
  • Annicchiarico P. (2002): Genotype × environment interaction: Challenges and opportunities for plant breeding and cultivar recommendations. Food and Agriculture Organization of the United Nations. FAO, Rome, Italy.
  • Arciniegas-Alarcn S., Garcia-Peña M., Dias C.T.S., Krzanowski W. J., (2010): An alternative methodology for imputing missing data in trials with genotypeby- environment interaction. Biometrical Letters 47: 1-14.
  • Cornelius P.L., Crossa J. (1999): Prediction assessment of shrinkage estimators of multiplicative models for multi-environment trials. Crop Science 39: 998-1009.[Crossref]
  • Cornelius P.L., Seyedsar M., Crossa J. (1992): Using the shifted multiplicative model to search for “separability” in crop cultivar trials. Theoretical and Applied Genetics 84: 161-172.
  • Dias C.T.S., Krzanowski W.J. (2006): Choosing components in the additive main effect and multiplicative interaction (AMMI) models.Scientia Agricola 63: 169-175.
  • Dias C.T.S., Krzanowski W.J. (2003): Model selection and cross validation in additive main effect and multiplicative interaction models. Crop Science 43: 865-873.[Crossref]
  • Falconer D.S., Mackay T.F.C. (1996): Introduction to quantitative genetics. 4nd ed. Edinburgh: Longman Group Limited.
  • Gabriel K.R. (1971): The biplot graphic display of matrices with application to principal components analysis. Biometrika 58: 453-467.[Crossref]
  • García-Peña M., Dias C.T.S. (2009): Analysis of bivariate additive models with multiplicative interaction (AMMI). Biometric Brazilian Journal 27(4): 586-602.
  • Gauch H.G. (1988): Model selection and validation for yield trials with interaction. Biometrics 44(3): 705-715.[Crossref]
  • Gauch H.G. (1992): Statistical analysis of regional yield trials: AMMI analysis of factorial designs. Elsevier, Amsterdam.
  • Gauch H.G. (2006): Statistical analysis of yield trials by AMMI and GGE. Crop Science 46: 1488-1500.[WoS][Crossref]
  • Gauch H.G. (2013): A Simple Protocol for AMMI Analysis of Yield Trials. Crop Science:(in press).[WoS]
  • Gauch H.G., Zobel R.W. (1988): Predictive and postdictive success of statistical analysis of yield trials. Theoretical and Applied Genetics 76: 1-10.
  • Gauch H.G., Zobel R.W. (1996): AMMI analysis of yield trials. In Genotype by environment interacrtion, pp. 85-122. Eds Kang M.S., Gauch H.G. New York, USA: CRC Press.
  • Gauch H.G.; Piepho H.P.; Annicchiarico P. (2008): Statistical analysis of yield trials by AMMI and GGE: Further considerations. Crop Sci. 48: 866-889.[WoS][Crossref]
  • Gauch H.G., Rodrigues P.C., Munkvold J.D., Heffner E.L., Sorrells M. (2011): Two New Strategies for Detecting and Understanding QTL × Environment Interactions. In Crop Sci 51: 96-113.[Crossref][WoS]
  • Gollob H.F. (1968): A statistical model which combines feature of factor analitic and analysis of variance techniques. Psychometrika 33: 73-115.[Crossref]
  • Piepho H. P. (1995): Robustness of statistical test for multiplicative terms in the additive main effects and multiplicative interaction model for cultivar trials. Theoretical and Applied Genetics, 90(3/4): 438-443.
  • Rodrigues P.C., Malosetti M., Gauch H. G., Van Eeuwijk F.A. (2014): A weighted AMMI algorithm to study genotype-by-environment interaction and QTLby- environment interaction. Crop Science.[WoS]
  • Smith M.F., Gauch H.G. (1992): Effects of noise on AMMI and hierarchical classification analyses. South African Statist J. 26: 121-142.
  • SAS Institute. (2004): SAS/IML 9.1 User.s guide. Carey: SAS Institute Inc.
  • Yan W., Kang M.S., Ma B., Woods S., Cornelius P.L. (2007): GGE biplot vs.
  • AMMI analysis of genotype-by-environment data. Crop Sci. 47: 643-655.[WoS]
  • Yang R. C., Crossa J., Cornelius P.L., Burgueño J. (2009): Biplot analysis of genotype × environment interaction: Proceed with caution. Crop Sci. 49: 1564-1576.[Crossref]
  • Yan W. (2010): Optimal Use of Biplots in Analysis of Multi-Location Variety Test Data. Acta Agronomica Sinica, 36 (11): 1805-1819.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_2478_bile-2014-0007
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