Linear Mixed Model for Genotype Selection of Sorghum Yield

Data analysis using the General linear model assumes the factors to be fixed effects, and the BLUE method, which is based on their mean performance, is appropriate to select the best performing genotypes. The linear mixed model incorporates fixed and random effects that are very important to compare...

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Main Authors: Mulugeta Tesfa, Temesgen Zewotir, Solomon Assefa Derese, Denekew Bitew Belay, Hussein Shimelis
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/5/2784
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author Mulugeta Tesfa
Temesgen Zewotir
Solomon Assefa Derese
Denekew Bitew Belay
Hussein Shimelis
author_facet Mulugeta Tesfa
Temesgen Zewotir
Solomon Assefa Derese
Denekew Bitew Belay
Hussein Shimelis
author_sort Mulugeta Tesfa
collection DOAJ
description Data analysis using the General linear model assumes the factors to be fixed effects, and the BLUE method, which is based on their mean performance, is appropriate to select the best performing genotypes. The linear mixed model incorporates fixed and random effects that are very important to compare a genotype’s performance through BLUP. The purpose of this study was to identify the best performing genotypes that provided a high grain yield using a mixed model, compare the mean performance of genotypes on grain yield using BLUP and BLUE, and determine the impact of drought on sorghum production in Ethiopia. The experiment used water availability as a treatment, and each replication within the treatment levels used a lattice square design for data collection. The design consisted of 14 × 14 square experimental units (plots) comprising 196 genotypes, where each row of the square was represented as a block receiving 14 genotypes. The phenotypic characteristics were measured for the study. The statistical methods used for the study were ANOVA and the linear mixed model to identify the best performing genotypes of sorghum. The study found that sorghum production was influenced by drought, which restricted sorghum growth due to a shortage of water. The implementation of irrigation increased the grain yield from 2.48 to 3.17 t/ha, indicating that the difference in grain yield between treatments (with and without irrigation) was 0.69 t/ha. The study compared the general linear model and linear mixed model, and the investigation revealed that the mixed model was more accurate than the general linear model. The linear mixed model selected the best performing genotypes in grain yield with better accuracy. It is recommended to use the linear mixed model to select the best performing genotypes in grain yield.
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spelling doaj.art-063ee480c01049b49139e85dd66d8c0c2023-11-17T07:15:00ZengMDPI AGApplied Sciences2076-34172023-02-01135278410.3390/app13052784Linear Mixed Model for Genotype Selection of Sorghum YieldMulugeta Tesfa0Temesgen Zewotir1Solomon Assefa Derese2Denekew Bitew Belay3Hussein Shimelis4Department of Statistics, College of Science, Bahir Dar University, Bahir Dar P.O. Box. 79, EthiopiaSchool of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Durban 4041, South AfricaDepartment of Plant Science, College of Agriculture, Woldia University, Woldia P.O. Box. 53, EthiopiaDepartment of Statistics, College of Science, Bahir Dar University, Bahir Dar P.O. Box. 79, EthiopiaSchool of Agricultural, Earth and Environmental Sciences, College of Agriculture, Engineering & Science, Pietermaritzburg, University of KwaZulu-Natal, Durban 4041, South AfricaData analysis using the General linear model assumes the factors to be fixed effects, and the BLUE method, which is based on their mean performance, is appropriate to select the best performing genotypes. The linear mixed model incorporates fixed and random effects that are very important to compare a genotype’s performance through BLUP. The purpose of this study was to identify the best performing genotypes that provided a high grain yield using a mixed model, compare the mean performance of genotypes on grain yield using BLUP and BLUE, and determine the impact of drought on sorghum production in Ethiopia. The experiment used water availability as a treatment, and each replication within the treatment levels used a lattice square design for data collection. The design consisted of 14 × 14 square experimental units (plots) comprising 196 genotypes, where each row of the square was represented as a block receiving 14 genotypes. The phenotypic characteristics were measured for the study. The statistical methods used for the study were ANOVA and the linear mixed model to identify the best performing genotypes of sorghum. The study found that sorghum production was influenced by drought, which restricted sorghum growth due to a shortage of water. The implementation of irrigation increased the grain yield from 2.48 to 3.17 t/ha, indicating that the difference in grain yield between treatments (with and without irrigation) was 0.69 t/ha. The study compared the general linear model and linear mixed model, and the investigation revealed that the mixed model was more accurate than the general linear model. The linear mixed model selected the best performing genotypes in grain yield with better accuracy. It is recommended to use the linear mixed model to select the best performing genotypes in grain yield.https://www.mdpi.com/2076-3417/13/5/2784linear mixed modelbest performing genotypegenotype selection
spellingShingle Mulugeta Tesfa
Temesgen Zewotir
Solomon Assefa Derese
Denekew Bitew Belay
Hussein Shimelis
Linear Mixed Model for Genotype Selection of Sorghum Yield
Applied Sciences
linear mixed model
best performing genotype
genotype selection
title Linear Mixed Model for Genotype Selection of Sorghum Yield
title_full Linear Mixed Model for Genotype Selection of Sorghum Yield
title_fullStr Linear Mixed Model for Genotype Selection of Sorghum Yield
title_full_unstemmed Linear Mixed Model for Genotype Selection of Sorghum Yield
title_short Linear Mixed Model for Genotype Selection of Sorghum Yield
title_sort linear mixed model for genotype selection of sorghum yield
topic linear mixed model
best performing genotype
genotype selection
url https://www.mdpi.com/2076-3417/13/5/2784
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AT temesgenzewotir linearmixedmodelforgenotypeselectionofsorghumyield
AT solomonassefaderese linearmixedmodelforgenotypeselectionofsorghumyield
AT denekewbitewbelay linearmixedmodelforgenotypeselectionofsorghumyield
AT husseinshimelis linearmixedmodelforgenotypeselectionofsorghumyield