AMMI Model for Yield Stability Analysis of Linseed Genotypes for the Highlands of Bale, Ethiopia

Tadele Tadesse

doi:10.11648/j.plant.20170506.12

Abstract

In order to determine stable linseed genotypes with high grain yield, field experiments were conducted with 14 genotypes for two years (2014-2015) at three locations in the highlands of Bale zone, Ethiopia. The genotypes were laid out in randomized complete design with four replications in each environment. The objective of this study was to identify and recommend high yielder, stable genotypes for testing sites and similar agro-ecologies using the stability parameters. The combined analysis of variance showed highly significant differences for the genotypes, environment, and genotype by environment interaction indicating the possible existence of stable genotypes among the tested once. The results of AMMI (additive main effect and multiplicative interaction) analysis indicated that the first two AMMI (AMMI1-AMMI2) were highly significant (P<0.01). The partitioning of the total sum of square exhibited that the effect of environment was a predominant source of variation followed by genotypes and GE interaction effect. Based on the stability parameters regression coefficient, deviation from regression and mean grain yield out of the tested G6, G9, G11, and G8 were found to be stable. However, the AMMI Stability Value (ASV) discriminated genotypes G12, G4, G6, G13, and G9 as stable genotypes respectively. Based on the Genotypes Selection Index (GSI) the most stable genotypes with high grain yield were G6 and G9. Therefore these two genotypes were identified as candidate genotypes to be verified for possible release.

Highlights

Ethiopia is considered to be the center of diversity for linseed [25]
The principal linseed growing regions in Ethiopia are located at altitudes between 1800 and 2800m, it occasionally grows at altitudes as low as 1680m or as high as 3430m [4]
The additive main effect and multiplicative interaction (AMMI) analysis was performed using the model suggested by [3] as: Yij=μ+gi+ej+∑n=1hλnαni.Ynj+Rij where, Yij is the yield of the ith genotype in the jth environment, μ is the grand mean, gi is the mean of the ith genotype minus the grand mean ej is the mean of jth environment minus the grand mean, λn is the square root of the eigen value of the principal component Analysis (PCA) axis, αni and Ynj are the principal are the principal component scores for the PCA axis n of the ith genotype and jth environment, respectively and Rij is the residual

Summary

Introduction

The principal linseed growing regions in Ethiopia are located at altitudes between 1800 and 2800m, it occasionally grows at altitudes as low as 1680m or as high as 3430m [4]. Bale, Chercher Mountains, Eastern Welega, Eastern Gojam, Tigray, and southeast Welo, and Shewa are the major areas of production where frost is a problem for other oilseed crops such as noug (Guizotia abyssiniccacass) and Ethiopian mustard Linseed is a major oilseed and rotation crop for barley in higher elevations of Arsi, Bale, Gojam, Gonder, Wello, Shewa and Welega parts of Ethiopia. Barley and tef can be obtained following linseed [11]. Though the crop has so many important merits, its production per unit areas is very low due to the lack of stable and high yielding cultivar. Yield is a complex character where it is highly influenced by both genes as well as environment

Objectives

Methods

Findings

Discussion

Conclusion