Parametric and Non Parametric measures to compare fixed and random effects of malt barley genotypes

Abstract

AMMI analysis of 21 malt barley genotypes evaluated at nine locations of north western plains zone revealed highly significant variation due to environments (61.8%), G x E interactions (19.5%) and genotypes (8.2%). Further, interaction effects were partitioned into seven interactions principal components. AMMI stability Value measures (ASV1 and ASV) had considered first two interaction principal  components and based on 54.1% of total interaction variations had recommended (PL926, PL931, RD2849) and (BH1036, PL931, RD2849) malt barley genotypes respectively. Modified AMMI Stability Values measures (MASV1 and  MASV) had exploited nearly 97.6% of total interaction variations, based on which BH1036, DWRB219, RD2849 and BH1036, DWRB219,  PL926 malt barley genotypes were identified for  stable yield performance. Geometric Mean (GM)  based on BLUP effects of genotypes yield was in favour of DWRB219, BH1036 and DWRB221 while corresponding to Harmonic Mean of yield values,  DWRB219, BH1036, DWRB221 genotypes would be of choice. Relative Performance of Genotypic Values (RPGV) favored DWRB219, BH1036 , DWRB221 barley genotypes and Harmonic Mean of Relative Performance of Genotypic Value (HMRPGV) measure favoured DWRB219, BH1036, DWRB220 malt genotypes. Non parametric composite measure, NP_i ⁽¹⁾ , suggested that UPB1097, RD3029, DWRB218 were suitable,  whereas DWRB219, RD3029, G4 genotypes would be preferable  as per values  NP_i⁽²⁾ while NP_i⁽³⁾  identified  DWRB219, BH1036, DWRB160. The composite measure NP_i⁽⁴⁾  found  DWRB219, BH1036, DWRB160 as genotypes of choice for this zone. Measures MASV, MASV1, S_i¹, S_i³, S_i⁴, S_i⁵,S_i⁶ ,S_i⁷, S_i², NP_i ⁽¹⁾, ASV and ASV1 accounted more in first principal component, whereas NP_i ^(2), NP_i ⁽³⁾, NP_i ^(4), Average,  GM, HM,  Mean,  PRVG, HMPRVG were major contributors  for second principal component. Small cluster of standard deviation (Stdev) with CV, IPC4 and IPC7 were placed in second quadrant. Smallest cluster of IPC1 and IPC6 was also observed in this quadrant. Large cluster comprised of NP_i⁽¹⁾, S_i² ,S_i⁵ S_i² ,S_i⁵ ,S_i⁶ with ASV and ASV1.  Measures GM, HM, PRVG and HMPRVG considered random effects of genotypes grouped with average and placed in last quadrant while adjacent cluster of NP_i⁽²⁾, NP_i⁽³⁾, and NP_i⁽⁴⁾  observed in same quadrant. Close association among the AMMI analysis based measures had been observed with adaptability measures based on BLUP effects of malt barley genotypes in the present study based on the Biplot analysis while considering first two principal components..

Keywords:  Barley, Multivariate parametric, Random, Fixed,  Non parametric composite measures