Rice Genomics and Genetics 2013, Vol. 4, No. 5, 22-27
              
            
            
              http://rgg.biopublisher.ca
            
            
              23
            
            
              the data (Gauch, 1992). AMMI is a combination of
            
            
              ANOVA for the main effects of the genotypes and the
            
            
              environment together with principal components
            
            
              analysis (PCA) of the genotype-environment
            
            
              interaction (Zobel et al., 1998; Gauch, 1988). AMMI
            
            
              models are usually called AMMI (1), AMMI (2), to
            
            
              AMMI (n), depending on the number of principal
            
            
              components used to study the interaction. Graphic
            
            
              representations are obtained using bi-plots (Gabriel,
            
            
              1971) that allow (1) the observation, in the same
            
            
              graph, of the genotypes (points) and the environments
            
            
              (vectors), and (2) the exploration of patterns
            
            
              attributable to the effects of G × E interaction. In the
            
            
              bi-plot, the angles between the vectors that represent
            
            
              genotypes and environments show the interaction, and
            
            
              the distances from the origin indicate the degree of
            
            
              interaction that the genotypes show throughout the
            
            
              environments or vice versa.
            
            
              Performance of improved, high yielding varieties of
            
            
              rice over different agro ecological regions of India has
            
            
              been well documented by several workers
            
            
              (Vijayakumar et al., 2001). The occurrence of G x E
            
            
              interaction within target environments necessitates
            
            
              conduct of multi-environment trials to evaluate
            
            
              genotype adaptation. A lot of work has been done in
            
            
              rice for phenotypic stability and adaptability of
            
            
              varieties as far back as early 1970. Tang et al. (1975)
            
            
              tested eleven
            
            
              
                japonica
              
            
            
              lines in sixteen environments
            
            
              for one set and fourteen environments for second set
            
            
              and found that, average yields of the lines over
            
            
              environments were highly correlated between two
            
            
              environments. No linear response was observed for
            
            
              the stability performance of lines between sets. Naidu
            
            
              et al. (1980) identified IET-2730, a red grained variety
            
            
              stable in Karnataka state and in other 29 locations
            
            
              throughout India. In another study, RD 3 and IR 8
            
            
              were recognized as satisfactorily stable varieties for
            
            
              yield among 14 lines tested over 22 localities by
            
            
              Poonyarth et al. (1980). Sudin (1985) observed that
            
            
              shorter the plant, the lower was the stability in his
            
            
              investigations on adaptability and stability.
            
            
              In recent years, AMMI analysis has been applied to
            
            
              interpret GEI in rice (Wade et al., 1999; Vijayakumar
            
            
              et al., 2001; Lafitte et al., 2002; Stanley et al., 2005;
            
            
              Mall et al., 2005; Ouk et al., 2007). Vijayakumar et al.,
            
            
              (2001) studied G × E interaction effects on yield of 16
            
            
              rice hybrids evaluated over 11 locations in different
            
            
              agro ecological regions of India. They reported
            
            
              presence of significant GEI that influenced the relative
            
            
              ranking of hybrids across the locations. It was evident
            
            
              from AMMI analysis that, genotypes, environment
            
            
              and the first principal component of interaction effect
            
            
              accounts for 86.96% of treatment sum of squares and
            
            
              that the first five principal components of interaction
            
            
              effect were found to be significant. The usefulness of
            
            
              the AMMI in selecting genotypes for general or
            
            
              specific adaptation was depicted by these authors. Das
            
            
              et al., (2010) conducted multi location yield trials of
            
            
              11 mid-early (110-125 days) rice genotypes at four
            
            
              locations in Odisha state, India, over 3 years-
            
            
              2003~2005, during kharif season. According to Das
            
            
              and colleagues, AMMI-predicted yield showed that
            
            
              Lalat and OR 2006-12 were high yielders and
            
            
              possessed broad adaptation to most locations.
            
            
              Genotypes showing good adaptation to specific
            
            
              locations were OR 2200-5 for Ranital, OR 2172-7 and
            
            
              OR 1916-19 for Bhubaneswar, OR 1976-11 for
            
            
              Chiplima and Konark for Ranital.
            
            
              The main objectives of the present investigation is to
            
            
              determine the GEl effects on grain yield of Superior
            
            
              BILs derived from Swarna × WAB 450 inter cross and
            
            
              to select genotypes that are widely adapted across
            
            
              upland rice growing rainfed areas in North Karnataka,
            
            
              India.
            
            
              
                1 Results and Discussion
              
            
            
              Table 1 presents result of Additive Main Effects and
            
            
              Multiplicative Interaction (AMMI) analysis of
            
            
              variance for grain yield (kg/ha) of 19 BILs with 3
            
            
              check varieties (Swarna, Pasanna and MGD 101)
            
            
              tested at 3 locations in six environments. Table 2
            
            
              presents mean grain yield (kg/ha) of 19 BILs with
            
            
              three checks grown in 6 environments and the PCA
            
            
              scores for the GE Interaction effect as derived from
            
            
              AMMI analysis. The means of the genotypes and the
            
            
              environments along with the first principal component
            
            
              (PCAI) scores of corresponding genotypes are also
            
            
              presented. The genotype mean yields ranged from
            
            
              3935.79 kg/ha to 5917.02 kg/ha (Table 2).
            
            
              Result showed that genotypes, environments and GEI