Correlations between the stability and adaptability statistics of popcorn cultivars

• DOI: 10.1007/s10681-010-0118-y
• Publication Date: 2010-01-15T15:25:44Z
• Authors: Carlos Alberto Sc...; Cleso Antônio Pat...; Antônio Teixeira ...; Rafael Augusto Vi...; Ronald José Barth...; Thiago Vincenzi C...
• Keywords: 2. Zero hunger; 0106 biological sciences; 01 natural sciences

In plant breeding, correlations between the statistics of stability and adaptability of popcorn cultivars are not yet well understood. Therefore, the objectives of the present experiment was to investigate the correlations between $$ \sigma_{\rm di}^{2} $$ and $$ \beta_{\rm i} $$ from Eberhart and Russell, ωi from Wricke, $$ {\text{S}}_{\text{i}}^{(1)} $$ , $$ {\text{S}}_{\text{i}}^{(2)} $$ and $$ {\text{S}}_{\text{i}}^{(3)} $$ from Huehn, Pi from Lin and Binns and the rank-sum from Kang, and indicate the most reliable method for selecting popcorn cultivars. These statistics were estimated by data of crop yield from 19 Brazilian genotypes under 21 environments and popping expansion under 16 environments. The ωi, $$ {\text{S}}_{\text{i}}^{(1)} $$ , $$ {\text{S}}_{\text{i}}^{(2)} $$ , $$ {\text{S}}_{\text{i}}^{(3)} $$ and $$ \sigma_{\rm di}^{2} $$ were positively and significantly correlated indicating that just one in these five statistics is sufficient for selecting stable genotypes although they were not correlated with the means of crop yield and popping expansion. The $$ \beta_{\rm i} $$ was negatively and significantly correlated with Pi for crop yield indicating that the most adaptable genotypes tend to have the lowest estimates of Pi. Although Pi was not correlated with ωi, $$ {\text{S}}_{\text{i}}^{(1)} $$ , $$ {\text{S}}_{\text{i}}^{(2)} $$ , $$ {\text{S}}_{\text{i}}^{(3)} $$ , or $$ \sigma_{\rm di}^{2} $$ statistics, it displayed positive correlation with the Index 1 (crop yield and popping expansion + $$ {\text{S}}_{\text{i}}^{(1)} $$ rank) and Index 2 (crop yield and popping expansion + Wi) indicating that superior popcorn genotypes are also stable. Finally, both Pi and the rank-sum are useful statistics in breeding programmes where crop yield, popping expansion and stability are essential traits for selecting genotypes.