Divergence in the dry bean collection by Principal Component Analysis (PCA)

Abstract

We studied the divergence of our beans collection. The study included two qualitative traits, grain color and shape, and 13 quantitative traits, namely three components of plant height, five direct yield components and five chemical properties of grain. The principal component analysis (PCA) showed which of the traits were decisive in genotype differentiation. The principal components were formed based on the correlation matrix and shown through unrotated and rotated values of trait correlation with the main axes. The percentage contribution of particular principal components to total variability was shown, as was the accumulation of variability. The variability of the collection was interpreted based on the seven principal components, the first one describing genotype productivity, the second grain shape, the third grain size, the fourth genotype harvestability and the last three describing the chemical composition of grain.

Ispitivana je divergentnost kolekcije pasulja. Posmatrane su boja i oblik zrna pasulja kao kvalitativne i 13 kvantitativnih osobina (tri komponente visine biljke, pet direktnih komponenti prinosa i pet hemijskih osobina zrna). Analizom glavnih komponenata (PCA) utvrđeno je koje su od ispitivanih osobina odlučujuće u diferenciranju genotipova. Glavne komponente su formirane na osnovu korelacione matrice. Prikaz glavnih komponenti vršen je preko nerotiranih i preko rotiranih vrednosti korelacija osobina sa glavnim osama. Prikazan je procentualni udeo pojedinih glavnih komponenata u ukupnoj varijabilnosti, kao i kumulacija varijabilnosti. Za objašnjenje varijabilnost kolekcije dovoljno je bilo sedam glavnih komponenata. Prva glavna komponenta govori o produktivnosti genotipa, druga o obliku zrna, treća o krupnoći zrna, četvrta o pogodnosti genotipova za žetvu, a ostale tri o hemijskom sastavu zrna.