Mathematical approaches for assessment and classification of the European Union member states based on the average yield of vegetables for the period 1961-2014

N. Keranova*

Faculty of Economics, Agricultural University-Plovdiv, 4000 Plovdiv, Bulgaria (Manuscript received 30 May 2017; accepted for publication 27 July 2017)

Abstract. The objective of this work is to analyze the statistical data on the average yield of vegetables in the European Union member states for the period 1961 – 2014. The EU countries are classified and grouped through hierarchical cluster analysis based on the average yield of vegetables. A mathematical model for evaluation of the received data is composed through a single-factor analysis of variance (ANOVA). The results show that the countries with the highest yields are Belgium (33.81 t/ha), Austria (29.39 t/ha) and the Netherlands (27.76 t/ha), while the lowest yields are in Bulgaria (4.05 t/ha) and Luxembourg (0.19 t/ha). Dependencies have been identified between the change in the average yields in Bulgaria, Greece and Romania and time. It was found that they were modeled by polynomial regression models of second degree.