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The concept of extreme value distribution modelling originated from the probability theory and statistics. It is also known as Fisher-Tippett distribution (Willemse and Kaas, 2007). It is a family of continuous probability distributions (GorgosoVarela et al., 2015). The generalized extreme value (GEV) distribution integrates Gumbel (type I), Fréchet (type II), and Weibull (type III) distributions into a family of models. GEV has been applied to forecast extreme events, such as earthquakes, floods, and other natural disasters. For example, Feng et al. (2007) applied GEV distribution to model annual extreme precipitation in China. Mitková and Halmová (2014) used Gumbel distribution to model the joint distribution of flood peak discharges, volume and duration for the Danube River in Bratislava. Burke et al. (2010) used Gumbel distribution to describe droughts and projected change for the UK. Gorgoso-Varela and Rojo-Alboreca (2014) suggested that the extreme value distributions could be applied to forestry study to describe the maximum and minimum diameters of trees. For example, the distributions commonly used for size class modelling (e. g. Weibull, beta, Johnson SB, and Burr) СИБИРСКИЙ ЛЕСНОЙ ЖУРНАЛ. 2018. No 4. С. 39–48

sibirskij lesnoj žurnal

APPLICATION OF EXTREME VALUE DISTRIBUTION FOR ASSIGNING OPTIMUM FRACTIONS TO DISTRIBUTIONS WITH BOUNDARY PARAMETERS: AN EUCALYPTUS PLANTATIONS CASE STUDY