Furthermore,the maximum diameter of the distributions and the upper limit of the highest diameter class, which depend on the maximum diameter, are usually used as the upper boundary in four-parameter distributions such as the beta function (Zöhrer 1969, 1970; Loetsch et al. 1973; Gorgoso-Varela et al. 2008). This value is also used as
a scale parameter, in the Johnson’s SB four-parameter distribution (Gorgoso et al. 2012) or in combination with the
minimum diameter to calculate the range used as the scale parameter (Schreuder and Hafley 1977; Scolforo et al. 2003).
The maximum diameter is also considered as an independent variable in some generalized height-diameter models (Lenhart 1968; Amateis et al. 1995). Readers may also be able to identify new applications.