Using copulas for modeling the dependence between tree height and diameter at breast height

Abstract

In the paper the relation between height and diameter at breast height of a tree is modeled by means of copulas. For this modeling the marginal distributions of tree height and diameter at breast height are estimated and thereafter the multivariate joint distribution function is approximated with copulas. Several Archimedean copulas and the Gaussian copula are used in modeling of the bivariate distribution of the interest. Different obtained models are compared.