Paul M. Rich, Kaius Helenurm, Daniel Kearns, Suzanne R. Morse, Michael W. Palmer, Linda Short, Height and Stem Diameter Relationships for Dicotyledonous Trees and Arborescent Palms of Costa Rican Tropical Wet Forest, Bulletin of the Torrey Botanical Club, Vol. 113, No. 3 (Jul. - Sep., 1986), pp. 241-246
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Rich et al. (1986) studied this question.