Ratio of tree branch lengths: The equitable distribution of leaf clusters on branches | Zendy

Hisao Honda | Zendy; Jack B. Fisher | Zendy

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Ratio of tree branch lengths: The equitable distribution of leaf clusters on branches

Author(s) -

Hisao Honda,

Jack B. Fisher

Publication year - 1979

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.76.8.3875

Subject(s) - distribution (mathematics) , tree (set theory) , mathematics , main branch , botany , bifurcation , geometry , combinatorics , biology , horticulture , physics , mathematical analysis , nonlinear system , quantum mechanics

The theoretical optimal ratios of branch lengths, which produce the most equitable distribution (minimum deviation) of leaf clusters in a computer-stimulated branch system, are similar to the observed ratios in real trees of Terminalia. In another study, observed values for branch angles in this species were shown to be similar to theoretical optimal values that produce the maximum effective leaf area. The relationship between these two fundamental parameters of bifurcation and tree geometry and their effect on effective leaf area and distribution of leaves are discussed.

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