COMPUTER SIMULATION OF BRANCH INTERACTION AND REGULATION BY UNEQUAL FLOW RATES IN BOTANICAL TREES

Two aspects of branch interaction in trees are investigated theoretically. In the first it is assumed that there is a controlling factor in which the proximity of neighboring terminal branch units influences their branching capability. The almost horizontal tiers of lateral branches of Terminalia catappa L. and Cornus alternifolia L. are simulated by computer using values based on the measured branch geometries of real trees. For branch interaction, we assume a horizontal circle of inhibition whose center is the existing terminal point of a branch. If the end point of another branch extends into the circle, the original branch fails to bifurcate. Examples of computer simulated patterns are illustrated using different degrees of interference and are compared with branch tiers in T. catappa. In the second model the ability of a terminal branch unit to bifurcate is considered to be determined by the accumulation of a critical amount of a hypothetical growth- or bifurcation-determining factor. The daughter branches of a bifurcation are assumed to have differing “flow rates,” i.e., the factor is distributed in different amounts between different daughter axes. Some simulated patterns generated by this model are very similar to real patterns found in T. catappa and an unnamed species of Tabernaemontana. In both simulations bifurcation ratios are determined and are shown to be a variable, not a fixed, property of the simulated trees.