Branching Pattern Modeling for Psychotoria species and Their Deterministic Algorithm

Abstract

Back Ground: The branching patterns and the subsequent elongations of two shrub Psychotria species, Pyschotoria rubra and Psychotoria manillensis, in Okinawa Island, the Ryukyu Islands, Japan, were examined by Watanabe. His results showed that Hamilton’s classication for Psychotria species in the South American continent is also applicable to the same species in Okinawa Island. After Watanabe’s research, the author of the present paper introduced branching pattern models for same species to simulate their branching patterns theoretically. He also determined the branching pattern models in earlier growth stages and calculated their occurrence probabilities. To proceed with the analyses, a systematic construction of the branching pattern models has been required. Aims: To rene our earlier branching pattern models of P. rubra and P. manillensis in view of vector representation and to introduce a deterministic algorithm which produces the branching pattern models systematically.