Geometrical effect of island shape on the species richness

Kazuhito Yamasaki, Satoshi Chiba, Hiroyuki Nagahama

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We introduce a new immigration model which merges two aspects of island length. One aspect is determination of colonizer's chance of reaching recipient island, and the other is constraint on the statistical self-affinity (anisotropy) of island shapes. This immigration model derives the famous power law on species-area (SA) relation, which shows that the number of species on the anisotropic island is constrained by not only the size of the island area but also the shape of the island. From this viewpoint, we analyze an SA curve of the land snail fauna in Ryukyu arc, Japan. Moreover, we show that species of the most previous studies have immigrated along the island chain due to the stepping-stone dispersal.

Original languageEnglish
Pages (from-to)353-357
Number of pages5
JournalFractals
Volume7
Issue number4
DOIs
Publication statusPublished - 1999 Jan 1

ASJC Scopus subject areas

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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