IJCsatellite IJCsatellite/qbio Quantitative Biology q-bio.PE/0502029 http://arxiv.org/pdf/q-bio.PE/0502029 Title: The Species Abundances Distribution in a new perspective Authors: M. Ravasz, A. Balog, V. Marko, Z. Neda Comments: 8 pages, 4 figures Subj-class: Populations and Evolution; Quantitative Methods Studies on distribution, abundance and diversity of species revealed fascinating universalities in macroecology. Many of these patterns, like the species-area and range-abundance relationship or the year-to-year fluctuations in population sizes are expressed as power-law distributions, and indicate thus scale-invariance. The species abundance distribution (SAD) apparently shows this scale-free nature only for rare species, and its mathematical form is much debated. In the present work we propose a new mathematical expression for SAD which describes reasonable well most of the presently available large-scale experimental data and the results of the neutral models. This distribution function leads to an interesting relation between the total number of individuals, total number of species and the size of the most abundant species of the meta-community. This novel scaling relation is confirmed by computer simulations on neutral models. 種の豊富さの分布についての新しい見方 Abstract 内容 主な結果は という形の個体数分布を仮定すると、BCIデータの個体数の大きな領域でのべきからのずれおよび中立モデルのシミュレーション結果とよく合うことと、この分布を仮定すると、総個体数 などのスケーリング関係が導かれ、これもシミュレーション結果と合うこと、の2点. ちなみに著者らは全く触れていないが、上の分布から総個体数分布 となって正準仮説(canonical hypothesis)が満たされている.
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