On the mathematical basis of the variance-mean power relationship

研究成果: Contribution to journalArticle査読

21 被引用数 (Scopus)

抄録

The mathematical basis of a widely-known variance-mean power relationship of ecological populations was examined. It is shown that the log variance (S 2)-log mean, (m) plot is virtually delimited by two lines log S 2=log n+2 log m and log S 2=log m, thus increasing the chance that a linear regression line can be successfully fitted, without a profoundly behavioural background. This makes difficult the task of interpreting a successful fit of the power law regression and its parameter b in a biologically meaningful manner. In comparison with the power law regression, Iwao's m *-m regression is structurally less constrained, i.e. has a wider spatial region in which data points can scatter. This suggests that a comparison between the two methods in terms of how good a fit is achieved for a particular data set is largely meaningless, since the power law regression may inherently produce a better fit due to its constrained spatial entity. Furthermore, it could be argued that a successful fit in Iwao's method, when found, is less taxed with mathematical arterfacts and perhaps more clearly linked to some biological mechanisms underlying spatial dispersion of populations.

本文言語英語
ページ(範囲)43-48
ページ数6
ジャーナルResearches on Population Ecology
37
1
DOI
出版ステータス出版済み - 6 1 1995
外部発表はい

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)

フィンガープリント 「On the mathematical basis of the variance-mean power relationship」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル