hig.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A first principles derivation of animal group size distributions
Department of Mathematics, Uppsala University.
Department of Mathematics, Uppsala University. (Matematik)
Department of Mathematics, Uppsala University.
2011 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 283, no 1, 35-43 p.Article in journal (Refereed) Published
Abstract [en]

Several empirical studies have shown that the animal group size distribution of many species can be well fit by power laws with exponential truncation. A striking empirical result due to Niwa is that the exponent in these power laws is one and the truncation is determined by the average group size experienced by an individual. This distribution is known as the logarithmic distribution. In this paper we provide first principles derivation of the logarithmic distribution and other truncated power laws using a site-based merge and split framework. In particular, we investigate two such models. Firstly, we look at a model in which groups merge whenever they meet but split with a constant probability per time step. This generates a distribution similar, but not identical to the logarithmic distribution. Secondly, we propose a model, based on preferential attachment, that produces the logarithmic distribution exactly. Our derivation helps explain why logarithmic distributions are so widely observed in nature. The derivation also allows us to link splitting and joining behavior to the exponent and truncation parameters in power laws.

Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 283, no 1, 35-43 p.
Keyword [en]
Truncated power law, merge and split dynamics
National Category
Biological Sciences
Identifiers
URN: urn:nbn:se:hig:diva-12928DOI: 10.1016/j.jtbi.2011.04.031ISI: 000298526600005OAI: oai:DiVA.org:hig-12928DiVA: diva2:553011
Available from: 2012-09-17 Created: 2012-09-17 Last updated: 2016-07-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Johansson, Anders
In the same journal
Journal of Theoretical Biology
Biological Sciences

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 46 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf