Power-law versus exponential distributions of animal group sizes

DOI10.1016/S0022-5193(03)00192-9zbMath1441.92049arXivcond-mat/0305241OpenAlexW2060835744WikidataQ47645038 ScholiaQ47645038MaRDI QIDQ2177376

Hiro-Sato Niwa

Publication date: 6 May 2020

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0305241

zbMATH Keywords

stochastic differential equationsize distributionpower lawanimal group

Mathematics Subject Classification ID

Ecology (92D40)

Related Items (11)

Variability in group size and the evolution of collective action ⋮ Numerical approximation of a coagulation-fragmentation model for animal group size statistics ⋮ Space-irrelevant scaling law for fish school sizes ⋮ Power-law scaling in dimension-to-biomass relationship of fish schools ⋮ Temporal oscillations in Becker–Döring equations with atomization ⋮ Investigating small fish schools: selection of school -- formation models by means of general linear models and numerical simulations ⋮ Fitting statistical distributions to sea duck count data: implications for survey design and abundance estimation ⋮ Non-linear advection-diffusion equations approximate swarming but not schooling populations ⋮ Coagulation-fragmentation model for animal group-size statistics ⋮ A first principles derivation of animal group size distributions ⋮ Self-similar spreading in a merging-splitting model of animal group size

Cites Work

• The steady-state distributions of coagulation-fragmentation processes
• The equilibrium behavior of reversible coagulation-fragmentation processes
• The dynamics of group formation

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