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Literature DB >> 10200286

Scaling in animal group-size distributions.

Abstract

An elementary model of animal aggregation is presented. The group-size distributions resulting from this model are truncated power laws. The predictions of the model are found to be consistent with data that describe the group-size distributions of tuna fish, sardinellas, and African buffaloes.

Entities: Species

Mesh：

Year: 1999 PMID： 10200286 PMCID： PMC16356 DOI： 10.1073/pnas.96.8.4472

Source DB: PubMed Journal: Proc Natl Acad Sci U S A ISSN： 0027-8424 Impact factor: 11.205

13 in total

1. Stochastic process with ultraslow convergence to a Gaussian: The truncated Lévy flight.

Authors:
Journal: Phys Rev Lett Date: 1994-11-28 Impact factor: 9.161

2. Steady-state distribution of generalized aggregation system with injection.

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Journal: Phys Rev Lett Date: 1989-12-04 Impact factor: 9.161

3. Scaling in aggregation with breakup simulations and mean-field theory.

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Journal: Phys Rev Lett Date: 1988-06-13 Impact factor: 9.161

4. Kinetics of coagulation with fragmentation: Scaling behavior and fluctuations.

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Journal: Phys Rev Lett Date: 1986-08-11 Impact factor: 9.161

5. Possible universality in the size distribution of fish schools.

Authors:
Journal: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Date: 1995-06

6. Analytic approach to the problem of convergence of truncated Lévy flights towards the Gaussian stochastic process.

Authors:
Journal: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Date: 1995-07

7. Rate equation and scaling for fragmentation with mass loss.

Authors:
Journal: Phys Rev A Date: 1990-05-15 Impact factor: 3.140

8. Stability and relaxation of power-law distribution.

Authors:
Journal: Phys Rev A Date: 1990-12-15 Impact factor: 3.140

9. On the advantages of flocking.

Authors: H R Pulliam
Journal: J Theor Biol Date: 1973-02 Impact factor: 2.691

Review 10. Dynamical aspects of animal grouping: swarms, schools, flocks, and herds.

Authors: A Okubo
Journal: Adv Biophys Date: 1986

19 in total

1. Collective motion and density fluctuations in bacterial colonies.

Authors: H P Zhang; Avraham Be'er; E-L Florin; Harry L Swinney
Journal: Proc Natl Acad Sci U S A Date: 2010-07-19 Impact factor: 11.205

2. Infectious disease and group size: more than just a numbers game.

Authors: Charles L Nunn; Ferenc Jordán; Collin M McCabe; Jennifer L Verdolin; Jennifer H Fewell
Journal: Philos Trans R Soc Lond B Biol Sci Date: 2015-05-26 Impact factor: 6.237

3. Network metrics reveal differences in social organization between two fission-fusion species, Grevy's zebra and onager.

Authors: Siva R Sundaresan; Ilya R Fischhoff; Jonathan Dushoff; Daniel I Rubenstein
Journal: Oecologia Date: 2006-09-09 Impact factor: 3.225

Scaling in animal group-size distributions.

1. Stochastic process with ultraslow convergence to a Gaussian: The truncated Lévy flight.

2. Steady-state distribution of generalized aggregation system with injection.

3. Scaling in aggregation with breakup simulations and mean-field theory.

4. Kinetics of coagulation with fragmentation: Scaling behavior and fluctuations.

5. Possible universality in the size distribution of fish schools.

6. Analytic approach to the problem of convergence of truncated Lévy flights towards the Gaussian stochastic process.

7. Rate equation and scaling for fragmentation with mass loss.

8. Stability and relaxation of power-law distribution.

9. On the advantages of flocking.

Review 10. Dynamical aspects of animal grouping: swarms, schools, flocks, and herds.

1. Collective motion and density fluctuations in bacterial colonies.

2. Infectious disease and group size: more than just a numbers game.

3. Network metrics reveal differences in social organization between two fission-fusion species, Grevy's zebra and onager.

4. Network frailty and the geometry of herd immunity.

5. Probabilistic analysis of a genealogical model of animal group patterns.

6. Weber's Law-based perception and the stability of animal groups.

Review 7. Numerical assessment in the wild: insights from social carnivores.

8. Fractal bird nest distribution produces scale-free colony sizes.

9. Understanding animal group-size distributions.

10. Truncated power laws reveal a link between low-level behavioral processes and grouping patterns in a colonial bird.