Changes in the gradient percolation transition caused by an allee effect

Michael T. Gastner, B. Oborny, Alexey B. Ryabov, Bernd Blasius

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per capita growth rate at low densities is reduced. We examine stochastic spatial models in which the reproduction rate changes across a gradient g so that the population undergoes a 2D-percolation transition. Without the Allee effect, the transition is continuous and the width w of the hull scales as in conventional (i.e., uncorrelated) gradient percolation, w∝g-0.57. However, with a strong Allee effect the transition is first order and w∝g-0.26.

Original languageEnglish
Article number128103
JournalPhysical Review Letters
Volume106
Issue number12
DOIs
Publication statusPublished - Mar 23 2011

Fingerprint

gradients

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Changes in the gradient percolation transition caused by an allee effect. / Gastner, Michael T.; Oborny, B.; Ryabov, Alexey B.; Blasius, Bernd.

In: Physical Review Letters, Vol. 106, No. 12, 128103, 23.03.2011.

Research output: Contribution to journalArticle

Gastner, Michael T. ; Oborny, B. ; Ryabov, Alexey B. ; Blasius, Bernd. / Changes in the gradient percolation transition caused by an allee effect. In: Physical Review Letters. 2011 ; Vol. 106, No. 12.
@article{daf9c178496f42348a538d6964a174db,
title = "Changes in the gradient percolation transition caused by an allee effect",
abstract = "The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per capita growth rate at low densities is reduced. We examine stochastic spatial models in which the reproduction rate changes across a gradient g so that the population undergoes a 2D-percolation transition. Without the Allee effect, the transition is continuous and the width w of the hull scales as in conventional (i.e., uncorrelated) gradient percolation, w∝g-0.57. However, with a strong Allee effect the transition is first order and w∝g-0.26.",
author = "Gastner, {Michael T.} and B. Oborny and Ryabov, {Alexey B.} and Bernd Blasius",
year = "2011",
month = "3",
day = "23",
doi = "10.1103/PhysRevLett.106.128103",
language = "English",
volume = "106",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "12",

}

TY - JOUR

T1 - Changes in the gradient percolation transition caused by an allee effect

AU - Gastner, Michael T.

AU - Oborny, B.

AU - Ryabov, Alexey B.

AU - Blasius, Bernd

PY - 2011/3/23

Y1 - 2011/3/23

N2 - The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per capita growth rate at low densities is reduced. We examine stochastic spatial models in which the reproduction rate changes across a gradient g so that the population undergoes a 2D-percolation transition. Without the Allee effect, the transition is continuous and the width w of the hull scales as in conventional (i.e., uncorrelated) gradient percolation, w∝g-0.57. However, with a strong Allee effect the transition is first order and w∝g-0.26.

AB - The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per capita growth rate at low densities is reduced. We examine stochastic spatial models in which the reproduction rate changes across a gradient g so that the population undergoes a 2D-percolation transition. Without the Allee effect, the transition is continuous and the width w of the hull scales as in conventional (i.e., uncorrelated) gradient percolation, w∝g-0.57. However, with a strong Allee effect the transition is first order and w∝g-0.26.

UR - http://www.scopus.com/inward/record.url?scp=79952917708&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952917708&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.106.128103

DO - 10.1103/PhysRevLett.106.128103

M3 - Article

VL - 106

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 12

M1 - 128103

ER -