Allee effects, invasion pinning, and species' borders

The American Naturalist
T H KeittRobert D Holt

Abstract

All species' ranges are the result of successful past invasions. Thus, models of species' invasions and their failure can provide insight into the formation of a species' geographic range. Here, we study the properties of invasion models when a species cannot persist below a critical population density known as an "Allee threshold." In both spatially continuous reaction-diffusion models and spatially discrete coupled ordinary-differential-equation models, the Allee effect can cause an invasion to fail. In patchy landscapes (with dynamics described by the spatially discrete model), range limits caused by propagation failure (pinning) are stable over a wide range of parameters, whereas, in an uninterrupted habitat (with dynamics described by a spatially continuous model), the zero velocity solution is structurally unstable and thus unlikely to persist in nature. We derive conditions under which invasion waves are pinned in the discrete space model and discuss their implications for spatially complex dynamics, including critical phenomena, in ecological landscapes. Our results suggest caution when interpreting abrupt range limits as stemming either from competition between species or a hard environmental limit that cannot be cross...Continue Reading

References

Dec 1, 1991·Mathematical Biosciences·D Mollison
Sep 11, 1999·Trends in Ecology & Evolution·P A Stephens, W J Sutherland
Sep 11, 1999·Trends in Ecology & Evolution·F CourchampB Grenfell
May 4, 2000·Theoretical Population Biology·K McCannW Wilson
May 11, 2000·The American Naturalist·Brian Gaylord, Steven D Gaines
Sep 25, 2008·The American Naturalist·M E Hochberg, M Baalen
Sep 25, 2008·The American Naturalist·M J Groom
Sep 25, 2008·The American Naturalist·P Amarasekare
Sep 25, 2008·The American Naturalist·L Avilés, P Tufiño

❮ Previous
Next ❯

Citations

Mar 8, 2006·Journal of Mathematical Biology·Junping Shi, Ratnasingham Shivaji
Aug 4, 2010·Journal of Mathematical Biology·Yun Kang, Nicolas Lanchier
Dec 13, 2005·Oecologia·Stefanie L Whitmire, Patrick C Tobin
Mar 5, 2008·Bulletin of Mathematical Biology·A B Potapov, M A Lewis
Aug 13, 2008·Bulletin of Mathematical Biology·Min SuZizhen Li
Oct 6, 2011·Bulletin of Mathematical Biology·Jimmy GarnierFrançois Hamel
Jan 12, 2012·Bulletin of Mathematical Biology·Kohkichi KawasakiNanako Shigesada
Apr 12, 2005·Bulletin of Mathematical Biology·Sergei PetrovskiiBai-Lian Li
Nov 25, 2003·Theoretical Population Biology·Michael Doebeli, Timothy Killingback
Jan 3, 2006·Proceedings of the National Academy of Sciences of the United States of America·Matías ArimPablo A Marquet
Nov 12, 2009·Proceedings of the National Academy of Sciences of the United States of America·Robert D Holt
May 23, 2012·Proceedings of the National Academy of Sciences of the United States of America·Lionel RoquesEtienne K Klein
Mar 28, 2009·Proceedings. Biological Sciences·Kevin J Gaston
Mar 28, 2009·Proceedings. Biological Sciences·Robert D Holt, Michael Barfield
Mar 28, 2009·Proceedings. Biological Sciences·G J McInernyT G Benton
Mar 28, 2009·Proceedings. Biological Sciences·B J AndersonB W Brook
Nov 4, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Ludovic Mailleret, Valérie Lemesle
Nov 10, 2013·PloS One·Ferenc MolnárGyorgy Korniss
Jan 27, 2011·Ecological Applications : a Publication of the Ecological Society of America·Daniel FinkSteve Kelling
Jul 30, 2014·Journal of Theoretical Biology·Leithen K M'Gonigle, Philip B Greenspoon
Sep 20, 2007·Annual Review of Entomology·Andrew M Liebhold, Patrick C Tobin
Oct 2, 2015·Global Change Biology·Angela Chuang, Christopher R Peterson
Oct 14, 2011·The American Naturalist·Robert D Holt, Michael Barfield
Oct 14, 2011·The American Naturalist·David A MoellerPeter Tiffin
Jul 28, 2004·The American Naturalist·Robert D Holt
Oct 28, 2011·The American Naturalist·Megan J DonahuePatricia Arriola
Feb 19, 2004·The American Naturalist·Robert D HoltMichael Barfield
Aug 11, 2011·The American Naturalist·N H Barton, Michael Turelli
Apr 22, 2011·The American Naturalist·Tom E X MillerMichael G Neubert
May 21, 2011·The American Naturalist·Vasilis DakosMarten Scheffer
Sep 18, 2007·The American Naturalist·Emma E Goldberg, Russell Lande
Feb 14, 2006·The American Naturalist·J AntonovicsT J Newman
Jan 24, 2016·Theoretical Population Biology·Diána Knipl, Gergely Röst
Jan 24, 2016·Journal of Theoretical Biology·Lotte SewaltSanjeeva Balasuriya
Sep 23, 2009·Ecological Applications : a Publication of the Ecological Society of America·Timothy H Keitt

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Journal of Mathematical Biology
Mei-Hui WangMichael G Neubert
Trends in Ecology & Evolution
Franck CourchampB Grenfell
Risk Analysis : an Official Publication of the Society for Risk Analysis
J M Drake
© 2022 Meta ULC. All rights reserved