Patchy populations in stochastic environments: critical number of patches for persistence

The American Naturalist
Jordi BascompteJoan Roughgarden

Abstract

We introduce a model for the dynamics of a patchy population in a stochastic environment and derive a criterion for its persistence. This criterion is based on the geometric mean (GM) through time of the spatial-arithmetic mean of growth rates. For the population to persist, the GM has to be >/=1. The GM increases with the number of patches (because the sampling error is reduced) and decreases with both the variance and the spatial covariance of growth rates. We derive analytical expressions for the minimum number of patches (and the maximum harvesting rate) required for the persistence of the population. As the magnitude of environmental fluctuations increases, the number of patches required for persistence increases, and the fraction of individuals that can be harvested decreases. The novelty of our approach is that we focus on Malthusian local population dynamics with high dispersal and strong environmental variability from year to year. Unlike previous models of patchy populations that assume an infinite number of patches, we focus specifically on the effect that the number of patches has on population persistence. Our work is therefore directly relevant to patchily distributed organisms that are restricted to a small numbe...Continue Reading

References

Jun 1, 1989·Theoretical Population Biology·S Tuljapurkar
Apr 1, 1969·Proceedings of the National Academy of Sciences of the United States of America·R C Lewontin, D Cohen
Apr 1, 1969·Proceedings of the National Academy of Sciences of the United States of America·R Levins
May 9, 1998·Proceedings of the National Academy of Sciences of the United States of America·V A Jansen, J Yoshimura
Jul 8, 2000·Trends in Ecology & Evolution·J H MyersJ R Carey
Jan 1, 1955·Cold Spring Harbor Symposia on Quantitative Biology·E R DEMPSTER
Sep 1, 1995·Trends in Ecology & Evolution·J Bascompte, R V Solé
Oct 1, 1997·Trends in Ecology & Evolution·B Grenfell, J Harwood

❮ Previous
Next ❯

Citations

Mar 20, 2012·Journal of Mathematical Biology·Steven N EvansArnab Sen
Jun 25, 2013·Theoretical Population Biology·Vincent Bansaye, Amaury Lambert
Jul 19, 2005·Proceedings. Biological Sciences·Vincenzo PenterianiMiguel Ferrer
Jan 22, 2011·Conservation Biology : the Journal of the Society for Conservation Biology·Juliano Sarmento CabralFrank M Schurr
Feb 25, 2011·PloS One·Joseph D ChipperfieldThomas Hovestadt
Jul 26, 2012·Ecological Applications : a Publication of the Ecological Society of America·Malin L PinskySam J Purkis
Dec 7, 2013·Journal of Mathematical Biology·Gregory Roth, Sebastian J Schreiber
Jul 16, 2013·The American Naturalist·Paul David Williams, Alan Hastings
Feb 25, 2005·The American Naturalist·Michael A McCarthyHugh P Possingham
Mar 26, 2005·The American Naturalist·Paul R Armsworth, Joan E Roughgarden
Jun 8, 2012·The American Naturalist·Sebastian J Schreiber
Apr 5, 2012·Ecological Applications : a Publication of the Ecological Society of America·Shane A Blowes, Sean R Connolly
Jan 23, 2009·Mathematical Biosciences·Martin Drechsler
Jul 21, 2007·Journal of Theoretical Biology·Rampal S EtienneAlan J McKane
Apr 6, 2005·Evolution; International Journal of Organic Evolution·Michael J Hickerson, Clifford W Cunningham
Feb 15, 2008·Conservation Biology : the Journal of the Society for Conservation Biology·Peter W J BaxterHugh P Possingham
Oct 8, 2009·Ecology Letters·Edward T GameHugh P Possingham
Nov 25, 2004·Theoretical Population Biology·Manojit RoySimon A Levin
Jun 19, 2013·Trends in Ecology & Evolution·Terry P HughesBrian Walker
May 17, 2006·Trends in Ecology & Evolution·Terence P HughesJames Wilson
Oct 25, 2002·Proceedings. Biological Sciences·Maurice K JamesLance Bode
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satoru Morita, Jin Yoshimura
Jul 5, 2017·Journal of Mathematical Biology·Alexandru HeningGeorge Yin
Sep 30, 2020·Proceedings of the National Academy of Sciences of the United States of America·Hugo B HarrisonGeoffrey P Jones
Jan 29, 2021·PeerJ·Irene Martín-RodríguezAlfredo García-Fernández
Aug 16, 2003·Science·T P HughesJ Roughgarden

❮ 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.