Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Persistence, extinction, and critical patch number for island populations.

L J Allen

    Journal of Mathematical Biology
    |January 1, 1987
    PubMed
    Summary

    Population persistence on one island ensures survival across the entire archipelago, even with limited islands. This study defines a critical patch number for population survival in discrete reaction-diffusion models.

    Related Concept Videos

    You might also read

    Related Articles

    Articles linked to this work by shared authors, journal, and citation graph.

    Sort by
    Same author

    Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons, Part II: Differential Holographic Tomography.

    Ultramicroscopy·2021
    Same author

    Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons.

    Ultramicroscopy·2020
    Same author

    The Standardization of Outpatient Procedure (STOP) Narcotics after anorectal surgery: a prospective non-inferiority study to reduce opioid use.

    Techniques in coloproctology·2020
    Same author

    Phonon Spectroscopy at Atomic Resolution.

    Physical review letters·2019
    Same author

    Structure Retrieval at Atomic Resolution in the Presence of Multiple Scattering of the Electron Probe.

    Physical review letters·2019
    Same author

    Large angle illumination enabling accurate structure reconstruction from thick samples in scanning transmission electron microscopy.

    Ultramicroscopy·2018

    Area of Science:

    • Mathematical Biology
    • Ecology
    • Population Dynamics

    Background:

    • Population models are crucial for understanding species survival and distribution.
    • Island or patch environments present unique challenges for population persistence due to isolation and limited resources.
    • Discrete reaction-diffusion models offer a framework to analyze population growth and spatial spread.

    Purpose of the Study:

    • To derive conditions for population persistence and extinction in multi-island environments.
    • To analyze discrete reaction-diffusion models for population dynamics across patches.
    • To define and investigate a critical patch number influencing population survival.

    Main Methods:

    • Analysis of discrete reaction-diffusion equations for population dynamics.
    • Development of mathematical conditions for population persistence and extinction.
    • Investigation of both single-species and multi-species ecological models.

    Main Results:

    • Established sufficient conditions for population persistence and extinction across multiple islands.
    • Demonstrated that population persistence on a single island guarantees persistence for the entire archipelago.
    • Defined a critical patch number below which extinction is likely for the population.

    Conclusions:

    • Population persistence is robust across connected island systems once established on a single island.
    • The critical patch number is a key metric for assessing the viability of populations in fragmented habitats.
    • The findings are applicable to both single and multi-species scenarios in ecological modeling.

    Related Experiment Videos