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

Establishment probability in fluctuating environments: a branching process model

P Haccou1, Y Iwasa

  • 1Section Theoretical Biology, Leiden University, Leiden, 2300 RA, The Netherlands.

Theoretical Population Biology
|December 1, 1996
PubMed
Summary
This summary is machine-generated.

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

Endoscopic treatment for appendiceal intussusception due to barium stool impaction that mimics a submucosal tumor.

Techniques in coloproctology·2022
Same author

Numerical and Experimental Study to Fabricate the New Type Compact NMR Device Using Stacked HTS Bulks.

IEEE transactions on applied superconductivity : a publication of the IEEE Superconductivity Committee·2020
Same author

Mottness versus unit-cell doubling as the driver of the insulating state in 1T-TaS<sub>2</sub>.

Nature communications·2020
Same author

Radial Spin Texture in Elemental Tellurium with Chiral Crystal Structure.

Physical review letters·2020
Same author

A New High-Temperature Superconducting (HTS) 700-MHz Insert Magnet for a 1.3-GHz LTS/HTS NMR Magnet.

IEEE transactions on applied superconductivity : a publication of the IEEE Superconductivity Committee·2020
Same author

Direct observation of imploded core heating via fast electrons with super-penetration scheme.

Nature communications·2019
Same journal

Statistical test to compare the linkage model and the admixture model based on central limit results.

Theoretical population biology·2026
Same journal

Threshold dynamics in age-structured distributions with expanding support: A unified mathematical framework.

Theoretical population biology·2026
Same journal

Mechanistic-statistical model for the expansion of ash dieback.

Theoretical population biology·2026
Same journal

Dynamics of an intraguild predation system with optimal foraging and harvesting.

Theoretical population biology·2026
Same journal

Impact of co-occurrent assortative mating and vertical cultural transmission on measures of genetic associations.

Theoretical population biology·2026
Same journal

The coalescent of a sample from a linear-fractional branching process.

Theoretical population biology·2026
See all related articles

This study models invader establishment and population extinction in fluctuating environments using branching processes. Sequential invasions are more successful than simultaneous ones due to environmental stochasticity.

Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • Environmental fluctuations significantly impact species establishment and extinction.
  • Understanding population dynamics in stochastic environments is crucial for conservation and invasion biology.

Purpose of the Study:

  • To investigate the establishment probability of invasive species in fluctuating environments.
  • To analyze the extinction probability of small populations and metapopulations under environmental stochasticity.
  • To compare the success of sequential versus simultaneous invasions.

Main Methods:

  • Development and application of an inhomogeneous branching process model.
  • Simulation methods for calculating establishment probabilities.
  • Analytical approximations for expected establishment probability.

Related Experiment Videos

Main Results:

  • Establishment probability follows a stable distribution across reproduction periods.
  • Sequential invasions yield higher expected success than simultaneous invasions.
  • Environmental fluctuations influence extinction probabilities for small populations and metapopulations.

Conclusions:

  • Stochasticity in environmental conditions enhances the success of sequential invasions.
  • The branching process model provides insights into population persistence and invasion dynamics.
  • Results are generalizable to various offspring distributions beyond Poisson.