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

Asymptotically exact analysis of stochastic metapopulation dynamics with explicit spatial structure.

Otso Ovaskainen1, Stephen J Cornell

  • 1Metapopulation Research Group, Department of Biological and Environmental Sciences, P.O. Box 65, Viikinkaari 1, FIN-00014 University of Helsinki, Finland. otso.ovaskainen@helsinki.fi

Theoretical Population Biology
|October 26, 2005
PubMed
Summary

This study introduces an exact mathematical method for analyzing spatially structured Markov processes. Spatial structure can alter metapopulation dynamics, while stochasticity consistently reduces patch occupancy.

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

A root-soil association index reveals life-history strategies of arbuscular mycorrhizal fungi.

The New phytologist·2026
Same author

Scalable and robust regression models for continuous proportional data.

Journal of the American Statistical Association·2026
Same author

Fish and Zooplankton Co-Responses to Environmental Gradients Under Different Climate Change Scenarios.

Global change biology·2026
Same author

A digital twin for real-time biodiversity forecasting with citizen science data.

Nature ecology & evolution·2026
Same author

How do Empirical Metacommunity Ecologists (not) Define Local Communities and How Could These be Better Defined?

Ecology letters·2025
Same author

Climate Change, Fisheries Management, and Increases in Demersal Fish Distribution in a Southern Ocean Biodiversity Hotspot.

Global change biology·2025

Area of Science:

  • Ecology
  • Mathematical Biology
  • Statistical Physics

Background:

  • Mean-field theory provides a baseline for understanding population dynamics but neglects spatial structure.
  • Stochasticity introduces randomness into ecological processes, affecting population persistence.
  • Metapopulation models are crucial for studying species persistence in fragmented landscapes.

Purpose of the Study:

  • To develop a mathematically exact method for analyzing spatially structured Markov processes.
  • To investigate deviations from mean-field predictions in spatial metapopulation models.
  • To quantify the impact of spatial structure and stochasticity on patch occupancy.

Main Methods:

  • A perturbation expansion method is employed, building upon deterministic mean-field theory.

Related Experiment Videos

  • The theory of distributions is used to incorporate spatial aspects.
  • Stochastic differential equations model the inherent randomness of the processes.

    • Main Results:

    • An analytical expression for equilibrium patch occupancy is derived, showing dependence on landscape structure and dispersal.
    • Spatial structure can either increase or decrease patch occupancy compared to non-spatial models.
    • Stochasticity was found to consistently decrease patch occupancy.

    Conclusions:

    • The developed method provides an accurate analytical framework for spatially structured ecological models.
    • Spatial arrangement and random fluctuations significantly influence metapopulation dynamics.
    • The findings offer insights into factors governing species persistence in fragmented environments.