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 Concept Videos

Gene Flow02:39

Gene Flow

Gene flow is the transfer of genes among populations, resulting from either the dispersal of gametes or from the migration of individuals.
Habitat Fragmentation02:31

Habitat Fragmentation

Habitat fragmentation describes the division of a more extensive, continuous habitat into smaller, discontinuous areas. Human activities such as land conversion, as well as slower geological processes leading to changes in the physical environment, are the two leading causes of habitat fragmentation. The fragmentation process typically follows the same steps: perforation, dissection, fragmentation, shrinkage, and attrition.
Migration00:53

Migration

Migration is long-range, seasonal movement from one region or habitat to another. This common strategy, carried out by many different organisms around the world, is an adaptive response that typically corresponds to changes in an organism’s environment, like resource availability or climate. Migrations can involve huge groups of thousands of animals as well as single individuals traveling alone and can range from thousands of kilometers to just a few hundred meters.
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
Distribution and Dispersion00:54

Distribution and Dispersion

Ecology is the study of how organisms interact with their environment and with one another. An important aspect of ecology is understanding where species are found and how individuals are distributed within those areas. The geographic range of a species refers to the total area where its members are located, while dispersion describes the pattern of spacing of individuals within that range.Geographic Range and Dispersion PatternsWithin a species’ geographic range, individuals may be distributed...
Modeling with Differential Equations01:25

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...

You might also read

Related Articles

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

Sort by
Same author

Introducing a new "Preliminary Report" submission category for small-sample intervention studies: viewpoints from external experts.

Science & medicine in football·2026
Same author

Resting energy expenditure of women with and without polycystic ovary syndrome: a systematic review and meta-analysis.

medRxiv : the preprint server for health sciences·2025
Same author

The effects of lengthened-partial range of motion resistance training of the limbs on arm and thigh muscle area: A multi-site randomised trial.

Journal of sports sciences·2025
Same author

Correction: Estimating the Replicability of Sports and Exercise Science Research.

Sports medicine (Auckland, N.Z.)·2025
Same author

Does Muscle Length Influence Regional Hypertrophy? A Systematic Review and Meta-Analysis.

International journal of sports medicine·2025
Same author

Estimating the Replicability of Sports and Exercise Science Research.

Sports medicine (Auckland, N.Z.)·2025

Related Experiment Video

Updated: Jun 18, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Human dispersals: mathematical models and the archaeological record.

James Steele1

  • 1AHRC Centre for the Evolution of Cultural Diversity, Institute of Archaeology, University College London, 31-34 Gordon Square, London WC1H 0PY, United Kingdom.

Human Biology
|December 1, 2009
PubMed
Summary

This review explores human population dispersal using reaction-diffusion models. It covers factors like Allee effect, density dependence, and heterogeneity in spatial ecology.

More Related Videos

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)
12:26

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)

Published on: October 11, 2016

Related Experiment Videos

Last Updated: Jun 18, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)
12:26

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling (SAHM)

Published on: October 11, 2016

Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • Human population dispersal is a complex process studied across large scales.
  • Reaction-diffusion systems offer a framework for understanding spatial population dynamics.

Purpose of the Study:

  • To review theoretical literature on human population dispersal at large time and space scales.
  • To discuss empirical data relevant to population dispersal processes.
  • To summarize and extend foundational reaction-diffusion models.

Main Methods:

  • Review of theoretical literature on population dispersal.
  • Summary of the Fisher-KPP reaction-diffusion system.
  • Discussion of extensions including Allee effect, density dependence, and heterogeneity.
  • Review of multi-population Lotka-Volterra systems.
  • Exploration of dynamic carrying capacity models.

Main Results:

  • The Fisher-KPP model provides a basis for single-population dispersal.
  • Various factors significantly influence dispersal patterns, including Allee effects and environmental heterogeneity.
  • Multi-population models and dynamic carrying capacities offer more complex ecological insights.

Conclusions:

  • Reaction-diffusion models are versatile tools for studying population dispersal.
  • Incorporating factors like Allee effects and heterogeneity refines dispersal predictions.
  • Advanced models integrating ecological interactions are crucial for understanding complex population dynamics.