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

Population Growth00:57

Population Growth

Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.However, realistic environmental conditions limit the number of...
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...
Analysis of Population Pharmacokinetic Data01:12

Analysis of Population Pharmacokinetic Data

Analysis of population pharmacokinetic data involves studying the behavior of drugs within diverse populations to understand their pharmacokinetic parameters. Traditional pharmacokinetic methods typically involve collecting samples from a few individuals and estimating these parameters. While these methods are commonly used, they have limitations in capturing the variability in drug response among individuals or heterogeneous populations. Population pharmacokinetics is employed to address these...
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)...
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.
Exponential Equations for Modeling Growth01:26

Exponential Equations for Modeling Growth

Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is the relative...

You might also read

Related Articles

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

Sort by
Same author

Evaluation of the e-Surveyor Mobile Application for Undertaking Plant Surveys and Predicting Habitat Type.

Ecology and evolution·2026
Same author

Resurrecting habitat fragmentation as a process over time.

Trends in ecology & evolution·2026
Same author

Future scenarios for British biodiversity under climate and land-use change.

Nature communications·2026
Same author

Contrasting thermophilization among forests, grasslands and alpine summits.

Nature·2026
Same author

Presence of Emerging Contaminants in UK Honey─Human Pharmaceuticals a Concern for Honeybees?

Journal of agricultural and food chemistry·2026
Same author

A comprehensive UK crop yield dataset incorporating satellite, weather, and soil type information.

Scientific data·2026
Same journal

Microsite creation increases native plant density and biomass in a semiarid grassland restoration.

Ecological applications : a publication of the Ecological Society of America·2026
Same journal

Flower-rich and diverse road verges support pollinators, but traffic speed limits the ecological benefits across Europe.

Ecological applications : a publication of the Ecological Society of America·2026
Same journal

Methods to estimate marine functional connectivity: A primer.

Ecological applications : a publication of the Ecological Society of America·2026
Same journal

Invisible invaders: A new warning flag for molecularly detected alien species (MODAS) in databases and information systems.

Ecological applications : a publication of the Ecological Society of America·2026
Same journal

Balancing conflict and coexistence: Interactions between invasive monk parakeets and native urban birds.

Ecological applications : a publication of the Ecological Society of America·2026
Same journal

Using information theory to select spatial scales for species-habitat responses with camera traps.

Ecological applications : a publication of the Ecological Society of America·2026
See all related articles

Related Experiment Video

Updated: Jul 4, 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

Managing plant population spread: prediction and analysis using a simple model.

James M Bullock1, Richard F Pywell, Sarah J Coulson-Phillips

  • 1Centre for Ecology and Hydrology, CEH Wallingford, Maclean Building, Benson Lane, Crowmarsh Gifford, Wallingford, Oxfordshire OX10 8BB, United Kingdom. jmbul@ceh.ac.uk

Ecological Applications : a Publication of the Ecological Society of America
|June 10, 2008
PubMed
Summary
This summary is machine-generated.

Simple population spread models accurately predicted conservation outcomes for Rhinanthus minor under various management systems. Hay-cutting significantly increased spread, primarily due to enhanced dispersal, informing practical conservation strategies.

More Related Videos

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

Related Experiment Videos

Last Updated: Jul 4, 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

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

Area of Science:

  • Ecology
  • Population Dynamics
  • Conservation Biology

Background:

  • Population spread models are crucial for managing invasive species and conserving valuable flora.
  • Simple analytical models offer theoretical advantages but face skepticism regarding practical utility.

Purpose of the Study:

  • To assess the applied utility of simple population spread models in conservation.
  • To investigate the impact of different grassland management systems on the spread of Rhinanthus minor.

Main Methods:

  • Parameterized a population-spread model using field data on demography and dispersal.
  • Measured spread rates of introduced R. minor populations over eight years across four management systems (GR, H1, H2, HG).
  • Utilized decomposition approaches to analyze causes of differences in population spread.

Main Results:

  • Modeled and measured spread rates showed high similarity, with HG > H2, H1 > GR.
  • Hay-cutting treatments significantly increased dispersal, contributing ~70% to spread rate differences compared to grazing-only.
  • Dispersal dynamics, particularly at the tail of the dispersal curve, were critical drivers of population spread.

Conclusions:

  • Simple population spread models, when parameterized with high-quality data, can accurately inform practical conservation management.
  • Management strategies significantly impact both dispersal and demography, with dispersal being the dominant factor in spread rate differences.
  • The study demonstrates the predictive power of simple models for evaluating conservation interventions.