Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Population Growth

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 Equations

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...

Mechanistic Models: Compartment Models in Individual and Population Analysis

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)...

Energy Budgets and Reproductive Strategies

Energy Budgets and Reproductive Strategies

Organisms must balance energy intake with the energy required for growth, maintenance, and reproduction. These trade-offs result in a variety of survivorship and reproductive strategies, including semelparity and iteroparity. Semelparous species reproduce only once in their lifetime, often investing most available resources into that single reproductive event. Iteroparous species, by contrast, reproduce multiple times over their lifetimes, typically allocating fewer resources to any single...

Growth Models with Integration: Problem Solving

Growth Models with Integration: Problem Solving

In population modeling, integration provides a systematic way to determine accumulated quantities from known rates of change. One such application arises in ecology, where the total weight of a fish population in a body of water is referred to as its biomass. When the rate of growth of this biomass is known as a function of time, calculus can be used to determine the total biomass at a future date.Growth Rate and Biomass FunctionLet the growth rate of the fish population be represented by a...

What are Populations and Communities?

What are Populations and Communities?

Populations are groups of individuals of the same species that inhabit a shared environment. Communities include multiple co-existing, interacting populations of different species. Metapopulations span multiple populations of the same species that occupy different areas. Metapopulations interact through immigration and emigration, providing genetic diversity that lends resilience to harsh environments. Population size and density can be estimated using quadrat and mark and recapture...

You might also read

Related Articles

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

Sort by

Same author

Cost-effectiveness of leveraging long-acting injectable cabotegravir to expand PrEP coverage among MSM in two contrasting North American cities.

Journal of the International AIDS Society·2026

Same author

Recognition of predator cues hinders social communication.

Biology letters·2025

Same author

Population-level impact of expanding PrEP coverage by offering long-acting injectable PrEP to MSM in three high-resource settings: a model comparison analysis.

Journal of the International AIDS Society·2023

Same author

Estimating the impact of HIV PrEP regimens containing long-acting injectable cabotegravir or daily oral tenofovir disoproxil fumarate/emtricitabine among men who have sex with men in the United States: a mathematical modelling study for HPTN 083.

Lancet regional health. Americas·2023

Same author

Estimating benefits of using on-demand oral prep by MSM: A comparative modeling study of the US and Thailand.

EClinicalMedicine·2023

Same author

Brazilian cave heritage under siege.

Science (New York, N.Y.)·2022

Search research articles

Related Experiment Video

Updated: Jun 24, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Bat population dynamics: multilevel model based on individuals' energetics.

Paula Federico¹, Dobromir T Dimitrov, Gary F McCracken

¹Department of Mathematics, The University of Tennessee, Knoxville, TN 37996-1300, USA. paula@utk.edu

Mathematical Biosciences and Engineering : MBE

|March 13, 2009

Summary

This study models temperate bat population dynamics by integrating individual physiology with population-level factors. This approach aids in understanding bat survival, extinction risks, and conservation needs.

More Related Videos

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

Published on: July 30, 2019

Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System

Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System

Published on: November 1, 2017

Related Experiment Videos

Last Updated: Jun 24, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems

Published on: July 30, 2019

Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System

Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System

Published on: November 1, 2017

Area of Science:

Ecology
Theoretical Biology
Physiology

Background:

Temperate bats face significant energetic challenges due to physiological and environmental factors.
Understanding population dynamics is crucial for bat conservation and disease ecology.

Purpose of the Study:

To develop a novel, multilevel theoretical approach integrating individual bat physiology with population dynamics.
To model population size regulation, survival, and extinction conditions for temperate bats.

Main Methods:

Developed an individual-based model for female bat growth, simulating body compartment dynamics (lipids, proteins, carbohydrates).
Utilized a structured population model based on extended McKendrick-von Foerster partial differential equations to integrate individual dynamics.
Parameterized the model for a specific bat species, adaptable for other species with similar life histories.

Main Results:

The integrated model provides insights into potential population size regulatory mechanisms.
Identified conditions influencing population survival and extinction risks in temperate bats.
Demonstrated the utility of a multilevel approach for studying bat population dynamics.

Conclusions:

This modeling framework enhances understanding of bat population dynamics, crucial for conservation.
The approach can inform management strategies and conservation efforts for bats.
Facilitates investigation into the effects of stress on bat populations and their ecological roles.