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

Polygenic Traits01:18

Polygenic Traits

69.0K
When more than one gene is responsible for a given phenotype, the trait is considered polygenic. Human height is a polygenic trait. Studies have uncovered hundreds of loci that influence height, and there are believed to be many more. Due to the high number of genes involved, as well as environmental and nutritional factors, height varies significantly within a given population. The distribution of height forms a bell-shaped curve, with relatively few individuals in the population at the...
69.0K
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

5.0K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
5.0K
Trait and State Self-Esteem02:08

Trait and State Self-Esteem

11.4K
The term self-esteem is often used generically, to refer to how people feel about themselves. However, according to research, there are three distinct constructs that should not be used interchangeably (Brown & Marshall, 2006). 
11.4K
What is Population Genetics?01:25

What is Population Genetics?

64.5K
A population is composed of members of the same species that simultaneously live and interact in the same area. When individuals in a population breed, they pass down their genes to their offspring. Many of these genes are polymorphic, meaning that they occur in multiple variants. Such variations of a gene are referred to as alleles. The collective set of all the alleles within a population is known as the gene pool.
64.5K
Multiple Allele Traits01:49

Multiple Allele Traits

38.0K
The Concept of Multiple Allelism
38.0K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

2.3K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
2.3K

You might also read

Related Articles

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

Sort by
Same author

Stable coevolutionary regimes for genetic parasites and their hosts: you must differ to coevolve.

Biology direct·2019
Same author

Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices.

Journal of mathematical biology·2018
Same author

Origin and Evolution of the Universal Genetic Code.

Annual review of genetics·2017
Same author

On Eigen's Quasispecies Model, Two-Valued Fitness Landscapes, and Isometry Groups Acting on Finite Metric Spaces.

Bulletin of mathematical biology·2016
Same author

Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model.

Mathematical biosciences·2015
Same author

On the behavior of the leading eigenvalue of Eigen's evolutionary matrices.

Mathematical biosciences·2014

Related Experiment Video

Updated: Jan 21, 2026

Quantifying the Heterogeneous Distribution of a Synaptic Protein in the Mouse Brain Using Immunofluorescence
09:18

Quantifying the Heterogeneous Distribution of a Synaptic Protein in the Mouse Brain Using Immunofluorescence

Published on: January 29, 2019

8.5K

How trait distributions evolve in populations with parametric heterogeneity.

Georgy P Karev1, Artem S Novozhilov2

  • 1National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD, USA.

Mathematical Biosciences
|July 28, 2019
PubMed
Summary

Understanding how trait distributions evolve in heterogeneous populations is key. Our model shows that assumptions about population characteristics like variance significantly constrain trait distribution forms, impacting ecological and epidemiological models.

Keywords:
Evolution of distributionGamma distributionHeterogeneityHeterogeneous populationsNormal distribution

More Related Videos

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.3K
Layered Alginate Constructs: A Platform for Co-culture of Heterogeneous Cell Populations
08:57

Layered Alginate Constructs: A Platform for Co-culture of Heterogeneous Cell Populations

Published on: August 7, 2016

8.3K

Related Experiment Videos

Last Updated: Jan 21, 2026

Quantifying the Heterogeneous Distribution of a Synaptic Protein in the Mouse Brain Using Immunofluorescence
09:18

Quantifying the Heterogeneous Distribution of a Synaptic Protein in the Mouse Brain Using Immunofluorescence

Published on: January 29, 2019

8.5K
Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.3K
Layered Alginate Constructs: A Platform for Co-culture of Heterogeneous Cell Populations
08:57

Layered Alginate Constructs: A Platform for Co-culture of Heterogeneous Cell Populations

Published on: August 7, 2016

8.3K

Area of Science:

  • Mathematical Biology
  • Population Dynamics
  • Quantitative Ecology

Background:

  • Trait distributions in non-uniform populations are complex.
  • Parametric heterogeneity, where individual traits are fixed but vary across individuals, is common.
  • Understanding trait evolution is crucial for ecological and epidemiological modeling.

Purpose of the Study:

  • To analyze the time evolution of trait distributions in mathematically modeled populations with parametric heterogeneity.
  • To investigate how assumptions about population characteristics (mean, variance) influence trait distribution forms.
  • To demonstrate the utility of trait distribution evolution analysis in ecological and epidemiological contexts.

Main Methods:

  • Development of a mathematical model for non-uniform populations with parametric heterogeneity.
  • Analytical derivation of results concerning trait distribution evolution.
  • In-depth analysis of variance evolution over time.
  • Application and reanalysis of models in population ecology and mathematical epidemiology.

Main Results:

  • Initial assumptions on time-dependent population characteristics (mean, variance, coefficient of variation) severely restrict possible trait distribution forms.
  • The evolution of variance provides critical insights into population dynamics.
  • Analysis of trait distribution evolution can explain complex population behaviors, such as oscillations in heterogeneous populations (e.g., gypsy moth models).

Conclusions:

  • The study provides analytical insights into trait distribution dynamics in heterogeneous populations.
  • Modelers must carefully consider the constraints imposed by assumed population characteristic evolution.
  • This approach enhances the accuracy of theoretical models and their validation against real-world data in ecology and epidemiology.