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

Inclusive Fitness00:57

Inclusive Fitness

Most altruistic behavior—in which one animal helps another at a cost to themselves—occurs between relatives. Scientists think these altruistic behaviors evolved because they increase the inclusive fitness of the animal providing help.
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
Types of Selection01:46

Types of Selection

Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
Frequency-dependent Selection01:21

Frequency-dependent Selection

When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures from...
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...

You might also read

Related Articles

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

Sort by
Same author

Evolutionary branching in multi-level selection models.

Journal of mathematical biology·2024
Same author

Fission as a source of variation for group selection.

Evolution; international journal of organic evolution·2024
Same author

On the evolutionary emergence of predation.

Journal of theoretical biology·2023
Same author

Conceptual and empirical bridges between micro- and macroevolution.

Nature ecology & evolution·2023
Same author

Adaptive diversification and niche packing on rugged fitness landscapes.

Journal of theoretical biology·2023
Same author

Maximal ecological diversity exceeds evolutionary diversity in model ecosystems.

Ecology letters·2023
Same journal

An integrative model of FGF2-induced signaling and muscle cell proliferation.

Journal of theoretical biology·2026
Same journal

A Hybrid Reaction-Diffusion and Mechanical Stimulus Model for Mandibular Bone Remodeling under Chewing and Vibratory Loading.

Journal of theoretical biology·2026
Same journal

Integrated tick management strategies in fragmented peridomestic environments.

Journal of theoretical biology·2026
Same journal

Joint likelihood-free inference of the number of selected single nucleotide polymorphisms and their selection coefficients in an evolving population.

Journal of theoretical biology·2026
Same journal

Misspecification of the generation time distribution and its impact on R<sub>t</sub> estimates in structured populations.

Journal of theoretical biology·2026
Same journal

Stability-driven assembly meets Prigoginian informational dissipation. A mean-field ODE comment of entropy reduction and emergent proto-self.

Journal of theoretical biology·2026
See all related articles

Related Experiment Video

Updated: May 30, 2026

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

Hamilton's rule in multi-level selection models.

Burton Simon1, Jeffrey A Fletcher, Michael Doebeli

  • 1Department of Mathematical and Statistical Sciences, University of Colorado Denver, 1250 Fourteenth Street, Denver, CO 80202, United States.

Journal of Theoretical Biology
|August 9, 2011
PubMed
Summary
This summary is machine-generated.

Hamilton's rule for social evolution fails in realistic scenarios. Modified rules predict short-term change but not long-term dynamics, highlighting the need for more complex models in evolutionary biology.

More Related Videos

Lexical Decision Task for Studying Written Word Recognition in Adults with and without Dementia or Mild Cognitive Impairment
06:48

Lexical Decision Task for Studying Written Word Recognition in Adults with and without Dementia or Mild Cognitive Impairment

Published on: June 25, 2019

Related Experiment Videos

Last Updated: May 30, 2026

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

Lexical Decision Task for Studying Written Word Recognition in Adults with and without Dementia or Mild Cognitive Impairment
06:48

Lexical Decision Task for Studying Written Word Recognition in Adults with and without Dementia or Mild Cognitive Impairment

Published on: June 25, 2019

Area of Science:

  • Evolutionary Biology
  • Theoretical Ecology
  • Behavioral Ecology

Background:

  • Hamilton's rule is a foundational concept for understanding the evolution of social behavior.
  • However, its application is limited by restrictive assumptions that do not reflect real-world complexities.

Purpose of the Study:

  • To investigate the predictive power of Hamilton's rule in more realistic models of social evolution.
  • To develop modified inequalities that accurately predict evolutionary trajectories.
  • To explore the long-term dynamics of cooperation and defection.

Main Methods:

  • Development of a two-level selection model incorporating birth-death processes at individual and group levels.
  • Modeling populations of groups with varying sizes and compositions of cooperators and defectors.
  • Derivation of Hamilton-like inequalities and analysis of a partial differential equation governing assortment dynamics.

Main Results:

  • Traditional Hamilton's rule often fails to predict the direction of selection in realistic models.
  • Derived Hamilton-like inequalities accurately predict short-term evolutionary changes.
  • Long-term evolutionary dynamics are not reliably predicted by these inequalities due to complex assortment changes.

Conclusions:

  • Hamilton's rule requires modification for accurate short-term predictions in complex social evolution scenarios.
  • Long-term evolutionary outcomes, including role reversals between cooperators and defectors, are not captured by Hamilton's rule.
  • Relaxing assumptions like constant group sizes is crucial for understanding evolutionary dynamics, as demographic effects significantly influence outcomes.