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Hamilton's rule.

Matthijs van Veelen1, Benjamin Allen2, Moshe Hoffman3

  • 1Department of Economics and Business, University of Amsterdam, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands; Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138, USA.

Journal of Theoretical Biology
|August 30, 2016
PubMed
Summary
This summary is machine-generated.

Inclusive fitness theory, a cornerstone of evolutionary biology, has limits. This study explores these boundaries using advanced models, clarifying when Hamilton's rule accurately predicts cooperation based on cost-benefit definitions.

Keywords:
Adaptive dynamicsComparative staticsCounterfactual methodEmpirical testFisher's Fundamental Theorem of Natural SelectionHamilton's ruleInclusive fitnessRegression methodReplicator dynamics

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Area of Science:

  • Evolutionary Biology
  • Behavioral Ecology
  • Theoretical Biology

Background:

  • Inclusive fitness theory explains the evolution of social behavior.
  • Hamilton's rule is a key predictive tool within this framework.
  • The generality of inclusive fitness and Hamilton's rule remains an active area of research.

Purpose of the Study:

  • To investigate the limits and generality of inclusive fitness.
  • To determine the conditions under which Hamilton's rule accurately predicts evolutionary outcomes.
  • To explore the relationship between different definitions of costs and benefits and the applicability of Hamilton's rule.

Main Methods:

  • Utilized replicator dynamics and adaptive dynamics, incorporating population structure.
  • Examined two distinct methods for defining costs and benefits: the counterfactual method and the regression method.
  • Analyzed the relationship between Hamilton's rule, Fisher's Fundamental Theorem of Natural Selection, and cancellation effects.

Main Results:

  • Hamilton's rule accurately predicts the direction of selection when costs and benefits are defined using the regression method.
  • The counterfactual method of defining costs and benefits does not always yield correct predictions for the direction of selection.
  • Relatedness can foster cooperation even when Hamilton's rule as a quantitative prediction fails.

Conclusions:

  • The applicability of inclusive fitness and Hamilton's rule is contingent on the precise definition of costs and benefits.
  • The regression method offers a more robust framework for applying Hamilton's rule in diverse population structures.
  • Further research is needed to explore empirical testability and refine our understanding of altruism evolution.