Jump to ContentJump to Main Navigation
Social Evolution and Inclusive Fitness TheoryAn Introduction$
Users without a subscription are not able to see the full content.

James A.R. Marshall

Print publication date: 2015

Print ISBN-13: 9780691161563

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691161563.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 26 September 2021

Nonadditive Interactions and Hamilton’s Rule

Nonadditive Interactions and Hamilton’s Rule

Chapter:
(p.59) Chapter Five Nonadditive Interactions and Hamilton’s Rule
Source:
Social Evolution and Inclusive Fitness Theory
Author(s):

James A.R. Marshall

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691161563.003.0005

This chapter examines what happens in nonadditive interactions when such interactions take place between relatives, and how Hamilton's rule can be extended in two different ways to accommodate such nonadditivity. It first considers the selective pressures on nonadditive behaviors directed towards relatives by making use of the replicator dynamics to capture interactions within structured populations, so that on average, interactions within the population occur between relatives. It then describes two extensions to Hamilton's rule to deal with nonadditive interactions. One approach takes deviations from additivity and accounts for them all in a single synergistic coefficient. The other approach applies partial regression to keep a version of Hamilton's rule with only three parameters, in which costs and benefits vary according to the frequency of social individuals in a population. The chapter also explains the use of the Price equation to study nonadditive social interactions between relatives.

Keywords:   nonadditive interactions, Hamilton's rule, nonadditive behaviors, replicator dynamics, structured populations, additivity, synergistic coefficient, partial regression, Price equation

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.