Literature DB >> 32146887

The problem with the Price equation.

Matthijs van Veelen1.   

Abstract

In this paper, I will argue that the generality of the Price equation comes at a cost, and that is that the terms in it become meaningless. There are simple linear models that can be written in a Price equation-like form, and for those the terms in them have a meaningful interpretation. There are also models for which that is not the case, and in general, when no assumptions on the shape of the fitness function are made, and all possible models are allowed for, the regression coefficients in the Price equation do not allow for a meaningful interpretation. The failure to recognize that the Price equation, although general, only has a meaningful interpretation under restrictive assumptions, has done real damage to the field of social evolution, as will be illustrated by looking at an application of the Price equation to group selection. This article is part of the theme issue 'Fifty years of the Price equation'.

Keywords:  Price equation; group selection; model specification; regression coefficients

Mesh:

Year:  2020        PMID: 32146887      PMCID: PMC7133513          DOI: 10.1098/rstb.2019.0355

Source DB:  PubMed          Journal:  Philos Trans R Soc Lond B Biol Sci        ISSN: 0962-8436            Impact factor:   6.237


  24 in total

1.  Evolution of cooperation by multilevel selection.

Authors:  Arne Traulsen; Martin A Nowak
Journal:  Proc Natl Acad Sci U S A       Date:  2006-07-07       Impact factor: 11.205

Review 2.  Rethinking the theoretical foundation of sociobiology.

Authors:  David Sloan Wilson; Edward O Wilson
Journal:  Q Rev Biol       Date:  2007-12       Impact factor: 4.875

3.  Group selection, kin selection, altruism and cooperation: when inclusive fitness is right and when it can be wrong.

Authors:  Matthijs van Veelen
Journal:  J Theor Biol       Date:  2009-05-03       Impact factor: 2.691

4.  The genetical theory of kin selection.

Authors:  A Gardner; S A West; G Wild
Journal:  J Evol Biol       Date:  2011-03-04       Impact factor: 2.411

Review 5.  Review: Game theory of public goods in one-shot social dilemmas without assortment.

Authors:  Marco Archetti; István Scheuring
Journal:  J Theor Biol       Date:  2011-06-24       Impact factor: 2.691

6.  A simple model of group selection that cannot be analyzed with inclusive fitness.

Authors:  Matthijs van Veelen; Shishi Luo; Burton Simon
Journal:  J Theor Biol       Date:  2014-07-14       Impact factor: 2.691

7.  Evolution of optimal Hill coefficients in nonlinear public goods games.

Authors:  Marco Archetti; István Scheuring
Journal:  J Theor Biol       Date:  2016-06-23       Impact factor: 2.691

8.  Extension of covariance selection mathematics.

Authors:  G R Price
Journal:  Ann Hum Genet       Date:  1972-04       Impact factor: 1.670

9.  The genetical evolution of social behaviour. II.

Authors:  W D Hamilton
Journal:  J Theor Biol       Date:  1964-07       Impact factor: 2.691

10.  Can Hamilton's rule be violated?

Authors:  Matthijs van Veelen
Journal:  Elife       Date:  2018-10-15       Impact factor: 8.140

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  2 in total

1.  Fifty years of the Price equation.

Authors:  Jussi Lehtonen; Samir Okasha; Heikki Helanterä
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2020-03-09       Impact factor: 6.237

2.  The cancellation effect at the group level.

Authors:  Aslıhan Akdeniz; Matthijs van Veelen
Journal:  Evolution       Date:  2020-05-21       Impact factor: 3.694

  2 in total

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