• Publications
  • Influence
The phylogenetic regression.
  • A. Grafen
  • Mathematics, Medicine
  • Philosophical transactions of the Royal Society…
  • 21 December 1989
TLDR
One conclusion is that the dates of splits between taxa, even supplemented by rates of neutral gene evolution, do not provide the ‘ true ’ covariance structure, and a pragmatic approach is adopted. Expand
Biological signals as handicaps.
  • A. Grafen
  • Biology, Medicine
  • Journal of theoretical biology
  • 21 June 1990
TLDR
It is proved under fairly general conditions that if the handicap principle's conditions are met, then an evolutionarily stable signalling equilibrium exists in a biological signalling system, and that any signalling equilibrium satisfies the conditions of the handicAP principle. Expand
Sexual selection unhandicapped by the Fisher process.
  • A. Grafen
  • Biology, Medicine
  • Journal of theoretical biology
  • 21 June 1990
A population genetic model of sexual selection is constructed in which, at equilibrium, males signal their quality by developing costly ornaments, and females pay costs to use the ornaments in mateExpand
A geometric view of relatedness
Optimization of inclusive fitness.
  • A. Grafen
  • Mathematics, Medicine
  • Journal of theoretical biology
  • 7 February 2006
TLDR
The first fully explicit argument is given that broadly supports a widespread belief among whole-organism biologists that natural selection tends to lead to organisms acting as if maximizing their inclusive fitness, and is incorporated into the formal Darwinism project. Expand
Capturing the superorganism: a formal theory of group adaptation
TLDR
This work provides the first formal theory of group adaptation and captures the superorganism in the form of a ‘group as maximizing agent’ analogy that links an optimization program to a model of a group‐structured population. Expand
The hawk-dove game played between relatives
  • A. Grafen
  • Psychology
  • Animal Behaviour
  • 1 August 1979
Abstract Maynard Smith (1978) has raised the problem of the hawk-dove game played between relatives. Here, the evolutionarily stable state of the population is found as a function of the averageExpand
Colony‐level sex ratio selection in the eusocial Hymenoptera
TLDR
An inclusive fitness model on worker‐controlled sex investments in eusocial Hymenoptera is presented which expands the existing theory for random mating populations as formulated by Trivers and Hare (1976) and Benford (1978) and gives further quantitative predictions of the optimal sex ratio of relatedness‐asymmetry classes. Expand
A model of mate guarding
TLDR
A mathematical model confirms that precopula will evolve when mating is restricted in time, and specifies the evolutionary stable duration of precipula. Expand
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