Thermal games: Frequency-dependent models of thermal adaptation

William A. Mitchell, Michael Angilletta

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Most models of thermal adaptation ignore biotic interactions, and those that do consider biotic interactions assume that competitors or predators cannot respond to adaptation by the focal species. Nevertheless, real biotic interactions involve responsive entities, which can be more accurately modelled using evolutionary game theory. We present a two-part analysis of a thermal game between prey and predators. First, we model a game in which prey choose patches on the basis of operative temperature and predation risk, whereas predators choose patches on the basis of prey density. Second, we consider how this thermal game influences the evolution of the prey's thermal physiology. The solution of the thermal game is an evolutionarily stable Nash equilibrium in which prey divide their time equally among a range of thermal patches while predators bias their hunting efforts toward warmer patches, even though they derive no thermoregulatory benefit from doing so. Furthermore, the optimal range of temperatures selected by prey and predators increases as the lethality of predators increases. This thermal game potentially influences the evolution of the prey's thermal physiology. When predators are less lethal, prey should thermoregulate over a narrower range of temperatures, resulting in selection for thermal specialization of physiological performance. But when predators are very lethal, prey should thermoregulate over a broad range of temperatures; in this case, prey pay no fitness cost for being thermal generalists. Evolutionary game theory provides a powerful tool for generating hypotheses about the effects of biotic interactions on evolution in heterogeneous environments.

Original languageEnglish (US)
Pages (from-to)510-520
Number of pages11
JournalFunctional Ecology
Volume23
Issue number3
DOIs
StatePublished - Jun 2009
Externally publishedYes

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predator
heat
predators
game theory
evolutionary theory
physiology
temperature
predation risk
thermal analysis
generalist
hunting
fitness
predation
cost

Keywords

  • Game theory
  • Nash equilibrium
  • Performance breadth
  • Temperature
  • Thermal optimum
  • Thermal performance curve
  • Thermoregulation

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

Cite this

Thermal games : Frequency-dependent models of thermal adaptation. / Mitchell, William A.; Angilletta, Michael.

In: Functional Ecology, Vol. 23, No. 3, 06.2009, p. 510-520.

Research output: Contribution to journalArticle

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