A model for conditional male trimorphisms

J. Mark Rowland, Clifford R. Qualls, Bruno A. Buzatto

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    Conditional dimorphisms are widespread in color, morphology, behavior, and life history. Such traits have been successfully modeled in game theory as conditional strategies, and in quantitative genetics as threshold traits. Conditional trimorphisms have recently been unveiled, and here we combine the rock-paper-scissors (RPS) model of game theory and the environmental threshold (ET) model of quantitative genetics to model trimorphisms that are environmentally induced and result from the expression of two thresholds. We investigated the tactic fitness structure for maintenance of alternative reproductive tactics in scarab dung beetles that constitute the first known examples of conditional male trimorphism. We parameterized a novel ternary fitness landscape that explains how conditional male trimorphism in these beetles can be maintained. We tracked changes in tactic frequencies in a wild population of Phanaeus triangularis and detected fitness intransitivity consistent with RPS dynamics. Quantitative predictions of our model compare favorably with corresponding observed parameters. The ternary landscape further reveals how geographic populations of these beetles can evolve between conditional trimorphism and dimorphism. The ternary model also suggests that polyphenic systems could potentially evolve between conditional and purely genetic mediation. 

    Original languageEnglish
    Pages (from-to)184-192
    Number of pages9
    JournalJournal of Theoretical Biology
    Volume419
    DOIs
    Publication statusPublished - 21 Apr 2017

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    Beetles
    Game Theory
    game theory
    Game theory
    quantitative genetics
    Ternary
    dimorphism
    Genetic Models
    Population
    rocks
    Rocks
    Coleoptera
    Fitness
    Color
    Maintenance
    dung beetles
    Model
    Threshold Model
    Fitness Landscape
    Mediation

    Cite this

    Mark Rowland, J. ; Qualls, Clifford R. ; Buzatto, Bruno A. / A model for conditional male trimorphisms. In: Journal of Theoretical Biology. 2017 ; Vol. 419. pp. 184-192.
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    A model for conditional male trimorphisms. / Mark Rowland, J.; Qualls, Clifford R.; Buzatto, Bruno A.

    In: Journal of Theoretical Biology, Vol. 419, 21.04.2017, p. 184-192.

    Research output: Contribution to journalArticle

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