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Bull Math Biol ; 80(10): 2652-2668, 2018 10.
Article in English | MEDLINE | ID: mdl-30094769

ABSTRACT

The optimal timing for initiating reproduction (i.e., the age at first reproduction) is a critical life history trait describing aspects of an individual's resource-allocation strategy. Recent theoretical and empirical work has demonstrated that this trait is also tied to mating system expression when individuals have the opportunity to reproduce via both self-fertilization and cross-fertilization. A strategy of "delayed selfing" has emerged as a "best of both worlds" arrangement where, in the absence of a mate, an individual will delay reproduction (selfing) to "wait" for a mate. Herein, we extend previously developed predictive optimization models for the timing of reproduction to a situation where organisms can allocate their resources to size-dependent and size-independent defensive strategies to counter the threat of predation. By incorporating inducible defenses into a predictive framework for analyzing life history expression and evolution, we can more accurately evaluate the role that allocation strategy plays in altering the optimal waiting time. We compare our model to previous models and empirical results highlighting that incorporation of inducible defenses into the model broadens the parameter space in which a waiting time is expected and often leads to a predicted waiting time that is longer than in the situation without inducible defenses. In particular, a waiting time is predicted to exist regardless of the strength of inbreeding depression in the population.


Subject(s)
Disorders of Sex Development/genetics , Disorders of Sex Development/physiopathology , Food Chain , Models, Biological , Reproduction/genetics , Reproduction/physiology , Animals , Biological Evolution , Crosses, Genetic , Female , Genetic Fitness , Male , Mathematical Concepts , Self-Fertilization/genetics , Self-Fertilization/physiology , Time Factors
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