Our understanding of aposematism (the conspicuous signalling of a defence for the deterrence of predators) has advanced notably since its first observation in the late nineteenth century. Indeed, it extends the scope of a well-established game-theoretical model of this very same process both from the analytical standpoint (by considering regimes of varying background mortality and colony size) and from the practical standpoint (by assessing its efficacy and limitations in predicting the evolution of prey traits in finite simulated populations). The nature of the manuscript at hand is more mathematical and its aim is two-fold: first, to determine the relationship between evolutionarily stable levels of defence and signal strength under various regimes of background mortality and colony size. Second, to compare these predictions with simulations of finite prey populations that are subject to random local mutation. We compare the roles of absolute resident fitness, mutant fitness and stochasticity in the evolution of prey traits and discuss the importance of population size in the above.

自 19 世纪末首次观察以来，我们对警戒主义（防御掠食者的明显信号）的理解有了显着的进步。事实上，它从分析的角度（通过考虑不同背景死亡率和菌落大小的制度）和从实践的角度（通过评估其有效性和局限性）扩展了这一相同过程的完善博弈论模型的范围。预测有限模拟种群中猎物特征的进化）。手头的手稿的性质更加数学化，其目的有两个：首先，确定在各种背景死亡率和菌落大小的情况下，进化稳定的防御水平和信号强度之间的关系。其次，将这些预测与受随机局部突变影响的有限猎物种群的模拟进行比较。我们比较了绝对居民适应度、突变体适应度和随机性在猎物性状进化中的作用，并讨论了种群规模的重要性。