The Evolutionary Dynamics of Aposematism: a Numerical Analysis of Co-Evolution in Finite Populations

Teichmann, Jan; Broom, Mark; Alonso, Eduardo

doi:10.1051/mmnp/20149310

Cited by 3 publications

(3 citation statements)

References 39 publications

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“…2008 ; Teichmann et al. 2014 ) have been successful in generating better understanding of its underlying implications. Operating within the framework of Broom et al.…”

Section: Introduction: An Overview Of Aposematic Signallingmentioning

confidence: 99%

Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species

Scaramangas

Broom

2022

J. Math. Biol.

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Aposematism is the signalling of a defence for the deterrence of predators. We presently focus on aposematic organisms that exhibit chemical defences, which are usually signalled by some type of brightly coloured skin pigmentation (as is the case with poison frog species of the Dendrobatidae family), although our treatment is likely transferable to other forms of secondary defence. This setup is not only a natural one to consider but also opens up the possibility for rich mathematical modelling: the strength of aposematic traits (signalling and defence) can be unambiguously realised using variables that are continuously quantifiable, independent from one another and which together define a two-dimensional strategy space wherein the aposematic behaviour of any one organism can be represented by a single point. We presently develop an extensive mathematical model in which we explore the joint co-evolution of aposematic traits within the context of evolutionary stability. Even though empirical and model-based studies are conflicting regarding how aposematic traits are related to one another in nature, the majority of works allude to a positive correlation. We presently suggest that both positively and negatively correlated combinations of traits can achieve evolutionarily stable outcomes and further, that for a given level of signal strength there can be more than one optimal level of defence. Our findings are novel and pertinent to a sizeable body of physical evidence, which we discuss.

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“…2008 ; Teichmann et al. 2014 ) have been successful in generating better understanding of its underlying implications. Operating within the framework of Broom et al.…”

Section: Introduction: An Overview Of Aposematic Signallingmentioning

confidence: 99%

Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species

Scaramangas

Broom

2022

J. Math. Biol.

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“…The papers by Broom et al [3] and Teichmann et al [17] address the problems of optimality in shaping animal behavioral and signalling strategies using the mathematical framework of game theory. M. Broom and co-authors model kleptoparasitism (food stealing) in animals competing for a vital resource, which is a well known phenomenon in nature [10].…”

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confidence: 99%

“…Teichmann et al [17] model the evolution of secondary anti-predator defense. This type of defense is a widespread in nature and often consists in producing toxins along conspicuous warning signals (known as aposematism).…”

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confidence: 99%

Modelling Biological Evolution: Introduction to the Special Issue

Морозов

2014

Math. Model. Nat. Phenom.

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The crucial role of theoretical approaches in studying evolutionary processes in biosystems is now well recognized. Indeed, even Charles Darwin, although himself not being a mathematician, derived his revolutionary ideas using theoretical methodology [4]. Combining mathematical modelling with empirical studies can provide a good understanding of the underlying biosystem which is unobtainable by means of laboratory experiments and field observations alone (for few recent examples see references in [14]). On the other hand, the number of publications in literature on modelling biological evolution is tremendously large and is constantly growing each year: it is rather hard to deal with such an immense flux of information.The main aim of the current Special Issue is to provide a useful guide to important recent findings and developments in few key areas of the modelling of biological evolution. This Special Issue addresses the following topics in particular: (i) the origin of genetic diversity in populations and communities; (ii) dynamics of replicator equations; (iii) evolution of biological macromolecules; (iv) evolutionary population ecology and (v) evolution and adaptation of animal behaviour and strategies. It is important to emphasize that the individual contributions to the Issue are not limited to one of the mentioned areas but rather combine several of them, so it may be hard to assign a particular paper to a single topic. Finally, most of the studies presented here are actually papers from the international conference "Modelling Biological Evolution" (MBE 2013), which was hold in Leicester, UK in May 2013. This conference brought together a number of mathematicians and empiricists with the key objective of creating stimulating discussions and productive debates between them.Understanding the mechanisms of genetic diversity (both within a single population and in ecological communities) has been the central topic in modelling biological evolution since the revolutionary work of Charles Darwin on the origin of species. In their study, Bessonov et al.[1] revisit the famous evolutionary diagram suggested by Darwin showing patterns of species creation [4]. Bessonov et al. provide a novel mathematical interpretation of this diagram and show how it can be reproduced using a set of generic mathematical models of reaction-diffusion type. The authors argue that to correctly reproduce Darwin's diagram, one needs to take into account local, nonlocal and global competition of interacting species in the hypothetic space of the phenotype. They also argue that the coefficients describing interaction of species in this space should be not constant but phenotype-dependent as well as time-dependent.

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