Evolution of cannibalistic traits: scenarios derived from adaptive dynamics

Dercole, Fabio; Rinaldi, Sergio

doi:10.1016/s0040-5809(02)00008-4

Cited by 35 publications

(32 citation statements)

References 19 publications

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“…(2a)) and α > 1, β > 1, γ > 1, δ > 1, p < 1,x,x, w 1 and w 2 are suitable positive parameters which specify the shape of the functions (2) (see Dercole and Rinaldi, 2002, for a more detailed description). In particular, the cannibalistic attack rate a ij is higher when the body size of the victim is in a suitable ratio with that of the predator, i.e.…”

Section: Ecological Modelmentioning

confidence: 99%

“…where k is proportional to the frequency and variance of small mutations,n 1 (x 1 ) is the resident population equilibrium density in the absence of mutants (see Dercole and Rinaldi, 2002, for a proof of existence and uniqueness) andf 2 (x 1 , x 2 ) is the fitness of the mutant, i.e. Geritz et al (1997Geritz et al ( , 1998 showed that a stable monomorphic equilibriumx 1 is a branching point if…”

Section: Evolutionary Modelmentioning

confidence: 99%

“…(6)). The numerical bifurcation analysis (Kuznetsov, 1998;Doedel et al, 1997;Kuznetsov and Levitin, 1997) of model (3, 4) carried out in Dercole and Rinaldi (2002) reveals that a globally stable branching pointx 1 characterizes the monomorphic dynamics of a population with wide size range living in a rich environment (i.e. for sufficiently high values of the parameters 1/β and n 0 ).…”

Section: Evolutionary Modelmentioning

confidence: 99%

“…As explained in Dercole and Rinaldi (2002), the study of dimorphic evolutionary dynamics must be limited to the coexistence region, which is the region of all pairs (x 1 , x 2 ) for which model (1, 2), for N = 2, has a stable and strictly positive equilibrium. Such a region can be Region III has been horizontally stretched for purpose of illustration.…”

Section: Evolutionary Modelmentioning

confidence: 99%

“…In this paper we present the first fully deterministic example of branching-extinction evolutionary cycle, using the model for the evolution of cannibalistic traits in consumer populations recently described in Dercole and Rinaldi (2002). We show that any monomorphic population converges to an intermediate level of cannibalism where it branches into two sub-populations.…”

Section: Introductionmentioning

confidence: 97%

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Remarks on branching-extinction evolutionary cycles

Dercole

2003

Journal of Mathematical Biology

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Section: Ecological Modelmentioning

confidence: 99%

Section: Evolutionary Modelmentioning

confidence: 99%

Section: Evolutionary Modelmentioning

confidence: 99%

Section: Evolutionary Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

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Remarks on branching-extinction evolutionary cycles

Dercole

2003

Journal of Mathematical Biology

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The coevolution of sexual imprinting by males and females

Gómez‐Llano

Navarro-López

Gilman

2016

Ecology and Evolution

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Sexual imprinting is the learning of a mate preference by direct observation of the phenotype of another member of the population. Sexual imprinting can be paternal, maternal, or oblique if individuals learn to prefer the phenotypes of their fathers, mothers, or other members of the population, respectively. Which phenotypes are learned can affect trait evolution and speciation rates. “Good genes” models of polygynous systems predict that females should evolve to imprint on their fathers, because paternal imprinting helps females to choose mates that will produce offspring that are both viable and sexy. Sexual imprinting by males has been observed in nature, but a theory for the evolution of sexual imprinting by males does not exist. We developed a good genes model to study the conditions under which sexual imprinting by males or by both sexes can evolve and to ask which sexual imprinting strategies maximize the fitness of the choosy sex. We found that when only males imprint, maternal imprinting is the most advantageous strategy. When both sexes imprint, it is most advantageous for both sexes to use paternal imprinting. Previous theory suggests that, in a given population, either males or females but not both will evolve choosiness in mating. We show how environmental change can lead to the evolution of sexual imprinting behavior by both sexes in the same population.

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Modelling coevolution in ecological networks with adaptive dynamics

Hui

Minoarivelo

Landi

2017

Math Methods in App Sciences

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MOS Classification: 92D40; 47J35; 91A22 Communicator: R. Anguelov Coevolution can impose density-dependent selection through reciprocal biotic interactions on the fitness of involved species, driving directional and disruptive trait evolution and rich evolutionary possibilities. Coevolution has since Darwin been considered a potential path leading to adaptive diversification that could explain the emergence of ecological networks of biotic interactions that harbour multiple interacting species (eg, pollination networks and food webs). Here, we present adaptive dynamics, a powerful tool of evolutionary invasion analysis that explores how quantitative traits undergo incremental evolution, to exploring the emergence of multi-species networks through coevolution. Specifically, we exemplify the feasibility of using adaptive dynamics to investigate trait evolution in 4 ecological networks, driven, respectively, by resource competition, trophic interactions, as well as bipartite mutualistic and antagonistic interactions. We use a set of ordinary differential equations to describe, at different paces, the population dynamics and trait dynamics of involved species assemblages. Through computing ecological equilibrium, invasion fitness, selection gradient and evolutionary singularity, and testing for evolutionary stability and the coexistence criterion of mutual invasibility, we illustrate the typical evolutionary dynamics and the criteria of evolutionary stability and branching in these ecological networks. Results highlight the importance of the form of trait-mediated interaction kernel (ie, interaction strength as a function of trait difference) to adaptive diversification in these coevolutionary systems. We conclude by advocating that biotic interactions between two species can indeed lead to diffuse and even escape-and-radiate coevolution, making the emerged ecological networks an ideal model for studying complex adaptive systems. KEYWORDSadaptive dynamics, complex adaptive networks, ecological networks, evolutionary branching, evolutionary invasion analysis, evolutionary stability

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Evolution of cannibalistic traits: scenarios derived from adaptive dynamics

Cited by 35 publications

References 19 publications

Remarks on branching-extinction evolutionary cycles

Remarks on branching-extinction evolutionary cycles

The coevolution of sexual imprinting by males and females

Modelling coevolution in ecological networks with adaptive dynamics

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