2004
DOI: 10.2307/3473235
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Trade-off Geometries and Frequency-Dependent Selection

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Cited by 68 publications
(115 citation statements)
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“…The markedly nonlinear shape of the trade-off indicates that elevation of competitiveness requires high susceptibility to antibacterial agents and high membrane permeability. The geometry of the trade-off also has important evolutionary consequences (Levins, 1968;de Mazancourt and Dieckmann, 2004) and if a convex shape as in Figure 4 is found, a tendency to evolve into a generalist is favoured in the evolution of the phenotypes (Levins, 1968). Indeed, the majority of the ECOR strains are not at the extremes of stress resistance or nutritional competitiveness, so most E. coli isolates are at least part generalists, accommodating intermediate levels of stress and competitiveness.…”
Section: Discussionmentioning
confidence: 99%
“…The markedly nonlinear shape of the trade-off indicates that elevation of competitiveness requires high susceptibility to antibacterial agents and high membrane permeability. The geometry of the trade-off also has important evolutionary consequences (Levins, 1968;de Mazancourt and Dieckmann, 2004) and if a convex shape as in Figure 4 is found, a tendency to evolve into a generalist is favoured in the evolution of the phenotypes (Levins, 1968). Indeed, the majority of the ECOR strains are not at the extremes of stress resistance or nutritional competitiveness, so most E. coli isolates are at least part generalists, accommodating intermediate levels of stress and competitiveness.…”
Section: Discussionmentioning
confidence: 99%
“…Our examples are strongly inspired by the models of Wilson and Yoshimura (1994), Egas et al (2004), Parvinen and Egas (2004) and de Mazancourt and Dieckmann (2004). In this section we develop a two-habitat version of the logistic and the Ricker equation from first principles.…”
Section: Two Examplesmentioning
confidence: 99%
“…Invasion is a population dynamical process and, when evolution is studied by means of mathematical models, therefore has to be inferred from a population dynamical model. In the recent literature several studies have appeared that analyze the evolution of habitat specialization using either the Ricker equation (Wilson and Yoshimura 1994;Egas et al 2004) or the logistic equation (Parvinen and Egas 2004;de Mazancourt and Dieckmann 2004) to describe habitat-specific population growth. In these models habitat specialization is subject to a tradeoff, such that a high value in the carrying capacity or the intrinsic growth rate in one habitat is bought at the expense of a low carrying capacity or growth rate in the other habitat.…”
Section: Introductionmentioning
confidence: 99%
“…The following results therefore rely on numerical simulations. Several studies have already highlighted the importance of trade-off structure when the evolution of constrained traits is considered (Bowers & White 2002;de Mazancourt & Dieckmann 2004;Egas et al 2004). Similarly, the structure of the trade-off between maximum transmission rate b max and transmission sensitivity to climatic fluctuations c in this model, influences the stability of the evolutionary singular points of the pathogen's seasonal phenotype (see Electronic Appendix figure and text).…”
Section: The Modelmentioning
confidence: 99%