Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree

By S. Geritz, É. Kisdi, G. Meszéna, J. Metz. Evolutionary Ecology, 2004

1,760 citations recorded by the source corpus.

Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/e881da0b3dc365f4fa796faa0e36e1838114c3ec

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Citations in the corpus

A strategic taxonomy of biological communication (2005, neutral): “Developments in evolutionary modelling beyond the scope of this paper (see e.g. Eshel 1996; Geritz et al. 1998; Houston & McNamara 1999) have increased and modified our understanding of evolutionary stability.”
Multidimensional convergence stability (2009, background): “The single-trait convergence stability criterion (Eshel and Motro, 1981; Eshel, 1983; Taylor, 1989; Christiansen, 1991; Metz et al., 1996; Eshel et al., 1997; Geritz et al., 1998) has a rather natural fitness-based generalization to situations with several traits.”
A beginners guide to adaptive dynamics (2002, background): “The main achievement of Adaptive Dynamics so far is the classification of singular points for one-dimensional traits, illuminating the CSS property and the possibility of branching [44, 45, 68].”
On selection dynamics for continuous structured populations (2008, background): “The limit should logically be an evolutionarily stable strategy or ESS of the selection process s[f], according to the theory of adaptive dynamics (we refer the reader to [ 13 ], [15], [9], [8], and to the comprehensive introduction [5] for more on the rich subject of adaptive dynamics).”
When to use public information for breeding habitat selection? The role of environmental predictability and density dependence (2003, methodology): “We tested both the ability of our strategies to resist invasion by rare mutant strategies when adopted by a resident population (evolutionarily stable strategies, Maynard Smith 1982), and their ability to invade a population when rare (Eshel 1983; Nowak 1990; Metz et al. 1996; Geritz et al. 1998).”
Evolutionary Change and Darwinian Demons (2002, methodology): “The modelling framework I will use is that of mutationlimited adaptive dynamics in large populations (Metz et al., 1996; Geritz et al., 1998), where a succession of mutations either fail to invade or go to fixation, or possibly produce additional polymorphism.”
When does evolution optimize (2008, neutral): “, only the subset of attracting ESS’s, customarily called CSS’s, is relevant for making predictions (cf. Eshel, 1983, 1996; Taylor, 1989; Geritz et al., 1998).”
Concentration in Lotka-Volterra Parabolic or Integral Equations: A General Convergence Result (2009, methodology): “The mathematical modeling in accordance with Darwin’s theory consists of two effects: natural selection and mutations between the traits (see [18, 24, 27, 25] for literature in adaptive evolution).”
Emergence and maintenance of biodiversity in an evolutionary food-web model (2011, background): “The model incorporates gradual evolution (Dieckmann and Law 1996), evolutionary branching (Geritz et al. 1998), and trophic interactions that depend on relative, rather than absolute, differences in body size.”
Ecological versus Sexual Selection Models of Sympatric Speciation: A Synthesis (2002, methodology): “(6) Using conditions (5) and (6), the local evolutionary dynamics around any resident strategy ŷ can be classified (Geritz et al., 1998).”
Long-term Buildup of Reproductive Isolation Promoted by Disruptive Selection: How Far Does it Go? (2002, methodology): “…and Bengtsson, 1982), resourceexploitation intensity, susceptibility to predation and intraspecific contests (Abrams et al., 1993), multiple niches (Geritz et al., 1998), asymmetric competition (Kisdi, 1999), seed size (Geritz et al., 1999), mutualism and prey-predator interactions (Doebeli and…”
Chesson's coexistence theory (2018, methodology): “…Vol. 88, No. 3 R E V IE W S evolutionary biology, the general definition for the fitness of a species i is its long-term average growth rate, ri (Metz et al. 1992); or, in case ri is evaluated with species i in its invasion state, it corresponds to species i’s invasion fitness (Geritz et al. 1998).”