How should we define ‘fitness’ for general ecological scenarios?

Metz, J.A.J.; Nisbet, Roger M.; Geritz, Stefan A.H.

doi:10.1016/0169-5347(92)90073-k

Cited by 988 publications

(1,118 citation statements)

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“…Given the fecundity function F , an expression of R m is derived in A. Invasion fitness is the long-term exponential growth rate of a mutant in an environment set by the resident (Metz et al, 1992). A mutant may invade the resident, if it has positive invasion fitness.…”

Section: The Metapopulation Fitness R Mmentioning

confidence: 99%

“…Evolutionary branching is a process in which the trait of an evolving monomorphic population first approaches a so-called singular trait, but then disruptive selection causes the population to become dimorphic, i.e., to contain two different resident traits, and these two traits evolve away from each other (Metz et al, 1992(Metz et al, , 1996Geritz et al, 1997Geritz et al, , 1998. When mutations are so frequent that there is no clear separation between ecological and evolutionary timescales, evolutionary branching means that a unimodal trait distribution first concentrates around the singular strategy, and then the distribution becomes bimodal.…”

Section: Introductionmentioning

confidence: 99%

“…Invasion fitness (Metz et al, 1992) is the long-term exponential growth rate of a rare mutant in an environment set by the resident. At singular strategies the first-order derivative of the invasion fitness vanishes.…”

Section: Introductionmentioning

confidence: 99%

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The effect of fecundity derivatives on the condition of evolutionary branching in spatial models

Parvinen

Ohtsuki

Wakano

2017

Journal of Theoretical Biology

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By investigating metapopulation fitness, we present analytical expressions for the selection gradient and conditions for convergence stability and evolutionary stability in Wright's island model in terms of fecundity function. Coefficients of each derivative of fecundity function appearing in these conditions have fixed signs. This illustrates which kind of interaction promotes or inhibits evolutionary branching in spatial models. We observe that Taylor's cancellation result holds for any fecundity function: Not only singular strategies but also their convergence stability is identical to that in the corresponding well-mixed model. We show that evolutionary branching never occurs 1 when the dispersal rate is close to zero. Furthermore, for a wide class of fecundity functions (including those determined by any pairwise game), evolutionary branching is impossible for any dispersal rate if branching does not occur in the corresponding well-mixed model. Spatial structure thus often inhibits evolutionary branching, although we can construct a fecundity function for which evolutionary branching only occurs for intermediate dispersal rates.

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Section: The Metapopulation Fitness R Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The effect of fecundity derivatives on the condition of evolutionary branching in spatial models

Parvinen

Ohtsuki

Wakano

2017

Journal of Theoretical Biology

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“…The use of selection coefficients (s) to measure relative fitness was adopted since the latter can be interpreted as the difference between the long-run (logarithmic) growth rates of the invader and resident population 14 .…”

Section: Experimental Designmentioning

confidence: 99%

Experimental determination of invasive fitness in Caenorhabditis elegans

Chelo

2014

Nat Protoc

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“…In particular, environmental feedback, which is generally essential for understanding all but the most simple effects of natural selection, is not yet addressed by these earlier models. By contrast, adaptive dynamics theory (Metz et al, 1992Dieckmann and Law, 1996;Geritz et al, 1997Geritz et al, , 1998 has been devised as a general framework to analyze the phenotypic evolutionary dynamics of populations under environmental feedback. It is only very recently that adaptive dynamics theory has been extended to function-valued strategies (Dieckmann et al, 2004), and applied to maturation reaction norms (Ernande et al, 2004) and resource utilization strategies (Heino et al, 2004).…”

Section: Introductionmentioning

confidence: 99%