Exact(6)
We assume that successfully establishing mutations reach their establishment frequency fast compared to the timescale Δ T between bottlenecks, in which case establishment can be effectively modeled by a Poisson process.
This assumption is reasonable when selection is strong and the establishment frequency low.
In this case, establishment frequency will be >1/(N1 s) and establishment time will be longer than 1/(Θ s) due to the increased drift during bottlenecks.
Similarly, Caners et al. (2009) found that the most frequent species (i.e. high establishment frequency) in a boreal diaspore bank were monoicous mosses.
Note that those adaptive mutations that do reach establishment frequency typically achieve this quickly in ∼ γ/ s generations, where γ ≈ 0.577 is the Euler Mascheroni constant (Desai and Fisher 2007; Eriksson et al. 2008).
The heuristic argument invokes a number of strong simplifications, including that allele-frequency trajectories are deterministic once the adaptive allele has reached its establishment frequency, that alleles at frequencies <1/ N2 have no chance of surviving a bottleneck, and that establishment occurs instantaneously during a large population phase.
Similar(54)
This study is concerned with the establishment of the frequency equation of a combined system consisting of a simply supported beam and an in-span helical spring mass, considering the mass of the helical spring.
After establishment, its population frequency is modeled deterministically by logistic growth: x t) = 1/[1 + (N1 s)exp(− st)].
These studies have also allowed the establishment of gene frequencies in a wide range of ethnic populations and disease states (e.g. Garte et al., 2001).
Radio frequency connection establishment is triggered by sending a channel request message.
Implemented method enables direct measuring of two invasion parameters (invasion area and number of invasion dots), automated calculation of three relative variables (invasion relative area, invasion dots relative density, and invasion dot average area), and the establishment of strain specific frequency histograms.
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