Asymptotic behavior of the rate of adaptation
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Publication:988762
DOI10.1214/09-AAP645zbMath1193.92079arXiv0708.3453OpenAlexW2014813092WikidataQ60500175 ScholiaQ60500175MaRDI QIDQ988762
Charles Cuthbertson, Feng Yu, Alison M. Etheridge
Publication date: 18 August 2010
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.3453
Problems related to evolution (92D15) Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Genetics and epigenetics (92D10)
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The fixation probability of two competing beneficial mutations ⋮ Probability and time to fixation of an evolving sequence ⋮ Upper bound on the rate of adaptation in an asexual population ⋮ Branching with selection and mutation. I: Mutant fitness of Fréchet type ⋮ Unnamed Item ⋮ Asexual evolution waves: fluctuations and universality ⋮ A Gaussian particle distribution for branching Brownian motion with an inhomogeneous branching rate ⋮ Muller's ratchet with compensatory mutations ⋮ The speed of evolution in large asexual populations ⋮ Traveling waves of selective sweeps
Cites Work
- Fixation probability for competing selective sweeps
- The traveling-wave approach to asexual evolution: Muller's ratchet and speed of adaptation
- The accumulation of deleterious genes in a population - Muller's Ratchet
- On the Lambert \(w\) function
- The accumulation of mutations in asexual populations and the structure of genealogical trees in the presence of selection
- How often does the ratchet click? Facts, heuristics, asymptotics
- Markov Chains
- Probability Inequalities for Sums of Bounded Random Variables
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