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Genetic hitchhiking in spatially extended populations.

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TLDR
When a mutation with selective advantage s spreads through a panmictic population, it may cause two lineages at a linked locus to coalesce; the probability of coalescence is exp(-2rT), where T∼log(2Ns)/s is the time to fixation, N is the number of haploid individuals, and r is the recombination rate.
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This article is published in Theoretical Population Biology.The article was published on 2013-08-01. It has received 55 citations till now. The article focuses on the topics: Population & Coalescence (physics).

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Citations
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On the accumulation of deleterious mutations during range expansions

TL;DR: In this paper, the authors investigate the effect of spatial range expansions on the evolution of fitness when beneficial and deleterious mutations cosegregate, and they find that the expansion load can persist and represent a major fraction of the total mutation load for thousands of generations after the expansion.
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On the accumulation of deleterious mutations during range expansions

TL;DR: It is found that deleterious mutations accumulate steadily on the wave front during range expansions, thus creating an expansion load that can persist and represent a major fraction of the total mutation load for thousands of generations after the expansion.
Journal ArticleDOI

Acceleration of evolutionary spread by long-range dispersal.

TL;DR: In this article, a simple iterative scaling approximation supported by simulations and rigorous bounds that accurately predicts evolutionary spread is presented, which is determined by a trade-off between frequency and potential effectiveness of long-distance jumps.
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Estimating the parameters of background selection and selective sweeps in Drosophila in the presence of gene conversion.

TL;DR: Developing models of selection at linked sites to explain the observed negative relation between the level of nearly neutral variability in Drosophila genes and their protein sequence divergence from a related species shows that selective sweeps are the main determinants of this pattern.
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The Role of Standing Variation in Geographic Convergent Adaptation.

TL;DR: This article explores how standing genetic variation contributes to convergent genetic responses in a geographically spread population, and derives the geographic scale over which an allele dominates and the proportion of adaptive alleles that arise from standing variation.
References
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Book

The theory of stochastic processes

TL;DR: This book should be of interest to undergraduate and postgraduate students of probability theory.
Book

A second course in stochastic processes

TL;DR: A First Course Algebraic methods in Markov Chains Ratio Theorems of Transition Probabilities and Applications Sums of Independent Random Variables as a Markov Chain Order Statistics, Poisson Processes, and Applications Continuous Time Markov chains Diffusion Processes Compounding Stochastic Processes Fluctuation Theory of Partial Sum of Independent Identically Distributed Random Variable Queueing Processes Miscellaneous Problems Index as discussed by the authors.
Journal ArticleDOI

The hitch-hiking effect of a favourable gene.

TL;DR: If the selective coefficients at the linked locus are small compared to those at the substituted locus, it is shown that the probability of complete fixation at the links is approximately exp (− Nc), where c is the recombinant fraction and N the population size.
Journal ArticleDOI

Genetic Consequences of Range Expansions

TL;DR: Interestingly, most of these patterns had been previously attributed to distinct selective processes, showing that taking into account the dynamic nature of a species range can lead to a paradigm shift in the authors' perception of evolutionary processes.
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How long do you have to wait between membrane sweeps?

Sweeps can also have a substantial impact on the rate of gene flow.