@article{9387,
  abstract     = {We report the complete analysis of a deterministic model of deleterious mutations and negative selection against them at two haploid loci without recombination. As long as mutation is a weaker force than selection, mutant alleles remain rare at the only stable equilibrium, and otherwise, a variety of dynamics are possible. If the mutation-free genotype is absent, generally the only stable equilibrium is the one that corresponds to fixation of the mutant allele at the locus where it is less deleterious. This result suggests that fixation of a deleterious allele that follows a click of the Muller’s ratchet is governed by natural selection, instead of random drift.},
  author       = {Khudiakova, Kseniia and Neretina, Tatiana Yu. and Kondrashov, Alexey S.},
  issn         = {0022-5193},
  journal      = {Journal of Theoretical Biology},
  keywords     = {General Biochemistry, Genetics and Molecular Biology, Modelling and Simulation, Statistics and Probability, General Immunology and Microbiology, Applied Mathematics, General Agricultural and Biological Sciences, General Medicine},
  publisher    = {Elsevier },
  title        = {{Two linked loci under mutation-selection balance and Muller’s ratchet}},
  doi          = {10.1016/j.jtbi.2021.110729},
  volume       = {524},
  year         = {2021},
}

@article{3656,
  abstract     = {We have analysed the role of sampling drift in inducing shifts between alternative adaptive peaks, in small and rapidly growing populations. Using a simple model of disruptive selection on a polygenic character, we calculate the net probabilityofapeakshift. If the growth rate is high, theprobabilityofashiftina growing population is insensitive to selection on the character. Assuming that the character is effectively neutral during the brief initial increase, we find that theprobabilityofapeakshift is given by theprobabilityof finding a standard normal variate greater than √2ΔV where ΔV is the reduction in additive genetic variance during the growth period. This result holds for arbitrary pattern of increase in size, provided that the rate of increase is high enough for selection to be negligible, and the character depends on a large number of loci. Comparing theprobabilityofpeakshiftsin founding populations with the rate ofshiftsin static and allopatric populations it appears that although strongly selected shifts are only likely to occur ina growing population, a static population is a more congenial setting for adaptive shifts.},
  author       = {Rouhani, Shahin and Barton, Nicholas H},
  issn         = {1095-8541},
  journal      = {Journal of Theoretical Biology},
  number       = {1},
  pages        = {51 -- 62},
  publisher    = {Elsevier},
  title        = {{The probability of peak shifts in a founder population}},
  doi          = {10.1016/S0022-5193(87)80100-5},
  volume       = {126},
  year         = {1987},
}

@article{3661,
  abstract     = {We derive a formula giving thefrequency with which random drift shifts a population betweenalternativeequilibria. This formula is valid when such shifts are rare (Ns >> 1), and applies over a wide range of mutation rates. When the number of mutations entering the population is low (4Nμ << 1), the rate of stochastic shifts reduces to the product ofthe mutation rate and the probability of fixation of a single mutation. However, when many mutations enter the population in each generation (4Nμ >> 1), the rate is higher than would be expected if mutations were established independently, and converges to that given by a gaussian approximation. We apply recent results on bistable systems to extend this formula to the general multidimensional case. This gives an explicit expression for thefrequencyof stochastic shifts, which depends only on theequilibrium probability distribution near the saddle point separating thealternative stable states. The plausibility of theories of speciation through random drift are discussed in the light of these results.},
  author       = {Barton, Nicholas H and Rouhani, Shahin},
  issn         = {1095-8541},
  journal      = {Journal of Theoretical Biology},
  number       = {4},
  pages        = {397 -- 418},
  publisher    = {Elsevier},
  title        = {{The frequency of shifts between alternative equilibria}},
  doi          = {10.1016/S0022-5193(87)80210-2},
  volume       = {125},
  year         = {1987},
}

@article{4323,
  abstract     = {It is noted that the sibling competition model for the evolution of sex and recombination, as it has been developed so far, involves truncation selection. After briefly reviewing aspects of the development and behaviour of such models an analytical treatment is presented which involves additive selection. Additive selection, as compared with truncation selection, decreases the advantage of sex to such an extent that it is unlikely that sibling competition could overcome its intrinsic two-fold cost, although it could still be important in promoting family variability produced by other mechanisms, such as polyandry.},
  author       = {Barton, Nicholas H and Post, R.J.},
  issn         = {1095-8541},
  journal      = {Journal of Theoretical Biology},
  number       = {4},
  pages        = {381 -- 387},
  publisher    = {Elsevier},
  title        = {{Sibling competition and the advantage of mixed families}},
  doi          = {10.1016/S0022-5193(86)80033-9},
  volume       = {120},
  year         = {1986},
}