@article{3657,
  abstract     = {Shifts between adaptive peaks, caused by sampling drift, are involved in both speciation and adaptation via Wright's “shiftingbalance.” We use techniques from statistical mechanics to calculate the rate of such transitions for apopulation in a single panmictic deme and for apopulation which is continuously distributed over one- and two-dimensional regions. This calculation applies in the limit where transitions are rare. Our results indicate that stochastic divergence is feasible despite free gene flow, provided that neighbourhood size is low enough. In two dimensions, the rate of transition depends primarily on neighbourhood size N and only weakly on selection pressure (≈sk exp(− cN)), where k is a number determined by the local population structure, in contrast with the exponential dependence on selection pressure in one dimension (≈exp(− cN √s)) or in a single deme (≈exp(− cNs)). Our calculations agree with simulations of a single deme and a one-dimensional population.},
  author       = {Rouhani, Shahin and Barton, Nicholas H},
  issn         = {1096-0325},
  journal      = {Theoretical Population Biology},
  number       = {3},
  pages        = {465 -- 492},
  publisher    = {Elsevier},
  title        = {{Speciation and the "shifting balance" in a continuous population}},
  doi          = {10.1016/0040-5809(87)90016-5},
  volume       = {31},
  year         = {1987},
}

@article{3662,
  abstract     = {The evolution of the probabilities of genetic identity within and between tandemly repeated loci of a multigene family is investigated analytically and numerically. Unbiased intrachromosomal gene conversion, equal crossing over, random genetic drift, and mutation to new alleles are incorporated. Generations are discrete and nonoverlapping; the diploid, monoecious population mates at random. Under the restriction that there is at most one crossover in the multigene family per individual per generation, the dependence on location of the probabilities of identity is treated exactly. In the “homogeneous” approximation to this “exact” model, end effects are disregarded; in the “exchangeable” approximation, to which all previous work was confined, all position dependence is neglected. Numerical results indicate that (i) the exchangeable and homogeneous models are both qualitatively correct, (ii) the exchangeable model is sometimes too inaccurate for quantitative conclusions, and (iii) the homogeneous model is always more accurate than the exchangeable one and is always sufficiently accurate for quantitative conclusions.},
  author       = {Nagylaki, Thomas and Barton, Nicholas H},
  issn         = {1096-0325},
  journal      = {Theoretical Population Biology},
  number       = {3},
  pages        = {407 -- 437},
  publisher    = {Academic Press},
  title        = {{Intrachromosomal gene conversion, linkage, and the evolution of multigene families}},
  doi          = {10.1016/0040-5809(86)90017-1},
  volume       = {29},
  year         = {1986},
}