# The probability of fixation of a new karyotype in a continuous population

Barton NH, Rouhani S. 1991. The probability of fixation of a new karyotype in a continuous population. Evolution. 45(3), 499–517.

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Barton, Nick H

^{IST Austria}^{}; Rouhani, ShahinAbstract

We investigate the probability of fixation of a chromosome rearrangement in a subdivided population, concentrating on the limit where migration is so large relative to selection (m ≫ s) that the population can be thought of as being continuously distributed. We study two demes, and one- and two-dimensional populations. For two demes, the probability of fixation in the limit of high migration approximates that of a population with twice the size of a single deme: migration therefore greatly reduces the fixation probability. However, this behavior does not extend to a large array of demes. Then, the fixation probability depends primarily on neighborhood size (Nb), and may be appreciable even with strong selection and free gene flow (≈exp(-B·Nb) in one dimension, ≈exp(-B\cdotNb) in two dimensions). Our results are close to those for the more tractable case of a polygenic character under disruptive selection.

Publishing Year

Date Published

1991-05-01

Journal Title

Evolution

Volume

45

Issue

3

Page

499 - 517

IST-REx-ID

### Cite this

Barton NH, Rouhani S. The probability of fixation of a new karyotype in a continuous population.

*Evolution*. 1991;45(3):499-517.Barton, N. H., & Rouhani, S. (1991). The probability of fixation of a new karyotype in a continuous population.

*Evolution*. Wiley-Blackwell.Barton, Nicholas H, and Shahin Rouhani. “The Probability of Fixation of a New Karyotype in a Continuous Population.”

*Evolution*. Wiley-Blackwell, 1991.N. H. Barton and S. Rouhani, “The probability of fixation of a new karyotype in a continuous population,”

*Evolution*, vol. 45, no. 3. Wiley-Blackwell, pp. 499–517, 1991.Barton, Nicholas H., and Shahin Rouhani. “The Probability of Fixation of a New Karyotype in a Continuous Population.”

*Evolution*, vol. 45, no. 3, Wiley-Blackwell, 1991, pp. 499–517.