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Abstract (English)
Multiple-merger coalescents, e.g. Λ-n-coalescents, have been proposed as models of the genealogy of n sampled individuals for a range of populations whose genealogical structures are not captured well by Kingman’s n-coalescent. Λ-n-coalescents can be seen as the limit process of the discrete genealogies of Cannings models with fixed population size, when time is rescaled and population size N → ∞. As established for Kingman’s n-coalescent, moderate population size fluctuations in the discrete population model should be reflected by a time-change of the limit coalescent. For Λ-n-coalescents, this has been explicitly shown for only a limited subclass of Λ-n-coalescents and exponentially growing populations. This article gives a more general construction of time-changed Λ-n-coalescents as limits of specific Cannings models with rather arbitrary time changes.
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Journal of mathematical biology, 80 (2020), 1497–1521.
https://doi.org/10.1007/s00285-020-01470-5.
ISSN: 1432-1416
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Freund, F. (2020). Cannings models, population size changes and multiple-merger coalescents. Journal of mathematical biology, 80. https://doi.org/10.1007/s00285-020-01470-5
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English
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510 Mathematics
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@article{Freund2020,
url = {https://hohpublica.uni-hohenheim.de/handle/123456789/16355},
doi = {10.1007/s00285-020-01470-5},
author = {Freund, Fabian},
title = {Cannings models, population size changes and multiple-merger coalescents},
journal = {Journal of mathematical biology},
year = {2020},
volume = {80},
}