# Mathematical models in population genetics

Barton NH, Etheridge A. 2019.Mathematical models in population genetics. In: Handbook of statistical genomics. , 115–144.

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*Book Chapter*|

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*English*

Author

Barton, Nick H

^{IST Austria}^{}; Etheridge, AlisonBook Editor

Balding, David;
Moltke, Ida;
Marioni, John

Department

Abstract

We review the history of population genetics, starting with its origins a century ago from the synthesis between Mendel and Darwin's ideas, through to the recent development of sophisticated schemes of inference from sequence data, based on the coalescent. We explain the close relation between the coalescent and a diffusion process, which we illustrate by their application to understand spatial structure. We summarise the powerful methods available for analysis of multiple loci, when linkage equilibrium can be assumed, and then discuss approaches to the more challenging case, where associations between alleles require that we follow genotype, rather than allele, frequencies. Though we can hardly cover the whole of population genetics, we give an overview of the current state of the subject, and future challenges to it.

Publishing Year

Date Published

2019-07-29

Book Title

Handbook of statistical genomics

Page

115-144

ISBN

IST-REx-ID

### Cite this

Barton NH, Etheridge A. Mathematical models in population genetics. In: Balding D, Moltke I, Marioni J, eds.

*Handbook of Statistical Genomics*. 4th ed. Wiley; 2019:115-144. doi:10.1002/9781119487845.ch4Barton, N. H., & Etheridge, A. (2019). Mathematical models in population genetics. In D. Balding, I. Moltke, & J. Marioni (Eds.),

*Handbook of statistical genomics*(4th ed., pp. 115–144). Wiley. https://doi.org/10.1002/9781119487845.ch4Barton, Nicholas H, and Alison Etheridge. “Mathematical Models in Population Genetics.” In

*Handbook of Statistical Genomics*, edited by David Balding, Ida Moltke, and John Marioni, 4th ed., 115–44. Wiley, 2019. https://doi.org/10.1002/9781119487845.ch4.N. H. Barton and A. Etheridge, “Mathematical models in population genetics,” in

*Handbook of statistical genomics*, 4th ed., D. Balding, I. Moltke, and J. Marioni, Eds. Wiley, 2019, pp. 115–144.Barton, Nicholas H., and Alison Etheridge. “Mathematical Models in Population Genetics.”

*Handbook of Statistical Genomics*, edited by David Balding et al., 4th ed., Wiley, 2019, pp. 115–44, doi:10.1002/9781119487845.ch4.