---
_id: '8281'
abstract:
- lang: eng
text: 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.
article_processing_charge: No
author:
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
- first_name: Alison
full_name: Etheridge, Alison
last_name: Etheridge
citation:
ama: '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.ch4'
apa: Barton, 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.ch4
chicago: Barton, 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.
ieee: 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.
ista: 'Barton NH, Etheridge A. 2019.Mathematical models in population genetics.
In: Handbook of statistical genomics. , 115–144.'
mla: 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.
short: N.H. Barton, A. Etheridge, in:, D. Balding, I. Moltke, J. Marioni (Eds.),
Handbook of Statistical Genomics, 4th ed., Wiley, 2019, pp. 115–144.
date_created: 2020-08-21T04:25:39Z
date_published: 2019-07-29T00:00:00Z
date_updated: 2021-04-06T09:12:09Z
day: '29'
ddc:
- '576'
department:
- _id: NiBa
doi: 10.1002/9781119487845.ch4
edition: '4'
editor:
- first_name: David
full_name: Balding, David
last_name: Balding
- first_name: Ida
full_name: Moltke, Ida
last_name: Moltke
- first_name: John
full_name: Marioni, John
last_name: Marioni
language:
- iso: eng
month: '07'
oa_version: None
page: 115-144
publication: Handbook of statistical genomics
publication_identifier:
isbn:
- '9781119429142'
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Mathematical models in population genetics
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...