---
_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. <i>Handbook of Statistical Genomics</i>. 4th ed.
    Wiley; 2019:115-144. doi:<a href="https://doi.org/10.1002/9781119487845.ch4">10.1002/9781119487845.ch4</a>'
  apa: Barton, N. H., &#38; Etheridge, A. (2019). Mathematical models in population
    genetics. In D. Balding, I. Moltke, &#38; J. Marioni (Eds.), <i>Handbook of statistical
    genomics</i> (4th ed., pp. 115–144). Wiley. <a href="https://doi.org/10.1002/9781119487845.ch4">https://doi.org/10.1002/9781119487845.ch4</a>
  chicago: Barton, Nicholas H, and Alison Etheridge. “Mathematical Models in Population
    Genetics.” In <i>Handbook of Statistical Genomics</i>, edited by David Balding,
    Ida Moltke, and John Marioni, 4th ed., 115–44. Wiley, 2019. <a href="https://doi.org/10.1002/9781119487845.ch4">https://doi.org/10.1002/9781119487845.ch4</a>.
  ieee: N. H. Barton and A. Etheridge, “Mathematical models in population genetics,”
    in <i>Handbook of statistical genomics</i>, 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.” <i>Handbook of Statistical Genomics</i>, edited by David Balding et
    al., 4th ed., Wiley, 2019, pp. 115–44, doi:<a href="https://doi.org/10.1002/9781119487845.ch4">10.1002/9781119487845.ch4</a>.
  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: 2023-09-08T11:24:15Z
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
external_id:
  isi:
  - '000261343000003'
isi: 1
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2019'
...