---
_id: '3619'
abstract:
- lang: eng
text: What is the chance that some part of a stretch of genome will survive? In
a population of constant size, and with no selection, the probability of survival
of some part of a stretch of map length y<1 approaches View the MathML source
for View the MathML source. Thus, the whole genome is certain to be lost, but
the rate of loss is extremely slow. This solution extends to give the whole distribution
of surviving block sizes as a function of time. We show that the expected number
of blocks at time t is 1+yt and give expressions for the moments of the number
of blocks and the total amount of genome that survives for a given time. The solution
is based on a branching process and assumes complete interference between crossovers,
so that each descendant carries only a single block of ancestral material. We
consider cases where most individuals carry multiple blocks, either because there
are multiple crossovers in a long genetic map, or because enough time has passed
that most individuals in the population are related to each other. For species
such as ours, which have a long genetic map, the genome of any individual which
leaves descendants (∼80% of the population for a Poisson offspring number with
mean two) is likely to persist for an extremely long time, in the form of a few
short blocks of genome.
author:
- first_name: Stuart
full_name: Baird, Stuart J
last_name: Baird
- first_name: Nicholas H
full_name: Nicholas Barton
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
- first_name: Alison
full_name: Etheridge, Alison M
last_name: Etheridge
citation:
ama: Baird S, Barton NH, Etheridge A. The distribution of surviving blocks of an
ancestral genome. Theoretical Population Biology. 2003;64(4):451-471. doi:10.1016/S0040-5809(03)00098-4
apa: Baird, S., Barton, N. H., & Etheridge, A. (2003). The distribution of surviving
blocks of an ancestral genome. Theoretical Population Biology. Academic
Press. https://doi.org/10.1016/S0040-5809(03)00098-4
chicago: Baird, Stuart, Nicholas H Barton, and Alison Etheridge. “The Distribution
of Surviving Blocks of an Ancestral Genome.” Theoretical Population Biology.
Academic Press, 2003. https://doi.org/10.1016/S0040-5809(03)00098-4.
ieee: S. Baird, N. H. Barton, and A. Etheridge, “The distribution of surviving blocks
of an ancestral genome,” Theoretical Population Biology, vol. 64, no. 4.
Academic Press, pp. 451–471, 2003.
ista: Baird S, Barton NH, Etheridge A. 2003. The distribution of surviving blocks
of an ancestral genome. Theoretical Population Biology. 64(4), 451–471.
mla: Baird, Stuart, et al. “The Distribution of Surviving Blocks of an Ancestral
Genome.” Theoretical Population Biology, vol. 64, no. 4, Academic Press,
2003, pp. 451–71, doi:10.1016/S0040-5809(03)00098-4.
short: S. Baird, N.H. Barton, A. Etheridge, Theoretical Population Biology 64 (2003)
451–471.
date_created: 2018-12-11T12:04:17Z
date_published: 2003-12-01T00:00:00Z
date_updated: 2021-01-12T07:44:42Z
day: '01'
doi: 10.1016/S0040-5809(03)00098-4
extern: 1
intvolume: ' 64'
issue: '4'
month: '12'
page: 451 - 471
publication: Theoretical Population Biology
publication_status: published
publisher: Academic Press
publist_id: '2764'
quality_controlled: 0
status: public
title: The distribution of surviving blocks of an ancestral genome
type: journal_article
volume: 64
year: '2003'
...