---
_id: '1673'
abstract:
- lang: eng
text: 'When a new mutant arises in a population, there is a probability it outcompetes
the residents and fixes. The structure of the population can affect this fixation
probability. Suppressing population structures reduce the difference between two
competing variants, while amplifying population structures enhance the difference.
Suppressors are ubiquitous and easy to construct, but amplifiers for the large
population limit are more elusive and only a few examples have been discovered.
Whether or not a population structure is an amplifier of selection depends on
the probability distribution for the placement of the invading mutant. First,
we prove that there exist only bounded amplifiers for adversarial placement-that
is, for arbitrary initial conditions. Next, we show that the Star population structure,
which is known to amplify for mutants placed uniformly at random, does not amplify
for mutants that arise through reproduction and are therefore placed proportional
to the temperatures of the vertices. Finally, we construct population structures
that amplify for all mutational events that arise through reproduction, uniformly
at random, or through some combination of the two. '
acknowledgement: 'K.C. gratefully acknowledges support from ERC Start grant no. (279307:
Graph Games), Austrian Science Fund (FWF) grant no. P23499-N23, and FWF NFN grant
no. S11407-N23 (RiSE). '
article_number: '20150114'
author:
- first_name: Ben
full_name: Adlam, Ben
last_name: Adlam
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Adlam B, Chatterjee K, Nowak M. Amplifiers of selection. Proceedings of
the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015;471(2181).
doi:10.1098/rspa.2015.0114'
apa: 'Adlam, B., Chatterjee, K., & Nowak, M. (2015). Amplifiers of selection.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering
Sciences. Royal Society of London. https://doi.org/10.1098/rspa.2015.0114'
chicago: 'Adlam, Ben, Krishnendu Chatterjee, and Martin Nowak. “Amplifiers of Selection.”
Proceedings of the Royal Society A: Mathematical, Physical and Engineering
Sciences. Royal Society of London, 2015. https://doi.org/10.1098/rspa.2015.0114.'
ieee: 'B. Adlam, K. Chatterjee, and M. Nowak, “Amplifiers of selection,” Proceedings
of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.
471, no. 2181. Royal Society of London, 2015.'
ista: 'Adlam B, Chatterjee K, Nowak M. 2015. Amplifiers of selection. Proceedings
of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471(2181),
20150114.'
mla: 'Adlam, Ben, et al. “Amplifiers of Selection.” Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences, vol. 471, no.
2181, 20150114, Royal Society of London, 2015, doi:10.1098/rspa.2015.0114.'
short: 'B. Adlam, K. Chatterjee, M. Nowak, Proceedings of the Royal Society A: Mathematical,
Physical and Engineering Sciences 471 (2015).'
date_created: 2018-12-11T11:53:24Z
date_published: 2015-09-08T00:00:00Z
date_updated: 2021-01-12T06:52:26Z
day: '08'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2015.0114
ec_funded: 1
file:
- access_level: open_access
checksum: e613d94d283c776322403a28aad11bdd
content_type: application/pdf
creator: kschuh
date_created: 2019-04-18T12:39:56Z
date_updated: 2020-07-14T12:45:11Z
file_id: '6342'
file_name: 2015_rspa_Adlam.pdf
file_size: 391466
relation: main_file
file_date_updated: 2020-07-14T12:45:11Z
has_accepted_license: '1'
intvolume: ' 471'
issue: '2181'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
Sciences'
publication_status: published
publisher: Royal Society of London
publist_id: '5477'
quality_controlled: '1'
scopus_import: 1
status: public
title: Amplifiers of selection
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 471
year: '2015'
...