Universität zu Köln

Neidhart, Johannes and Krug, Joachim ORCID: 0000-0002-2143-6490 (2011). Adaptive Walks and Extreme Value Theory. Phys. Rev. Lett., 107 (17). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We study biological evolution in a high-dimensional genotype space in the regime of rare mutations and strong selection. The population performs an uphill walk which terminates at local fitness maxima. Assigning fitness randomly to genotypes, we show that the mean walk length is logarithmic in the number of initially available beneficial mutations, with a prefactor determined by the tail of the fitness distribution. This result is derived analytically in a simplified setting where the mutational neighborhood is fixed during the adaptive process, and confirmed by numerical simulations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Neidhart, Johannes UNSPECIFIED UNSPECIFIED UNSPECIFIED Krug, Joachim UNSPECIFIED orcid.org/0000-0002-2143-6490 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-487155
DOI:	10.1103/PhysRevLett.107.178102
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	107
Number:	17
Date:	2011
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language STRONG SELECTION; ADAPTATION; EVOLUTION; DYNAMICS; MODEL; PROBABILITY; FIXATION Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48715