Ferretti, Luca ORCID: 0000-0001-7578-7301, Schmiegelt, Benjamin, Weinreich, Daniel, Yamauchi, Atsushi ORCID: 0000-0002-8463-3491, Kobayashi, Yutaka, Tajima, Fumio and Achaz, Guillaume (2016). Measuring epistasis in fitness landscapes: The correlation of fitness effects of mutations. J. Theor. Biol., 396. S. 132 - 144. LONDON: ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD. ISSN 1095-8541

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Abstract

Genotypic fitness landscapes are constructed by assessing the fitness of all possible combinations of a given number of mutations. In the last years, several experimental fitness landscapes have been completely resolved. As fitness landscapes are high-dimensional, simple measures of their structure are used as statistics in empirical applications. Epistasis is one of the most relevant features of fitness landscapes. Here we propose a new natural measure of the amount of epistasis based on the correlation of fitness effects of mutations. This measure has a natural interpretation, captures well the interaction between mutations and can be obtained analytically for most landscape models. We discuss how this measure is related to previous measures of epistasis (number of peaks, roughness/slope, fraction of sign epistasis, Fourier Walsh spectrum) and how it can be easily extended to landscapes with missing data or with fitness ranks only. Furthermore, the dependence of the correlation of fitness effects on mutational distance contains interesting information about the patterns of epistasis. This dependence can be used to uncover the amount and nature of epistatic interactions in a landscape or to discriminate between different landscape models. (C) 2016 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Ferretti, LucaUNSPECIFIEDorcid.org/0000-0001-7578-7301UNSPECIFIED
Schmiegelt, BenjaminUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Weinreich, DanielUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Yamauchi, AtsushiUNSPECIFIEDorcid.org/0000-0002-8463-3491UNSPECIFIED
Kobayashi, YutakaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Tajima, FumioUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Achaz, GuillaumeUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-275830
DOI: 10.1016/j.jtbi.2016.01.037
Journal or Publication Title: J. Theor. Biol.
Volume: 396
Page Range: S. 132 - 144
Date: 2016
Publisher: ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
Place of Publication: LONDON
ISSN: 1095-8541
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ACCESSIBLE PATHS; MODEL; EVOLUTIONMultiple languages
Biology; Mathematical & Computational BiologyMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/27583

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