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Held, Torsten ORCID: 0000-0002-1131-1950, Nourmohammad, Armita and Laessig, Michael (2014). Adaptive evolution of molecular phenotypes. J. Stat. Mech.-Theory Exp.. BRISTOL: IOP PUBLISHING LTD. ISSN 1742-5468

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Abstract

Molecular phenotypes link genomic information with organismic functions, fitness, and evolution. Quantitative traits are complex phenotypes that depend on multiple genomic loci. In this paper, we study the adaptive evolution of a quantitative trait under time-dependent selection, which arises from environmental changes or through fitness interactions with other co-evolving phenotypes. We analyze a model of trait evolution under mutations and genetic drift in a single-peak fitness seascape. The fitness peak performs a constrained random walk in the trait amplitude, which determines the time-dependent trait optimum in a given population. We derive analytical expressions for the distribution of the time-dependent trait divergence between populations and of the trait diversity within populations. Based on this solution, we develop a method to infer adaptive evolution of quantitative traits. Specifically, we show that the ratio of the average trait divergence and the diversity is a universal function of evolutionary time, which predicts the stabilizing strength and the driving rate of the fitness seascape. From an information-theoretic point of view, this function measures the macro-evolutionary entropy in a population ensemble, which determines the predictability of the evolutionary process. Our solution also quantifies two key characteristics of adapting populations: the cumulative fitness flux, which measures the total amount of adaptation, and the adaptive load, which is the fitness cost due to a population's lag behind the fitness peak.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Held, Torsten UNSPECIFIED orcid.org/0000-0002-1131-1950 UNSPECIFIED Nourmohammad, Armita UNSPECIFIED UNSPECIFIED UNSPECIFIED Laessig, Michael UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-429814
DOI:	10.1088/1742-5468/2014/09/P09029
Journal or Publication Title:	J. Stat. Mech.-Theory Exp.
Date:	2014
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1742-5468
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institut für Biologische Physik
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FACTOR-BINDING SITES; RANDOM GENETIC DRIFT; STABILIZING SELECTION; QUANTITATIVE GENETICS; STATISTICAL-MECHANICS; ANTIBIOTIC-RESISTANCE; TRANSCRIPTION FACTORS; PROTEIN EVOLUTION; NATURAL-SELECTION; MODEL Multiple languages Mechanics; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/42981