Volume 123, Number 2, July 2018
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||13 August 2018|
Statistical theory of phenotype abundance distributions: A test through exact enumeration of genotype spaces(a)
1 Grupo Interdisciplinar de Sistemas Complejos (GISC) - Madrid, Spain
2 Programa de Biología de Sistemas, Centro Nacional de Biotecnología (CSIC) - Madrid, Spain
3 Bioinformatics for Genomics and Proteomics, Centro Nacional de Biotecnología (CSIC) - Madrid, Spain
4 Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés - Madrid, Spain
5 Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), Universidad de Zaragoza - Zaragoza, Spain
6 UC3M-BS Institute of Financial Big Data (IFiBiD), Universidad Carlos III de Madrid - Getafe, Madrid, Spain
Received: 9 June 2018
Accepted: 27 July 2018
The evolutionary dynamics of molecular populations are strongly dependent on the structure of genotype spaces. The map between genotype and phenotype determines how easily genotype spaces can be navigated and the accessibility of evolutionary innovations. In particular, the size of neutral networks corresponding to specific phenotypes and its statistical counterpart, the distribution of phenotype abundance, have been studied through multiple computationally tractable genotype-phenotype maps. In this work, we test a theory that predicts the abundance of a phenotype and the corresponding asymptotic distribution (given the compositional variability of its genotypes) through the exact enumeration of several GP maps. Our theory predicts with high accuracy phenotype abundance, and our results show that, in navigable genotype spaces —characterised by the presence of large neutral networks— phenotype abundance converges to a log-normal distribution.
PACS: 87.10.-e – General theory and mathematical aspects / 87.15.A- – Theory, modeling, and computer simulation / 87.23.Kg – Dynamics of evolution
© EPLA, 2018
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