Molecular Clock on a Neutral Network

Details Molecular Clock on a Neutral Network Molecular Clock on a Neutral Network

2007-05-28

arxiv.org/abs/0705.4079v1

Biology

Quantitative Biology

Populations and Evolution

10 pages

Scientific paper

10.1103/PhysRevLett.99.138104

The number of fixed mutations accumulated in an evolving population often displays a variance that is significantly larger than the mean (the overdispersed molecular clock). By examining a generic evolutionary process on a neutral network of high-fitness genotypes, we establish a formalism for computing all cumulants of the full probability distribution of accumulated mutations in terms of graph properties of the neutral network, and use the formalism to prove overdispersion of the molecular clock. We further show that significant overdispersion arises naturally in evolution when the neutral network is highly sparse, exhibits large global fluctuations in neutrality, and small local fluctuations in neutrality. The results are also relevant for elucidating the topological structure of a neutral network from empirical measurements of the substitution process.

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