✦ LIBER ✦

Fractional-difference stochastic model of evolutionary substitutions in DNA sequences

✍ Scribed by Bruce J. West; David R. Bickel

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 116 KB
Volume: 256
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00214-5

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✦ Synopsis

The number of molecular substitutions occurring in a DNA sequence over a given time is described by a fractional-difference random walk model. This is an empirically motivated stochastic model of molecular evolution and does not address the detailed evolutionary mechanisms that lead to the substitution of nucleotides. This fractal stochastic process yields a Fano Factor, the ratio of the variance to the mean in the number of molecular substitutions, that increases as a power law in time. This prediction agrees with the observed statistics across 49 different genes in mammals. The fractional-difference model of molecular evolution is episodic and can be made consistent with the punctuated equilibrium model of macroevolution.

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