Molecular evolution modeled as a fractal Poisson process in agreement with mammalian sequence comparisons |
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Authors: | Bickel DR; West BJ |
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Institution: | Center for Nonlinear Science, University of North Texas, Denton. bickeldr@aol.com |
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Abstract: | The fractal doubly stochastic Poisson process (FDSPP) model of molecular
evolution, like other doubly stochastic Poisson models, agrees with the
high estimates for the index of dispersion found from sequence comparisons.
Unlike certain previous models, the FDSPP also predicts a positive
geometric correlation between the index of dispersion and the mean number
of substitutions. Such a relationship is statistically proven herein using
comparisons between 49 mammalian genes. There is no characteristic rate
associated with molecular evolution according to this model, but there is a
scaling relationship in rates according to a fractal dimension of
evolution. The FDSPP is a suitable replacement for the homogeneous Poisson
process in tests of the lineage dependence of rates and in estimating
confidence intervals for divergence times. As opposed to other fractal
models, this model can be interpreted in terms of Darwinian selection and
drift.
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