Synonymous codon usage and selection on proteins
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abstract
Selection pressures on proteins are usually measured by comparing homologous
nucleotide sequences (Zuckerkandl and Pauling 1965). Recently we introduced a
novel method, termed `volatility', to estimate selection pressures on protein
sequences from their synonymous codon usage (Plotkin and Dushoff 2003, Plotkin
et al 2004a). Here we provide a theoretical foundation for this approach. We
derive the expected frequencies of synonymous codons as a function of the
strength of selection, the mutation rate, and the effective population size. We
analyze the conditions under which we can expect to draw inferences from biased
codon usage, and we estimate the time scales required to establish and maintain
such a signal. Our results indicate that, over a broad range of parameters,
synonymous codon usage can reliably distinguish between negative selection,
positive selection, and neutrality. While the power of volatility to detect
negative selection depends on the population size, there is no such dependence
for the detection of positive selection. Furthermore, we show that phenomena
such as transient hyper-mutators in microbes can improve the power of
volatility to detect negative selection, even when the typical observed neutral
site heterozygosity is low.