Unbiased estimation of symmetrical directional mutation pressure from protein-coding DNA

The most generally applicable procedure for obtaining estimates of the symmetrical, or strand-nonspecific, directional mutation pressure (μ_D) on protein-coding DNA sequences is to determine the G+C content at synonymous codon sites (P _syn), and to divide P _syn by twice the arithmetic mean of the G+C content at synonymous codon sites of a large number of randomly generated, synonymously coding DNA sequences (P _syn). Unfortunately, the original procedure yields biased estimates of P _syn and μ_D and is computationally expensive. We here present a fast procedure for estimating unbiased μ_D values. The procedure employs direct calculation of P _syn (≈P _syn) and two normalization procedures, one for P _syn≤P _syn and another for P _syn≥P _syn. The normalization removes a bias sometimes caused by codons specifying arginine, asparagine, isoleucine, and leucine. Consequently, comparison of protein-coding genes that are translated using different genetic codes is facilitated. Received: 5 May 1995 / Accepted: 30 November 1995