Experimental studies have shown that the fidelity of DNA replication can be affected by the concentrations of free deoxyribonucleotides present in the cell. Replication of mammalian chromosomes is achieved using pools of newly-synthesized deoxyribonucleotides which fluctuate during the cell cycle. Since regions of mammalian chromosomes are replicated sequentially, there is the potential for differences among mammalian loci in both the relative and absolute frequencies of the various transitional and transversional mutations which may occur. Where these mutations are effectively neutral, at silent sites in genes and in non-coding sequences, this may result in different rates of evolution and in different base compositions, as have been observed in data from mammalian genes. A simple model of the DNA replication process is developed to describe how the mutation rate could be affected by the G + C contents of the deoxyribonucleotide pools and of the replicating DNA. Mutation rates are predicted to vary from locus to locus; only in the particular case of identical G+ C contents in the DNA locus and the deoxyribonucleotide pools, and no proofreading, will the mutation rate be uniform over all loci.