Asynchronous distance between homologous DNA sequences.

The distance between homologous DNA sequences of two species is proposed to be -1/4 ln[det(P)], where P is the conditional probability matrix specifying the proportions of the various nucleotides in the second sequence, corresponding to each of the four nucleotides in the first sequence. A probability model is described which supports this choice of distance. Distance measures based on a constant evolutionary rate assumption are described and compared with the proposed measure. Sampling properties of both types of distance are examined and we conclude by applying the distance measures to mitochondrial DNA sequences of the hominoids.