Statistical analysis of L-tuple frequencies in eubacteria and organelles

This work is an attempt to study the structural features and evolutionary patterns of nucleotide sequences by analyzing their 1- through 4-plet frequencies and statistical relations between them. We present mathematical apparatus for this analysis. In particular, we introduce criteria to estimate the degree of homogeneity of L-plet composition in a given set of sequences and the dependence of the L-plet frequencies on the composition of lower orders. We apply these criteria to the study of eubacteria, mitochondria and chloroplasts. We demonstrate that L-plet frequencies are quite useful for revealing evolutionary relationship between DNA sequences and that the non-random distribution is more typical for doublets than to triplets. Non-randomness of triplet composition is more characteristic to coding than to non-coding regions, while no significant differences in dinucleotide composition can be observed. The obtained results can be used for revealing possible mechanisms of the codon usage phenomena.