Phylogenetic tree based on complete genomes using fractal and correlation analyses without sequence alignment

The complete genomes of living organisms have provided much information on their phylogenetic relationships. Similarly, the complete genomes of chloroplasts have helped resolve the evolution of this organelle in photosynthetic eukaryotes. In this review, we describe two algorithms to construct phylogenetic trees based on the theories of fractals and dynamic language using complete genomes. These algorithms were developed by our research group in the past few years. Our distance-based phylogenetic tree of 109 prokaryotes and eukaryotes agrees with the biologists' "tree of life" based on the 16S-like rRNA genes in a majority of basic branchings and most lower taxa. Our phylogenetic analysis also shows that the chloroplast genomes are separated into two major clades corresponding to chlorophytes s.l. and rhodophytes s.l. The interrelationships among the chloroplasts are largely in agreement with the current understanding on chloroplast evolution.