Cladistics
In grouping species, cladists look for "derived similarities," meaning those aspects that species can be expected to share by virtue of a common evolutionary ancestry. This approach differs from that of phenetics, which does not address ancestry and associates species based on overall similarity. It also differs also from classification based on ad hoc "key characters." Cladists avail themselves of all the types of evidence available, including DNA sequences and hybridization studies, biochemistry, and traditional morphology. They often make use of computerized algorithms to identify the most likely phylogeny or "family tree" that relates the species they are considering.
Cladistics requires taxa (groups of species) to be clades. A formal code of phylogenetic nomenclature, the Phylocode[1], is currently under development for a cladistic taxonomy that abandons the Linnaean structure.
More at: cladistics.
Could add a description of the difficulty in classifying microbes: their features are derived from direct visual observation, but include such procedural characteristics as Gram stain type, motility, ability to form spores, etc. However, given an unknown bacterium with a given set of characteristics, it is in general not possible to predict its phylogeny, toxicity, etc. Other methods, using genes, their DNA, and several types of RNA, are under development.
Examples
The usual classifications of three species follow: The fruit fly so familiar in genetics laboratories (Drosophila melanogaster), humans, and the cucumber tree.
Fruit Fly (Drosophila)