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Alphaproteobacteria are a bacterial group implicated in the ancestry of mitochondria. This relationship concerns common descent, not descent from a named modern member of Alphaproteobacteria.

A clade comprises an ancestor and all its descendants. Membership is about common descent, not a taxonomic rank or a degree of cellular complexity. In a two-domain system, the nuclear lineage of eukaryotes nests within archaea; a group containing only the prokaryotic members excludes descendants and is therefore not that complete clade. See OpenStax Biology 2e, 20.2: clades and shared ancestry.

Resemblance is a clue, not sufficient evidence of common descent. A small size, two surrounding membranes, division, retained DNA or bacterial-looking ribosomes does not uniquely identify an ancestor. Internal membranes exist outside these organelles, and a similar function can favor similar structures. The stronger question is whether independently examined molecular characters support the same historical relationship.

A concrete genomic observation is the mitochondrial sequence reported in 1997 for Reclinomonas americana: $69,034$ base pairs containing 97 identified genes, including four for a bacterial-type multisubunit RNA polymerase. This is a reported genome inventory, not a calculation from the pictured shape of a mitochondrion. Retention of such bacterial features strengthens the ancestry argument; a living Reclinomonas americana is not itself an ancestral eukaryote. The inspected abstract supplies these observations but not the detailed sequencing protocol or contamination controls, so those details are not attributed to this report here. ^[ref]

A sequence-based investigation obtains nucleotide sequences by DNA sequencing, identifies comparable genes, makes a sequence alignment and uses phylogenetics to infer relationships. The readout is a proposed relationship with support and uncertainty, not a photograph of an ancient encounter. Comparisons of plastid sequences with bacterial sequences support cyanobacterial ancestry, while the exact closest sampled cyanobacterial group has depended on the chosen data and inference. A bacterial affinity in one gene is weaker than coherent evidence across several genes and cellular systems. ^[ref]

For such an analysis, useful checks include distinguishing organelle DNA from bacterial contamination, verifying sequence quality, comparing corresponding rather than unrelated genes, sampling several bacterial groups and testing sensitivity to the sequence alignment and evolutionary mathematical model. These are methodological requirements, not a claim that this article has rerun a particular published analysis. Horizontal gene transfer, gene loss and unequal evolutionary change can make an individual gene's history differ from a whole organism's history. A supported bacterial origin therefore need not identify an extant donor species, an exact date or the original mode of entry. ^[ref]

Evolution is descent with inherited modification. Within a population, changes in allele frequencies provide a precise genetic description; over longer histories, branching descent connects populations through common descent. An individual growing larger is biological development, whereas an inherited variant becoming more frequent across generations is evolution. See UC Museum of Paleontology: the definition of evolution.

Mutation supplies new alleles, genetic recombination reshuffles inherited material, natural selection favors variants with greater reproductive contribution in a specified environment, and genetic drift changes frequencies through chance. Gene flow moves variants between populations. Consequently, an increasing allele frequency alone does not identify natural selection. See Clark, Douglas and Choi, Biology 2e: population genetics.

Evidence includes ordered fossils, shared inherited structures and similarities in DNA; phylogenetics uses such observations to infer relationships. A phylogenetic tree is an inferred historical account, with uncertainty about particular branches. See Clark, Douglas and Choi, Biology 2e: evidence of evolution. Evidence also comes from experiments: Blount, Borland and Lenski reported an Escherichia coli lineage able to use citrate with oxygen present by 31,500 generations, and tested historical dependence by replaying evolution from stored ancestors. See Blount, Borland and Lenski, 2008: original experimental report. Such observations constrain explanations; no single frequency equation captures every evolutionary process.

A sequence alignment places nucleotide sequences or protein sequences in correspondence for comparison. The choice of corresponding positions affects evolutionary inference; matching a short stretch alone does not establish common descent of entire organisms.