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Distance and Likelihood Trees, and What Branch Support Means

Sequence trees can be fitted to pairwise distance estimates or inferred by maximum likelihood under a substitution model. Ordinary bootstrap support reports how often resampled alignments recover a split. Other support measures require their own interpretation.

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What a learner can do afterwards

  • Explains how a substitution model accounts for changes that raw sequence differences can hide.
  • Explains ordinary bootstrap resampling and reads its support percentage as split recovery across replicate trees.
  • Identifies a weakly supported split in a reported result and proposes a check suited to a stated limitation.

1 · Read

You have compared trees by counting character changes. For sequence trees, compare homologous sites in an alignment. Present-day differences can hide repeated substitutions or reversals: A can change to G and back to A. A substitution model estimates change under assumptions. Models may allow unequal base frequencies and rates among sites; they do not reveal the exact history.

AGA
A changes to G, then back to A. Comparing the endpoints records no difference.

Distance methods fit a tree to pairwise dissimilarity estimates from aligned sequences. Distances may be raw or model-corrected, not alignment gaps. Maximum likelihood scores the observed alignment under candidate trees and a substitution model, fitting branch lengths and other parameters. Parsimony minimizes inferred changes. Cutting a branch divides the taxa into two sets: a split. For trees with the same taxa, match splits by these sets, not their position in the drawing.

For an ordinary sequence bootstrap, sample alignment columns with replacement. Each sampled column keeps all taxa together. Make each replicate the original length. Columns may repeat or be absent; every column can also appear once. Rebuild a tree from each replicate using the same procedure. A split's bootstrap percentage is the fraction of replicate trees containing it, not the probability that the split is true.

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Suppose a split appears in 38 of 100 ordinary bootstrap trees. Its support is 38 percent. Most replicates do not recover it, so this result does not justify treating that relationship as resolved. Running more replicates reuses the same alignment sites; it adds no sequence evidence.

Splitrecovered38Notrecovered62
The bars count bootstrap results. They do not draw a tree or assign probabilities to its truth.

Weak support can reflect limited information, conflicting signals, alignment problems or poor model fit. Choose a response after checking the cause. Additional informative sites may help a short alignment; useful additional taxa may help separate long branches. Check alignment quality and plausible models too. No response guarantees stronger support.

Repeated changes can make raw similarity misleading, but unsuitable model assumptions can also mislead. When methods disagree, investigate the data and assumptions rather than trusting a method automatically. Even high bootstrap support can repeat a biased result. Check how support was calculated: other statistics, including posterior probabilities, are not ordinary bootstrap frequencies.

Distances summarize sequence differences. Likelihood scores the alignment under a tree and model. Ordinary bootstrap support counts split recovery in resampled alignments; it does not prove a split.

Lesson, questions and study cards written for this dataset.

Readings and study cards written for this dataset. Linked video: Khan Academy.

More to read

Resampling an alignment

An ordinary sequence bootstrap reuses an observed alignment. To make one replicate, choose columns with replacement until there are as many columns as in the original. Keep each selected column intact across all taxa. Repeated selections copy a column; unselected columns are absent from that replicate. Apply the same tree-building procedure to each replicate. Count how often a particular split occurs in the resulting trees. That proportion is its ordinary bootstrap support. The procedure explores sensitivity to resampling the observed columns. It does not collect new sequences. Running more replicates can make the estimated recovery frequency more stable, but cannot replace missing biological evidence. Read the reported method before interpreting a support value: other statistics are calculated differently.

Distances are estimates of difference

At an aligned position, two matching bases describe the present states. They do not give a complete history. A base could have changed and later returned to its starting state, leaving no difference between the endpoints. Raw distances summarize observed dissimilarity. Model-corrected distances estimate accumulated change under substitution assumptions. Neither kind is an alignment gap: a gap is a feature of how sequences are aligned, and its treatment must be stated separately. A distance method fits a tree to pairwise estimates. Maximum likelihood evaluates the observed alignment under a candidate tree and model. Both approaches involve assumptions. A disagreement between their trees is a reason to examine the evidence and assumptions, not proof that either method recovered the historical relationships.

Choosing a check for weak support

A weakly supported split can have several causes. There may be too few informative sites to distinguish the candidate relationships. Different sites may favor conflicting arrangements. Alignment problems or unsuitable model assumptions may also affect the result. Start with the limitation suggested by the evidence. For a short, well-checked alignment, additional informative sites may help. If alignment quality is doubtful, examine whether the compared positions are homologous. Assess the usefulness of taxon sampling and compare plausible models where their assumptions are a concern. These checks do not promise a higher support value. They help determine what the evidence can support. Report unresolved relationships openly. Even high ordinary bootstrap recovery can repeat a systematic error, so support values do not make model checking unnecessary.

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Distance and Likelihood Trees, and What Branch Support Means · Science, ages 20 to 21 · LightMySky