Compare tree hypotheses with character evidence
Score alternative branching patterns and recognize ties and conflicting evidence.
Learning outcome: Interpret an unrooted quartet and compare minimum-change explanations without treating the best score as proof.
Starting recap
A phylogenetic tree proposes relationships among lineages. Shared states can arise by shared ancestry, convergence or reversal; a character matrix records observations to explain.
All lessons are open directly. Your saved experiments remain when you leave and return.
Try
Two binary characters group A with B and C with D. A third differs only in taxon A. Compare the three possible unrooted splits.
Open the experimentPredict
Will adding a character supporting a different split always produce a unique best tree?
Experiment
Compare all three tree choices on the concordant dataset. Switch to conflicting and then uninformative characters. Capture a unique result and a tie, and inspect per-character costs.
Compare three unrooted tree hypotheses
Worked teaching model · synthetic values · Four fictional taxa have binary characters. Each change costs one; the model exhaustively checks both internal-node states on each unrooted quartet. These synthetic data provide neither a root nor times, and minimum changes are not proof of the true history.
Reset keeps your prediction, captures and practice history.
Unrooted split: AB | CD
| Character | A | B | C | D | Minimum changes |
|---|---|---|---|---|---|
| 1 | 0 | 0 | 1 | 1 | 1 |
| 2 | 0 | 0 | 1 | 1 | 1 |
| 3 | 0 | 1 | 1 | 1 | 1 |
The internal states are unknown. Each character is minimized separately across all four assignments to the two internal nodes. The comparison below reports all candidate scores, including ties.
| Row | Quantity | Value (minimum changes) |
|---|---|---|
| 1 | AB | CD | 3 |
| 2 | AC | BD | 5 |
| 3 | AD | BC | 5 |
Selected AB | CD: 3 changes. Minimum: 3; unique best split AB | CD.
Every character is scored separately by minimizing changes over four possible internal-state assignments. Sum those minima. Conflicting or uninformative characters can leave a tie. Character dependence, convergence and reversals can mislead an unqualified fewest-changes rule.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Explain why these trees cannot identify an ancestor or date a split. Describe additional evidence that could test a favored topology and why correlated characters can overweight one signal.
Continue
Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
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