Models of Sequence Evolution and Maximum Likelihood Trees · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

The model behind the tree

Science · Genetics & Evolution · ages 22-23
Name ______________________   Date ____________
  1. What does the gamma rate parameter model?

    • The number of species in the tree
    • The age of the oldest fossil
    • Rate variation across sites
  2. Which model allows each nucleotide pair its own rate plus unequal base frequencies?

    • Jukes-Cantor
    • The general time reversible model
    • HKY
  3. A tree likelihood sums over all possible ancestral states at the internal nodes.

    Circle one:   True   False

  4. HKY adds which ingredients over Jukes-Cantor?

    • Fewer parameters and no rates
    • Unequal base frequencies plus a transition bias
    • Fossil dates and tip ordering
  5. A study ignores rate variation although sites evolve at very different speeds. What goes wrong?

    • Nothing ever goes wrong
    • All branch lengths become infinite
    • Long branches shrink unfairly and fast lineages may group wrongly
  6. Two candidate trees swap winner when the model moves from Jukes-Cantor to GTR plus gamma. What does this show?

    • Model choice directly changes which tree wins
    • Likelihood never depends on any model
    • The alignment contains no information
  7. Reading a tree by the left-to-right order of tip names gives the correct relationships.

    Circle one:   True   False

  8. A tree groups two fast evolving lineages with sky-high support under a no-gamma model, but the grouping vanishes under GTR plus gamma. What is the likely story?

    • Coincidental matches fooled the simple model; the grouping is suspect
    • The rich model must be wrong because support was high
    • Fast lineages always form true clades
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Answer key

For grown-ups. Fold this page away before handing over the rest.

The model behind the tree W1-mt_Ujtg0xul9N-s1

  1. Rate variation across sites · Sites evolve at very different speeds, and gamma spreads them out.
  2. The general time reversible model · GTR is the richest of the three, with six exchange rates.
  3. True · Hidden ancestors are averaged out, not guessed one by one.
  4. Unequal base frequencies plus a transition bias · HKY keeps one transition rate apart from transversions with realistic composition.
  5. Long branches shrink unfairly and fast lineages may group wrongly · One average speed undercounts overlapping changes on fast branches.
  6. Model choice directly changes which tree wins · Every topology score runs through the model, so models move crowns.
  7. False · Only shared nodes define closeness; tip order is drawing choice.
  8. Coincidental matches fooled the simple model; the grouping is suspect · Underestimated long branches attract, and high support from a poor model misleads.
Worksheet · LightMySky