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Neighbor Joining Fitsch Margoliash

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Find branch lengths between i and j by treating remaining sequences as composite ... I and II are closest neighbors at distance 10. Question: Which of them is closer ... – PowerPoint PPT presentation

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Title: Neighbor Joining Fitsch Margoliash


1
Neighbor Joining (Fitsch Margoliash)
  • Generates unrooted tree, allowing for unequal
    branches
  • Given Distance matrix for sequences
  • Steps Repeat 1-3 till all branches generated
  • Take any two sequences i, j
  • Find branch lengths between i and j by treating
    remaining sequences as composite (c)
  • Calculate average i-C and j-C distances
  • Calculate branch lengths i and j
  • Treat ij as composite sequence now and generate
    new distance table.
  • Generate multiple trees by starting with
    different pairs
  • Compare resulting trees in terms of best fit to
    original distance matrix

2
(No Transcript)
3
  • I and II are closest neighbors at distance 10.
    Question Which of them is closer to the rest,
    and by how much?
  • Average distance from I to III, IV 40
  • Average distance from II to III, IV 45
  •  X Z 40
  • Y Z 45 gt x 2.5 y 7.5
  • X Y 10

x
z
I
II
y
4
  • Established
  • Now, consider (I,II) as composite sequence and
    find closest pairs
  • For 4 sequences, trivial that III,IV should be
    the closest (Why?)

2.5
I
II
7.5
5
III
A
2.5
C
I
II
B
7.5
IV
  • A B 20
  • 2.5 C A 30 ?
  • 7.5 C B 50

A 2.5 B 17.5 C 25
6
Predicted Tree

III
2.5
2.5
25
I
7.5
17.5
II
IV
7
Predicted Distance matrix
Error (52 52 52)1/2 8.66 Repeat
entire process starting with a different
pair Tree with lowest error is the best one
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