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Why phylogeny should be considered

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by convention, contrasts for independent variable are positive ... Assumptions of independent contrasts. We know branch lengths ... – PowerPoint PPT presentation

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Title: Why phylogeny should be considered


1
Why phylogeny should be considered
2
Sperm competition in primates
But, species are not independent!
3
Major Available Methods
  • Linear/square-change Parsimony
  • Independent contrasts
  • Phylogenetic Autocorrelation
  • Generalized Least Squares
  • Bayesian stochasic mapping

4
Linear/Square-change parsimony
b
c
d
a
Tips n Branches 2n-2
5
Independent contrasts
b
c
d
a
Tips n Contrasts n-1
6
Independent Contrasts
value of x
value of y

24
30
40
20
9
14
20
7
22
35
8
17
7
Independent Contrasts
  • Calculations
  • by convention, contrasts for independent variable
    are positive
  • contrasts for dependent variable may be positive
    or negative
  • correlate contrasts
  • no correlation no causal relationship
  • significant correlation causal relationship
    (negative or positive)

8

Independent Contrasts
value of x

value of y
30
40
24
20
20
9
14
7
22
35
8
17
x y d1 2 4 d2 6 10 d3 9 13
9
Independent Contrasts
10
x y d1 2 4 d2 6 10 d3 9 13
y contrast
0
15
x contrast
10
Assumptions of independent contrasts
  • We know branch lengths
  • Traits values evolve by Brownian motion
  • Needed to calculate ancestral states
  • Needed to accommodate error in the estimation of
    ancestral states

11
Expected change in time, t, is 0 with var. t
12
Assumptions of independent contrasts
  • We know branch lengths
  • Traits values evolve by Brownian motion
  • Strength of correlation is the same across the
    tree

13
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14
Broader objections
  • The tip correlation may be what we care about
  • No characters evolve by Brownian motion
  • The assumption of a constant correlation is
    biologically unrealistic

15
(No Transcript)
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