Jambe
Probabilistic Divergence Measures for
Detecting Recombination
with Markov Chain Monte Carlo
Version 1.0 alpha, September 2000
© Copyright 2000, Dirk Husmeier,
Biomathematics and Statistics Scotland (BioSS).
Synth4
In a first study, we applied the method to a synthetic
DNA sequence alignment of 4 species.
The evolution process was modelled with the Kimura 2-Parameter
model along an internal branch of length 0.2 and four
external branches of equal length 0.1. The transition-tranversion
ratio was fixed at 2.
The total length of the alignment was N=1000 base pairs,
and two recombination events were simulated after
traversing 80% of the external branches:
Strains 2 and 3 exchanged a consecutive patch of 100 basepairs between
sites 201 and 300 in the alignment, and strains 2 and 4
exchanged a chunk of 300 basepairs between sites 600 and 900.
After these recombination events, the evolutionary process
was simulated according to the new tree for the remaining
20% of the external branch lengths.
We slided a window of W=100 bp along the alignment
in step sizes of Delta W = 10 bp. The Markov chain
Monte Carlo simulations were carried out with BAMBE,
using the default parameter settings from the parameter
file provided with the software.
For each position of the window, 15000 Metroplis-Hastings
steps were carried out, of which the first 5000 steps were
discarded (burn in). Tree configurations were sampled
every ten steps, giving a total of 1000 trees for each window.
The results thus obtained are shown in the following figure:
The flanking regions of the recombinant zones are marked by peaks
in the entropy H(t), which reflects the increased
uncertainty about the topology. The recombinant regions are
clearly marked in the plots of the two Kullback-Leibler
divergence measures.
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Last modified: 22 September 2000