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Introduction to Phylogenetic Analysis

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Slide taken from Dr. Itai Yanai<br />

Rooted vs. Unrooted<br />

Rooted<br />

Unrooted<br />

Interior<br />

Total<br />

Interior<br />

Total<br />

Types of Trees<br />

Branches<br />

M – 2<br />

2M – 2<br />

M – 3<br />

Nodes<br />

M – 1<br />

2M – 1<br />

M – 2<br />

2M – 3 2M – 2<br />

M is the number of OTU’s<br />

Slide taken from Dr. Itai Yanai<br />

The number of rooted and unrooted trees:<br />

Possible Number of<br />

Number<br />

of OTU’s Rooted trees Unrooted<br />

trees<br />

2 1 1<br />

3 3 1<br />

4 15 3<br />

5 105 15<br />

6 945 105<br />

7 10395 945<br />

8 135135 10395<br />

9 2027025 135135<br />

10 34459425 2027025<br />

OTU – Operational Taxonomical Unit<br />

Rooted versus Unrooted<br />

The number of tree <strong>to</strong>pologies of rooted<br />

tree is much higher than that of the<br />

unrooted tree for the same number of<br />

OTUs.<br />

Therefore, the error of the unrooted tree<br />

<strong>to</strong>pology is smaller than that of the rooted<br />

tree.<br />

Orthologs - genes related by speciation<br />

events. Meaning same genes in different<br />

species.<br />

Paralogs - genes related by duplication<br />

events. Meaning duplicated genes in the<br />

same species.

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