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A forest of trees. even with modest numbers of tip species , the number of possible trees is frightening. Fitch W.M. 1971. Syst . Zool. 20: 406-416. Types of trees. trees that seem different – may be not. Orang Oetan. Orang Oetan. Chimpansee. Chimpansee. Macaque. Macaque.

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slide1

A forest of trees

even with modest numbers of tip species, the number of possible trees is frightening.

Fitch W.M. 1971. Syst. Zool. 20: 406-416.

slide2

Types of trees

trees that seem different – may be not.

OrangOetan

OrangOetan

Chimpansee

Chimpansee

Macaque

Macaque

Colobus

Colobus

Gibbon

Gibbon

Human

Human

Gorilla

Gorilla

=

slide3

Types of trees

there are always fewer unrooted trees than rooted trees.

Alpha

Delta

Gamma

Beta

Epsilon

Gamma

Alpha

Beta

>

Delta

Epsilon

FitchW.M. 1971. Syst. Zool. 20: 406-416.

slide4

Types of trees

there are more labeled than unlabeled trees.

Alpha

Delta

Gamma

Beta

Epsilon

>

FitchW.M. 1971. Syst. Zool. 20: 406-416.

slide7

Forests of labeled, rooted, bifurcating trees

4 tip species

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slide8

Forests of labeled, rooted, bifurcating trees

n tip species

(2n -3)!

# possible trees =

2n-2(n - 2)!

= 1 x 3 x 5 x 7 x 9 x 11 x … x (2n-3)

slide9

Forests of labeled, rooted, bifurcating trees

n tip species

Avogadro

Eddington

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