Comparison of the Cladograms Produced by Li's Method and Farris' Method

Qin Ting-kui, Duan Yu

Received:1900-01-01 Revised:1900-01-01 Online:1993-01-10 Published:1993-01-10
Contact: Qin Ting-kui

Abstract:

In order to avoid producing many equally most parsimonious trees,

Li (1990) developed a new cladistic method, the Median Elimination

Series (MES), to construct a single cladogram for a given data set. However, we

found that Li's method can produce more than one tree if two or more taxa have

the same advancement index (which is the total number of apomorphies for a

taxon in a given data set), because there is no objective method to decide which

taxon should be connected first and different orders of connection can produce

different trees.

Li claimed that the result produced by his method did not apply the principle

of simplicity (parsimony). Nevertheless, Zhang (1991) recognised that Li's meth-

od actually accepted the principle of parsimony. Here we demonstrated that Li's

method also can produce the minimum-length trees.

We conclude that Li's method could produce more than one tree and the tree(s)

may be the minimum-length possible. However, the length of tree(s) depends

on the order of connection of the taxa. The major problems in using Li's method

are discussed.

Key words: Cissus, Sphagnum, Cladistic analysis, Li's method, Median Elimination Series (MES), Farris’ method

Qin Ting-kui, Duan Yu. Comparison of the Cladograms Produced by Li's Method and Farris' Method[J]. .

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