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MACROEVOLUTION AND THE TREE OF LIFE  135


               The vast numbers of DNA and RNA
             sequences that are generated daily from the     A    B     C   B    A     C  A     B    C
             whole diversity of life are stored as letter
             codes in open-access databases. Any investi-
             gator may download the sequences of any         (a)
             particular gene or chromosome for as many
             species as are available. There are then two     A  B  C  D  A  C B  D  A  D B  C C D  A  B
             key processes in extracting a phylogenetic
             tree from such data. First, the nucleic acid
             sequences must be  aligned, that is matched,
             so that the code of a particular gene in one     D C  A  B   B  D  A  C  D B  A  C B  C  A  D
             species is lined up with the same sequence in
             another species. Alignment can be diffi cult
             because species do not differ only in the place-             A D        D A
             ment of particular base pairs, but sometimes      C B  A  D       B  C       B  C A C  B  D
             gaps in the sequence are introduced, or whole
             sections may be repeated. Once the sequences
             of a number of species are satisfactorily               C A  B  D  A B  C  D B  A  C  D
             aligned, the phylogenetic analysis is carried
             out. The base-pair codes are treated like the
             presence/absence (1/0) codes in a morphologi-    (b)
             cal data matrix, and a variety of algorithms    Figure 5.12  The number of unique trees for
             are applied to extract the most likely tree that   three (a) and four (b) taxa. These cladograms
             explains the data.                              may be written more simply as (A(BC), (B(AC))
                                                             and ((AB)C) for the three-taxon cases, and
             The tree of life                                ((AB)(CD)), ((AC)(BD)), ((AD)(BC)), etc. for the
                                                             four-taxon cases. Note that (A(BC)) and (A(CB))
             Paleontologists and biologists are using mor-   are identical trees, and both versions count as
             phology and molecules to put together ever-     one.
             larger sectors of the tree of life. Desktop
             computers are exploding in labs around the
             world as analysts ask them to crank out ever-   the information in all existing trees. Research-
             larger trees. Bear in mind that the number of   ers are currently using all methods and
                                             n−2
             possible trees is N = (2n − 3)!/(2 (n − 2)!).   approaches to draw major sectors of the tree
             So for three species, there are three possible   of life, and such huge trees will allow paleon-
             unique trees. For four species, there are 15    tologists and biologists to carry out many
             possible trees (Fig. 5.12), for eight species   novel studies of macroevolution.
             168,210 possible trees, and for 50 species
             about the same number as there are atoms in
             the universe. You can do these calculations in   Review questions
             table 1.3.1 at http://www.talkorigins.org/faqs/  1  Consider the four logical steps that sum-
             comdesc/section1.html.                             marize natural selection (see p. 119), list
               And yet 50 species is not a demanding            examples for each of numbers 1–3, and
             number. Systematists want to know the com-         consider how the mechanism could be
             plete tree for all 240 species of primates, all    disproved.
             4500 species of mammals (now available:         2  Read books and web sites that present
             Bininda-Emonds et al. 2007), and so on.            evidence for intelligent design (ID). List

             Mathematicians tinker with the tree-fi nding        some specific examples/case studies that

             software so it finds clever ways to fi nd  the       are cited by ID supporters, and present
             best-fitting tree quickly, even though many         these in the form of falsifi able  scientifi c

             millions or billions of potential trees are con-   hypotheses.
             sidered and rejected. Another approach is to    3  Find 10 paleontological case studies on
             link existing trees for parts of the group of      speciation, by searching the internet with
             interest to create a supertree that summarizes     the key words “phyletic gradualism” and
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