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332  INTRODUCTION TO PALEOBIOLOGY AND THE FOSSIL RECORD


                      the Lower Cambrian rocks of north Green-        have often been called mollusks. The group
                      land has promoted new discussion on the         ranges from the Cambrian to Permian with
                      identity of the earliest mollusks (Box 13.3).   some of the 40 known genera reaching lengths
                      The halkieriid not only displays the articula-  of 200 mm. Current studies assign the group
                      tion of a series of  sclerites, or plates, com-  to its own phylum, related to the mollusks
                      monly described in the past as discrete         and the peanut worms, the Sipunculida.
                      organisms, but also two large mollusk-like
                      shells at the front and back of the worm-like
                      animal. The many, often bizarre but distinc-    CLASS BIVALVIA
                      tive, early mollusks formed the basis for sub-  Bivalves are among the commonest shelly
                      sequent radiation of the phylum particularly    components of beach sands throughout the
                      during the Late Cambrian and Early Ordovi-      world. Many taxa are farmed and harvested
                      cian. The shapes of these and other mollusk     for human consumption, and pearls are a
                      shells have formed the basis numerical model-   valuable by-product of bivalve growth. The
                      ing, demonstrating that fossil and living       bivalves developed a spectacular variety of
                      shell shapes, and indeed many unknown in        shell shapes and life strategies, during a history
                      nature, can be generated by computers (Box      spanning the entire Phanerozoic, and all
                      13.4).                                          are based on a simple bilaterally symmetric
                        The hyoliths – long, conical, calcareous      exoskeleton.   The   fi rst   bivalves   were
                      shells with an operculum-covered aperture –     marine shallow burrowers; epifaunal, deep












                                 Box 13.4  Computer-simulated growth of mollusks

                        Most valves of any shelled organism can be modeled as a coil and, in fact, the ontogeny of living
                        Nautilus was known to approximate to a logarithmic spiral in the 18th century. David Raup

                        (University of Chicago), in an infl uential  study,  defined and computer-simulated the ontogeny of
                        shells on the basis of a few parameters: (i) the shape of the generating curve or axial ratio of the
                        ellipse; (ii) the rate of whorl expansion after one revolution (W); (iii) the position of the generating
                        curve with respect to the axis (D); and (iv) the whorl translation rate (T). Shells are generated by
                        translating a revolving generating curve along a fi xed axis (Fig. 13.4). For example, when T = 0,
                        shells lacking a vertical component such as bivalves and brachiopods, are simulated, whereas those
                        with a large value of T are typical of high-spired gastropods. Only a small variety of possible shell
                        shapes occur in nature. Raup’s (1966) original simulations were executed on a mainframe system.
                        Andrew Swan (1990) adapted the software for microcomputers and has simulated a wide variety of
                        shell shapes. More recent work has applied more complex techniques to simulate ammonite hetero-
                        morphs. Nevertheless only a relatively small percentage of the theoretically available morphospace
                        has actually been exploited by fossil and living mollusks. Clearly some fi elds map out functionally
                        and mechanically improbable morphologies – perhaps the aperture is too small for the living animal
                        to feed from within the shell, or the shape would not allow the animal to move; other fi elds have
                        yet to be tested in evolution. Raup’s morphospace is, however, non-orthogonal and it has been argued
                        that the mosaic of morphospace occupation is merely an artifact of presentation. Theoretical mor-
                        phospace has been explored for a range of other groups including bryozoans, echinoids, graptolites,

                        some fishes and some plants (Erwin 2007).

                           There have been many modifications of Raup’s original algorithm and a number of web
                        interfaces that can generate shell shapes; one of the simplest may be accessed via http://www.
                        blackwellpublishing.com/paleobiology/.
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