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176  INTRODUCTION TO PALEOBIOLOGY AND THE FOSSIL RECORD





                                 Box 7.3  Professor Alvarez’s equation

                        In proposing that the dinosaurs and many other organisms had been killed by an asteroid impact,
                        Luis Alvarez proposed an equation that summarized all the key features of an impact and the black-
                        ing-out of the sun. The equation is simple and daring, especially because it is based on limited evi-
                        dence. This might seem to be a bad thing – surely scientists should be careful? However, sticking
                        your neck out is a good thing for a scientist to do. You have to dare to be wrong; but it helps to be
                        right sometimes as well.
                           The role of a scientist is to test hypotheses (see p. 4), and that means your own hypotheses have
                        to be open to test by others. The more daring the hypothesis, the easier it would be to disprove. The
                        Alvarez et al. (1980) model for the KT mass extinction was extremely daring and could easily have
                        failed. The fact that it has not been disproved, and indeed that a huge amount of new evidence sup-
                        ports it, makes this a very successful hypothesis.
                           The Alvarez et al. (1980) formula is:

                                                               M =  sA
                                                                    .
                                                                   022 f
                        where M is the mass of the asteroid, s is the surface density of iridium just after the time of the
                        impact, A is the surface area of the Earth, f is the fractional abundance of iridium in meteorites, and
                        0.22 is the proportion of material from Krakatoa, the huge volcano in Indonesia that erupted in
                        1883, that entered the stratosphere. The surface density of iridium at the KT boundary was estimated
                                −9
                                      −2
                        as 8 × 10  g cm , based on the local values at Gubbio, Italy and Stevns Klint, Denmark, their two
                                                                                                    −6
                        sampling localities. Measurements of modern meteorites gave a value for f of 0.5 × 10 .
                           Running all these values in the formula gave an asteroid weighing 34 billion tonnes. The diameter
                        of the asteroid was at least 7 km. Other calculations led to similar results, and the Alvarez team
                        fixed on the suggestion that the impacting asteroid had been 10 km in diameter.

                           Websites about the KT event may be seen at http://www.blackwellpublishing.com/
                        paleobiology/.

                      long intervals of time as a result of climatic   In some interpretations, the volcanic model
                      changes. On land, subtropical lush habitats     explains instantaneous catastrophic extinc-
                      with dinosaurs gave way to strongly seasonal,   tion, while in others it allows a span of
                      temperate, conifer-dominated habitats with      3 myr or so, for a more gradualistic pattern
                      mammals. Further evidence for the gradualist    of dying off caused by successive eruption
                      scenario is that many groups of marine organ-   episodes.
                      isms declined gradually through the Late Cre-     The gradualist and volcanic models held
                      taceous. Climatic changes on land are linked    sway in the 1980s and 1990s, but increasing
                      to changes in sea level and in the area of warm   evidence for impact has strengthened support
                      shallow-water seas.                             for the view expressed in the original Alvarez
                        A third school of thought is that most of     et al. (1980) paper. The discovery of the
                      the KT phenomena may be explained by vol-       Chicxulub Crater, deep in Upper Cretaceous
                      canic activity. The Deccan Traps in India rep-  sediments on the Yucatán peninsula, Central
                      resent a vast outpouring of lava that occurred   America (Fig. 7.10) has been convincing. Melt
                      over the 2–3 myr spanning the KT boundary.      products under the crater date precisely to the
                      Supporters of the volcanic model seek to        KT boundary, and the rocks around the shores
                      explain all the physical indicators of catastro-  of the proto-Caribbean provide strong sup-
                      phe (iridium, shocked quartz, spherules, and    port too. For example, sedimentary deposits
                      the like) and the biological consequences as    around the ancient coastline of the proto-
                      the result of the eruption of the Deccan Traps.   Caribbean that consist of massive tumbled
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