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22      PART I • Framework of Climate Science


                                                                              FIGURE 2-6 Ice cores, corals, and
                                                                              tree rings Ice cores, corals, and tree
                                                                              rings are archives of climate change in
                                                                              more recent Earth history. (National
                                                                              Paleoclimate Data Center, NGDC,
                                                                              Boulder, CO.)





                 Tree rings
                 Corals
                 Ice cores





        (the daughter). This decay occurs at a known rate, the  shown in Figure 2–8: the parent decays away exponen-
        decay constant, which is a measure of the likelihood of a  tially, while the daughter shows an exactly opposite (and
        parent-to-daughter decay per amount of parent present  compensating) exponential increase in abundance. The
        per unit of time. This rate of decay in effect forms a clock  half-life is a convenient measure of the rate at which
        with which we can measure age.                      this process occurs: one half-life is the time needed for
           An event of some kind is required to start this clock  half the parent present to decay to the daughter. The
        ticking. The igneous rock that is most commonly used  first half-life reduces the parent to half its initial abun-
        for dating is basalt, which cools quickly from molten  dance, the second reduces it to half of that half (one-
        outpourings of lava. The event that starts the clock tick-  quarter), and so on. Notice the similarity of radioactive
        ing is the cooling of this material to the point where  decay to the response time concept from Chapter 1.
        neither the parent nor the daughter isotope can migrate  Because radioactive parents have a wide range of
        in or out of the molten mass. At this point, the rock  half-lives, each is most useful over a different part of
        forms a closed system, one in which the only changes  Earth’s history (Table 2–1). Radioactive isotopes remain
        occurring are caused by internal radioactive decay.  useful for at least five or six half-lives after the clock is
           In the simplest example of a closed system, the  set, but after this point too little of the parent may be left
        decay of a parent to a daughter produces the changes  to permit reliable dating. The long, slow decay series
                                                            from uranium (U) to lead (Pb) is useful for rocks that are
                                                            nearly as old as Earth itself. The decay from potassium
                                                            (K) to argon (Ar) is widely used for dating much of
                                                            Earth’s history.
                                                               Several factors can complicate radiometric dating.
                                                            Unlike the simple case shown in Figure 2–8, the initial
                                                            abundance of the daughter isotope is rarely zero: usu-
                                                            ally some amount was already present in the igneous
                                                            rock when the decay clock was set. Other problems arise
                                                            when the system does not remain fully closed to the
                                                            migration of parent or daughter isotopes.
                                                               If both igneous and sedimentary rocks are present in
                                                            a specific region, the igneous rocks can be used to con-
                                                            strain the ages of the sediment sequences. The age of
                                                            each layer of sediment can be obtained from the nearby
                                                            igneous rocks based on which is older or younger than
                                                            the other. For example, a layer of igneous rock that
                                                            spreads across the top of a layer of sediment must slightly
                                                            postdate the time the sediment was deposited and so it
        FIGURE 2-7 Instrument measurements Instruments that  provides a minimum age for that layer of sediment.
        have been used to measure climate range from the primitive  In actual practice, it is rare to find enough igneous
        thermometers of the seventeenth century to the multiple  rock in any one location to date sediments this way.
        sensors flown aboard the TOPEX/Poseidon satellite. (NASA.)  Instead, sediment sequences are dated by a combination
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