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CHAPTER 6 • From Greenhouse to Icehouse: The Last 50 Million Years  101


           The opposite is true if ice melts. If all the ice present  0
        on Antarctica and Greenland today melted and flowed                        Later phase:
        back to the ocean, it would deliver a large volume of                      Ice sheet growth
        16 O-rich meltwater that would shift the ocean’s average  10               and > 7˚C additional
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        δ O value (δ O ) from its present value of 0‰ to a                         cooling of deep water
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        value of –1‰.
           A simple equation summarizes these processes:       20
                                                                  Some
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                     Δδ O = Δδ O × 0.23ΔT
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                          c      w                                Antarctic
        where  Δ means “change in.” This equation indicates  Myr ago 30  ice present        Early phase:
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        that measured changes in δ O values in the shells of                                > 6˚C cooling of
        foraminifera (Δδ O ) result from changes in the mean   40  No                       deep water
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        δ O value of the oceans (Δδ O ) and from variations       known
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        in the temperature of the water in which the shell     50  ice
        formed (ΔT). The value 0.23 results from inverting the
        4.2 value noted earlier (1/4.2 = 0.23).
           A record of  δ O over the last 70 Myr has           60
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        been compiled from benthic foraminifera living on
        the ocean floor (Figure 6-7). Although the trend is    70
                                                                                          0
                                                                                   1
                                                                           2
        shown as a single line, it is actually derived from        3       Deep-water δ O value (‰)  -1  -2
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        hundreds of individual analyses scattered around the
        line because of local temperature conditions specific  FIGURE 6-7 Long-term δ O trend Measurements
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        to each site and because of short-term changes. This  of δ O in benthic foraminifera show an erratic long-term
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        signal begins to trend erratically toward more positive  trend toward more positive values. From 50 to
        values near 50 Myr ago, and intervals of fastest change  40 Myr ago, the increase in δ O was caused by cooling
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        occur near 35 Myr ago, 13 Myr ago, and within the   of the deep ocean. After 40 to 35 Myr ago, it reflects
        last 3 Myr.                                         further ocean cooling and the formation of ice sheets.
           These changes toward more positive  δ O values   (Adapted from K. G. Miller et al., “Tertiary Oxygen Isotope
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        are caused by some combination of (1) cooling of the  Synthesis: Sea Level History and Continental Margin
        deep ocean and (2) growth of ice sheets on land. Both  Erosion,” Paleoceanography 2 [1987]: 1–19.)
        factors are critical aspects of the transition from a
        greenhouse to an icehouse climate.
           We can disentangle the effects of temperature and
        ice volume on this signal to some extent. No evidence  additional cooling of the deep ocean by more than 7°C
        exists of significant amounts of ice on Antarctica or any-  between 40 Myr ago and today (1.75‰  × 4.2°C/‰).
        where else on Earth prior to 40 Myr ago. During the  This additional cooling of 7°C in the last 40 Myr brings
        interval between 50 and 40 Myr ago, the δ O values  the total deep-ocean cooling since 50 Myr ago to more
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        increased from –0.75‰ to +0.75‰, a net change of    than 14°C.
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        +1.5‰. The temperature/δ O relationship tells us that  Because the temperature of today’s deep ocean aver-
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        deep waters must have cooled by more than 6°C (1.5‰  ages about 2°C and has cooled by at least 14°C over the
        × 4.2°C/‰) during this interval before major ice sheets  last 50 Myr, the deep-ocean temperature must have
        appeared.                                           been near 16°C before 50 Myr ago. If deep water
           Between 40 Myr ago and today, the deep-ocean     formed mainly in high latitudes as it does today, the
        δ O values increased from about +0.75‰ to +3.5‰, a  polar climates that sent such warm water into the deep
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        further increase of 2.75‰ (see Figure 6-7). Both long-  ocean must have been much warmer than they are today
        term cooling and growth of ice sheets contributed to this  (Chapter 5).
        trend. The first substantial amounts of ice appeared near
        35 Myr ago on Antarctica but not until just after 3 Myr
        ago on Greenland. Together, the modern Antarctic and  6-3 Evidence from Mg/Ca Measurements
        Greenland ice sheets make the δ O value of ocean water  Another valuable index of the climatic response of the
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        about 1‰ heavier than it would otherwise be. Conse-  ocean comes from analyzing the ratio of the elements
        quently, ~1‰ of the 2.75‰  δ O increase between     magnesium (Mg) and calcium (Ca) in the shells of
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        40 Myr ago and today can be explained by the growth of  foraminifera. The process by which Mg substitutes for
        ice sheets within that interval. The remainder of the  Ca in the foraminiferal shells depends on the tempera-
        δ O increase—1.75‰—must have been caused by an      ture of the waters in which the shells form. Across the
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