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CHAPTER 9 • Insolation Control of Ice Sheets  163


        When ice begins to accumulate on the land, the immedi-  part of the rebound quickly lifts the bedrock and elimi-
        ate (elastic) sagging of the bedrock depresses the land and  nates part of the depression. But the (larger) viscous part
        promotes ice sheet melting. But the slower (and larger)  of the rebound leaves the ice sheet at lower elevations in
        viscous bedrock response keeps the growing ice sheet at  the depression it created and in warmer air that causes
        higher elevations, where temperatures are colder, abla-  further ice melting.
        tion is slower, and the ice mass balance is more positive.
        Overall, the delay in bedrock sinking provides a positive
        feedback to the growing ice sheet.                  9-4 Full Cycle of Ice Growth and Decay
           Bedrock plays the same overall positive feedback role  In this section, we explore the interactions of insola-
        during times when the ice is melting (Figure 9–11 bot-  tion, ice volume, and bedrock responses during a typi-
        tom). The weight of a large ice sheet that exists for thou-  cal cycle of ice sheet growth and decay (Figure 9–12).
        sands of years creates a deep depression in the underlying  Because of the long lags inherent in the responses, the
        bedrock. As the ice begins to melt, the (smaller) elastic  factors interact in an intricate way to create and destroy
                                                            ice sheets.
                                                               We start with an interglacial maximum with the cli-
                                                            mate point P located in the Arctic Ocean and with no
                                                            ice sheet present on the northern continent (Figure
                            Ice sheet     Bedrock sinking   9–12A). As summer insolation begins to decrease from a
                             grows         delayed for      previous maximum, the equilibrium line shifts to the
                                           thousands
                            Ice grows        of years       south and the climate point gradually moves onto the
                             faster                         land. Some snow survives summer ablation on the far
                                                            northern part of the continent, and a small ice sheet
                                                            begins to form (Figure 9–12B).
                                                               As the ice sheet slowly grows, it reaches higher,
                                          Ice sheet         colder elevations where accumulation dominates over
                                        stays at higher,    ablation (Figure 9–12C). The ice also advances south-
                                       colder elevations
                                                            ward, partly because the equilibrium line is moving
                                                            south and partly because internal flow from the area of
                    More
                    positive                                ice accumulation in the north carries ice to the south.
                   ice mass                                 The thickening ice sheet slowly begins to weigh down
                   balance                                  the bedrock, but most of the bedrock depression lags
                                                            several thousand years behind ice accumulation. This
        A Low summer insolation
                                                            delay in bedrock sagging helps to keep the surface of the
                                                            ice sheet at higher and colder elevations where accumu-
                           Ice sheet     Bedrock rebound
                             melts                          lation exceeds ablation.
                                           delayed for         The highest rate of ice accumulation occurs when
                                           thousands
                            Ice melts       of years        summer insolation reaches a minimum value and the
                             faster                         equilibrium line is displaced farthest south (Figure
                                                            9–12C). At this point the ice sheet has not yet reached
                                                            maximum size because of the lag of ice volume behind
                                                            the insolation driver. The rapid growth of new ice
                                          Ice sheet         continues to weigh down the bedrock even more, with
                                        stays at lower,
                                       warmer elevations    a lag of thousands of years for each new increment
                                                            of ice.
                    More                                       Summer insolation then begins to increase and shift
                   negative                                 the equilibrium line slowly back to the north, but the
                   ice mass                                 ice sheet continues to grow to its maximum size for sev-
                   balance                                  eral thousand years (Figure 9–12D). Ice growth contin-
                                                            ues because insolation levels are still relatively low and
        B High summer insolation
                                                            because most of the surface of the ice sheet lies above
        FIGURE 9-11 Bedrock feedback to ice growth and melting  the equilibrium line, protected from the slowly increas-
        (A) Delayed bedrock sinking during ice accumulation and  ing levels of ablation.
        (B) delayed rebound during ice melting provide positive  At some point, the combined effects of the ongoing
        feedback to the growth and decay of ice sheets.     northward shift of the equilibrium line along with the
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