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160     PART III • Orbital-Scale Climate Change


                                                            more positive and increases the accumulation of snow
                                Equilibrium line            and ice. In effect, once ice sheets start to grow, they con-
                 Accumulation              Ablation         tribute to their own positive mass balance by growing
                                                            upward into a net accumulation regime. Eventually the
                                                            tops of the ice sheets reach elevations at which snowfall
                                                            is lower because the frigid air contains very little water
                                                            vapor and this positive feedback effect weakens.

             North                            South
                                                            9-2 Ice Sheets Lag Behind Summer Insolation
                                 Equilibrium line Ablation
              Accumulation                                  Forcing
                                                            The response of ice sheets to changes in summer insola-
                                                            tion is far from immediate. Imagine what would happen
                                                            if climate suddenly cooled enough to permit snow to
                                                            fall throughout the year and accumulate rapidly over all
                                                            of Canada. Based on the mass balance values plotted in
                                                            Figure 9–1, about 0.3 m of ice might accumulate each
                                                            year. But even under this unrealistically favorable con-
        FIGURE 9-7 Ice elevation feedback As ice sheets grow higher,
        more of their surface lies above the equilibrium line in a regime  dition, a full-sized ice sheet 3000 m thick would take
        of net accumulation, even if the equilibrium line does not move.  10,000 years to form. In reality, the ice would take
                                                            much longer to accumulate because the initial cooling
                                                            would not be instantaneous.
        reach altitudes where temperatures are much colder.    The geologist John Imbrie and his colleagues have
        The tops of the ice sheets can reach elevations of 2 to  led the exploration of the link between insolation and ice
        3 km, where temperatures are 12° to 19°C cooler than  volume. They use as an analogy a conceptual model
        those at sea level (using an average lapse-rate cooling of  based on variations through time in the intensity of the
        6.5°C per kilometer of altitude (companion Web site,  flame in a Bunsen burner shown in Figure 9–8 (top); also
        p. 15). This cooling makes the ice mass balance still  see Chapter 1. Because water has a high heat capacity






                        Maximum
                                  Bunsen
                                  burner
                                  heating  Water
                         Water           temperature
                       temperature

                                     Lag
                        Minimum
                                    Time (in minutes)





                        Minimum
                                   Solar
                                 radiation                        Figure 9-8 Ice volume lags insolation (Top) As the
                                                                  flame of a Bunsen burner is alternately turned higher
                                        Ice volume                and lower, the water heats and cools but with a short
                        Ice volume
                                                                  time lag behind the changes in heating. (Bottom)
                                                                  Similarly, long-term increases and decreases in
                                     Lag                          summer insolation heating cause ice sheets to melt
                                                                  and grow but with lags of thousands of years.
                        Maximum
               Ice                Time (in thousands of years)    (Adapted from J. Imbrie, “A Theoretical Framework for
                                                                  the Pleistocene Ice Ages,” Journal of the Geological Society
                                                                  (London) 142 [1985]: 417–32.)
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