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CHAPTER 9 • Insolation Control of Ice Sheets  159


                                                            accumulation and net ice ablation to shift back and
          North                               South
                                                            forth across the land. Strong summer insolation warms
                                                            the high-latitude landmasses in summer, moves the cli-
                                                    4       mate point northward over the Arctic Ocean, and puts
                              +0.5 m/yr             3       northern landmasses in an ablation regime which melts
                                 Positive mass balance  2  Altitude (km)  all winter snow each summer and does not allow ice to
                                   Negative mass balance
                                                            accumulate (see Figure 9–6 top). Weak summer insola-
                                                            tion allows the landmasses to cool, shifts the climate
                       Equilibrium        –1 m/yr           point southward over the land, and sets up a positive
                                                            mass balance over the northern edge of the continents
           Climate point   line             –2 m/yr  1      so that permanent ice can accumulate (see Figure 9–6
                                             –3 m/yr        bottom).
                                                    0
          Arctic                                               Once ice sheets begin to form, their vertical dimen-
          Ocean      Northern edge                          sion (altitude) comes into play in a powerful way (Figure
                      of continent
                                                            9–7). As the ice sheets thicken, their upper surfaces
        FIGURE 9-5 Ice sheet models Two-dimensional models
        represent northern hemisphere ice sheets along a north-south
        line. The equilibrium line separates northern (and higher)  No             Equilibrium line
        regions of net accumulation from southern (and lower)       ice
                                                                   sheet
        regions of net ablation, and it intersects Earth’s surface at the
        climate point. (Adapted from J. Oerlemans, “Model Experiments  P
        of the 100,000-Year Glacial Cycle,” Nature 287 [1987]: 430–32.)

                                                            North                                     South
           The equilibrium line in these models, the boundary
                                                             Maximum
        between areas of net ice ablation and accumulation,
        slopes upward into the atmosphere toward the south at a
        low angle. This slope is consistent with conditions today:
        temperatures are colder toward higher latitudes and alti-
        tudes and warmer toward lower latitudes and altitudes.
                                                              Summer
        As a result, subfreezing temperatures occur today only  insolation
        at high latitudes and altitudes. Long distance air travel
        commonly occurs at these subfreezing altitudes.
           Parallel to this moving equilibrium line are lines
        of ice mass balance. These lines show the thickness in
                                                             Minimum
        meters of ice that accumulates or melts each year (as
        before, snowfall is converted to an equivalent thickness
        of ice). Ice accumulates above the equilibrium line and
        in the north because of the colder temperatures, and it                   Equilibrium line
        melts in the warmer temperatures below the equilib-
                                                                  Ice sheet
        rium line and toward the south. The rates of ice melting
        are more closely spaced in the warmer areas because of
                                                                     P
        the rapid melting rates shown in Figure 9–1.
           The equilibrium line intercepts Earth’s surface in
        the higher latitudes at the climate point (Figure 9–5).  North                                South
        Ice sheet models use orbital-scale changes in summer
                                                            FIGURE 9-6 Insolation changes displace the equilibrium
        insolation to move this climate point (and the equilib-
                                                            line (Top) When the equilibrium line is driven north by high
        rium line attached to it) north and south across the  values of summer insolation, the continents lie in a regime of
        landmasses (Figure 9–6). The amount of north-south  net ablation and no ice can accumulate. (Bottom) When it is
        shift of the equilibrium line is set proportional to the  driven south by summer insolation minima, the northern
        amount of change in summer insolation. These shifts  landmasses lie in a regime of net accumulation and ice sheets
        can cover 10° to 15° of latitude.                   can grow. (P = climate point.) (Modified from J. Oerlemans,
           Gradual changes in the amount of summer radiation  “The Role of Ice Sheets in the Pleistocene Climate,” Norsk Geologisk
        received at high latitudes cause the areas of net snow  Tidsskrift 71 [1991]: 155–61.)
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