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130     PART III • Orbital-Scale Climate Change


                    80˚N   60˚   40˚   20˚    0˚  20˚ 40˚ 60˚80˚S    FIGURE 7-16 June and December insolation
                0
                                                                     variations June and December monthly insolation
                                                                     values show the prevalence of precessional changes
                                                                     at low and middle latitudes and the presence of tilt
                                                                     changes at higher latitudes. Cycles of tilt and
                                                                     precession are indicated by T and P. The double
           100,000       P                                           arrows indicate variations of 30 W/m for these
                                                                                                 2
                                                                     signals.
                                                              T
          Years ago

           200,000






           300,000
                 A  June insolation changes     30 W/m 2

                  80˚N 60˚ 40˚ 20˚  0˚    20˚   40˚    60˚   80˚S
                0


                                                   P

           100,000

          Years ago      T



           200,000






           300,000
                 B  December insolation changes
                                                30 W/m 2



           As noted earlier, cycles of insolation change at  cycles, these annual eccentricity changes are negligible
        100,000 or 413,000 years are not evident in these signals  (smaller by a factor of about 50).
        because eccentricity is not a source of seasonal insola-  The pattern of insolation changes for tilt and preces-
        tion changes. Actually, very small variations in received  sion can be compared by season and by hemisphere
        insolation do occur in connection with Earth’s eccentric  (northern versus southern). Insolation variations at high
        orbit around the Sun, but these appear only as changes  latitudes caused by changes in tilt are in phase between
        in the total energy received by the entire Earth, not as  the hemispheres from a seasonal perspective: tilt maxima
        seasonal variations. These changes are governed by the  in the northern winter solstice of December match tilt
                   2 1/2
        term (1 –    ) . We have already seen that    varies  maxima in the southern winter solstice of June. With
        through time between 0.005 and 0.0607. Substituting  increased tilt (Figure 7-17A), summer (June) insolation
        these values for   in the term above reveals that changes  maxima in the northern hemisphere occur at the same
        in total insolation received because of changes in eccen-  time in the 41,000-year cycle as summer (December)
        tricity have varied by at most 0.002 (0.2%) around the  insolation maxima in the southern hemisphere on the
        long-term mean. Compared to changes in seasonal     opposite side of the orbit. Higher tilt produces more
        insolation of 10% or more at the tilt and precession  insolation at both poles in their respective summers
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