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132     PART III • Orbital-Scale Climate Change


         +                                                               Winter             Summer
                                      1916 years                      40°  60°  80°     40°  60°  80°
                    July                                            0
                June    August
           Insolation anomaly                                  50,000







                                                                                                      years
                                                              100,000                                41,000
                   23,000 years
          _                                                   Years ago
                              Time
                                                              150,000
        FIGURE 7-18 Family of monthly precession curves Because
        all seasons change position (precess) around Earth’s orbit,
        each season (and month) has its own insolation trend through
        time. Monthly insolation curves are offset by slightly less than           23,000
        2000 years (23,000 years divided by 12 months).       200,000                years




                                                              250,000
           These changes in speed cause changes in the lengths
        of the months and seasons in relation to a year deter-          Departure from modern insolation
                                                                                      2
                                                                                (cal/cm /day)
        mined by “calendar time” (day of the year). The net                             0
        effect is that changes in the amplitude of insolation vari-       > +20                 < –20
        ations in the monthly signals tend to be canceled by  FIGURE 7-19 Caloric season insolation anomalies Plots
        opposing changes in the lengths of the seasons. For  of insolation anomalies for the summer and winter caloric
        example, times of unusually high summer insolation  half-year show a larger influence of tilt in relation to precession
        values at a perihelion position are also times of shorter  at higher latitudes than do the monthly anomalies. (Adapted
        summers. It is not obvious to scientists how to balance  from W. F. Ruddiman and A. McIntyre, “Oceanic Mechanisms for
        these two offsetting factors.                       Amplification of the 23,000-Year Ice-Volume Cycle,” Science 212
           One way of minimizing these complications is to cal-  [1981]: 617–27.)
        culate the changes in insolation received on Earth within
        the framework of caloric insolation seasons. The sum-
        mer caloric half-year is defined as the 182 days of the
        year when the incoming insolation exceeds the amount  vary by a maximum of only ~5% around the mean, com-
        received during the other 182 days. Caloric seasons are  pared to variations as large as 12% for the monthly
        not fixed in relation to the calendar because the insola-  insolation changes.
        tion variations caused by orbital changes are added to or
        subtracted from different parts of the calendar year (see  Searching for Orbital-Scale Changes in
        Figure 7-18). As a result, the caloric summer half-year  Climatic Records
        falls during the part of the year we think of as summer,
        but it is not precisely centered on the June 21 summer  In the next four chapters we will explore abundant evi-
        solstice.                                           dence that orbital-scale cycles are recorded in Earth’s
           Changes in insolation viewed in reference to     climate records. Many records contain two or even
        the half-year caloric seasons put a somewhat different  three superimposed orbital-scale cycles, and it can often
        emphasis on the relative importance of tilt and preces-  be difficult to disentangle them visually.
        sion. Although low-latitude insolation anomalies are still  For example, consider the three cycles shown in
        dominated in both seasons by the 23,000-year preces-  Figure 7-20A, with periods of 100,000 years, 41,000
        sion signal, the 41,000-year tilt rhythm is much more  years, and 23,000 years. These three cycles are equiva-
        obvious in high-latitude anomalies during the summer  lent to the three most prominent cycles of orbital
        caloric half-year (Figure 7-19) than it is in the monthly  change, but for simplicity they are shown as perfect sine
        insolation curves (see Figure 7-16). Another aspect of  waves rather than the more complex forms of the actual
        caloric season calculations is that the insolation values  variations.
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