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CHAPTER 7 • Astronomical Control of Solar Radiation  135


        a minimum, the record would show only successive    rate and number of days decreased to their current lev-
        minima. These sampling attempts give completely dif-  els. This gradual slowing in Earth’s rate of rotation was
        ferent results because they are persistently biased  caused by the frictional effect of the tides.
        toward different sides of a highly modulated cycle. If  Other changes in Earth’s orbit that can be inferred
        the third scientist happened to start sampling exactly at  from this kind of information, such as changes in
        a crossover point between minima and maxima, the sci-  Earth-Moon distance, are thought to have affected the
        entist might extract a record suggesting that no signal  wavelengths of tilt and precession over tectonic-scale
        exists at all.                                      intervals. One estimate of the slow, long-term increases
           These differences show the danger of aliasing.   in the periods of tilt and precession toward their pre-
        Although this example is obviously chosen to show the  sent values is shown in Figure 7-23.
        worst possible effect of aliasing, undersampling is a
        problem in most climate records.
                                                             Key Terms
        7-10 Tectonic-Scale Changes in Earth’s Orbit
                                                            plane of the ecliptic    precession of the ellipse
        Over time scales of hundreds of millions of years, some  (p. 120)              (p. 124)
        of Earth’s orbital characteristics slowly evolved, as  tilt (p. 120)         precession of the
        shown by evidence in ancient corals. Corals are made of                        equinoxes (p. 124)
        banded CaCO layers caused by changes in environ-    solstices (p. 120)
                     3
        mental conditions. The primary annual banding reflects  equinoxes (p. 120)   precessional index
        seasonal changes in sunlight and water temperature  perihelion (p. 120)        (p. 128)
        (Chapter 2). A secondary banding follows the tidal  aphelion (p. 120)        insolation (p. 129)
        cycles created by the Moon and Sun. The tidal cycles  wavelength (p. 122)    caloric insolation seasons
        also affect water depth and other factors in the reef  period (p. 122)         (p. 132)
        environment that influence coral growth.                                     time series analysis
           Corals from 440 Myr ago show 11% more tidal      frequency (p. 122)         (p. 133)
        cycles per year than modern corals do, implying that  amplitude (p. 122)     spectral analysis (p. 133)
        Earth spun on its rotational axis 11% more times per  modulation (p. 122)    power spectrum (p. 133)
        year than at present. As a result, each year had 11%  sine waves (p. 122)
        more days. Gradually over the last 440 Myr, the spin  eccentricity (p. 123)  filtering (p. 134)
                                                                                     aliasing (p. 134)
                                                            axial precession (p. 124)
             0
                                                Tilt
                  Precession                  (41,000)
                   (23,000)                                  Review Questions
           100                                               1. Why does Earth have seasons?

                                                             2. When is Earth closest to the Sun in its present
          Myr ago  200                                          orbit? How does this “near-pass” position affect
                                                                the amount of radiation received on Earth?
                                                             3. Describe in your own words the concept of
                                                                modulation of a cycle.
           300
                                                             4. Earth’s tilt is slowly decreasing today. As it does so,
                                                                are the polar regions receiving more or less solar
                                                                radiation in summer? In winter?
           400
                                                             5. How is axial precession different from precession
                                                                of the ellipse?
                     20,000     30,000    40,000
                             Period (years)                  6. How does eccentricity combine with precession to
                                                                control a key aspect of the amount of insolation
        FIGURE 7-23 Tectonic-scale orbital changes Gradual
                                                                Earth receives?
        changes in Earth’s orbit over long tectonic time scales have
        caused a slow increase in the periods of the tilt and precession  7. Do insolation changes during summer and winter
        cycles. (Adapted from A. Berger et al., “Pre-Quaternary  have the same or opposite timing (sign) at any
        Milankovitch Frequencies,” Nature 342 [1989]: 133–34.)  single location on Earth? Why or why not?
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