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Spatiotemporal Geometry 69
Figure 2.17. Geostatistical study of paleo-sea surface conditions: (a) and (b)
are variograms produced using Cartesian vs. spherical coordinates (line
with open circles = experimental, smooth dark line = model); (c)
and (d) are maps produced using Cartesian vs. spherical coordinates
(after Schafer-Neth and Stattegger, 1998; reproduced with permission).
Some Final Thoughts
This chapter has emphasized the importance of space/time in the study of
natural phenomena. Space/time can be dealt with on several levels of re-
ality associated with different physical insights, considerations of symmetry,
and restrictions on empirical understanding. We derive a particular geome-
try, however, not only empirically but also by theoretical reasoning, because
