Page 24 - Modern Spatiotemporal Geostatistics
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Spatiotemporal  Mapping  in  Natural  Sciences       5





































         Figure  1.3.  Map  of  oil-phase isopressure contours  for  an anisotropic  intrinsic
               permeability  field  (pressure  given  in  units  of  entry  pressure).  From
               Christakos  et  al.  (2000b).

         POSTULATE    1.1:  In the  natural sciences,  a map is not  merely a data-
        loaded  artifact,  but  rather  a  visual  representation  of  a  scientific  theory
        regarding the  spatiotemporal distribution  of a  natural  variable.
             According  to  Postulate  1.1,  a  map  is a  representation  of  what  we  know
         (a  theory)  about  reality,  rather than  a  representation  of  reality  itself.  In view
        of  this  representation,  scientific  explanation  and  prediction  are to  some  ex-
        tent  parallel processes:  a cogent  explanation  of  a specific map  should involve
        demonstrating  that  it  was predictable  on the  basis  of  the  knowledge and ev-
         idential  support  available.  Maps represent one of  the  most  powerful  tools by
        which we make sense of the  world around us.  In fact,  once our  minds are tuned
        to  the  concept of  maps,  our  eyes find  them everywhere.
             Why  is  mapping  indispensable to  the  natural  sciences?  If  a  convincing
         answer  to  this  question  is  not  offered  by the  discussion so far,  the  following
        examples  can  provide  further  assistance  in  answering the  question  by  describ-
         ing  a wide  range  of  important  applications  in  which  spatiotemporal  mapping
        techniques  play a vital  role.  The  reality  is that  significant  advances  in various
         branches  of  science  have  made  it  possible to  measure, model, and thus  map a
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