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6       Modern Spatiotemporal Geostatistics —   Chapter  1

         breathtaking  range of  spatiotemporal  domains.  Examples  1.2-1.5  below refer
        to  the various uses of  maps in agricultural,  forestry,  and environmental  studies.

         EXAMPLE  1.2: Thermometric  maps  (see Fig. 1.4) provide valuable  information
        for  a  variety  of  atmospheric  studies,  agricultural  activities,  pollution  control
         investigations,  etc. (Bogaert  and Christakos, 1997).


























        Figure  1.4.  Map  of  the  predicted  maximum  daily  temperatures  (°Celsius)
              over  Belgium  for  one day  of  the  year  1990. The  equidistance between
              contours  is  0.5°;  the  lowest  level  contour  is  4.5°  (SE  part).  From
               Bogaert  and Christakos (1997).


        EXAMPLE   1.3:  In  forestry,  ground  inventory  provides  important  information
        on  biodiversity  that  cannot  be obtained  by remote sensing (Riemann Hershey,
        1997).  A  ground  inventory,  however,  is  expensive  and  labor  intensive,  es-
        pecially  when  it  covers  large  areas.  Mapping  techniques  provide  the  means
        for  estimating  unsurveyed  areas  using  a  limited  number  of  sample  points  in
        space/time.
        EXAMPLE   1.4:  Assessment of  environmental risk  due to  some pollutant  often
        requires  information  regarding  the  pollutant's  distribution  on  grids  covering
        large spatial domains and multiple  time  instances (e.g.,  Bilonick,  1985).  This
        information  can be provided  most adequately by means of  mapping techniques,
        which  on  the  basis  of  a limited  number of  existing  measurements  and  mathe-
        matical  modeling lead to  estimates of the pollutant at other  locations and time
        periods.  Also,  in  studies  relating  health  status  to  pollutant  distribution,  an
        air-quality  sampling network  usually consists of  fewer  points  in space than are
        available for  health  data  sets (Briggs  and Elliott,  1995).  Mapping  techniques
         must  then  be  employed  in  order  to  derive  pollutant  estimates  in  wider  area
        units.
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