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210     Modern  Spatiotemporal  Geostatistics —  Chapter  10

              Table  10.2.  The  effect of  soft  PMio  data at  a set of  estimation
                              points  on August  31,  1995.
                                    Estimation  error

               Monitoring  (a)  Without  soft  data at  (b)  With  soft  data at
                station  no.  the  estimation  points  the  estimation  points
                   40               0.75                0.12
                   44               0.73                0.13
                   46               1.33                0.22
                   39               4.95                0.67
                     1              3.20                0.54







         h
















                                               3
         Figure  10.6.  Map of the Ae  values (in /ng/m )  over North  Carolina  averaged
              during  a  three-day  period.  This  map  demonstrates the  improvement
              gained  by considering soft  data at  the  estimation  points.


        data  into the  mapping process.  An  assessment  of  this work  is presented in  the
        following  example.


         EXAMPLE  10.2:  In  Figure  10.7  we show the  numerical  work  (CPU  time)  re-
        quired  by  the  BME  technique  on  an  HP-9000  computer  for  a  typical  case
         (SANLIB99,  1999).  The  CPU time  is plotted  as a function  of  the  number  of
        soft  (interval)  data  points  (for  2,  8,  and  32  hard data  points).  It  is  evident
        from  Figure  10.7  that  the  CPU  time  remains small  (e.g.,  less  than  0.15  sec
        for  up to  about  7 soft  data points), which  makes  BME  a numerically efficient
         method  for  spatiotemporal  analysis.  For larger numbers of soft  data points one
        should  use a Monte  Carlo method.
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