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xiv             Modern  Spatiotemporal  Geostatistics

            Correlation  analysis and Spatiotemporal  geometry         61
            Permissibility  criteria  and Spatiotemporal geometry      64
            Effect  of Spatiotemporal geometry  on  mapping            66
          Some  Final Thoughts                                         69
        CHAPTER     3:  Physical Knowledge                             71
          From  the  General  to  the  Specific                        71
          The  General  Knowledge  Base                                73
            A  mathematical  formulation  of the  general knowledge  base  74
            General  knowledge  in terms of  statistical  moments      75
            General  knowledge  in terms  of  physical  laws           76
            Some other  forms of  general  knowledge                   81
          The  Specificatory  Knowledge  Base                          82
            Specificatory  knowledge  in terms of  hard data           84
            Specificatory  knowledge in terms of  soft  data           85
          Summa  Theologica                                            87
        CHAPTER     4:  The  Epistemic  Paradigm                       89
          Acquisition  and  Processing  of  Physical  Knowledge        89
          Epistemic  Geostatistics and the  BME  Analysis              90
            Prior  stage                                               92
            Meta-prior  stage                                          94
            Integration  or  posterior  stage                          95

          Conditional  Probability of  a Spatiotemporal  Map  and  its
              Relation to  the  Probability of  Conditionals           98
            Material  and strict  map conditionals                     98
            Other  map conditionals                                   100
          The  BME  Net                                               101
        CHAPTER     5:  Mathematical  Formulation  of  the
             BME   Method                                             103
          A  Pragmatic  Framework  of  the  Mapping  Problem          103
          The  Prior  Stage                                           104
            Map  information  measures  in  light of  general knowledge  104
            General  knowledge-based  map  pdf                        106
            General  knowledge  in the  form  of  random field  statistics
              (including multiple-point  statistics)                  107
            General  knowledge  in  the  form  of  physical  laws     109
            Possible  modifications  and generalizations of  the  prior  stage  118
          The  Meta-Prior  Stage                                      119
          The  Integration  or  Posterior  Stage                      120
          The Structure of the  Modern  Spatiotemporal  Geostatistics  Paradigm  . 122
          The  Two  Legs  on Which the  BME  Equations  Stand         123
        CHAPTER     6: Analytical  Expressions of  the  Posterior
             Operator                                                 125
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