Page 205 - Modern Spatiotemporal Geostatistics
P. 205

186      Modern  Spatiotemporal  Geostatistics —  Chapter  9

         (multivariable)  BME  analysis  using  both  the  exposure  and the  health-
         effect  data  are  superior  to  the  effect  predictions  obtained  from  scalar
         (single-variable)  BME  analysis using  only  health-effect  data.
             The  PEP  criterion  is  well  suited  for  exposure  and  health  distributions
         with pronounced spatial and temporal characteristics and provides a meaningful
         representation  of the  exposure-effect association in spatiotemporal domains by
        way of graphs and maps.  Before the  PEP criterion  is applied in practice,  certain
         conditions  must  be satisfied (see Christakos and  Hristopulos,  1998;  Christakos
         and  Serre,  2000a):
          (i.)  Exposure precedes  health  effect  (e.g.,  there  may exist  a  history  of  reg-
              ularity  in  such  a  precedence,  or  there  is  a  biological  possibility  of  the
              precedence  in light  of existing  knowledge about  disease etiology).
         (ii.)  Exposure  and  health  effect  are  contiguous  in  the  spatiotemporal  do-
              main  (i.e.,  there  is  a  clear  link  in  time  and  place  of  the  exposure and
              health  effect  that  we  are connecting  causally).  Condition  (M.) requires
              the  existence of  some spatiotemporal  connection  between exposure and
              effect  (e.g.,  when  we  say that  a  pollutant  caused  a group  of  receptors
              to  become  ill,  we imply  that  the  pollutant  and the  receptors  both are
              located  in the  same geographical  area).  In  many cases this contiguity is
              not  a trivial  aspect,  for  biological  or  organic  systems  are in  a constant
              state of exchange with their  surrounding environmental  conditions.
         (Hi.}  The  necessary adjustments for confounding  variables (i.e., variables that
              may  be  closely  associated with  both  exposure and  effect)  have  been
              made, so that their effects can be clearly distinguished  from  those of  the
              exposure  under  investigation.  Nevertheless, several  studies  have shown
              that strong associations are highly  unlikely to  be due entirely  to  a hidden
              confounding  variable,  unless  this  variable is closely associated with  the
              health effect and the  risk factor  (e.g., Flanders and Khoury,  1990;  Khoury
              and Yang,  1998).  Also,  Rothman and  Greenland  (1998)  have suggested
              that, given  one's ignorance regarding the  hidden causal components, the
              best  possible  approach  to  health-risk  assessment  is  to  classify  people
              according to  measured causal  risk indicators and then  assign the average
              risk  observed within a class to  persons within the  class.
            While  these  three  conditions  are commonsense in  epidemiologic  investi-
        gations  (e.g.,  Hill,  1965),  no  one of  them  is  an  all-sufficient  basis  for  judg-
        ment.  A  novel condition  introduced  by Postulate  9.1 is that  the  existence and
        strength  of  an  exposure-effect  association  is judged  on  the  basis  of  the  suc-
        cessful  space/time  predictions  to  which  the  combined  physico-epidemiologic
        analysis  leads.  Thus,  a central  feature of  the  scientific  status of the  PEP  cri-
        terion  is  its  testability,  i.e.,  the  predictions  made  by  the  PEP  criterion  are
        testable.  The better the vector  health-effect  predictions  (i.e.,  BME  predictions
        made  on  the  basis  of  physical exposure and  epidemiologic  data)  compare  to
        the  scalar health-effect  predictions  (i.e.,  BME  predictions  made on the  basis
        of  epidemiologic  data  only),  the  stronger  is the  exposure-effect  association,
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