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THE  IMPOR~CE OF GENERAL STATISTICAL  IDEAS  359
                  pitfalls as any statistical problem can be, for the simple
                  reason  that  it can  only be  approached  indirectly,  as
                  there  have  been  no  statistical  records  over  a  long
                  series  of  years  showing  the  proportion  of  births  to
                  married  women  at  the  child-producing  ages,  distin-
                  guishing the ages, and showing at  the same  time  the
                  proportion of the married women to the total  at  those
                  ages.  Unless there are some such statistics, direct com-
                  parisons are impossible, and a good many of the indirect
                  methods of approaching the subject which I have studied
                  a  little  appear, to  say the  least, to  leave  much  to  be
                  desired.  We find  for  instance  that a  comparison  has
                  been  made  in  Australasia  between  the  number  of
                  marria~es in a  given year or years and  the number of
                  births 10 the five or six years following, which show, it
                  is said, a remarkable decline in the proportion of births
                  to marriages  in  recent years as compared with twenty
                  or thirty years  ago.  It  is  forgotten, however, that  at
                  the earlier dates in Australasia, when a large immigra-
                  tion  was  taking  place,  a  good  many  of the  children
                  born were the children of parents who had been married
                  before they entered the country, while there are hardly
                  any children  of such  parents at a time when immigra-
                  tion has almost ceased.  The. answer to such questions
                  is  in  truth  not  to  be  rushed.  and  the question  with
                  statisticians should rather be how the statistics are  to
                  be improved  in  future, so  that  although the past can-
                  not be fully explained, the regular statistics themselves
                  will in future give a ready answer.
                    5.  One more remark may perhaps be allowed to me
                  on account of the  delicacy and  interest of the subject.
                  To a certain  extent  the causes  of a  decline  in repro-
                  ductive energy may be part and parcel of the improved
                  condition of the population, which  leads in turn to an
                  increase  of the age  at  marriage.  and  an  increase  of
                  celibacy  generally  through  the  indisposition  of indi-
                  vidual members  of the community to.run  any risk of
                  sinking in  the scale  of living which  they may run  by
                  premature  marriage.  These  causes,  however.  may
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