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26        ECONOMIC  INQUIRIES AND STUDIES
                  indicates that a continuance of this rate of increase may
                  be considered incredible.  I t  implies future changes in
                  the  industrial  power  of the  race  which  we  have  no
                  warrant to anticipate.  The area of the  United States,
                  exclusive of Alaska,  which does not count, is 3 million
                  square miles, and of this area there are at least I  million
                  square miles,  if not more, which are sterile or rainless,
                  so that cultivation, so far as we can now foresee, is out
                  of the  question.  There  remain then  2  million p,quare
                  miles,  and  on  this  area  a  population  of 800 millions
                  would give 400 to the square mile-one-third as much
                  again as the present population per square mile in the
                  United Kingdom, twice as much per square mile as the
                  population of the United Kingdom which is supported
                  by the home agriculture, and more than twice as much
                  per square  mile  as  the  present  population of France.
                  Allowing for the greater consuming power of people in
                  the  United States as compared with that of the French
                  people, this is as much as to say that a rate of increase
                  of population like what has been going on in the Un i ted
                  States for a century is impossible in the next century,
                  unless the power of the human race to extract food from
                  the soil is  enormously increased.  No doubt the United
                  States may lose  in  each  decade  that  special  force  of
                  addition to its rate of increase due to immigration.  As
                  its  own  population  increases,  the  proportion  of the
                  area from which  immigrants  are  drawn will diminish,
                  and hence there  is  apparent  reason  to anticipate that
                  the proportion of the immigration itself will  diminish.
                  But at present there is hardly a sign of change  in  the
                  proportion  of the  immigration,  and  for  some time  to
                  come at least no material difference seems likely from
                  this cause in the rate of increase of the United States
                  population.  The increase of population between  1870
                  and 1880 was almost at as great a  rate as any that has
                  occurred.  Besides, it does  not  follow  that the diminu-
                  tion  of the  area  from  which  immigrants  are  drawn
                  should diminish  the  immigration itself.  Other things
                  being equal, a larger and larger share of the increasing
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