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Given a      2.5 ACRES PER PERSON                     feared that someday population would outstrip
                                 During the first few decades of the twentieth  food supply, but he also noted that the produc-
                constant      century, the question of how many people the  tion of food and items like coal, iron and cotton
          environment,        earth could support was mainly an academic  was actually increasing faster than the rate of
                       any    consideration. One of the scholars who was  population growth (Figure 4).
             population       most interested in the study of populations was   In 1935, the Land Policy Section of the
                              the statistician Raymond Pearl, who earned his  USDA’s Agricultural Adjustment Administra-
       would increase         PhD at the University of Michigan and became  tion conducted the first real investigation to see
             to the limit     a professor at John Hopkins University in 1918.  just how many people could be fed with Ameri-
                    of the    Pearl’s mathematics were far more complicated  can agriculture at that time. These researchers
                              and nuanced than the simple geometrical versus  calculated that in 1930-1933, it took about 2.2
          environment,        arithmetical hypothesis of Malthus.      acres to feed each American an “adequate diet
        then remain in           Along with his colleague Lowell J. Reed,  at moderate cost.”

         a steady state.      Pearl developed what he considered to be a “law   Included in this 2.2 acre figure was a 16-22
                              of population growth”: all populations, whether  percent allowance for feeding the horses and
                              fruit flies or humans, tend to follow a logistic  mules used for agricultural production; only
                              growth curve. The first half of a logistic curve  about 1.8 acre per person was actually used
                              looks a lot like an exponential growth curve, but  to grow livestock and crops for direct human
                              then it passes an inflection point, growth slows  consumption. Tractors  had  already  entered
                              down and eventually it levels out—looking  American agriculture in 1935 but had not yet
                              somewhat like an elongated S (Figure 3).  fully displaced horses; the researchers predicted
                                 Pearl found that a logistic curve fit actual  that the horse-tractor ratio would remain ap-
                              population data much better than an exponen-  proximately the same in 1940.
                              tial curve. Given a constant environment, any   While valuable as a description of American
                              population would increase to the limit of the  agricultural productivity during the years the
                              environment, then remain in a steady state.  data were collected, this USDA study was not
                              With advances in culture or technology, a new,  especially useful for predicting the future. The
                              higher upper limit might be set, starting a new  researchers noted that there was great poten-
                              growth cycle.                            tial for increasing agricultural yields by using
                                 While admitting that accurate data on the  already known methods such as fertilization;
                              total world population did not yet exist, Pearl  controlling water supply, insects and diseases;
                              made some rough calculations and tentatively  and farming more intensively. Moreover, the
                              predicted that world population would probably  data applied specifically to the United States
                              level off around two billion people, unless a  and were never intended to be extrapolated to
                              “new cycle, made possible and inaugurated by  a global scale.
                              scientific discoveries” began. Like Malthus, he   The USDA study languished in obscurity for



             FIGURE 3. One of Raymond Pearl’s
             logistic growth curves, charting and
             projecting the population of the
             United States.

             Source: Raymond Pearl,  “The Curve of
             Population Growth,”  Proceedings
             of the  American Philosophical Society.
             1924;63(1):13.







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