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440    CHAPTER 14               Population and Urbanization


        Malthus theorem an observation   The New Malthusians
        by Thomas Malthus that although   Was Malthus right? This question has provoked heated debate among demographers.
        the food supply increases arithmeti-  One group, which can be called the New Malthusians, is convinced that today’s situa-
        cally (from 1 to 2 to 3 to 4 and so
        on), population grows geometri-  tion is at least as grim as—if not grimmer than—Malthus ever imagined. For example,
        cally (from 2 to 4 to 8 to 16 and   the world’s population is growing so fast that in just the time it takes you to read this chap-
        so forth)                      ter, another 20,000 to 40,000 babies will be born! By this time tomorrow, Earth will have
                                       about 231,000 more people to feed. This increase goes on hour after hour, day after day,
        exponential growth curve a
        pattern of growth in which numbers   without letup. For an illustration of this growth, see Figure 14.1.
        double during approximately equal   The New Malthusians point out that the world’s population is following an exponential
        intervals, showing a steep accelera-  growth curve. This means that if growth doubles during approximately equal intervals
        tion in the later stages       of time, it suddenly accelerates. To illustrate the far-reaching implications of exponential
                                       growth, sociologist William Faunce (1981) retold an old parable about a poor man who
                                       saved a rich man’s life. The rich man was grateful and said that he wanted to reward the
                                       man for his heroic deed.
                                          The man replied that he would like his reward to be spread out over a four-week period,
                                          with each day’s amount being twice what he received on the preceding day. He also said
                                          he would be happy to receive only one penny on the first day. The rich man immediately
                                          handed over the penny and congratulated himself on how cheaply he had gotten by.
                                            At the end of the first week, the rich man checked to see how much he owed and was
                                          pleased to find that the total was only $1.27. By the end of the second week he owed only
                                          $163.83. On the twenty-first day, however, the rich man was surprised to find that the
                                          total had grown to $20,971.51. When the twenty-eighth day arrived the rich man was
                                          shocked to discover that he owed $1,342,177.28 for that day alone and that the total re-
                                          ward had jumped to $2,684,354.56!
                                          This is precisely what alarms the New Malthusians. They claim that humanity has just
                                       entered the “fourth week” of an exponential growth curve. To see why they think the
                                       day of reckoning is just around the corner, look at Figure 14.2. It took from the beginning
                                       of time until 1800 for the world’s population to reach its first billion. It then took only





        Large families on U.S. farms used
        to be common. Children helped
        plant and harvest crops, take care of
        animals, and prepare food. As the
        country industrialized and urbanized,
        children became nonproducers,
        making them expensive to have
        around. Consequently, the size of
        families shrank as we entered Stage 3
        of the demographic transition.
        The two adult sons in this 1890s
        Minnesota farm family are likely from
        their father’s first wife who died.
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