Page 124 - Life & Land Use on the Bahrain Islands (Curtis E Larsen)
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                               Smith (1976) discusses modern economic development models for
                      undeveloped countries to explain both changes in agrarian development and
                      institutionalized markets. In many ways these are pertinent to this study. A first
                      appraisal of Bahrain in these terms can be gained by viewing the various villages of
                      the islands in relation to their hierarchical positions with Manama. In a general
                      way, this distribution can be approached by analyzing the ranking of settlements by
                      population. This is done by plotting settlement rank as a function of urban
                      population and utilizing logarithmic scales for both axes. Two significant
                      distributions can be perceived. In the first case, the size-ranked villages show a
                      relationship given by the formula:
                                                        Pn = ^(nf1

                      where Pj is the population of the nth town in a series 1, 2, 3...n in which all towns in
                      a region are arranged in descending order by population, and P. is the largest town.
                      This relationship is formally known as the rank-size rule (Haggett 1966:101). In the
                      second case, a primate pattern is common. Here, the distribution is irregular with
                      the first order center or centers noticeably larger than predicted by the rank-size
                      rule.
                               Berry (1961) suggests that the rank-size distribution occurs in mature,
                      large-scale, highly organized, stratified, or complex societies. The conditions that
                      seem to give rise to this distribution indicate a diffusion of economic growth along
                      three courses. The first is centrifugally away from the heartland center to those
                      of the hinterlands. Second, this diffusion is from centers of higher to centers of
                      lower order in the hierarchy. Finally, the economic growth is from urban centers
                      into their surrounding fields (Berry 1971). The primate pattern is more
                      straightforward. Smith sees it as resulting from fewer specific forces and as a
                      possible indicator of imperfect competition within the economy,    In primate
                      patterns, all parts of a region are not equally serviced as they are with most
                      rank-size distributions.  Specific urban centers may monopolize suppliers and
                      consumers  and inadequately service the more distant rural areas. This case can be
                      linked to a von Thmen state with small market centers peripheral to and dominated
                      by a single large urban center (Smith 1976:30). Berry (1971) sees primacy as  a
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