A. Lemelin et M. Polese, WHAT ABOUT THE BELL-SHAPED RELATIONSHIP BETWEEN PRIMACY AND DEVELOPMENT, International regional science review, 18(3), 1995, pp. 313-330
This paper proposes, estimates, and tests a ''no-frills'' static two-e
quation recursive model, where the size of the largest city depends on
the level of development in a two-step relationship, with the total u
rban population intervening as an intermediate variable. The model has
the following implications for primacy: (1) contrary to Richardson an
d Schwartz's (1988) assertion, primacy is indeed related to developmen
t, albeit indirectly, but (2) the relationship does not display the be
ll shape predicted by the El-Shakhs-Mera hypothesis. Instead, primacy
as a function of development decreases monotonically at a decreasing r
ate.