Metropolitan density functions: A Further exploration

The application of mathematical functions to population density data within metropolitan areas has become a well-established analytical procedure. The more important functions that have been previously employed in this connection are reviewed, and two additional functional forms are suggested. The proposed functions, together with the earlier ones, are evaluated in terms of their ability to describe actual density patterns, as well as their accuracy in characterizing certain features of metropolitan spatial structure. The evaluation is undertaken in relation to two metropolitan areas of the United Kingdom. While these both possess certain distinctive features, they conform in many respects to metropolitan areas in other western nations.