Metropolitan density functions : A Further exploration |
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| Authors: | John B. Parr |
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| Affiliation: | 1. School of Economics, Singapore Management University, 90 Stamford Road, Singapore;2. Department of Economics, University of Minnesota, 4-101 Hanson Hall, 1925 Fourth Street South, Minneapolis, MN 55455, USA;3. The Federal Reserve Bank of Minneapolis, and the National Bureau of Economic Research, USA;4. Department of Mathematics and Statistics, Williams College, Bronfman Science Center, 18 Hoxsey Street, Williamstown, MA 01267, USA;1. Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, Engesserstr. 20, D-76131 Karlsruhe, Germany;2. Technical University of Freiberg, Institute of Process Engineering and Chemical Engineering, Chair of Reaction Engineering, Fuchsmühlenweg 9, D-09599 Freiberg, Germany;3. ANKA, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, D-76344 Eggenstein-Leopoldshafen, Germany;4. Institute of Catalysis Research and Technology, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, D-76344 Eggenstein-Leopoldshafen, Germany;1. Institute of Chemistry, Martin Luther University Halle-Wittenberg, Kurt Mothes Str. 2, D-06120 Halle (Saale), Germany;2. Department of Chemistry, Faculty of Science, Cairo University, Giza, Egypt;1. Key Lab of Special Display Technology, Ministry of Education, National Engineering Lab of Special Display Technology, State Key Lab of Advanced Display Technology, Academy of Opto-Electronic Technology, Hefei University of Technology, Hefei, 230009, China;2. Key Laboratory of Advanced Functional Materials and Devices, Department of Polymer Science and Engineering, School of Chemistry and Chemical Engineering, Hefei University of Technology, Hefei, 230009, China;3. Department of Chemical Engineering, Pohang University of Science and Technology, Pohang, 790-784, South Korea |
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| Abstract: | 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. |
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