POPULATION DENSITY FUNCTIONS: A DIFFERENTIAL EQUATION APPROACH*
作者:
Alasdair G. M. Nairn,
Gerard J. O'Neill,
期刊:
Journal of Regional Science
(WILEY Available online 1988)
卷期:
Volume 28,
issue 1
页码: 89-102
ISSN:0022-4146
年代: 1988
DOI:10.1111/j.1467-9787.1988.tb01198.x
出版商: Blackwell Publishing Ltd
数据来源: WILEY
摘要:
ABSTRACTThis paper introduces a new mathematical technique to describe population density functions. Two length scales, which characterize the variation of these density functions within a region, are identified. A differential equation is derived and asymptotic solutions obtained. Two specific techniques, the method of matched asymptotic expansions and the method of multiple scales, are introduced and illustrated by application to population densities at both the metropolitan and regional levels.
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