A Dynamic Feedback Approach to Modelling Spatial Population Density
Bibliographic Data
| ID | 4141995 |
|---|---|
| Authors | R Lee (0000-0002-9698-810X, McMaster University, corresponding author) |
| Year | 1976 |
| Volume | 8 |
| Issue | 7 |
| Pages | 753-766 |
| Publication date | 1976-10-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a080753 |
| OpenAlex | W1995711037 |
| Language | EN |
| References cited | 26 |
This paper presents an approach to modelling population density as a function of space and time, both of which are treated over a continuous domain. An equilibrium (or alternatively, an optimal) distribution of urban population density is specified exogenously. The rate of change of the actual population density is then considered to be a function of the deviations between the actual and the equilibrium (or optimal) density distributions, over time. This adjustment process is interpreted as being realized by internal migration, immigration/emigration, and/or natural growth. A formal specification of the models results in integral-differential equations. A solution procedure that uses double Laplace transforms and partial Laplace transforms with respect to space and time is outlined. Properties relating to the limiting distributions are discussed. An example that makes use of exponential functions is presented; and procedures for computing explicit, and possibly heuristic, solutions are noted
Differential equation · Exponential function · Heuristic · Laplace distribution · Laplace transform · Laplace transform applied to differential equations · Mathematical analysis · Mathematical optimization · Partial differential equation · Physics · Population · Probability density function · Statistical physics · Statistics · Step function · Computer Science · Impact of Light on Environment and Health · Mathematics · Urban Transport and Accessibility · Urban, Neighborhood, and Segregation Studies · Applied Mathematics
Mental Maps
The Optimum Town
Congestion, Density and the Use of Land in Transportation
A statistical theory of spatial distribution models
The social construction of communities
Spatial Macroeconomic Development (SMED)
A formalization of the demographic transition theory
A general model of optimal growth in A system of regions
Elementary models for population growth and distribution analysis
A spatial analysis of gravity flows
Corridors
Analysis of Spatial Behavior by Revealed Space Preference
The Mathematics of Multiregional Demographic Growth
Derivation of the Negative Exponential Model by an Entropy Maximising Method
Accounts and Models for Spatial Demographic Analysis 2
A Goal-Programming Approach to Planning for Population Balance in a Multiregional System
A Kinetic Theory of Traffic Distribution and Similar Problems
Equilibrium Land Values and Population Densities in an Urban Setting
| Citation velocity | historical |
|---|---|
| Highly cited | No |